SmallDoge/stable_dataset_processed · Datasets at Hugging Face

input_ids sequencelengths 1 2.05k	attention_mask sequencelengths 1 2.05k
[ 26563, 4479, 454, 8794, 713, 1505, 267, 649, 5659, 519, 3119, 2497, 540, 519, 3940, 267, 799, 786, 1450, 721, 547, 2697, 2436, 519, 3940, 814, 22734, 9259, 971, 607, 2926, 565, 1736, 269, 19452, 267, 621, 2636, 30260, 519, 4527, 540, 2022, 20675, 331, 1049, 12381, 971, 607, 9848, 6523, 2643, 725, 267, 8485, 800, 331, 725, 267, 1035, 25485, 725, 267, 3092, 269, 538, 3940, 563, 273, 11607, 670, 8582, 9215, 19294, 3008, 13543, 5990, 670, 6865, 8104, 2894, 292, 14510, 5508, 11550, 15288, 27486, 454, 5629, 519, 19454, 543, 8699, 540, 938, 3940, 3732, 814, 1044, 5462, 267, 621, 568, 2556, 547, 2708, 2436, 789, 616, 4630, 10942, 3585, 7856, 538, 519, 3732, 543, 711, 267, 585, 1383, 267, 8108, 27960, 269, 2913, 779, 1294, 1018, 2553, 666, 581, 1031, 585, 713, 3483, 912, 268, 25674, 8752, 2480, 30568, 630, 291, 11862, 994, 1607, 4480, 3096, 8701, 1242, 8955, 1769, 547, 2268, 519, 1377, 540, 32250, 538, 513, 3732, 269, 634, 24980, 786, 581, 14354, 547, 519, 8652, 323, 29174, 8953, 540, 519, 5536, 538, 3070, 1459, 538, 519, 3732, 267, 3850, 519, 4527, 540, 1507, 5666, 540, 27960, 547, 581, 4857, 563, 268, 11158, 23724, 1043, 543, 28264, 21655, 454, 763, 11158, 23724, 1043, 4480, 2636, 721, 547, 3489, 12007, 1344, 827, 519, 4527, 540, 27960, 538, 519, 3732, 538, 513, 2241, 1259, 267, 3274, 676, 5464, 519, 10110, 766, 1657, 476, 17168, 333, 332, 269, 769, 2013, 540, 5365, 267, 519, 4527, 540, 27960, 568, 9672, 563, 2026, 606, 4244, 267, 649, 666, 849, 18992, 547, 28264, 21655, 1547, 769, 713, 2013, 267, 519, 30843, 4994, 630, 9590, 264, 568, 6027, 267, 799, 568, 519, 5223, 540, 14556, 885, 19501, 676, 519, 3732, 693, 476, 18231, 333, 332, 543, 476, 22430, 333, 332, 269, 769, 519, 2013, 540, 606, 14919, 6954, 3732, 267, 713, 4994, 1590, 581, 2673, 547, 4642, 563, 268, 12025, 17181, 24885, 2762, 454, 2005, 568, 519, 3044, 9668, 4480, 547, 2697, 543, 22945, 519, 3940, 23731, 12002, 1459, 538, 519, 3732, 563, 274, 11607, 670, 8582, 9215, 19294, 3008, 13543, 5990, 8028, 30888, 14510, 5508, 11550, 15288, 27486, 454, 2414, 9096, 267, 2899, 519, 19454, 267, 8699, 543, 4630, 23189, 540, 519, 3940, 538, 519, 3732, 723, 1044, 20240, 267, 621, 568, 942, 547, 6218, 519, 6211, 2534, 543, 10342, 540, 519, 1482, 267, 538, 519, 2680, 602, 713, 568, 513, 10421, 585, 938, 22368, 563, 763, 3123, 602, 949, 2014, 519, 3940, 547, 581, 1875, 1922, 23341, 2039, 689, 11234, 24208, 1282, 519, 21921, 5364, 4082, 5123, 267, 547, 13779, 609, 3606, 9696, 971, 607, 513, 11090, 563, 2414, 3313, 519, 5834, 540, 3742, 610, 6198, 3940, 538, 519, 3732, 267, 972, 616, 2789, 1808, 29508, 971, 607, 1591, 18735, 29508, 267, 11747, 29508, 267, 610, 6198, 20700, 3041, 2026, 2073, 799, 616, 3622, 1759, 593, 519, 29512, 3601, 610, 11006, 4390, 540, 519, 3940, 540, 1719, 547, 3313, 519, 1377, 540, 6211, 2534, 540, 519, 1482, 269, 0, 1607, 2376, 568, 1152, 2139, 538, 519, 7300, 3898, 269, 8281, 519, 7300, 547, 2070, 519, 2376, 267, 607, 1134, 607, 922, 2404, 5515, 543, 7515, 563, 2414, 519, 15503, 281, 1765, 454, 16031, 269, 23011, 1230, 656, 267, 1225, 1807, 540, 20641, 693, 519, 15740, 25089, 267, 6645, 721, 602, 1034, 540, 519, 678, 25114, 333, 1389, 538, 519, 18519, 5101, 543, 14913, 1831, 27248, 1282, 1360, 3905, 4365, 269, 1358, 2611, 6456, 1282, 519, 21765, 3108, 543, 798, 741, 21786, 1782, 543, 10122, 1310, 519, 2666, 543, 2011, 723, 22799, 269, 634, 3510, 568, 10169, 1114, 538, 519, 25545, 4525, 1141, 519, 2837, 14380, 1360, 1164, 1282, 519, 21765, 3108, 267, 2523, 950, 972, 616, 1100, 12269, 269, 769, 891, 4525, 5210, 4043, 547, 6749, 14320, 693, 3781, 267, 543, 713, 568, 2523, 3020, 693, 2362, 31556, 269, 3143, 24856, 5210, 538, 891, 2127, 949, 581, 1932, 1970, 547, 12954, 519, 13131, 883, 2534, 269, 1717, 267, 6004, 269, 1230, 656, 6645, 721, 602, 519, 1200, 7065, 5505, 945, 2661, 538, 519, 4639, 2161, 602, 621, 568, 1034, 8966, 547, 1265, 678, 25114, 333, 1389, 827, 693, 1022, 942, 540, 519, 1554, 4849, 538, 519, 5614, 540, 519, 1032, 950, 789, 723, 5063, 454, 18250, 290, 516, 776, 29375, 267, 654, 584, 29992, 22743, 269, 12971, 6311, 7838, 2793, 299, 670, 5723, 3951, 306, 5508, 590, 2793, 298, 2464, 7304, 788, 569, 269, 808, 24717, 269, 476, 4198, 280, 282, 10204, 263, 1724, 2567, 15647, 277, 269, 8222, 281, 1015, 269, 1911, 272, 10768, 4821, 269, 4198, 280, 269, 27157, 6200, 4968, 12010, 2764, 454, 17357, 517, 8785, 12754, 4741, 454, 20578, 1125, 707, 808, 24717, 8416, 1995, 676, 8939, 835, 610, 811, 3584, 689, 519, 1592, 2630, 563, 8620, 513, 2123, 2272, 610, 1129, 538, 547, 281, 0, 263, 14106, 1243, 476, 2764, 2053, 267, 476, 272, 11564, 2221, 264, 293, 864, 1504, 23562, 7867, 303, 15517, 24591, 26166, 11590, 360, 271, 808, 11481, 8127, 723, 6273, 513, 2860, 1591, 3406, 1907, 1107, 1175, 835, 540, 1007, 2472, 543, 2533, 6273, 676, 2470, 11053, 550, 12386, 16785, 281, 968, 11900, 18944, 676, 7286, 7068, 602, 1459, 1279, 17895, 8163, 5627, 2789, 23287, 11890, 547, 3927, 7001, 13576, 1426, 1300, 12885, 2223, 2564, 3173, 3710, 513, 1007, 16785, 585, 1973, 602, 29598, 811, 21883, 10510, 2281, 630, 6311, 12336, 264, 982, 2009, 1354, 267, 513, 1007, 1957, 538, 623, 2793, 306, 4080, 269, 634, 17895, 8163, 1450, 513, 476, 274, 5937, 3060, 11460, 540, 5027, 22204, 602, 6474, 4686, 2860, 2281, 538, 1507, 5439, 540, 1973, 269, 3163, 11545, 6257, 1018, 789, 1705, 281, 288, 1007, 3926, 689, 3173, 693, 20037, 543, 5696, 662, 600, 543, 6468, 779, 11233, 936, 3699, 1346, 9465, 269, 27837, 676, 519, 17895, 8163, 540, 513, 21297, 8127, 267, 519, 2319, 22862, 513, 2890, 22381, 573, 545, 8756, 609, 1279, 22204, 540, 5027, 602, 10544, 1808, 5946, 1336, 593, 519, 7252, 540, 26679, 2281, 607, 789, 2095, 676, 269, 4635, 713, 4640, 267, 519, 3173, 6913, 2095, 3928, 476, 1015, 2053, 2362, 982, 4540, 3457, 2443, 3728, 2614, 547, 1118, 519, 1949, 4052, 585, 4791, 946, 2529, 7220, 11545, 11540, 513, 2034, 2376, 593, 713, 1007, 6915, 30816, 2029, 602, 666, 948, 968, 322, 2255, 543, 5305, 892, 15262, 2281, 1354, 789, 22037, 553, 1125, 267, 782, 676, 13147, 10107, 519, 17895, 12386, 1505, 540, 21297, 8127, 543, 4262, 31480, 8160, 337, 269, 11162, 18173, 281, 9894, 596, 2479, 1589, 827, 875, 2182, 621, 1131, 581, 585, 513, 18173, 547, 8038, 609, 18660, 12209, 286, 18641, 267, 789, 2097, 9280, 609, 1582, 268, 2193, 22135, 7252, 602, 5706, 1216, 543, 7452, 269, 12824, 693, 11882, 3557, 2160, 723, 2813, 513, 2627, 609, 2147, 3601, 602, 1281, 513, 1454, 1732, 2816, 693, 9363, 2973, 267, 3163, 11545, 4080, 269, 1284, 4076, 4862, 827, 16356, 2960, 543, 2603, 639, 3762, 609, 713, 3959, 267, 855, 1631, 17984, 1107, 2907, 513, 2707, 540, 6915, 15564, 17508, 585, 741, 6505, 4778, 1107, 6443, 519, 7738, 12284, 269, 4256, 1382, 1957, 568, 13886, 267, 968, 27807, 1231, 18944, 7573, 6978, 543, 18173, 13617, 2627, 3889, 9256, 16356, 2960, 543, 2603, 639, 2360, 1848, 10925, 602, 9403, 3330, 12992, 543, 596, 1223, 968, 22519, 766, 5714, 2095, 543, 2061, 7252, 689, 3478, 18660, 2443, 4162, 602, 1223, 581, 13147, 17673, 538, 1164, 24289, 7252, 585, 8484, 543, 1216, 8154, 267, 27983, 267, 543, 2564, 3937, 1848, 8505, 11703, 10198, 281, 26287, 1231, 16784, 883, 6946, 5546, 676, 2470, 540, 741, 11254, 3679, 9696, 269, 12207, 1131, 899, 547, 1628, 24519, 2173, 778, 1149, 602, 798, 602, 8945, 269, 769, 7186, 2063, 3018, 630, 22261, 476, 279, 1070, 513, 2319, 3357, 513, 2370, 6251, 547, 602, 3804, 676, 8888, 9696, 602, 1223, 16784, 883, 1360, 2241, 5546, 602, 13822, 2679, 7161, 540, 2362, 3940, 3889, 267, 12077, 267, 13672, 27810, 543, 12498, 9212, 269, 1924, 2484, 519, 2164, 1152, 6542, 6169, 540, 1523, 585, 519, 2856, 282, 2067, 5946, 616, 1454, 811, 1950, 269, 4340, 547, 519, 15503, 779, 12834, 540, 513, 7186, 5240, 1299, 14358, 2376, 593, 713, 4674, 267, 968, 763, 1374, 3741, 543, 12191, 4330, 1934, 1058, 1450, 519, 1374, 540, 513, 2647, 2039, 540, 7347, 543, 7123, 3940, 2679, 7161, 585, 519, 1985, 5108, 540, 22041, 6198, 5946, 1848, 21960, 974, 670, 29420, 5206, 267, 968, 4415, 13080, 540, 476, 3199, 1700, 1911, 11254, 7408, 267, 519, 4589, 685, 3940, 3889, 616, 13380, 538, 2450, 547, 1507, 3940, 11890, 602, 957, 607, 2679, 7161, 540, 3677, 267, 811, 1950, 5946, 269, 634, 1374, 540, 2688, 3940, 21934, 9529, 602, 1685, 1007, 3252, 568, 1631, 10703, 22133, 267, 607, 568, 519, 10198, 540, 8273, 2966, 11890, 543, 844, 15715, 776, 23838, 1848, 301, 8457, 2173, 778, 1149, 281, 24935, 540, 5946, 267, 1082, 540, 873, 16784, 883, 7636, 6191, 602, 7001, 4351, 8143, 1648, 543, 2490, 621, 883, 3730, 960, 269, 12207, 538, 12670, 16309, 538, 1818, 513, 1360, 2241, 11573, 6438, 3926, 602, 7140, 14477, 3001, 7250, 6675, 883, 9138, 960, 267, 1715, 26831, 1767, 269, 968, 297, 846, 22695, 659, 1470, 623, 2444, 783, 693, 519, 5131, 2160, 540, 12670, 538, 5125, 543, 9164, 3576, 6667, 689, 519, 2067, 1158, 267, 1141, 4351, 5163, 7060, 3889, 971, 607, 5946, 602, 1847, 18535, 1472, 3330, 2281, 1848, 2171, 2273, 2634, 281, 769, 513, 2013, 540, 8790, 574, 7497, 538, 9258, 267, 835, 11248, 5526, 547, 17932, 1480, 7214, 5759, 269, 2334, 11248, 568, 4284, 30946, 4874, 21306, 636, 267, 513, 1793, 830, 9044, 269, 7186, 5240, 3370, 606, 2376, 827, 875, 713, 7810, 2890, 2041, 2982, 606, 4608, 15967, 2702, 547, 968, 338, 9876, 544, 30769, 267, 17932, 519, 11768, 540, 812, 13402, 6283, 5121, 543, 3442, 519, 1072, 5006, 1426, 689, 513, 3309, 10624, 11652, 782, 713, 1510, 513, 2634, 610, 8401, 1062, 1848, 901, 11248, 568, 9870, 2055, 827, 1018, 13054, 4987, 269, 634, 2376, 2882, 513, 3381, 17157, 540, 519, 11248, 6061, 513, 28618, 543, 2870, 513, 3965, 540, 519, 1034, 1463, 2619, 269, 5978, 29763, 1590, 14902, 950, 10583, 812, 9620, 547, 6952, 909, 609, 519, 4066, 1261, 3710, 883, 519, 14724, 2713, 1919, 269, 4168, 3237, 1058, 1589, 12517, 827, 513, 8790, 574, 7497, 4876, 585, 741, 2257, 1790, 13440, 665, 1190, 3214, 269, 898, 779, 476, 1911, 260, 16817, 6954, 543, 666, 948, 18495, 269, 3399, 873, 593, 513, 2257, 1788, 547, 1491, 513, 17079, 267, 17178, 610, 6978, 689, 1472, 519, 2777, 543, 2119, 547, 1628, 1945, 602, 708, 527, 919, 930, 14909, 4183, 540, 922, 1272, 269, 1403, 789, 19292, 267, 2995, 873, 789, 666, 581, 1975, 573, 9007, 563, 22416, 904, 807, 5794, 6050, 729, 2907, 538, 2620, 2883, 8373, 607, 621, 9411, 476, 1001, 275, 543, 519, 18618, 32333, 540, 19426, 631, 295, 24907, 543, 631, 295, 1704, 1152, 1500, 1919, 8338, 7868, 29617, 1185, 4503, 1269, 288, 272, 269, 276, 5479, 2094, 476, 1001, 272, 543, 519, 26301, 4718, 922, 2530, 585, 519, 2034, 10116, 10678, 4873, 476, 1789, 540, 602, 12556, 995, 1032, 24073, 517, 547, 3592, 1269, 288, 1911, 2929, 607, 15915, 18423, 2476, 269, 901, 729, 519, 15795, 2786, 10116, 569, 2530, 585, 519, 29617, 855, 621, 729, 3592, 5595, 519, 2530, 585, 519, 7222, 10116, 538, 519, 3105, 1032, 7868, 3210, 540, 519, 14570, 1014, 2229, 729, 547, 556, 5991, 1049, 1047, 519, 29617, 543, 1847, 621, 883, 513, 1007, 2754, 2497, 20136, 4718, 1533, 24507, 10609, 1794, 534, 1695, 715, 553, 1308, 267, 799, 2907, 11262, 476, 7597, 269, 275, 829, 1298, 540, 519, 29617, 267, 2628, 1269, 288, 14596, 2929, 585, 519, 6967, 476, 1789, 269, 277, 829, 1298, 540, 519, 8843, 543, 632, 2000, 626, 621, 693, 519, 1439, 540, 476, 1001, 275, 6993, 1906, 3275, 2663, 267, 606, 23070, 729, 12912, 547, 936, 5408, 519, 4483, 540, 7221, 543, 20824, 689, 519, 4540, 2754, 547, 513, 1007, 6174, 267, 17111, 5794, 6050, 7137, 17495, 7868, 333, 8783, 10324, 2441, 2684, 16334, 11839, 849, 1305, 827, 1018, 646, 1572, 513, 968, 14551, 19268, 685, 685, 585, 606, 29617, 646, 1767, 1185, 1044, 20248, 22625, 16638, 513, 1964, 4450, 6010, 2989, 547, 2475, 3848, 476, 1556, 28153, 267, 519, 29617, 6035, 6009, 547, 1175, 476, 1691, 267, 1822, 540, 922, 476, 736, 267, 1822, 5234, 267, 4421, 5656 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1220, 278, 454, 15803, 281, 476, 27149, 274, 454, 27063, 281, 476, 6795, 692, 20132, 19560, 476, 6872, 280, 1496, 273, 316, 2073, 2016, 281, 476, 866, 692, 3725, 281, 20587, 559, 7726, 1109, 28784, 21529, 316, 476, 1109, 2767, 5463, 476, 1220, 280, 267, 476, 1321, 281, 7906, 454, 273, 454, 298, 11070, 5308, 454, 2304, 928, 20639, 2362, 982, 4010, 476, 1321, 540, 519, 476, 1839, 1053, 538, 1200, 1362, 269, 2701, 568, 538, 519, 32671, 30878, 269, 1548, 568, 562, 2496, 4692, 2576, 948, 803, 593, 875, 547, 1935, 30878, 2042, 780, 1321, 270, 1839, 815, 630, 1321, 343, 275, 19422, 1839, 343, 275, 264, 815, 476, 4366, 270, 1911, 1775, 4318, 269, 476, 4366, 628, 30878, 454, 6303, 29390, 10048, 4526, 454, 16274, 281, 476, 6021, 2904, 476, 1220, 280, 454, 15803, 281, 476, 1708, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 14695, 1496, 271, 3910, 2016, 281, 476, 1724, 692, 3725, 281, 20587, 559, 7726, 1109, 28784, 21529, 316, 476, 1109, 2918, 5463, 476, 1220, 280, 267, 476, 2641, 281, 6795, 454, 529, 621, 476, 2004, 628, 30878, 454, 6303, 318, 692, 29479, 568, 711, 513, 3014, 585, 17485, 619, 2073, 543, 519, 4090, 579, 6430, 547, 2408, 585, 621, 579, 616, 1100, 811, 513, 17485, 518, 5541, 3951, 306, 589, 645, 6938, 2562, 717, 28719, 692, 25938, 1640, 15440, 454, 16274, 281, 476, 1789, 4119, 476, 1220, 280, 454, 15803, 281, 476, 30525, 454, 19613, 281, 3127, 454, 3519, 1417, 1674, 281, 4937, 5004, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 9340, 1496, 271, 3910, 2016, 281, 476, 276, 692, 3725, 281, 20587, 559, 7726, 1109, 28784, 21529, 316, 476, 1109, 2918, 5463, 476, 1220, 280, 267, 476, 2420, 281, 4905, 454, 343, 322, 2224, 1889, 680, 345, 1220, 280, 5206, 912, 529, 621, 476, 2004, 628, 30878, 692, 16838, 1250, 1491, 568, 476, 2004, 628, 30878, 6236, 476, 1321, 15161, 723, 20639, 4010, 2362, 543, 476, 1321, 723, 20639, 2539, 982, 14732, 780, 287, 2398, 553, 611, 910, 29314, 543, 2707, 540, 2243, 726, 338, 454, 10048, 4526, 454, 16274, 281, 476, 2641, 7325, 476, 1220, 274, 454, 15803, 281, 476, 6924, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 1724, 1496, 271, 3910, 2016, 281, 476, 274, 692, 3725, 281, 20587, 559, 7726, 1109, 28784, 21529, 316, 476, 1109, 2767, 5463, 476, 1220, 280, 267, 476, 1015, 281, 1015, 454, 28557, 8382, 568, 476, 4366, 260, 543, 2707, 568, 918, 2908, 2023, 6092, 563, 3725, 281, 20587, 559, 7726, 5231, 1496, 258, 21529, 316, 476, 2767, 5463, 476, 1220, 280, 267, 476, 1015, 281, 1015, 454, 13436, 3584, 1234, 18680, 7831, 2022, 454, 13436, 454, 12749, 923, 912, 275, 4911, 11253, 779, 3446, 729, 538, 519, 476, 3445, 628, 30878, 856, 540, 476, 3199, 9344, 1775, 476, 275, 476, 2537, 4239, 476, 1220, 280, 267, 476, 1556, 281, 6872, 454, 272, 2549, 903, 3446, 729, 519, 476, 3445, 30878, 540, 519, 476, 3199, 9344, 585, 1200, 476, 277, 476, 1789, 3967, 476, 1220, 279, 267, 476, 1556, 281, 2537, 454, 288, 3240, 781, 3446, 729, 519, 476, 3445, 628, 30878, 540, 519, 476, 3199, 9344, 585, 1200, 476, 273, 476, 2537, 4239, 476, 1220, 278, 267, 476, 5400, 281, 2918, 454, 288, 3240, 781, 3446, 729, 476, 3445, 628, 30878, 540, 519, 476, 3199, 9344, 585, 1200, 476, 272, 476, 1015, 9947, 476, 1220, 277, 267, 476, 1556, 281, 6795, 454, 288, 3240, 781, 3446, 729, 519, 476, 3445, 628, 30878, 540, 519, 476, 3199, 9344, 585, 1200, 476, 273, 476, 2420, 9484, 476, 1220, 276, 267, 476, 736, 281, 7871, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 763, 31643, 3041, 568, 6462, 676, 519, 1082, 21464, 22881, 547, 519, 31643, 3041, 7690, 780, 670, 6493, 630, 294, 22901, 902, 689, 634, 2201, 6441, 710, 15610, 540, 6715, 518, 14938, 1878, 26695, 589, 27244, 14625, 28841, 540, 630, 272, 21147, 31618, 273, 21147, 19422, 272, 14870, 8203, 273, 269, 476, 273, 454, 476, 273, 267, 476, 278, 267, 476, 1724, 267, 476, 866, 267, 476, 1839, 267, 476, 4029, 267, 476, 4391, 267, 476, 6246, 267, 476, 5392, 267, 476, 4649, 267, 476, 8618, 267, 476, 6858, 267, 476, 10463, 267, 476, 8064, 267, 476, 5952, 267, 476, 11011, 267, 476, 9032, 267, 476, 9818, 267, 476, 11820, 267, 476, 12893, 267, 476, 13199, 267, 476, 14096, 267, 476, 15836, 267, 476, 16928, 267, 476, 13970, 267, 476, 14681, 267, 476, 14991, 267, 476, 14321, 267, 476, 15433, 267, 476, 11260, 267, 476, 8687, 267, 476, 6942, 267, 476, 4350, 267, 476, 1960, 267, 476, 13078, 267, 476, 21076, 267, 476, 24241, 267, 476, 23417, 267, 476, 26631, 267, 476, 20720, 267, 476, 25240, 267, 476, 26316, 267, 476, 26562, 267, 476, 28796, 267, 476, 25228, 267, 476, 27244, 267, 476, 28071, 267, 476, 27543, 267, 476, 29579, 267, 476, 27768, 267, 476, 22145, 267, 476, 28906, 267, 476, 27123, 267, 476, 29204, 267, 476, 23283, 630, 4289, 282, 3113, 282, 1201, 338, 282, 6432, 282, 1686, 282, 1257, 282, 4835, 3898, 994, 5508, 12396, 4953, 476, 271, 267, 272, 700, 2562, 16775, 2051, 514, 31661, 518, 267, 7305, 540, 562, 267, 513, 3799, 264, 585, 562, 815, 476, 271, 907, 1911, 271, 12039, 13366, 585, 5276, 9888, 18384, 609, 3586, 14170, 267, 15040, 630, 273, 16427, 272, 1040, 11123, 300, 308, 6369, 717, 8807, 12727, 630, 272, 21147, 31618, 273, 21147, 19422, 272, 14870, 8203, 273, 269, 513, 3799, 264, 815, 589, 17734, 10384, 3799, 8358, 277, 269, 513, 3799, 264, 815, 476, 277, 265, 333, 266, 272, 815, 589, 28318, 280, 2641, 3799, 264, 585, 562, 285, 271, 269, 513, 3799, 264, 815, 476, 273, 265, 320, 3799, 268, 272, 9984, 320, 3799, 268, 273, 264, 585, 562, 285, 273, 269, 661, 3052, 8807, 12727, 476, 272, 1341, 630, 272, 266, 277, 20080, 12684, 10339, 3287, 1040, 910, 717, 269, 595, 269, 13983, 889, 601, 267, 3057, 476, 4029, 476, 1001, 277, 3245, 19839, 334, 7137, 8688, 328, 543, 717, 269, 595, 269, 13983, 889, 601, 267, 3057, 476, 4029, 476, 1001, 277, 281, 630, 9359, 264, 513, 263, 276, 265, 332, 266, 272, 264, 815, 476, 1789, 265, 332, 1341, 476, 278, 815, 589, 15171, 23211, 9852, 266, 272, 1040, 513, 263, 276, 265, 332, 266, 273, 264, 815, 476, 1789, 265, 332, 1341, 476, 1724, 815, 589, 5400, 273, 3607, 280, 9852, 266, 272, 1040, 513, 263, 276, 265, 332, 266, 274, 264, 815, 476, 1789, 265, 332, 1341, 476, 866, 815, 589, 14444, 4391, 277, 9852, 1040, 513, 263, 276, 265, 332, 266, 275, 264, 815, 476, 1789, 265, 332, 1341, 476, 1839, 815, 476, 276, 265, 288, 28318, 280, 7597, 9852, 1040, 513, 263, 276, 265, 332, 266, 276, 264, 815, 476, 1789, 265, 332, 1341, 476, 4029, 815, 589, 12553, 30420, 9852, 266, 272, 1040, 630, 17484, 264, 513, 3799, 264, 815, 589, 1911, 278, 5038, 3799, 266, 274, 264, 585, 562, 13843, 476, 272, 269, 910, 9677, 674, 29531, 267, 4239, 476, 1789, 476, 1001, 279, 13878, 26154, 2316, 7563, 15012, 314, 346, 273, 9574, 12430, 13434, 584, 5270, 314, 346, 273, 267, 910, 272, 9574, 2715, 278, 267, 476, 1724, 9574, 476, 1911, 14963, 30916, 717, 269, 595, 269, 13983, 889, 601, 267, 3057, 476, 4029, 476, 1001, 277, 2608, 264, 11550, 294, 630, 303, 2752, 296, 264, 966, 1815, 9230, 272, 21147, 31618, 273, 21147, 19422, 272, 14870, 8203, 273, 1341, 744, 3287, 317, 3583, 4297, 595, 4629, 7704, 3918, 12396, 595, 325, 269, 589, 28318, 280, 2641, 267, 589, 17734, 10384, 269, 595, 325, 269, 589, 28318, 280, 7597, 267, 589, 5400, 273, 3607, 280, 267, 589, 1911, 278, 5038, 267, 589, 12553, 30420, 267, 589, 15171, 23211, 267, 589, 14444, 4391, 277, 269, 25627, 538, 2796, 281, 589, 22903, 277, 2537, 589, 11820, 31798, 589, 9610, 20862, 2608, 589, 15946, 5038, 277, 589, 14093, 4037, 276, 589, 23211, 4343, 274, 1520, 329, 8809, 9696, 281, 589, 27244, 9340, 589, 27244, 12208, 589, 27244, 13647, 2608, 589, 27244, 12893, 589, 27244, 14138, 589, 27244, 14056, 26395, 312, 310, 16704, 1875, 333, 267, 324, 6470, 27483, 295, 3036, 2051, 514, 31661, 518, 267, 3057, 476, 4029, 476, 1001, 277, 29865, 4785, 9516, 692, 16100, 1575, 1923, 8080, 1923, 26264, 1923, 19193, 1923, 8535, 1923, 18140, 476, 273, 1923, 5915, 657, 1923, 12039, 1923, 25873, 1923, 2859, 1923, 5680, 23173, 454, 6944, 25572, 1007, 694, 336, 269, 610, 6085, 1923, 14474, 1923, 13910, 16847, 1923, 3690, 13257, 1923, 8111, 572, 2131, 518, 1923, 5589, 757, 454, 763, 31643, 3041, 7991, 1923, 19321, 539, 676, 634, 31643, 3041, 7690, 5549, 780, 8310, 9168, 5181, 476, 1321, 476, 1556, 281, 5400, 29269, 476, 1708, 275, 269, 1230, 13935, 476, 23841, 25616, 9696, 269, 630, 305, 7342, 593, 522, 324, 529, 275, 4700, 0, 13043, 30360, 661, 706, 293, 7660, 568, 835, 540, 519, 1655, 2979, 3756, 593, 519, 5769, 2221, 269, 1411, 666, 1376, 4730, 585, 1863, 2439, 1012, 20274, 4569, 11621, 910, 476, 279, 628, 6103, 692, 13043, 30360, 20383, 547, 519, 20274, 4569, 11621, 585, 476, 279, 628, 6103, 269, 634, 4441, 2408, 2630, 2059, 609, 519, 4569, 30360, 3584, 602, 6474, 269, 1403, 596, 4945, 593, 513, 1888, 2012, 267, 596, 786, 1294, 3732, 2042, 693, 8795, 5232, 540, 7411, 602, 4569, 30360, 6383, 269, 1879, 1053, 946, 938, 1982, 267, 519, 7411, 540, 519, 2042, 786, 8850, 3082, 1759, 593, 1367, 2773, 267, 4611, 538, 711, 1152, 3020, 21630, 6044, 267, 855, 513, 4101, 3014, 6438, 1995, 780, 8698, 519, 20274, 4569, 11621, 693, 824, 2157, 780, 1012, 10789, 545, 25705, 692, 24092, 476, 272, 10789, 545, 25705, 281, 18963, 543, 17716, 910, 634, 2875, 786, 3113, 543, 4194, 5276, 4834, 543, 16526, 538, 1966, 6061, 3871, 563, 272, 269, 12307, 454, 320, 269, 7844, 267, 2328, 267, 543, 4194, 3818, 9912, 5276, 4834, 609, 835, 4756, 1210, 513, 3099, 540, 2409, 547, 4194, 3498, 2042, 269, 630, 30791, 12307, 2073, 17266, 24438, 12307, 476, 273, 2073, 17266, 24438, 12307, 476, 274, 2073, 10789, 545, 6478, 10819, 12467, 321, 269, 8641, 543, 4612, 519, 3070, 547, 835, 268, 543, 1079, 9912, 5276, 4834, 593, 513, 1297, 1899, 609, 835, 4756, 543, 593, 513, 11282, 7077, 609, 1079, 4632, 269, 630, 23005, 1456, 32437, 12467, 322, 269, 21023, 519, 1198, 593, 519, 3113, 540, 513, 5276, 3830, 950, 519, 9386, 610, 586, 25435, 2242, 630, 324, 3052, 1421, 1118, 11236, 689, 11708, 267, 2697, 519, 9386, 610, 586, 25435, 538, 519, 3830, 586, 815, 544, 343, 1341, 536, 543, 9305, 547, 513, 3113, 1040, 630, 20877, 338, 547, 12430, 12307, 12467, 323, 269, 15233, 3617, 12596, 547, 4194, 2042, 630, 324, 3052, 1421, 546, 284, 4135, 267, 594, 284, 1440, 339, 1040, 630, 26594, 9314, 2073, 3281, 895, 9314, 2073, 20028, 267, 15580, 267, 543, 5384, 12467, 273, 269, 21153, 8017, 281, 7844, 267, 2328, 267, 4194, 267, 543, 3113, 835, 268, 543, 1079, 9912, 5276, 16526, 609, 835, 4756, 269, 630, 306, 17532, 24438, 21153, 8017, 2073, 7089, 7412, 21153, 8017, 25589, 1012, 7089, 23281, 543, 15051, 692, 24092, 476, 273, 7089, 23281, 543, 20491, 910, 634, 2875, 786, 946, 2338, 543, 1297, 3347, 547, 4194, 513, 3099, 540, 2042, 563, 272, 269, 7089, 23281, 281, 11724, 543, 4612, 1804, 2338, 543, 2338, 1447, 982, 835, 538, 12825, 543, 3621, 10035, 269, 630, 26199, 3502, 566, 12467, 273, 269, 7089, 15051, 454, 320, 269, 2422, 519, 3652, 540, 23055, 267, 1519, 8870, 23055, 267, 547, 4194, 2042, 630, 324, 3052, 1421, 476, 7761, 5788, 476, 10463, 284, 476, 4037, 476, 274, 268, 1015, 6440, 476, 4343, 815, 476, 274, 268, 273, 1040, 630, 22091, 7859, 2986, 26271, 531, 645, 1162, 2073, 20134, 5890, 7859, 2986, 26271, 531, 645, 1162, 2073, 5564, 28745, 543, 29435, 532, 5890, 9426, 25285, 2073, 5890, 9426, 16390, 1280, 17773, 12467, 321, 269, 16534, 2042, 1210, 3621, 10035, 269, 630, 26199, 3502, 566, 476, 273, 12467, 322, 269, 22217, 1518, 10230, 7215, 609, 7787, 2338, 267, 23055, 267, 543, 24324, 1210, 1931, 540, 4238, 269, 630, 8794, 9977, 12330, 2073, 11352, 2986, 15051, 2073, 5890, 7859, 2986, 26271, 531, 645, 1162, 2073, 20134, 5890, 7859, 2986, 26271, 531, 645, 1162, 2073, 5890, 9426, 16390, 1280, 17773, 25589 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 763, 4214, 540, 834, 3528, 345, 14932, 257, 568, 6508, 689, 519, 2012, 540, 519, 3854, 540, 519, 10504, 269, 6736, 519, 1249, 602, 519, 3854, 729, 13166, 1572, 1715, 7507, 267, 543, 2663, 910, 31862, 267, 2687, 547, 3824, 11712, 4356, 267, 519, 11317, 540, 519, 2749, 1031, 922, 3504, 5259, 2012, 910, 18031, 656, 1756, 563, 5475, 519, 15652, 540, 519, 4936, 7276, 538, 4571, 268, 4375, 276, 267, 519, 7262, 851, 729, 10375, 569, 630, 8117, 796, 334, 1553, 6053, 264, 1572, 519, 31928, 704, 1014, 7276, 630, 5228, 519, 3504, 19621, 4214, 540, 834, 13523, 3338, 19823, 543, 519, 9456, 851, 609, 519, 3854, 538, 31862, 1031, 519, 18781, 834, 3528, 345, 14932, 257, 630, 773, 834, 3528, 345, 14932, 257, 713, 2262, 729, 1031, 267, 538, 1880, 267, 676, 519, 12206, 540, 519, 942, 267, 2398, 7416, 543, 5689, 577, 269, 2311, 519, 1482, 942, 267, 519, 8109, 4936, 7276, 729, 711, 2808, 513, 5094, 1533, 543, 729, 13166, 1572, 7354, 9850, 7377, 15252, 4302, 4936, 639, 563, 4415, 519, 2887, 540, 31928, 704, 807, 538, 476, 5325, 277, 267, 519, 2140, 540, 17169, 729, 3622, 17477, 1152, 676, 519, 17710, 540, 31862, 269, 4935, 267, 519, 991, 1256, 585, 519, 13016, 946, 540, 513, 5094, 2165, 547, 20301, 741, 1533, 814, 20374, 269, 634, 10504, 729, 1934, 2088, 1123, 5219, 547, 3274, 607, 4936, 610, 4936, 269, 634, 18781, 834, 3528, 345, 14932, 257, 4797, 547, 581, 1031, 910, 621, 568, 1336, 267, 538, 1880, 267, 538, 519, 12591, 540, 24686, 1105, 7353, 3780, 543, 538, 519, 7040, 910, 855, 1419, 607, 513, 28395, 585, 519, 2262, 834, 17746, 656, 514, 963, 8487, 763, 4408, 4168, 543, 5259, 25267, 616, 849, 1031, 538, 6196, 6739, 543, 6196, 23577, 545, 12225, 2873, 563, 763, 2012, 834, 3528, 345, 14932, 7276, 257, 568, 538, 3621, 946, 0, 3918, 21585, 281, 2311, 2547, 476, 15946, 2477, 723, 3323, 547, 3945, 3729, 741, 1004, 1996, 5046, 268, 866, 267, 609, 16266, 4867, 3001, 693, 519, 16595, 10605, 829, 21027, 1851, 2477, 609, 5095, 540, 693, 2547, 476, 272, 2929, 1004, 563, 763, 3162, 1977, 2197, 814, 13950, 513, 3232, 3328, 540, 476, 272, 267, 26482, 13066, 829, 476, 1911, 267, 1822, 1004, 538, 519, 2250, 5722, 2395, 267, 2687, 547, 513, 1234, 26407, 2079, 540, 12674, 1239, 6394, 676, 519, 2160, 540, 10228, 781, 3776, 2622, 538, 4578, 563, 23744, 267, 21950, 543, 811, 2919, 2477, 723, 1732, 1569, 547, 10074, 607, 789, 723, 811, 3608, 1072, 1416, 5989, 547, 5478, 267, 10536, 543, 17982, 13066, 563, 10666, 476, 7830, 829, 1298, 540, 1004, 945, 723, 4607, 693, 2547, 835, 9570, 540, 513, 6669, 941, 689, 1164, 4747, 2477, 543, 693, 2547, 476, 2568, 829, 1298, 941, 689, 2342, 543, 3345, 3013, 267, 2687, 547, 519, 1234, 26407, 2079, 540, 519, 1239, 269, 1401, 7672, 689, 519, 9819, 616, 2477, 602, 1152, 1867, 2698, 13066, 1510, 28408, 519, 1297, 540, 1004, 18764, 563, 7197, 5046, 268, 866, 10074, 2154, 1079, 13066, 267, 971, 607, 519, 3283, 2919, 676, 8330, 571, 313, 523, 29132, 267, 7073, 320, 543, 26172, 6500, 1315, 12713, 301, 27700, 269, 634, 6669, 2919, 676, 9652, 1299, 9652, 3340, 1152, 835, 9570, 269, 0, 763, 29375, 296, 1315, 594, 273, 290, 630, 296, 26690, 4211, 264, 7014, 729, 11827, 676, 5845, 2354, 269, 769, 29375, 296, 519, 17626, 1239, 6771, 568, 2944, 538, 607, 2106, 28942, 7154, 269, 901, 7014, 3096, 1152, 1079, 12904, 585, 14379, 1063, 1079, 610, 811, 594, 12336, 269, 634, 1079, 19915, 27399, 1930, 8963, 3515, 3957, 590, 6395, 630, 32513, 658, 4578, 264, 543, 590, 12710, 630, 32513, 658, 1849, 1442, 264, 609, 7485, 909, 27856, 616, 1031, 585, 1239, 4483, 1063, 3457, 563, 3080, 540, 519, 1079, 3457, 267, 799, 8060, 519, 2898, 1184, 267, 568, 1634, 607, 9457, 543, 519, 824, 799, 20781, 547, 519, 14511, 540, 4487, 568, 1634, 607, 32013, 3926, 269, 634, 8028, 298, 630, 871, 852, 1578, 618, 264, 5365, 568, 2366, 22812, 18727, 689, 1312, 519, 5011, 1310, 1169, 4483, 543, 8754, 6971, 519, 5470, 269, 590, 12710, 568, 519, 9219, 1899, 1668, 1031, 585, 15222, 1436, 543, 568, 6417, 676, 519, 4487, 269, 590, 6395, 568, 1634, 607, 519, 1239, 4483, 1668, 563, 296, 273, 290, 20081, 310, 296, 568, 513, 3368, 5918, 14658, 17626, 6771, 543, 8754, 519, 1239, 2095, 666, 581, 538, 513, 4287, 693, 513, 942, 269, 634, 1239, 4483, 2557, 5673, 593, 12627, 4908, 540, 10553, 17120, 269, 634, 2557, 540, 1239, 4483, 4016, 547, 9219, 4908, 593, 590, 12710, 1668, 799, 1590, 581, 476, 272, 270, 1626, 628, 454, 293, 6150, 7201, 281, 1548, 1772, 0, 13436, 640, 540, 12730, 1341, 5086, 910, 2259, 2042, 454, 10831, 540, 2042, 1336, 281, 476, 5655, 454, 16248, 2798, 616, 2016, 281, 589, 11196, 274, 267, 476, 272, 1070, 645, 630, 273, 267, 910, 275, 1070, 595, 630, 274, 267, 476, 274, 264, 513, 264, 4855, 519, 15943, 540, 6906, 13235, 269, 536, 264, 32341, 1018, 1826, 540, 6906, 519, 6906, 13235, 568, 269, 524, 264, 4855, 519, 3259, 540, 519, 27485, 5858, 454, 268, 634, 959, 15635, 730, 454, 763, 959, 15635, 730, 15914, 13409, 814, 13279, 609, 2234, 4512, 678, 272, 815, 476, 279, 4699, 267, 678, 273, 815, 476, 275, 4699, 543, 4463, 642, 815, 476, 276, 4699, 269, 1548, 568, 519, 4320, 540, 519, 13409, 689, 799, 519, 959, 15635, 730, 13409, 12090, 888, 268, 18975, 781, 2070, 454, 5804, 519, 5939, 13486, 781, 2070, 693, 519, 4463, 540, 476, 4792, 544, 267, 519, 1283, 540, 519, 2777, 666, 581, 2938, 693, 513, 3178, 5086, 540, 13672, 815, 476, 3393, 4113, 543, 922, 5377, 693, 513, 3178, 5086, 540, 12498, 815, 476, 6812, 4113, 269, 12433, 519, 4463, 540, 519, 2777, 543, 922, 3845, 689, 519, 5939, 563, 268, 17834, 2098, 278, 1700, 296, 1700, 277, 476, 1708, 272, 454, 1103, 519, 6906, 13235, 267, 1448, 667, 6013, 593, 519, 8028, 2427, 543, 1448, 661, 593, 519, 7460, 2427, 269, 634, 7306, 540, 519, 7285, 9474, 291, 267, 645, 20067, 267, 11404, 292, 543, 14055, 616, 476, 1789, 4113, 267, 476, 2568, 4113, 267, 476, 736, 4113, 543, 476, 1789, 4113, 267, 6606, 269, 4855, 519, 2450, 540, 519, 589, 3633, 5086, 563, 268, 20028, 540, 2798, 454, 288, 2834, 29105, 18158, 13235, 291, 309, 568, 2016, 267, 538, 799, 6316, 9474, 815, 513, 815, 476, 275, 4699, 543, 4463, 642, 815, 476, 279, 4699, 269, 2913, 590, 581, 519, 4099, 540, 519, 22008, 269, 4855, 519, 3845, 540, 2798, 589, 543, 590, 563, 268, 769, 743, 1441, 7077, 454, 763, 1560, 13978, 593, 606, 20916, 7077, 543, 11851, 338, 513, 735, 4809, 3196, 540, 476, 3583, 301, 593, 621, 269, 4855, 519, 5086, 1063, 519, 20916, 7077, 543, 519, 8880, 952, 513, 14965, 3196, 540, 476, 1911, 301, 6411, 593, 519, 1560, 563, 268, 634, 12730, 454, 763, 12730, 13235, 543, 589, 262, 289, 262, 290, 1412, 732, 2147, 609, 513, 16726, 11664, 540, 476, 273, 269, 634, 7285, 540, 519, 6906, 13235, 616, 13672, 815, 476, 3374, 4113, 267, 12498, 815, 476, 4366, 4113, 269, 14419, 519, 3172, 6421, 540, 782, 7285, 540, 6906, 589, 262, 289, 262, 290, 1412, 563, 268, 1323, 20626, 454, 2304, 20626, 7555, 7178, 540, 519, 13486, 12034, 922, 1283, 693, 606, 15820, 5086, 540, 476, 3393, 5232, 269, 2991, 3001, 476, 2004, 7397, 547, 519, 5045, 267, 646, 12034, 922, 1283, 693, 606, 15820, 5086, 540, 476, 1789, 5232, 269, 1215, 7381, 568, 519, 13486, 888, 268, 634, 14692, 454, 763, 14692, 540, 513, 476, 272, 544, 1164, 15393, 16207, 593, 513, 8880, 7077, 568, 476, 271, 269, 279, 544, 1279, 269, 2311, 519, 1482, 942, 267, 519, 14692, 540, 513, 3529, 16207, 593, 513, 8880, 7077, 568, 476, 277, 269, 275, 544, 269, 14419, 519, 4463, 540, 519, 3529, 563, 268, 634, 16403, 2284, 454, 763, 16403, 2284, 5641, 338, 513, 14692, 476, 3393, 7397, 1279, 269, 634, 835, 2173, 2678, 17489, 11425, 7555, 13902, 547, 519, 2666, 814, 513, 14692, 476, 3445, 4699, 1279, 269, 12433, 519, 4463, 540, 519, 16403, 2284, 563, 11321, 4897, 630, 4812, 808, 264, 6013, 538, 519, 6371, 543, 12034, 519, 1283, 540, 519, 17895, 630, 4812, 570, 264, 543, 3297, 621, 519, 1283, 540, 519, 561, 30224, 630, 303, 1040, 1923, 570, 307, 1412, 347, 815, 476, 272, 269, 273, 332, 267, 1923, 26076, 1412, 347, 815, 476, 3607, 332, 267, 1923, 808, 307, 1412, 347, 815, 476, 276, 332, 269, 3057, 4897, 6013, 476, 1428, 7397, 2476, 689, 519, 4262, 630, 300, 1040, 12433, 519, 561, 30224, 3845, 689, 519, 4262, 454, 268, 3004, 19649, 1756, 32377, 454, 2005, 568, 2016, 25671, 1756, 13235, 291, 609, 13279, 1923, 9474, 1923, 815, 476, 1321, 4699, 267, 1923, 7374, 347, 815, 476, 279, 4699, 269, 8672, 590, 568, 519, 10167, 540, 519, 32377, 585, 799, 1923, 3008, 347, 568, 476, 277, 4699, 1279, 269, 12433, 519, 3259, 540, 519, 2407, 15497, 8028, 563, 268, 4144, 6782, 1023, 693, 1318, 5086, 454, 1103, 519, 25671, 1355, 13235, 291, 267, 713, 568, 2016, 281, 9474, 284, 1321, 9492, 7131, 284, 275, 9492, 1656, 32377, 18084, 896, 513, 1318, 5086, 269, 1548, 568, 519, 1858, 540, 713, 25671, 1355, 13235, 291, 888, 268, 631, 770, 14692, 454, 300, 770, 814, 476, 1724, 544, 1279, 14692, 593, 513, 9386, 8375, 689, 519, 15958, 3723, 538, 519, 4287, 540, 519, 14692, 5086, 693, 5086, 476, 1428, 4113, 269, 14419, 519, 4463, 540, 519, 15958, 267, 952, 519, 3141, 1657, 519, 16880, 568, 693, 5086, 476, 3451, 4113, 269, 2422, 519, 1876, 540, 521, 1149, 563, 268, 25351, 9771, 25671, 1355, 454, 763, 13235, 291, 14328, 25671, 1355, 609, 519, 9474, 543, 7131, 13279, 568, 5258, 676, 519, 15497, 8028, 883, 1079, 31164, 14328, 12730, 269, 634, 3259, 540, 519, 15497, 8028, 568, 476, 7830, 9492, 269, 12433, 25671, 1756, 1858, 538, 4699, 4009, 543, 5173, 875, 1082, 15320, 829, 12281, 540, 519, 454, 288, 11281, 15393, 13902, 547, 519, 2666, 25001, 513, 14692, 540, 476, 2412, 4699, 1279, 267, 519, 2777, 25001, 513, 14692, 476, 277, 7397, 1279, 269, 1548, 568, 519, 4463, 540, 519, 2777, 888, 268, 5565, 7285, 454, 763, 12730, 13235, 543, 589, 262, 289, 262, 290, 1412, 732, 2147, 269, 769, 519, 13235, 6906, 267, 519, 1079, 7285, 616, 476, 1839, 4113, 543, 476, 4792, 4113, 269, 11512, 1946, 538, 519, 6906, 589, 262, 289, 262, 290, 1412, 529, 519, 2040, 540, 1079, 7285, 540, 476, 3445, 5232, 563, 268, 9351, 540, 568, 334, 2389, 1905, 454, 8340, 519, 1858, 540, 606, 568, 30801, 25671, 1355, 952, 519, 13080, 540, 922, 13279, 616, 476, 1626, 4699, 543, 476, 1789, 4699, 267, 543, 519, 32377, 616, 13902, 547, 1142, 824, 563, 268, 589, 7911, 454, 288, 7911, 540, 4463, 476, 272, 269, 278, 332, 568, 7555, 476, 1789, 332, 2476, 689, 519, 9206, 560, 3530, 593, 519, 1482, 1377, 2666, 269, 1261, 32625, 602, 519, 5086, 540, 11539, 540, 519, 1283, 540, 9206, 560, 3530, 568, 476, 1789, 5232, 269, 12433, 519, 4463, 540, 9206, 560, 3530, 563, 268, 1744, 20760, 540, 3529, 454, 300, 10098, 6763, 896, 513, 3529, 543, 8384, 922, 14692, 543, 14692, 540, 519, 3529, 269, 631, 10098, 568, 476, 5197, 4699, 7381, 543, 922, 12094, 568, 476, 272, 269, 276, 544, 1279, 269, 634, 14692, 540, 519, 3529, 568, 1614, 2053, 607, 1279, 607, 631, 10098, 781, 14692, 269, 1215, 7381, 568, 519, 3529, 538, 7397, 888, 8450, 849, 938, 25066, 6906, 9498, 269, 5381, 640, 540, 12730, 910, 2259, 2042, 269, 24234, 2259, 2042, 269, 0, 297, 9391, 13752, 9886, 547, 11177, 31403, 267, 948, 5521, 25199, 543, 16313, 17984, 454, 297, 15121, 301, 4306, 2177, 267, 594, 320, 269, 630, 13356, 269, 476, 3066, 267, 476, 1708, 272, 264, 2443, 3627, 8725, 4400, 3427, 568, 1851, 476, 1321, 29268, 1164, 3506, 13752, 1269, 272, 267, 1822, 3542, 13541, 7226, 14828, 689, 519, 9995, 6019, 7690, 267, 799, 786, 581, 1031, 4724, 19620, 519, 31403, 1175, 22236, 540, 519, 1164, 1153, 563, 298, 2643, 320, 31293, 267, 945, 11414, 7350, 267, 18186, 1108, 543, 6673, 2825, 2257, 693, 3627, 8725, 4400, 267, 814, 585, 519, 2250, 5722, 1296, 3366, 519, 30482, 4804, 5113, 1788 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9281, 29052, 7728, 11550, 16165, 4456, 300, 5058, 24315, 4696, 5456, 5960, 454, 29045, 4658, 13242, 454, 15221, 4658, 13242, 454, 13078, 4658, 13242, 454, 28143, 4658, 13242, 454, 275, 4375, 4658, 13242, 454, 19054, 4658, 13242, 454, 10463, 4658, 13242, 454, 19442, 4658, 13242, 454, 26631, 4658, 13242, 454, 288, 17496, 585, 4400, 10955, 281, 476, 279, 15306, 12367, 1744, 14823, 519, 21537, 10176, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 2026, 814, 5949, 609, 3592, 782, 2127, 540, 938, 1272, 267, 2029, 3357, 547, 1689, 11014, 267, 849, 2069, 269, 9861, 835, 540, 519, 1034, 14461, 6080, 538, 2486, 267, 621, 568, 711, 7357, 2653, 585, 519, 2242, 602, 616, 2921, 1747, 547, 1491, 3337, 538, 519, 2110, 610, 5420, 2165, 563, 22860, 9455, 3127, 18225, 454, 9928, 582, 328, 629, 1678, 28132, 16898, 22878, 16635, 18270, 919, 476, 1839, 13012, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 763, 476, 1839, 628, 16683, 7160, 540, 519, 13037, 6212, 593, 5691, 5752, 543, 20827, 1148, 3785, 693, 1857, 5624, 2066, 519, 2749, 563, 7468, 514, 3321, 540, 14691, 19932, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 5425, 5746, 476, 22446, 271, 2090, 1374, 3741, 543, 26336, 540, 5752, 4654, 269, 7756, 26336, 540, 4654, 5330, 547, 3982, 2081, 540, 3206, 827, 1966, 6061, 269, 1280, 1383, 267, 6198, 4654, 630, 7945, 607, 670, 2532, 749, 264, 1445, 3007, 593, 519, 4429, 289, 578, 1684, 514, 21069, 645, 8986, 454, 10574, 13378, 281, 3220, 269, 595, 3559, 548, 22918, 655, 2335, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 1607, 568, 875, 3220, 269, 595, 3559, 548, 22918, 655, 2335, 6257, 1200, 960, 609, 16175, 2139, 8331, 3047, 11287, 1239, 1210, 1930, 2707, 3301, 269, 22918, 655, 2335, 267, 513, 2168, 5836, 19212, 543, 519, 1930, 2257, 1291, 585, 8331, 781, 3047, 3163, 4578, 7010, 630, 2464, 9169, 264, 5358, 2676, 17698, 476, 275, 4792, 270, 276, 4792, 22414, 14691, 19932, 630, 274, 17099, 264, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 272, 269, 272, 281, 10576, 693, 2547, 835, 23243, 8984, 585, 1142, 540, 519, 5752, 26336, 281, 27564, 267, 1843, 15129, 267, 6198, 267, 3616, 541, 894, 270, 8421, 545, 2073, 543, 7097, 532, 4654, 269, 476, 272, 269, 273, 281, 21414, 519, 4123, 26160, 1063, 519, 1114, 26336, 267, 6236, 4429, 9596, 23398, 1234, 5562, 14691, 2201, 2659, 20798, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 11039, 267, 1256, 952, 596, 1810, 1405, 899, 621, 267, 596, 1058, 798, 621, 19037, 267, 1317, 3206, 827, 2042, 689, 1114, 5380, 3267, 21744, 909, 519, 5752, 17565, 585, 20798, 568, 606, 16529, 1788, 4429, 1432, 568, 12229, 5937, 18249, 19554, 286, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 763, 1523, 540, 3301, 20452, 8631, 568, 4742, 5051, 2442, 609, 3301, 20452, 6517, 543, 3301, 20452, 13033, 1818, 519, 3377, 563, 257, 14187, 8943, 26671, 898, 1345, 257, 1656, 4033, 23664, 13895, 808, 10280, 1411, 9701, 333, 1405, 15681, 23126, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 2252, 596, 4941, 547, 2995, 2984, 267, 596, 1131, 723, 6074, 513, 1114, 2619, 538, 1272, 269, 901, 19385, 766, 814, 1256, 4646, 2898, 1007, 26336, 543, 3267, 519, 28919, 540, 519, 5752, 1893, 3294, 563, 300, 19318, 1565, 676, 5542, 538, 3308, 2324, 3965, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 300, 19318, 9542, 15387, 3350, 6111, 936, 519, 10715, 269, 590, 3147, 19631, 3750, 5322, 723, 1044, 1031, 6707, 547, 1353, 519, 6127, 543, 8849, 4493, 540, 9542, 269, 4635, 2623, 958, 13061, 9072, 2676, 763, 5071, 667, 10308, 2742, 281, 5564, 760, 549, 22422, 4635, 5564, 760, 549, 25600, 543, 5564, 603, 15105, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 763, 1483, 1689, 1631, 7133, 519, 11251, 2344, 568, 602, 519, 3498, 3301, 568, 849, 1373, 4280, 547, 2070, 519, 2489, 3483, 16267, 3693, 1210, 513, 6687, 549, 22422, 17565, 865, 602, 3267, 711, 1847, 547, 1022, 32753, 1114, 6189, 563, 290, 258, 262, 338, 23398, 17714, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 8489, 621, 729, 1360, 1454, 827, 9363, 1369, 519, 1843, 15129, 17565, 3267, 2368, 540, 519, 4555, 649, 723, 538, 1114, 8846, 1373, 6273, 676, 6198, 5752, 267, 1519, 998, 4429, 25413, 2264, 2029, 3358, 547, 519, 9757, 6389, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 288, 2603, 540, 3301, 1869, 3096, 519, 1482, 2035, 543, 26336, 607, 476, 2412, 1296, 3516, 543, 2934, 3810, 2930, 5752, 4654, 3267, 972, 616, 1114, 2798, 538, 3301, 1646, 281, 634, 4429, 3725, 19960, 1456, 519, 8433, 5113, 585, 28628, 4518, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 4913, 267, 519, 5046, 268, 866, 6855, 814, 8810, 513, 2101, 18463, 585, 1689, 267, 10511, 23550, 513, 7372, 17565, 6521, 538, 875, 3267, 593, 2230, 13345, 269, 1879, 5752, 513, 2679, 781, 1604, 4429, 291, 1090, 1738, 15448, 10753, 4040, 3683, 932, 760, 5071, 543, 19007, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 15368, 1227, 267, 519, 4540, 5071, 585, 19007, 17565, 786, 991, 547, 3082, 3533, 547, 1450, 930, 32753, 1114, 3255, 547, 4163, 3267, 3684, 1565, 3340, 513, 4123, 1055, 1063, 5752, 6988, 585, 2866, 269, 10251, 267, 609, 2221, 4429, 763, 2160, 543, 519, 3059, 7004, 281, 2250, 267, 1459, 543, 2104, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 763, 2622, 9483, 17072, 1572, 519, 6855, 513, 834, 1706, 611, 10176, 6521, 257, 585, 12621, 543, 9945, 3267, 834, 2171, 723, 267, 594, 1589, 267, 3592, 476, 1428, 2929, 18934, 906, 689, 6267, 540, 936, 476, 1220, 1114, 2477, 602, 4497, 609, 938, 1565, 2833, 2437, 262, 14863, 1372, 4429, 763, 12309, 11545, 454, 23430, 540, 8950, 3163, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 763, 2780, 2257, 1982, 2488, 1053, 609, 513, 3376, 543, 2620, 5748, 538, 3069, 543, 2413, 3301, 543, 8800, 2035, 607, 1134, 607, 12857, 1053, 547, 3875, 5752, 4654, 543, 26336, 3267, 547, 960, 538, 1082, 1114, 2010, 540, 4429, 305, 28970, 3122, 4659, 540, 5303, 454, 19102, 2084, 7746, 1652, 7207, 616, 11319, 6189, 547, 2344, 15657, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 24679, 781, 513, 1114, 17565, 269, 2060, 513, 7746, 1652, 3252, 23829, 8584, 28129, 630, 293, 30962, 264, 5356, 267, 9367, 666, 2328, 3009, 1210, 741, 5172, 5752, 1893, 267, 11766, 543, 2196, 621, 1510, 2348, 547, 4429, 18131, 3401, 281, 1762, 2021, 1058, 29311, 789, 723, 942, 547, 1118, 1434, 5079, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 263, 2005, 781, 827, 875, 264, 938, 4978, 543, 519, 1919, 649, 2995, 6000, 3330, 938, 2212, 1831, 938, 17565, 3267, 979, 543, 798, 513, 5752, 1576, 267, 979, 543, 1451, 875, 547, 3009, 269, 898, 781, 711, 602, 596, 723, 547, 4429, 2414, 24344, 513, 12655, 8892, 585, 1546, 22380, 267, 1284, 10261, 547, 6733, 15332, 21578, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 4407, 713, 1374, 17565, 949, 3100, 3730, 585, 513, 3099, 540, 1114, 3156, 3267, 11731, 593, 21578, 616, 2854, 538, 513, 1164, 1377, 5752, 1893, 971, 607, 3752, 7190, 267, 1480, 6959, 4429, 6701, 12829, 29530, 8750, 338, 634, 8892, 286, 1923, 631, 293, 4856, 1676, 1923, 31368, 6195, 570, 341, 1240, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 290, 301, 6195, 6874, 309, 1240, 814, 1044, 7683, 3048, 908, 609, 1007, 11964, 540, 5752, 602, 2337, 1118, 1870, 811, 4143, 547, 1114, 14218, 4293, 2066, 3127, 269, 3127, 781, 1034, 2111, 1870, 5304, 4429, 305, 1168, 3876, 519, 16390, 538, 519, 3427, 2986, 23539, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 13640, 611, 10176, 6879, 14823, 8906, 616, 1906, 543, 3267, 4437, 5505, 1185, 5156, 602, 1152, 2182, 2914, 1600, 4719, 5752, 1223, 9380, 971, 5730, 5547, 787, 1354, 4332, 269, 590, 1002, 345, 3079, 1336, 602, 519, 4429, 16256, 8648, 7046, 4149, 1830, 5741, 540, 519, 10432, 281, 918, 889, 1168, 31678, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 298, 889, 1168, 31678, 568, 513, 1007, 1930, 21299, 3609, 2599, 17935, 547, 14458, 519, 10073, 540, 3609, 23829, 2275, 1712, 269, 898, 2488, 513, 1305, 540, 918, 21310, 6339, 525, 11426, 8249, 602, 2306, 519, 11268, 540, 4507, 538, 513, 12440, 4443, 563, 290, 4669, 529, 4223, 1127, 15618, 11088, 538, 2052, 10109, 529, 3163, 543, 5303, 18225, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 290, 4669, 529, 4223, 1127, 15278, 814, 3370, 1776, 2376, 538, 519, 9263, 24595, 2930, 4760, 2052, 10109, 529, 3163, 543, 5303, 267, 8720, 519, 2825, 6286, 540, 1648, 4616, 538, 15267, 14713, 563, 3963, 5617, 784, 532, 1772, 634, 1715, 21436, 700, 5819, 1399, 1656, 8422, 18467, 1677, 4980, 10675, 898, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 4263, 519, 4295, 267, 14237, 10362, 568, 827, 8220, 609, 4143, 2950, 693, 519, 2146, 1377, 2864, 982, 519, 1367, 1377, 547, 5397, 2110, 268, 543, 1279, 3856, 6725, 1764, 543, 1871, 563, 19723, 659, 1712, 4056, 1291, 281, 11149, 666, 581, 15777, 267, 855, 9367, 1869, 991, 6632, 530, 6346, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 15371, 621, 781, 513, 1007, 5752, 1893, 267, 513, 1007, 1949, 1604, 267, 610, 513, 1007, 17565, 899, 8708, 3267, 29597, 619, 616, 513, 1114, 1259, 540, 3206, 827, 875, 649, 1020, 3301, 563, 4263, 558, 1227, 8325, 8818, 13087, 16600, 14683, 18286, 1875, 19581, 8684, 3965, 3457, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 4263, 558, 1227, 8325, 17103, 538, 8709, 3541, 20613, 1023, 10636, 739, 23461, 5512, 519, 20185, 540, 16600, 9724, 1875, 19581, 8684, 3965, 3457, 563, 763, 1480, 25700, 30596, 540, 519, 22946, 13933, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 11514, 7539, 949, 711, 2141, 581, 812, 13402, 267, 855, 789, 616, 2141, 15527, 547, 676, 3425, 269, 1703, 781, 513, 2898, 3443, 641, 569, 540, 1983, 543, 22825, 2838, 2221, 547, 4431, 547, 1256, 519, 17646, 5006, 6595, 267, 543, 602, 3085, 1405, 1256, 1331, 519, 2115, 1282, 840, 16162, 2120, 4058, 543, 2022, 16162, 2120, 6051, 563, 20524, 543, 11654, 1007, 20030, 281, 6129, 11619, 1137, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 3719, 1287, 594, 5887, 3293, 547, 5842, 551, 4231, 593, 5682, 693, 476, 4350, 277, 3162, 5682, 10003, 267, 543, 1250, 17565, 585, 1018, 27648, 3267, 513, 10093, 585, 11639, 269, 14691, 568, 6035, 593, 513, 3099, 540, 3584, 267, 1519, 4429, 6701, 2228, 5232, 15197, 888, 2026, 811, 543, 811, 11967, 3506, 2709, 2228, 4110, 3292, 267, 2463, 5170, 547, 1332, 269, 3267, 4340, 547, 513, 5619, 267, 476, 10695, 2600, 540, 26933, 2161, 602, 606, 2228, 4110, 568, 607, 23674, 607, 835, 12236, 998, 513, 2757, 13464, 2861, 1982, 563, 4692, 594, 1353, 851, 942, 888, 29973, 569, 267, 851, 6066, 1353, 3322, 10825, 513, 2407, 6066, 2022, 12392, 1576, 936, 513, 3476, 1974, 540, 942, 269, 898, 781, 2356, 3358, 585, 1346, 945, 1616, 547, 3136, 2324, 1247, 4974, 267, 543, 2356, 3322, 22867, 606, 12784, 610, 606, 10543, 1142, 3018, 547, 7390, 5049, 610, 15872, 563, 1432, 1983, 616, 2877, 585, 2228, 1565, 888, 2791, 991, 547, 723, 513, 2596, 1702, 540, 2780, 543, 5769, 1983, 538, 1931, 547, 581, 3811, 538, 606, 2228, 1576, 454, 3674, 2228, 1353, 1434, 610, 3983, 888, 15697, 18375, 568, 513, 1434, 4781, 952, 596, 798, 1434, 942, 2359, 543, 1246, 513, 1134, 5423, 942, 3349, 269, 6333, 621, 607, 513, 1390, 4316, 547, 1451, 811, 543, 1451, 1732, 256, 1306, 649, 782, 917, 4430, 540, 3388, 568, 3983, 269, 18421, 814, 513, 3970, 952, 579, 3257, 621, 538, 3608, 543, 2500, 6073, 269, 0, 347, 2414, 4194, 519, 2479, 2987, 920, 2084, 2825, 10898, 2429, 519, 1158, 267, 519, 1655, 1259, 568, 547, 2333, 519, 3902, 540, 4492, 269, 1548, 568, 707, 6644, 593, 519, 1657, 13429, 286, 2008, 20245, 610, 2067, 10898, 616, 519, 1267, 540, 2168, 3157, 602, 1860, 3425, 1169, 1554, 269, 1306, 519, 946, 540, 4492, 4679, 547, 1832, 909, 609, 2413, 7569, 267, 519, 1158, 568 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4542, 538, 2259, 269, 1809, 1354, 649, 786, 1118, 513, 7503, 540, 476, 4366, 269, 276, 4846, 547, 7273, 649, 616, 2469, 547, 1397, 596, 1776, 1259, 547, 917, 476, 4366, 269, 276, 4846, 547, 875, 1082, 7273, 11207, 4674, 1652, 563, 5194, 1259, 547, 917, 1018, 568, 476, 4366, 269, 276, 11304, 3160, 547, 538, 6550, 568, 547, 946, 476, 4366, 269, 276, 4846, 7273, 9498, 269, 1548, 568, 513, 4846, 547, 18470, 20303, 888, 3519, 591, 614, 568, 606, 3498, 269, 898, 568, 1759, 593, 1101, 4528, 540, 513, 4542, 799, 649, 4951, 596, 1657, 269, 8729, 547, 476, 4366, 269, 276, 4846, 11013, 9498, 596, 666, 3362, 6460, 476, 4366, 269, 276, 4846, 547, 7273, 269, 1411, 1152, 991, 547, 4283, 1297, 540, 13532, 799, 596, 991, 547, 6460, 543, 4945, 2048, 20412, 622, 685, 7735, 269, 634, 1267, 786, 581, 3254, 538, 513, 2034, 563, 3383, 2119, 547, 6460, 476, 4366, 269, 276, 4846, 883, 7273, 1210, 476, 4366, 269, 276, 4846, 5288, 11013, 20303, 269, 1284, 9411, 476, 4366, 269, 276, 607, 606, 2179, 540, 13532, 269, 898, 568, 519, 6364, 281, 476, 4366, 269, 276, 11304, 815, 476, 11793, 269, 280, 2190, 3192, 271, 3583, 6550, 563, 2026, 596, 666, 1294, 267, 938, 476, 4366, 269, 276, 4846, 5288, 7273, 9498, 568, 16022, 563, 3086, 649, 666, 979, 547, 938, 1292, 1888, 910, 875, 547, 6460, 476, 4366, 269, 276, 13532, 547, 6550, 593, 707, 1378, 563, 2171, 786, 1376, 476, 4366, 269, 276, 11304, 11224, 547, 875, 1082, 6550, 9819, 609, 519, 1101, 4528, 540, 513, 4542, 547, 1205, 519, 1034, 2953, 1267, 269, 589, 2656, 12576, 540, 513, 4542, 912, 8649, 870, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 11793, 269, 280, 2190, 3192, 271, 3583, 519, 1267, 538, 6550, 454, 3383, 1018, 723, 596, 798, 547, 917, 875, 1082, 6550, 3160, 547, 476, 4366, 269, 276, 11304, 286, 3807, 9062, 1297, 540, 13532, 267, 713, 942, 476, 4366, 269, 276, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 4010, 476, 11793, 269, 280, 2190, 3192, 271, 3583, 269, 1924, 476, 4366, 269, 276, 11304, 568, 3160, 476, 11793, 269, 280, 2190, 3192, 271, 3583, 563, 2791, 666, 849, 5180, 1055, 713, 1267, 267, 585, 3236, 267, 547, 1079, 8918, 4025, 269, 898, 568, 476, 273, 269, 736, 269, 1924, 476, 4366, 269, 276, 11304, 815, 476, 11793, 269, 10384, 6550, 563, 2005, 568, 1164, 942, 585, 606, 1383, 689, 4948, 1272, 269, 2913, 779, 5173, 476, 4366, 269, 276, 4846, 4154, 538, 6550, 269, 1924, 476, 4366, 269, 276, 4846, 3160, 547, 875, 1082, 7273, 286, 1656, 1586, 910, 9062, 476, 4366, 269, 276, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 3160, 476, 11793, 269, 280, 2190, 3192, 271, 3583, 269, 1924, 6697, 540, 476, 4366, 269, 276, 13532, 547, 6550, 267, 950, 621, 2501, 547, 4154, 267, 568, 3160, 476, 11793, 269, 280, 2190, 3192, 271, 3583, 563, 1103, 713, 2013, 621, 568, 849, 2009, 547, 5180, 1055, 519, 1267, 269, 901, 568, 519, 1267, 1310, 24263, 1055, 267, 538, 713, 2013, 547, 835, 8918, 1747, 910, 476, 4366, 269, 276, 11304, 476, 11793, 269, 3583, 6550, 563, 3086, 649, 616, 2469, 547, 1806, 7229, 1210, 2110, 4542, 563, 6524, 649, 1397, 596, 606, 1383, 910, 513, 2656, 12576, 540, 10156, 4542, 912, 8649, 870, 540, 13532, 2608, 476, 273, 269, 273, 815, 476, 11793, 269, 3583, 519, 1267, 538, 6550, 454, 3383, 476, 4366, 269, 276, 4846, 3160, 547, 875, 1454, 7273, 286, 1656, 1586, 267, 596, 991, 547, 9062, 2179, 540, 11304, 267, 538, 713, 2013, 476, 4366, 269, 276, 267, 676, 476, 273, 269, 273, 269, 2913, 779, 1294, 281, 476, 4366, 269, 276, 2608, 476, 273, 269, 273, 815, 476, 11793, 269, 3583, 269, 1924, 476, 4366, 269, 276, 11304, 568, 3160, 476, 273, 269, 273, 6550, 563, 2710, 1776, 7503, 609, 946, 540, 713, 4528, 540, 513, 4542, 269, 3767, 6460, 1945, 689, 4948, 1272, 267, 585, 1383, 267, 476, 4366, 269, 276, 4846, 547, 7273, 2597, 540, 22229, 563, 3383, 5173, 910, 476, 4366, 269, 276, 11304, 540, 22229, 2608, 476, 273, 269, 273, 815, 476, 11793, 269, 3583, 6550, 540, 22229, 269, 1924, 476, 4366, 269, 276, 4846, 547, 11013, 2527, 568, 4010, 476, 11793, 269, 3583, 563, 2252, 596, 917, 875, 1454, 568, 476, 4366, 269, 276, 11304, 2597, 538, 6550, 543, 666, 5173, 621, 1210, 1079, 1114, 8747, 540, 513, 4542, 267, 649, 666, 1847, 593, 269, 3767, 649, 1616, 547, 1397, 596, 782, 4093, 538, 12125, 563, 2171, 917, 602, 4093, 4843, 538, 7515, 616, 865, 1454, 20501, 585, 1034, 540, 596, 269, 898, 568, 11207, 24669, 267, 865, 649, 10356, 782, 891, 4093, 538, 12125, 585, 707, 13418, 269, 9603, 547, 713, 596, 666, 3533, 5635, 476, 4366, 269, 276, 4846, 6697, 547, 7273, 2164, 563, 24375, 609, 513, 476, 4366, 269, 276, 4846, 11224, 7273, 5750, 585, 519, 1101, 4528, 540, 513, 4542, 912, 347, 298, 559, 9999, 1475, 303, 2432, 1475, 303, 2432, 630, 12898, 24263, 1055, 547, 1079, 8918, 4025, 10245, 4517, 1631, 1577, 779, 1294, 476, 4366, 269, 276, 4846, 3160, 11013, 3349, 585, 519, 2034, 4542, 912, 2026, 596, 666, 1294, 267, 1310, 24263, 1055, 267, 952, 621, 2501, 547, 875, 1454, 476, 4366, 269, 276, 11304, 11224, 6550, 267, 519, 2164, 616, 519, 1482, 269, 634, 8273, 1297, 519, 811, 9645, 3017, 269, 5901, 621, 538, 2247, 950, 596, 991, 547, 1118, 8273, 1297, 982, 476, 4366, 269, 276, 13532, 6550, 7503, 563, 3086, 596, 4121, 875, 547, 6460, 476, 4366, 269, 276, 13532, 875, 1454, 6550, 855, 649, 786, 1397, 596, 1945, 811, 269, 1684, 596, 1616, 547, 917, 1018, 621, 568, 286, 1548, 827, 476, 4366, 269, 276, 11304, 547, 6550, 543, 13728, 9819, 888, 2171, 786, 1397, 596, 875, 596, 666, 5173, 621, 1900, 676, 1900, 269, 10670, 269, 1215, 1454, 568, 476, 4366, 269, 276, 4846, 538, 7273, 543, 12063, 888, 5575, 1919, 1101, 910, 596, 991, 547, 9062, 1297, 540, 13532, 267, 713, 942, 476, 4366, 269, 276, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 1924, 476, 4366, 269, 276, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 11793, 269, 280, 2190, 3192, 271, 3583, 269, 2290, 11304, 568, 4010, 476, 273, 269, 14225, 25118, 7830, 6550, 563, 763, 8870, 851, 568, 1297, 540, 6550, 269, 1924, 538, 713, 2013, 972, 616, 476, 273, 6550, 563, 2414, 6460, 875, 1454, 476, 4366, 269, 276, 11304, 568, 3160, 547, 6550, 543, 13728, 596, 991, 547, 9062, 6824, 851, 676, 476, 1626, 269, 1924, 9062, 476, 14225, 25118, 7830, 676, 476, 1626, 269, 898, 568, 476, 27628, 31256, 4572, 13728, 563, 3383, 3803, 6364, 568, 476, 273, 6550, 543, 476, 27628, 31256, 4572, 13728, 269, 1411, 666, 849, 5180, 1055, 13728, 267, 585, 3236, 267, 547, 1079, 4025, 269, 3973, 707, 6364, 568, 3160, 476, 273, 6550, 543, 476, 3451, 13728, 563, 2026, 596, 666, 1294, 267, 9819, 476, 4366, 269, 276, 11304, 538, 6550, 543, 13728, 3833, 3274, 563, 763, 2063, 7503, 799, 649, 616, 2469, 547, 1397, 596, 568, 9819, 540, 476, 4366, 269, 276, 3723, 6550, 547, 13532, 7397, 269, 5637, 540, 873, 616, 4559, 540, 960, 563, 2414, 5173, 621, 621, 568, 2877, 1776, 4542, 269, 6969, 649, 1397, 596, 713, 4542, 267, 723, 513, 1413, 912, 3086, 1577, 779, 1294, 513, 4542, 912, 8649, 870, 10611, 24655, 292, 2211, 28829, 540, 3723, 6550, 2608, 476, 271, 269, 15946, 22724, 4817, 815, 519, 6364, 538, 13532, 7397, 454, 3383, 547, 6460, 476, 4366, 269, 276, 3723, 6550, 547, 13532, 7397, 596, 723, 547, 9062, 476, 4366, 269, 276, 676, 476, 271, 269, 15946, 22724, 4817, 269, 898, 568, 476, 271, 269, 15946, 22724, 4817, 269, 1924, 476, 4366, 269, 276, 3723, 6550, 568, 4010, 476, 271, 269, 15946, 22724, 4817, 11304, 7397, 563, 2005, 568, 849, 2009, 547, 5180, 1055, 713, 1267, 267, 585, 1383, 267, 547, 1079, 8918, 4025, 269, 3973, 476, 4366, 269, 276, 3723, 6550, 568, 476, 271, 269, 1691, 11304, 7397, 563, 2171, 4126, 602, 713, 9819, 729, 607, 2653, 607, 476, 4366, 269, 276, 11304, 883, 6550, 24740, 563, 1607, 2376, 568, 513, 2462, 735, 754, 1756, 827, 11304, 267, 11013, 543, 476, 4366, 269, 276, 4846, 547, 7273, 538, 7503, 269, 8729, 547, 713, 9819, 596, 4121, 476, 4366, 269, 276, 11304, 568, 6697, 547, 875, 1082, 6550, 563, 2171, 4951, 596, 711, 1152, 875, 547, 798, 513, 9819, 476, 4366, 269, 276, 11304, 547, 11973, 6550, 855, 849, 1079, 1776, 24740, 910, 547, 917, 875, 1082, 476, 4366, 269, 276, 4846, 538, 6550, 543, 13728, 543, 875, 1082, 476, 4366, 269, 276, 3723, 6550, 547, 13532, 7397, 563, 2171, 4951, 596, 849, 1776, 1259, 547, 798, 476, 4366, 269, 276, 11304, 875, 1082, 6550, 24740, 267, 621, 568, 609, 946, 540, 476, 4366, 269, 276, 4846, 679, 11013, 20303, 269, 898, 568, 519, 1655, 3903, 585, 1346, 540, 596, 945, 798, 711, 899, 14291, 593, 707, 1378, 693, 782, 610, 991, 547, 1118, 7711, 19668, 8649, 870, 18360, 4846, 875, 7273, 9273, 538, 18334, 1259, 563, 2171, 4126, 602, 1631, 782, 540, 596, 616, 2111, 547, 1118, 476, 4366, 269, 276, 11304, 3160, 547, 875, 1082, 6550, 9819, 910, 593, 707, 1378, 610, 1210, 938, 476, 4366, 269, 276, 4846, 338, 547, 6550, 20303, 563, 10673, 1406, 7227, 256, 12433, 476, 4366, 269, 276, 11304, 2527, 547, 6550, 538, 519, 1655, 1259, 585, 596, 563, 2710, 596, 991, 547, 1118, 824, 982, 476, 4366, 269, 276, 11304, 607, 6550, 7503, 286, 1280, 3236, 267, 585, 476, 1428, 13532, 286, 6744, 938, 824, 4930, 256, 1284, 10018, 602, 9273, 585, 824, 5666, 540, 13532, 616, 865, 3274, 607, 585, 476, 4366, 269, 276, 11304, 3160, 1082, 6550, 563, 4263, 519, 1439, 267, 649, 616, 2469, 547, 17412, 519, 1888, 540, 713, 2376, 267, 602, 568, 875, 1454, 568, 476, 4366, 269, 276, 4846, 538, 6550, 2073, 649, 5423, 835, 811, 3296, 269, 3371, 596, 666, 1294, 782, 596, 991, 547, 3314, 827, 875, 1454, 568, 476, 4366, 269, 276, 4846, 3160, 547, 7273, 543, 875, 547, 6460, 476, 4366, 269, 276, 4846, 547, 7273, 1547, 2913, 779, 1294, 563, 1692, 1281, 519, 11304, 547, 11013, 7503, 1413, 286, 634, 7503, 4846, 547, 18470, 568, 1175, 14921, 476, 273, 2338, 269, 2913, 779, 1294, 476, 4366, 269, 276, 4846, 547, 11013, 7503, 4542, 1547, 5620, 513, 1413, 912, 763, 1297, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 1267, 538, 6550, 454, 8450, 519, 1267, 540, 519, 7503, 540, 476, 4366, 269, 276, 11304, 547, 6550, 269, 634, 2953, 2626, 568, 476, 11793, 269, 280, 2190, 3192, 271, 3583, 18470, 563, 2791, 666, 849, 5173, 875, 1454, 476, 4366, 269, 276, 11304, 568, 3160, 547, 6550, 609, 1776, 267, 27571, 4528, 540, 519, 4542, 269, 6744, 621, 1524, 2630, 563, 763, 1297, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 1267, 538, 6550, 454, 3383, 1631, 267, 476, 4366, 269, 276, 4846, 3160, 547, 875, 1454, 7273, 7790, 634, 2626, 568, 476, 11793, 269, 280, 2190, 3192, 271, 3583, 6550, 563, 1692, 547, 6460, 476, 4366, 269, 276, 4846, 547, 7273, 538, 1175, 513, 4090, 286, 898, 568, 2009, 547, 946, 519, 476, 4366, 269, 276, 4846, 547, 7273, 20303, 2073, 799, 786, 1118, 519, 1964, 585, 596, 543, 2285, 596, 513, 2953, 1267, 4586, 347, 4366, 269, 4905, 4846, 547, 7273, 10227, 10755, 269, 279, 6246, 11152, 2008, 347, 4366, 269, 6349, 4846, 547, 7273, 10227, 10755, 269, 279, 4792, 7176, 2008, 347, 4366, 269, 6734, 4846, 547, 7273, 10227, 10755, 269, 31229, 6349, 2008, 347, 4366, 269, 6860, 4846, 547, 7273, 10227, 10755, 269, 280, 1015, 5881, 2008, 347, 4366, 269, 4962, 4846, 547, 7273, 10227, 10755, 269, 280, 3953, 1321, 2008, 347, 4366, 269, 6187, 4846, 547, 7273, 10227, 10755, 269, 4817, 275, 1626, 2008, 347, 4366, 269, 5881, 4846, 547, 7273, 10227, 10755, 269, 9032, 277, 2641, 2008, 347, 4366, 269, 5400, 4846, 547, 7273, 10227, 10755, 269, 4200, 279, 2918, 2008, 347, 4366, 269, 6021, 4846, 547, 7273, 10227, 11793, 269, 22903, 1789, 2008, 347, 4366, 269, 272, 4846, 547, 7273, 10227, 11793, 269, 271, 5655 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8702, 547, 938, 3992, 827, 875, 4031, 948, 1004, 8207, 22195, 256, 5620, 596, 2479, 1185, 513, 4339, 609, 707, 3659, 936, 4171, 11442, 621, 2731, 729, 286, 9320, 596, 4312, 11130, 609, 513, 24107, 827, 945, 4991, 547, 4584, 519, 7641, 1397, 9522, 697, 269, 1879, 649, 723, 7526, 899, 891, 267, 3006, 649, 991, 2576, 3116, 547, 1900, 538, 543, 948, 721, 1265, 513, 3070, 602, 1568, 585, 3025, 269, 2334, 781, 1018, 4031, 543, 10470, 616, 585, 1932, 2439, 1103, 713, 3184, 267, 649, 786, 1451, 827, 1945, 1572, 834, 763, 6406, 26488, 8943, 1701, 901, 3009, 6645, 721, 875, 547, 946, 519, 1876, 950, 972, 568, 513, 15539, 1063, 1079, 1004, 610, 3906, 602, 3085, 1405, 4125, 8840, 1022, 7803, 3652, 269, 5502, 267, 621, 814, 547, 798, 609, 1919, 899, 11731, 267, 3959, 267, 22440, 267, 610, 824, 1271, 6927, 1141, 4079, 1522, 991, 930, 3063, 5583, 780, 5575, 267, 1577, 781, 2911, 827, 930, 2596, 2474, 596, 991, 547, 917, 1384, 265, 2878, 13356, 872, 5093, 589, 3375, 1500, 676, 513, 9794, 538, 5480, 563, 265, 2878, 297, 644, 8540, 5093, 5381, 547, 31885, 855, 2356, 4016, 547, 519, 3803, 6364, 540, 513, 2898, 27779, 563, 265, 2878, 24576, 5093, 1323, 6044, 2016, 676, 513, 9794, 1282, 513, 3656, 1184, 563, 265, 2878, 20288, 793, 7040, 32434, 644, 8540, 5093, 1452, 3277, 547, 2665, 8345, 3544, 540, 3127, 610, 5947, 902, 1500, 676, 16488, 538, 1776, 2197, 563, 265, 2878, 24464, 4515, 1080, 5093, 14559, 12236, 24648, 958, 610, 15490, 569, 799, 666, 581, 10645, 1394, 998, 513, 2027, 2186, 540, 27779, 563, 265, 2878, 288, 742, 573, 822, 527, 5093, 589, 2854, 9153, 9896, 896, 522, 987, 30418, 602, 1344, 3177, 568, 3020, 563, 265, 2878, 306, 3726, 540, 513, 3540, 2470, 5093, 7102, 3656, 2962, 3323, 1317, 540, 513, 24895, 602, 3884, 1405, 827, 10963, 1373, 8149, 563, 265, 2878, 5522, 5593, 5093, 634, 1101, 3561, 19429, 538, 513, 27779, 4358, 519, 2898, 1184, 7713, 1946, 789, 1589, 789, 1058, 3094, 563, 265, 2878, 24309, 15048, 5093, 1548, 519, 824, 5428, 11339, 1524, 607, 741, 3210, 547, 519, 27674, 1310, 8391, 621, 563, 265, 2878, 299, 20235, 11724, 894, 5093, 25126, 17101, 547, 957, 593, 15773, 540, 2576, 3116, 538, 3656, 6927, 1107, 1419, 513, 1920, 4759, 952, 519, 3312, 1268, 814, 5293, 2476, 563, 265, 2878, 4910, 1016, 4140, 823, 5093, 31283, 1412, 1492, 2339, 568, 2907, 538, 5480, 9538, 4495, 513, 2013, 5956, 267, 1100, 835, 3116, 666, 1376, 513, 1007, 2013, 1759, 593, 519, 1482, 5013, 563, 265, 2878, 4910, 4140, 545, 1092, 5093, 4676, 619, 547, 3664, 1500, 538, 2250, 2665, 282, 2899, 4956, 267, 1346, 2152, 3112, 581, 20460, 1243, 1586, 538, 2104, 4031, 7057, 563, 265, 2878, 290, 712, 1206, 5093, 7981, 4025, 1141, 8036, 4648, 1572, 16488, 6432, 547, 7440, 4843, 676, 1312, 5011, 543, 1287, 6430, 1018, 1058, 4755, 1985, 2687, 547, 519, 1876, 780, 3086, 4952, 596, 1616, 547, 1376, 513, 27779, 269, 7316, 1131, 596, 979, 286, 1215, 1131, 596, 1256, 2253, 286, 5213, 1405, 5855, 267, 972, 616, 5773, 1305, 856, 538, 519, 6406, 26488, 8943, 547, 3391, 596, 1169, 1900, 540, 519, 1259, 269, 2913, 781, 1413, 693, 873, 1631, 1384, 272, 269, 2878, 297, 9766, 323, 2109, 543, 9255, 540, 2672, 532, 5093, 6969, 25937, 513, 2013, 267, 596, 1590, 4137, 856, 2436, 519, 5480, 596, 8359, 814, 519, 1379, 547, 6023, 971, 13882, 269, 4746, 267, 3313, 1141, 4010, 1369, 922, 8513, 519, 2013, 949, 8399, 563, 273, 269, 2878, 9743, 3191, 540, 2672, 527, 5093, 18786, 513, 27779, 3322, 8600, 2556, 1957, 1740, 267, 9878, 2838, 12375, 267, 26446, 3388, 13166, 547, 519, 3617, 5480, 563, 274, 269, 2878, 303, 18490, 5093, 5675, 1524, 782, 4143, 3877, 3823, 519, 4655, 1519, 6811, 267, 23640, 267, 8323, 8179, 3092, 1421, 1739, 1978, 2489, 3741, 543, 3652, 269, 13536, 5933, 1450, 993, 2056, 5418, 611, 902, 952, 2877, 563, 275, 269, 2878, 8512, 625, 547, 513, 2672, 527, 5093, 10576, 945, 781, 3238, 269, 5637, 5011, 991, 547, 1174, 945, 789, 2811, 909, 1996, 610, 5885, 563, 276, 269, 2878, 291, 18752, 267, 6184, 18936, 543, 13870, 540, 26671, 5093, 4438, 7041, 267, 1142, 2427, 8843, 2963, 789, 1544, 547, 946, 865, 9444, 4991, 14281, 1282, 4693, 269, 1358, 849, 1205, 4960, 547, 4983, 2168, 3688, 5702, 4448, 547, 519, 2013, 563, 277, 269, 2878, 7343, 30970, 543, 6348, 5025, 653, 30970, 540, 3487, 625, 5093, 5272, 7853, 2115, 547, 2995, 519, 5480, 789, 3513, 7119, 269, 1403, 2576, 5337, 2803, 713, 10421, 267, 3983, 1919, 1223, 4755, 547, 873, 2663, 2336, 278, 269, 2878, 5575, 24651, 5093, 7053, 256, 15526, 10742, 3068, 3562, 19904, 1354, 513, 9794, 269, 3962, 2427, 6799, 6679, 6898, 267, 2055, 22168, 267, 13187, 2798, 540, 1876, 267, 543, 13668, 4093, 780, 9961, 713, 17890, 1184, 267, 10151, 3800, 1634, 607, 954, 574, 9753, 666, 581, 16761, 269, 1280, 3236, 267, 16171, 7221, 2394, 9562, 568, 5462, 267, 10300, 1154, 5739, 2238, 2394, 6571, 267, 694, 1944, 3959, 17303, 267, 6966, 532, 2256, 1392, 547, 4383, 4213, 538, 24187, 267, 14053, 19736, 585, 1761, 9271, 267, 3092, 269, 2353, 891, 2832, 547, 2226, 14619, 1247, 7996, 585, 3803, 2357, 18743, 338, 780, 8170, 1576, 267, 2469, 547, 5480, 12582, 1405, 2141, 581, 519, 1101, 4781, 269, 1703, 616, 4244, 2081, 547, 4194, 13882, 25678, 269, 2290, 2442, 1505, 1851, 873, 568, 598, 16624, 269, 6145, 25019, 267, 598, 16624, 6770, 1927, 15852, 6105, 5280, 676, 9243, 3791, 7606, 1572, 598, 4290, 328, 2209, 269, 9521, 18657, 2209, 1498, 267, 598, 4290, 328, 2209, 2303, 2009, 3435, 3079, 540, 8806, 14123, 5717, 269, 2755, 1447, 6101, 982, 8062, 267, 11650, 6603, 1869, 3180, 3656, 2597, 1818, 873, 3407, 3681, 4502, 6236, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 306, 312, 17247, 5723, 4785, 26993, 11065, 630, 295, 2177, 306, 4700, 476, 278, 8025, 590, 4932, 2464, 9898, 2910, 14701, 5508, 595, 4353, 6579, 11550, 290, 3633, 13543, 1299, 32045, 5508, 700, 8379, 3951, 9569, 910, 296, 4985, 2433, 9502, 2433, 5463, 872, 267, 7225, 8540, 267, 11352, 267, 14579, 7040, 267, 14579, 7225, 8540, 267, 9093, 4515, 1080, 267, 10500, 573, 822, 527, 267, 2672, 527, 540, 513, 3540, 2470, 267, 1773, 5593, 267, 18838, 15048, 267, 13751, 11724, 894, 267, 12830, 16610, 2433, 1763, 28175, 268, 3286, 823, 267, 1763, 9080, 545, 1092, 267, 29190, 520, 267, 769, 6254, 5295, 267, 30271, 269, 19461, 17778, 538, 513, 2672, 527, 2433, 808, 9766, 323, 2109, 543, 1747, 540, 647, 532, 267, 26323, 540, 9290, 267, 623, 18490, 2433, 12791, 267, 8629, 267, 4937, 16390, 267, 14821, 540, 623, 18490, 267, 1773, 5593, 543, 18838, 3948, 267, 3487, 625, 547, 513, 9290, 267, 20570, 267, 6184, 18936, 543, 13870, 540, 6054, 267, 2561, 30970, 543, 1875, 22190, 30970, 540, 6105, 267, 3689, 6217, 269, 5149, 268, 7656, 3955, 574, 2107, 10249, 2433, 8189, 267, 10654, 1354, 10385, 267, 5900, 16670, 1354, 21520, 267, 570, 3637, 20070, 17313, 267, 3955, 32643, 21881, 11352, 267, 25547, 1853, 267, 8232, 540, 3790, 269, 2672, 527, 538, 3487, 7781, 2013, 2433, 2672, 1080, 676, 610, 1996, 6554, 267, 2672, 1080, 676, 30724, 550, 1268, 267, 3955, 268, 921, 14575, 2672, 527, 267, 12834, 26488, 267, 2672, 1080, 11341, 547, 5398, 715, 7572, 766, 563, 272, 269, 634, 6406, 26488, 8943, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 20010, 2598, 335, 1393, 22375, 1315, 1230, 16624, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 1012, 12430, 22953, 609, 27240, 1304, 2677, 1417, 692, 30791, 9695, 568, 513, 4909, 1523, 538, 3684, 1565, 267, 1031, 547, 2203, 519, 2078, 1063, 1079, 610, 811, 4632, 269, 769, 713, 3296, 267, 649, 786, 2263, 5276, 9695, 1210, 13506, 16350, 267, 513, 2442, 11938, 5690, 780, 2162, 12430, 22953, 692, 30791, 9695, 568, 513, 8579, 1505, 1031, 547, 3313, 519, 5276, 2078, 1063, 513, 8200, 4756, 630, 344, 264, 543, 835, 610, 811, 4830, 4632, 630, 343, 1040, 634, 3804, 568, 547, 1265, 519, 1655, 1922, 527, 1899, 602, 24024, 519, 3845, 1063, 519, 4767, 6114, 538, 519, 10471, 543, 1346, 10567, 676, 519, 5276, 19406, 780, 763, 2489, 3830, 585, 513, 5276, 9695, 2203, 609, 1079, 2934, 568, 1384, 2330, 586, 815, 530, 318, 271, 1341, 530, 318, 272, 343, 318, 272, 1341, 530, 318, 273, 343, 318, 273, 3230, 692, 3602, 1269, 342, 318, 271, 259, 568, 519, 9186, 2165, 267, 1269, 342, 318, 272, 259, 543, 1269, 342, 318, 273, 259, 616, 519, 12035, 585, 519, 2934, 1269, 343, 318, 272, 259, 543, 1269, 343, 318, 273, 259, 6606, 780, 2162, 27240, 1304, 2677, 1417, 692, 294, 2784, 1304, 16350, 568, 606, 11938, 5690, 1031, 547, 1265, 519, 2418, 540, 519, 6724, 630, 30135, 543, 9186, 264, 602, 7413, 513, 2016, 1599, 267, 1634, 607, 519, 1942, 1599, 269, 634, 1942, 1599, 3800, 519, 5470, 1063, 519, 10567, 543, 4890, 2418, 780, 763, 13506, 16350, 5690, 12055, 8271, 10311, 519, 6724, 538, 519, 6587, 4287, 540, 519, 13506, 540, 519, 1942, 1599, 609, 2463, 547, 519, 6724, 269, 901, 568, 2944, 1210, 519, 1739, 9337, 4341, 1384, 2330, 530, 815, 530, 910, 1422, 10401, 1422, 2765, 3189, 14783, 808, 26028, 264, 7346, 14783, 530, 348, 3230, 692, 3602, 1269, 342, 259, 568, 519, 9936, 6152, 267, 4399, 10401, 259, 568, 519, 1565, 2557, 267, 543, 4399, 2765, 3189, 14783, 808, 26028, 264, 7346, 14783, 530, 4151, 568, 519, 13506, 540, 519, 1942, 1599, 1269, 297, 26028, 7751, 609, 2463, 547, 519, 9936, 6152, 1269, 342, 16859, 2162, 20074, 27240, 1304, 2677, 1417, 585, 12430, 22953, 692, 4131, 781, 2936, 13506, 16350, 585, 5276, 9695, 538, 5124, 269, 1284, 786, 1376, 676, 10747, 519, 1942, 1599, 543, 922, 13506, 780, 763, 1942, 1599, 585, 5276, 9695, 568, 519, 1611, 16302, 5470, 630, 5960, 292, 264, 1063, 519, 10567, 543, 4890, 2418, 1384, 2330, 808, 26028, 264, 815, 1422, 2765, 346, 272, 2410, 273, 332, 348, 1422, 8999, 3709, 328, 284, 272, 8703, 332, 348, 630, 344, 10983, 910, 1422, 1002, 26635, 10983, 348, 8203, 273, 3230, 692, 3602, 1269, 332, 259, 568, 519, 1297, 540, 8320, 267, 1269, 344, 10983, 259, 568, 519, 4890, 1871, 585, 519, 1269, 328, 27572, 628, 3236, 267, 543, 4399, 1002, 26635, 10983, 4151, 568, 519, 10567, 1871, 585, 519, 1269, 328, 27572, 628, 3236, 780, 763, 13506, 540, 519, 1942, 1599, 609, 2463, 547, 519, 12035, 568, 1384, 2330, 1422, 2765, 3189, 14783, 808, 26028, 264, 7346, 14783, 530, 348, 815, 28363, 2765, 346, 272, 2410, 332, 348, 1422, 8999, 3709, 328, 284, 272, 8703, 332, 348, 630, 344, 10983, 910, 1422, 1002, 26635, 10983, 16585, 1535, 10983, 3230, 692, 3602, 1269, 343, 10983, 259, 568, 519, 4183, 6152, 585, 519, 1269, 328, 27572, 628, 3236, 780, 4131, 781, 2936, 891, 3252, 538, 5124, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 692, 3698, 12337, 6831, 739, 11583, 267, 962, 267, 530, 2187, 825, 544, 815, 2473, 17482, 314, 271, 2639, 825, 808, 815, 476, 272, 14370, 273, 265, 332, 264, 2608, 5286, 27904, 9230, 312, 910, 2473, 31715, 26028, 4297, 1262, 273, 994, 825, 2132, 808, 692, 3698, 12337, 14682, 2784, 11583, 267, 962, 267, 530, 2187, 825, 544, 815, 2473, 17482, 314, 271, 2639, 825, 5552, 815, 910, 272, 8276, 2608, 2473, 11053, 31715, 263, 312, 910, 2473, 31715, 26028, 4917, 825, 2132, 5552, 454, 7884, 3086, 267, 1577, 781, 2936, 519, 13506, 16350, 5690, 1384, 3499, 7090, 454, 3698, 13506, 5091, 27853, 11583, 267, 962, 267, 13672, 267, 562, 318, 788, 5255, 2187, 825, 544, 267, 562, 815, 2473, 17482, 454, 825, 530, 815, 5286, 25910, 9230, 333, 267, 476, 272, 11723, 825 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 676, 519, 1353, 286, 1684, 596, 3858, 270, 4134, 698, 872, 609, 519, 4681, 286, 1548, 616, 519, 6286, 540, 519, 1353, 286, 1411, 1058, 1374, 622, 713, 3296, 607, 519, 2079, 3296, 676, 1210, 513, 16144, 585, 5811, 14727, 761, 1664, 454, 268, 18049, 270, 5882, 630, 276, 2798, 2567, 2659, 1957, 1058, 581, 2312, 267, 17396, 267, 543, 6896, 269, 2659, 1957, 1058, 581, 5402, 6169, 1348, 585, 10259, 543, 8239, 6959, 563, 268, 14905, 2511, 630, 273, 269, 276, 2798, 2567, 2659, 1957, 1058, 946, 14905, 2511, 585, 707, 538, 17856, 14327, 543, 585, 707, 4704, 11239, 269, 6423, 1657, 5409, 31904, 585, 948, 593, 14905, 2511, 269, 0, 299, 9734, 327, 753, 2281, 630, 9448, 338, 264, 723, 1044, 519, 1641, 540, 1454, 1382, 2094, 741, 6602, 538, 476, 5908, 279, 269, 700, 12336, 4866, 547, 519, 15410, 540, 682, 1075, 14231, 1572, 27765, 26578, 2281, 269, 1358, 616, 1459, 538, 519, 28603, 529, 543, 519, 7796, 846, 321, 17675, 17102, 543, 6895, 519, 2759, 10389, 1604, 585, 2242, 538, 27921, 269, 4438, 11616, 14003, 267, 513, 5951, 540, 586, 13083, 5485, 31457, 6079, 519, 19341, 2960, 269, 3973, 267, 19341, 6797, 1395, 14231, 7361, 5372, 519, 586, 13083, 5485, 31457, 543, 17663, 519, 5354, 540, 2937, 700, 12336, 269, 769, 519, 4527, 540, 2960, 16698, 267, 700, 12336, 1184, 18970, 543, 2951, 547, 6237, 9726, 9136, 547, 1459, 18970, 547, 19535, 570, 9726, 14231, 269, 15448, 538, 700, 12336, 262, 2627, 12508, 1282, 519, 3460, 2049, 896, 519, 3310, 540, 29299, 269, 634, 3017, 538, 4082, 540, 2627, 12508, 543, 519, 2702, 547, 5706, 5982, 723, 4847, 3173, 547, 16174, 700, 12336, 689, 519, 9597, 710, 700, 9734, 514, 25698, 546, 1069, 531, 27765, 26578, 2281, 269, 19196, 1746, 8906, 723, 1044, 1500, 5063, 3823, 741, 1909, 538, 12982, 2960, 3676, 267, 2860, 543, 7486, 269, 1715, 1382, 814, 3254, 602, 12489, 17527, 7131, 272, 320, 2408, 547, 11574, 6553, 538, 3346, 28810, 27383, 6547, 543, 27728, 269, 2755, 621, 814, 1044, 3964, 602, 700, 12336, 723, 519, 1761, 547, 16578, 1198, 528, 2281, 540, 519, 13261, 4761, 1062, 547, 4831, 32346, 14003, 267, 2487, 2090, 723, 7152, 602, 700, 12336, 11282, 609, 2067, 20740, 2281, 547, 10556, 1646, 540, 2695, 13904, 1591, 26217, 3361, 676, 3114, 15910, 11077, 269, 1717, 267, 700, 12336, 949, 849, 28772, 10999, 16401, 570, 2281, 543, 11863, 23128, 11294, 22889, 7004, 543, 10510, 3394, 8412, 269, 4014, 1279, 1634, 547, 1404, 513, 3119, 1909, 538, 519, 11144, 540, 7486, 3968, 267, 621, 568, 1631, 6956, 602, 700, 12336, 849, 4865, 519, 2702, 547, 6615, 519, 11144, 540, 519, 2068, 269, 1703, 568, 513, 10296, 991, 547, 3605, 811, 827, 875, 891, 2281, 1860, 1585, 3344, 540, 1072, 543, 2068, 282, 1007, 1344, 10356, 3976, 2484, 4667, 9621, 543, 3078, 563, 31871, 540, 3817, 1475, 279, 2008, 347, 22711, 1475, 22711, 540, 519, 3864, 9142, 540, 32536, 1108, 543, 10469, 699, 1108, 2008, 347, 13750, 1475, 13775, 910, 8734, 476, 1001, 278, 347, 0, 763, 4054, 538, 707, 13452, 666, 3142, 1082, 2640, 1519, 267, 2810, 707, 3959, 1871, 585, 1296, 547, 2097, 267, 865, 621, 779, 1271, 547, 1521, 873, 1318, 256, 9737, 26221, 267, 3905, 5712, 267, 543, 519, 3819, 4365, 602, 5162, 666, 3142, 267, 621, 779, 1271, 547, 2259, 5100, 3529, 1416, 676, 9363, 593, 1283, 540, 707, 3529, 779, 1216, 2157, 269, 898, 5673, 593, 799, 2249, 540, 4054, 596, 723, 267, 855, 930, 666, 1491, 9170, 689, 476, 2412, 547, 476, 1911, 1296, 547, 9921, 1107, 1818, 873, 513, 1279, 3856, 5092, 602, 2115, 6297, 512, 2056, 547, 269, 3371, 779, 875, 547, 1216, 707, 4054, 607, 851, 540, 513, 1697, 3529, 1416, 20786, 563, 13425, 2659, 19029, 685, 4826, 20946, 454, 2414, 15378, 2436, 513, 3529, 2115, 547, 581, 530, 23926, 267, 2638, 519, 3037, 4478, 621, 676, 11093, 707, 9416, 883, 519, 2666, 547, 1294, 952, 621, 7959, 3819, 610, 2182, 269, 1403, 865, 267, 621, 779, 942, 547, 1216, 256, 1403, 519, 3037, 814, 1869, 17477, 930, 7509, 267, 581, 2386, 547, 2638, 1394, 1169, 3018, 610, 865, 543, 1039, 1216, 607, 2556, 563, 12850, 2659, 19029, 4635, 519, 9406, 9828, 454, 2252, 596, 4076, 13761, 519, 3037, 543, 5462, 513, 3529, 2115, 1216, 267, 972, 616, 1101, 930, 1919, 547, 1832, 538, 2247, 269, 1879, 621, 2501, 547, 3529, 1072, 267, 936, 21226, 532, 666, 581, 1175, 607, 3983, 607, 896, 21226, 532, 267, 585, 1383, 269, 3371, 616, 4388, 585, 875, 547, 1216, 4054, 5265, 912, 12850, 1447, 4749, 1107, 21278, 513, 3529, 609, 3677, 5666, 540, 1216, 2899, 829, 3018, 11148, 547, 3895, 1732, 2208, 982, 14450, 811, 4749, 693, 4130, 5666, 269, 2913, 519, 25652, 2196, 26815, 585, 476, 276, 268, 1015, 3764, 547, 3132, 519, 476, 1015, 17529, 540, 1216, 2877, 269, 1411, 666, 849, 798, 713, 609, 513, 20057, 2401, 563, 12850, 519, 5072, 1107, 10326, 5072, 10110, 1216, 883, 519, 3529, 267, 865, 2057, 27830, 1216, 593, 519, 3762, 540, 519, 2030, 563, 12850, 532, 538, 519, 2887, 1107, 12096, 568, 950, 596, 1058, 1376, 3206, 827, 3529, 18309, 607, 1134, 607, 2799, 14450, 547, 5965, 4054, 585, 5162, 676, 4758, 873, 2635, 3597, 1949, 1282, 713, 3819, 942, 540, 1032, 563, 16605, 19029, 13245, 3414, 667, 893, 1206, 454, 303, 1503, 784, 539, 26221, 666, 14020, 4054, 267, 6028, 873, 11630, 547, 11641, 28383, 543, 4666, 17873, 602, 2154, 8851, 269, 631, 1155, 4054, 666, 1491, 1296, 547, 5372, 267, 1247, 588, 7927, 2451, 3297, 1711, 3750, 27940, 637, 602, 1419, 2154, 8860, 585, 8851, 269, 1924, 952, 596, 2461, 3843, 547, 4225, 1141, 547, 946, 1216, 538, 513, 10980, 267, 707, 4054, 1058, 581, 1164, 593, 519, 1592, 563, 21930, 10326, 5516, 454, 21930, 4054, 616, 1869, 3395, 543, 2154, 3063, 1416, 547, 8853, 269, 15223, 31958, 1058, 581, 530, 23926, 609, 476, 276, 268, 1428, 17529, 540, 1216, 12353, 689, 519, 1974, 1063, 4989, 547, 5239, 267, 855, 713, 666, 581, 4389, 547, 2899, 1169, 824, 3018, 689, 5437, 547, 4728, 563, 300, 1155, 10326, 5516, 454, 12507, 628, 569, 14450, 689, 4989, 547, 5239, 568, 2356, 2614, 585, 9921, 4054, 1282, 513, 10980, 267, 855, 952, 596, 666, 6488, 547, 2333, 519, 2557, 547, 7466, 513, 3018, 267, 798, 865, 269, 1403, 596, 723, 28301, 4054, 267, 3314, 789, 6336, 741, 3762, 1282, 519, 2887, 543, 1810, 1406, 2154, 10865, 14450, 689, 5437, 547, 4728, 563, 5591, 2339, 519, 4365, 2175, 267, 513, 1697, 14450, 20786, 1058, 581, 4553, 585, 707, 4054, 547, 21707, 269, 2060, 519, 1318, 14450, 2553, 267, 707, 4054, 666, 2611, 18932, 1256, 998, 26221, 267, 3905, 5712, 267, 543, 12675, 588, 6493, 540, 3819, 5162, 4365, 563, 2690, 936, 3670, 5756, 267, 24104, 754, 1763, 7808, 814, 3177, 10664, 2359, 543, 10821, 3529, 16013, 2719, 2533, 538, 519, 3152, 4095, 24550, 1858, 269, 1677, 8430, 6325, 3529, 1416, 2533, 267, 3346, 938, 818, 4011, 1235, 2221, 2336, 9596, 811, 4388, 543, 4030, 454, 1432, 616, 519, 13751, 543, 11038, 13786, 4850, 540, 11109, 19029, 593, 2659, 16296, 888, 307, 4181, 616, 513, 4190, 543, 6198, 851, 540, 1034, 8916, 267, 543, 649, 723, 1978, 2924, 543, 9021, 950, 621, 2501, 547, 519, 1416, 540, 1346, 4054, 269, 10326, 9562, 3340, 602, 649, 2226, 938, 4054, 5265, 547, 2061, 873, 689, 4742, 513, 8594, 610, 513, 562, 7572, 766, 2443, 543, 602, 779, 1141, 1919, 666, 1205, 2352, 563, 1692, 2052, 594, 15681, 952, 513, 10326, 568, 31808, 888, 2005, 1058, 979, 1510, 6031, 267, 855, 4054, 723, 513, 5458, 1764, 593, 938, 2729, 269, 6787, 621, 781, 2679, 513, 3529, 2777, 607, 513, 1126, 610, 9544, 513, 25308, 547, 2333, 3959, 1871, 607, 606, 2937, 267, 4054, 1683, 513, 9583, 11995, 1592, 540, 2640, 269, 1656, 1247, 1082, 540, 721, 723, 6170, 28782, 2220, 15781, 593, 554, 2459, 4169, 8288, 689, 4190, 4054, 899, 9006, 30514, 522, 6545, 267, 950, 729, 519, 2063, 942, 596, 2808, 519, 1072, 540, 519, 3529, 1354, 596, 3323, 21363, 286, 1656, 1247, 621, 4667, 899, 513, 1804, 3529, 568, 6793, 982, 5374, 267, 649, 991, 547, 1118, 2386, 789, 2811, 3144, 1416, 540, 543, 2635, 865, 649, 666, 2972, 873, 1279, 883, 519, 2104, 269, 1924, 267, 875, 666, 649, 3313, 950, 513, 3529, 568, 22247, 543, 9561, 922, 4222, 286 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3044, 1106, 547, 3561, 5955, 281, 3763, 606, 14827, 5967, 1106, 609, 11295, 2055, 602, 616, 13988, 609, 2754, 6859, 269, 2422, 513, 3044, 1106, 585, 782, 5520, 267, 865, 602, 596, 666, 3362, 5635, 543, 4334, 5955, 689, 1114, 5520, 780, 273, 269, 25849, 513, 11280, 1448, 540, 3346, 281, 25849, 513, 11280, 1268, 547, 2932, 14827, 11042, 267, 3561, 5955, 267, 543, 1246, 909, 609, 4143, 6105, 269, 901, 1268, 1058, 849, 723, 1569, 547, 782, 4143, 6054, 543, 5638, 780, 274, 269, 2422, 3059, 2645, 547, 3561, 5955, 281, 2422, 3059, 2645, 547, 2327, 782, 5955, 568, 6740, 538, 835, 3844, 4087, 269, 901, 786, 1118, 621, 4443, 547, 2671, 5955, 609, 4143, 6105, 267, 543, 786, 2569, 519, 8458, 540, 5955, 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, 6092, 5149, 281, 11485, 10495, 543, 5004, 538, 519, 12745, 540, 519, 1763, 7808, 3427, 5871, 15232, 32237, 630, 4753, 303, 2020, 1103, 713, 1576, 1770, 267, 649, 5490, 883, 519, 2565, 1858, 540, 1981, 4879, 543, 2359, 267, 2519, 4481, 593, 519, 2796, 540, 519, 1763, 7808, 3427, 5871, 15232, 32237, 630, 4753, 303, 1040, 634, 595, 7968, 729, 3964, 607, 851, 540, 513, 6626, 11175, 6876, 6322, 693, 5466, 519, 3140, 4636, 338, 1102, 21719, 2390, 7087, 9082, 998, 519, 10821, 1153, 1062, 538, 4516, 269, 901, 1770, 11394, 547, 16491, 6267, 609, 1702, 543, 1983, 2556, 547, 2697, 1761, 4220, 2404, 609, 17034, 519, 595, 7968, 267, 2708, 891, 4220, 267, 543, 2936, 3617, 3800, 547, 11574, 873, 780, 272, 269, 4197, 519, 8466, 12745, 281, 1763, 7808, 12140, 538, 4516, 692, 6524, 11362, 883, 1981, 4879, 543, 2359, 538, 6935, 547, 519, 595, 7968, 267, 621, 781, 1898, 547, 1174, 519, 3140, 2796, 4478, 10821, 3506, 538, 4516, 269, 9737, 519, 3735, 476, 5197, 271, 338, 543, 476, 1960, 277, 267, 811, 982, 476, 5611, 267, 1822, 7087, 1453, 941, 6569, 689, 741, 3885, 543, 2950, 543, 5116, 538, 5939, 24507, 10821, 3506, 269, 1452, 5238, 6322, 547, 15849, 30968, 7087, 6107, 883, 16402, 4211, 534, 6598, 2528, 676, 1139, 7675, 5065, 4654, 267, 9821, 267, 543, 5389, 269, 3004, 326, 1227, 267, 1082, 1053, 11124, 2168, 267, 3929, 267, 543, 4638, 6057, 1282, 741, 942, 693, 891, 3506, 269, 769, 476, 1220, 279, 267, 519, 6554, 540, 4516, 18005, 23294, 1242, 585, 922, 1909, 538, 4881, 519, 10821, 1153, 1062, 780, 273, 269, 4985, 547, 519, 1763, 7808, 3427, 5871, 15232, 32237, 630, 4753, 303, 2567, 18601, 12815, 654, 3994, 338, 692, 763, 595, 7968, 7153, 607, 513, 5057, 540, 519, 3677, 4095, 1763, 7808, 12140, 5590, 25557, 15716, 630, 7644, 306, 6347, 1070, 799, 8179, 547, 2699, 816, 930, 540, 519, 2800, 3361, 676, 519, 10821, 1153, 1062, 269, 4432, 580, 1043, 5449, 1053, 666, 4309, 13180, 896, 519, 595, 7968, 1759, 593, 741, 3259, 540, 20343, 693, 14718, 10821, 3506, 269, 1306, 7074, 538, 938, 6679, 1349, 267, 3156, 585, 519, 595, 7968, 949, 1831, 2139, 538, 11354, 476, 1220, 278, 267, 1739, 16324, 2689, 543, 13170, 3157, 780, 274, 269, 17291, 15783, 24093, 23105, 609, 7457, 532, 519, 595, 7968, 692, 16966, 532, 519, 595, 7968, 949, 1459, 1896, 2591, 602, 1223, 10460, 1585, 4220, 585, 23078, 269, 2368, 1761, 4220, 1331, 1384, 265, 16508, 11605, 1813, 547, 882, 1516, 15779, 2833, 1247, 22281, 532, 2250, 28407, 3248, 265, 30975, 10188, 1950, 3498, 5773, 543, 12319, 4170, 3248, 265, 31700, 1472, 22637, 543, 7834, 950, 4687, 6213, 2123, 1344, 3248, 265, 12694, 4466, 7850, 1489, 1949, 547, 948, 11883, 609, 519, 1184, 780, 275, 269, 30487, 519, 24093, 281, 589, 18043, 13979, 692, 2414, 3927, 4383, 4220, 2404, 609, 7311, 585, 519, 595, 7968, 267, 621, 781, 2629, 1101, 547, 2932, 513, 9488, 1981, 4879, 269, 901, 3322, 7114, 2693, 7653, 602, 1522, 9594, 2942, 4093, 543, 10442, 741, 1761, 1764, 543, 10171, 269, 1280, 1383, 267, 519, 1981, 540, 3929, 11605, 1522, 723, 1713, 4539, 585, 606, 1367, 781, 2790, 1072, 267, 3226, 952, 789, 3668, 1697, 1489, 5121, 269, 6684, 267, 7965, 10188, 1950, 3498, 5773, 1223, 1267, 538, 14406, 21852, 543, 4389, 2883, 2640, 780, 276, 269, 20074, 21474, 547, 14600, 580, 622, 5772, 1881, 24093, 692, 5629, 4220, 616, 4857, 543, 12290, 267, 3384, 2994, 547, 7413, 741, 1761, 8801, 2360, 3587, 14063, 269, 11153, 2489, 3741, 3391, 2500, 1981, 2359, 1384, 265, 11559, 1930, 2792, 1063, 8639, 3238, 538, 519, 1184, 3248, 265, 3629, 2312, 5583, 593, 519, 3498, 5650, 543, 12319, 4170, 3248, 265, 20644, 8194, 26455, 13508, 2533, 3358, 547, 2043, 262, 2115, 3248, 265, 5917, 11229, 585, 2178, 1239, 4027, 4507, 4180, 22637, 543, 7834, 3248, 265, 23340, 11215, 5054, 1141, 23078, 1745, 6899, 5275, 6351, 2429, 519, 1184, 780, 277, 269, 8490, 22990, 3050, 3414, 7991, 22580, 543, 8081, 17978, 692, 19741, 6101, 6127, 585, 5883, 4220, 267, 2146, 6278, 543, 2679, 7347, 1489, 5121, 1404, 11358, 5107, 538, 5009, 6043, 1851, 1346, 4299, 676, 519, 10821, 1153, 9371, 269, 20985, 7341, 5473, 2199, 3906, 267, 2686, 7740, 267, 543, 14223, 2516, 666, 1683, 2922, 5624, 585, 7067, 543, 16882, 267, 4543, 15000, 6330, 4101, 6381, 971, 607, 2502, 609, 519, 595, 7968, 780, 14483, 12367, 543, 7464, 21509, 6201, 1384, 13146, 1382, 814, 12006, 519, 2956, 540, 15520, 17841, 4485, 950, 2324, 609, 7087, 5095, 7231, 609, 29076, 8194, 31827, 689, 7810, 2853, 899, 10821, 3506, 269, 6270, 2409, 11168, 11455, 8171, 21214, 5289, 267, 3929, 267, 2168, 267, 543, 7214, 7516, 267, 9301, 519, 2189, 9342, 7915, 1369, 3309, 7087, 4529, 780, 2690, 3236, 267, 519, 2817, 10418, 585, 18266, 543, 26532, 16624, 630, 301, 6311, 305, 264, 3091, 2200, 2966, 547, 3895, 7067, 543, 2069, 827, 10821, 3506, 269, 3958, 267, 3875, 6237, 3292, 2709, 7463, 13508, 2533, 23695, 12799, 547, 519, 3982, 2115, 540, 10821, 1153, 15000, 543, 741, 18939, 780, 6962, 1384, 8777, 1645, 609, 519, 1763, 7808, 3427, 5871, 15232, 32237, 630, 4753, 303, 264, 3340, 6297, 7156, 540, 1761, 4220, 543, 1646, 540, 862, 839, 23847, 1981, 2359, 2994, 269, 1635, 5807, 4656, 540, 3140, 2796, 267, 1620, 519, 3483, 540, 519, 595, 7968, 267, 7114, 543, 12570, 4220, 267, 7598, 8825, 3800, 267, 543, 16107, 2146, 6278, 543, 1489, 5121, 267, 6267, 666, 3565, 25006, 547, 5571, 3646, 2509, 21047, 543, 7067, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 28657, 779, 6196, 652, 3689, 8315, 1715, 4944, 1653, 910, 4419, 532, 715, 340, 340, 7302, 1695, 5991, 592, 628, 268, 1695, 339, 2094, 476, 3192, 275, 8225, 23549, 25357, 8605, 688, 553, 317, 328, 285, 21542, 968, 19950, 532, 5240, 892, 5292, 269, 476, 3451, 910, 3143, 269, 476, 2641, 910, 5239, 476, 866, 267, 476, 1220, 277, 19833, 15716, 3143, 269, 476, 6110, 5325, 278, 10602, 454, 301, 340, 340, 7302, 1695, 5991, 592, 628, 16840, 693, 1763, 7808, 3427, 5590, 25557, 7040, 670, 792, 902, 1635, 2961, 5055, 631, 1601, 267, 12794, 27691, 559, 628, 4149, 320, 27752, 26551, 1107, 10241, 585, 519, 1763, 7808, 3427, 5871, 15232, 32237, 630, 4753, 303, 264, 1223, 581, 5950, 538, 519, 5614, 540, 476, 1220, 278, 533, 2056, 519, 13170, 540, 10470, 2066, 4516, 2687, 547, 4077, 331, 2940, 5617, 548, 879, 267, 10615, 540, 519, 13909, 540, 3689, 8315, 630, 28425, 301, 264, 4095, 1763, 7808, 12140, 5149, 269, 5617, 548, 879, 1705, 13657, 267, 968, 2005, 779, 2182, 547, 2161, 875, 1279, 621, 786, 2965, 1491, 1317, 649, 1810, 1406, 917, 875, 1279, 1237, 10094, 676, 519, 5480, 786, 610, 1053, 786, 1491, 1848, 27051, 4557, 715, 340, 340, 7302, 1695, 5991, 592, 628, 268, 1695, 339, 14612, 547, 519, 2487, 7040, 670, 792, 902, 538, 26551, 5239, 476, 1015, 268, 1321, 547, 7198, 543, 2671, 741, 4145, 269, 4340, 547, 519, 4095, 1763, 7808, 12140, 5590, 25557, 24722, 7040, 3896, 267, 968, 4263, 519, 5873, 902, 267, 519, 30271, 786, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 590, 23852, 29803, 1315, 8881, 1299, 8232, 1315, 4937, 1315, 11485, 10495, 543, 5004, 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, 1012, 4197, 5124, 8943, 585, 18140, 1154, 692, 1103, 713, 1770, 267, 649, 786, 5490, 883, 513, 4062, 540, 5124, 3009, 602, 568, 1031, 585, 28321, 1239, 269, 901, 3009, 3096, 519, 2387, 31596, 319, 543, 2387, 3901, 15003, 319, 8021, 267, 799, 616, 4122, 1031, 585, 10230, 26398, 543, 28321, 538, 5124, 267, 6606, 269, 1403, 596, 10093, 1405, 8704, 891, 8021, 2943, 267, 596, 666, 798, 865, 1210, 10398, 1384, 3499, 7090, 454, 26921, 3888, 11885, 21267, 454, 7884, 5629, 8704, 267, 596, 666, 1104, 891, 8021, 883, 707, 5124, 7097, 607, 5205, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 7884, 2162, 18140, 1154, 513, 18948, 692, 763, 1101, 851, 540, 519, 3009, 568, 1031, 547, 4729, 513, 6476, 540, 1079, 14449, 267, 2387, 340, 272, 319, 543, 2387, 340, 273, 18269, 1452, 14449, 616, 27229, 14249, 540, 10230, 1239, 780, 3499, 7090, 454, 2745, 2891, 5522, 31857, 1964, 691, 26666, 10371, 23528, 338, 516, 267, 562, 516, 815, 5286, 6230, 21983, 28186, 263, 5286, 30784, 1052, 6025, 17484, 7933, 339, 266, 272, 12684, 19049, 267, 476, 273, 265, 12639, 32564, 265, 299, 21610, 16732, 12639, 15126, 263, 9792, 18217, 4297, 266, 272, 4917, 14808, 267, 4949, 338, 815, 12301, 16553, 30831, 263, 272, 267, 274, 994, 7884, 763, 2387, 12639, 6230, 21983, 28186, 319, 1599, 568, 1031, 547, 1711, 513, 14328, 7470, 856, 540, 1079, 2016, 835, 8820, 14249, 269, 3371, 267, 621, 568, 1031, 547, 1711, 513, 7470, 540, 942, 630, 319, 338, 516, 319, 264, 543, 2230, 630, 319, 333, 516, 319, 264, 2418, 269, 634, 2387, 11357, 30831, 319, 1599, 568, 1287, 1031, 547, 1711, 513, 4137, 609, 1614, 1016, 30831, 780, 9202, 267, 519, 3009, 13602, 26048, 13602, 540, 2387, 340, 272, 319, 543, 2387, 340, 273, 319, 593, 519, 1101, 1079, 1016, 30831, 267, 543, 513, 26048, 4729, 540, 519, 6207, 3017, 1063, 2387, 340, 272, 319, 543, 2387, 340, 273, 319, 593, 519, 3791, 1016, 7120, 780, 3499, 7090, 454, 14369, 271, 815, 4949, 338, 314, 271, 4940, 4186, 712, 325, 4433, 516, 267, 562, 516, 267, 579, 272, 11053, 267, 476, 2004, 267, 4699, 777, 284, 10823, 10947, 6831, 14090, 2891, 572, 1143, 545, 27363, 14369, 272, 815, 4949, 338, 314, 272, 4940, 4186, 712, 325, 4433, 516, 267, 562, 516, 267, 579, 273, 11053, 267, 476, 2004, 267, 4699, 777, 284, 10823, 10947, 6831, 14090, 2891, 572, 1143, 545, 27363, 18528, 815, 5286, 269, 11274, 26086, 272, 268, 340, 273, 994, 14369, 273, 815, 4949, 338, 314, 273, 4940, 4186, 712, 325, 4433, 516, 267, 562, 516, 267, 886, 11053, 267, 476, 2004, 267, 4699, 777, 284, 10823, 10947, 6831, 14090, 2891, 572, 1143, 545, 27363, 7884, 763, 2387, 4186, 712, 325, 319, 1599, 568, 1031, 547, 1711, 4904, 26048, 13602, 269, 634, 2387, 9492, 777, 319, 4661, 568, 1031, 547, 14574, 519, 2681, 4786, 585, 519, 4729, 269, 634, 2387, 1326, 6831, 14090, 319, 1599, 568, 1031, 547, 1205, 513, 2681, 4786, 689, 21267, 781, 4015, 540, 2681, 7851, 780, 763, 3009, 1287, 8591, 2681, 321, 1513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 289, 6350, 17632, 267, 19934, 264, 1724, 811, 9343, 454, 3674, 13398, 606, 10995, 3926, 888, 288, 13398, 568, 519, 2547, 10995, 540, 519, 1614, 8800, 3457, 269, 898, 5713, 607, 513, 4276, 1448, 585, 519, 5904, 630, 663, 824, 3457, 971, 607, 23252, 264, 538, 513, 3060, 269, 589, 13398, 3274, 10596, 2059, 519, 6808, 621, 11392, 547, 519, 5904, 4448, 547, 621, 269, 0, 5522, 1218, 18714, 269, 853, 2114, 21933, 1664, 569, 26799, 547, 16245, 267, 588, 565, 976, 1459, 610, 15534, 267, 711, 530, 597, 344, 269, 27817, 9244, 3897, 6973, 545, 267, 25062, 3762, 609, 3476, 543, 9962, 533, 4883, 2801, 982, 15417, 3283, 267, 25062, 12955, 1394, 538, 5162, 267, 15417, 10770, 267, 6960, 880, 267, 2182, 2989, 269, 8891, 1470, 548, 540, 25062, 6978, 1309, 269, 476, 272, 270, 1015, 1700, 272, 270, 276, 3259, 540, 16405, 267, 4620, 1470, 548, 540, 15417, 6978, 13008, 1226, 2718, 3259, 540, 16405, 267, 13279, 22224, 267, 6414, 532, 607, 512, 5268, 641, 16104, 936, 5162, 282, 15466, 15985, 956, 476, 273, 267, 14694, 267, 561, 684, 622, 538, 3444, 3296, 269, 2349, 1228, 14248, 328, 10364, 630, 3122, 850, 264, 610, 7522, 569, 1073, 14075, 547, 21933, 766, 25544, 630, 325, 1068, 850, 1070, 533, 4883, 622, 1790, 4883, 520, 604, 573, 610, 3006, 533, 4883, 622, 609, 22725, 4733, 533, 4883, 2801, 538, 15417, 3762, 267, 7930, 547, 5176, 23589, 569, 4389, 1253, 958, 547, 533, 4883, 520, 604, 573, 30085, 267, 25062, 19059, 10786, 17675, 269, 623, 4883, 2801, 711, 24808, 547, 986, 577, 529, 267, 10126, 19114, 3003, 630, 3122, 850, 5148, 9938, 2711, 533, 4883, 2801, 630, 13367, 531, 8424, 264, 7494, 4389, 267, 5089, 850, 267, 31164, 282, 1942, 2801, 13719, 569, 9240, 3437, 740, 1314, 6053, 267, 9240, 7174, 711, 6024, 689, 986, 577, 529, 547, 1942, 2801, 282, 1802, 618, 15534, 593, 1312, 7252, 610, 1232, 573, 28204, 4552, 344, 705, 1314, 6053, 269, 26890, 1231, 1863, 267, 2241, 269, 590, 9461, 538, 476, 272, 4737, 1063, 4571, 1026, 543, 14345, 267, 13008, 5180, 267, 4988, 676, 2182, 2989, 2847, 5193, 8930, 3534, 14345, 282, 967, 639, 807, 22514, 580, 658, 267, 21083, 267, 10770, 855, 711, 3362, 2938, 538, 9921, 3762, 269, 1975, 2803, 3039, 880, 267, 609, 1970, 26642, 543, 8792, 20192, 3729, 2275, 2077, 622, 2609, 269, 1535, 815, 476, 2412, 563, 22139, 22465, 4525, 563, 12385, 974, 25458, 807, 568, 835, 540, 1896, 25281, 1634, 547, 4558, 20566, 9274, 538, 1279, 1790, 619, 11962, 4620, 1470, 548, 13279, 630, 339, 5268, 641, 16104, 264, 630, 310, 269, 670, 269, 25538, 1676, 12789, 269, 543, 667, 269, 631, 269, 9652, 476, 2735, 274, 1040, 5899, 3578, 11340, 614, 529, 4024, 6577, 578, 568, 513, 2663, 4630, 7716, 540, 5899, 3578, 11340, 614, 529, 2480, 641, 10008, 543, 8754, 24648, 527, 1493, 269, 623, 339, 699, 26385, 681, 2378, 1149, 4302, 267, 1256, 1498, 621, 568, 519, 9510, 16048, 2012, 267, 814, 1044, 15653, 538, 3870, 540, 4223, 974, 25458, 807, 563, 11854, 2886, 476, 274, 630, 272, 538, 519, 18508, 1040, 0, 22416, 2264, 16102, 568, 1271, 609, 14621, 547, 7863, 3054, 689, 26099, 8290, 269, 1975, 344, 2264, 568, 2110, 585, 968, 7356, 5534, 3301, 892, 1107, 6030, 610, 3301, 602, 666, 3441, 707, 2780, 676, 3274, 18731, 1062, 6119, 610, 3190, 532, 519, 707, 1036, 3588, 269, 7756, 5686, 540, 18453, 543, 17351, 3292, 666, 2907, 581, 1459, 593, 707, 18376, 267, 1519, 912, 307, 549, 13568, 8290, 616, 3301, 3156, 602, 4480, 3755, 538, 547, 7938, 9231, 569, 2324, 873, 269, 1358, 1419, 2097, 607, 1863, 2264, 585, 23842, 267, 543, 1082, 540, 1346, 5563, 1205, 741, 1378, 7270, 547, 13587, 633, 1004, 543, 1118, 2724, 689, 873, 269, 589, 19800, 568, 606, 11763, 1544, 602, 19082, 998, 513, 15291, 3060, 3274, 676, 16459, 676, 3294, 593, 3606, 3292, 543, 533, 14369, 1510, 519, 6876, 540, 519, 1439, 3593, 563, 309, 21905, 786, 581, 10299, 998, 4757, 17960, 267, 593, 4609, 540, 16091, 6191, 267, 610, 1256, 998, 28085, 2139, 269, 1358, 666, 581, 10299, 998, 3060, 23252, 4448, 547, 1949, 267, 543, 1256, 998, 12616, 1949, 269, 634, 5354, 540, 616, 7941, 676, 4098, 15737, 543, 1357, 2861, 27589, 602, 616, 2693, 547, 2270, 873, 267, 855, 666, 849, 581, 3262, 950, 707, 2780, 3568, 513, 4057, 3060, 4276, 607, 1134, 607, 4636, 3498, 8704, 593, 602, 563, 22416, 2264, 666, 849, 3468, 707, 1357, 11422, 693, 1357, 3817, 6220, 17351, 1239, 971, 607, 891, 1336, 593, 1357, 4609, 602, 3895, 22342, 2264, 543, 740, 2264, 269, 1452, 666, 2270, 18858, 329, 753, 267, 17494, 267, 610, 5310, 8290, 543, 616, 849, 2111, 547, 798, 1896, 30380, 2238, 269, 1280, 1383, 2073, 789, 666, 21102, 1344, 689, 707, 1357, 11422, 610, 6494, 856, 621, 585, 606, 3544, 5169, 269, 1358, 666, 849, 771, 762, 519, 4027, 540, 519, 1357, 11422, 267, 2495, 602, 707, 2780, 1223, 7654, 581, 6534, 547, 811, 6285, 563, 300, 1446, 14179, 550, 3292, 666, 849, 581, 1031, 547, 4323, 824, 3292, 593, 707, 2780, 269, 589, 1906, 1806, 540, 713, 1331, 912, 763, 1114, 5686, 540, 18453, 799, 1522, 581, 8704, 593, 707, 2780, 616, 1360, 1114, 689, 835, 1776, 269, 1403, 596, 6999, 547, 581, 9580, 12023, 689, 782, 5686, 540, 5563, 267, 1287, 596, 786, 2154, 513, 3301, 602, 786, 4894, 519, 1585, 2010, 540, 5739, 6030, 689, 707, 19766, 7473, 2207, 269, 1411, 666, 946, 606, 4550, 2173, 531, 2264, 1982, 585, 713, 1808, 3483, 563, 1607, 1826, 540, 1982, 666, 581, 22434, 689, 519, 5769, 610, 11751, 2094, 4647, 762, 3301, 3292, 269, 898, 5036, 909, 3294, 593, 707, 2123, 2780, 543, 14509, 998, 707, 6119, 543, 30397, 782, 519, 6119, 543, 3156, 602, 621, 7959, 547, 581, 3413, 21719, 267, 8924, 7666, 728, 3820, 270, 1492, 1532, 652, 2173, 531, 2264, 3491, 339, 1254, 1287, 3274, 18788, 891, 1004, 835, 676, 835, 547, 1118, 707, 2780, 27507, 540, 873, 563, 2467, 616, 1585, 2010, 540, 4550, 2173, 531, 2264, 3301, 269, 634, 1034, 2442, 2010, 616, 14640, 1606, 6853, 2264, 267, 2473, 21510, 306, 6853, 572, 267, 623, 732, 1729, 19868, 545, 14640, 306, 6853, 267, 5689, 2264, 3528, 5052, 543, 1975, 344, 15318, 9612, 543, 20121, 5797, 563, 306, 6853, 2264, 568, 1114, 689, 519, 824, 18453, 607, 621, 1281, 711, 1028, 841, 707, 2780, 269, 5502, 267, 621, 15920, 856, 1239, 827, 707, 19855, 6208, 865, 602, 6994, 23924, 945, 1616, 547, 1445, 593, 596, 666, 798, 18867, 269, 634, 811, 1360, 6213, 707, 2123, 5013, 568, 267, 519, 811, 2693, 6994, 23924, 786, 3077, 596, 543, 3976, 1118, 741, 2472, 3015, 547, 596, 269, 1975, 344, 2264, 5531, 338, 713, 1239, 543, 1310, 602, 15920, 602, 547, 3260, 619, 563, 306, 6853, 2264, 568, 2356, 8704, 16924, 676, 519, 8227, 540, 519, 7783, 2780, 269, 11048, 2073, 952, 596, 1810, 1406, 723, 1022, 2186, 540, 1702, 827, 519, 1318, 1259, 547, 798, 713, 267, 1287, 972, 616, 1863, 2081, 547, 4894, 621, 563, 306, 6853, 2264, 543, 740, 2264, 666, 1028, 841, 513, 2647, 3099, 540, 3457, 267, 971, 607, 281, 8837, 5665, 1949, 267, 26914, 338, 267, 543, 5985, 11436, 269, 1411, 666, 9718, 3054, 676, 9001, 835, 540, 519, 1082, 4550, 1606, 6853, 2264, 3301, 602, 666, 581, 1336, 2228, 563, 2467, 616, 513, 1297, 540, 1863, 4550, 1606, 6853, 2264, 3301, 2139, 267, 855, 596, 991, 547, 1118, 2386, 596, 723, 782, 519, 1271, 1344, 971, 607, 2012, 267, 2232, 267, 31705, 3556, 1297, 267, 543, 2272, 25727, 6619, 540, 23842, 3301, 547, 707, 26099, 269, 1703, 616, 849, 6976, 3301, 3292, 602, 786, 1831, 22434, 563, 12901, 328, 1606, 6853, 2264, 4027, 1281, 711, 1152, 7500, 1996, 5689, 2264, 269, 898, 849, 1568, 1996, 824, 3029, 540, 8290, 267, 18858, 329, 753, 543, 18858, 13568, 8290, 9640, 269, 16480, 2094, 621, 1223, 711, 607, 1455, 607, 1975, 344, 16292, 267, 621, 3884, 1406, 7487, 602, 2500, 538, 9427, 713, 269, 769, 824, 1913, 267, 621, 2731, 568, 3274, 3730, 1996, 513, 1297, 540, 4130, 21092, 6937, 269, 0, 8139, 26744, 569, 16508, 18816, 543, 4706, 16473, 633, 21474, 454, 16449, 782, 2010, 540, 9632, 6057, 267, 5626, 543, 3929, 6057, 568, 519, 1034, 1455, 543, 18094, 3390, 269, 769, 1249, 267, 3929, 6057, 568, 849, 519, 23698, 547, 3950, 607, 1419, 4422, 11389, 19959, 269, 9521, 2883, 610, 4638, 14226, 267, 519, 957, 540, 3929, 6057, 568, 711, 15069, 2808, 7803, 538, 2470, 269, 2552, 9009, 547, 2168, 6057, 267, 3929, 6057, 3085, 1406, 4734, 1022, 2168, 2963, 269, 769, 971, 513, 2013, 267, 1920, 2818, 543, 824, 6068, 3283, 540, 513, 9972, 949, 711, 723, 1022, 2856, 952, 621, 779, 9648, 607, 789, 1810, 1406, 1205, 547, 7198, 621, 20250, 563, 15650, 540, 16508, 18816, 454, 10387, 10899, 6057, 568, 950, 513, 1268, 6411, 538, 513, 1259, 602, 5012, 513, 9972, 547, 3929, 1928, 543, 7092, 269, 6270, 2587, 340, 880, 540, 513, 9972, 666, 1459, 3294, 538, 513, 3099, 540, 2081, 899, 8401, 1145, 267, 989, 2787, 267, 18354, 267, 610, 4250, 269, 20450, 540, 3929, 6057, 666, 2901, 581, 18532, 610, 16662, 30102, 282, 621, 5673, 2436, 519, 705, 12528, 4941, 547, 10413, 513, 9972, 779, 4664, 610, 952, 646, 610, 1352, 729, 22350, 14129, 543, 31464, 569, 561, 14414, 856, 269, 16508, 6057, 666, 1491, 1079, 3029, 281, 11913, 543, 26068, 563, 14300, 540, 7638, 4472, 16508, 18816, 454, 268, 962, 2454, 543, 3458, 5446, 454, 268, 774, 17816, 610, 5910, 2056, 547, 2800, 519, 9972, 454, 268, 6184, 738, 532, 267, 2012, 2275, 16226, 267, 543, 28457, 532, 454, 268, 32695, 547, 513, 9972, 607, 952, 646, 610, 1352, 941, 513, 1126, 454, 268, 21150, 1551, 23035, 519, 9972, 538, 4395, 540, 1866, 454, 268, 6970, 6748, 16203, 543, 13347, 1154, 4606, 454, 268, 9861, 1611, 543, 1289, 748, 454, 268, 2349, 5446, 543, 1085, 1901, 2998, 908, 454, 14300, 540, 6348, 16812, 16508, 18816, 454, 268, 23239, 2056, 547, 2014, 2168, 2800, 454, 268, 29179, 14980, 2126, 454, 268, 1772, 565, 908, 513, 9972, 689, 1866, 454, 268, 10163, 878, 1154, 513, 9972, 689, 1514, 1944, 454, 268, 7799, 1746, 1569, 547, 1216, 267, 1426, 267, 610, 1256, 19880, 454, 268, 6164, 532, 513, 9972, 607, 952, 646, 610, 1352, 941, 513, 1126, 454, 268, 670, 4575, 610, 2921, 2476, 2123, 28378, 454, 22546, 338, 540, 16508, 18816, 454, 7712, 519, 6057, 568, 1644, 547, 4664, 543, 6530, 267, 922, 2360, 616, 1447, 2693, 547, 581, 3254, 9308, 269, 3502, 6005, 1022, 8965, 2242, 949, 711, 8209, 5365, 6057, 267, 855, 707, 6068, 835, 786, 1745, 13943, 538, 513, 1880, 1268, 779, 2754, 563, 4913, 267, 952, 707, 6068, 835, 2982, 1896, 8965, 2242, 15587, 267, 621, 8612, 602, 646, 610, 1352, 568, 7680, 513, 6024, 957, 540, 6057, 269, 11408, 2638, 609, 513, 4387, 610, 513, 18673, 547, 2697, 519, 4191, 540, 3929, 6057, 269, 9282, 1169, 9972, 949, 13789, 8335, 856, 540, 971, 6057, 267, 519, 1739, 616, 930, 4191, 602, 5815, 3929, 6057, 563, 268, 28246, 4160, 543, 4250, 454, 268, 12870, 543, 15639, 454, 268, 674, 745, 1598, 566, 543, 989, 2787, 454, 268, 23281, 540, 27303, 1145, 543, 27945, 1145, 454, 268, 19768, 540, 1719, 543, 15131, 454, 268, 769, 1464, 547, 1118, 3664, 454, 268, 18461, 902, 540, 2790, 9636, 543, 1780, 2032, 454, 268, 22226, 543, 8965, 2242, 0, 2171, 1459, 513, 2203, 540, 635, 8767, 7452, 5827, 540, 1138, 6819, 519, 6384, 1369, 519, 1101, 1906, 9937, 540, 5998, 540, 519, 28661, 2627, 269, 10765, 7403, 676, 519, 717, 1778, 8177, 1323, 26087, 518, 543, 28545, 6452, 636, 15975, 543, 1290, 8767, 18520, 594, 517, 7136, 1323, 26087, 518, 7405, 593, 14472, 24297, 1397, 602, 519, 13540, 32307, 2770, 27918, 7452, 5536, 609, 11188, 657, 885, 1657, 476, 2004, 2600, 543, 7306, 909, 547, 693, 2547, 6515, 630, 293, 592, 548, 1696, 620, 269, 476, 1001, 276, 321, 282, 15585, 1495, 328, 1696, 620, 269, 476, 1001, 276, 282, 5576, 592, 345, 1696, 620, 269, 476, 1001, 276, 1040, 4825, 4471, 1998, 540, 519, 2168, 3601, 540, 891, 5536, 3340, 513, 2203, 540, 519, 2500, 4229, 12044, 741, 6384, 269, 3371, 267, 649, 1459, 513, 2203, 5827 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 276, 7436, 269, 901, 6920, 602, 476, 2004, 260, 540, 519, 1053, 538, 519, 1239, 630, 328, 4318, 269, 476, 276, 1053, 264, 723, 20639, 2630, 476, 4391, 269, 276, 7436, 543, 476, 2004, 260, 540, 1053, 723, 20639, 811, 982, 476, 4391, 269, 276, 7436, 269, 3776, 2013, 1383, 568, 3833, 1507, 865, 952, 596, 2461, 8049, 267, 596, 666, 512, 958, 543, 6166, 602, 1152, 476, 276, 1053, 723, 20639, 2630, 476, 4391, 269, 276, 7436, 780, 271, 260, 3338, 693, 476, 4029, 7436, 799, 267, 952, 596, 5469, 568, 519, 9803, 6060, 538, 519, 1239, 269, 769, 14287, 267, 519, 476, 1911, 628, 30878, 568, 693, 476, 4366, 7436, 799, 568, 519, 5207, 6060, 538, 519, 1305, 269, 901, 568, 875, 519, 8537, 30878, 1568, 282, 519, 9803, 543, 5207, 2418, 540, 519, 3892, 1118, 519, 1283, 543, 5377, 2600, 3796, 269, 1473, 1204, 1302, 267, 476, 4029, 7436, 1118, 476, 7830, 260, 543, 476, 4366, 7436, 1118, 476, 9834, 260, 952, 649, 979, 676, 519, 6871, 1062, 780, 1607, 568, 1946, 596, 1131, 6999, 585, 519, 30878, 547, 6749, 952, 596, 1185, 513, 9157, 981, 1317, 952, 1100, 835, 729, 2111, 547, 6060, 1360, 1164, 267, 519, 5207, 6913, 1665, 1131, 1831, 476, 1911, 260, 543, 519, 1964, 540, 519, 7436, 1131, 581, 19486, 9935, 780, 1012, 6396, 1948, 273, 1107, 4635, 25783, 290, 28718, 4041, 269, 2562, 290, 9577, 692, 300, 1549, 539, 4505, 267, 649, 5143, 596, 602, 519, 25783, 290, 28718, 4041, 269, 2562, 290, 1599, 814, 1044, 5189, 607, 513, 10682, 585, 519, 25783, 290, 28718, 4041, 1599, 269, 4475, 621, 568, 1100, 1114, 689, 519, 25783, 290, 28718, 4041, 1599, 269, 634, 10682, 1185, 2965, 3144, 1747, 547, 7936, 856, 519, 835, 1599, 883, 922, 1079, 8371, 267, 8537, 543, 12600, 780, 6546, 568, 1946, 649, 3580, 581, 1210, 519, 1482, 4214, 547, 1174, 519, 25783, 290, 28718, 4041, 269, 2562, 290, 1599, 1107, 621, 2164, 538, 519, 737, 628, 30878, 1141, 737, 2115, 547, 581, 538, 519, 2039, 476, 271, 1107, 476, 272, 630, 528, 476, 271, 260, 547, 476, 1911, 8472, 538, 13254, 780, 763, 4542, 1031, 1934, 585, 12719, 519, 476, 2004, 628, 30878, 609, 519, 25783, 290, 28718, 4041, 269, 2562, 290, 1599, 568, 519, 1482, 607, 519, 835, 1031, 4505, 1384, 319, 284, 25807, 290, 28718, 4041, 269, 2562, 290, 18154, 274, 281, 290, 1321, 267, 294, 274, 23375, 692, 2171, 2461, 1210, 519, 1482, 2039, 595, 274, 281, 290, 1321, 609, 519, 7436, 269, 1656, 585, 4946, 737, 538, 519, 2034, 9936, 540, 519, 1599, 267, 649, 2461, 2921, 519, 1871, 538, 717, 274, 1775, 4318, 269, 476, 2004, 10065, 901, 1259, 596, 666, 1689, 519, 1871, 538, 717, 274, 547, 1205, 519, 3077, 30878, 630, 324, 3052, 269, 476, 1839, 628, 610, 476, 4037, 628, 30878, 6393, 763, 476, 2004, 260, 30878, 814, 1044, 17223, 607, 476, 4391, 269, 276, 780, 9616, 602, 519, 2600, 3796, 7229, 676, 519, 25783, 290, 28718, 4041, 269, 2562, 290, 1599, 543, 519, 25783, 290, 28718, 4041, 1599, 616, 519, 1482, 780, 1103, 922, 10305, 267, 519, 1079, 5018, 3252, 616, 9838, 607, 519, 25783, 290, 28718, 4041, 1599, 1152, 20039, 585, 519, 8537, 2460, 269, 3767, 1577, 779, 1847, 593, 547, 519, 12600, 2460, 543, 1294, 1018, 3017, 602, 2306, 547, 519, 30878, 9273, 780, 1012, 6396, 1948, 274, 1107, 4635, 25783, 290, 28718, 4041, 9950, 311, 290, 9577, 692, 2691, 7384, 2600, 3796, 538, 9185, 267, 596, 991, 547, 6430, 799, 1505, 596, 1616, 547, 9772, 607, 2600, 3796, 666, 849, 581, 17223, 1210, 519, 25783, 290, 28718, 4041, 9950, 311, 290, 1599, 780, 1607, 1599, 7024, 519, 2016, 30878, 585, 513, 10471, 269, 901, 851, 568, 519, 1482, 607, 519, 25783, 290, 28718, 4041, 269, 2562, 290, 1599, 269, 634, 851, 602, 568, 1114, 568, 519, 17181, 540, 519, 2418, 476, 271, 543, 476, 272, 607, 737, 780, 11997, 267, 513, 1871, 1063, 476, 271, 543, 476, 272, 666, 581, 13859, 607, 737, 538, 519, 4542, 780, 2171, 3580, 1491, 602, 12777, 543, 5734, 621, 4666, 4099, 609, 713, 4542, 1384, 319, 284, 25807, 290, 28718, 4041, 9950, 311, 290, 18154, 274, 281, 290, 1321, 267, 294, 274, 23375, 692, 2026, 2944, 538, 519, 824, 1079, 3252, 267, 649, 2811, 2921, 519, 1482, 2039, 607, 519, 10471, 1775, 4318, 269, 595, 274, 281, 290, 1321, 543, 4466, 519, 3844, 30878, 630, 2004, 628, 17107, 763, 25783, 290, 28718, 4041, 9950, 311, 290, 1599, 7024, 519, 476, 2004, 628, 30878, 607, 476, 4391, 269, 276, 7436, 269, 9894, 596, 4063, 875, 782, 1614, 3252, 723, 8507, 538, 519, 1482, 476, 2004, 628, 30878, 2496, 3086, 1577, 779, 5173, 519, 30878, 1210, 476, 271, 260, 1384, 2171, 3893, 513, 1948, 301, 9331, 256, 5470, 543, 950, 649, 5173, 519, 476, 1911, 628, 30878, 1210, 519, 25783, 290, 28718, 4041, 9950, 311, 290, 1599, 267, 649, 1205, 1384, 5194, 1948, 301, 9331, 256, 5470, 269, 1306, 649, 1767, 4505, 267, 596, 3112, 946, 476, 271, 543, 476, 272, 630, 528, 476, 271, 260, 543, 476, 1911, 8472, 547, 5173, 2600, 3796, 538, 519, 25783, 290, 28718, 4041, 9950, 311, 290, 1599, 269, 901, 17181, 851, 540, 519, 1599, 3762, 856, 519, 1283, 543, 5377, 7475, 540, 519, 1239, 780, 2791, 949, 1631, 581, 11842, 1946, 1131, 596, 946, 513, 1599, 602, 3085, 1406, 4125, 519, 1283, 543, 2766, 540, 519, 1239, 269, 898, 666, 581, 4023, 547, 946, 519, 25783, 290, 28718, 4041, 9950, 311, 290, 547, 23868, 519, 1439, 2418, 607, 789, 949, 581, 513, 1875, 1922, 7528, 550, 12136, 780, 2252, 1152, 835, 2875, 814, 20639, 519, 5207, 7436, 543, 835, 2875, 814, 20639, 519, 9803, 7436, 267, 519, 25783, 290, 28718, 4041, 9950, 311, 290, 1599, 666, 581, 1031, 547, 1205, 519, 2600, 3796, 1141, 519, 20825, 538, 519, 1239, 616, 16437, 518, 780, 289, 792, 538, 2247, 267, 2705, 267, 602, 2094, 519, 1283, 2338, 616, 1835, 684, 3481, 18746, 267, 519, 5377, 2338, 538, 519, 3892, 786, 849, 581, 1835, 684, 3481, 16057, 267, 2810, 519, 5580, 30878, 543, 21177, 519, 2539, 30878, 780, 2690, 1631, 267, 649, 666, 1152, 18992, 547, 12719, 519, 476, 1015, 628, 543, 476, 3445, 628, 2600, 3796, 693, 1034, 1384, 2791, 949, 581, 3206, 602, 2094, 476, 271, 260, 543, 476, 1911, 260, 616, 16934, 267, 15983, 649, 666, 1205, 519, 476, 272, 560, 543, 476, 4200, 628, 30878, 267, 1318, 286, 654, 3994, 269, 3502, 1152, 1281, 519, 25783, 290, 28718, 4041, 9950, 311, 290, 1599, 608, 11079, 519, 476, 271, 260, 543, 476, 1911, 9077, 855, 849, 11498, 602, 17181, 780, 1692, 1454, 519, 1599, 11498, 602, 17181, 5673, 593, 519, 1297, 540, 2418, 538, 519, 3892, 269, 3776, 1383, 814, 476, 1015, 2418, 538, 1297, 543, 649, 991, 693, 2547, 476, 280, 2418, 547, 1205, 519, 476, 3445, 628, 543, 476, 1015, 628, 2600, 3796, 269, 6684, 267, 596, 991, 476, 15886, 2418, 547, 5173, 519, 476, 4200, 269, 280, 628, 543, 476, 271, 269, 272, 560, 2600, 3796, 780, 2080, 779, 606, 2653, 1259, 547, 5173, 519, 3803, 2600, 3796, 630, 528, 519, 5207, 543, 9803, 2418, 540, 737, 264, 596, 666, 946, 2687, 547, 519, 1297, 540, 2418, 538, 707, 1239, 1384, 1892, 11612, 4554, 737, 281, 562, 14370, 333, 266, 272, 994, 1892, 8899, 652, 737, 281, 476, 272, 14370, 333, 266, 272, 2020, 333, 568, 519, 1297, 540, 2418, 538, 519, 3892, 269, 1403, 737, 568, 711, 1063, 891, 2418, 267, 519, 1599, 786, 2132, 519, 1948, 301, 9331, 256, 5470, 269, 1924, 1577, 779, 4019, 519, 8473, 1467, 737, 2418, 547, 938, 2013, 1383, 1384, 763, 4542, 649, 616, 1210, 585, 519, 9803, 737, 538, 938, 1383, 1384, 319, 284, 272, 14370, 1015, 266, 272, 23375, 692, 1607, 7024, 737, 607, 476, 271, 269, 271, 3445, 3445, 280, 6021, 692, 4517, 649, 3580, 946, 713, 4542, 585, 519, 5207, 1871, 540, 737, 609, 476, 1015, 2418, 538, 519, 3892, 1384, 319, 284, 1015, 14370, 1015, 266, 272, 23375, 692, 1607, 786, 2132, 519, 1871, 476, 271, 269, 3445, 280, 271, 3445, 11011, 692, 1012, 25783, 290, 28718, 4041, 269, 2562, 290, 5288, 25783, 290, 28718, 4041, 9950, 311, 290, 692, 1103, 1034, 2665, 267, 621, 1058, 581, 1434, 2614, 547, 946, 25783, 290, 28718, 4041, 269, 2562, 290, 269, 634, 6305, 3017, 1063, 1210, 519, 1079, 3252, 568, 519, 2039, 540, 737, 538, 519, 3252, 269, 769, 519, 25783, 290, 28718, 4041, 269, 2562, 290, 1599, 267, 519, 10421, 585, 737, 568, 547, 581, 1063, 476, 271, 543, 476, 1911, 538, 13254, 780, 4407, 713, 568, 849, 3020, 585, 519, 25783, 290, 28718, 4041, 9950, 311, 290, 1599, 267, 519, 3606, 17181, 568, 602, 540, 519, 1283, 543, 5377, 2418, 607, 737, 780, 2026, 596, 666, 1294, 2630, 267, 1256, 519, 476, 11011, 560, 543, 476, 280, 628, 2600, 3796, 616, 711, 2301, 762, 585, 476, 1015, 2418, 538, 519, 10471, 269, 609, 811, 2418, 538, 519, 10471, 267, 2362, 543, 2539, 2600, 3796, 786, 1376, 4742, 2301, 762, 780, 763, 3877, 540, 519, 5021, 543, 5934, 1871, 540, 737, 602, 666, 581, 1031, 538, 519, 25783, 290, 28718, 4041, 9950, 311, 290, 1599, 814, 1044, 5941, 1657, 269, 24641, 1022, 30878, 689, 476, 271, 260, 547, 476, 1911, 260, 666, 581, 7229, 1210, 519, 25783, 290, 28718, 4041, 269, 2562, 290, 1599, 780, 21008, 532, 519, 25739, 2418, 540, 519, 1079, 3252, 267, 4063, 602, 519, 476, 2004, 628, 30878, 568, 519, 1482, 538, 1312, 269, 634, 824, 2600, 3796, 8428, 543, 3262, 856, 547, 22771, 585, 519, 7508, 2212, 543, 2766, 2600, 3796, 780, 1607, 568, 1946, 596, 666, 1294, 476, 4366, 7436, 607, 519, 476, 1911, 628, 30878, 538, 519, 25783, 290, 28718, 4041, 269, 2562, 290, 1599, 543, 513, 2673, 476, 5325, 269, 276, 7436, 607, 519, 476, 3445, 628, 30878, 538, 519, 25783, 290, 28718, 4041, 9950, 311, 290, 1599, 780, 3528, 1631, 649, 2461, 4712, 547, 2015, 938, 2634, 512, 6150, 609, 2600, 3796, 543, 4126, 513, 1434, 2600, 540, 707, 2634, 814, 12842, 2221, 779, 3992, 269, 1284, 14437, 827, 12719, 2600, 3796, 543, 1018, 519, 30878, 3252, 538, 9185, 616, 782, 827, 269, 1703, 781, 849, 1900, 476, 273, 547, 30878, 9273, 952, 596, 1616, 519, 21159, 585, 1142, 6060, 607, 829, 519, 30878, 1062, 269, 1284, 3513, 2911, 827, 602, 930, 824, 942, 269, 19402, 1287, 267, 1175, 9185, 256, 0, 7072, 547, 10699, 545, 32243, 281, 9502, 267, 6201, 267, 543, 22062, 687, 692, 8139, 12945, 3952, 568, 1898, 585, 4896, 3238, 538, 7403, 543, 4320, 9273, 269, 901, 568, 513, 1770, 540, 6482, 1031, 547, 22945, 519, 4320, 269, 898, 568, 4122, 1031, 547, 2268, 519, 4390, 610, 2450, 540, 11149, 267, 11623, 267, 5656, 267, 543, 1585, 3615, 780, 1607, 2376, 786, 1683, 596, 267, 609, 519, 4214, 540, 12945, 3952, 267, 1806, 267, 7503, 2188, 267, 9819, 540, 2834, 543, 12150, 5546, 538, 12945, 905, 1115, 267, 543, 1806, 585, 1732, 8223, 269, 1924, 267, 1577, 779, 1376, 513, 3460, 547, 2150, 773, 519, 13655, 540, 10699, 545, 3952, 2439, 14240, 540, 10699, 545, 32243, 1384, 763, 1770, 540, 6482, 602, 4564, 519, 4320, 540, 513, 476, 274, 8820, 1843, 568, 1634, 607, 12945, 3952, 630, 1111, 23326, 1040, 898, 568, 6508, 689, 519, 1587, 540, 476, 274, 561, 10719, 7516, 281, 20099, 267, 8700, 267, 543, 4463, 269, 634, 6364, 4320, 568, 6829, 538, 12945, 905, 1115, 950, 476, 274, 5276, 7516, 616, 6027, 538, 905, 1115, 780, 763, 16754, 540, 10699, 545, 32243, 1384, 2414, 5173, 519, 4320, 538, 12945, 3952, 540, 513, 14328, 1843, 610, 2230, 1384, 290, 889, 545, 3952, 815, 700, 6398, 654, 6398, 670, 630, 21920, 267, 8700, 267, 543, 4463, 538, 3952, 2020, 3528, 14921, 519, 3259, 267, 8700, 267, 543, 4463, 540, 519, 1843, 610, 2230, 267, 782, 6027, 538, 3952, 267, 596, 666, 3489, 519, 4320, 538, 12945, 3952, 780, 15612, 908, 10699, 545, 32243, 585, 8617, 543, 7054, 10585, 25609, 1384, 2171, 666, 5173, 12945, 905, 1115, 540, 2834, 543, 12150, 5546, 676, 1114, 2409, 780, 19894, 5546, 1384, 19894, 5546, 723, 1134, 20452, 7516, 971, 607, 18695, 610, 14328, 929, 3359, 269, 1677, 5173, 519, 4320, 267, 3259, 267, 8700, 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 ]
[ 269, 4173, 7209, 729, 2182, 267, 4411, 267, 543, 943, 3415, 269, 2701, 729, 14678, 20247, 27419, 676, 2550, 543, 5234, 855, 1185, 1100, 23319, 875, 4896, 5433, 269, 4107, 540, 721, 20493, 547, 1200, 3068, 267, 5828, 2476, 267, 1500, 20868, 8188, 267, 610, 12758, 513, 9416, 1524, 938, 31462, 1846, 2507, 513, 8909, 569, 14902, 762, 3510, 563, 296, 5433, 562, 1021, 748, 607, 594, 9289, 952, 16910, 18333, 779, 7319, 13427, 12837, 543, 2250, 344, 1950, 542, 8507, 689, 1932, 1454, 12250, 1426, 543, 1166, 2803, 1417, 8654, 269, 16910, 18333, 729, 19220, 995, 267, 14669, 267, 543, 513, 6529, 2401, 585, 3652, 543, 6042, 269, 2701, 729, 14220, 602, 1352, 22821, 1406, 1500, 621, 547, 519, 1283, 540, 519, 17885, 554, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3682, 322, 2858, 1588, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 3281, 14601, 10263, 1315, 4937, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 513, 6505, 543, 13566, 4884, 1572, 14675, 6807, 267, 5030, 1079, 1655, 2828, 267, 7665, 543, 15039, 269, 1358, 941, 8049, 827, 3388, 1472, 873, 543, 6068, 1565, 1007, 1919, 256, 2290, 1554, 267, 1247, 4730, 2282, 741, 5172, 3529, 5264, 267, 789, 8068, 1945, 9490, 780, 257, 299, 1176, 2437, 4280, 7665, 267, 31153, 1010, 1274, 267, 834, 25585, 798, 1250, 10772, 1745, 782, 17808, 909, 3006, 12482, 299, 1176, 2219, 585, 513, 4090, 1354, 1065, 2391, 267, 834, 11039, 7665, 267, 938, 4703, 723, 5863, 2081, 540, 2921, 1416, 540, 2933, 256, 9894, 596, 917, 602, 938, 10772, 2965, 2973, 2933, 12482, 16655, 6743, 14281, 267, 834, 3725, 958, 286, 1809, 875, 12482, 257, 5978, 10772, 3132, 1274, 342, 1314, 799, 20637, 7452, 543, 824, 5536, 267, 5329, 873, 689, 2469, 2620, 3330, 938, 10772, 2437, 6045, 15039, 269, 834, 10190, 267, 950, 649, 2911, 610, 25261, 267, 519, 3350, 2337, 1847, 519, 1274, 342, 1314, 856, 7444, 3010, 9617, 1287, 267, 30985, 595, 1328, 267, 519, 8797, 2025, 22559, 829, 3481, 593, 513, 7404, 7936, 267, 16403, 539, 538, 267, 834, 6546, 781, 1318, 267, 3214, 256, 1656, 1210, 10412, 2220, 11274, 666, 7903, 519, 14589, 4514, 883, 519, 1274, 12324, 267, 4929, 2800, 547, 707, 10347, 552, 731, 5300, 3010, 30342, 19832, 676, 1018, 789, 4121, 267, 7665, 543, 15039, 4956, 547, 3262, 519, 2262, 2429, 14675, 6807, 269, 1717, 267, 1256, 1310, 7368, 21855, 267, 930, 1869, 29739, 593, 7738, 741, 10772, 609, 10412, 2220, 11274, 269, 901, 521, 5417, 2989, 7665, 543, 15039, 267, 945, 24714, 3025, 1131, 1174, 519, 2956, 540, 15603, 2470, 1491, 922, 1576, 780, 3080, 6397, 1554, 267, 1282, 513, 18979, 7088, 267, 4057, 6004, 269, 16399, 267, 945, 2760, 11074, 1210, 10412, 2220, 11274, 5103, 519, 21855, 267, 18417, 533, 12097, 1010, 552, 731, 5300, 1247, 3843, 547, 2973, 1010, 10772, 269, 3571, 1158, 10393, 4904, 609, 16563, 267, 1818, 1864, 8275, 519, 4644, 540, 18245, 519, 2067, 13300, 540, 1010, 1378, 1560, 269, 3245, 602, 1554, 4464, 267, 646, 12247, 539, 2760, 1586, 547, 15936, 609, 1010, 10772, 262, 1582, 268, 2193, 753, 532, 1184, 780, 1103, 3932, 267, 1498, 621, 1522, 3100, 15673, 532, 547, 1199, 323, 548, 609, 938, 4703, 262, 3252, 267, 1620, 741, 14960, 2636, 721, 547, 5660, 873, 1732, 269, 6884, 267, 6028, 1919, 4805, 666, 1291, 547, 8748, 8906, 11652, 7864, 10913, 1932, 256, 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, 2108, 3674, 621, 2556, 547, 2973, 707, 10772, 609, 10412, 2220, 11274, 888, 5591, 267, 1210, 10412, 2220, 11274, 547, 2973, 707, 10772, 568, 711, 5227, 607, 621, 666, 7903, 1274, 342, 1314, 2417, 883, 519, 1274, 12324, 543, 5732, 3441, 519, 552, 731, 5300, 269, 661, 1513, 616, 1582, 268, 2193, 22135, 267, 543, 1022, 4430, 1274, 342, 1314, 2356, 7575, 856, 540, 519, 1274, 6923, 14325, 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, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 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, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 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 ]
[ 0, 763, 8305, 334, 17209, 568, 606, 1898, 1907, 585, 1614, 8820, 8343, 540, 3615, 543, 15013, 269, 898, 2934, 1079, 5094, 2363, 788, 773, 806, 267, 3246, 513, 10822, 22811, 2070, 602, 5702, 13147, 923, 1480, 5075, 267, 3850, 585, 6899, 543, 15138, 8343, 269, 901, 1826, 540, 17209, 568, 3226, 3730, 585, 6313, 3677, 267, 32630, 267, 610, 1614, 8820, 15013, 971, 607, 7725, 267, 7786, 267, 610, 5547, 12545, 269, 853, 699, 334, 9145, 8554, 1419, 2709, 2539, 3172, 2305, 2157, 3379, 547, 7623, 9145, 8554, 855, 14133, 538, 3246, 513, 6626, 2361, 540, 2070, 543, 3178, 8226, 269, 4256, 11684, 1374, 2306, 873, 16832, 538, 4610, 899, 7350, 267, 20569, 267, 11418, 267, 543, 5663, 585, 4247, 602, 2154, 5730, 267, 1614, 8820, 14839, 269, 0, 2026, 513, 2385, 267, 596, 1616, 1018, 779, 1655, 585, 707, 1453, 269, 1879, 621, 2501, 547, 741, 5711, 1072, 543, 7303, 6689, 1286, 625, 267, 596, 949, 723, 4862, 540, 8988, 5603, 710, 21973, 630, 306, 5263, 264, 543, 5959, 13021, 1218, 269, 3657, 891, 5574, 2556, 286, 1548, 616, 789, 543, 1018, 779, 519, 3017, 1063, 873, 286, 1411, 949, 849, 581, 11842, 799, 2126, 568, 1318, 585, 707, 1126, 267, 610, 952, 835, 568, 1732, 982, 519, 824, 269, 2755, 1312, 540, 891, 5574, 666, 948, 2149, 707, 1126, 779, 4522, 267, 972, 616, 930, 1883, 3604, 1063, 519, 1079, 269, 5901, 2542, 547, 1451, 811, 827, 8988, 5603, 710, 21973, 5288, 269, 5959, 13021, 1218, 2336, 3963, 946, 8988, 5603, 710, 21973, 610, 5959, 13021, 1218, 888, 3080, 540, 519, 1101, 1919, 596, 949, 581, 11842, 607, 513, 2385, 568, 1946, 2901, 540, 891, 5574, 616, 2556, 269, 18234, 5603, 710, 21973, 543, 5959, 13021, 1218, 1312, 960, 547, 2149, 707, 1126, 779, 4522, 689, 19659, 267, 610, 1286, 625, 269, 28533, 885, 1106, 950, 4551, 538, 519, 5023, 1711, 7408, 602, 3548, 2476, 693, 519, 19596, 540, 513, 5694, 269, 634, 811, 3679, 972, 568, 267, 519, 5488, 19659, 666, 1106, 267, 865, 621, 779, 1271, 547, 1491, 15324, 3800, 547, 2149, 707, 1126, 779, 4522, 563, 19013, 267, 19659, 616, 2523, 1455, 538, 1453, 269, 4340, 547, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 2187, 268, 811, 982, 3368, 540, 1453, 6502, 476, 277, 268, 279, 723, 1185, 513, 13570, 538, 693, 2547, 835, 3119, 5694, 454, 268, 811, 982, 3368, 540, 10708, 6502, 476, 1321, 268, 866, 723, 1185, 513, 13570, 538, 693, 2547, 835, 8628, 5694, 454, 290, 822, 885, 666, 2014, 513, 3099, 540, 2042, 585, 1453, 269, 1358, 666, 1291, 547, 5694, 1928, 267, 7411, 4189, 543, 6340, 267, 543, 19659, 666, 1256, 3262, 547, 824, 4522, 952, 789, 616, 711, 5701, 269, 28533, 885, 666, 849, 2014, 519, 16349, 2530, 540, 3119, 4522, 267, 799, 666, 1291, 547, 2042, 971, 607, 32036, 3429, 543, 519, 991, 585, 26966, 545, 2126, 2663, 1524, 519, 4155, 269, 1280, 891, 4128, 267, 12963, 24782, 1419, 4363, 2921, 15324, 3800, 971, 607, 8988, 5603, 710, 21973, 610, 5959, 13021, 1218, 547, 2149, 707, 1126, 779, 4522, 689, 3384, 19659, 563, 22068, 591, 18924, 710, 12071, 528, 728, 630, 306, 5263, 264, 568, 513, 5277, 602, 779, 4294, 547, 519, 4522, 543, 2337, 547, 2061, 19659, 563, 22068, 591, 5603, 710, 21973, 267, 1634, 607, 590, 5263, 267, 568, 606, 2500, 1259, 585, 12963, 24782, 547, 948, 1521, 5694, 9178, 543, 2061, 6689, 1286, 625, 269, 590, 5263, 568, 513, 5277, 602, 3568, 8988, 267, 5603, 710, 630, 534, 5214, 7623, 1070, 543, 21973, 269, 898, 568, 1031, 607, 513, 22521, 2126, 585, 19659, 538, 4522, 267, 2523, 538, 1453, 543, 11361, 2550, 945, 723, 7411, 18460, 2757, 13570, 30836, 269, 634, 5277, 568, 4294, 547, 2127, 540, 519, 5694, 602, 616, 1034, 12155, 547, 5694, 9178, 267, 538, 1931, 547, 3247, 9178, 689, 10825, 2417, 269, 769, 1249, 267, 2090, 2303, 602, 7311, 713, 5277, 666, 26699, 5694, 9178, 602, 814, 2907, 13175, 543, 2061, 2104, 9178, 563, 2691, 4294, 547, 519, 2627, 540, 513, 13570, 267, 590, 5263, 1568, 538, 1896, 2081, 547, 948, 2061, 519, 11144, 540, 519, 9178, 543, 3895, 7067, 540, 519, 5694, 912, 268, 25095, 17424, 2962, 281, 18234, 568, 513, 1134, 8153, 27611, 8665, 267, 799, 2337, 547, 6146, 519, 4551, 3743, 585, 5694, 9178, 563, 268, 12071, 528, 728, 5305, 281, 12071, 528, 728, 568, 513, 7777, 602, 2337, 547, 7794, 519, 5694, 19596, 267, 1818, 621, 811, 11259, 547, 9178, 269, 634, 21973, 538, 590, 5263, 568, 7444, 5950, 936, 942, 267, 3246, 5571, 4027, 1996, 19659, 543, 19596, 11761, 563, 268, 10266, 8323, 281, 634, 5603, 710, 538, 590, 5263, 814, 606, 20469, 3601, 267, 799, 666, 1683, 7525, 8323, 689, 519, 1928, 543, 8417, 2404, 609, 19659, 563, 268, 853, 3591, 5694, 9178, 281, 590, 5263, 814, 1044, 3254, 547, 3500, 1524, 610, 1256, 3247, 519, 11144, 540, 19659, 267, 799, 666, 581, 2523, 6225, 538, 2550, 945, 723, 2789, 19659, 610, 945, 723, 7411, 18460, 2757, 13570, 5574, 563, 2005, 568, 1271, 547, 4063, 602, 590, 5263, 568, 711, 513, 8628, 3070, 543, 519, 2126, 786, 991, 547, 581, 7368, 10859, 268, 2335, 1302, 538, 1931, 547, 2226, 7145, 269, 3958, 267, 590, 5263, 1281, 711, 5372, 519, 991, 585, 2757, 13570, 30836, 538, 782, 2665, 269, 7053, 267, 519, 8988, 538, 590, 5263, 3123, 513, 18476, 32396, 540, 519, 5701, 1858, 267, 799, 949, 711, 581, 5078, 585, 782, 2550, 269, 1717, 267, 713, 32396, 666, 581, 4988, 609, 513, 3043, 610, 12432, 11423, 563, 3682, 338, 540, 590, 5263, 454, 268, 5440, 673, 3498, 609, 1100, 991, 585, 17656, 610, 23236, 454, 268, 16199, 1206, 4540, 5694, 9178, 543, 11151, 2104, 9178, 454, 8256, 540, 590, 5263, 454, 268, 5463, 26359, 2127, 786, 12962, 3109, 454, 268, 16200, 17285, 6492, 543, 17627, 454, 268, 20126, 547, 581, 31272, 29736, 10859, 268, 2335, 1302, 454, 291, 1581, 13021, 1218, 616, 849, 4294, 547, 519, 4522, 267, 855, 789, 957, 607, 513, 11064, 1996, 1426, 543, 4551, 563, 288, 5959, 13021, 656, 568, 513, 6094, 267, 8825, 15098, 602, 568, 4294, 547, 519, 21400, 7252, 540, 519, 1394, 4522, 630, 2181, 28485, 1513, 543, 12387, 1513, 264, 547, 948, 2061, 19659, 543, 5694, 9178, 269, 898, 568, 2356, 7768, 540, 28778, 610, 12432, 18300, 267, 543, 666, 581, 3043, 267, 2312, 267, 610, 2688, 20083, 547, 519, 2067, 5694, 2681, 269, 634, 13021, 656, 6411, 607, 513, 11064, 267, 27575, 856, 15799, 543, 1426, 5536, 602, 666, 1205, 16290, 538, 519, 9240, 7174, 543, 29365, 540, 891, 4522, 267, 1141, 513, 28750, 666, 1406, 2141, 3914, 269, 1530, 531, 1218, 666, 849, 581, 1031, 547, 26699, 519, 11144, 540, 1875, 2275, 822, 18469, 1286, 625, 15087, 538, 519, 4522, 563, 28074, 899, 590, 5263, 267, 519, 1184, 540, 7311, 513, 5959, 13021, 656, 568, 2656, 543, 1928, 1652, 269, 634, 5694, 568, 19345, 543, 12015, 267, 543, 1287, 606, 1696, 4221, 3070, 568, 4294, 547, 519, 21400, 2627, 547, 1711, 513, 11315, 2627, 585, 519, 13021, 656, 547, 15666, 547, 269, 634, 5277, 13021, 656, 568, 1287, 13556, 5196, 519, 5694, 267, 1141, 621, 3533, 2182, 839, 883, 513, 14463, 267, 8825, 13104, 563, 5353, 531, 1218, 616, 2523, 6225, 585, 1453, 543, 14038, 267, 4171, 8628, 12387, 1513, 616, 1869, 4947, 538, 543, 945, 949, 711, 723, 2919, 519, 8261, 32609, 614, 640, 610, 17678, 6208, 2556, 547, 3927, 2973, 782, 7252, 540, 741, 4522, 269, 1717, 267, 5959, 13021, 1218, 666, 581, 4294, 547, 4079, 607, 1134, 543, 666, 1683, 606, 3063, 4494, 540, 4027, 1996, 19659, 543, 9178, 269, 5525, 1397, 602, 13021, 1218, 6175, 519, 1981, 540, 5694, 9178, 538, 12387, 1513, 676, 607, 1454, 607, 476, 3199, 18336, 3682, 338, 540, 15482, 1530, 531, 1218, 454, 268, 2776, 24000, 5694, 9178, 454, 268, 2349, 1742, 538, 609, 519, 2067, 5694, 2681, 454, 268, 5440, 673, 3498, 609, 1100, 991, 585, 17656, 610, 23236, 454, 268, 8307, 991, 547, 581, 4294, 2899, 1169, 1906, 1296, 454, 8256, 540, 15482, 1530, 531, 1218, 454, 268, 2052, 2254, 581, 1031, 547, 26699, 4540, 19659, 454, 268, 570, 1389, 5594, 3476, 982, 590, 5263, 547, 4019, 454, 268, 1230, 13935, 513, 1295, 4593, 2544, 2179, 540, 645, 5183, 630, 560, 650, 2808, 2922, 994, 13828, 590, 5263, 543, 5959, 13021, 1218, 616, 2500, 693, 7303, 19659, 543, 7863, 4522, 689, 9178, 563, 11997, 267, 519, 3903, 1063, 519, 1079, 786, 4096, 593, 519, 1808, 2115, 543, 6381, 540, 519, 3461, 563, 291, 1581, 13021, 1218, 616, 513, 23833, 2126, 602, 616, 3335, 4294, 547, 519, 21400, 7252, 540, 519, 1394, 4522, 630, 2181, 28485, 1513, 543, 12387, 1513, 264, 547, 948, 2061, 1426, 543, 15799, 689, 3478, 16290, 538, 519, 9240, 7174, 543, 29365, 540, 891, 4522, 269, 1358, 616, 4122, 4294, 547, 2635, 4522, 543, 5924, 4522, 602, 616, 1175, 4358, 547, 1397, 4191, 540, 2038, 9178, 269, 1530, 531, 1218, 616, 3622, 5227, 585, 1453, 543, 14038, 267, 855, 666, 849, 581, 4294, 547, 4079, 563, 22068, 591, 5603, 710, 21973, 630, 306, 5263, 1070, 593, 519, 824, 1688, 267, 568, 1031, 607, 513, 2126, 585, 19659, 602, 723, 2907, 4646, 269, 590, 5263, 1568, 676, 11318, 4551, 267, 16089, 21973, 267, 543, 3246, 1928, 8323, 267, 543, 666, 581, 2523, 3730, 538, 2550, 945, 723, 2789, 19659, 267, 945, 723, 7411, 18460, 2757, 13570, 30836, 267, 610, 945, 723, 2027, 2115, 563, 1103, 2489, 267, 5959, 13021, 1218, 616, 1732, 585, 7303, 19659, 689, 8108, 267, 1247, 590, 5263, 568, 1732, 585, 8156, 4540, 19659, 543, 23646, 1524, 610, 16069, 519, 11144, 540, 9178, 269, 1717, 267, 519, 1655, 1935, 786, 4096, 593, 519, 1367, 3461, 543, 741, 2189, 2115, 267, 543, 513, 11290, 786, 581, 2111, 547, 1118, 519, 1655, 16252, 1310, 10442, 519, 3461, 779, 5711, 1072, 563, 22068, 591, 5603, 710, 21973, 630, 306, 5263, 264, 543, 5959, 13021, 1218, 616, 1312, 2500, 693, 7303, 19659, 267, 855, 789, 723, 930, 1883, 3604, 269, 590, 5263, 568, 1031, 547, 1521, 4540, 19659, 267, 1247, 5959, 13021, 1218, 616, 5097, 1031, 547, 2061, 19659, 689, 8108, 15587, 269, 5637, 666, 581, 4294, 1283, 1227, 267, 855, 5959, 13021, 1218, 2063, 3476, 267, 1247, 590, 5263, 2115, 547, 581, 31272, 29736, 7466, 513, 1032, 269, 11086, 267, 519, 8159, 3815, 585, 14045, 799, 568, 1655, 568, 519, 1367, 2115, 540, 519, 3461, 269, 1677, 1451, 811, 827, 891, 1079, 5574, 543, 547, 1265, 856, 799, 568, 1318, 585, 707, 1126, 267, 8430, 606, 13393, 609, 835, 540, 938, 12963, 24782, 2221, 256, 0, 31995, 18507, 3214, 267, 3450, 14696, 543, 875, 547, 581, 1543, 616, 1271, 547, 2679, 513, 2178, 1915, 269, 5753, 616, 711, 4535, 6616, 875, 547, 581, 9684, 995, 610, 18507, 269, 1924, 267, 875, 666, 649, 1332, 18507, 3214, 286, 1215, 666, 649, 4001, 938, 1453, 547, 581, 1543, 543, 9684, 995, 286, 1703, 616, 1896, 2653, 2081, 547, 3142, 713, 883, 707, 3232, 2729, 267, 865, 707, 1453, 1332, 909, 6029, 14696, 563, 763, 1297, 835, 3364, 513, 2385, 666, 798, 547, 4001, 741, 1453, 875, 547, 581, 18507, 568, 547, 1291, 676, 1383, 269, 8866, 4585, 543, 1451, 811, 689, 1018, 789, 1294, 267, 982, 689, 1018, 789, 5873, 269, 3399, 689, 950, 707, 1126, 568, 1360, 1762, 543, 2253, 547, 2936, 2081, 547, 1397, 9684, 6888, 543, 1543, 618, 883, 707, 3232, 2729, 269, 9232, 589, 476, 1001, 277, 1353, 3370, 538, 11930, 25833, 3163, 277, 1336, 602, 18507, 3237, 4043, 547, 6318, 18507, 1453, 1848, 2422, 4052, 2081, 538, 707, 4948, 1272, 547, 1397, 707, 1453, 1018, 621, 5654, 899, 547, 581, 18507, 543, 2186, 269, 17166, 968, 628, 1678, 596, 892, 547, 1346, 1472, 596, 267, 2523, 950, 707, 3214, 616, 8384, 269, 2142, 2386, 547, 2161, 968, 628, 1678, 596, 892, 547, 707, 3214, 950, 789, 948, 610, 798, 1945, 269, 6733, 585, 2081, 547, 1397, 707, 14696, 547, 1920, 267, 2828, 267, 543, 1004, 1472, 596, 269, 13185, 827, 1018, 621, 1797, 547, 581, 18507, 609, 707, 1453, 543, 1397, 873, 707, 14696, 543, 1543, 618, 269, 634, 14812, 616, 513, 1390, 942, 540, 1032, 547, 1397, 14696, 543, 2285, 7064, 269, 898, 779, 711, 2614, 547, 2995, 1453, 267, 621, 779 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 307, 7505, 13911, 6025, 7505, 994, 672, 2608, 476, 24801, 955, 454, 672, 2608, 16849, 519, 1826, 540, 713, 18351, 269, 476, 901, 1826, 786, 6474, 835, 540, 519, 454, 672, 2608, 1739, 679, 10179, 730, 1826, 21635, 281, 2999, 13892, 285, 292, 29996, 9572, 13892, 285, 2676, 672, 2608, 2999, 13892, 285, 306, 7968, 2752, 2969, 3036, 9572, 13892, 285, 267, 2999, 13892, 285, 310, 16704, 9572, 13892, 285, 267, 2999, 13892, 285, 301, 9331, 21612, 9572, 13892, 285, 2676, 672, 2608, 2999, 13892, 285, 22552, 5058, 9572, 13892, 285, 267, 610, 2999, 13892, 285, 8008, 2207, 2969, 3036, 9572, 13892, 285, 563, 825, 8173, 825, 570, 7505, 13911, 1205, 307, 7505, 13911, 263, 560, 323, 15311, 11415, 18351, 264, 1526, 692, 825, 8173, 672, 2608, 6396, 281, 1205, 13142, 454, 672, 2608, 26402, 281, 703, 669, 815, 31554, 10947, 13142, 4590, 672, 2608, 476, 5785, 734, 454, 672, 2608, 3367, 338, 519, 1985, 1915, 689, 519, 31554, 3403, 6908, 563, 825, 8173, 825, 1219, 1205, 13142, 10031, 1038, 2132, 568, 335, 10947, 10797, 825, 8173, 672, 2608, 6396, 281, 796, 1326, 13142, 454, 672, 2608, 26402, 281, 31554, 26509, 1326, 13142, 263, 577, 994, 672, 2608, 476, 10900, 955, 8894, 672, 2608, 623, 16640, 519, 1915, 2999, 13892, 285, 577, 9572, 13892, 285, 1394, 883, 519, 31554, 6908, 563, 672, 2608, 634, 1915, 1590, 6474, 519, 835, 602, 729, 1224, 563, 825, 8173, 825, 1219, 796, 1326, 13142, 17301, 669, 17107, 825, 8173, 672, 2608, 6396, 281, 1205, 21803, 19368, 454, 672, 2608, 26402, 281, 5569, 1193, 815, 31554, 10947, 21803, 19368, 6025, 7505, 994, 672, 2608, 476, 24801, 734, 454, 672, 2608, 16849, 519, 5569, 1871, 540, 513, 18351, 269, 476, 901, 1871, 568, 4646, 676, 9427, 454, 672, 2608, 1022, 4478, 19722, 7436, 543, 13868, 9101, 9696, 676, 519, 454, 672, 2608, 3617, 3197, 563, 825, 8173, 825, 31901, 15311, 11415, 1205, 21803, 19368, 263, 560, 323, 15311, 11415, 18351, 264, 1526, 692, 825, 5727, 17721, 3296, 20701, 825, 5727, 20594, 20594, 20594, 20594, 7052, 265, 13045, 825, 5727, 8074, 281, 18421, 2630, 713, 1448, 538, 519, 3758, 568, 25401, 851, 567, 8173, 825, 5727, 540, 519, 6388, 543, 1058, 711, 581, 540, 1719, 547, 7218, 269, 567, 8173, 825, 5727, 20594, 20594, 20594, 20594, 7052, 265, 270, 692, 825, 8173, 672, 2608, 17721, 1826, 281, 21642, 28053, 454, 672, 2608, 476, 10900, 454, 672, 2608, 901, 1826, 568, 1031, 547, 4020, 5532, 8638, 540, 2281, 267, 799, 616, 1031, 454, 672, 2608, 547, 2099, 1312, 519, 10518, 540, 10710, 21797, 543, 519, 1305, 540, 3989, 454, 672, 2608, 12427, 269, 476, 1452, 2010, 3112, 946, 519, 29571, 543, 22858, 6625, 5049, 454, 672, 2608, 2047, 1317, 21797, 4754, 1676, 19544, 568, 606, 5393, 1970, 7400, 8818, 2676, 672, 2608, 543, 3257, 865, 1131, 1711, 9764, 29444, 538, 519, 1547, 327, 6119, 563, 825, 8173, 825, 1362, 21642, 28053, 912, 1038, 1219, 6449, 8181, 9191, 2187, 2018, 1193, 337, 454, 2018, 3095, 454, 672, 692, 825, 1362, 7089, 306, 4754, 1676, 13750, 912, 1038, 5442, 296, 2316, 3201, 318, 4306, 12442, 815, 476, 271, 454, 1038, 645, 9128, 16800, 32707, 4488, 8379, 3201, 318, 17269, 19860, 815, 476, 272, 454, 1038, 19200, 9898, 32707, 4488, 8379, 3201, 318, 17269, 19860, 815, 476, 273, 454, 1038, 5254, 2752, 16249, 318, 13052, 303, 2177, 7728, 815, 476, 274, 454, 1038, 674, 5495, 21254, 318, 13052, 303, 2177, 7728, 318, 306, 22218, 815, 476, 275, 454, 1038, 14662, 3198, 301, 5058, 318, 13052, 303, 2177, 7728, 815, 476, 276, 454, 1038, 674, 2562, 3201, 318, 4306, 12442, 815, 476, 277, 7531, 825, 17280, 23526, 5727, 634, 3312, 4661, 5569, 12163, 825, 568, 335, 19930, 5727, 634, 3403, 6908, 585, 21797, 8173, 825, 536, 944, 5569, 19152, 14503, 698, 2018, 5727, 25035, 10834, 5569, 3403, 12163, 825, 536, 944, 11716, 2662, 2572, 10628, 14503, 698, 11434, 5727, 2480, 534, 1676, 5337, 2803, 16543, 10628, 476, 8173, 825, 536, 944, 11716, 4467, 906, 14503, 698, 1363, 5727, 2480, 534, 1676, 5337, 2803, 8292, 825, 8173, 825, 536, 944, 11571, 301, 13246, 14503, 698, 2018, 5727, 2480, 534, 1676, 16163, 525, 2338, 8587, 8173, 825, 536, 944, 11571, 18360, 902, 14503, 698, 2018, 5727, 2480, 534, 1676, 16163, 525, 12673, 8587, 8173, 825, 31901, 15311, 11415, 2262, 2419, 1513, 19930, 5727, 16952, 2262, 3197, 476, 8173, 825, 21642, 28053, 2608, 338, 8491, 27717, 839, 1363, 5727, 29571, 540, 10710, 21797, 11434, 8173, 825, 21642, 28053, 2608, 6016, 2209, 19930, 5727, 5903, 540, 1617, 747, 541, 12427, 29185, 825, 5727, 17721, 1505, 30384, 12163, 825, 1219, 2332, 306, 4754, 1676, 4590, 825, 1219, 18178, 8967, 2167, 4590, 825, 31901, 15311, 11415, 11571, 17504, 4590, 825, 31901, 15311, 11415, 11571, 10831, 10797, 825, 1219, 11571, 21803, 10031, 1038, 31901, 15311, 11415, 18351, 815, 834, 4840, 1038, 1347, 1642, 574, 815, 568, 335, 15010, 1326, 4590, 1038, 18351, 6834, 1642, 574, 454, 1038, 9101, 815, 8771, 454, 1038, 1247, 630, 25152, 2187, 2018, 703, 669, 815, 568, 335, 15010, 1326, 4590, 2018, 952, 630, 577, 2652, 661, 29996, 264, 5470, 2891, 2675, 534, 21803, 281, 1336, 796, 32558, 730, 5569, 5602, 2018, 952, 630, 577, 2652, 1642, 574, 543, 711, 9101, 264, 2736, 454, 2018, 9101, 815, 630, 577, 2652, 1412, 11138, 10807, 543, 711, 9101, 454, 2018, 18351, 6834, 669, 28329, 825, 2132, 18351, 1341, 1642, 574, 692, 825, 536, 944, 568, 23330, 1807, 263, 560, 323, 15311, 11415, 1566, 994, 825, 536, 944, 568, 23330, 1807, 7093, 25785, 263, 560, 323, 15311, 11415, 1566, 2020, 692, 3698, 1305, 19152, 19304, 337, 2187, 825, 5569, 19152, 14503, 698, 815, 3020, 454, 825, 17280, 815, 1193, 337, 454, 825, 568, 335, 815, 1007, 31901, 15311, 626, 2590, 6894, 6357, 4428, 518, 994, 825, 10710, 27717, 839, 815, 715, 26097, 7531, 3698, 1305, 19152, 263, 560, 323, 15311, 626, 3195, 1299, 1102, 850, 2187, 825, 5569, 19152, 14503, 698, 815, 7301, 454, 825, 568, 335, 815, 1299, 8882, 850, 454, 825, 10710, 27717, 839, 815, 715, 26097, 7531, 321, 944, 1219, 814, 5415, 27717, 839, 10031, 825, 31901, 15311, 11415, 18351, 815, 1985, 307, 7505, 4590, 825, 4688, 307, 7505, 6025, 7505, 994, 825, 2132, 630, 339, 7505, 11203, 834, 257, 9239, 560, 323, 15311, 11415, 1219, 1985, 307, 7505, 10031, 825, 952, 630, 1345, 4732, 8491, 27717, 839, 11203, 715, 26097, 2187, 1038, 524, 335, 815, 1582, 4732, 8491, 27717, 839, 454, 1038, 18351, 815, 524, 335, 269, 1598, 337, 454, 1038, 10710, 27717, 839, 815, 524, 335, 7456, 1074, 454, 1038, 1948, 18419, 524, 335, 7790, 888, 1038, 2132, 18351, 22562, 825, 1247, 630, 25152, 2187, 1038, 952, 630, 793, 648, 2662, 2572, 10628, 14503, 698, 2187, 2018, 18178, 8967, 2167, 4590, 1038, 669, 815, 1582, 269, 7371, 10947, 4590, 1038, 952, 630, 577, 2652, 26230, 543, 11716, 4467, 906, 14503, 698, 2187, 2018, 669, 815, 568, 335, 10947, 4590, 2018, 952, 630, 577, 2652, 26230, 2187, 3546, 1247, 630, 25152, 2187, 7386, 669, 815, 568, 335, 10947, 4590, 7386, 952, 630, 577, 2652, 1412, 315, 333, 262, 610, 669, 2652, 1412, 315, 337, 262, 610, 669, 2652, 661, 29996, 264, 2736, 454, 4449, 454, 3546, 3136, 454, 17264, 3116, 952, 630, 577, 2652, 25952, 2187, 3546, 703, 7173, 815, 661, 29996, 454, 3546, 1247, 630, 25152, 2187, 7386, 669, 815, 568, 335, 15010, 1326, 4590, 7386, 952, 630, 577, 2652, 661, 29996, 610, 630, 2181, 341, 2652, 25952, 543, 669, 2652, 26230, 4297, 2736, 454, 7386, 7173, 815, 669, 454, 4449, 454, 3546, 3136, 454, 27030, 2018, 952, 630, 577, 11203, 661, 29996, 264, 568, 335, 15010, 684, 1326, 4590, 2018, 669, 815, 23367, 7055, 13872, 1038, 952, 630, 577, 2652, 661, 29996, 264, 2132, 834, 4840, 1038, 952, 16733, 577, 2652, 1412, 257, 262, 610, 669, 2652, 1412, 315, 5257, 264, 543, 11571, 18360, 902, 14503, 698, 2187, 2018, 568, 335, 15010, 684, 1326, 4590, 2018, 2132, 11571, 21803, 4590, 13872, 1038, 952, 630, 577, 18994, 323, 13424, 3890, 543, 11571, 301, 13246, 14503, 698, 2187, 2018, 568, 335, 26509, 1326, 4590, 2018, 2132, 11571, 10831, 4590, 13872, 1038, 952, 630, 529, 17504, 23322, 263, 577, 15892, 2018, 568, 335, 26509, 1326, 4590, 2018, 2132, 11571, 17504, 4590, 13872, 1038, 31901, 15311, 11415, 1566, 815, 31901, 15311, 11415, 263, 272, 267, 669, 994, 1038, 1247, 630, 529, 23330, 1807, 7093, 25785, 263, 641, 15892, 2018, 669, 815, 568, 335, 15010, 1326, 4590, 2018, 952, 630, 577, 2652, 661, 29996, 264, 2736, 454, 2018, 1566, 6834, 669, 28329, 1038, 1247, 630, 641, 32324, 3890, 3436, 476, 272, 543, 711, 568, 23330, 1807, 263, 641, 15892, 2018, 568, 335, 15010, 684, 1326, 4590, 2018, 1566, 269, 518, 848, 263, 641, 32324, 3890, 910, 476, 272, 267, 476, 272, 994, 13872, 1038, 2132, 1566, 454, 672, 7531, 3698, 4688, 307, 7505, 6025, 7505, 2187, 825, 524, 335, 815, 21642, 28053, 4590, 825, 524, 335, 269, 1598, 337, 815, 18351, 454, 825, 524, 335, 7456, 1074, 815, 10710, 27717, 839, 454, 825, 10710, 27717, 839, 815, 524, 335, 7531, 3698, 11716, 2662, 2572, 10628, 10031, 825, 11716, 2662, 2572, 10628, 14503, 698, 815, 3020, 7531, 3698, 11716, 4467, 906, 10031, 825, 11716, 4467, 906, 14503, 698, 815, 3020, 7531, 3698, 11571, 301, 13246, 10031, 825, 11571, 301, 13246, 14503, 698, 815, 3020, 7531, 3698, 11571, 18360, 902, 10031, 825, 11571, 18360, 902, 14503, 698, 815, 3020, 7531, 3698, 1039, 17504, 13142, 3030, 19304, 2187, 825, 2262, 2419, 1513, 6834, 1193, 7531, 3698, 1039, 23330, 1807, 263, 641, 2187, 825, 524, 335, 815, 21642, 28053, 4590, 825, 524, 335, 269, 1598, 337, 815, 1566, 454, 825, 524, 335, 7456, 1074, 815, 12427, 454, 825, 12427, 815, 524, 335, 7531, 3698, 1205, 303, 3789, 3890, 1526, 912, 825, 952, 630, 338, 8491, 27717, 839, 2652, 715, 26097, 2187, 1038, 2132, 703, 263, 7371, 15010, 339, 749, 326, 15405, 672, 3116, 912, 1038, 2132, 703, 263, 7371, 15010, 339, 749, 326, 28829, 910, 10710, 27717, 839, 15010, 1598, 32324, 4590, 672, 7531, 3698, 568, 17504, 23322, 263, 577, 2187, 825, 2132, 669, 18994, 531, 11133, 610, 2262, 2419, 1513, 26098, 263, 577, 264, 11203, 31901, 15311, 11415, 15311, 333, 1842, 7531, 3698, 13182, 307, 7505, 263, 560, 323, 15311, 11415, 4397, 2187, 825, 31901, 15311, 11415, 18351, 815, 1985, 307, 7505, 4590, 825, 952, 630, 339, 7505, 11203, 4397, 2187, 1038, 5470, 2891, 3698, 13182, 307, 7505, 281, 5853, 1422, 3269, 1341, 18351, 1341, 27719, 3269, 30492, 23526, 834, 950, 24584, 1422, 3269, 1341, 4397, 1341, 27719, 3269, 994, 672, 7531, 3698, 1205, 307, 7505, 13911, 6025, 7505, 2187, 825, 952, 630, 339, 7505, 2652, 834, 257, 2187, 1038, 2132, 570, 7505, 13911, 27887, 29996, 994, 825, 1347, 669, 815, 18351, 314, 271, 2639, 825, 952, 630, 1170, 10628, 263, 577, 15892, 1038, 2132, 1582, 2529, 7968, 2752, 2969, 3036, 454, 825, 952, 630, 577, 2652, 1412, 257, 262, 610, 630, 577, 2652, 1412, 315, 5257, 543, 18351, 32324, 3890, 3436, 476, 272, 15892, 1038, 2132, 1582, 2529, 15045, 5058, 454, 825, 952, 630, 577, 18994, 323, 13424, 3890, 2187, 1038, 2132, 1582, 12991, 9331, 21612, 454, 825, 952, 630, 529, 17504, 23322, 263, 577, 15892, 1038, 2132, 1582, 15030, 16704, 454, 825, 2132, 20525, 2207, 2969, 3036, 7531, 3698, 1205, 21803, 19368, 6025, 7505, 2187, 825, 1193, 337, 815, 834, 4840, 825, 1376, 815, 476, 271, 454, 825, 9096, 815, 7003, 6025, 7505, 994, 825, 952, 630, 21129, 880, 3436, 476, 272, 543, 630, 339, 7505, 314, 271, 316, 2652, 1412, 257, 262, 610, 18351, 314, 271, 316, 2652, 1412, 315, 5257, 15892, 1038, 1376, 815, 476, 272, 454, 1038, 9096, 20699, 476, 272, 22562, 825, 585, 1775, 538, 1535, 9792, 263, 11034, 267, 9096, 2187, 1038, 1347, 669, 815, 18351, 5157, 2639, 1038, 952, 630, 577, 2652, 1412, 11138, 262, 2187, 2018, 669, 815, 18351, 314, 10030, 328, 2639, 2018, 952, 630, 577, 18994, 323, 13424, 3890, 610, 669, 2652, 1412, 343, 262, 2187, 3546, 703, 3490, 815, 476, 279, 454, 3546, 952, 630, 577, 2652, 1412, 343, 262, 2187, 7386, 3490, 815, 476, 1626, 454, 7386, 1775, 10030, 454, 4449, 454, 3546, 703, 1267, 815, 476, 271, 454, 3546, 703, 7857, 815, 476, 271, 454, 3546, 1247, 630, 328, 2999, 9096, 2187, 7386, 669, 815, 18351, 5157, 2639, 7386, 952, 630, 577, 18994, 323 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 3848, 476, 1691, 281, 22802, 6513, 543, 5004, 281, 589, 18043, 5811, 692, 296, 269, 4985, 692, 1103, 2221, 781, 3728, 19550, 1870, 1604, 267, 5883, 11891, 814, 1831, 811, 2565, 982, 2479, 1354, 269, 14992, 991, 547, 2327, 789, 723, 2614, 6006, 547, 2743, 6075, 3747, 1247, 10893, 3790, 2404, 609, 8066, 4430, 11891, 269, 901, 3184, 786, 5490, 4514, 883, 11891, 1852, 543, 2359, 2994, 1210, 519, 2013, 1353, 540, 519, 8313, 543, 3892, 540, 853, 20672, 30038, 26856, 781, 3209, 267, 834, 763, 21756, 2060, 519, 22900, 570, 16201, 334, 1701, 1284, 786, 2263, 1585, 2035, 971, 607, 3761, 5832, 2359, 267, 20925, 267, 3106, 13632, 267, 543, 2804, 1931, 7274, 630, 292, 302, 304, 264, 3631, 269, 1635, 6313, 891, 2035, 998, 513, 1483, 8996, 9183, 267, 596, 786, 2744, 513, 1732, 1620, 540, 875, 11891, 2359, 4249, 513, 2629, 1909, 538, 1022, 1870, 5106, 780, 2862, 269, 18242, 20456, 5004, 692, 11045, 569, 5832, 2359, 4016, 547, 519, 11558, 543, 2359, 540, 2238, 3238, 538, 6721, 543, 12419, 513, 1587, 610, 3028, 547, 5561, 269, 1452, 2238, 949, 1331, 27126, 6151, 2326, 267, 5663, 267, 16292, 327, 17639, 267, 6283, 267, 543, 3892, 269, 769, 938, 2013, 1353, 267, 519, 3761, 5832, 3322, 1896, 6105, 910, 4589, 267, 21101, 267, 2733, 12781, 267, 17783, 531, 619, 267, 543, 21625, 269, 3962, 5428, 1590, 960, 1927, 16900, 547, 2327, 12905, 6765, 540, 2835, 547, 3988, 269, 13229, 2792, 543, 5698, 1063, 782, 8639, 616, 1898, 585, 4509, 606, 3608, 543, 1942, 15807, 3761, 5832, 780, 7656, 269, 24637, 5983, 26511, 692, 20779, 663, 20925, 568, 519, 1184, 540, 21501, 2104, 3747, 585, 2472, 1759, 593, 3140, 1239, 267, 2344, 1382, 267, 543, 824, 2188, 269, 6452, 23847, 20925, 2337, 4213, 1544, 741, 2504, 16131, 267, 4383, 11891, 2157, 267, 543, 1118, 5483, 3664, 827, 14499, 543, 6725, 2994, 269, 1280, 3236, 267, 17404, 11905, 9248, 543, 8225, 2733, 12460, 14175, 1723, 770, 7734, 1031, 6455, 1239, 689, 552, 22345, 619, 899, 8835, 28632, 547, 3589, 519, 8560, 540, 834, 763, 21756, 2060, 519, 22900, 570, 16201, 334, 257, 1851, 3345, 1977, 9458, 269, 9122, 593, 713, 1344, 267, 789, 4956, 547, 2333, 1820, 8255, 543, 4228, 3892, 9055, 9935, 269, 1717, 267, 621, 568, 1271, 547, 4063, 602, 1256, 609, 10427, 2645, 543, 2553, 267, 3747, 20925, 3788, 606, 20541, 2257, 12155, 547, 6959, 1813, 547, 5007, 2188, 3564, 513, 2754, 781, 1852, 780, 4353, 269, 8881, 14351, 6726, 566, 692, 32552, 6006, 4016, 547, 3063, 11891, 6854, 593, 1688, 547, 11574, 4220, 2404, 609, 13260, 538, 1291, 2053, 267, 3747, 267, 610, 1312, 269, 11109, 6190, 3106, 6006, 5849, 602, 3549, 666, 3136, 5870, 6075, 7569, 1282, 6397, 3871, 1510, 4881, 856, 540, 6006, 4625, 269, 1677, 5173, 3106, 6006, 4170, 267, 4213, 2015, 2188, 971, 607, 5551, 3028, 1377, 630, 1492, 5506, 540, 9319, 6006, 8083, 1070, 3044, 11539, 540, 1291, 942, 3747, 267, 543, 3328, 3232, 6165, 2557, 269, 1280, 1383, 267, 952, 972, 568, 1164, 10462, 1472, 1433, 9753, 1813, 547, 11385, 908, 7082, 7375, 610, 21463, 538, 519, 3761, 5832, 267, 11905, 9248, 543, 14175, 1723, 770, 7734, 1522, 2226, 2362, 3106, 6006, 2157, 547, 2057, 1761, 6006, 8083, 780, 309, 269, 9483, 11352, 10829, 640, 630, 292, 302, 304, 264, 7844, 692, 30356, 11352, 10829, 640, 630, 292, 302, 304, 264, 568, 513, 6310, 2203, 1031, 547, 3313, 519, 6099, 1931, 7274, 602, 24024, 2698, 11891, 3790, 1107, 19280, 267, 8876, 267, 543, 6006, 719, 3790, 269, 1635, 12719, 519, 661, 302, 304, 267, 4213, 666, 3666, 519, 4123, 4752, 1063, 11093, 7928, 1507, 9753, 543, 1447, 7928, 1804, 3283, 269, 11790, 2808, 950, 8159, 661, 302, 304, 1331, 5993, 3747, 267, 19280, 1942, 829, 11834, 267, 543, 8876, 1942, 829, 1770, 829, 1032, 269, 4635, 519, 661, 302, 304, 2203, 267, 11905, 9248, 543, 14175, 1723, 770, 7734, 1223, 11126, 741, 8228, 543, 3892, 16131, 267, 4180, 8766, 3653, 543, 5021, 7443, 19114, 780, 9654, 269, 23120, 1234, 680, 523, 7321, 15613, 692, 16676, 6681, 25579, 7321, 4640, 630, 10135, 306, 264, 568, 606, 11891, 2359, 1935, 1141, 14273, 8850, 6928, 5370, 547, 21625, 1759, 593, 4890, 1448, 6361, 1606, 1446, 1239, 2864, 982, 24441, 6718, 9753, 269, 10911, 306, 2636, 4213, 547, 2569, 11891, 2157, 267, 2087, 1931, 6111, 267, 543, 4431, 3533, 547, 2242, 538, 7082, 3747, 269, 23255, 899, 11905, 9248, 666, 946, 10911, 306, 547, 12840, 5702, 609, 2733, 12781, 899, 14175, 1723, 770, 7734, 267, 4687, 1483, 6066, 6455, 1239, 543, 14577, 2504, 16131, 9935, 780, 23997, 269, 10390, 692, 19931, 11891, 1852, 543, 2359, 1404, 513, 4105, 1909, 538, 1022, 1870, 5106, 267, 3226, 1369, 6080, 882, 5050, 593, 4028, 24826, 3928, 543, 12119, 15088, 269, 22034, 2035, 971, 607, 3761, 5832, 2359, 267, 3747, 20925, 267, 3106, 6006, 9819, 267, 661, 302, 304, 3631, 267, 543, 6024, 25579, 7321, 2994, 6087, 3906, 547, 11694, 12434, 1247, 10893, 3653, 995, 7836, 269, 3414, 3695, 519, 18454, 543, 2591, 5185, 676, 1346, 3238, 538, 13629, 543, 26084, 834, 763, 21756, 2060, 519, 22900, 570, 16201, 334, 2437, 1053, 1451, 4052, 3156, 540, 7811, 3741, 538, 513, 6422, 4259, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 7824, 634, 21756, 5808, 666, 581, 1865, 1004, 540, 6370, 3033, 2677, 18587, 267, 610, 1719, 21625, 602, 1397, 5051, 4609, 689, 519, 7293, 1143, 267, 543, 1631, 948, 873, 883, 4162, 936, 862, 17458, 269, 634, 7824, 634, 21756, 5808, 538, 713, 6216, 8604, 6537, 538, 519, 808, 7968, 540, 4989, 547, 5412, 476, 1001, 272, 267, 799, 1476, 331, 919, 519, 1614, 2823, 1023, 540, 1250, 2046, 5092, 609, 519, 6175, 543, 21282, 7828, 693, 14175, 1723, 770, 7734, 269, 898, 941, 1044, 689, 552, 22345, 619, 3323, 609, 519, 7824, 634, 21756, 5808, 1975, 5803, 609, 693, 11905, 9248, 543, 14175, 1723, 770, 7734, 267, 8772, 4250, 1053, 267, 1383, 1065, 29251, 4603, 539, 676, 519, 1876, 267, 4199, 540, 536, 333, 322, 19833, 10574, 267, 661, 1885, 543, 2055, 689, 519, 17363, 2605, 6471, 2160, 7732, 543, 1592, 267, 3516, 865, 607, 18787, 267, 2924, 267, 543, 3898, 543, 10220, 3877, 729, 6237, 269, 1390, 7824, 634, 21756, 5808, 1975, 5803, 609, 24436, 281, 29519, 543, 7206, 2278, 8118, 538, 29430, 267, 3703, 12052, 269, 22621, 538, 476, 3192, 280, 267, 14175, 1723, 770, 7734, 568, 15295, 25249, 267, 7824, 634, 21756, 5808, 1975, 5803, 609, 24436, 281, 20150, 267, 543, 2298, 1654, 547, 513, 476, 4029, 560, 12557, 540, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 15051, 3194, 1315, 22802, 6513, 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, 15232, 519, 674, 4288, 540, 3979, 543, 19384, 28690, 538, 30571, 632, 15840, 17144, 692, 3721, 476, 272, 281, 3194, 30571, 632, 15840, 17144, 781, 26943, 2435, 3778, 454, 6524, 25054, 593, 707, 11477, 3460, 998, 30571, 632, 15840, 17144, 267, 1491, 930, 942, 547, 1174, 519, 2189, 11100, 540, 4529, 602, 8032, 922, 1426, 6429, 269, 14082, 17091, 267, 3979, 17760, 29713, 267, 543, 5065, 7087, 2950, 782, 8329, 547, 2870, 519, 10058, 25812, 5174, 571, 7588, 1014, 12760, 1336, 538, 519, 3148, 781, 11951, 2221, 269, 901, 4282, 1702, 786, 3986, 707, 7071, 540, 519, 8286, 596, 7237, 1282, 707, 7552, 780, 3721, 476, 273, 281, 16731, 10871, 29714, 454, 2414, 5963, 23365, 3054, 538, 519, 2199, 11477, 5389, 267, 3643, 6990, 899, 30330, 5964, 7844, 334, 610, 590, 14244, 808, 10394, 638, 574, 10369, 269, 1452, 14297, 32387, 13686, 4195, 3132, 267, 14546, 267, 16872, 267, 543, 16469, 1031, 3232, 676, 7264, 269, 3955, 716, 609, 21527, 945, 666, 2671, 741, 4030, 593, 6237, 32258, 543, 7041, 2553, 269, 12726, 16678, 5613, 971, 607, 808, 629, 583, 545, 19487, 267, 772, 3495, 267, 610, 3400, 24825, 320, 1107, 28125, 538, 29036, 8478, 855, 10355, 2938, 11992, 780, 3721, 476, 274, 281, 8347, 12465, 9335, 16639, 454, 1805, 22901, 1426, 568, 7533, 547, 30571, 632, 15840, 17144, 781, 1426, 2528, 269, 7720, 638, 29132, 630, 320, 3165, 12403, 11273, 538, 27765, 324, 3282, 1070, 3600, 541, 1690, 2946, 630, 1372, 788, 1922, 3072, 11084, 1500, 689, 3109, 31991, 17112, 6039, 609, 20544, 543, 3905, 14036, 1070, 543, 2806, 541, 5451, 630, 13678, 1791, 547, 1035, 541, 1690, 2946, 855, 2848, 3139, 3079, 540, 22304, 264, 616, 2442, 5079, 1851, 17137, 543, 14666, 7567, 269, 18918, 609, 8265, 21527, 543, 1451, 827, 891, 8286, 262, 3140, 4644, 1247, 11981, 873, 780, 3721, 476, 275, 281, 10812, 31777, 1218, 7981, 1944, 538, 25812, 5174, 571, 7588, 1014, 28690, 454, 4407, 3695, 519, 2749, 267, 3343, 856, 552, 831, 625, 6131, 547, 8497, 543, 5009, 25812, 5174, 571, 7588, 1014, 10346, 269, 2368, 8037, 3681, 1331, 595, 14505, 1019, 962, 17507, 329, 5451, 267, 12756, 631, 1092, 631, 537, 549, 267, 543, 31777, 14397, 2549, 5964, 269, 3962, 10661, 949, 2322, 922, 8095, 593, 5929, 8286, 282, 2705, 267, 789, 2611, 8149, 547, 26621, 2245, 269, 5269, 31681, 952, 2009, 267, 2523, 693, 8445, 2053, 267, 547, 2327, 27939, 8244, 780, 3721, 476, 276, 281, 12160, 622, 538, 18181, 26643, 454, 2690, 513, 3946, 6823, 1995, 267, 6443, 5986, 5049, 3366, 676, 22730, 1134, 268, 951, 539, 538, 25812, 5174, 571, 7588, 1014, 8819, 25348, 269, 14992, 899, 570, 4292, 540, 30571, 2709, 6030, 1141, 5171, 1451, 875, 547, 5965, 15040, 8286, 1210, 8076, 5820, 896, 4274, 5583, 269, 3502, 1152, 798, 891, 7886, 1683, 3407, 1983, 267, 855, 789, 849, 6536, 2686, 5385, 1063, 16929, 543, 28752, 780, 3721, 476, 277, 281, 29934, 26943, 2435, 15638, 543, 14080, 11040, 454, 11742, 707, 3643, 547, 14626, 728, 609, 5993, 2621, 14120, 30571, 632, 15840, 17144, 781, 11477, 6561, 269, 1280, 3236, 267, 16635, 13005, 22050, 1258, 558, 807, 13391, 10005, 4386, 1169, 5239, 267, 10023, 1585, 11925, 267, 13820, 902, 267, 543, 23405, 10223, 2757, 24214, 269, 6270, 14026, 1450, 17631, 547, 4497, 811, 7184, 609, 2199, 1426, 9821, 543, 2170, 609, 8284, 12439, 780, 3721, 476, 278, 281, 11657, 2659, 23800, 454, 2026, 596, 6330, 30571, 632, 15840, 17144, 781, 7524, 1426, 6429, 267, 3561, 707, 8906, 998, 11147, 267, 4967, 267, 610, 5639, 19827, 269, 19457, 891, 8823, 609, 1920, 543, 2828, 1394, 1753, 666, 8300, 873, 547, 2263, 2147, 9035, 269, 5047, 267, 10452, 593, 707, 11477, 13341, 1522, 7866, 5892, 29462, 4296, 1063, 9583, 19635, 4529, 543, 32345, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8702, 547, 8478, 267, 513, 2197, 12021, 585, 922, 7524, 2528, 267, 10875, 8916, 267, 543, 9159, 11951, 269, 1879, 621, 2501, 547, 1426, 267, 8478, 3091, 513, 3638, 543, 3309, 11477, 6561, 602, 9356, 519, 2197, 779, 1686, 543, 3309, 7506, 269, 3245, 519, 29316, 905, 6359, 1933, 320, 547, 519, 22023, 626, 1043, 533, 14244, 632, 6446, 6359, 334, 267, 19384, 11951, 568, 513, 10508, 585, 519, 12823, 563, 1103, 713, 2376, 267, 649, 786, 5490, 883, 519, 11477, 1642, 2074, 540, 8478, 779, 30811, 2749, 267, 30571, 632, 15840, 17144, 269, 28210, 538, 27040, 8478, 267, 30571, 632, 15840, 17144, 568, 513, 13621, 1494, 540, 25812, 5174, 571, 7588, 1014, 2528, 267, 1148, 267, 543, 1034, 11932, 267, 1426, 269, 634, 2749, 779, 11477, 6429, 568, 606, 3235, 937, 545, 3575 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 9164, 827, 2081, 789, 1589, 596, 1223, 948, 1118, 513, 3017, 269, 1411, 1522, 1451, 1945, 1007, 689, 741, 2833, 2336, 265, 2878, 25332, 2925, 707, 10450, 4995, 6875, 4063, 540, 2199, 2152, 7133, 707, 2146, 267, 971, 607, 1396, 339, 1229, 10754, 267, 26130, 8933, 267, 610, 1648, 2914, 8463, 2853, 269, 6056, 827, 875, 596, 666, 2232, 891, 2042, 780, 1262, 3721, 476, 274, 281, 26805, 17904, 4373, 265, 2878, 308, 2955, 1018, 3653, 568, 4995, 17904, 4016, 547, 13311, 2326, 23987, 676, 3425, 267, 799, 1419, 1439, 909, 31362, 519, 1604, 563, 265, 2878, 26368, 2010, 540, 3653, 4995, 25800, 3054, 609, 1455, 3029, 540, 3653, 912, 453, 266, 21311, 14569, 267, 11435, 267, 2269, 9749, 454, 453, 266, 5253, 11183, 454, 453, 266, 7433, 2472, 630, 2908, 4944, 1653, 267, 21312, 994, 453, 266, 19371, 11149, 454, 453, 266, 18329, 3457, 454, 265, 2878, 25363, 618, 2242, 1262, 912, 453, 266, 2422, 23431, 10918, 11435, 3079, 540, 2582, 14025, 5068, 11435, 563, 453, 266, 7994, 2472, 609, 8766, 610, 27500, 11183, 563, 453, 266, 1234, 12860, 1957, 267, 4837, 267, 543, 5068, 3688, 7157, 563, 453, 266, 3680, 9140, 11991, 3688, 547, 2569, 2949, 4616, 780, 1262, 16498, 29568, 12833, 9407, 16001, 265, 670, 13783, 513, 23431, 9126, 1247, 10918, 454, 265, 1773, 5217, 6691, 762, 2326, 538, 11280, 25510, 454, 265, 2961, 11538, 513, 1201, 650, 762, 1216, 11480, 692, 1262, 14549, 29568, 12833, 9407, 16001, 265, 1306, 6362, 4558, 5520, 827, 10357, 7888, 1587, 3681, 454, 265, 9181, 532, 9657, 4808, 609, 7622, 2818, 610, 12543, 692, 1262, 3721, 476, 275, 281, 3117, 6326, 6052, 543, 4826, 4373, 265, 2878, 8139, 1648, 543, 1216, 6165, 4995, 6258, 827, 519, 2956, 540, 25137, 2067, 2200, 267, 1519, 5201, 267, 3154, 267, 543, 1216, 563, 265, 2878, 26594, 3527, 547, 18359, 1648, 1262, 912, 453, 266, 12414, 1055, 8279, 267, 11418, 267, 543, 14233, 950, 711, 538, 946, 563, 453, 266, 29799, 2757, 1769, 15620, 609, 10896, 8925, 563, 453, 266, 17797, 27687, 520, 5468, 547, 11126, 8022, 543, 9023, 563, 265, 2878, 12850, 22766, 4388, 1262, 912, 453, 266, 674, 1460, 13451, 344, 31316, 1115, 16425, 563, 453, 266, 6875, 10156, 29636, 630, 283, 276, 3764, 1916, 453, 266, 12305, 1970, 32704, 17643, 21650, 543, 30079, 780, 1262, 16498, 29568, 12833, 9407, 16001, 265, 4469, 6235, 17176, 547, 2490, 1055, 8279, 454, 265, 24296, 920, 9405, 2025, 1769, 15620, 543, 13868, 873, 609, 27178, 454, 265, 5695, 940, 31316, 564, 20362, 547, 4188, 1216, 2095, 692, 1262, 14549, 29568, 12833, 9407, 16001, 265, 769, 14127, 1866, 827, 519, 2640, 540, 1648, 18026, 2853, 454, 265, 18964, 7622, 2818, 547, 9772, 1216, 15926, 6326, 6208, 692, 1262, 3721, 476, 276, 281, 31896, 19029, 543, 25417, 681, 4078, 23667, 27557, 4373, 265, 2878, 763, 4644, 540, 4054, 4995, 19029, 10110, 3327, 8166, 267, 3132, 5135, 267, 543, 1489, 9265, 563, 265, 2878, 5522, 13589, 4054, 12725, 1262, 912, 453, 266, 3194, 7404, 11614, 267, 10651, 267, 610, 3039, 5624, 1141, 3529, 9544, 7341, 616, 25093, 563, 453, 266, 12160, 622, 538, 6896, 2621, 610, 15321, 3255, 563, 453, 266, 6333, 12561, 513, 3529, 268, 8690, 532, 1982, 693, 1153, 610, 960, 563, 265, 2878, 11045, 15659, 2518, 556, 16396, 3646, 1262, 912, 453, 266, 5213, 622, 547, 3906, 6131, 547, 556, 16396, 3785, 563, 453, 266, 24619, 4656, 827, 519, 2956, 540, 8497, 7733, 780, 1262, 16498, 29568, 12833, 9407, 16001, 265, 6226, 3101, 9475, 585, 1094, 31958, 454, 265, 30047, 19155, 1282, 9544, 2238, 454, 265, 4635, 12202, 2645, 547, 2226, 9241, 12630, 2127, 692, 1262, 14549, 29568, 12833, 9407, 16001, 265, 11622, 908, 609, 8284, 13538, 1282, 3529, 268, 8690, 532, 2621, 454, 265, 19457, 3872, 1543, 827, 17717, 543, 922, 4539, 692, 1262, 3721, 476, 277, 281, 3447, 908, 23126, 543, 11524, 4373, 265, 2878, 16676, 5224, 2069, 4995, 17115, 1224, 2835, 267, 4930, 267, 543, 2228, 2200, 5059, 593, 2825, 3584, 563, 265, 2878, 4537, 2130, 1702, 609, 1866, 1262, 912, 453, 266, 18918, 538, 16614, 7391, 609, 1346, 23387, 540, 8733, 4145, 563, 453, 266, 5029, 1125, 11925, 267, 14245, 267, 610, 1514, 2923, 11044, 547, 6318, 4656, 563, 453, 266, 23512, 790, 9905, 547, 6443, 13476, 6857, 2516, 610, 15731, 780, 1262, 16498, 29568, 12833, 9407, 16001, 265, 670, 13783, 1433, 6227, 610, 552, 22345, 619, 1247, 1565, 454, 265, 30557, 538, 4395, 540, 9458, 1282, 14245, 454, 265, 11978, 532, 6835, 610, 2870, 3308, 11226, 1210, 3059, 5867, 692, 1262, 14549, 29568, 12833, 9407, 16001, 265, 23016, 8362, 547, 4966, 262, 8369, 543, 5796, 454, 265, 13891, 908, 31635, 609, 17837, 540, 2825, 3123, 454, 265, 8490, 3347, 1369, 2825, 14223, 5121, 692, 1262, 6962, 4373, 23558, 593, 11264, 713, 3102, 3391, 256, 1635, 1739, 891, 3268, 267, 596, 4312, 3144, 2629, 1101, 26058, 2509, 4742, 606, 3742, 23784, 547, 19236, 5726, 269, 5457, 1384, 265, 5272, 1367, 4674, 8591, 909, 547, 1711, 513, 3677, 267, 811, 8101, 1764, 563, 265, 2142, 3461, 543, 10770, 282, 9434, 1689, 3340, 942, 267, 11428, 267, 543, 16177, 563, 265, 13773, 8049, 267, 3136, 1565, 267, 543, 3082, 547, 6932, 2591, 6849, 938, 4541, 780, 3086, 267, 979, 8521, 543, 8300, 1866, 547, 6443, 519, 3350, 2439, 14945, 1607, 5850, 6663, 547, 1683, 606, 29882, 267, 19444, 7888, 4199, 585, 4896, 3168, 547, 1376, 1818, 513, 2318, 1764, 593, 519, 1604, 269, 1635, 8840, 1524, 1950, 2035, 883, 29829, 3268, 267, 3988, 786, 1745, 23518, 547, 2253, 741, 6940, 15322, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 20055, 4934, 547, 16440, 3776, 14136, 257, 538, 519, 2511, 540, 14392, 585, 2576, 945, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2168, 543, 1480, 4205, 3238, 267, 1256, 519, 1034, 2596, 543, 6654, 3283, 267, 14322, 519, 5467, 2115, 713, 1344, 1100, 2339, 875, 2596, 621, 666, 3100, 269, 0, 8080, 547, 938, 4241, 3460, 883, 519, 1158, 540, 5122, 4702, 256, 5620, 596, 2479, 9289, 875, 5201, 1568, 286, 2107, 6148, 596, 4312, 2219, 827, 1018, 621, 3217, 547, 1628, 782, 1346, 3579, 5907, 3457, 602, 649, 946, 1169, 1554, 286, 4270, 267, 952, 865, 267, 1287, 713, 568, 519, 3501, 1747, 547, 1376, 1565, 2439, 4131, 781, 4952, 585, 513, 4090, 602, 596, 616, 593, 513, 5692, 547, 1831, 606, 834, 21328, 25817, 1701, 2659, 2816, 568, 547, 3605, 1007, 2081, 547, 1683, 1648, 547, 1004, 1247, 849, 7863, 938, 4190, 4541, 3047, 269, 1215, 1131, 596, 798, 713, 286, 2290, 1259, 1522, 581, 676, 4974, 5122, 4702, 256, 901, 2361, 9388, 609, 10451, 267, 23142, 267, 543, 1210, 5201, 9108, 543, 7561, 269, 898, 4249, 513, 1713, 1909, 538, 1082, 2127, 899, 1216, 2504, 267, 3282, 10868, 267, 1379, 2371, 267, 3859, 1648, 267, 543, 1454, 811, 780, 3086, 1577, 803, 2995, 596, 513, 5728, 910, 3388, 1472, 721, 12346, 593, 11387, 269, 27989, 616, 11444, 1141, 3167, 1699, 8928, 1063, 1079, 2798, 269, 5994, 873, 607, 6263, 9897, 14612, 676, 20538, 6517, 1572, 9211, 630, 6518, 616, 851, 540, 8444, 1040, 1677, 1711, 513, 5547, 267, 596, 991, 1614, 2596, 3334, 281, 513, 6453, 2707, 630, 320, 6007, 1070, 26423, 630, 342, 2231, 1070, 543, 513, 4452, 630, 3697, 513, 1769, 15941, 1040, 1879, 4448, 7157, 267, 891, 2694, 1450, 519, 9211, 547, 2095, 998, 519, 12904, 543, 3132, 1769, 267, 3002, 267, 610, 1022, 824, 1106, 540, 1648, 2439, 3719, 1946, 1281, 713, 1256, 2339, 286, 2913, 781, 1491, 513, 1413, 693, 1483, 8996, 2042, 602, 8030, 3068, 3232, 269, 1280, 3236, 267, 1705, 596, 917, 602, 930, 4025, 723, 3908, 1569, 547, 2973, 6704, 1216, 286, 15379, 8030, 666, 948, 4194, 713, 3390, 676, 8888, 1949, 602, 2721, 1216, 689, 11895, 2959, 1210, 3532, 15450, 269, 1452, 6191, 2154, 6266, 540, 5201, 267, 799, 1797, 4466, 3608, 2081, 547, 5352, 543, 10141, 1379, 3587, 2629, 269, 2334, 781, 1141, 7791, 1648, 2501, 538, 13561, 256, 1635, 19713, 7943, 610, 2842, 267, 649, 666, 1711, 22928, 3435, 602, 4324, 1312, 3425, 543, 2470, 780, 5194, 1383, 3322, 3695, 4244, 2409, 585, 6721, 5201, 269, 12465, 1379, 2371, 1419, 6633, 8093, 10173, 899, 5755, 610, 2067, 3154, 267, 16089, 5739, 9362, 883, 519, 5790, 269, 1306, 834, 21328, 10812, 3464, 2437, 649, 1616, 547, 1265, 1732, 8925, 269, 9891, 8440, 6460, 7943, 2047, 883, 5201, 267, 1818, 873, 606, 5140, 4781, 585, 4525, 609, 10731, 24106, 269, 1717, 267, 789, 1869, 991, 6454, 3823, 4398, 543, 4859, 7207, 269, 1924, 972, 781, 7899, 540, 4055, 585, 5647, 2439, 3383, 1631, 602, 596, 1174, 519, 9238, 540, 5122, 4702, 543, 922, 2956, 1577, 781, 4685, 4514, 883, 1808, 3584, 971, 607, 27856, 267, 29522, 267, 543, 20367, 1699, 269, 5213, 1405, 5855, 282, 594, 9153, 547, 2491, 1142, 1523, 5693, 543, 13801, 569, 267, 9319, 11991, 3822, 269, 8625, 267, 649, 786, 12260, 519, 13655, 3297, 519, 2029, 5935, 938, 2729, 543, 1020, 5499, 3435, 585, 513, 4264, 2104, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8294, 12022, 20254, 28257, 14507, 18716, 28519, 12168, 357, 28405, 25078, 14534, 24291, 20901, 14180, 21333, 25078, 29756, 24291, 405, 481, 20901, 14507, 24220, 8294, 404, 355, 18716, 29756, 454, 8294, 12022, 20901, 14180, 21333, 25078, 29756, 24291, 405, 481, 20901, 14507, 24220, 8294, 404, 355, 18716, 29756, 27755, 20254, 404, 374, 18716, 14507, 29756, 476, 15906, 14534, 20254, 404, 371, 15906, 14507, 29756, 12168, 357, 404, 368, 405, 481, 12022, 12168, 367, 14507, 18716, 28257, 476, 15906, 12168, 359, 404, 362, 21333, 14534, 12168, 511, 28405, 15906, 12022, 12168, 368, 20254, 405, 487, 476, 28519, 8294, 12022, 20254, 15906, 25078, 28257, 476, 28519, 18716, 12168, 363, 15906, 14507, 24291, 20901, 14180, 21333, 25078, 29756, 24291, 405, 481, 20901, 14507, 24220, 8294, 404, 355, 18716, 29756, 12168, 352, 404, 369, 24220, 404, 511, 476, 18716, 28257, 405, 481, 25078, 476, 28519, 8294, 28257, 12022, 18716, 29756, 476, 15906, 12168, 359, 404, 371, 15906, 14507, 12168, 511, 28405, 15906, 12022, 24291, 28257, 14534, 12022, 476, 28519, 18716, 27755, 404, 362, 20254, 12022, 28519, 24291, 20254, 404, 362, 404, 369, 404, 369, 8294, 20254, 476, 15906, 476, 12022, 12022, 15906, 404, 369, 15906, 12022, 12168, 354, 12022, 405, 487, 24291, 20254, 14534, 18716, 404, 366, 476, 28519, 28405, 21333, 12168, 352, 28257, 21333, 24291, 24220, 14507, 14180, 8294, 14534, 404, 361, 24291, 21333, 14507, 8294, 25078, 18716, 476, 12022, 18716, 405, 481, 15906, 14180, 12168, 368, 8294, 14534, 12022, 8294, 405, 489, 476, 15906, 28405, 14507, 18716, 24220, 8294, 405, 489, 27755, 14180, 27755, 20254, 404, 371, 12022, 24220, 8294, 20254, 476, 15906, 8294, 404, 511, 20254, 18716, 8294, 404, 361, 8294, 20254, 24291, 14534, 404, 361, 20254, 14534, 28257, 27755, 14180, 24291, 404, 371, 8294, 28405, 29756, 24291, 405, 481, 20901, 14507, 24220, 8294, 404, 355, 18716, 29756, 476, 15906, 12022, 18716, 405, 481, 15906, 14180, 476, 12022, 12022, 404, 371, 8294, 12022, 24220, 12168, 357, 28257, 21333, 8294, 405, 489, 12168, 352, 404, 362, 14507, 476, 28519, 18716, 476, 14180, 404, 370, 14507, 20254, 20901, 476, 12022, 12022, 404, 371, 8294, 28405, 29756, 24291, 24220, 21333, 18716, 12022, 29756, 476, 15906, 12168, 352, 20901, 14534, 18716, 20254, 20901, 8294, 476, 28519, 18716, 24291, 8294, 25078, 20254, 14534, 14507, 8294, 14507, 18716, 29756, 476, 15906, 24291, 14534, 404, 511, 8294, 28519, 404, 372, 29756, 12168, 373, 12022, 405, 487, 24291, 24220, 18716, 404, 355, 29756, 24291, 20254, 18716, 12168, 359, 15906, 8294, 404, 361, 20901, 20901, 8294, 12168, 359, 404, 511, 21333, 18716, 8294, 20254, 12168, 361, 14534, 29756, 12168, 357, 14534, 14180, 404, 371, 28405, 29756, 24291, 15906, 8294, 404, 511, 8294, 20254, 476, 14180, 20254, 18716, 404, 361, 29756, 12168, 359, 12022, 15906, 404, 360, 24291, 14534, 18716, 8294, 20901, 24291, 404, 361, 15906, 28519, 18716, 29756, 476, 15906, 24291, 20901, 15906, 8294, 404, 350, 24291, 14534, 404, 369, 8294, 404, 511, 24220, 18716, 14180, 476, 12022, 404, 354, 14180, 20254, 8294, 404, 361, 24291, 14180, 28519, 404, 371, 476, 15906, 8294, 12022, 404, 374, 8294, 404, 366, 476, 15906, 28519, 28405, 14507, 24291, 24220, 14180, 18716, 29756, 24291, 20254, 404, 511, 20254, 18716, 29756, 563, 12022, 12022, 404, 511, 404, 369, 15906, 12022, 12168, 373, 12022, 405, 487, 27755, 14507 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 8256, 3569, 543, 18401, 454, 3725, 11734, 666, 581, 6913, 676, 7863, 519, 2298, 540, 922, 7226, 543, 676, 19620, 7123, 543, 14323, 5095, 547, 519, 23572, 689, 799, 621, 814, 1044, 970, 597, 335, 730, 269, 634, 772, 2529, 269, 12551, 543, 13812, 6796, 267, 519, 13325, 4325, 548, 1670, 5980, 267, 543, 519, 13325, 4972, 540, 7849, 8249, 267, 616, 14236, 519, 4644, 540, 13946, 1471, 2787, 607, 513, 3463, 547, 519, 2249, 563, 763, 13325, 13946, 16822, 760, 617, 568, 7396, 607, 606, 13155, 2249, 896, 519, 13325, 29510, 15661, 10466, 2920, 269, 1306, 971, 267, 621, 568, 6870, 689, 1463, 2921, 630, 328, 4318, 1421, 5945, 610, 9019, 264, 7488, 540, 2436, 621, 4386, 593, 1857, 610, 4357, 2244, 269, 1717, 267, 1533, 1876, 1281, 711, 2149, 2249, 689, 9940, 2800, 267, 971, 607, 7226, 27327, 269, 1306, 1279, 607, 519, 3527, 540, 4357, 2244, 14935, 616, 6382, 538, 10220, 609, 519, 1876, 267, 3527, 602, 6861, 610, 31358, 7226, 585, 713, 2249, 616, 4847, 896, 13325, 1876, 563, 308, 269, 590, 269, 12551, 543, 13812, 6796, 269, 476, 274, 5181, 476, 1960, 279, 269, 834, 17484, 11139, 543, 21784, 2989, 13812, 543, 12518, 282, 15937, 14329, 1677, 5903, 519, 13325, 29190, 2549, 874, 760, 617, 607, 29510, 1701, 8549, 19193, 476, 8287, 630, 14378, 2567, 476, 5379, 280, 876, 268, 5379, 280, 1015, 269, 0, 10376, 3018, 649, 3580, 1491, 513, 1900, 1394, 883, 519, 1686, 540, 4279, 645, 754, 998, 519, 4064, 540, 1065, 13024, 2250, 269, 1284, 3580, 556, 659, 638, 5593, 596, 609, 1018, 4682, 883, 2870, 519, 4279, 645, 754, 540, 2221, 267, 543, 798, 938, 1655, 547, 9337, 596, 593, 1018, 968, 1492, 1964, 540, 519, 1650, 892, 5828, 856, 547, 581, 563, 3080, 3620, 4348, 6253, 8812, 1296, 3516, 2221, 267, 4892, 941, 5189, 547, 519, 3703, 19792, 15593, 6674, 29385, 609, 519, 8313, 540, 519, 1101, 2475, 7160, 540, 15593, 6674, 29385, 1101, 3209, 3259, 1650, 267, 968, 288, 5530, 538, 25753, 2280, 281, 676, 1488, 327, 584, 1230, 534, 667, 1195, 548, 269, 898, 729, 3370, 538, 4789, 1614, 1296, 1991, 267, 1310, 1101, 17729, 538, 606, 21372, 12139, 1572, 2142, 17662, 779, 8285, 1325, 2006, 659, 896, 519, 2140, 968, 288, 19358, 1194, 28024, 514, 1848, 769, 476, 6642, 279, 267, 621, 729, 3370, 538, 1433, 1106, 267, 609, 12383, 6537, 676, 519, 2278, 779, 4651, 269, 4340, 547, 519, 9504, 2985, 585, 519, 1650, 267, 968, 320, 2034, 7160, 7902, 519, 1739, 1032, 543, 729, 11609, 676, 6723, 670, 8553, 8657, 282, 513, 1032, 2663, 538, 476, 6245, 271, 267, 808, 269, 645, 269, 700, 2089, 4532, 2714, 1299, 3213, 269, 5950, 519, 1101, 1977, 4528, 269, 26597, 2417, 21820, 267, 16627, 543, 5559, 15384, 725, 723, 7902, 2094, 3034, 288, 5530, 538, 25753, 2280, 568, 519, 1101, 942, 513, 19792, 568, 4330, 607, 1210, 513, 3172, 4328, 4837, 538, 513, 3209, 563, 1103, 519, 476, 6245, 271, 779, 17476, 543, 14786, 5781, 12286, 2110, 2984, 267, 17626, 9089, 267, 6965, 267, 543, 12383, 941, 1688, 6537, 267, 607, 23252, 1185, 2943, 547, 3501, 10014, 540, 6337, 269, 4139, 543, 3084, 3377, 729, 3177, 2059, 609, 1533, 543, 2199, 3377, 269, 7981, 1436, 540, 1543, 7012, 1406, 513, 3364, 1394, 1287, 269, 1656, 3377, 14612, 7444, 267, 865, 950, 3168, 693, 3140, 30300, 1513, 540, 2221, 267, 972, 568, 2370, 602, 5330, 539, 538, 1483, 942, 1394, 1287, 269, 1879, 649, 6743, 1394, 693, 519, 19258, 517, 6019, 19391, 520, 689, 4924, 269, 476, 2767, 267, 476, 6245, 271, 543, 4728, 476, 277, 267, 476, 6245, 271, 267, 649, 14201, 1406, 14281, 547, 1265, 1100, 2446, 540, 513, 15593, 6674, 29385, 1433, 269, 6145, 569, 267, 621, 1131, 581, 4374, 267, 3275, 267, 7654, 1256, 513, 1032, 610, 811, 1354, 972, 1131, 581, 1022, 12591, 827, 610, 676, 1230, 534, 667, 1195, 548, 269, 16828, 267, 15593, 6674, 29385, 2110, 2984, 543, 1583, 10118, 941, 6035, 267, 543, 1256, 513, 5618, 13371, 14816, 610, 1079, 538, 2663, 1296, 563, 9213, 267, 649, 1521, 938, 3988, 547, 513, 1494, 2000, 3089, 540, 476, 6245, 271, 338, 5359, 543, 23278, 4925, 689, 519, 19258, 517, 6019, 19391, 520, 269, 898, 729, 513, 12353, 1957, 856, 540, 4279, 645, 754, 267, 543, 2841, 539, 2047, 609, 519, 4279, 645, 754, 19193, 267, 513, 17044, 1957, 267, 799, 729, 849, 513, 12353, 269, 1452, 5359, 2709, 10881, 547, 1018, 729, 593, 519, 8186, 540, 19258, 517, 6019, 3988, 950, 519, 10315, 729, 1869, 1007, 563, 1103, 476, 6642, 271, 267, 918, 553, 19063, 5293, 513, 13338, 17203, 10238, 1746, 519, 5478, 543, 9042, 540, 883, 13877, 908, 4508, 832, 538, 519, 1533, 267, 799, 3576, 1198, 538, 5130, 476, 6642, 272, 269, 1809, 267, 11268, 729, 561, 1314, 267, 543, 1082, 17521, 5828, 513, 9420, 3750, 269, 19372, 906, 941, 1572, 968, 329, 2002, 338, 892, 543, 789, 786, 5944, 6976, 519, 1269, 1911, 10865, 5386, 538, 1931, 547, 3251, 1930, 269, 1635, 476, 6245, 271, 267, 2687, 547, 519, 17857, 3557, 8466, 5980, 267, 519, 2191, 766, 3350, 535, 5306, 1229, 267, 1498, 621, 2760, 4503, 1489, 269, 634, 19391, 520, 729, 4904, 609, 8100, 543, 5359, 912, 2108, 15124, 645, 754, 4574, 1867, 6705, 521, 12976, 28113, 269, 1306, 782, 540, 519, 10549, 972, 616, 1869, 4881, 267, 621, 568, 21483, 621, 949, 581, 3552, 28113, 1848, 2443, 654, 747, 7534, 5240, 5174, 324, 13154, 454, 10527, 2243, 1631, 14340, 968, 1432, 786, 519, 7556, 581, 18313, 10527, 4279, 645, 754, 12504, 945, 3893, 513, 28185, 540, 22090, 5652, 267, 3576, 621, 1753, 543, 2322, 621, 1524, 1591, 541, 267, 543, 1287, 1336, 267, 519, 1985, 942, 646, 4682, 1524, 547, 1294, 602, 519, 12277, 1185, 711, 13792, 267, 602, 1010, 7385, 1185, 5828, 519, 795, 1872, 26700, 1524, 543, 29709, 547, 2322, 519, 524, 1251, 538, 267, 568, 1631, 538, 3870, 540, 759, 889, 3939, 269, 2368, 2021, 616, 7357, 1932, 2219, 1652, 3034, 2108, 4263, 513, 29611, 5870, 4371, 538, 570, 2100, 6390, 593, 4924, 269, 476, 2918, 267, 12968, 269, 15656, 16299, 773, 267, 540, 12309, 267, 16094, 6450, 4157, 539, 519, 10315, 27192, 540, 737, 12436, 945, 267, 1247, 5910, 2056, 547, 17997, 519, 10238, 7480, 1876, 267, 7608, 554, 2313, 2724, 543, 11542, 538, 609, 519, 4745, 1235, 269, 1261, 11943, 676, 14344, 602, 607, 606, 7493, 20790, 29611, 1185, 1044, 513, 5821, 538, 1169, 1533, 1141, 621, 1185, 1044, 6836, 1317, 8387, 11221, 676, 14081, 534, 16018, 1185, 711, 24451, 621, 3034, 3682, 22128, 729, 1152, 835, 6161, 538, 19258, 517, 6019, 269, 20579, 14554, 941, 2324, 1996, 6705, 538, 476, 6245, 271, 563, 2108, 3891, 2893, 538, 519, 7450, 693, 1100, 10185, 267, 24949, 543, 1350, 636, 543, 8909, 282, 2156, 5317, 936, 519, 3902, 540, 8970, 543, 23115, 875, 1454, 646, 1185, 269, 1261, 1185, 5249, 689, 2038, 5614, 5503, 267, 2038, 543, 3735, 267, 543, 2182, 267, 543, 1631, 646, 729, 10203, 1010, 2063, 7221, 543, 23115, 856, 1010, 8007, 269, 1261, 23125, 621, 3576, 1079, 14143, 547, 4444, 1010, 1614, 8695, 1007, 25192, 267, 543, 4557, 14143, 811, 593, 1283, 540, 602, 547, 3514, 873, 856, 609, 1007, 17015, 269, 1677, 16179, 1010, 7385, 513, 6870, 10571, 621, 3576, 476, 1911, 1668, 515, 3149, 811, 267, 1247, 2947, 14143, 4682, 538, 513, 4396, 26686, 585, 24095, 593, 519, 6989, 269, 3571, 9204, 543, 1010, 17365, 3915, 12842, 1010, 7693, 540, 28113, 267, 1247, 519, 1719, 593, 1010, 3484, 20251, 3576, 782, 1010, 3170, 1084, 539, 15524, 1846, 269, 634, 30133, 593, 1010, 10800, 8774, 267, 543, 519, 29421, 585, 1010, 28561, 267, 1185, 13881, 909, 1010, 14132, 2848, 619, 543, 519, 3666, 540, 1010, 8970, 269, 1924, 646, 2893, 538, 1010, 7450, 693, 1100, 10185, 267, 24949, 543, 1350, 636, 543, 15319, 267, 607, 646, 23125, 909, 1010, 5763, 513, 2370, 1447, 982, 621, 729, 519, 1032, 1354, 269, 968, 3528, 10733, 267, 789, 2161, 594, 6557, 6870, 267, 855, 594, 917, 972, 568, 1945, 4636, 282, 594, 4076, 1044, 13587, 1882, 543, 575, 592, 1194, 543, 26372, 342, 22075, 676, 713, 8825, 5152, 269, 1358, 5143, 540, 15141, 1190, 911, 6002, 543, 4371, 909, 519, 26481, 986, 326, 267, 543, 594, 4553, 2059, 899, 513, 22481, 267, 543, 1631, 594, 6557, 8066, 519, 9126, 269, 1809, 689, 713, 942, 593, 594, 3580, 8495, 543, 1205, 547, 519, 5377, 540, 5013, 267, 543, 594, 3580, 581, 1269, 275, 267, 547, 2253, 609, 267, 602, 519, 13545, 858, 568, 513, 3454, 3034, 28317, 1906, 2395, 2094, 513, 16027, 3357, 547, 4884, 609, 513, 1360, 1507, 19619, 540, 17944, 896, 1010, 6186, 543, 4682, 1753, 609, 1269, 275, 269, 1839, 538, 6666, 538, 1010, 22836, 269, 634, 7887, 2186, 540, 513, 4452, 540, 8970, 693, 476, 1691, 21347, 513, 1668, 3559, 1131, 2179, 547, 1447, 982, 1269, 275, 269, 1839, 269, 2290, 21039, 9269, 786, 6133, 585, 3592, 607, 1454, 607, 1614, 1668, 515, 3149, 540, 8970, 3034, 2108, 4131, 779, 1294, 267, 513, 1668, 3559, 540, 8970, 2306, 2185, 17529, 540, 4508, 528, 267, 519, 10685, 3902, 540, 799, 568, 28465, 9489, 269, 901, 2040, 568, 1016, 323, 22866, 607, 5205, 281, 519, 16027, 945, 12651, 519, 8970, 267, 476, 1839, 21347, 282, 519, 2229, 267, 1269, 274, 269, 2568, 282, 519, 1253, 14525, 267, 1269, 275, 282, 26708, 267, 1269, 272, 282, 519, 2892, 3019, 1183, 4177, 267, 1269, 278, 269, 1428, 282, 519, 7082, 2443, 15315, 1848, 2443, 14642, 720, 6019, 20048, 1834, 563, 7661, 267, 1934, 779, 513, 1867, 593, 513, 1085, 600, 267, 610, 538, 476, 6245, 271, 6741, 752, 267, 513, 10325, 267, 799, 1522, 723, 19430, 15593, 6674, 29385, 5128, 547, 6318, 1010, 3172, 4328, 4837, 563, 28317, 5857, 704, 609, 513, 1007, 10325, 568, 10707, 998, 930, 540, 519, 15231, 2829, 267, 543, 949, 849, 10880, 713, 3296, 269, 3571, 1505, 540, 5665, 568, 607, 5205, 281, 1261, 814, 606, 4824, 726, 578, 2671, 267, 799, 646, 12029, 547, 930, 9565, 16027, 609, 519, 11865, 602, 952, 621, 18327, 25685, 646, 786, 4363, 621, 547, 1010, 12543, 267, 543, 952, 267, 693, 519, 1439, 540, 519, 4005, 267, 646, 1281, 711, 6999, 547, 1832, 621, 646, 568, 547, 2132, 621, 547, 606, 2232, 799, 568, 2016, 1864, 269, 1403, 519, 5667, 639, 1051, 532, 16027, 23216, 547, 798, 713, 519, 5857, 704, 786, 2328, 606, 2376, 540, 6876, 269, 901, 2376, 568, 2854, 609, 513, 15116, 569, 9112, 32446, 4050, 267, 1934, 1373, 1079, 735, 25902, 538, 519, 23649, 799, 3568, 1079, 5686, 540, 13504, 835, 540, 799, 786, 28201, 2476, 538, 513, 2110, 942, 1310, 1373, 2854, 267, 1247, 519, 824, 786, 2611, 269, 2060, 519, 5449, 646, 11339, 519, 2376, 543, 4657, 519, 1649, 3946, 621, 547, 519, 16027, 267, 945, 4191, 1010, 2012, 609, 519, 8545, 2186, 269, 634, 1267, 568, 602, 519, 1913, 540, 519, 2376, 4166, 3068, 543, 519, 5857, 704, 814, 513, 4062, 540, 3043, 1957, 609, 519, 16027, 779, 2012, 519, 1258, 267, 543, 666, 1118, 621, 883, 513, 4063, 540, 1022, 21000, 1588, 693, 1010, 16837, 1848, 2443, 13053, 4750, 0, 1103, 17860, 14328, 4396, 1570, 630, 305, 9391, 264, 4070, 267, 519, 2868, 5979, 30021, 630, 26774, 264, 729, 2919, 547, 3728, 523, 2326, 971, 607, 5374, 594, 15515, 4461, 547, 713, 17860, 855, 2178, 1570, 269, 670, 18099, 30021, 3728, 22211, 616, 1031, 1472, 519, 1158, 538, 519, 4070, 540, 3818, 3613, 800, 5656, 267, 13123, 267, 19814, 936, 10139, 525, 543, 1585, 824, 3156, 1141, 4396, 4496, 17860, 338, 616, 3728, 2989, 1927, 269, 4855, 856, 811, 827, 875, 519, 2868, 5979, 30021, 1568, 2630, 563, 23044, 17656, 568, 519, 1184, 540, 17656, 513, 8559, 998, 17860, 7293, 2326, 267, 971, 607, 14328, 5374, 12992, 267, 1510, 2965, 9427, 1022, 540, 519, 4496, 269, 634, 8559, 568, 8850, 20177, 1472, 922, 6316, 607, 621, 568, 4646, 269, 589, 1907, 1572, 513, 8142, 539, 5066, 1287, 14405, 513, 8142, 593, 519, 18592, 540, 519, 8559, 267, 3850, 621, 547, 3398, 513, 3044, 8142, 539, 30021, 607, 513, 3728, 10273, 563, 763, 670, 18099, 12157, 339, 454, 763, 670, 18099, 5174, 27117, 10198, 814, 476, 274, 2694, 267, 519, 13409, 267, 519, 1560, 543, 454, 10193, 519, 8142, 539 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7446, 547, 11168, 2696, 781, 23502, 538, 1010, 18591, 269, 1717, 267, 519, 2038, 15352, 781, 2203, 540, 5718, 814, 28815, 267, 543, 1010, 12004, 10455, 3256, 538, 519, 1032, 476, 19442, 9672, 1010, 1383, 540, 2868, 1465, 563, 10303, 1100, 4625, 22973, 12092, 540, 15352, 11910, 626, 639, 594, 6818, 267, 12206, 723, 1044, 7142, 547, 7048, 593, 606, 2272, 676, 1010, 4207, 26194, 8432, 339, 639, 540, 7507, 269, 4014, 26194, 8432, 339, 639, 5128, 729, 5555, 11028, 4290, 539, 547, 519, 5783, 543, 17374, 1242, 607, 513, 12004, 10455, 267, 646, 4938, 958, 10353, 519, 533, 2632, 881, 622, 540, 11910, 626, 639, 543, 1614, 540, 1010, 1967, 832, 267, 547, 519, 1448, 540, 721, 584, 4771, 13099, 531, 840, 5766, 2510, 585, 5128, 630, 553, 519, 1101, 968, 656, 760, 2100, 26158, 11048, 267, 1010, 2272, 540, 11910, 626, 639, 262, 1272, 543, 13099, 2329, 2488, 1271, 3877, 563, 6097, 547, 26194, 8432, 339, 639, 262, 2272, 267, 11910, 626, 639, 1107, 4171, 1032, 540, 4332, 568, 711, 1634, 910, 3459, 1010, 4876, 607, 513, 3810, 13807, 3166, 6469, 22700, 267, 5555, 2921, 5539, 585, 1010, 4487, 781, 12948, 1870, 269, 1879, 519, 4871, 8959, 267, 11910, 626, 639, 4607, 519, 16620, 267, 543, 13986, 547, 25176, 689, 1010, 4487, 269, 9861, 4362, 267, 646, 729, 1629, 6838, 547, 4196, 607, 513, 8261, 28346, 337, 538, 7507, 269, 4935, 267, 896, 538, 9476, 335, 5534, 6381, 267, 11910, 626, 639, 3357, 607, 513, 10553, 547, 519, 2749, 1141, 646, 1131, 2663, 4196, 607, 15352, 563, 12385, 1562, 4682, 689, 3983, 547, 8338, 950, 646, 729, 2366, 547, 960, 538, 519, 15183, 267, 7654, 585, 4929, 513, 1857, 19717, 267, 952, 26194, 8432, 339, 639, 262, 2272, 568, 547, 581, 11967, 269, 1717, 267, 11910, 626, 639, 949, 849, 3274, 723, 1044, 30992, 1813, 547, 513, 20655, 540, 10271, 267, 607, 646, 729, 1851, 519, 1082, 21071, 5555, 15685, 593, 519, 11036, 540, 15352, 853, 269, 8841, 594, 563, 7628, 519, 7766, 12081, 540, 15352, 2098, 788, 1506, 12541, 639, 267, 11910, 626, 639, 2968, 513, 632, 13154, 543, 519, 1416, 339, 6033, 540, 513, 2101, 4936, 4168, 28200, 630, 6518, 1869, 12217, 1010, 2012, 607, 519, 968, 290, 19521, 540, 853, 269, 11910, 626, 639, 25257, 538, 1840, 547, 1443, 2358, 519, 15352, 593, 24396, 27900, 540, 519, 1554, 269, 1261, 729, 513, 2067, 11134, 547, 1246, 2098, 788, 1506, 12541, 639, 267, 950, 519, 8545, 5747, 538, 476, 25546, 269, 0, 289, 5735, 8074, 1504, 281, 476, 5881, 269, 6860, 4053, 4788, 267, 28024, 13762, 267, 543, 6715, 2163, 776, 11917, 16633, 281, 6440, 271, 27855, 519, 2497, 543, 3252, 540, 519, 20258, 1062, 6440, 272, 27855, 519, 2497, 543, 3252, 540, 519, 16757, 1062, 6440, 273, 23737, 875, 519, 16757, 543, 20258, 1949, 960, 1927, 6440, 274, 23737, 602, 519, 4102, 1418, 538, 519, 1560, 568, 849, 1560, 779, 1101, 1899, 540, 8878, 1996, 13596, 7659, 5999, 543, 16301, 24687, 763, 28024, 13762, 3590, 1432, 568, 519, 20258, 1062, 1500, 540, 286, 331, 1516, 5160, 8266, 543, 4766, 519, 3252, 540, 519, 20258, 1062, 269, 272, 2529, 6269, 677, 281, 634, 22403, 779, 7633, 2285, 1489, 543, 3337, 547, 519, 1560, 269, 273, 269, 3682, 339, 1254, 281, 645, 2158, 2149, 519, 4835, 8219, 540, 519, 1560, 269, 274, 8160, 913, 618, 281, 634, 22403, 814, 513, 1062, 540, 10549, 543, 682, 951, 602, 11282, 609, 6091, 547, 3132, 3350, 269, 275, 8160, 514, 1968, 19554, 281, 645, 2158, 2270, 14425, 540, 6886, 267, 971, 607, 7513, 267, 602, 616, 1271, 547, 3157, 538, 519, 1560, 269, 24269, 7513, 2157, 538, 519, 1973, 616, 1970, 267, 930, 540, 519, 6740, 7513, 568, 5950, 689, 519, 7633, 269, 276, 269, 26108, 8426, 19725, 281, 10552, 2281, 616, 3812, 538, 519, 2571, 20768, 5160, 602, 24831, 519, 4835, 19659, 540, 930, 7633, 23130, 568, 519, 30212, 22403, 286, 763, 7633, 602, 1489, 519, 3844, 7852, 540, 519, 1560, 267, 1519, 519, 5578, 9451, 13887, 6241, 267, 606, 10775, 21799, 23130, 568, 519, 16289, 7781, 22403, 286, 763, 7633, 540, 554, 974, 7916, 267, 7953, 2073, 10652, 6665, 267, 543, 695, 27212, 2127, 11065, 821, 12856, 27855, 519, 6106, 540, 5642, 281, 6440, 275, 290, 691, 18382, 6440, 276, 8967, 784, 344, 24942, 6440, 277, 15253, 716, 24942, 6440, 278, 289, 821, 3057, 992, 6440, 279, 8110, 328, 739, 324, 636, 6440, 1556, 14295, 18382, 290, 691, 18382, 568, 513, 10053, 543, 32248, 6219, 602, 568, 2178, 855, 8465, 269, 898, 666, 581, 1336, 538, 8465, 2694, 540, 519, 1560, 267, 971, 607, 519, 9224, 543, 792, 267, 543, 849, 538, 519, 2127, 1141, 7633, 2743, 269, 14295, 18382, 849, 9428, 2282, 519, 2208, 10824, 693, 454, 6440, 280, 302, 4614, 16438, 770, 6440, 1015, 27777, 29793, 4292, 2416, 1439, 540, 1279, 7633, 267, 971, 607, 1346, 538, 519, 7916, 543, 7953, 269, 901, 20162, 568, 7930, 8719, 676, 5642, 5160, 267, 1818, 519, 1631, 3476, 5642, 6793, 269, 1703, 616, 1100, 1973, 8043, 1369, 20162, 899, 972, 616, 1369, 3020, 5642, 269, 5502, 267, 20162, 2281, 4309, 5567, 998, 18236, 689, 519, 15231, 1973, 8043, 543, 5160, 269, 6440, 1321, 1975, 784, 344, 24942, 288, 4494, 540, 1447, 10053, 29008, 344, 5642, 949, 581, 1336, 896, 519, 9018, 4494, 540, 11741, 5642, 269, 1975, 784, 344, 5642, 568, 711, 2571, 543, 2695, 880, 344, 899, 513, 10051, 26703, 269, 898, 568, 2965, 513, 2178, 3060, 540, 6094, 11103, 602, 8591, 4222, 547, 519, 5642, 1510, 4946, 1454, 4430, 2597, 269, 6440, 1724, 3281, 716, 24942, 289, 2940, 987, 519, 31971, 739, 324, 636, 568, 513, 10053, 4494, 540, 11741, 5642, 269, 715, 12883, 543, 1973, 8043, 2196, 998, 713, 4494, 538, 9055, 269, 6440, 1691, 24942, 3057, 992, 6624, 7633, 723, 606, 6418, 13570, 540, 2571, 5160, 21406, 5642, 20768, 269, 14117, 20768, 568, 1500, 909, 540, 2281, 602, 4558, 3170, 267, 1247, 2699, 20768, 3568, 6565, 2281, 602, 3132, 1034, 2010, 540, 1973, 2281, 269, 6440, 1428, 3131, 328, 739, 324, 636, 763, 14461, 3544, 540, 519, 5642, 568, 513, 9157, 4494, 540, 24561, 5160, 1572, 519, 31971, 739, 324, 636, 269, 0, 1911, 260, 263, 273, 264, 273, 856, 540, 476, 273, 1004, 1336, 713, 3561, 5363, 454, 1607, 12744, 2982, 2985, 476, 272, 910, 476, 274, 856, 540, 476, 276, 3817, 563, 7343, 21043, 645, 295, 3041, 270, 12893, 19405, 476, 4029, 10112, 1539, 622, 5426, 7698, 7343, 21043, 7460, 13415, 540, 519, 7169, 4467, 921, 339, 9220, 7470, 676, 10503, 1142, 840, 21351, 2680, 543, 7713, 875, 621, 8329, 547, 519, 21829, 2782, 269, 7093, 8862, 541, 30631, 20373, 6944, 9084, 547, 519, 21829, 2782, 23210, 543, 4095, 2782, 763, 3943, 543, 4095, 2782, 729, 519, 3345, 1977, 14364, 540, 519, 5001, 18599, 13012, 262, 2782, 269, 634, 2112, 729, 10692, 1063, 519, 10125, 540, 3703, 3013, 543, 1715, 5333, 267, 609, 1312, 5011, 6462, 676, 4108, 4559, 689, 741, 2385, 2477, 540, 4279, 6628, 543, 5333, 267, 607, 1134, 607, 7111, 1977, 16167, 269, 2311, 519, 1376, 540, 519, 2112, 267, 519, 3943, 3345, 1977, 10125, 1185, 513, 2551, 540, 10199, 476, 2568, 267, 1822, 3379, 547, 476, 273, 2929, 538, 519, 2296, 3345, 1977, 10125, 269, 634, 856, 333, 3518, 1229, 3943, 3226, 31030, 593, 519, 12075, 269, 7043, 538, 4655, 267, 519, 1558, 549, 15393, 6082, 10294, 2112, 593, 1142, 824, 538, 476, 11260, 277, 267, 32117, 519, 8705, 689, 513, 6237, 26035, 883, 606, 3486, 4655, 7868, 2296, 543, 519, 3943, 10599, 1194, 585, 7810, 28735, 538, 3345, 3013, 267, 519, 12144, 267, 543, 538, 3127, 269, 634, 2296, 1705, 6038, 2097, 547, 20441, 519, 7810, 856, 14006, 338, 267, 855, 693, 513, 1942, 521, 739, 30452, 602, 519, 4611, 7963, 5176, 10032, 519, 2296, 2229, 269, 898, 729, 602, 7963, 602, 3361, 519, 15583, 566, 540, 13253, 3056, 547, 519, 21829, 2782, 269, 12057, 729, 26525, 547, 3489, 1079, 6859, 282, 1101, 267, 547, 3454, 519, 10125, 547, 9156, 1395, 625, 1163, 2105, 593, 519, 6370, 936, 3345, 3013, 267, 543, 2034, 547, 11177, 519, 20656, 540, 519, 5101, 3127, 7577, 538, 606, 4674, 547, 9156, 1395, 625, 6170, 593, 519, 6370, 936, 3127, 2529, 13610, 2920, 4002, 4989, 476, 276, 267, 476, 12293, 275, 267, 12057, 5293, 513, 9168, 4528, 540, 519, 17491, 543, 20703, 13293, 2920, 630, 15876, 274, 1070, 799, 729, 827, 547, 1163, 790, 269, 7201, 519, 20703, 13293, 2920, 7810, 22278, 1185, 1044, 2838, 547, 2628, 513, 3454, 540, 3670, 533, 775, 829, 20645, 593, 519, 1104, 566, 540, 4914, 12387, 13293, 269, 1809, 1317, 540, 13313, 267, 789, 6140, 859, 12184, 519, 9204, 543, 896, 12827, 519, 842, 1549, 540, 519, 3454, 2443, 602, 519, 2296, 1587, 1131, 581, 14949, 982, 602, 689, 519, 3943, 4639, 28851, 269, 901, 10413, 519, 3703, 4639, 28851, 2344, 538, 12387, 13293, 543, 4006, 543, 634, 4006, 957, 729, 519, 1101, 957, 13684, 676, 519, 3703, 12057, 269, 898, 2322, 513, 1614, 1298, 3454, 593, 4006, 282, 621, 2799, 9204, 593, 6995, 267, 12387, 13293, 267, 10269, 267, 543, 930, 2010, 540, 4568, 269, 901, 729, 519, 1101, 540, 1082, 547, 679, 14141, 519, 21152, 547, 2736, 689, 4789, 563, 7343, 21043, 645, 295, 3041, 270, 12893, 19405, 476, 3953, 1492, 2344, 585, 15555, 267, 799, 519, 10125, 1185, 1044, 6721, 538, 7274, 609, 519, 14949, 3943, 12387, 13293, 269, 634, 3689, 7083, 540, 519, 27308, 267, 543, 26554, 27891, 540, 519, 1401, 3832, 20960, 7083, 717, 1066, 6807, 729, 3843, 547, 3142, 519, 10125, 538, 1899, 609, 2543, 547, 8569, 540, 9204, 269, 1261, 1185, 14132, 539, 909, 519, 13108, 4527, 543, 25009, 873, 547, 1831, 811, 3742, 538, 9821, 11268, 269, 12057, 4956, 621, 1131, 581, 8797, 547, 1118, 513, 1906, 11941, 547, 519, 4123, 6042, 269, 634, 17491, 2920, 4389, 519, 2557, 540, 3454, 593, 12387, 13293, 689, 3670, 533, 775, 547, 1614, 533, 775, 829, 20645, 267, 1247, 717, 1066, 6807, 3576, 3800, 602, 519, 10279, 581, 14553, 24451, 269, 0, 296, 1810, 1405, 917, 1946, 930, 1004, 723, 713, 4356, 540, 16046, 547, 1919, 789, 2901, 4769, 1405, 1224, 610, 1589, 1100, 835, 3116, 786, 1224, 267, 855, 519, 3095, 1281, 2608, 2254, 265, 723, 519, 12191, 3823, 875, 789, 7229, 519, 834, 320, 2071, 257, 2085, 540, 6472, 269, 1703, 616, 1614, 1114, 2081, 547, 5173, 606, 834, 320, 2071, 281, 257, 1611, 267, 11667, 267, 543, 7154, 269, 20290, 2141, 267, 519, 1611, 568, 1031, 547, 5173, 25939, 610, 693, 2547, 602, 781, 1018, 1034, 1004, 786, 1589, 540, 950, 789, 1589, 834, 320, 2071, 1701, 1411, 782, 3314, 713, 689, 1153, 1373, 7229, 607, 1039, 782, 519, 6517, 262, 6502, 543, 7941, 676, 1297, 540, 6517, 269, 2791, 1223, 4945, 519, 3095, 547, 519, 1239, 11540, 1657, 543, 1413, 693, 621, 855, 594, 1589, 596, 3513, 1265, 1022, 540, 519, 3730, 1272, 28135, 585, 594, 4753, 15325, 7475, 909, 538, 519, 1482, 476, 1015, 1032, 2230, 269, 3807, 14626, 2064, 602, 519, 3730, 1272, 1239, 585, 594, 4753, 543, 12601, 6007, 616, 538, 519, 1482, 2039, 269, 2334, 11777, 545, 2064, 540, 1239, 1281, 2626, 519, 20525, 24202, 2243, 269, 3143, 267, 646, 1058, 711, 5855, 827, 12601, 6007, 15325, 1022, 811, 982, 646, 14126, 827, 594, 4753, 15325, 563, 763, 1966, 609, 1210, 1611, 25939, 568, 789, 1810, 1405, 1852, 585, 856, 11502, 269, 1280, 1806, 267, 713, 476, 1015, 1032, 25939, 1797, 585, 1169, 6174, 602, 4991, 883, 513, 20739, 1188, 1472, 2185, 1296, 883, 922, 14438, 972, 781, 606, 3160, 1297, 540, 6472, 602, 616, 2547, 476, 1626, 1296, 2025, 547, 5734, 602, 476, 1015, 1032, 3328, 269, 1284, 9364, 1616, 547, 1294, 875, 1082, 6472, 616, 2698, 539, 1369, 741, 1101, 2185, 1296, 1317, 649, 917, 602, 476, 1839, 260, 540, 519, 6472, 593, 519, 4155, 616, 476, 1626, 1296, 2025, 610, 4587, 630, 10059, 2517, 4178, 6983, 333, 25900, 2593, 270, 1708, 271, 270, 5881, 270, 2764, 270, 1839, 335, 1862, 339, 6122, 770, 1606, 4869, 8696, 26188, 6040, 955, 13440, 867, 30041, 11258, 1916, 2414, 1205, 513, 2631, 540, 856, 11502, 267, 649, 9364, 1616, 547, 1294, 875, 1082, 540, 519, 9510, 6472, 616, 593, 519, 4155, 269, 589, 1906, 1296, 1394, 23625, 7974, 10645, 602, 476, 3199, 260 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1587, 4433, 25631, 1215, 666, 596, 5963, 23596, 513, 1587, 1510, 1210, 621, 286, 6496, 7812, 16888, 23596, 670, 664, 525, 896, 2264, 1510, 1210, 519, 1587, 286, 4270, 594, 4126, 602, 646, 1281, 269, 700, 565, 563, 17504, 540, 5023, 568, 519, 1034, 3532, 1907, 649, 723, 538, 713, 2872, 269, 8416, 16373, 568, 513, 2262, 540, 5023, 1870, 2336, 16123, 359, 5213, 1406, 2995, 1004, 596, 6133, 2472, 2443, 476, 4200, 260, 540, 16066, 300, 2048, 338, 267, 3060, 6725, 3549, 6133, 1945, 269, 1879, 596, 2461, 16042, 2576, 602, 6487, 4986, 827, 707, 2754, 267, 972, 2472, 543, 13180, 1544, 1810, 1406, 2995, 873, 707, 9513, 873, 1945, 563, 25539, 2752, 568, 3989, 607, 606, 18473, 7553, 2014, 676, 519, 3661, 602, 2576, 610, 1945, 568, 5906, 267, 2693, 547, 2014, 1928, 267, 610, 513, 3463, 563, 2171, 782, 723, 513, 4250, 540, 1945, 269, 21824, 540, 5821, 267, 4250, 540, 1967, 267, 4250, 540, 519, 4158, 267, 4250, 540, 824, 779, 6028, 721, 543, 865, 593, 269, 1284, 782, 723, 4810, 4250, 693, 835, 942, 610, 1776, 563, 9032, 260, 540, 519, 1004, 945, 1205, 883, 3060, 6725, 3111, 269, 4107, 540, 891, 1004, 3111, 711, 1317, 789, 723, 519, 4636, 16066, 300, 2754, 267, 4057, 909, 1899, 1489, 610, 1256, 6159, 653, 344, 5012, 269, 4107, 1004, 3111, 538, 3060, 6725, 1317, 789, 3274, 1810, 1406, 723, 2614, 8404, 547, 5397, 873, 547, 798, 519, 3527, 789, 991, 547, 798, 538, 1931, 547, 8011, 563, 293, 792, 540, 5821, 568, 513, 5458, 835, 585, 1034, 1004, 945, 616, 19480, 856, 540, 741, 4313, 7997, 547, 1376, 5346, 538, 3060, 6725, 269, 1215, 1281, 835, 1265, 519, 2014, 540, 519, 4250, 540, 968, 325, 19691, 892, 286, 3689, 649, 991, 547, 1174, 1018, 621, 568, 602, 968, 325, 19691, 892, 2965, 1797, 563, 14240, 540, 14174, 6579, 13543, 454, 272, 513, 2433, 522, 3939, 540, 12136, 610, 2773, 282, 4481, 2433, 513, 17528, 547, 1685, 513, 10279, 610, 4397, 2962, 454, 273, 513, 2433, 3668, 540, 1967, 454, 321, 2433, 513, 17528, 538, 1870, 2433, 28153, 454, 1432, 568, 621, 602, 596, 616, 12922, 540, 286, 674, 9430, 538, 707, 1935, 547, 824, 779, 827, 707, 968, 641, 1636, 29774, 892, 547, 1118, 513, 15895, 4747, 543, 1689, 741, 2729, 585, 519, 1732, 286, 21824, 540, 711, 6031, 519, 1318, 1919, 547, 1004, 286, 21824, 540, 17528, 1974, 8627, 2290, 666, 1152, 3111, 693, 1018, 789, 616, 3843, 547, 798, 950, 789, 16718, 3843, 2336, 5719, 23605, 267, 1072, 267, 1920, 543, 960, 5054, 666, 1039, 547, 519, 2566, 649, 8593, 538, 938, 12194, 602, 1291, 721, 547, 5821, 269, 1215, 666, 649, 7753, 938, 4250, 540, 9306, 938, 1870, 4316, 547, 1866, 888, 268, 6657, 538, 4395, 540, 513, 11604, 267, 1294, 3054, 2965, 6158, 547, 513, 1268, 827, 707, 4316, 543, 581, 13730, 267, 25981, 543, 12837, 269, 6258, 547, 4487, 707, 5114, 547, 3054, 538, 4395, 540, 519, 11604, 543, 6340, 547, 1866, 786, 1831, 513, 2067, 4356, 563, 268, 11644, 256, 7937, 594, 917, 602, 568, 1945, 1034, 540, 721, 1810, 1406, 2731, 1616, 547, 798, 269, 11644, 13847, 1439, 6973, 514, 779, 267, 1439, 6973, 514, 779, 1118, 721, 6126, 269, 8414, 1004, 1810, 1406, 979, 1472, 4250, 532, 3388, 538, 1272, 543, 5855, 827, 621, 1932, 563, 268, 31802, 568, 1018, 8952, 721, 3001, 4464, 2509, 519, 9096, 1899, 269, 6145, 513, 986, 1356, 945, 568, 693, 519, 4358, 1899, 543, 1294, 779, 2933, 693, 519, 9096, 10888, 519, 16101, 563, 293, 8986, 616, 1483, 543, 789, 666, 581, 7753, 269, 28423, 547, 707, 13384, 528, 538, 707, 3060, 6725, 1870, 267, 1577, 873, 917, 1018, 596, 2461, 12922, 540, 269, 1403, 789, 4465, 1406, 948, 596, 8275, 707, 2407, 1761, 1287, 1847, 5196, 2576, 945, 786, 2336, 2467, 616, 1004, 899, 8885, 8348, 547, 3391, 596, 543, 1832, 596, 12592, 547, 1847, 538, 519, 1318, 4287, 540, 1967, 563, 294, 664, 634, 1520, 2779, 720, 2336, 3963, 568, 1018, 596, 1616, 855, 666, 1406, 723, 811, 13267, 982, 1018, 596, 666, 723, 888, 10144, 7287, 1018, 789, 666, 1406, 723, 1317, 621, 779, 519, 2653, 1259, 856, 269, 634, 12492, 762, 3340, 2182, 960, 1247, 6720, 553, 1944, 827, 1018, 649, 666, 1406, 723, 568, 607, 2653, 607, 1554, 29681, 269, 1879, 596, 1491, 2476, 1945, 602, 568, 5176, 12492, 762, 621, 12153, 891, 24353, 13821, 543, 26182, 606, 3929, 5114, 267, 799, 5012, 547, 513, 3375, 563, 13914, 540, 513, 942, 950, 1945, 596, 4941, 729, 3144, 2476, 689, 596, 543, 875, 596, 2746, 539, 547, 621, 269, 21518, 596, 8348, 547, 960, 9875, 585, 621, 811, 982, 2479, 1354, 596, 4503, 621, 888, 268, 1772, 606, 1931, 512, 6033, 630, 322, 2396, 518, 3028, 20218, 264, 1772, 513, 4863, 1807, 543, 1966, 24626, 454, 268, 13667, 338, 547, 5225, 1866, 13667, 338, 547, 3094, 630, 529, 333, 1406, 12922, 547, 2161, 1100, 994, 268, 1772, 7683, 6340, 14443, 338, 5561, 1772, 7683, 6998, 2055, 454, 288, 6251, 568, 3804, 20218, 543, 5784, 1142, 6455, 1289, 610, 3346, 607, 513, 1900, 2509, 519, 3853, 646, 610, 1352, 814, 1305, 267, 711, 607, 519, 3804, 3294, 269, 589, 6251, 568, 1582, 18101, 1211, 267, 5373, 689, 4835, 8404, 547, 3251, 2318, 2429, 10865, 6455, 9979, 269, 634, 960, 2802, 545, 568, 811, 1967, 20218, 982, 513, 6455, 17367, 563, 268, 31698, 909, 2038, 267, 13978, 3735, 547, 9585, 519, 4305, 1354, 873, 563, 268, 3502, 1152, 6499, 547, 856, 8688, 9905, 267, 6499, 547, 856, 1685, 873, 607, 1134, 454, 268, 13760, 338, 602, 1169, 968, 17472, 892, 568, 835, 1900, 6251, 547, 513, 968, 312, 2464, 7536, 268, 634, 811, 789, 3346, 1866, 267, 1797, 811, 3255, 543, 811, 6455, 454, 268, 30498, 3232, 267, 12353, 267, 10865, 3853, 543, 589, 6224, 296, 14110, 2464, 5990, 300, 2336, 1805, 11691, 5812, 568, 519, 1482, 609, 1169, 6455, 12334, 538, 1022, 1870, 269, 7102, 6205, 538, 606, 20835, 786, 3858, 609, 803, 269, 1684, 621, 519, 1482, 1259, 1169, 2582, 942, 269, 12164, 306, 8780, 27301, 312, 4959, 5990, 26395, 312, 2336, 10673, 1406, 1577, 7301, 1064, 14476, 1832, 596, 689, 3001, 4464, 609, 707, 17050, 269, 7102, 9042, 666, 581, 2699, 20526, 543, 1565, 547, 7753, 519, 1843, 687, 568, 519, 2182, 851, 269, 2368, 1004, 1175, 4465, 1406, 1900, 909, 547, 519, 6676, 543, 4444, 1018, 707, 9513, 269, 2311, 2547, 596, 666, 3180, 707, 2212, 909, 1164, 693, 519, 1439, 540, 519, 1554, 6616, 596, 4076, 2944, 707, 1655, 563, 294, 664, 634, 1520, 2779, 720, 2676, 5970, 596, 2479, 14478, 519, 3381, 676, 17363, 590, 710, 330, 11331, 267, 968, 9359, 338, 2060, 4208, 892, 286, 1261, 2306, 4277, 2798, 547, 31739, 593, 563, 5472, 1390, 3401, 1589, 267, 957, 543, 1246, 519, 1482, 1259, 269, 19378, 22868, 267, 9410, 13162, 3751, 543, 519, 19159, 645, 1278, 779, 585, 1383, 269, 1358, 5968, 519, 3169, 1482, 1259, 269, 898, 568, 519, 2347, 6587, 540, 3025, 3116, 543, 689, 1018, 649, 616, 6026, 538, 6455, 543, 6725, 2553, 269, 2353, 17363, 590, 710, 330, 1705, 729, 968, 322, 617, 1518, 892, 621, 269, 1548, 646, 1705, 1985, 11207, 1500, 2631, 547, 803, 269, 634, 1769, 15941, 538, 1250, 2212, 4682, 593, 543, 594, 993, 16042, 1250, 1870, 538, 519, 1482, 1259, 563, 19352, 513, 3077, 593, 513, 4062, 540, 1957, 269, 5269, 1614, 10580, 267, 835, 2462, 267, 835, 4130, 3330, 519, 2462, 835, 543, 1287, 1776, 4130, 835, 3330, 602, 835, 269, 3973, 3330, 519, 10545, 5858, 2328, 538, 968, 3963, 892, 2073, 519, 1647, 5858, 2328, 538, 968, 1692, 5608, 543, 538, 519, 3544, 3677, 5858, 2328, 538, 968, 1432, 9731, 2690, 1383, 646, 12909, 827, 11197, 543, 875, 789, 2461, 2653, 547, 1174, 543, 3025, 4991, 621, 269, 4107, 6725, 543, 6455, 616, 2944, 676, 1919, 899, 267, 968, 2171, 1118, 1390, 5904, 269, 1358, 2461, 18991, 2966, 267, 2241, 547, 946, 543, 3593, 7874, 269, 21763, 547, 4444, 835, 888, 1432, 779, 519, 3017, 609, 11197, 286, 3371, 779, 875, 789, 2965, 5968, 269, 968, 31819, 649, 798, 267, 649, 3494, 538, 4101, 519, 4567, 9889, 269, 1284, 3494, 538, 3206, 8335, 269, 634, 1259, 649, 4161, 519, 4567, 9889, 568, 676, 1818, 938, 2472, 18991, 2966, 267, 2241, 547, 946, 543, 3593, 7874, 269, 1284, 1175, 4755, 547, 1118, 1390, 5904, 269, 21763, 547, 4444, 835, 18313, 8855, 602, 1004, 1810, 1406, 4444, 1018, 596, 798, 267, 789, 4444, 1946, 596, 798, 621, 2336, 2252, 596, 2911, 827, 1018, 596, 3494, 267, 596, 786, 4482, 1346, 945, 3494, 1018, 596, 3494, 256, 10369, 689, 519, 1448, 540, 2070, 547, 1265, 856, 2048, 25585, 892, 789, 991, 707, 1587, 610, 2533, 711, 968, 6343, 892, 789, 991, 269, 1215, 616, 596, 16042, 707, 2344, 1747, 13395, 286, 3245, 519, 3330, 856, 610, 519, 3544, 538, 286, 2878, 7883, 547, 13334, 543, 4585, 519, 3381, 2878, 265, 898, 786, 2491, 519, 13642, 17781, 538, 1469, 563, 22117, 619, 8300, 721, 269, 1284, 1246, 3401, 585, 6000, 267, 711, 585, 873, 269, 5457, 547, 2307, 3054, 267, 968, 3963, 892, 596, 723, 519, 2702, 547, 8300, 1346, 1472, 596, 610, 547, 1265, 1866, 945, 8300, 873, 563, 294, 664, 634, 1520, 2779, 720, 2336, 20584, 16694, 782, 2326, 941, 3144, 689, 519, 3381, 676, 17363, 590, 710, 330, 11331, 968, 1692, 4279, 24285, 23512, 790, 11059, 6100, 0, 290, 2734, 622, 12287, 3125, 538, 3013, 267, 4828, 7151, 454, 19675, 11283, 725, 581, 2808, 7606, 888, 763, 9746, 1268, 3125, 11865, 729, 21892, 547, 5581, 519, 6073, 538, 799, 14078, 1058, 2932, 741, 1870, 269, 898, 729, 711, 5497, 547, 581, 513, 1907, 540, 12879, 585, 14078, 547, 946, 538, 1931, 547, 2333, 741, 1378, 1379, 543, 3310, 563, 763, 2136, 2276, 10966, 7040, 607, 2484, 1394, 607, 476, 6642, 277, 267, 2687, 547, 717, 753, 630, 1001, 271, 1070, 3459, 547, 6451, 519, 2856, 602, 14078, 1058, 581, 5701, 607, 7606, 1282, 519, 2013, 13244, 27262, 642, 269, 8828, 7414, 21805, 267, 950, 519, 5480, 27680, 6592, 519, 12751, 10456, 538, 602, 1974, 267, 1282, 1010, 5711, 4661, 267, 900, 874, 5597, 7150, 602, 519, 9139, 14014, 14078, 1175, 553, 7606, 269, 1717, 1058, 14078, 2221, 581, 2016, 519, 4567, 540, 9746, 17367, 3125, 602, 729, 11130, 827, 5176, 476, 10219, 1296, 3516, 888, 290, 2734, 725, 1058, 711, 581, 2808, 607, 7606, 5103, 519, 4214, 2322, 4464, 676, 13660, 3873, 830, 269, 7775, 326, 630, 1001, 272, 1070, 799, 2829, 602, 789, 616, 3656, 9988, 2813, 896, 519, 6392, 540, 29071, 602, 11863, 2516, 540, 7606, 9117, 607, 23265, 267, 547, 4019, 547, 2229, 585, 4830, 3906, 547, 581, 2813, 547, 11654, 1808, 6859, 609, 3656, 2924, 799, 729, 5892, 11603, 585, 2043, 269, 1452, 2924, 1331, 9522, 647, 324, 543, 581, 647, 539, 267, 547, 1378, 3959, 267, 16926, 5520, 267, 543, 547, 10211, 543, 10210, 2724, 630, 291, 340, 3873, 830, 269, 7775, 326, 267, 476, 1001, 272, 1916, 763, 645, 990, 4536, 476, 8146, 280, 9218, 849, 25495, 602, 18294, 1058, 581, 5701, 607, 7606, 950, 621, 17551, 621, 568, 606, 5841, 1268, 2813, 676, 1876, 543, 7768, 540, 2043, 945, 7449, 626, 538, 1560, 2184, 545, 896, 2027, 29559, 609, 519, 4390, 585, 10419, 783, 19588, 543, 540, 9117, 1369, 9165, 543, 1915, 607, 2067, 1268, 630, 291, 340, 3873, 830, 269, 7775, 326, 267, 476, 1001, 272, 1916, 290, 2734, 725, 676, 891, 8847, 786, 581, 2111, 547, 7500, 585, 1896, 4627, 1296, 267, 1818, 3664, 16155, 267, 20833, 267, 17215, 543, 20019, 267, 5103, 2242, 538, 741, 3889, 676, 1140, 761, 687, 1813, 547, 7972, 267, 29997, 725, 267, 543, 2165, 5209, 563, 2005, 1223, 581, 11130, 1759, 593, 519, 4214, 2016, 676, 13660, 3873, 830, 269, 7775, 326, 1001, 272, 1070, 602, 14078, 1058, 581, 9833, 607, 7606, 2348, 2924, 899, 2067, 2043, 547, 5191, 540, 4633, 543, 3160, 5639, 538, 519, 12602, 540, 519, 2197, 267, 1256, 689, 2797, 5380, 269, 634, 14074, 540, 519, 3689, 14821, 540, 519, 2475, 9139, 267, 799, 2829, 602, 6837, 4927, 1118, 1100, 4031, 18245, 606, 10661, 540, 4984, 267, 610, 10238, 1746, 519, 1863, 3635, 610, 705, 5090, 3101, 519, 5191, 540, 267, 610 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 13971, 7757, 18712, 5303, 585, 13909, 543, 20904, 540, 13216, 4982, 760, 906, 543, 11120, 1988, 454, 13971, 7757, 4641, 2029, 568, 4742, 5051, 4052, 269, 901, 3184, 1101, 12857, 519, 5169, 540, 713, 2029, 269, 3973, 267, 621, 11329, 856, 602, 1317, 8121, 666, 8275, 519, 5610, 540, 519, 10570, 1158, 543, 519, 3787, 1158, 267, 713, 2029, 568, 3808, 547, 7494, 2087, 519, 4398, 540, 1480, 5698, 543, 814, 2484, 23568, 4644, 269, 8921, 267, 519, 1292, 4066, 543, 3156, 540, 8121, 538, 519, 10198, 543, 5826, 540, 1950, 16491, 906, 543, 6703, 616, 5941, 269, 634, 8772, 851, 11828, 519, 1271, 1909, 540, 713, 2029, 538, 519, 1382, 1217, 26494, 538, 3624, 269, 634, 11359, 851, 540, 713, 3184, 5631, 11828, 519, 2078, 1063, 8121, 2029, 543, 519, 1699, 2442, 4066, 269, 898, 9727, 519, 14911, 3347, 1851, 873, 269, 2311, 519, 1439, 540, 713, 3184, 267, 519, 2042, 543, 16548, 540, 8121, 2029, 616, 4330, 563, 21292, 13971, 7757, 4641, 13216, 16491, 906, 543, 6703, 20904, 13909, 21664, 454, 268, 476, 272, 5861, 7596, 749, 570, 303, 267, 631, 714, 749, 667, 310, 267, 4119, 7757, 4641, 281, 606, 3498, 540, 9843, 5346, 4159, 2029, 547, 8261, 5663, 3157, 267, 18619, 540, 519, 26062, 6363, 604, 628, 16127, 4139, 10985, 593, 3590, 7070, 267, 476, 1960, 273, 32155, 10104, 454, 268, 476, 273, 8160, 691, 514, 589, 269, 3767, 752, 267, 8111, 23101, 2209, 281, 16816, 745, 1143, 267, 12472, 267, 543, 4208, 1284, 10261, 3962, 4033, 547, 590, 1075, 3865, 630, 514, 4457, 1070, 2098, 515, 10202, 836, 1004, 779, 14539, 5600, 267, 476, 1001, 274, 32155, 10104, 454, 268, 476, 274, 28629, 340, 1998, 25424, 4498, 926, 267, 589, 5618, 1686, 540, 30768, 630, 514, 4457, 1070, 16275, 12087, 4964, 267, 476, 1001, 275, 32155, 10104, 454, 268, 476, 275, 11065, 2989, 1112, 9400, 744, 685, 294, 768, 534, 18722, 267, 22569, 1441, 18877, 281, 14484, 687, 593, 519, 18882, 543, 24619, 540, 2817, 1143, 630, 514, 4457, 1070, 29258, 1004, 779, 14539, 5600, 267, 476, 1220, 276, 32155, 10104, 0, 25413, 11608, 723, 3144, 513, 2985, 689, 519, 7233, 10794, 3883, 269, 12207, 693, 519, 594, 560, 527, 19513, 7969, 334, 1019, 570, 1815, 333, 860, 807, 630, 2862, 307, 264, 538, 2637, 10394, 630, 2005, 3315, 264, 723, 2919, 513, 2571, 8773, 609, 2147, 2168, 3601, 547, 2371, 602, 568, 2111, 547, 31770, 543, 18214, 899, 2030, 30676, 269, 4256, 1382, 267, 3370, 2063, 3018, 538, 519, 4760, 7186, 18058, 267, 1223, 1291, 547, 513, 1007, 5108, 540, 2571, 11608, 543, 15409, 4066, 267, 971, 607, 281, 645, 269, 25231, 7410, 602, 666, 1689, 741, 3337, 563, 296, 798, 711, 1419, 1589, 540, 2030, 3350, 269, 2290, 540, 519, 1034, 4122, 4080, 1806, 540, 2030, 3350, 1223, 581, 519, 14656, 540, 3762, 538, 513, 23097, 5387, 19026, 8038, 339, 1905, 269, 1809, 1082, 2030, 2249, 616, 3001, 267, 741, 3350, 568, 1152, 538, 519, 4287, 538, 799, 789, 1332, 7444, 269, 1677, 1852, 741, 2208, 267, 2371, 946, 1216, 3560, 610, 23015, 2670, 538, 741, 2281, 563, 2862, 307, 781, 2571, 8773, 267, 799, 814, 513, 8465, 4874, 26120, 1560, 4904, 609, 12274, 267, 13147, 923, 713, 1184, 269, 2060, 513, 1970, 19581, 5653, 6007, 267, 519, 2095, 540, 30788, 9901, 5277, 1369, 519, 8773, 666, 581, 9859, 547, 835, 2427, 610, 519, 824, 269, 634, 3350, 540, 519, 5277, 3123, 519, 8773, 547, 1847, 538, 519, 12687, 865, 602, 621, 12798, 543, 17875, 3149, 899, 513, 2030, 11903, 269, 898, 568, 2653, 2614, 547, 7938, 785, 519, 8773, 676, 10941, 532, 519, 5279, 269, 0, 268, 3848, 476, 272, 281, 21023, 532, 519, 7763, 687, 540, 519, 25578, 267, 6129, 267, 543, 9855, 454, 268, 3848, 476, 1015, 281, 9866, 6326, 16544, 540, 5940, 656, 25578, 454, 268, 3848, 476, 1556, 281, 769, 2536, 2590, 18963, 538, 10060, 5020, 7261, 3380, 454, 268, 3848, 476, 1321, 281, 21023, 532, 519, 15329, 550, 7736, 540, 519, 700, 17999, 25578, 454, 268, 3848, 476, 1724, 281, 10289, 3776, 30982, 454, 268, 3848, 476, 1691, 281, 15766, 908, 4033, 8895, 1314, 625, 454, 268, 3848, 476, 1428, 281, 9866, 6326, 519, 12472, 540, 519, 17807, 454, 268, 3848, 476, 273, 281, 5463, 5317, 519, 26726, 11619, 1137, 538, 10060, 2775, 454, 268, 3848, 476, 274, 281, 22718, 2480, 2297, 543, 7763, 687, 540, 519, 17807, 454, 268, 3848, 476, 275, 281, 10289, 3776, 5345, 6295, 9891, 3590, 454, 268, 3848, 476, 276, 281, 1133, 16225, 532, 2423, 2195, 7010, 454, 268, 3848, 476, 277, 281, 10289, 6833, 14111, 17183, 22948, 543, 22014, 12742, 454, 268, 3848, 476, 278, 281, 9866, 6326, 519, 25674, 27951, 4643, 1115, 454, 268, 3848, 476, 279, 281, 18391, 585, 5020, 15332, 3047, 454, 268, 3848, 476, 280, 281, 1160, 6883, 519, 25674, 6129, 454, 20059, 580, 908, 18395, 281, 589, 10417, 783, 7348, 540, 519, 17807, 476, 272, 560, 9990, 910, 10298, 676, 3848, 454, 17359, 3435, 585, 15766, 908, 18395, 281, 589, 10417, 783, 7348, 540, 519, 17807, 1923, 476, 272, 560, 9990, 454, 20059, 580, 908, 18395, 281, 589, 10417, 783, 7348, 540, 519, 17807, 1923, 476, 272, 560, 9990, 910, 10298, 676, 3848, 7476, 9509, 10298, 454, 288, 3069, 540, 20296, 1689, 1101, 2919, 676, 31735, 1014, 31485, 6660, 583, 514, 6660, 1678, 990, 3558, 269, 898, 568, 1759, 593, 2242, 538, 519, 3337, 540, 3047, 779, 10739, 267, 7648, 538, 519, 21933, 18709, 540, 3047, 779, 7852, 267, 543, 519, 530, 984, 17331, 540, 3047, 779, 7852, 563, 288, 6531, 540, 30437, 3154, 9599, 676, 22292, 5982, 689, 3905, 6801, 563, 763, 1101, 4494, 540, 519, 3859, 5790, 1336, 2047, 1657, 519, 2584, 14459, 563, 288, 4183, 1336, 538, 23572, 602, 568, 4646, 950, 513, 26106, 716, 924, 543, 26106, 698, 332, 924, 6443, 563, 288, 3069, 602, 8385, 6069, 602, 519, 17407, 616, 986, 1111, 539, 827, 269, 898, 814, 9247, 1044, 8719, 676, 519, 6676, 23033, 9582, 3069, 563, 288, 5276, 7997, 2059, 799, 18626, 12776, 14459, 21018, 543, 27605, 6306, 269, 4706, 5137, 949, 1665, 519, 4098, 540, 513, 1007, 5836, 16935, 563, 763, 2837, 547, 799, 2011, 814, 547, 581, 22799, 538, 1931, 547, 3914, 25294, 563, 1103, 1840, 547, 519, 4247, 5340, 676, 6671, 16986, 267, 713, 1007, 5108, 540, 4365, 16986, 666, 3713, 5163, 2047, 543, 8754, 7494, 2087, 28575, 543, 4049, 7088, 21855, 563, 291, 787, 1606, 28026, 31210, 2916, 454, 288, 2916, 4092, 593, 519, 7178, 5011, 540, 17407, 1063, 4234, 6421, 476, 1789, 4113, 543, 476, 3393, 4113, 269, 898, 568, 519, 1152, 18519, 2916, 609, 513, 2178, 5162, 13247, 5021, 563, 763, 10465, 1063, 1079, 7755, 334, 1456, 2011, 13999, 2348, 17804, 4162, 563, 8450, 26439, 545, 6532, 9095, 563, 299, 1149, 8220, 2798, 540, 3160, 2837, 563, 763, 3337, 540, 891, 546, 17480, 20998, 536, 1105, 753, 267, 4849, 741, 4388, 1448, 883, 519, 2842, 282, 789, 1419, 1106, 2059, 5032, 338, 602, 723, 2178, 593, 17060, 12798, 267, 10731, 5070, 267, 543, 10664, 602, 14356, 6227, 519, 5070, 563, 2304, 6293, 602, 5638, 13091, 6329, 563, 295, 580, 4554, 23864, 2039, 602, 4386, 2282, 519, 2053, 540, 519, 1007, 543, 2407, 24262, 563, 20540, 545, 1689, 538, 519, 15038, 540, 519, 5836, 2627, 563, 288, 2165, 4294, 547, 5337, 15667, 7725, 602, 2270, 1507, 19659, 1572, 5738, 2873, 267, 799, 616, 4646, 950, 9362, 9101, 689, 23419, 563, 14157, 4754, 545, 6532, 9095, 454, 288, 5832, 540, 15027, 10195, 3622, 4092, 513, 1906, 4627, 12919, 689, 513, 29503, 1141, 3742, 1016, 9134, 540, 835, 30173, 28973, 9944, 1776, 568, 9648, 563, 763, 5580, 1377, 540, 519, 15459, 7997, 540, 15780, 269, 0, 24375, 940, 896, 8361, 24163, 267, 519, 29842, 534, 5783, 543, 6967, 998, 547, 519, 16972, 5736, 729, 513, 942, 540, 1390, 3909, 7130, 269, 769, 4789, 713, 5736, 32708, 539, 1282, 519, 476, 1428, 628, 543, 476, 1626, 628, 2540, 269, 901, 22166, 1256, 28955, 538, 519, 30148, 8941, 973, 1243, 547, 1453, 1354, 789, 4682, 547, 5127, 269, 3619, 846, 344, 3619, 846, 344, 717, 6387, 8756, 539, 519, 1390, 4550, 4211, 987, 4301, 1143, 1459, 538, 4789, 267, 607, 621, 7604, 1078, 513, 7826, 17308, 6456, 2476, 538, 513, 5728, 12068, 1369, 5321, 267, 9319, 741, 1034, 1978, 2669, 2390, 6602, 269, 634, 887, 344, 1023, 540, 4789, 941, 865, 679, 571, 3022, 609, 1004, 543, 741, 3801, 547, 12404, 519, 20577, 602, 3025, 538, 519, 2777, 1131, 581, 30992, 547, 2669, 267, 711, 1152, 519, 17308, 269, 2290, 29943, 540, 519, 22565, 1373, 513, 4704, 547, 1346, 540, 519, 7826, 5132, 568, 1813, 547, 519, 2446, 540, 711, 6031, 1010, 19001, 267, 607, 3335, 789, 941, 9275, 538, 5824, 563, 7628, 519, 476, 1428, 628, 2540, 538, 4789, 9966, 27679, 667, 636, 27679, 729, 513, 1455, 28215, 1031, 547, 4766, 3677, 1004, 269, 901, 949, 723, 19443, 11066, 2961, 2651, 1247, 20515, 519, 4605, 547, 4217, 519, 22565, 9966, 27679, 667, 636, 27679, 538, 1010, 1433, 7705, 3414, 519, 18391, 19371, 799, 729, 3370, 538, 476, 8687, 271, 267, 972, 2934, 513, 5180, 4212, 9361, 593, 513, 3774, 269, 1703, 729, 513, 3540, 2112, 538, 519, 1032, 540, 476, 13932, 279, 538, 519, 4884, 540, 2051, 17998, 269, 2051, 17998, 2483, 1862, 1647, 540, 1957, 4429, 24222, 543, 1287, 6068, 1200, 1360, 1134, 892, 630, 13126, 1040, 8834, 267, 8834, 27124, 7219, 661, 831, 568, 1776, 4158, 9661, 799, 568, 17711, 18396, 730, 538, 1931, 547, 12404, 519, 1244, 571, 1386, 2623, 621, 6799, 269, 1635, 2921, 513, 25164, 3315, 3749, 2070, 540, 519, 22565, 621, 568, 6654, 519, 8834, 779, 2126, 540, 1010, 1101, 7385, 28837, 4250, 540, 543, 513, 7287, 547, 1852, 2021, 267, 607, 6045, 676, 21667, 24305, 514, 538, 595, 2784, 548, 543, 2353, 281, 513, 8836, 543, 30551, 5530, 540, 12502, 2044, 681, 1506, 6996, 269, 4438, 519, 16972, 5736, 1832, 1131, 581, 1031, 538, 513, 2631, 540, 3246, 585, 1010, 7385, 267, 2428, 519, 3239, 540, 1010, 7385, 538, 606, 20583, 7387, 6157, 10522, 1832, 538, 513, 811, 5609, 3563, 543, 2413, 3159, 269, 1703, 6013, 513, 6456, 3992, 538, 14235, 1079, 540, 519, 22565, 267, 519, 7681, 540, 7365, 543, 1565, 875, 547, 11963, 1522, 723, 513, 2178, 17499, 9029, 585, 519, 1126, 676, 1065, 7675, 741, 5667, 15384, 30829, 7279, 827, 4638, 6927, 538, 3870, 540, 519, 1702, 602, 4079, 2709, 3079, 563, 23921, 5675, 6435, 888, 7476, 5955, 593, 8239, 267, 9355, 267, 6677, 1707, 543, 7954, 14678, 5861, 515, 1188, 707, 1957, 19314, 268, 634, 3778, 540, 12502, 2044, 27550, 327, 6996, 1879, 596, 1589, 540, 21543, 30053, 267, 798, 596, 1589, 540, 17608, 267, 25064, 3756, 596, 5129, 607, 513, 1126, 269, 6056, 1586, 269, 4107, 540, 519, 21543, 30053, 602, 723, 1831, 865, 2442, 609, 519, 1453, 941, 2760, 5497, 585, 873, 269, 4107, 3459, 607, 12563, 8964, 610, 3440, 6758, 23475, 538, 512, 11232, 985, 269, 1452, 8964, 630, 337, 1506, 6996, 264, 782, 1034, 2141, 941, 2854, 547, 1118, 1187, 540, 3909, 3401, 610, 547, 575, 1601, 760, 827, 15438, 543, 30842, 630, 19322, 11927, 3821, 16163, 269, 476, 272, 268, 276, 1040, 12502, 2044, 30053, 616, 1373, 6594, 519, 2250, 1906, 5756, 607, 513, 1259, 547, 948, 1453, 1451, 741, 9904, 543, 2338, 2807, 1496, 15912, 281, 14430, 2639, 27149, 280, 1913, 630, 278, 269, 272, 3817, 994, 268, 634, 9093, 540, 12624, 3619, 846, 12502, 2044, 681, 1506, 6996, 968, 296, 11146, 9741, 623, 1380, 344, 892, 594, 2648, 2370, 533, 1380, 344, 267, 1315, 15463, 10359, 568, 865, 3636, 267, 1315, 4517, 952, 594, 1810, 1406, 10413, 1200, 267, 1315, 9515, 3580, 798, 803, 1100, 2800, 269, 1315, 3383, 594, 3580, 711, 7485, 1200, 2766, 267, 1315, 301, 528, 5397, 1200, 2476, 267, 1315, 3719, 533, 1380, 344, 543, 594, 267, 1315, 25802, 9900, 786, 1404, 269, 630, 10674, 2517, 4178, 269, 29992, 334, 2593, 11721, 13637, 14672, 2720, 2044, 9706, 1380, 344, 269, 5684, 264, 968, 10481, 3073, 773, 623, 3073, 773, 892, 9677, 773, 623, 3073, 773, 267, 30077, 514, 685, 543, 2650, 267, 1315, 298, 1170, 539, 519, 6690, 543, 1500, 873, 3956, 269, 1315, 2691, 519, 8695, 3357, 856, 547, 1404, 267, 1315, 10481, 3073, 773, 623, 3073, 773, 10443, 2476, 269, 630 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 1114, 14104, 3681, 267, 6236, 2188, 971, 607, 1719, 3928, 267, 23231, 618, 2474, 267, 543, 25046, 7355, 267, 547, 3313, 519, 1034, 5078, 4781, 1759, 593, 1367, 6381, 563, 10112, 31757, 519, 17776, 593, 20971, 630, 4629, 296, 264, 585, 9891, 7754, 1564, 454, 3080, 540, 519, 1883, 2883, 9270, 540, 3859, 8470, 10380, 568, 12570, 519, 1761, 2132, 593, 5092, 630, 4629, 296, 1040, 29626, 519, 21614, 296, 3322, 7421, 1585, 2188, 267, 1519, 519, 3355, 10380, 1942, 267, 1761, 9806, 593, 5201, 12014, 267, 543, 1022, 2229, 15314, 610, 3049, 2987, 29388, 563, 763, 2628, 3724, 1974, 568, 1776, 1271, 2460, 547, 2015, 269, 634, 2628, 3724, 1974, 4564, 519, 942, 621, 3217, 585, 519, 9806, 519, 3859, 8470, 1062, 12958, 547, 15558, 519, 3355, 5092, 269, 769, 5245, 267, 3859, 8470, 1949, 3335, 723, 606, 3328, 2628, 3724, 1974, 540, 476, 274, 547, 476, 277, 1296, 267, 4470, 593, 1062, 2450, 267, 1648, 4616, 267, 543, 2199, 5201, 3928, 269, 15332, 519, 2628, 3724, 1974, 267, 3859, 8440, 666, 3136, 547, 5352, 1713, 9806, 607, 5201, 3790, 4473, 269, 3958, 267, 3859, 8440, 666, 2333, 519, 1871, 540, 513, 3959, 267, 7700, 547, 1279, 3856, 2883, 2640, 563, 2750, 13630, 9669, 585, 513, 21988, 9891, 19937, 12305, 566, 454, 12709, 14935, 1058, 1246, 4274, 4388, 543, 1655, 2853, 547, 2327, 513, 3811, 3859, 8470, 10380, 269, 17616, 267, 7446, 513, 18019, 3859, 8470, 3888, 518, 945, 568, 4810, 267, 13931, 267, 543, 26886, 568, 2629, 269, 3194, 532, 6075, 8039, 543, 13844, 2789, 10530, 666, 948, 21427, 1118, 606, 5483, 3375, 563, 19187, 4058, 543, 2079, 540, 519, 3959, 781, 3859, 1761, 616, 849, 1271, 269, 11790, 971, 607, 519, 17568, 543, 10066, 540, 519, 8440, 267, 27864, 2079, 267, 543, 519, 5542, 540, 1164, 7779, 3334, 666, 3648, 1764, 1062, 2773, 543, 1648, 5108, 269, 8617, 5464, 543, 5826, 540, 519, 3859, 8470, 1062, 616, 1883, 547, 5688, 2358, 2773, 543, 4180, 15325, 269, 5851, 14935, 1058, 5432, 1047, 2933, 609, 6296, 5826, 4247, 267, 971, 607, 7738, 8440, 543, 8524, 532, 5122, 4296, 267, 610, 2015, 3318, 5826, 2533, 547, 2327, 519, 1062, 13333, 7561, 936, 922, 14438, 563, 23530, 8470, 10380, 2636, 8241, 21427, 547, 9784, 7791, 1648, 267, 3565, 547, 513, 4264, 2104, 267, 543, 29311, 1713, 1279, 3856, 2883, 2640, 269, 3245, 513, 5491, 8804, 3318, 781, 5133, 267, 10442, 519, 2883, 9270, 540, 3859, 8470, 10380, 267, 1519, 519, 1942, 267, 2229, 6450, 919, 267, 14643, 1237, 10094, 267, 14104, 3681, 267, 543, 2132, 593, 5092, 267, 568, 1898, 269, 1635, 5402, 12570, 891, 2188, 543, 5275, 4274, 5796, 267, 21427, 666, 1118, 5483, 3664, 543, 7832, 593, 513, 22928, 267, 811, 20019, 14785, 2104, 563, 19185, 547, 8804, 707, 3859, 8470, 10380, 286, 6733, 1100, 2417, 982, 3220, 10216, 269, 2060, 938, 3573, 3060, 540, 476, 1789, 266, 32225, 267, 649, 666, 1265, 519, 3501, 10211, 6474, 585, 596, 538, 1175, 3764, 269, 3776, 476, 1911, 260, 2228, 3498, 1184, 2306, 621, 2656, 543, 10375, 269, 2311, 3220, 10216, 267, 649, 3922, 1047, 11413, 267, 4180, 513, 5855, 6954, 1995, 676, 3246, 2312, 1344, 827, 3928, 543, 12375, 269, 7994, 3220, 10216, 585, 707, 3859, 8470, 10380, 10211, 543, 7832, 593, 707, 3460, 2509, 513, 22928, 2104, 609, 4708, 540, 2247, 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 ]
[ 0, 1103, 2487, 1296, 267, 519, 21654, 814, 27838, 1007, 2093, 540, 10350, 543, 12477, 2066, 519, 1158, 269, 2060, 519, 11944, 540, 3059, 2029, 267, 891, 2093, 723, 3144, 593, 1007, 23473, 269, 1306, 513, 1267, 267, 30507, 10350, 814, 1831, 513, 28487, 532, 3956, 585, 1082, 2413, 7239, 563, 4263, 922, 4295, 267, 30507, 10350, 7569, 513, 1007, 5736, 540, 11413, 543, 12477, 269, 901, 1797, 2870, 5238, 602, 616, 5963, 17841, 547, 519, 2115, 540, 519, 1004, 789, 4196, 269, 898, 849, 3322, 4180, 602, 519, 1004, 723, 1569, 547, 4977, 543, 6325, 1344, 827, 519, 25029, 540, 2229, 563, 3080, 540, 519, 1883, 4128, 1946, 11413, 543, 12477, 723, 1831, 865, 1271, 568, 519, 3395, 1253, 6412, 602, 1082, 1004, 723, 538, 741, 6608, 269, 901, 1253, 6412, 568, 1419, 519, 1267, 540, 13313, 267, 524, 1258, 344, 1143, 267, 543, 513, 3668, 540, 11413, 1472, 3375, 6194, 269, 1280, 3236, 267, 4145, 936, 519, 3527, 540, 1082, 2229, 8387, 538, 2487, 1296, 723, 3366, 547, 513, 1007, 5951, 540, 17933, 602, 11394, 547, 3196, 6963, 563, 763, 1434, 3377, 568, 602, 972, 616, 1082, 2081, 538, 799, 6608, 666, 960, 547, 2087, 11413, 543, 12477, 269, 2290, 540, 519, 1034, 2500, 2081, 568, 547, 1711, 1930, 1239, 4507, 602, 1450, 4961, 547, 1569, 1857, 1344, 538, 513, 12905, 543, 12001, 6073, 269, 2311, 519, 1482, 942, 267, 6608, 666, 960, 547, 2087, 741, 2792, 3646, 267, 1519, 519, 946, 540, 1514, 2923, 543, 824, 3059, 5867, 547, 4497, 609, 4961, 563, 2467, 568, 849, 513, 3395, 6284, 602, 11413, 1590, 581, 10483, 676, 12477, 269, 901, 1797, 2348, 5238, 538, 1747, 602, 666, 3180, 2229, 8387, 3743, 585, 741, 3527, 269, 769, 1082, 2665, 267, 713, 3322, 519, 5137, 540, 4830, 4703, 267, 971, 607, 522, 3387, 644, 4944, 619, 976, 610, 824, 12477, 13646, 267, 602, 723, 519, 6392, 547, 8495, 543, 6439, 1518, 4636, 4777, 532, 563, 22818, 1034, 11932, 267, 972, 2115, 547, 581, 513, 4909, 1689, 538, 519, 1259, 649, 1589, 827, 10350, 543, 922, 2078, 547, 2486, 269, 634, 2591, 649, 3068, 2221, 616, 1950, 543, 10562, 267, 543, 2154, 513, 811, 10319, 543, 12001, 1935, 547, 10350, 269, 901, 1797, 2870, 10350, 3889, 602, 616, 17841, 547, 519, 2115, 540, 782, 8639, 267, 689, 3540, 2486, 3906, 547, 519, 4357, 5823, 563, 3725, 23728, 1944, 10350, 568, 711, 513, 2241, 4305, 267, 855, 621, 568, 513, 2556, 835, 952, 649, 616, 547, 10994, 519, 1950, 543, 10562, 2591, 540, 519, 476, 2641, 560, 2540, 269, 1635, 8508, 11413, 543, 12477, 267, 543, 2324, 547, 1711, 10350, 1949, 602, 616, 17841, 543, 17841, 547, 782, 8639, 267, 649, 666, 1711, 513, 2486, 602, 568, 4023, 267, 1175, 267, 543, 4264, 585, 782, 563, 268, 7169, 1944, 26291, 281, 1133, 557, 4979, 519, 772, 660, 1245, 16237, 2195, 540, 28626, 22749, 256, 910, 476, 2537, 632, 15118, 1470, 632, 476, 1708, 274, 454, 268, 21829, 30767, 1133, 557, 6150, 281, 11572, 3487, 625, 15167, 8211, 1670, 19147, 267, 623, 1511, 519, 10158, 585, 28626, 7827, 910, 476, 1428, 632, 15118, 1470, 632, 476, 1708, 274, 454, 268, 7169, 1944, 22640, 281, 1133, 557, 4979, 519, 28358, 22618, 966, 7627, 3590, 602, 3690, 322, 1742, 645, 7451, 256, 910, 476, 1428, 632, 15118, 1470, 632, 476, 1708, 274, 0, 2005, 779, 9956, 14512, 267, 543, 849, 968, 307, 1779, 6145, 9956, 4303, 1848, 769, 519, 6891, 540, 519, 1554, 267, 649, 4076, 2322, 1927, 513, 2241, 476, 276, 9912, 3391, 547, 6158, 899, 9956, 5128, 563, 272, 269, 5700, 2659, 594, 3711, 545, 19999, 600, 2678, 454, 288, 1434, 1747, 547, 1376, 593, 707, 1391, 547, 3280, 899, 9956, 568, 609, 1775, 3711, 545, 20008, 600, 2678, 269, 901, 13417, 5962, 3613, 5962, 4806, 9103, 1023, 4557, 24424, 829, 1899, 543, 786, 8850, 909, 707, 9956, 534, 1893, 3014, 563, 1765, 12312, 6339, 476, 1240, 454, 1765, 3828, 27097, 13957, 281, 2920, 476, 272, 267, 26657, 476, 272, 454, 273, 269, 20873, 5455, 593, 8409, 18190, 543, 19978, 2353, 16272, 454, 4537, 6832, 729, 1134, 268, 951, 539, 630, 7224, 5309, 10784, 2105, 264, 538, 1312, 1010, 8106, 543, 13400, 782, 16272, 269, 774, 8089, 538, 513, 7008, 782, 16272, 1934, 543, 972, 786, 17216, 23666, 707, 2828, 543, 1920, 269, 8347, 26159, 9642, 569, 1808, 4025, 267, 5259, 10971, 267, 543, 13400, 2984, 269, 12844, 639, 2798, 952, 513, 2582, 4845, 3568, 811, 982, 835, 782, 4288, 563, 1765, 9956, 267, 8361, 519, 14520, 628, 3487, 476, 274, 267, 2920, 476, 274, 26657, 476, 274, 454, 274, 269, 2422, 9956, 534, 2552, 10330, 454, 2690, 1326, 519, 2395, 540, 1210, 1697, 27373, 267, 840, 21752, 267, 543, 1913, 269, 5502, 267, 14477, 6443, 1927, 1585, 1913, 547, 3280, 899, 513, 3020, 11193, 986, 935, 974, 584, 269, 2048, 307, 529, 606, 2653, 1259, 2048, 339, 17932, 9956, 543, 1832, 707, 1775, 3711, 545, 2095, 2469, 563, 2080, 616, 930, 1806, 689, 519, 812, 5128, 912, 268, 11313, 307, 529, 630, 527, 568, 994, 268, 744, 630, 2129, 994, 268, 15261, 685, 630, 5976, 994, 268, 12794, 685, 630, 17647, 994, 268, 594, 685, 630, 514, 994, 268, 2048, 307, 1048, 630, 24992, 994, 268, 3026, 685, 518, 630, 6866, 994, 268, 744, 685, 518, 630, 1478, 994, 275, 269, 28423, 538, 769, 20692, 754, 334, 454, 4322, 666, 581, 607, 11029, 630, 528, 711, 11029, 264, 607, 596, 7287, 269, 6787, 596, 2461, 6158, 693, 519, 5604, 610, 538, 4395, 540, 519, 1453, 693, 1753, 267, 14139, 930, 540, 9956, 779, 7961, 340, 754, 657, 666, 1118, 1175, 827, 1022, 1604, 3617, 585, 2892, 20160, 7391, 269, 3807, 1810, 1406, 16620, 721, 585, 519, 6364, 563, 1765, 634, 570, 5446, 540, 519, 1744, 4319, 281, 2920, 476, 273, 267, 26657, 476, 272, 454, 1765, 17283, 281, 2920, 476, 274, 267, 26657, 476, 273, 454, 276, 269, 2422, 681, 1506, 2719, 21676, 921, 1206, 454, 7922, 1678, 14235, 11735, 267, 9956, 849, 4603, 539, 609, 513, 6586, 2719, 7008, 339, 610, 1079, 538, 1010, 942, 269, 3571, 1732, 1634, 1806, 1419, 4125, 519, 2648, 3613, 4459, 523, 19151, 543, 19201, 267, 855, 1810, 1406, 1577, 602, 3247, 596, 689, 6586, 2719, 538, 1022, 3510, 269, 9282, 21245, 6586, 2719, 1522, 5855, 707, 2828, 267, 621, 779, 6038, 909, 547, 596, 950, 621, 7475, 563, 1765, 19151, 543, 19201, 281, 2920, 476, 272, 267, 26657, 476, 276, 454, 1765, 19151, 543, 19201, 281, 2920, 476, 273, 267, 26657, 476, 273, 454, 1765, 30777, 281, 2920, 476, 272, 267, 26657, 476, 274, 454, 6701, 972, 1022, 824, 4388, 596, 666, 1589, 540, 286, 23680, 873, 538, 519, 8292, 2630, 256, 0, 1607, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 476, 275, 269, 271, 4139, 17821, 563, 11749, 573, 908, 513, 11625, 3645, 18500, 12025, 4530, 3842, 519, 476, 274, 12195, 268, 7644, 307, 7844, 454, 1700, 634, 1957, 4843, 513, 9241, 22885, 6863, 2450, 1449, 1759, 593, 3182, 3645, 10291, 281, 11625, 3645, 18500, 12025, 4530, 630, 11901, 4306, 1916, 763, 1957, 4843, 513, 9241, 22885, 6863, 2450, 1449, 1759, 593, 3182, 3645, 10291, 281, 11625, 3645, 18500, 12025, 4530, 630, 11901, 4306, 1040, 589, 2203, 2861, 630, 272, 268, 273, 268, 274, 9936, 26848, 6221, 3210, 3069, 2203, 16198, 264, 1935, 729, 3144, 547, 2638, 799, 2203, 1223, 10110, 519, 1034, 1344, 689, 519, 1239, 269, 28133, 1164, 1153, 543, 3119, 1153, 1053, 15548, 538, 519, 1353, 630, 301, 476, 272, 267, 30500, 1040, 23527, 685, 2702, 9193, 543, 6221, 9936, 9193, 941, 17223, 1759, 593, 4397, 513, 17911, 328, 630, 292, 4338, 264, 1505, 267, 835, 1826, 540, 28662, 1505, 269, 645, 6579, 8104, 5336, 294, 476, 274, 729, 7550, 547, 14892, 9936, 9193, 543, 2203, 16198, 269, 634, 2164, 4951, 602, 519, 476, 274, 12195, 268, 7644, 307, 2203, 1655, 3514, 519, 12170, 1239, 269, 898, 729, 1287, 11130, 602, 1449, 512, 5474, 685, 2296, 6863, 2450, 1223, 581, 1655, 9676, 896, 519, 476, 274, 12195, 268, 7644, 307, 2203, 267, 607, 711, 1152, 519, 7130, 9936, 267, 855, 849, 519, 27378, 9936, 814, 513, 4909, 1909, 547, 1404, 538, 7156, 540, 519, 1449, 3898, 7550, 538, 519, 14346, 4306, 269, 634, 2376, 11943, 602, 519, 14346, 4306, 1223, 723, 2318, 11547, 3724, 2360, 593, 1449, 1646, 543, 2296, 6863, 6044, 563, 22296, 2248, 539, 11239, 25629, 1263, 267, 654, 11607, 307, 269, 630, 1001, 274, 1040, 4406, 573, 908, 513, 11625, 3645, 18500, 12025, 4530, 3842, 519, 476, 274, 12195, 268, 7644, 307, 7844, 269, 18500, 4804, 543, 19019, 267, 476, 273, 263, 272, 1070, 476, 5038, 1700, 10463, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 4281, 273, 271, 23218, 2993, 18192, 6349, 269, 272, 269, 1206, 1263, 0, 763, 4266, 540, 519, 1101, 4013, 8136, 1612, 778, 1393, 7914, 693, 674, 339, 269, 568, 4864, 476, 1626, 267, 476, 3707, 271, 269, 5484, 940, 267, 11908, 267, 5484, 940, 267, 11908, 269, 1635, 1612, 778, 1393, 267, 519, 2500, 7914, 7152, 519, 12316, 2856, 540, 29780, 2666, 8396, 4229, 689, 519, 2136, 2276, 3297, 513, 6370, 1899, 269, 1452, 6607, 7980, 616, 930, 540, 519, 2136, 2276, 8136, 781, 1034, 3810, 9833, 543, 4274, 569, 5423, 10136, 563, 10521, 23197, 15523, 4867, 7500, 538, 519, 2475, 8136, 781, 1699, 23197, 15523, 269, 674, 339, 9538, 338, 476, 11025, 526, 5794, 13871, 10406, 568, 519, 476, 11025, 526, 5794, 13871, 10406, 269, 4858, 1375, 267, 3345, 10491, 267, 519, 1533, 781, 26462, 6498, 267, 729, 3964, 607, 606, 26462, 6498, 269, 634, 476, 11025, 526, 10406, 729, 15181, 693, 8805, 23583, 593, 4864, 476, 1839, 267, 476, 4489, 278, 267, 1282, 2622, 2782, 594, 269, 1358, 941, 2016, 519, 2012, 2353, 1977, 585, 519, 1374, 540, 741, 6498, 538, 476, 4489, 279, 269, 4595, 519, 7980, 3357, 711, 689, 782, 1472, 519, 2197, 267, 855, 1082, 941, 11082, 607, 1134, 269, 1306, 1906, 824, 15523, 1705, 693, 519, 942, 267, 519, 476, 11025, 526, 10406, 6719, 782, 540, 3013, 607, 1906, 824, 15523, 1705, 693, 519, 942, 563, 763, 2034, 543, 1869, 3742, 23197, 6498, 1185, 513, 2110, 24331, 6228, 693, 519, 1376, 269, 634, 476, 6200, 560, 5794, 13871, 10406, 6896, 585, 513, 2110, 942, 1282, 2622, 2782, 594, 593, 5437, 476, 273, 267, 476, 4489, 279, 267, 1282, 2622, 2782, 594, 269, 1717, 267, 519, 2112, 3357, 4166, 1310, 267, 855, 621, 729, 936, 16172, 1310, 269, 634, 21115, 5446, 661, 24346, 556, 19840, 17300, 693, 8805, 1849, 320, 756, 11448, 267, 17039, 267, 593, 4864, 476, 1626, 267, 476, 3707, 273, 267, 1282, 2622, 2782, 4083, 269, 1358, 1631, 2661, 538, 674, 339, 269, 1358, 4867, 2661, 538, 674, 339, 269, 23720, 267, 17996, 267, 23720, 267, 17996, 563, 13828, 4559, 723, 6039, 1472, 519, 1158, 538, 8396, 267, 4708, 15209, 267, 543, 19493, 13485, 563, 1692, 547, 1665, 3084, 23197, 1554, 568, 835, 540, 519, 3084, 23197, 1554, 454, 9596, 811, 827, 519, 5794, 13871, 10136, 540, 634, 2136, 2276, 4108, 563, 268, 13772, 32026, 827, 23197, 10136, 538, 519, 2475, 4108, 454, 268, 10812, 519, 2250, 540, 23197, 4559, 269, 1635, 661, 8160, 269, 4469, 534, 12298, 610, 4934, 540, 519, 9791, 281, 589, 10395, 520, 3778, 540, 1977, 17086, 676, 661, 8160, 269, 4469, 534, 12298, 610, 4934, 540, 519, 9791, 281, 6276, 670, 755, 517, 781, 772, 2529, 269, 8136, 5794, 13871, 15051, 538, 2622, 2782, 4083, 454, 268, 13028, 1256, 811, 676, 9683, 4108, 15882, 543, 18189, 338, 547, 519, 23197, 4229, 454, 14188, 513, 1612, 520, 549, 6016, 543, 946, 1948, 13233, 21080, 13871, 21196, 547, 2022, 593, 1514, 2923, 563, 763, 3084, 23197, 1554, 568, 519, 13074, 1554, 540, 3084, 23197, 1554, 538, 1686, 454, 4002, 4864, 476, 1691, 267, 476, 1220, 273, 267, 5518, 6723, 654, 269, 17312, 10294, 2817, 5794, 13871, 4303, 269, 14130, 22375, 476, 20720, 267, 593, 4864, 476, 274, 267, 476, 1220, 280, 267, 519, 2475, 14130, 540, 519, 476, 9340, 628, 6837, 16033, 730, 2817, 5794, 13871, 4303, 563, 304, 269, 6496, 519, 2475, 8136, 5794, 13871, 723, 513, 1212, 539, 888, 288, 269, 8786, 269, 8786, 269, 634, 2136, 2276, 8136, 781, 5948, 568, 1141, 596, 666, 1265, 621, 269, 634, 2136, 2276 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15056, 264, 16711, 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, 3848, 476, 278, 281, 18027, 4811, 910, 715, 22021, 21976, 281, 23556, 532, 3776, 674, 25744, 14886, 692, 15916, 972, 256, 8080, 1394, 547, 938, 3184, 593, 10130, 543, 741, 9422, 2115, 269, 4653, 267, 1577, 781, 4685, 883, 519, 4241, 1158, 540, 938, 2185, 6122, 13949, 15274, 262, 11326, 543, 1451, 827, 1945, 1572, 834, 333, 19153, 2437, 3226, 1346, 1336, 538, 741, 5172, 3536, 1765, 8364, 8510, 6233, 256, 1635, 1620, 891, 2035, 267, 596, 786, 1831, 513, 811, 5483, 543, 3743, 4620, 8227, 1247, 1565, 3407, 4245, 827, 3662, 7350, 543, 1072, 269, 1924, 10544, 707, 3206, 11503, 630, 663, 6148, 930, 13000, 1070, 543, 1577, 781, 1205, 3323, 2439, 4089, 476, 272, 281, 1548, 22549, 1772, 589, 715, 22021, 2496, 9617, 899, 3425, 991, 5613, 267, 5388, 267, 5946, 267, 9274, 267, 543, 10683, 2472, 547, 3251, 2635, 267, 2831, 2154, 1114, 6878, 1634, 607, 834, 333, 19153, 257, 538, 741, 6980, 1932, 269, 1452, 1898, 2609, 5512, 873, 547, 1332, 267, 16196, 267, 7816, 1560, 8031, 267, 543, 2226, 1585, 15629, 3252, 269, 5994, 952, 2576, 5143, 596, 602, 596, 1223, 1152, 3548, 835, 1826, 540, 1426, 1169, 1554, 282, 9327, 1405, 1272, 581, 20585, 543, 14432, 286, 2334, 781, 1946, 3478, 519, 2953, 3575, 540, 5567, 5849, 513, 7059, 543, 6126, 6228, 585, 721, 543, 938, 10130, 7567, 2439, 4089, 476, 273, 281, 5463, 5317, 26678, 20126, 281, 26287, 1231, 267, 674, 1846, 267, 1656, 2961, 8510, 6233, 692, 2467, 616, 1614, 3119, 6688, 540, 5567, 281, 5946, 267, 9600, 267, 543, 11950, 269, 1284, 3513, 2263, 1142, 1895, 14350, 1354, 7234, 1946, 19719, 2339, 865, 1454, 538, 707, 4620, 781, 12129, 12826, 780, 3682, 974, 1231, 616, 2629, 2679, 7161, 1031, 676, 1312, 3425, 543, 2831, 547, 1020, 6091, 267, 2960, 267, 4552, 267, 18969, 267, 543, 824, 4105, 8219, 269, 1358, 849, 4196, 607, 11476, 543, 10399, 3743, 585, 1808, 6547, 1369, 4703, 269, 10960, 2959, 971, 607, 9269, 267, 3165, 267, 5798, 267, 543, 14132, 1683, 2347, 5946, 5627, 782, 8370, 2556, 11254, 7408, 2838, 585, 1697, 2208, 543, 1646, 780, 293, 1846, 1419, 723, 513, 3983, 10639, 1851, 1004, 945, 1616, 547, 6336, 2597, 267, 855, 789, 2811, 16832, 3334, 540, 1022, 2713, 1373, 781, 2732, 269, 13245, 9600, 2709, 1648, 4859, 267, 13471, 267, 6171, 6283, 267, 1418, 4027, 267, 543, 1591, 9245, 6617, 269, 17796, 2039, 689, 2030, 2861, 11041, 899, 14462, 3282, 547, 9761, 3165, 899, 13687, 543, 5672, 651, 7758, 780, 7661, 267, 649, 12446, 693, 938, 1292, 1445, 2221, 281, 11950, 256, 10705, 5219, 547, 3274, 607, 1412, 8364, 2125, 10086, 789, 3761, 2656, 28377, 540, 1648, 2877, 585, 3232, 2238, 269, 11822, 14836, 267, 1950, 588, 2117, 1127, 267, 543, 11103, 13822, 19719, 269, 2755, 5243, 1810, 1405, 8209, 991, 19719, 547, 8853, 267, 789, 798, 3565, 3648, 547, 741, 2949, 9716, 543, 8788, 269, 3807, 1589, 827, 875, 9599, 707, 1093, 5255, 4991, 1282, 803, 5306, 830, 610, 1521, 3766, 1516, 8090, 2439, 4089, 476, 274, 281, 1133, 24286, 634, 5295, 2986, 2052, 710, 2961, 8510, 6233, 692, 10111, 2125, 2408, 6923, 538, 1082, 2898, 3536, 10057, 676, 5243, 267, 1519, 5613, 267, 5388, 267, 22053, 267, 543, 9274, 269, 2368, 2442, 5079, 949, 9983, 596, 267, 1498, 256, 21690, 12277, 267, 17112, 267, 22481, 267, 6960, 7573, 267, 24061, 267, 543, 1256, 27046, 22596, 1283, 519, 1592, 540, 27357, 5820, 14095, 609, 6225, 6775, 267, 6886, 267, 14434, 267, 543, 3500, 3146, 3161, 1648, 2959, 780, 4913, 267, 7446, 3617, 19346, 2959, 3587, 2565, 2094, 1978, 9268, 8677, 1522, 1291, 547, 11959, 267, 9667, 2152, 267, 610, 8377, 269, 1280, 3236, 267, 8970, 21360, 267, 10568, 7912, 267, 543, 15568, 4006, 616, 4122, 3773, 6445, 619, 538, 1970, 7779, 5010, 2915, 3536, 602, 3668, 8101, 14312, 1871, 269, 4475, 267, 2141, 1904, 585, 1164, 17263, 4620, 669, 578, 602, 8638, 1483, 267, 30753, 5820, 3079, 540, 12357, 2338, 610, 3114, 7135, 780, 3383, 1631, 596, 917, 1946, 11950, 3180, 4644, 538, 707, 4620, 781, 9422, 4170, 543, 875, 8939, 2298, 3283, 8309, 547, 741, 7524, 2729, 269, 5457, 267, 1620, 1018, 4422, 883, 707, 9663, 14609, 344, 781, 17987, 19141, 12391, 585, 741, 2168, 8516, 543, 3929, 7772, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7072, 547, 13928, 12594, 543, 2961, 8510, 6233, 454, 8702, 547, 938, 3102, 3391, 593, 2915, 6484, 543, 11950, 267, 1141, 649, 3580, 12260, 519, 11580, 547, 30740, 707, 24566, 3659, 609, 519, 1318, 2186, 540, 1648, 269, 5620, 596, 2479, 9289, 875, 1271, 19719, 616, 538, 707, 2915, 779, 2732, 286, 3657, 596, 18516, 827, 799, 2010, 540, 11950, 616, 5078, 585, 707, 22578, 13959, 286, 4270, 267, 596, 4076, 2097, 547, 519, 1318, 1747, 563, 5331, 713, 281, 621, 779, 513, 13566, 6640, 267, 543, 596, 2461, 2921, 513, 16837, 569, 588, 2651, 609, 707, 11537, 7782, 269, 1306, 789, 7708, 339, 6619, 267, 2407, 540, 25525, 543, 15131, 267, 596, 666, 1406, 948, 855, 14952, 693, 741, 3808, 1652, 1648, 269, 7316, 1281, 782, 602, 1648, 2097, 689, 286, 634, 2626, 6013, 538, 741, 6484, 267, 4481, 519, 1909, 602, 11950, 1404, 538, 741, 2949, 1134, 5630, 563, 3086, 12997, 267, 2915, 1426, 513, 529, 956, 616, 4904, 609, 11995, 3681, 1107, 10286, 6954, 713, 543, 15347, 6954, 602, 1107, 6028, 4620, 5411, 829, 14658, 539, 827, 1018, 5963, 6927, 950, 621, 2501, 547, 3246, 6099, 6484, 585, 741, 24566, 2828, 269, 898, 779, 711, 1175, 827, 1165, 331, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 301, 22021, 21976, 257, 607, 851, 540, 834, 14154, 4811, 1315, 5253, 1299, 12594, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 276, 281, 19663, 5455, 3414, 27884, 910, 10289, 28527, 6361, 5025, 613, 11470, 692, 5331, 596, 2811, 8066, 513, 9059, 11604, 602, 2982, 945, 596, 786, 1831, 950, 596, 1332, 909, 269, 15346, 267, 1318, 286, 1809, 9327, 1405, 621, 581, 811, 4277, 952, 267, 3079, 540, 1175, 7487, 3054, 6738, 5346, 267, 596, 1223, 4585, 519, 3460, 540, 1582, 22523, 543, 2208, 998, 9159, 2984, 286, 2334, 781, 1018, 4947, 6361, 21943, 5708, 1281, 256, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 2439, 1432, 568, 28527, 6361, 5025, 613, 11470, 888, 28598, 290, 4040, 6361, 21943, 568, 513, 9135, 540, 5708, 602, 6645, 519, 1650, 540, 513, 1915, 3395, 909, 543, 1565, 827, 2933, 543, 519, 1158, 1472, 873, 269, 1452, 2984, 1419, 2263, 4798, 899, 11505, 267, 7115, 267, 2648, 267, 3961, 267, 543, 20408, 2591, 269, 1358, 948, 721, 1174, 1114, 5380, 1247, 3450, 3407, 1272, 4245, 780, 2162, 20128, 2775, 2201, 281, 7087, 966, 7860, 692, 29378, 4589, 723, 3532, 9739, 1369, 519, 4947, 6361, 21943, 9135, 269, 4256, 2984, 2992, 2189, 5389, 543, 2833, 267, 3850, 3988, 547, 1451, 827, 1585, 4529, 543, 12583, 269, 1635, 2542, 891, 6386, 267, 649, 8661, 3309, 10080, 543, 3895, 6568, 543, 1620, 1851, 1004, 780, 4131, 781, 21302, 8625, 2336, 2411, 15365, 22860, 4506, 3332, 1522, 3280, 25254, 267, 855, 1810, 1405, 5855, 22924, 781, 3274, 3168, 6251, 693, 513, 1650, 543, 23115, 856, 875, 519, 2278, 5932, 2495, 269, 1879, 6313, 4947, 6361, 21943, 8941, 267, 2015, 891, 2055, 1384, 265, 2878, 13142, 3030, 5093, 5808, 616, 519, 1292, 3197, 286, 1548, 798, 789, 1451, 2429, 741, 15322, 888, 265, 2878, 5522, 582, 5093, 1548, 2621, 3337, 519, 3197, 262, 2729, 286, 3657, 972, 1022, 7432, 2798, 888, 265, 2878, 30787, 5093, 7316, 543, 950, 1281, 519, 1650, 1491, 1747, 286, 6496, 519, 4259, 3310, 519, 3197, 262, 1646, 888, 265, 2878, 763, 6996, 1299, 29062, 5093, 1548, 6835, 610, 4245, 10836, 286, 2052, 596, 1265, 6698, 630, 15953, 338, 8204, 8273, 2093, 264, 602, 3180, 2027, 4644, 2496, 2690, 1383, 267, 1577, 781, 1413, 693, 834, 763, 21960, 577, 321, 1046, 5600, 2437, 513, 4190, 4947, 6361, 21943, 3209, 676, 7200, 1047, 661, 6113, 5341, 269, 901, 1650, 5205, 15345, 752, 28569, 267, 513, 3303, 1243, 744, 329, 756, 933, 8004, 267, 1282, 1200, 6689, 538, 519, 4571, 268, 5197, 271, 338, 269, 10801, 519, 9661, 267, 1352, 8188, 14488, 543, 25395, 1200, 9342, 609, 1489, 689, 1920, 543, 2146, 780, 2162, 5678, 267, 21887, 267, 1299, 12856, 692, 28324, 3007, 547, 875, 5830, 946, 1913, 267, 16752, 267, 543, 3919, 547, 4739, 741, 2984, 269, 1280, 3236, 267, 7747, 875, 5188, 2337, 7866, 3197, 262, 14789, 543, 3347, 269, 3958, 267, 5469, 10593, 538, 1448, 540, 2070, 1107, 3006, 267, 2789, 5380, 10802, 938, 1620, 540, 519, 3197, 262, 2208, 269, 14936, 267, 1589, 827, 875, 519, 2278, 2855, 5190, 11271, 610, 10207, 282, 13289, 1063, 6810, 949, 5815, 1713, 8090, 538, 519, 16502, 781, 4720, 780, 3086, 1411, 8347, 2336, 1366, 19030, 303, 1157, 835, 540, 707, 5172, 2835, 10023, 513, 32249, 1915, 269, 15233, 519, 10763, 2553, 5941, 1934, 547, 3605, 1007, 6106, 540, 2495, 269, 9523, 707, 4030, 609, 2828, 610, 15032, 267, 26354, 7391, 827, 707, 4681, 256, 5457, 267, 1169, 5467, 6770, 2189, 12496, 267, 1818, 5717, 1256, 811, 10578, 269, 8414, 7421, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5970, 513, 1893, 4274, 2087, 707, 1603, 454, 305, 684, 513, 1863, 17096, 2638, 538, 476, 1015, 3764, 267, 5352, 4977, 14327, 585, 1863, 563, 268, 11310, 12476, 454, 268, 1215, 547, 2328, 513, 5339, 2079, 1557, 1923, 589, 1900, 8386, 9912, 3391, 454, 1692, 547, 3503, 513, 16520, 5811, 4828, 1923, 589, 5153, 8386, 28157, 6651, 454, 13775, 593, 5130, 476, 1789, 267, 476, 1708, 271, 676, 10793, 595, 4954, 7615, 1547, 4860, 2213, 593, 4864, 476, 1691, 267, 476, 1708, 274, 563, 24145, 776, 2079, 1797, 5702, 4974, 513, 1257, 267, 16208, 922, 10096, 267, 543, 3695, 1946, 519, 2278, 1500, 1978, 5079, 269, 898, 666, 581, 4294, 547, 9089, 267, 2110, 2984, 267, 4249, 267, 9954, 267, 610, 1022, 824, 1106, 540, 5339, 1603, 563, 288, 5339, 2079, 1557, 568, 711, 513, 17720, 2079, 2073, 6862, 568, 621, 1175, 513, 5758, 540, 519, 4729, 610, 513, 1433, 2689, 269, 5502, 267, 621, 568, 513, 1826, 540, 12819, 1557, 1141, 596, 991, 547, 5659, 2609, 971, 607, 519, 1893, 267, 5133, 267, 543, 2497, 540, 519, 1257, 267, 543, 2491, 875, 519, 2278, 3096, 5339, 3457, 547, 1711, 2360, 543, 6655, 2093, 563, 6524, 4098, 513, 5339, 2079, 1557, 267, 621, 779, 1898, 547, 5402, 1224, 519, 1257, 543, 524, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 4040, 6361, 5025, 613, 257, 607, 851, 540, 834, 11227, 1315, 7087, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 14559 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12125, 1522, 723, 547, 979, 267, 855, 707, 4305, 13652, 9535, 813, 666, 2611, 952, 519, 2319, 666, 556, 26928, 621, 269, 634, 5718, 1909, 538, 513, 2528, 1689, 568, 547, 281, 4039, 550, 8393, 7903, 519, 5551, 1439, 1533, 269, 22365, 4403, 519, 1909, 540, 3401, 543, 9946, 607, 5745, 6840, 269, 3550, 6887, 1831, 1582, 268, 23457, 269, 589, 2635, 2528, 1058, 849, 581, 2312, 827, 519, 2956, 540, 519, 2095, 540, 1344, 543, 1590, 1305, 513, 3044, 585, 2792, 2511, 269, 1284, 1246, 519, 7101, 673, 15443, 528, 1935, 269, 901, 13071, 721, 581, 1463, 538, 938, 10618, 855, 538, 513, 5943, 1141, 649, 782, 1416, 827, 1142, 824, 269, 7101, 673, 15443, 528, 13071, 2043, 1397, 10100, 543, 4161, 1866, 950, 789, 1522, 6382, 2611, 14980, 269, 901, 6038, 1797, 649, 666, 782, 960, 1732, 1510, 5739, 610, 6757, 2623, 269, 1411, 4465, 1405, 1118, 513, 7202, 538, 2528, 1510, 513, 2312, 267, 7347, 267, 543, 13455, 7903, 269, 1411, 723, 547, 7753, 24880, 543, 6370, 10721, 4761, 6114, 269, 6736, 519, 7411, 267, 519, 1382, 568, 598, 5477, 602, 2528, 568, 4105, 547, 1164, 2773, 269, 10390, 1879, 1004, 2911, 827, 2528, 538, 519, 2796, 540, 8061, 302, 1186, 267, 789, 2811, 13288, 547, 4639, 5300, 781, 30462, 2528, 267, 799, 568, 1759, 593, 17755, 2958, 528, 781, 7869, 962, 13429, 269, 15439, 2322, 267, 596, 1058, 2832, 585, 513, 2312, 267, 3838, 5692, 5916, 609, 18228, 3375, 6194, 269, 2353, 2413, 3301, 6765, 2409, 3277, 547, 713, 1523, 540, 23518, 6887, 538, 1114, 2081, 269, 1284, 3277, 547, 713, 607, 2413, 9036, 2528, 267, 2943, 519, 2093, 616, 936, 476, 1911, 1296, 2025, 269, 1280, 1383, 267, 5692, 4971, 7389, 1394, 547, 519, 476, 5197, 271, 338, 267, 28636, 2473, 543, 962, 616, 6045, 538, 513, 1433, 689, 476, 3422, 271, 267, 543, 4639, 5300, 781, 1462, 1108, 540, 10721, 4529, 729, 2966, 538, 519, 476, 2735, 271, 338, 269, 1411, 3513, 1265, 2528, 568, 519, 27162, 4554, 2428, 547, 11523, 538, 8061, 302, 1186, 269, 898, 781, 15673, 532, 547, 7048, 593, 1382, 543, 7194, 547, 6961, 519, 2013, 585, 513, 30462, 2528, 269, 12846, 267, 519, 4641, 568, 602, 2686, 1689, 5673, 593, 8903, 9423, 543, 2870, 513, 8903, 5075, 540, 1018, 519, 3919, 786, 1413, 899, 1310, 519, 5912, 563, 307, 24884, 814, 1044, 513, 1641, 540, 1719, 585, 9439, 693, 2547, 585, 519, 2063, 4557, 1296, 610, 865, 267, 1256, 1354, 602, 952, 649, 1491, 883, 2272, 519, 552, 311, 339, 3153, 14691, 2853, 543, 519, 26227, 8915, 334, 269, 6736, 922, 10645, 8560, 2221, 543, 922, 13513, 540, 2298, 519, 2259, 540, 1603, 519, 1449, 1354, 2504, 3009, 568, 1869, 19514, 269, 898, 9775, 1759, 593, 519, 19995, 781, 2796, 267, 2250, 2833, 267, 543, 519, 19995, 781, 1565, 2619, 269, 1284, 1223, 14969, 2417, 593, 519, 19514, 1702, 540, 570, 24884, 4358, 689, 519, 6101, 2069, 593, 519, 1641, 267, 4061, 267, 621, 1522, 2154, 1256, 811, 5717, 827, 922, 31675, 269, 1772, 621, 2009, 547, 4001, 3927, 570, 24884, 1510, 3318, 1788, 1995, 286, 2368, 1522, 8044, 602, 621, 568, 2009, 267, 1247, 1866, 786, 2161, 519, 6587, 269, 6736, 1390, 1543, 3370, 676, 12021, 21101, 971, 607, 744, 262, 3725, 11035, 267, 3640, 339, 267, 1948, 5410, 2581, 8862, 525, 2917, 12333, 17270, 10022, 267, 7442, 816, 267, 543, 2494, 940, 519, 2259, 540, 570, 24884, 568, 1869, 513, 4161, 267, 1256, 519, 1655, 2835, 267, 519, 1655, 1806, 267, 3112, 8850, 14377, 922, 1543, 547, 519, 2189, 2042, 602, 9439, 3068, 593, 519, 3232, 4493, 269, 15576, 553, 616, 513, 1907, 602, 1522, 581, 1031, 547, 6445, 538, 713, 7934, 585, 1312, 281, 1106, 1275, 538, 1565, 570, 24884, 543, 22464, 2042, 602, 9439, 3068, 269, 28552, 609, 737, 21648, 568, 711, 513, 10682, 267, 621, 666, 581, 6956, 607, 606, 5351, 3079, 269, 634, 631, 1143, 2255, 2060, 7464, 10819, 31943, 619, 723, 6836, 1114, 4485, 547, 4835, 1125, 1449, 12454, 1646, 269, 6736, 519, 4674, 267, 519, 25314, 2255, 1063, 2866, 543, 2504, 3009, 6818, 269, 634, 3270, 1336, 538, 8026, 15576, 553, 616, 2673, 547, 3039, 2361, 3785, 269, 769, 519, 1554, 3562, 6377, 267, 621, 568, 1034, 2693, 602, 9439, 786, 6443, 513, 6960, 7615, 1788, 602, 568, 711, 602, 7874, 547, 2226, 269, 1703, 616, 2835, 602, 1445, 1152, 593, 713, 2460, 540, 1919, 267, 585, 1383, 267, 11554, 7561, 609, 9371, 3009, 676, 7812, 3171, 1430, 338, 267, 4676, 716, 1681, 281, 25947, 519, 5071, 540, 1401, 12371, 8943, 676, 9410, 674, 578, 2401, 267, 4676, 716, 1681, 547, 18963, 676, 26056, 23715, 773, 341, 20391, 267, 543, 1082, 811, 269, 634, 3270, 602, 9439, 946, 585, 15576, 553, 855, 616, 2356, 513, 25314, 2255, 609, 2504, 3009, 602, 4749, 5526, 1927, 616, 281, 13979, 547, 1449, 689, 519, 3544, 910, 950, 1058, 594, 6467, 547, 519, 1770, 286, 6431, 11962, 4494, 910, 594, 946, 606, 10758, 300, 630, 30606, 4039, 1049, 29570, 264, 610, 519, 6106, 540, 1250, 3498, 616, 6404, 1927, 1703, 616, 1114, 4485, 602, 835, 1522, 1491, 547, 2328, 3009, 267, 1018, 568, 2356, 3838, 2066, 519, 2707, 3009, 568, 519, 4480, 540, 24590, 2042, 543, 1287, 9256, 782, 519, 4773, 547, 4194, 519, 1966, 269, 2913, 781, 4685, 883, 519, 32004, 532, 543, 1018, 621, 1797, 547, 946, 621, 547, 1376, 21365, 519, 5912, 689, 15576, 553, 547, 2504, 3009, 269, 932, 6064, 532, 634, 1184, 540, 32004, 532, 4523, 1510, 835, 711, 6005, 621, 267, 855, 9439, 616, 4966, 538, 713, 4480, 269, 634, 32004, 532, 1935, 568, 4330, 676, 4804, 875, 547, 1451, 676, 22526, 18718, 2917, 543, 849, 13269, 676, 21634, 1329, 928, 19555, 753, 538, 1200, 1433, 634, 27732, 781, 11020, 269, 634, 1184, 568, 519, 1482, 607, 606, 5690, 281, 2016, 513, 1950, 1966, 267, 1018, 616, 519, 4773, 602, 17492, 519, 1966, 286, 543, 1018, 616, 519, 4773, 602, 666, 581, 8237, 286, 2060, 1142, 1900, 267, 1847, 4464, 519, 13549, 547, 1205, 519, 1966, 12193, 269, 590, 5902, 1154, 519, 1966, 568, 1271, 267, 607, 621, 3947, 4055, 585, 938, 2634, 547, 960, 1510, 20358, 532, 621, 267, 649, 798, 723, 7687, 547, 2324, 609, 1344, 269, 18391, 4481, 693, 9439, 267, 713, 568, 835, 540, 519, 4128, 602, 835, 1522, 711, 723, 519, 3003, 1062, 6189, 538, 1200, 2212, 607, 4330, 538, 1548, 24439, 589, 4279, 12229, 23910, 286, 676, 6754, 13198, 334, 9149, 267, 25138, 808, 269, 25391, 267, 543, 808, 328, 3133, 11809, 340, 269, 14171, 513, 1900, 1394, 267, 952, 649, 616, 6158, 827, 15576, 553, 267, 789, 616, 519, 1101, 1900, 540, 32004, 532, 269, 769, 713, 3942, 267, 649, 616, 5059, 630, 8117, 3908, 264, 593, 281, 6258, 1945, 1007, 630, 7945, 607, 519, 2259, 540, 1603, 4255, 1101, 264, 1744, 17369, 513, 5578, 267, 2016, 602, 570, 24884, 568, 513, 1634, 1641, 267, 835, 1522, 1616, 547, 2119, 1114, 6163, 269, 6270, 607, 281, 609, 610, 1510, 1449, 29156, 267, 513, 1007, 11265, 2511, 267, 513, 1007, 5752, 1893, 267, 3092, 269, 9453, 713, 1101, 1900, 267, 621, 1522, 581, 2352, 585, 9439, 267, 593, 519, 2816, 267, 547, 1451, 570, 24884, 267, 1451, 4816, 3268, 267, 1451, 2241, 1374, 267, 1451, 547, 1201, 18503, 267, 1451, 11265, 6163, 602, 1522, 3514, 519, 1966, 693, 1688, 267, 1451, 519, 31544, 1935, 547, 513, 1966, 267, 543, 865, 593, 269, 1703, 568, 513, 2603, 547, 1491, 883, 2272, 267, 15576, 553, 7493, 602, 2476, 267, 543, 6212, 593, 513, 2582, 4480, 602, 568, 693, 1688, 269, 1280, 1383, 267, 1491, 519, 1739, 1592, 263, 7474, 568, 711, 29882, 264, 607, 519, 1445, 1448, 281, 535, 11170, 25975, 3960, 6212, 593, 4816, 3268, 23047, 30024, 6212, 593, 519, 570, 24884, 2095, 5100, 26806, 6212, 593, 1449, 29156, 575, 843, 539, 9782, 6212, 593, 9371, 3009, 15576, 553, 616, 1934, 547, 8897, 519, 1184, 540, 1565, 519, 2553, 602, 616, 1031, 593, 519, 3232, 4493, 676, 9439, 269, 2986, 1576, 267, 713, 568, 1175, 519, 1101, 1900, 267, 519, 1101, 32004, 602, 2636, 9439, 547, 1831, 2500, 538, 741, 960, 269, 5890, 21505, 547, 13870, 8943, 25021, 689, 513, 918, 1092, 4259, 547, 513, 3318, 1788, 602, 568, 538, 2504, 568, 711, 607, 12001, 607, 621, 1522, 1413, 269, 2913, 781, 1491, 883, 2272, 6960, 7615, 3785, 267, 799, 616, 519, 1034, 2693, 5185, 1788, 676, 9439, 269, 634, 1101, 11064, 602, 568, 711, 3362, 16487, 689, 15576, 553, 568, 602, 519, 3009, 1522, 581, 11544, 1932, 1082, 9021, 538, 513, 2582, 1362, 267, 610, 602, 972, 568, 1932, 1454, 547, 1174, 540, 519, 3009, 267, 607, 621, 729, 513, 17354, 602, 2451, 519, 2754, 2907, 2854, 267, 610, 519, 29444, 540, 519, 1788, 616, 1932, 1082, 269, 17859, 540, 1018, 621, 1522, 581, 267, 519, 2591, 2040, 909, 538, 519, 3915, 269, 28582, 2590, 1394, 547, 32004, 532, 267, 519, 1101, 1900, 1934, 568, 547, 2697, 513, 2582, 1448, 602, 666, 581, 8214, 1194, 269, 901, 568, 606, 1271, 1900, 267, 607, 519, 4480, 568, 2907, 538, 2866, 269, 29760, 593, 513, 2582, 2460, 693, 513, 942, 547, 2087, 2504, 3009, 4249, 606, 1271, 1909, 269, 2913, 781, 1589, 827, 519, 1739, 9183, 281, 1284, 723, 513, 3498, 602, 729, 2919, 609, 513, 631, 31357, 630, 16347, 268, 8698, 4211, 2632, 1503, 264, 5943, 267, 855, 519, 6106, 723, 1044, 6404, 267, 972, 568, 1100, 2312, 2482, 1359, 2469, 593, 267, 16310, 602, 267, 972, 616, 1100, 4152, 538, 1747, 267, 519, 3498, 568, 5631, 7318, 998, 513, 8261, 1935, 269, 1677, 1283, 602, 267, 9439, 1616, 547, 4019, 519, 1007, 2553, 789, 4312, 4121, 547, 1118, 519, 3009, 2226, 762, 269, 1306, 649, 2907, 5941, 267, 519, 1883, 1448, 1934, 568, 547, 2697, 519, 4773, 540, 519, 11015, 1101, 269, 8347, 532, 547, 10994, 782, 519, 2042, 602, 941, 7396, 693, 2899, 1522, 1291, 547, 811, 2800, 982, 3142, 2640, 269, 2913, 781, 26246, 519, 1883, 25098, 281, 24908, 1870, 7954, 1063, 6106, 898, 568, 2352, 547, 1224, 513, 1899, 1063, 519, 6106, 267, 1419, 3056, 547, 513, 8261, 1439, 3562, 15134, 1449, 910, 952, 621, 941, 606, 16286, 267, 621, 1131, 581, 2944, 998, 2022, 267, 952, 621, 941, 513, 1357, 3498, 267, 621, 1131, 581, 2944, 17034, 519, 11422, 543, 10188, 607, 519, 1439, 3593, 1131, 798, 269, 1703, 568, 1100, 12747, 4152, 538, 1747, 31943, 619, 1616, 547, 4019, 1007, 2553, 4121, 1323, 1383, 540, 606, 1935, 1223, 581, 7598, 513, 1007, 5690, 602, 15824, 5488, 10163, 4450, 519, 3009, 547, 3514, 606, 11265, 2511, 1403, 649, 1589, 827, 873, 835, 676, 835, 267, 649, 1376, 547, 1294, 513, 9756, 609, 1808, 15576, 553, 649, 1522, 1616, 547, 1685, 281, 24908, 6355, 20603, 9737, 700, 16558, 717, 843, 539, 9782, 568, 513, 1434, 11134, 585, 602, 267, 7311, 519, 4480, 540, 11344, 4487, 267, 2337, 547, 2087, 519, 4835, 2497, 540, 519, 3009, 269, 1703, 1772, 1100, 14825, 730, 13281, 538, 9255, 4495, 1586, 267, 717, 843, 539, 9782, 2636, 519, 5137, 540, 1007, 1449, 2665, 602, 798, 711, 6818, 267, 607, 519, 3105, 1900, 267, 1031, 519, 11344, 4487, 267, 1631, 519, 3009, 1058, 1450, 9439, 547, 2328, 1007, 4255, 602, 666, 3009, 1808, 6316, 2665, 602, 14201, 1405, 1354, 269, 31943, 619, 21763, 547, 15233, 1715, 9828, 3231, 2740, 2311, 713, 1448, 538, 942, 267, 519, 1079, 3105, 3268, 616, 538, 1747, 2907, 267, 609, 602, 267, 519, 3009, 1058, 581, 1449, 762, 2614, 602, 519, 2504, 3009, 568, 711, 3810, 13745, 609, 519, 1449, 3009, 910, 901, 1058, 581, 513, 1072, 2638, 267, 1354, 7598, 519, 1007, 2553, 269, 2052, 596, 2626, 519, 2243, 281, 1403, 594, 1201, 18503, 267, 519, 4255, 1810, 1405, 1689, 543, 594, 723, 519, 6015, 547, 5305, 286, 1403, 519, 2626, 568, 9811, 267, 1287, 7311, 1007, 2553, 4121, 1058, 581, 798, 762, 563, 29155, 4802, 8605, 4658, 717, 3387, 295, 454, 25413, 2264, 4886, 15440, 267, 0, 13563, 3214, 723, 513, 3152, 4960, 982, 2479, 1354, 540, 3384, 930, 1106, 540, 9659, 269, 3194, 676, 519, 15509, 267, 3370, 676, 595, 7034, 267, 6920, 602, 5176, 476, 272, 538, 476, 1015, 2475, 1453, 1020, 930, 1106, 540, 11095, 9659, 267, 543, 513, 1390, 1082, 811, 723, 2168 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 1911, 326, 454, 268, 12414, 760, 3940, 829, 476, 1911, 326, 454, 268, 4826, 322, 816, 3170, 829, 476, 1911, 326, 454, 268, 1215, 1082, 8477, 1281, 13617, 539, 21167, 723, 888, 268, 2836, 1559, 538, 513, 3368, 540, 1990, 1075, 577, 7236, 454, 268, 2836, 1559, 538, 2898, 1990, 1075, 577, 7236, 454, 268, 2836, 1559, 585, 835, 267, 1079, 610, 811, 1990, 1075, 577, 7236, 454, 268, 1215, 1454, 3940, 538, 30646, 888, 268, 12397, 5288, 7377, 25468, 6484, 454, 268, 12397, 5288, 21690, 25468, 8477, 454, 268, 21690, 8000, 6737, 5288, 4072, 564, 8000, 6737, 3940, 454, 268, 21690, 8000, 6737, 5288, 3600, 1941, 8293, 1662, 4006, 454, 268, 21690, 8000, 6737, 5288, 808, 545, 4821, 8324, 454, 268, 21690, 8000, 6737, 5288, 31089, 629, 15676, 8192, 6775, 454, 268, 21690, 8000, 6737, 5288, 962, 1075, 320, 6171, 1756, 595, 454, 268, 21690, 8000, 6737, 5288, 17926, 8000, 10633, 4012, 1145, 1756, 454, 268, 21690, 8000, 6737, 5288, 4414, 8000, 6737, 11379, 0, 25402, 6737, 8392, 5328, 5544, 3644, 630, 307, 5425, 309, 264, 568, 606, 9647, 582, 2214, 21552, 602, 3123, 513, 14042, 2068, 538, 16603, 630, 299, 344, 19817, 619, 6625, 1965, 1529, 550, 636, 16019, 1040, 307, 5425, 309, 7153, 5063, 538, 3162, 8419, 269, 5525, 941, 5342, 538, 1614, 5010, 16603, 4610, 538, 24543, 5937, 1228, 6019, 267, 8419, 1282, 519, 10448, 21212, 12405, 689, 5239, 547, 4989, 538, 476, 1001, 276, 998, 476, 1001, 278, 269, 3962, 1032, 267, 1239, 941, 6394, 693, 476, 274, 267, 476, 277, 267, 543, 476, 280, 530, 330, 1310, 13003, 532, 693, 1585, 9883, 689, 519, 8728, 540, 1142, 4610, 269, 9122, 593, 476, 274, 29757, 2698, 5439, 267, 1614, 2249, 540, 555, 686, 1186, 941, 4122, 4767, 5283, 517, 555, 686, 1186, 267, 774, 686, 1186, 13869, 328, 10127, 5500, 630, 7830, 269, 1626, 13008, 476, 271, 269, 8064, 15992, 1373, 519, 1034, 10731, 2249, 4553, 676, 1455, 19806, 558, 555, 686, 1186, 267, 15284, 328, 7578, 11634, 738, 2763, 328, 8347, 321, 558, 630, 2641, 269, 4649, 13008, 476, 271, 269, 5780, 15992, 543, 7262, 8768, 555, 686, 1186, 267, 15284, 328, 7578, 1624, 1211, 23653, 630, 303, 1120, 663, 324, 264, 630, 1626, 269, 2918, 13008, 476, 271, 269, 8618, 22103, 2806, 1495, 766, 540, 782, 555, 686, 1186, 543, 570, 5425, 309, 7783, 2371, 729, 1164, 693, 519, 6316, 540, 513, 16603, 2361, 476, 274, 530, 330, 1310, 13003, 532, 609, 3648, 7864, 7783, 2371, 4724, 519, 4099, 540, 519, 2361, 7868, 3892, 3270, 540, 555, 686, 1186, 543, 570, 5425, 309, 538, 1585, 4610, 941, 6140, 2834, 543, 10015, 730, 2066, 519, 10386, 7389, 1282, 519, 1353, 1974, 269, 2806, 1495, 766, 540, 570, 5425, 309, 31916, 2371, 543, 555, 686, 1186, 2249, 729, 1164, 693, 519, 6316, 540, 519, 2361, 543, 2799, 936, 942, 269, 634, 1297, 540, 5439, 2838, 547, 8308, 3313, 2551, 5860, 540, 555, 686, 1186, 729, 7229, 676, 1210, 1614, 8856, 2157, 630, 271, 269, 1015, 267, 476, 271, 269, 736, 267, 476, 271, 269, 1789, 264, 693, 1614, 24441, 24186, 540, 555, 686, 1186, 630, 271, 269, 1015, 267, 476, 271, 269, 736, 267, 543, 476, 271, 269, 2412, 829, 3732, 1040, 1607, 1344, 786, 1683, 4808, 547, 25210, 267, 7693, 4027, 10986, 267, 6694, 1085, 8083, 267, 543, 3173, 547, 1020, 513, 4264, 555, 686, 1186, 543, 547, 4944, 21552, 2359, 1982, 563, 2791, 723, 16761, 513, 3684, 8144, 540, 5697, 1543, 689, 938, 12240, 269, 901, 10342, 568, 3177, 9003, 585, 707, 13418, 543, 568, 538, 1100, 1259, 5497, 547, 5372, 1480, 8144, 269, 26681, 12713, 3080, 6862, 519, 5411, 543, 21101, 540, 519, 1543, 1118, 267, 543, 789, 12799, 771, 8010, 267, 1022, 2769, 610, 22466, 11269, 610, 15549, 625, 540, 1022, 2186, 267, 1519, 267, 1510, 20159, 267, 11269, 543, 15549, 625, 607, 547, 519, 10342, 540, 519, 8144, 4183, 610, 519, 6111, 610, 1264, 28467, 540, 519, 16627, 563, 9558, 331, 725, 616, 711, 17477, 538, 938, 1062, 269, 2659, 946, 540, 713, 4183, 543, 519, 16627, 568, 1641, 547, 782, 946, 9993, 8659, 538, 519, 16301, 543, 17148, 540, 2422, 540, 519, 12713, 3080, 3896, 563, 14157, 269, 476, 5392, 3040, 3143, 269, 476, 272, 0, 5649, 519, 2376, 2630, 543, 4585, 519, 3381, 269, 634, 2376, 568, 2854, 538, 476, 4198, 273, 267, 519, 1032, 5518, 16452, 32457, 9896, 606, 10324, 1931, 267, 2560, 29715, 532, 968, 553, 6385, 607, 2009, 892, 513, 3609, 9591, 968, 3225, 1275, 540, 2126, 543, 4316, 585, 782, 7606, 538, 519, 11439, 2533, 1510, 2543, 547, 5198, 267, 2681, 267, 4984, 610, 3084, 5169, 1848, 4179, 2517, 344, 719, 340, 269, 2041, 270, 309, 326, 341, 271, 332, 313, 6224, 303, 3464, 4179, 2517, 2908, 10517, 3016, 2593, 270, 14835, 270, 4281, 275, 6349, 8276, 26090, 10784, 1122, 1674, 2275, 2753, 8573, 2074, 3146, 1636, 1284, 666, 1294, 689, 938, 13220, 543, 5717, 602, 1004, 540, 2681, 723, 6039, 938, 2197, 609, 10100, 543, 11348, 5103, 22303, 269, 1548, 568, 519, 1459, 1533, 540, 1004, 540, 2681, 7674, 538, 519, 4108, 286, 4855, 693, 2547, 835, 610, 1079, 4930, 543, 4766, 519, 1459, 1533, 610, 2152, 267, 596, 949, 4584, 835, 540, 519, 2665, 538, 519, 1257, 547, 5635, 621, 547, 543, 666, 1445, 593, 513, 1808, 5198, 269, 1548, 568, 707, 5114, 547, 602, 286, 2422, 824, 1382, 547, 2911, 827, 519, 2152, 543, 2097, 547, 513, 3932, 563, 2710, 596, 991, 1164, 7779, 11426, 4828, 5675, 7896, 286, 0, 3682, 6883, 519, 12213, 7256, 20767, 2939, 16680, 281, 7046, 7909, 3778, 543, 645, 8438, 12472, 454, 763, 1646, 540, 7286, 29370, 1601, 559, 1979, 739, 7806, 19973, 6719, 606, 2038, 267, 2629, 1900, 585, 12779, 334, 4117, 2762, 1317, 540, 519, 991, 585, 2518, 14404, 15572, 545, 9756, 269, 6715, 13577, 14404, 19973, 8507, 602, 1644, 2789, 29370, 1601, 559, 9696, 267, 11275, 739, 7806, 19973, 543, 2447, 739, 7806, 580, 777, 1506, 585, 519, 2063, 9625, 1911, 544, 903, 267, 607, 1134, 607, 3246, 513, 6325, 267, 1164, 22822, 942, 4336, 563, 763, 2620, 5498, 320, 12779, 2632, 1670, 13055, 814, 3366, 547, 513, 3984, 540, 2101, 23484, 2509, 513, 3376, 1620, 540, 519, 3047, 607, 606, 9687, 1062, 269, 1452, 1331, 281, 513, 13497, 4824, 1620, 540, 519, 1979, 5328, 543, 12779, 14535, 16652, 4493, 585, 519, 15523, 540, 519, 595, 523, 32223, 543, 519, 10137, 540, 713, 1702, 547, 519, 4587, 2594, 282, 519, 6602, 602, 519, 5836, 693, 782, 17909, 568, 711, 2241, 543, 17946, 4474, 855, 568, 513, 2565, 543, 29858, 4657, 851, 540, 519, 2518, 1062, 282, 4824, 1620, 540, 519, 2470, 540, 519, 28506, 2023, 545, 7706, 267, 922, 4720, 267, 7607, 267, 12779, 334, 1815, 1108, 543, 875, 713, 7706, 814, 6766, 519, 5836, 11159, 2594, 282, 11050, 946, 540, 28506, 2023, 545, 29370, 1601, 2812, 547, 7447, 2250, 5210, 543, 824, 2175, 540, 519, 2627, 5836, 282, 543, 7418, 2509, 1620, 540, 12105, 3157, 543, 3069, 269, 0, 2793, 306, 910, 6348, 785, 4246, 13985, 1738, 15661, 454, 22416, 18474, 267, 808, 269, 476, 1001, 278, 269, 4841, 3605, 1007, 12362, 2249, 538, 3397, 622, 7345, 269, 8235, 6019, 5240, 20048, 1834, 269, 5565, 4498, 26092, 267, 30400, 269, 5291, 2517, 4178, 7456, 322, 18080, 11388, 1834, 2593, 30406, 14121, 6851, 3620, 16808, 832, 270, 32542, 3583, 276, 272, 24713, 757, 1673, 4593, 1478, 20642, 29554, 6741, 2886, 268, 698, 622, 1532, 599, 269, 23095, 593, 476, 5400, 270, 1839, 270, 1001, 278, 269, 21700, 593, 476, 5400, 270, 1839, 270, 1001, 278, 563, 27270, 7089, 281, 476, 19054, 5038, 454, 12041, 281, 5689, 18474, 267, 808, 563, 14630, 630, 20204, 2567, 476, 1001, 278, 454, 17138, 281, 10743, 3605, 1007, 12362, 2249, 538, 3397, 622, 7345, 454, 21812, 281, 299, 820, 6019, 5240, 20048, 1834, 454, 21812, 19715, 281, 10521, 4498, 26092, 267, 30400, 454, 16966, 539, 593, 281, 476, 5400, 270, 1839, 270, 1001, 278, 454, 32046, 593, 281, 476, 5400, 270, 1839, 270, 1001, 278, 454, 21292, 281, 8000, 600, 690, 17662, 5743, 16476, 267, 1225, 569, 6122, 2378, 11432, 15634, 454, 22025, 600, 690, 17662, 5743, 16476, 30400, 910, 3397, 622, 7345, 267, 2282, 5565, 4498, 26092, 454, 763, 1239, 6719, 593, 713, 3135, 4268, 538, 6111, 267, 4336, 267, 1264, 28467, 267, 6708, 540, 3795, 543, 5169, 269, 898, 568, 519, 3593, 781, 5539, 547, 946, 891, 1239, 5812, 609, 741, 5497, 3483, 543, 1369, 7150, 7687, 269, 1284, 3810, 4363, 17265, 27034, 6119, 1991, 547, 16208, 891, 1239, 563, 290, 2787, 1344, 281, 772, 2529, 269, 24959, 11752, 269, 1547, 6348, 785, 4246, 13985, 1738, 15661, 18482, 269, 28150, 525, 6807, 267, 8419, 269, 21700, 1496, 1321, 270, 279, 270, 1708, 273, 14073, 23086, 721, 952, 596, 616, 1210, 1239, 689, 713, 3135, 585, 513, 8313, 547, 1118, 2386, 519, 1239, 616, 1373, 1031, 14013, 543, 585, 1761, 1071, 22052, 4243, 1222, 952, 11562, 5896, 563, 2690, 2489, 1344, 543, 2055, 827, 519, 6538, 267, 3346, 24380, 2917, 12253, 269, 1280, 2042, 543, 2930, 2152, 267, 3346, 15623, 3026, 12291, 269, 0, 1607, 1362, 568, 1100, 3476, 2139, 267, 855, 649, 1336, 1945, 2147, 2336, 276, 269, 271, 630, 275, 264, 5788, 12698, 476, 1724, 268, 1240, 454, 25811, 1359, 26386, 910, 20509, 338, 267, 17086, 1299, 10049, 910, 13241, 693, 4518, 454, 276, 269, 271, 630, 7830, 264, 5788, 12698, 476, 279, 268, 1321, 454, 22129, 28315, 256, 630, 288, 2471, 476, 279, 268, 1321, 994, 276, 269, 271, 630, 272, 264, 5788, 12698, 476, 276, 268, 279, 454, 28012, 19296, 281, 28315, 13241, 12694, 454, 276, 269, 271, 630, 275, 264, 5788, 12698, 476, 1321, 268, 1704, 454, 27154, 10017, 281, 11879, 15154, 454, 276, 269, 271, 630, 10463, 264, 5788, 12698, 476, 274, 268, 277, 454, 763, 3163, 6997, 281, 24732, 593, 3163, 11833, 2336, 276, 269, 271, 630, 2420, 264, 5788, 12698, 476, 274, 268, 277, 454, 302, 4117, 24601, 2060, 15516, 269, 4911, 773, 256, 630, 302, 32054, 994, 16631, 1299, 7186, 454, 307, 5875, 10358, 543, 808, 18804, 1975, 11107, 269, 2913, 779, 6258, 2353, 6168, 21220, 13135, 19966, 1013, 1749, 2336, 1103, 713, 835, 942, 1362, 649, 786, 1451, 782, 827, 938, 476, 279, 682, 13949, 2828, 4534, 20151, 256, 1284, 786, 1445, 593, 519, 21792, 17259, 17178, 543, 519, 4552, 344, 512, 5875, 3121, 563, 3891, 21355, 10557, 4591, 869, 599, 454, 4375, 2698, 8039, 585, 713, 4116, 454, 1704, 8039, 585, 713, 1362, 454, 4467, 921, 1540, 676, 476, 5392, 6267, 454, 2467, 616, 1100, 14232, 5049, 563, 3598, 2996, 829, 1362, 454, 1692, 1281, 513, 834, 3080, 6874, 830, 257, 1362, 960, 888, 9288, 1115, 2899, 693, 513, 16516, 942, 454, 299, 633, 3381, 10004, 267, 6592, 543, 16913, 585, 3106, 543, 2298, 454, 15124, 585, 3695, 1007, 4690, 543, 1114, 6163, 540, 3610, 454, 1692, 4934, 25217, 3718, 454, 2467, 616, 1100, 1930, 9634, 585, 713, 1362, 563, 2791, 666, 7662, 1776, 942, 610, 20801, 1524, 547, 1265, 811, 5049, 899, 713, 563, 2171, 786, 1451, 930, 1187, 5013, 543, 2911, 827, 1018, 891, 27442, 1013, 1749, 2732, 543, 7226, 1413, 899, 269, 901, 1362, 568, 5078, 585, 17178, 18798, 267, 543, 1256, 1346, 602, 949, 7985, 689, 513, 3787, 540, 27442, 1013, 22785, 256, 22067, 4712, 547, 2671, 707, 2123, 2833, 267, 543, 7119, 538, 513, 2243, 543, 2626, 4901, 267, 1247, 649, 2263, 1946, 891, 7068, 1404, 606, 1271, 1909, 538, 938, 5117, 269, 901, 1362, 786, 1331, 513, 1224, 16965, 1433, 543, 513, 3381, 10223, 17259, 20151, 543, 512, 5875, 10358, 269, 5192, 4712, 547, 1865, 2483, 10743, 786, 1451, 519, 4214, 540, 27442, 1013, 573, 269, 22996, 786, 581, 2111, 547, 10646, 1063, 513, 17178, 543, 606, 5521, 269, 4841, 786, 1451, 827, 7226, 543, 2732, 563, 296, 993, 513, 2385, 543, 513, 4116, 269, 2290, 540, 1250, 18653, 568, 3450, 2825, 2257, 543, 5726, 269, 594, 2972, 4543, 1053, 1265, 741, 2648, 540, 2470, 543, 782, 922, 11317, 734, 16838, 5216, 6122, 13949, 3283, 2336, 2412, 3764, 829, 3018, 538, 1362, 267, 543, 6148, 930, 942, 3544, 540, 1362, 563, 3891, 21355, 10557, 4591, 869, 599, 4131, 781, 5620, 8342, 543, 6258, 23985, 1715, 2336, 4375, 2698, 8039, 454, 3451, 6192, 5049, 454, 17098, 594, 6557 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 898, 568, 513, 1907, 547, 4308, 609, 971, 27753, 269, 898, 5161, 540, 2947, 2338, 630, 852, 267, 602, 729, 513, 9983, 267, 7012, 1405, 621, 286, 1070, 799, 616, 3833, 1114, 689, 519, 1611, 540, 707, 10471, 269, 13298, 982, 602, 267, 789, 2995, 596, 630, 893, 569, 264, 875, 519, 2338, 616, 7856, 1063, 519, 8766, 1871, 543, 519, 31062, 269, 1358, 616, 630, 5228, 10545, 547, 4102, 17107, 272, 269, 29358, 281, 634, 10545, 1297, 538, 519, 10471, 3248, 273, 269, 3689, 14415, 850, 281, 634, 1647, 540, 519, 4130, 3368, 3248, 274, 269, 2405, 1014, 281, 634, 1647, 540, 782, 519, 2418, 3248, 275, 269, 12059, 14415, 850, 281, 634, 1647, 540, 519, 3677, 3368, 282, 543, 454, 276, 269, 26228, 281, 634, 4102, 1297, 538, 519, 10471, 780, 2690, 3236, 267, 519, 2947, 1297, 5758, 593, 519, 7194, 689, 519, 1657, 1383, 1131, 2995, 596, 602, 972, 616, 1152, 513, 1906, 1004, 602, 2097, 2673, 547, 519, 31062, 14057, 540, 1269, 1789, 267, 1822, 267, 855, 7899, 540, 5520, 1818, 259, 272, 267, 4335, 780, 763, 3579, 3364, 568, 602, 972, 781, 849, 513, 8799, 1259, 547, 14650, 519, 476, 276, 1297, 5758, 281, 519, 865, 10777, 4216, 543, 31953, 518, 4729, 269, 744, 9536, 569, 2614, 267, 621, 814, 4986, 547, 798, 609, 513, 3032, 781, 31953, 619, 269, 2913, 781, 7914, 547, 519, 1985, 3296, 543, 1294, 1018, 621, 781, 782, 827, 780, 6930, 498, 492, 12017, 787, 585, 811, 1702, 286, 2107, 711, 2386, 827, 1022, 540, 519, 18765, 649, 4312, 859, 12097, 286, 3371, 616, 930, 15345, 14269, 2645, 602, 786, 948, 596, 1384, 1012, 13340, 543, 31953, 518, 4729, 6045, 692, 4131, 781, 2899, 1586, 1353, 519, 1383, 689, 519, 1657, 3296, 281, 519, 23269, 538, 513, 2754, 5356, 596, 513, 2816, 269, 17166, 602, 596, 11214, 3893, 707, 3946, 593, 519, 2947, 1297, 5758, 7194, 540, 891, 2418, 538, 519, 1106, 540, 513, 4216, 543, 31953, 518, 4729, 1384, 10214, 1498, 649, 1810, 1405, 723, 513, 4336, 593, 519, 8880, 7852, 267, 649, 666, 1869, 1205, 513, 2603, 540, 3730, 1344, 689, 519, 4605, 269, 1809, 1101, 267, 1577, 781, 2491, 782, 519, 2609, 540, 519, 4216, 543, 31953, 518, 4729, 780, 20058, 267, 1577, 781, 1294, 875, 547, 1265, 519, 476, 276, 1297, 5758, 593, 713, 4729, 269, 769, 1249, 267, 713, 7948, 1405, 581, 12863, 281, 519, 2947, 2418, 630, 5228, 10545, 547, 4102, 267, 607, 2016, 538, 519, 1657, 3296, 264, 616, 6537, 607, 519, 7299, 3515, 593, 519, 4729, 630, 5228, 2451, 547, 1318, 1070, 1775, 4318, 1421, 692, 1892, 634, 5934, 568, 519, 2451, 1439, 540, 519, 2451, 8880, 1899, 630, 3369, 7416, 518, 11850, 1892, 634, 1101, 14415, 850, 267, 519, 11667, 267, 543, 519, 3791, 14415, 850, 616, 519, 1614, 15654, 3515, 540, 519, 13551, 630, 7901, 2567, 922, 2451, 2427, 267, 519, 1899, 998, 519, 1647, 267, 543, 519, 1318, 2427, 282, 543, 454, 1892, 634, 5021, 568, 519, 1318, 1439, 540, 519, 1318, 8880, 1899, 630, 3369, 7416, 518, 6393, 11997, 267, 1256, 1510, 519, 2338, 602, 5330, 547, 891, 3515, 267, 649, 666, 7747, 3833, 513, 1906, 1919, 1934, 780, 272, 269, 634, 5021, 1871, 568, 1454, 3677, 982, 1034, 540, 519, 2418, 269, 901, 1797, 602, 519, 16628, 2306, 513, 2603, 811, 982, 519, 3328, 9441, 563, 273, 269, 4634, 1498, 519, 8766, 1297, 568, 930, 3845, 2476, 689, 519, 11667, 267, 972, 666, 1405, 581, 1932, 1082, 1004, 15980, 602, 2179, 269, 2991, 782, 267, 689, 972, 547, 519, 1101, 14415, 850, 267, 649, 2099, 1152, 513, 10116, 540, 782, 519, 2418, 269, 901, 2982, 602, 4352, 519, 4358, 14057, 949, 581, 1970, 267, 3478, 513, 6318, 4667, 3810, 21483, 563, 274, 269, 634, 4216, 4564, 2418, 1063, 519, 1101, 543, 519, 3791, 14415, 850, 267, 799, 5330, 547, 3368, 540, 519, 13366, 269, 901, 3947, 513, 11315, 2856, 540, 1141, 519, 3328, 14057, 6013, 630, 16341, 3602, 1472, 519, 4216, 264, 543, 875, 2484, 621, 568, 689, 519, 5934, 630, 1492, 4358, 14057, 6393, 8855, 267, 2705, 267, 602, 519, 476, 276, 1297, 5758, 538, 7194, 2488, 1152, 513, 2489, 2856, 540, 707, 10471, 267, 865, 713, 1239, 2079, 568, 711, 607, 3169, 607, 649, 9364, 3006, 6999, 269, 12846, 267, 1631, 602, 649, 723, 519, 4216, 543, 31953, 518, 4729, 6045, 267, 649, 666, 1118, 1434, 946, 540, 713, 1344, 267, 2705, 11315, 621, 568, 780, 2171, 4312, 2938, 835, 2427, 540, 519, 1966, 267, 1577, 781, 1631, 2638, 856, 519, 824, 835, 269, 898, 781, 1164, 942, 649, 1294, 875, 547, 1265, 519, 476, 276, 1297, 5758, 540, 606, 17062, 10471, 780, 2252, 596, 1616, 547, 3605, 811, 267, 649, 723, 513, 6131, 4216, 4729, 9498, 2439, 1012, 1215, 547, 1265, 519, 476, 276, 1297, 5758, 2496, 306, 599, 602, 596, 2811, 2016, 513, 5311, 540, 2338, 267, 513, 8975, 479, 267, 513, 8975, 480, 267, 513, 8975, 481, 267, 24222, 606, 267, 543, 267, 585, 16134, 267, 8263, 602, 789, 616, 10288, 689, 519, 10545, 547, 519, 4102, 630, 1278, 3772, 267, 649, 9364, 723, 547, 1931, 873, 1354, 3001, 547, 519, 1985, 1900, 6393, 2171, 2253, 519, 1184, 540, 875, 547, 1265, 519, 476, 276, 1297, 5758, 540, 938, 5311, 689, 519, 14724, 540, 519, 2947, 2418, 1384, 2381, 3065, 815, 513, 8975, 479, 10484, 10946, 3065, 815, 606, 780, 288, 16994, 3750, 786, 7747, 602, 1934, 621, 568, 2629, 602, 938, 5311, 568, 10288, 269, 1403, 621, 14201, 1405, 267, 519, 17523, 476, 272, 543, 562, 1223, 581, 4636, 780, 9202, 267, 649, 1265, 519, 11667, 269, 1635, 4214, 267, 621, 568, 519, 834, 332, 1497, 257, 1871, 540, 938, 5311, 269, 901, 1797, 602, 952, 267, 585, 3236, 267, 649, 723, 5722, 2338, 630, 328, 4318, 1421, 562, 815, 476, 278, 1070, 1287, 519, 11667, 786, 581, 3160, 547, 513, 8975, 482, 1317, 713, 7127, 814, 1614, 2609, 547, 519, 2451, 630, 20791, 518, 264, 543, 1614, 2609, 547, 519, 1318, 630, 331, 24147, 6393, 257, 3719, 1018, 952, 562, 568, 1256, 286, 1703, 568, 1100, 1647, 267, 1287, 267, 568, 972, 8119, 769, 602, 2013, 649, 723, 547, 1711, 519, 1647, 6000, 281, 649, 1491, 519, 1079, 2338, 602, 616, 14191, 547, 519, 4099, 630, 324, 3052, 1421, 585, 562, 815, 476, 279, 267, 789, 1131, 581, 513, 8975, 482, 267, 543, 513, 8975, 483, 264, 543, 1491, 741, 3328, 267, 1775, 4318, 1421, 2040, 873, 543, 7941, 519, 1267, 676, 1079, 630, 1721, 562, 815, 476, 279, 267, 621, 1131, 581, 11667, 815, 630, 320, 8975, 482, 1341, 513, 8975, 483, 264, 1315, 476, 273, 6393, 3086, 602, 649, 4312, 6045, 875, 547, 1265, 519, 11667, 267, 621, 781, 15864, 547, 5581, 519, 1101, 543, 3791, 14415, 3796, 899, 713, 281, 789, 616, 519, 1199, 2103, 540, 519, 1101, 543, 519, 2034, 3368, 540, 782, 519, 13366, 267, 6606, 269, 8074, 602, 519, 2012, 14415, 850, 2501, 689, 519, 1249, 602, 789, 5581, 519, 1439, 540, 519, 1101, 10116, 543, 519, 4098, 540, 519, 2063, 10116, 540, 13366, 267, 6606, 269, 4982, 2526, 1836, 267, 649, 666, 2161, 602, 476, 1839, 260, 630, 320, 10116, 264, 540, 782, 2418, 616, 2630, 519, 1101, 14415, 850, 543, 602, 476, 4037, 260, 630, 22764, 20453, 264, 616, 2630, 519, 3791, 14415, 850, 269, 901, 267, 538, 2490, 267, 1797, 602, 789, 5330, 547, 519, 476, 1839, 628, 543, 519, 476, 4037, 628, 30878, 540, 519, 10471, 780, 2690, 3236, 267, 952, 562, 815, 476, 279, 267, 1287, 519, 1101, 14415, 850, 568, 519, 11667, 540, 13366, 513, 8975, 479, 267, 513, 8975, 480, 267, 513, 8975, 481, 267, 513, 8975, 482, 267, 543, 519, 3791, 14415, 850, 568, 602, 540, 13366, 513, 8975, 483, 267, 513, 8975, 484, 267, 513, 8975, 485, 267, 513, 8975, 486, 269, 1717, 267, 952, 562, 568, 9642, 267, 2161, 267, 562, 815, 476, 278, 267, 1287, 789, 616, 519, 1199, 2103, 540, 513, 8975, 479, 267, 513, 8975, 480, 267, 513, 8975, 481, 267, 513, 8975, 482, 543, 540, 513, 8975, 482, 267, 513, 8975, 483, 267, 513, 8975, 484, 267, 513, 8975, 485, 267, 6606, 630, 328, 4318, 1421, 519, 1647, 1297, 568, 7368, 538, 1312, 9696, 6393, 3383, 1018, 568, 513, 476, 276, 1297, 5758, 286, 898, 568, 3274, 519, 1305, 540, 891, 2947, 2338, 1384, 272, 269, 29358, 3248, 273, 269, 3689, 14415, 850, 3248, 274, 269, 2405, 1014, 3248, 275, 269, 12059, 14415, 850, 282, 543, 454, 276, 269, 26228, 780, 303, 515, 342, 267, 513, 2603, 540, 942, 814, 5293, 2094, 649, 3459, 2542, 998, 782, 713, 3069, 269, 898, 9327, 1405, 10413, 547, 1294, 930, 25948, 1383, 267, 1131, 621, 286, 769, 513, 2034, 267, 649, 3513, 798, 1175, 602, 543, 6368, 1294, 519, 476, 276, 1297, 5758, 9498, 538, 2962, 2439, 1012, 7151, 281, 1210, 519, 476, 276, 1297, 5758, 9498, 692, 306, 599, 602, 596, 2811, 513, 1164, 1153, 4116, 543, 602, 596, 2811, 16287, 513, 2487, 1449, 596, 5795, 707, 1053, 269, 1411, 2811, 711, 1932, 2386, 952, 596, 1500, 621, 1932, 2653, 610, 1932, 2352, 269, 2913, 781, 5659, 519, 2164, 1210, 938, 476, 276, 1297, 5758, 9498, 547, 1265, 856, 267, 4927, 649, 2496, 763, 1449, 729, 856, 540, 476, 2004, 2798, 267, 543, 519, 2164, 616, 1384, 3953, 267, 476, 2641, 267, 476, 4343, 267, 476, 1321, 267, 476, 4510, 267, 476, 5655, 267, 476, 4391, 267, 476, 3607, 267, 476, 2641, 267, 476, 280, 267, 476, 2412, 267, 476, 3451, 267, 476, 2420, 267, 476, 1839, 267, 476, 2767, 267, 476, 3066, 267, 476, 1789, 267, 476, 4366, 267, 476, 866, 267, 476, 1704, 267, 476, 1789, 267, 476, 2420, 267, 476, 3393, 267, 476, 5655, 780, 2467, 616, 8938, 21144, 4255, 267, 543, 693, 1101, 16145, 267, 621, 781, 1360, 2352, 547, 1294, 952, 267, 3622, 6340, 267, 621, 4682, 1134, 610, 711, 269, 18641, 267, 519, 476, 276, 5991, 3784, 5758, 9498, 786, 2285, 721, 930, 5813, 883, 519, 2626, 267, 865, 1577, 781, 1294, 1018, 649, 1205, 780, 5472, 649, 991, 547, 798, 568, 3403, 519, 13366, 835, 676, 835, 269, 27297, 602, 950, 649, 1930, 519, 476, 276, 5991, 3784, 5758, 9498, 267, 649, 1294, 1152, 5216, 4610, 1141, 649, 666, 3403, 2338, 269, 1717, 267, 2899, 649, 6445, 891, 538, 267, 1007, 3283, 786, 2408, 267, 543, 267, 782, 538, 782, 267, 519, 9498, 2636, 909, 547, 13977, 2418, 780, 2171, 2328, 938, 2338, 538, 519, 4610, 6825, 607, 1948, 272, 909, 547, 1948, 2190, 269, 27297, 875, 513, 9864, 2626, 568, 2907, 3254, 950, 649, 3403, 519, 2034, 1871, 543, 875, 621, 2242, 609, 1169, 1297, 649, 2285, 269, 4746, 267, 4063, 875, 938, 13366, 616, 711, 10288, 689, 10545, 547, 4102, 269, 634, 9498, 1281, 519, 19280, 585, 721, 543, 1256, 3947, 721, 519, 22619, 1221, 5311, 896, 519, 4756, 4610, 780, 5629, 649, 3403, 519, 2063, 1297, 267, 649, 3513, 1294, 519, 2947, 5991, 3784, 5758, 540, 938, 7194, 1966, 269, 6969, 649, 5659, 621, 267, 1577, 781, 10544, 513, 4062, 540, 1957, 543, 1294, 875, 547, 1265, 519, 476, 276, 5991, 3784, 5758, 6000, 780, 5575, 540, 782, 267, 649, 991, 547, 1931, 938, 2338, 689, 10545, 547, 4102, 269, 7937, 267, 21898, 1862, 2334, 781, 2907, 930, 936, 5503, 538, 6476, 547, 1210, 519, 15345, 14269, 18185, 269, 7102, 3118, 267, 1934, 621, 568, 1384, 280, 267, 476, 1321, 267, 476, 1704, 267, 476, 866, 267, 476, 2641, 267, 476, 2641, 267, 476, 2420, 267, 476, 2420, 267, 476, 1839, 267, 476, 2767, 267, 476, 3066, 267, 476, 1789, 267, 476, 1789, 267, 476, 3953, 267, 476, 3451, 267, 476, 3607, 267, 476, 4391, 267, 476, 4343, 267, 476, 2412, 267, 476, 5655, 267, 476, 5655, 267, 476, 4510, 267, 476, 3393, 267, 476, 4366, 780, 9617, 607, 649, 4330, 538, 519, 1657, 3296, 267, 649, 2253, 676, 4466, 519, 5934, 543, 519, 5021, 1384, 2381, 3065, 815, 476, 280, 10484, 10946, 3065, 815, 476, 4366, 780, 11039, 267, 1100, 835, 3893, 4642, 267, 865, 602, 781, 513, 1434, 3364, 269, 1809, 1100, 835, 3893, 519, 5021, 267, 2901, 269, 7102, 3118, 267, 1577, 781, 4734, 519, 2079, 585, 2663, 543, 1205, 1394, 547, 519, 824, 1614, 2418, 689 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8138, 2102, 637, 1299, 15019, 570, 1886, 525, 692, 306, 17532, 9977, 32741, 12732, 2066, 2789, 24848, 637, 1369, 4207, 5708, 267, 1519, 1507, 2389, 1144, 5468, 267, 9036, 13341, 267, 543, 2828, 3562, 2000, 13569, 7653, 269, 2368, 2442, 21050, 525, 1336, 1369, 891, 6386, 1331, 1384, 272, 269, 5822, 932, 1734, 281, 5019, 6782, 1235, 22653, 924, 1310, 1296, 6306, 267, 2348, 9921, 323, 2094, 741, 3355, 7237, 269, 2060, 4195, 5380, 267, 789, 28958, 3255, 547, 12081, 924, 2025, 31168, 543, 1628, 6793, 4296, 982, 2479, 1354, 780, 7078, 281, 631, 14371, 269, 17659, 523, 781, 834, 27094, 14576, 338, 257, 7710, 513, 2034, 7302, 766, 15832, 1063, 1079, 5449, 15032, 4547, 1394, 1927, 676, 12556, 780, 273, 269, 11534, 657, 2572, 5900, 847, 281, 30449, 532, 2043, 689, 1114, 10080, 5932, 8082, 543, 10761, 607, 789, 4161, 1142, 824, 781, 4978, 543, 2418, 269, 3683, 942, 267, 17804, 16752, 6536, 2208, 543, 7071, 585, 3309, 2833, 780, 274, 269, 10555, 14740, 281, 589, 1291, 1915, 554, 1938, 3297, 606, 620, 5362, 610, 3924, 267, 13031, 3020, 3961, 2663, 538, 519, 1650, 269, 19461, 21390, 2285, 1259, 547, 4514, 4276, 2899, 11580, 2097, 547, 1769, 780, 275, 269, 1280, 321, 5200, 11146, 281, 24498, 4229, 21279, 27503, 3347, 1813, 547, 6848, 8155, 267, 3318, 9993, 267, 610, 1920, 1843, 687, 269, 6736, 14488, 267, 18798, 829, 572, 3164, 267, 18445, 602, 9758, 15754, 25186, 7496, 780, 21010, 532, 609, 7073, 10748, 7891, 692, 28757, 17266, 9977, 32741, 3180, 1880, 10083, 585, 2221, 781, 3988, 1222, 2016, 13346, 22097, 543, 9687, 8456, 4724, 1875, 10177, 6463, 3885, 269, 4340, 547, 2487, 772, 2529, 269, 17227, 13163, 1239, 630, 1708, 272, 1070, 5111, 476, 1428, 2929, 1977, 1453, 2661, 609, 513, 2582, 2385, 1107, 1226, 908, 547, 5176, 835, 538, 2185, 3214, 896, 2085, 476, 1240, 269, 5015, 267, 1857, 10343, 540, 4244, 19824, 814, 6738, 3648, 267, 3850, 811, 1930, 5717, 4478, 2582, 30822, 11856, 543, 922, 2591, 780, 3528, 10223, 8076, 28402, 540, 2582, 3237, 10188, 1950, 4664, 543, 3232, 9620, 267, 891, 9089, 1683, 4313, 267, 17604, 267, 543, 15418, 585, 9118, 3988, 269, 5047, 267, 30425, 532, 3811, 12352, 4646, 9624, 2189, 6381, 26182, 4126, 543, 27277, 1851, 1346, 5275, 2648, 5103, 9583, 31837, 25236, 762, 12918, 780, 6962, 692, 306, 17532, 9977, 32741, 19582, 606, 1898, 13395, 1369, 4207, 5708, 267, 5356, 3638, 7148, 652, 1845, 540, 7553, 267, 6560, 267, 543, 25863, 10704, 1472, 23349, 1920, 3889, 269, 5548, 1324, 883, 4798, 540, 5539, 267, 1582, 22523, 267, 6043, 267, 543, 7067, 267, 4589, 4739, 9159, 8941, 602, 13469, 7184, 609, 2413, 9458, 269, 1306, 938, 2486, 5170, 8508, 4763, 543, 13857, 11269, 540, 1920, 6384, 267, 17266, 9977, 32741, 9153, 11972, 9029, 543, 7096, 1764, 593, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 18308, 281, 631, 294, 17659, 523, 454, 30475, 281, 1948, 668, 766, 267, 1948, 26211, 1650, 267, 1948, 4186, 3637, 454, 1432, 11524, 616, 454, 306, 11691, 827, 11146, 14576, 338, 912, 14881, 10150, 713, 454, 26211, 1650, 1360, 1454, 269, 898, 568, 6653, 543, 11509, 2507, 4634, 1498, 713, 454, 32143, 568, 2110, 519, 2278, 3576, 519, 942, 547, 1118, 1169, 3787, 540, 519, 454, 7120, 723, 2597, 543, 1871, 269, 634, 3007, 547, 1469, 267, 899, 519, 1259, 454, 32743, 2581, 476, 1182, 519, 7484, 31817, 267, 2306, 713, 1650, 1796, 856, 2507, 11146, 14576, 338, 454, 338, 902, 267, 543, 631, 14371, 269, 17659, 523, 814, 2944, 513, 5386, 2816, 609, 713, 28461, 1721, 12096, 523, 19664, 17352, 454, 27094, 14576, 338, 568, 513, 6653, 2110, 1650, 827, 513, 2034, 4960, 547, 454, 1633, 513, 6689, 24807, 269, 634, 1650, 729, 1434, 543, 519, 1603, 729, 454, 7922, 12578, 349, 18800, 518, 585, 634, 23620, 22456, 454, 1607, 568, 1776, 5386, 960, 676, 17659, 523, 602, 786, 4734, 596, 454, 10623, 9934, 13854, 269, 11146, 8964, 568, 513, 6653, 267, 4207, 2110, 1650, 454, 7474, 786, 17134, 656, 543, 10508, 922, 3988, 689, 1376, 547, 454, 1721, 634, 7043, 543, 10374, 540, 621, 454, 27094, 14576, 338, 20620, 1001, 271, 676, 631, 14371, 269, 17659, 523, 454, 20524, 824, 10643, 676, 631, 294, 17659, 523, 693, 3911, 1662, 6919, 2593, 912, 637, 5703, 269, 9453, 12145, 519, 2924, 896, 10677, 11603, 454, 629, 913, 267, 1100, 851, 540, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 17532, 9977, 7931, 1734, 257, 607, 851, 540, 834, 11227, 1315, 23620, 1315, 12634, 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, 589, 1906, 3275, 3516, 267, 594, 3357, 2066, 513, 2022, 593, 835, 540, 1250, 5172, 2228, 15473, 6998, 267, 834, 4692, 596, 1683, 606, 7650, 540, 519, 1699, 1533, 540, 23111, 4673, 781, 2067, 9249, 543, 8134, 8119, 1306, 513, 7350, 27423, 945, 14560, 4974, 2189, 2249, 543, 741, 5054, 267, 594, 729, 27278, 676, 519, 2243, 269, 1717, 267, 607, 606, 28048, 1246, 518, 540, 519, 8468, 267, 594, 6785, 602, 972, 1590, 581, 930, 3330, 24983, 3297, 519, 8966, 13214, 2094, 1412, 307, 600, 4673, 262, 3884, 1405, 3335, 1031, 547, 3277, 547, 1022, 1880, 7226, 610, 5117, 780, 18455, 851, 540, 519, 2146, 267, 594, 4956, 547, 1404, 2059, 269, 2991, 782, 267, 938, 2370, 562, 809, 540, 519, 4950, 29263, 593, 971, 28031, 5652, 15377, 256, 1924, 267, 594, 15527, 267, 5910, 2056, 547, 19955, 519, 7662, 267, 1603, 513, 1279, 2914, 14800, 3210, 10503, 19858, 8916, 543, 7068, 1336, 1369, 519, 14070, 7706, 540, 1412, 307, 600, 4673, 8339, 898, 7012, 1405, 2394, 2663, 602, 594, 4121, 519, 5168, 9789, 3312, 16968, 1185, 1044, 6158, 827, 741, 4620, 512, 5875, 3121, 3957, 23111, 4673, 256, 1358, 941, 8806, 5275, 5796, 593, 2870, 3617, 2713, 2175, 585, 1200, 269, 1284, 3838, 513, 1434, 14902, 936, 875, 2484, 1055, 3490, 1250, 2626, 1185, 1044, 282, 18562, 267, 789, 15874, 1250, 5876, 543, 9644, 780, 306, 3019, 2614, 267, 824, 3755, 3323, 4687, 16168, 2984, 827, 2053, 950, 789, 1932, 31495, 2181, 1540, 9708, 610, 2055, 1813, 547, 24813, 2236, 2084, 610, 3668, 540, 1697, 2796, 269, 2290, 3593, 22281, 539, 606, 10071, 1141, 646, 6170, 3108, 15388, 21372, 3140, 5013, 1152, 547, 8275, 602, 1010, 8284, 8468, 2818, 2877, 948, 7114, 1509, 324, 8100, 2864, 982, 4890, 1686, 4245, 269, 6271, 1268, 5143, 721, 827, 5134, 1136, 513, 6643, 8142, 4904, 609, 23199, 543, 12746, 625, 607, 19621, 14235, 543, 8694, 909, 13167, 513, 17890, 16472, 593, 5339, 2553, 3079, 269, 1452, 8941, 18056, 803, 602, 5103, 1373, 3059, 25165, 267, 649, 666, 1869, 588, 18443, 2390, 2792, 7496, 1256, 538, 5432, 5624, 780, 5978, 4901, 1287, 3576, 513, 14436, 2490, 2509, 14344, 519, 2956, 540, 3742, 6947, 543, 2312, 2792, 1107, 2523, 2228, 1141, 3159, 267, 1560, 1893, 267, 543, 11132, 7215, 5749, 1405, 11593, 2139, 10291, 269, 901, 3366, 547, 4030, 827, 6568, 543, 9639, 950, 15025, 609, 1866, 267, 7488, 952, 621, 781, 513, 13680, 5385, 610, 3978, 11407, 269, 769, 9759, 267, 2921, 513, 4090, 547, 5963, 1174, 1018, 1776, 1268, 1797, 2337, 6536, 6793, 4296, 543, 2057, 11991, 10539, 780, 1103, 3932, 267, 1247, 7620, 7138, 1194, 676, 519, 15116, 2243, 3823, 834, 307, 600, 4673, 781, 257, 2067, 9249, 267, 594, 4362, 513, 17175, 15529, 8559, 3056, 547, 993, 6748, 23278, 4925, 267, 24084, 2287, 18759, 267, 543, 3407, 1491, 25498, 827, 2500, 2792, 269, 11086, 267, 891, 4205, 6039, 607, 513, 12576, 602, 1169, 1631, 543, 1287, 267, 19480, 1394, 689, 938, 10054, 2636, 721, 547, 5660, 1312, 519, 21055, 543, 27461, 10096, 30443, 6362, 9944, 519, 2627, 540, 7391, 267, 5807, 23274, 1851, 21046, 8087, 676, 3838, 12137, 1127, 543, 2833, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 29205, 596, 1683, 606, 7650, 540, 519, 1699, 1533, 540, 23111, 4673, 781, 2067, 9249, 543, 8134, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 1569, 547, 909, 3562, 15082, 1344, 827, 23111, 4673, 781, 2067, 9249, 543, 8134, 269, 1717, 267, 23111, 4673, 568, 513, 1455, 2016, 2012, 543, 1510, 811, 2796, 267, 621, 568, 2352, 547, 3313, 799, 1747, 610, 3148, 596, 616, 13288, 547, 269, 2052, 596, 5225, 1683, 3606, 1344, 610, 16551, 9495, 692, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 7689, 476, 277, 281, 31786, 11150, 585, 1473, 3233, 19663, 630, 300, 15097, 4980, 10474, 2020, 8702, 1394, 267, 3039, 555, 29304, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 8654, 2994, 585, 11255, 3395, 267, 4481, 950, 14237, 17089, 2371, 269, 898, 1522, 3100, 899, 513, 2241, 4305, 910, 1175, 2490, 593, 930, 8279, 267, 1318, 286, 4270, 267, 972, 781, 2965, 811, 2257, 3297, 621, 982, 596, 1589, 256, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 780, 5575, 1919, 1101, 281, 1946, 798, 2371, 991, 1769, 286, 12518, 946, 7943, 547, 1711, 741, 1426, 998, 15591, 269, 901, 1184, 2636, 873, 547, 1332, 2178, 543, 2635, 269, 1717, 267, 950, 3395, 16280, 267, 2067, 7943, 3884, 1405, 2141, 2139, 267, 865, 649, 723, 547, 1265, 4244, 3435, 269, 2334, 781, 1141, 5841, 1332, 8279, 2097, 538, 2439, 2467, 616, 1896, 2010, 540, 1332, 8279, 602, 8597, 547, 1114, 2115, 269, 1284, 723, 1614, 1292, 6688, 281, 12071, 2803, 1417, 28691, 267, 4400, 268, 4504, 3748, 2598, 8408, 630, 295, 2839, 264, 28691, 267, 543, 10896, 22320, 28691, 269, 3962, 1826, 3091, 2189, 5383, 4470, 593, 2188, 971, 607, 1942, 267, 1648, 4398, 267, 3002, 2504, 267, 543, 8552, 1852, 780, 31880, 2803, 1417, 28691, 616, 1390, 585, 14987, 1813, 547, 741, 1970, 1942, 543, 8766, 3002, 3977, 269, 1358, 960, 1655, 585, 19155, 543, 804, 2158, 2094, 891, 5933, 2154, 1447, 7920, 1769, 269, 3281, 716, 12071, 2803, 30105, 630, 290, 14566, 338, 264, 543, 570, 276, 24638, 13740, 616, 1455, 5079, 1369, 713, 7121, 780, 9202, 909, 267, 1577, 781, 2911, 827, 4400, 268, 4504, 3748, 2598, 8408, 630, 295, 2839, 264, 28691, 269, 1452, 3983, 8695, 3640, 3833, 513, 24362, 609, 2362, 561, 18210, 17016, 3379, 547, 824, 3681, 269, 19045, 16199, 728, 630, 300, 295, 264, 22311, 12520, 16830, 4544, 880, 1769, 4998, 585, 3543, 894, 2208, 1247, 4400, 16242, 31406, 630, 295, 4916, 264, 22311, 3132, 15911, 26070, 1769, 3501, 585, 28480, 11775, 269, 5901, 538, 2247, 1498, 282, 670, 31312, 5352, 1713, 3002, 799, 949, 1289, 585, 3606, 9023, 1949, 780, 15563, 267, 938, 1007, 4819, 593, 519, 3625, 281, 10896, 22320, 28691, 269, 2060, 7760, 538, 2029, 267, 27178, 2709, 2407, 1606, 1051, 5300, 4188, 1464, 267, 2495, 596, 666, 21160, 1769, 10346, 1759, 593, 2030, 4170, 693, 1585, 2208, 5933, 269, 9578, 267, 789, 8532, 1447, 1379, 543, 3132, 3648, 1447, 3002, 982, 2757, 13413, 269, 1809, 3314, 267, 2298, 2501, 693, 513, 3902, 267, 1818, 873, 3622, 11720, 1512, 780, 3086, 267, 875, 798, 649, 21825, 2990, 891, 8279, 286, 7233, 4463, 4249, 513, 2629, 1909, 1934, 269, 1306, 513, 4341, 540, 14853, 267, 2226, 513, 5934, 3845, 540, 476, 1321, 6279, 1063, 519, 1283, 540, 519, 24588, 543, 519, 1769, 2707, 269, 18554, 2030, 3210, 5781, 543, 4188, 9935, 269, 1403, 3762 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3668, 540, 2551, 1344, 269, 476, 272, 269, 272, 269, 274, 634, 7521, 593, 9297, 543, 9265, 538, 513, 2428, 9917, 961, 476, 736, 476, 272, 269, 273, 7351, 1382, 593, 9265, 2530, 476, 2641, 476, 272, 269, 273, 269, 272, 26257, 9265, 1382, 543, 3631, 476, 2641, 476, 272, 269, 273, 269, 273, 26085, 10850, 543, 10526, 476, 2537, 476, 272, 269, 274, 13979, 476, 1839, 476, 273, 6034, 3123, 540, 9265, 2530, 476, 3066, 476, 273, 269, 272, 4985, 476, 3066, 476, 273, 269, 273, 8092, 14025, 1689, 476, 3451, 901, 814, 513, 5458, 1764, 593, 3425, 607, 972, 786, 3476, 581, 1426, 547, 3548, 267, 5777, 540, 21113, 786, 4473, 543, 519, 2560, 12833, 5297, 15661, 281, 12833, 5297, 2249, 616, 2048, 531, 1329, 685, 610, 2048, 1410, 5328, 685, 2249, 799, 616, 5189, 18417, 610, 2560, 21694, 476, 276, 269, 22353, 267, 649, 1331, 711, 1152, 7840, 585, 2417, 1353, 267, 855, 849, 7840, 585, 4058, 585, 2962, 1141, 1702, 568, 6190, 547, 1683, 2312, 5583, 269, 1703, 568, 7372, 14486, 689, 1480, 2534, 269, 901, 2689, 540, 476, 6245, 5359, 540, 1689, 538, 26868, 1858, 9060, 602, 519, 4080, 1279, 3856, 2530, 540, 2067, 19126, 25939, 1063, 476, 7918, 1700, 6872, 260, 855, 2530, 949, 723, 1044, 607, 1164, 607, 476, 9262, 260, 2094, 476, 10204, 271, 5084, 269, 23834, 302, 10292, 302, 5025, 638, 1738, 267, 513, 2518, 2203, 540, 1480, 1764, 593, 519, 9265, 540, 24654, 12748, 8134, 267, 1215, 1454, 26868, 814, 519, 1158, 4503, 286, 634, 10770, 2530, 540, 9265, 2306, 18495, 1995, 2804, 267, 1514, 543, 8733, 2152, 269, 634, 4139, 5742, 585, 519, 11094, 540, 7186, 630, 296, 30002, 264, 25221, 602, 1699, 14486, 3928, 616, 2907, 476, 1911, 268, 1911, 271, 3040, 13038, 320, 562, 6605, 8328, 2181, 521, 338, 999, 517, 14147, 872, 325, 521, 732, 14741, 562, 574, 1242, 2073, 810, 267, 3040, 13038, 10236, 4094, 9079, 26078, 647, 637, 593, 1278, 642, 340, 561, 1676, 762, 5117, 521, 269, 12603, 530, 1695, 337, 22385, 514, 28727, 2144, 560, 320, 684, 28727, 4614, 3768, 1008, 758, 656, 652, 324, 8210, 5287, 660, 23036, 568, 339, 267, 546, 817, 5800, 9110, 328, 2674, 4526, 2357, 332, 583, 28727, 803, 15590, 1488, 1084, 581, 342, 15786, 530, 6686, 6113, 523, 267, 620, 338, 513, 639, 3541, 646, 1393, 575, 7564, 978, 3394, 5975, 571, 19816, 31258, 933, 1047, 521, 4883, 341, 3326, 476, 619, 3832, 842, 269, 7909, 807, 267, 543, 547, 2087, 519, 11007, 540, 1239, 593, 1689, 538, 26868, 2127, 538, 3370, 4574, 543, 5359, 269, 634, 6167, 13482, 593, 18143, 16844, 630, 290, 9720, 264, 568, 2921, 6006, 540, 922, 4557, 4458, 21864, 4643, 267, 543, 5103, 930, 1883, 3356, 267, 1034, 540, 519, 589, 24734, 28080, 1115, 616, 3564, 3914, 267, 2523, 1346, 7282, 9940, 10256, 540, 9265, 2530, 269, 7201, 519, 476, 273, 661, 270, 5960, 312, 4282, 2557, 267, 519, 1297, 540, 2249, 602, 723, 8854, 17255, 538, 519, 2063, 2540, 1131, 723, 3144, 267, 4470, 593, 519, 9451, 24260, 3454, 517, 267, 1063, 476, 8517, 543, 476, 1015, 267, 1822, 1296, 547, 14897, 269, 3040, 28673, 320, 561, 917, 548, 546, 613, 267, 538, 18051, 725, 513, 26998, 1316, 545, 1965, 540, 967, 476, 4246, 267, 3040, 21954, 328, 2613, 640, 917, 548, 546, 613, 267, 555, 552, 1414, 16780, 552, 3490, 513, 26998, 10509, 562, 3098, 616, 267, 543, 2622, 11094, 16424, 10418, 269, 631, 14473, 700, 269, 23184, 7495, 630, 2419, 1515, 2006, 267, 2817, 3163, 8274, 1070, 18947, 21470, 5518, 267, 5303, 267, 20466, 4149, 793, 531, 267, 5549, 269, 8946, 6865, 3008, 645, 269, 898, 568, 2523, 4143, 585, 5726, 4058, 547, 2708, 2436, 519, 2804, 1871, 540, 5117, 2533, 568, 22883, 6053, 21412, 609, 9265, 269, 3040, 634, 5726, 4567, 540, 339, 554, 4680, 29347, 476, 625, 2865, 967, 17772, 710, 327, 607, 2041, 523, 269, 4083, 269, 2142, 574, 5004, 13153, 654, 1068, 335, 777, 328, 7967, 568, 339, 646, 1393, 5884, 8210, 5287, 660, 23036, 3541, 5800, 9110, 19708, 12929, 782, 613, 1889, 514, 606, 518, 16988, 660, 267, 546, 817, 521, 747, 538, 5800, 31987, 661, 4135, 337, 7564, 613, 1039, 328, 7967, 267, 20322, 1731, 523, 26523, 1122, 523, 4129, 604, 714, 328, 7967, 3768, 546, 817, 8937, 575, 17507, 698, 974, 5800, 31987, 554, 7564, 340, 14808, 513, 1276, 654, 1068, 335, 777, 328, 699, 6678, 531, 1084, 267, 5884, 1107, 5248, 328, 1068, 914, 571, 19816, 564, 1107, 562, 584, 530, 523, 580, 1140, 571, 19241, 643, 476, 619, 3832, 514, 523, 269, 769, 6207, 2474, 2825, 4747, 568, 5111, 2947, 2053, 2362, 538, 519, 5207, 4747, 30883, 850, 267, 3379, 547, 519, 1079, 9803, 30883, 3796, 269, 26085, 8060, 519, 2596, 3157, 899, 10250, 3766, 553, 267, 1216, 543, 8770, 9979, 267, 607, 1134, 607, 3037, 5250, 269, 3040, 13363, 539, 2127, 616, 6202, 4448, 543, 842, 324, 1989, 730, 20041, 519, 4204, 678, 269, 2311, 2199, 10253, 267, 621, 568, 2693, 602, 8134, 609, 3152, 9265, 616, 811, 11327, 543, 811, 7123, 998, 942, 269, 26335, 13809, 543, 32746, 7695, 476, 273, 269, 9265, 2530, 1107, 713, 3310, 568, 11573, 3042, 547, 5111, 2475, 259, 18597, 271, 5479, 630, 517, 1283, 540, 519, 2475, 259, 2420, 5479, 519, 594, 15598, 561, 1742, 1142, 1032, 264, 998, 17319, 946, 540, 13662, 277, 267, 1519, 476, 10695, 1129, 14898, 269, 26085, 13809, 543, 8092, 667, 18341, 566, 1323, 11137, 540, 519, 11038, 7698, 640, 26085, 13809, 4208, 26085, 13809, 25198, 476, 4510, 18265, 2475, 9489, 540, 2804, 1871, 6383, 1142, 1032, 568, 26815, 610, 3810, 8200, 593, 2470, 269, 272, 901, 568, 811, 982, 476, 2004, 829, 1298, 540, 2518, 12654, 269, 19126, 630, 528, 476, 2004, 260, 2094, 476, 5002, 271, 5084, 1040, 13229, 543, 6098, 5726, 2962, 3340, 2143, 1344, 827, 2249, 267, 741, 3892, 267, 1062, 18267, 543, 14498, 607, 1134, 607, 519, 3892, 540, 3463, 3157, 799, 1860, 873, 269, 1284, 1459, 519, 1101, 2479, 2518, 2079, 540, 14486, 1981, 538, 20641, 267, 1759, 593, 513, 4351, 11347, 3732, 540, 476, 5611, 271, 2249, 630, 1626, 260, 540, 782, 4867, 1634, 2249, 1040, 715, 9569, 3201, 13316, 21398, 19181, 1547, 1280, 1383, 267, 4824, 267, 538, 4180, 5726, 607, 1134, 607, 3327, 9113, 559, 1466, 544, 269, 6705, 538, 1656, 31137, 21423, 543, 4437, 9618, 630, 303, 6652, 611, 267, 23703, 328, 267, 681, 4660, 340, 267, 476, 5655, 260, 540, 519, 2249, 616, 2901, 12219, 610, 693, 267, 513, 3099, 540, 21049, 18508, 543, 21426, 855, 3068, 3586, 3463, 267, 1439, 12515, 267, 513, 3152, 8167, 540, 12219, 2249, 267, 4400, 9265, 19069, 2127, 941, 269, 1280, 1383, 267, 3165, 13632, 616, 546, 13388, 1782, 267, 4104, 2530, 568, 4611, 538, 519, 2530, 540, 1082, 2249, 267, 2244, 543, 824, 2200, 616, 1373, 3765, 4310, 267, 3056, 547, 1585, 1279, 2474, 3790, 269, 634, 25549, 2127, 538, 630, 321, 264, 5815, 2281, 609, 1981, 540, 2362, 2530, 538, 19113, 982, 476, 4817, 260, 4351, 281, 2362, 2530, 538, 4835, 7936, 3259, 630, 29368, 267, 2699, 1070, 2362, 2530, 538, 12363, 7936, 3259, 630, 307, 289, 267, 4544, 1070, 543, 513, 4999, 540, 1312, 630, 18872, 1040, 7457, 3621, 1702, 689, 9170, 269, 26085, 281, 12791, 543, 20970, 23446, 269, 634, 15437, 538, 630, 320, 264, 2099, 519, 6871, 540, 19113, 547, 581, 4503, 267, 689, 1970, 630, 19990, 264, 547, 1164, 630, 1042, 1040, 12989, 267, 649, 2689, 519, 3123, 267, 4539, 543, 2009, 3435, 269, 634, 4541, 781, 9265, 568, 896, 3463, 543, 519, 1292, 27521, 568, 519, 835, 945, 267, 19433, 1227, 267, 4096, 593, 621, 1034, 281, 1480, 1373, 269, 476, 278, 1070, 796, 701, 328, 3820, 270, 32474, 9113, 1545, 11305, 870, 787, 1606, 15471, 3613, 1559, 270, 2537, 268, 269, 634, 4611, 3448, 1611, 11606, 540, 3312, 2249, 568, 1031, 607, 13525, 585, 9265, 16856, 1145, 269, 26085, 538, 15195, 8134, 1107, 8933, 267, 12647, 543, 19126, 1107, 568, 18460, 4028, 2518, 7771, 269, 901, 1353, 2488, 513, 3730, 1448, 540, 6476, 609, 824, 2477, 602, 616, 693, 1114, 5933, 538, 519, 4305, 540, 7011, 1782, 9265, 1344, 269, 3683, 7721, 680, 334, 2787, 585, 20497, 1436, 476, 274, 269, 634, 2530, 540, 2249, 267, 9249, 543, 8134, 568, 267, 3040, 4985, 543, 324, 588, 28344, 618, 540, 8656, 1975, 516, 1203, 539, 269, 634, 10256, 4867, 3769, 616, 6952, 618, 2244, 946, 2242, 543, 8770, 15205, 7133, 1216, 2298, 267, 543, 3289, 25233, 19717, 543, 2916, 1689, 7133, 1216, 7274, 269, 2311, 519, 1482, 942, 267, 1883, 10256, 540, 9265, 2530, 2611, 610, 723, 2799, 267, 15558, 1154, 519, 2318, 3527, 547, 9258, 713, 269, 26085, 267, 476, 1708, 271, 568, 513, 24182, 1032, 585, 9265, 4027, 269, 6736, 3908, 942, 547, 4431, 267, 972, 568, 513, 2178, 8990, 547, 8011, 538, 10300, 1154, 9265, 2530, 267, 607, 1134, 607, 10300, 1154, 2518, 8337, 543, 8236, 4264, 1646, 269, 12833, 5297, 15661, 476, 275, 269, 6870, 1858, 1062, 538, 18475, 1705, 711, 18113, 2149, 2901, 11248, 531, 610, 8733, 4763, 269, 898, 849, 5540, 1480, 1072, 267, 1514, 1894, 267, 543, 5191, 540, 3903, 269, 8281, 519, 26085, 4967, 7300, 585, 594, 3008, 11929, 269, 9105, 1053, 547, 2253, 547, 8495, 3435, 602, 616, 1373, 6836, 1472, 519, 1158, 547, 2232, 519, 4161, 540, 9265, 543, 7226, 2530, 269, 634, 4057, 7048, 811, 8185, 593, 7449, 14571, 2472, 971, 607, 3574, 10173, 543, 3552, 3536, 267, 543, 593, 2472, 19122, 689, 2067, 2127, 824, 982, 7733, 269, 519, 3597, 3123, 540, 9265, 2530, 8734, 476, 1724, 267, 476, 1708, 271, 17397, 1635, 7439, 320, 21662, 5398, 7732, 570, 28692, 9517, 476, 279, 3607, 6924, 274, 322, 278, 6732, 7300, 661, 1504, 9210, 889, 7732, 543, 7226, 1689, 723, 1044, 1134, 6594, 855, 519, 14227, 2188, 1866, 3297, 891, 1463, 610, 9938, 1493, 3123, 540, 9265, 2530, 2560, 22910, 1948, 7704, 310, 4488, 3583, 269, 13809, 540, 26085, 281, 3794, 984, 958, 3194, 2982, 602, 1480, 2534, 666, 1291, 547, 8375, 2949, 2518, 5210, 267, 4929, 4262, 2157, 547, 4473, 267, 22260, 547, 15835, 267, 543, 2870, 7928, 543, 3665, 4365, 2621, 899, 24377, 267, 17160, 267, 543, 20016, 600, 529, 269, 12524, 5999, 476, 272, 269, 4014, 782, 8134, 616, 2111, 547, 3082, 547, 519, 17613, 2404, 609, 20214, 538, 9265, 547, 930, 4110, 267, 3267, 630, 14457, 1040, 2659, 960, 949, 581, 6462, 676, 19180, 610, 1820, 2326, 602, 30075, 543, 5659, 519, 1888, 543, 3390, 593, 2199, 543, 2518, 2157, 269, 15661, 16844, 966, 269, 23270, 16844, 17886, 269, 1924, 267, 621, 568, 827, 22406, 2338, 540, 1114, 2249, 267, 4719, 8390, 1063, 543, 2560, 1677, 3313, 519, 1871, 540, 519, 5117, 2533, 3177, 676, 891, 1079, 9265, 3638, 4609, 538, 674, 25702, 1519, 9265, 5726, 267, 3327, 4859, 543, 3524, 652, 1674, 267, 9235, 267, 3092, 269, 18430, 539, 267, 476, 272, 269, 16258, 5013, 1635, 476, 1708, 276, 267, 3368, 540, 519, 1158, 779, 2551, 786, 581, 2713, 538, 1216, 3613, 5962, 2127, 269, 772, 332, 5884, 16170, 324, 583, 2426, 3541, 21954, 1392, 28059, 14193, 325, 30349, 2763, 3394, 267, 530, 2273, 646, 1393, 538, 654, 1170, 839, 577, 10762, 3768, 16217, 343, 529, 803, 626, 3541, 654, 1068, 32489, 29992, 1676, 1488, 1084, 522, 1457, 3331, 500, 330, 4722, 324, 1655, 9404, 339, 269, 19739, 7495, 4353, 8991, 14510, 267, 667, 9128, 2562, 296, 3582, 5508, 27950, 681, 269, 4210, 532, 1633, 634, 20736, 22641, 4659, 540, 11094, 543, 17905, 594, 269, 3367, 827, 26085, 11094, 267, 519, 2956, 540, 26085, 267, 13809, 540, 26085, 267, 543, 811, 269, 634, 9072, 616, 10483, 676, 2143, 3527, 585, 519, 3864, 8189, 630, 4488, 264, 543, 519, 9167, 16588, 2276, 630, 5960, 1040, 3040, 13363, 539, 2127, 616, 1030, 535, 624, 1947, 543, 3225, 19935, 812, 698, 1196, 269, 26085, 13726, 1115, 267, 952, 1134, 2966, 543, 8045, 267, 568, 835, 3609, 6293, 602, 666, 948, 11574, 891, 3466, 269, 7300, 1923, 2201, 5463, 476, 272, 267, 476, 1001, 277, 267, 623, 807, 590, 996, 328, 543, 1866, 3370, 13809, 540, 26085, 1923, 4855, 267, 1224, 543, 13712, 782, 519, 1382, 596, 991, 593, 3194, 294, 622, 2961, 11538, 856, 2146, 29374, 8733, 10526, 540, 891, 16671, 2026, 1519, 555, 267, 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, 570, 570, 570, 267, 2059, 519, 18843, 2306, 909, 513, 5444, 267, 1142, 1895, 540, 1614, 4564, 519, 3009, 585, 835, 540, 8938, 11254, 7408, 267, 799, 538, 1813, 1576, 3029, 851, 540, 513, 3940, 11140, 267, 799, 2488, 519, 2497, 540, 2281, 543, 8031, 269, 3962, 1895, 540, 1614, 568, 513, 13798, 517, 269, 1703, 616, 476, 5038, 1634, 13798, 976, 267, 609, 476, 274, 3247, 610, 20060, 1619, 13798, 976, 16287, 519, 1439, 540, 519, 5311, 269, 898, 568, 6059, 602, 476, 274, 5479, 3490, 8424, 540, 589, 570, 595, 717, 1118, 909, 519, 1480, 11646, 267, 1447, 982, 476, 276, 260, 1373, 6090, 267, 519, 1599, 540, 519, 1964, 568, 711, 1634, 693, 1459, 269, 3962, 1367, 814, 513, 1114, 11460, 540, 891, 5022, 538, 741, 4719, 3009, 267, 3976, 621, 568, 1360, 12691, 602, 1079, 3425, 610, 7103, 786, 581, 4010, 9838, 269, 634, 3483, 540, 811, 982, 476, 1789, 267, 1822, 6090, 814, 865, 2484, 1044, 3964, 563, 10376, 1591, 538, 519, 1480, 1560, 3568, 1079, 2347, 5036, 540, 476, 2420, 22921, 15954, 7132, 2473, 543, 962, 267, 1818, 476, 5379, 538, 2698, 269, 634, 11460, 540, 519, 15954, 538, 513, 1591, 568, 1572, 513, 737, 541, 9189, 269, 634, 4102, 15694, 568, 1297, 476, 272, 543, 519, 10545, 568, 1297, 476, 2420, 267, 7132, 3023, 15954, 2473, 543, 962, 267, 8951, 2348, 1079, 2473, 543, 9038, 2473, 543, 962, 269, 769, 519, 8047, 3043, 1973, 2281, 616, 3622, 1031, 547, 1353, 15954, 267, 799, 616, 9674, 1210, 11476, 269, 1879, 26911, 789, 616, 2938, 547, 723, 513, 22765, 899, 6512, 693, 519, 8998, 267, 1572, 513, 1298, 668, 699, 267, 543, 10058, 3109, 543, 3043, 13164, 6029, 519, 1114, 5666, 540, 13279, 589, 543, 570, 3379, 609, 13279, 717, 543, 595, 538, 1142, 543, 865, 789, 666, 581, 4857, 269, 26537, 22199, 616, 5258, 693, 519, 1298, 668, 699, 883, 513, 1279, 543, 2110, 6186, 267, 519, 2110, 6186, 1373, 1572, 4620, 527, 610, 533, 543, 519, 1279, 6186, 1373, 1572, 7117, 269, 634, 4525, 593, 519, 15694, 616, 22921, 689, 519, 1298, 668, 699, 585, 8446, 5301, 269, 3204, 687, 616, 4481, 22921, 909, 610, 1524, 689, 519, 1298, 668, 699, 267, 865, 513, 1808, 851, 540, 513, 15694, 666, 581, 22942, 539, 1210, 513, 3009, 563, 13312, 8183, 3901, 673, 1383, 540, 513, 6292, 540, 15954, 454, 2690, 1383, 281, 589, 4775, 609, 606, 25983, 1275, 593, 519, 1279, 6186, 540, 15694, 476, 280, 1131, 581, 2854, 607, 30619, 280, 336, 1321, 269, 272, 454, 18958, 4564, 4775, 454, 280, 568, 519, 15694, 1297, 454, 336, 568, 519, 1279, 6186, 454, 1321, 269, 272, 568, 519, 3148, 454, 8489, 553, 513, 5256, 609, 519, 1482, 25983, 1275, 1131, 581, 2854, 607, 2473, 312, 280, 336, 1321, 269, 272, 607, 2473, 312, 4564, 5256, 563, 311, 312, 4564, 5256, 454, 280, 568, 519, 15694, 1297, 454, 336, 568, 519, 1279, 6186, 454, 1321, 269, 272, 568, 519, 3148, 454, 2252, 513, 5444, 568, 7508, 689, 519, 2110, 6186, 540, 15694, 476, 277, 267, 621, 1131, 581, 4857, 607, 476, 277, 335, 268, 563, 277, 568, 519, 15694, 1297, 454, 335, 568, 519, 2110, 6186, 454, 268, 1797, 513, 5444, 568, 7508, 454, 10376, 15694, 814, 513, 1880, 5311, 540, 6090, 269, 769, 3425, 15694, 1297, 476, 1556, 814, 476, 20385, 274, 6090, 267, 609, 476, 16328, 267, 7818, 267, 4281, 275, 13279, 269, 26537, 25593, 1297, 476, 2420, 814, 476, 25971, 6090, 267, 609, 476, 5392, 267, 5325, 277, 267, 280, 7761, 13279, 563, 17843, 2249, 723, 513, 1114, 1297, 540, 15954, 563, 1475, 14549, 910, 476, 5379, 454, 26180, 8816, 8038, 910, 476, 279, 454, 1475, 293, 1716, 910, 4114, 269, 476, 6344, 271, 454, 1475, 291, 690, 910, 476, 4281, 454, 347, 24618, 11988, 910, 476, 3607, 454, 1475, 2419, 1157, 523, 910, 476, 4281, 454, 1475, 10111, 335, 910, 476, 10441, 454, 763, 10285, 2281, 267, 519, 4212, 543, 519, 14203, 267, 1142, 2270, 1152, 476, 2537, 2582, 15954, 267, 4646, 676, 519, 1184, 540, 32450, 269, 4438, 12093, 891, 6443, 1927, 547, 1106, 513, 1007, 1591, 609, 835, 1305, 540, 15954, 689, 1142, 2385, 269, 769, 713, 1259, 267, 1142, 15556, 814, 4162, 689, 1142, 2385, 267, 855, 568, 711, 9838, 547, 2901, 269, 634, 5027, 538, 713, 1591, 1287, 10943, 1080, 543, 18187, 919, 6634, 540, 2053, 676, 519, 1184, 540, 5378, 2670, 2394, 513, 14323, 1007, 15556, 568, 4646, 269, 2290, 1480, 15694, 3568, 476, 5611, 1535, 476, 11793, 30859, 8424, 543, 891, 616, 23652, 693, 476, 2004, 3490, 8424, 829, 2034, 269, 1234, 6473, 666, 2049, 693, 1896, 2798, 593, 519, 15694, 267, 3976, 519, 2898, 1184, 3217, 827, 835, 5662, 269, 1403, 18643, 3576, 1747, 693, 1152, 835, 1448, 621, 1131, 1491, 513, 3923, 563, 6124, 22951, 1938, 616, 7683, 1373, 1500, 1369, 519, 1591, 13540, 269, 4438, 18643, 519, 18843, 10943, 1080, 693, 1896, 4025, 1141, 519, 717, 595, 8424, 616, 4617, 652, 4448, 676, 1079, 7250, 7554, 269, 1879, 513, 1591, 568, 4712, 547, 7941, 519, 11747, 5027, 21484, 848, 2150, 342, 1235, 519, 927, 1460, 547, 1106, 513, 962, 3337, 267, 1572, 513, 18643, 23643, 269, 634, 11747, 5027, 29920, 12599, 689, 519, 6443, 540, 519, 18643, 23643, 1524, 519, 3056, 18843, 538, 519, 476, 274, 262, 547, 476, 276, 262, 4287, 267, 2542, 519, 30859, 5311, 269, 1677, 2226, 519, 25316, 541, 5537, 1106, 540, 519, 5027, 267, 609, 513, 19552, 693, 519, 476, 276, 262, 1439, 267, 519, 5027, 29920, 1287, 1140, 2851, 1007, 267, 7222, 22951, 1938, 547, 519, 3056, 18843, 538, 519, 476, 276, 262, 547, 476, 274, 262, 4287, 269, 1715, 22951, 1938, 3112, 581, 7923, 693, 519, 476, 274, 262, 1439, 540, 519, 2034, 610, 18848, 3101, 18843, 267, 607, 713, 1131, 13347, 519, 25316, 541, 5537, 1106, 6028, 513, 19552, 693, 519, 4636, 1439, 540, 519, 18843, 269, 590, 30708, 540, 5027, 1572, 21411, 1794, 13403, 15998, 616, 4061, 1500, 538, 519, 13540, 540, 519, 1591, 547, 8396, 713, 269, 1879, 1279, 2614, 6810, 723, 1044, 1500, 789, 1831, 7923, 547, 1142, 824, 543, 547, 519, 18848, 3101, 18843, 538, 519, 476, 276, 262, 547, 476, 274, 262, 4287, 676, 519, 11747, 5027, 14270, 848, 269, 5565, 1007, 22204, 540, 5027, 723, 1631, 1044, 19632, 563, 13312, 8183, 3901, 673, 1383, 540, 18643, 454, 300, 527, 2670, 568, 519, 1184, 676, 799, 1034, 2281, 538, 519, 1480, 1560, 616, 556, 6088, 269, 4438, 18643, 513, 26134, 568, 1500, 585, 1142, 15694, 267, 30945, 519, 1297, 538, 519, 1591, 547, 476, 10844, 267, 865, 789, 1831, 2473, 8032, 676, 11836, 693, 519, 3844, 22765, 899, 1858, 1572, 519, 1298, 668, 699, 269, 901, 568, 7923, 547, 2890, 30344, 2737, 799, 267, 1282, 1591, 6498, 267, 7485, 519, 15954, 547, 6587, 7475, 540, 519, 1591, 269, 634, 1591, 17337, 538, 519, 1647, 2348, 2813, 1079, 9838, 8250, 2281, 1142, 609, 476, 5379, 15954, 563, 13312, 8183, 3901, 673, 1383, 540, 5378, 2670, 454, 9288, 22719, 568, 519, 1184, 540, 18643, 676, 799, 4212, 2281, 616, 3812, 538, 519, 4775, 30124, 543, 14203, 2281, 616, 3812, 538, 519, 5256, 1449, 525, 269, 901, 3322, 1079, 5036, 540, 1591, 6498, 269, 634, 1101, 851, 540, 519, 1184, 568, 2147, 547, 5378, 2670, 607, 6565, 2281, 3132, 1079, 9838, 2281, 267, 1142, 609, 476, 5379, 15954, 269, 1717, 267, 930, 540, 891, 1287, 8237, 1586, 267, 1510, 18187, 908, 519, 15954, 267, 4611, 538, 2185, 2281, 1142, 609, 1152, 476, 2537, 15954, 269, 4438, 32450, 519, 15954, 31832, 20108, 7466, 547, 3132, 1114, 5444, 10659, 538, 1142, 4212, 610, 14203, 543, 713, 1184, 3217, 1614, 4374, 547, 2347, 269, 769, 1480, 9038, 476, 1220, 267, 1822, 267, 1822, 14203, 616, 1500, 1142, 1554, 267, 855, 538, 8951, 1152, 835, 14323, 9065, 636, 568, 1500, 1142, 3923, 563, 13312, 8183, 3901, 673, 1383, 540, 32450, 454, 9827, 538, 519, 13540, 540, 519, 1591, 568, 519, 3114, 10717, 630, 305, 756, 31265, 545, 3679, 264, 7768, 540, 20722, 710, 267, 1368, 29516, 267, 579, 2350, 559, 543, 11118, 27343, 269, 10717, 568, 5258, 883, 1896, 5049, 267, 1142, 2348, 513, 1114, 1599, 1369, 519, 1591, 269, 4438, 519, 1818, 540, 513, 3940, 513, 1770, 540, 1614, 27573, 13279, 593, 519, 5027, 7938, 785, 338, 543, 10596, 519, 3009, 593, 547, 513, 28034, 11140, 540, 10717, 269, 2961, 11538, 519, 23652, 3009, 713, 1287, 7575, 856, 540, 519, 13540, 883, 519, 32594, 540, 519, 1591, 1141, 1775, 512, 568, 23652, 883, 606, 11254, 3679, 543, 713, 26082, 609, 811, 11254, 7408, 547, 1106, 513, 3940, 563, 3682, 974, 1231, 616, 22169, 799, 666, 581, 7768, 540, 909, 547, 476, 736, 1114, 11254, 7408, 269, 1452, 616, 11231, 538, 513, 5569, 2059, 519, 3940, 543, 666, 581, 538, 513, 1950, 4806, 269, 634, 5311, 540, 519, 11254, 7408, 543, 519, 1599, 540, 519, 3940, 568, 5462, 676, 519, 4719, 3009, 269, 1703, 616, 1082, 1114, 2010, 540, 3940, 7900, 4247, 971, 607, 912, 1805, 4392, 267, 3560, 267, 17441, 267, 13805, 267, 4579, 633, 267, 17872, 267, 679, 9195, 1738, 563, 13295, 649, 1294, 602, 782, 7103, 616, 1500, 909, 540, 1082, 6464, 799, 267, 950, 22555, 267, 723, 1808, 2081, 540, 2324, 1927, 267, 607, 538, 5027, 269, 1452, 6464, 3357, 689, 519, 2215, 867, 658, 2220, 10102, 543, 616, 7683, 9687, 269, 1548, 3116, 568, 972, 547, 3605, 286, 9736, 10648, 295, 22601, 454, 2171, 4126, 602, 713, 1344, 814, 1044, 3730, 547, 596, 563, 2414, 2132, 547, 606, 4994, 4945, 922, 7735, 2630, 610, 519, 11058, 693, 519, 1283, 540, 519, 2985, 269, 0, 3891, 729, 1360, 3742, 538, 5009, 32066, 10304, 543, 8197, 899, 513, 32066, 269, 634, 590, 984, 1941, 1195, 324, 772, 5979, 345, 1156, 773, 5189, 606, 1930, 25804, 3406, 585, 1346, 593, 519, 2196, 267, 2495, 602, 782, 540, 519, 27998, 945, 1185, 19679, 689, 741, 18544, 1310, 519, 14829, 540, 476, 14341, 277, 610, 476, 13932, 277, 1765, 13932, 278, 1185, 547, 581, 8120, 269, 1323, 1383, 540, 713, 1223, 581, 3254, 538, 519, 2486, 540, 519, 27859, 269, 8092, 1652, 4600, 1185, 547, 2307, 10479, 547, 4734, 606, 10040, 269, 5047, 267, 519, 1453, 4535, 547, 513, 1583, 325, 15110, 519, 4567, 540, 519, 2385, 267, 543, 941, 2808, 4535, 883, 1583, 325, 3256, 693, 4332, 269, 4317, 5238, 2147, 547, 1583, 325, 3256, 941, 1634, 538, 269, 1733, 6235, 729, 513, 1455, 10751, 585, 563, 763, 14082, 21257, 1419, 2366, 17864, 543, 8387, 547, 519, 1715, 2622, 547, 4163, 856, 519, 2229, 972, 269, 1411, 616, 2953, 1498, 538, 6031, 519, 538, 519, 476, 866, 628, 595, 269, 21661, 519, 19300, 4673, 267, 998, 519, 4414, 7256, 267, 689, 519, 4095, 7909, 16788, 543, 2066, 519, 9533, 269, 1452, 522, 23411, 3808, 519, 18459, 543, 1010, 1007, 1583, 325, 538, 513, 32540, 4579, 543, 3989, 519, 2474, 540, 741, 6876, 269, 898, 781, 8037, 602, 950, 8474, 729, 1869, 1455, 267, 519, 27998, 941, 1454, 811, 1863, 982, 2663, 563, 2414, 2226, 741, 23693, 519, 28753, 531, 12075, 543, 519, 14082, 941, 1360, 1114, 269, 5395, 325, 3256, 729, 8915, 569, 711, 2324, 269, 9050, 2395, 829, 3018, 829, 7622, 538, 519, 476, 1704, 628, 2540, 269, 1230, 2784, 267, 634, 9552, 540, 19384, 8474, 267, 476, 6977, 271, 1765, 6642, 279, 476, 3192, 273, 533, 269, 9181, 519, 2101, 10486, 543, 3604, 1063, 8474, 538, 519, 5643, 545, 553, 543, 678, 11701, 1583, 325, 3256, 4438, 27245, 4341, 267, 6739, 27998, 941, 1863, 6705, 609, 513, 3656, 2990, 9120, 547, 1583, 12028, 540, 519, 19744, 5736, 269, 769, 12821, 2317, 267, 681, 2378, 6130, 282, 700, 4673, 267, 6742, 27713, 269, 634, 1500, 8275, 602, 6576, 729, 1100, 3476, 513, 1390, 4108, 1379, 563, 13563, 10437, 676, 4334, 1185, 2484, 7864, 3255, 547, 7118, 741, 1378, 13848, 267, 941, 5110, 589, 2731, 3730, 13354, 1686, 540, 8474, 543, 1583, 325, 3256, 269, 932, 7865, 3122, 281, 31550, 14986, 21101, 13456, 269, 901, 3357, 856, 540, 519, 21654, 267, 543, 1312, 3310, 519, 22638, 1863, 532, 540, 1312, 269, 1717, 519, 1875, 268, 22146, 666, 1869, 581, 20665, 269, 594, 1589, 602, 781, 1018, 596, 5921, 269, 26681, 596, 267, 6862, 519, 1071, 539, 6002, 596, 3838, 621, 609, 786 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 713, 1184, 910, 519, 1909, 540, 6932, 3401, 538, 5026, 2359, 780, 5575, 267, 1577, 781, 2736, 1524, 1018, 834, 655, 1120, 532, 3401, 257, 1797, 269, 1452, 616, 1004, 945, 1397, 1390, 1761, 547, 1831, 2104, 3401, 538, 741, 2361, 269, 1358, 723, 6612, 267, 1983, 267, 543, 11428, 602, 5036, 873, 6306, 269, 1879, 621, 2501, 547, 5026, 2359, 267, 891, 6932, 3401, 960, 5702, 609, 9945, 899, 5204, 2350, 2224, 2160, 547, 3391, 543, 1489, 519, 1985, 5108, 540, 5026, 9946, 780, 3086, 267, 596, 1522, 2307, 267, 1018, 1281, 513, 5026, 9614, 1256, 798, 286, 589, 5026, 9614, 814, 1082, 9021, 267, 855, 930, 1455, 4247, 1331, 1384, 272, 269, 853, 11691, 5483, 827, 519, 5767, 3466, 538, 519, 5026, 2872, 454, 273, 269, 29955, 1265, 3255, 585, 1483, 8996, 1995, 998, 22631, 4721, 267, 1316, 545, 4548, 267, 543, 824, 3785, 454, 274, 269, 19457, 741, 6791, 543, 2833, 547, 948, 1866, 1451, 454, 275, 269, 26472, 519, 1871, 543, 2956, 540, 2069, 1369, 741, 2950, 692, 4131, 781, 4685, 4514, 883, 1142, 5539, 1210, 1187, 1806, 2439, 1262, 1805, 11691, 769, 11526, 6168, 12367, 4373, 5331, 596, 2648, 4730, 3381, 3756, 8013, 569, 269, 1411, 1246, 782, 519, 1283, 32266, 267, 4585, 2661, 12535, 267, 543, 7119, 538, 2228, 4663, 23788, 269, 3767, 4952, 952, 2576, 4280, 596, 799, 3014, 729, 2469, 547, 581, 2442, 1985, 1032, 610, 1018, 1007, 2029, 1131, 1689, 11080, 11014, 269, 1677, 2626, 1346, 2055, 8308, 267, 596, 991, 547, 3251, 8242, 593, 3377, 267, 10124, 267, 543, 2242, 8345, 538, 519, 11080, 1158, 780, 1103, 5026, 2359, 267, 621, 1568, 13974, 269, 24021, 3401, 7683, 1413, 856, 585, 10593, 543, 7760, 538, 2127, 971, 607, 19002, 2866, 2553, 267, 10178, 6278, 2994, 267, 1514, 2923, 5867, 267, 610, 30806, 4066, 269, 1635, 3257, 865, 267, 789, 2327, 1312, 2933, 543, 14971, 5026, 9946, 2611, 4143, 543, 5499, 780, 1262, 13900, 4771, 4855, 19662, 4373, 13914, 1394, 547, 950, 596, 1101, 8678, 513, 5026, 2319, 693, 1153, 269, 1215, 1705, 596, 1745, 950, 596, 20639, 707, 1101, 3804, 610, 4465, 707, 1101, 6474, 286, 29055, 267, 1318, 286, 2334, 10761, 9327, 1405, 581, 2009, 1510, 19393, 267, 30157, 267, 543, 25696, 4543, 1711, 1346, 12300, 8090, 269, 8528, 20118, 267, 5026, 9946, 1404, 513, 1713, 1909, 538, 5935, 519, 11678, 540, 9845, 543, 8284, 4648, 676, 25786, 3407, 1565, 2833, 269, 1280, 3236, 267, 8220, 1053, 609, 22631, 4721, 2636, 873, 547, 4019, 4928, 4245, 18374, 1247, 2679, 4296, 538, 519, 2872, 269, 1306, 606, 6932, 6205, 267, 13057, 1053, 2509, 5078, 3255, 666, 3648, 1764, 741, 2208, 543, 1967, 780, 1262, 4537, 2130, 16869, 1047, 1299, 23800, 4373, 22428, 596, 4362, 513, 9735, 1433, 3126, 602, 1500, 2542, 811, 11791, 982, 2479, 1354, 269, 14348, 333, 1405, 596, 1616, 547, 2671, 621, 609, 2828, 865, 789, 1932, 1223, 2972, 519, 2984, 2496, 28770, 3101, 3401, 538, 5026, 2359, 849, 3494, 538, 4687, 741, 1378, 15322, 543, 4030, 6591, 2059, 519, 1259, 269, 6787, 9306, 15872, 267, 16475, 11925, 267, 610, 29013, 2043, 267, 891, 4810, 4648, 1683, 6667, 543, 4052, 5796, 1759, 593, 2123, 10781, 543, 2591, 5185, 1282, 741, 4876, 780, 1262, 23220, 7627, 4065, 10738, 18877, 4373, 7661, 267, 1589, 827, 3610, 267, 3237, 267, 543, 12543, 945, 5000, 15400, 1565, 269, 4256, 3646, 18663, 721, 547, 16111, 4228, 938, 20030, 543, 1332, 6457, 1302, 780, 10387, 6819, 713, 2623, 267, 6932, 3401, 12167, 585, 2362, 2069, 538, 5026, 2359, 3292, 269, 1358, 11168, 922, 4644, 1317, 1134, 268, 14445, 730, 4648, 3565, 9797, 547, 519, 2949, 1646, 540, 519, 5026, 5823, 269, 3958, 267, 10825, 4656, 827, 519, 2640, 540, 13197, 2298, 2069, 11942, 7279, 1851, 7820, 5481, 543, 26182, 873, 547, 11654, 2147, 10092, 780, 2414, 2040, 909, 267, 6932, 3401, 538, 5026, 2359, 4196, 607, 1898, 22225, 5885, 519, 2208, 543, 4720, 540, 519, 5026, 2872, 269, 3414, 3466, 23293, 267, 4316, 5137, 267, 5578, 4687, 267, 543, 3872, 13319, 267, 789, 17362, 519, 1259, 585, 14971, 5026, 9946, 547, 8011, 538, 713, 6422, 2361, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 5204, 2350, 2224, 2160, 24021, 24285, 7027, 630, 5085, 290, 264, 6818, 607, 513, 4295, 1895, 540, 519, 22505, 5004, 4972, 779, 1034, 8149, 543, 9565, 1762, 620, 30282, 602, 616, 5059, 593, 3246, 5583, 538, 1585, 2081, 547, 1699, 22505, 5004, 267, 22505, 24630, 267, 543, 22505, 10469, 826, 543, 7926, 5004, 1053, 269, 901, 5583, 2882, 9363, 538, 19820, 609, 519, 3466, 540, 519, 7328, 2872, 282, 21528, 609, 1698, 7723, 267, 1316, 32337, 267, 543, 22631, 1222, 1747, 906, 282, 543, 1373, 2178, 15156, 585, 519, 4081, 1982, 538, 741, 2146, 563, 763, 5692, 540, 519, 24021, 24285, 7027, 568, 547, 18973, 674, 1779, 5441, 4972, 540, 22505, 5004, 1053, 538, 14966, 609, 12200, 543, 5234, 267, 519, 10615, 540, 1325, 30282, 543, 15638, 267, 519, 19608, 25760, 585, 21992, 618, 267, 543, 519, 25760, 540, 674, 1779, 5441, 538, 18129, 547, 2417, 519, 7580, 6859, 540, 519, 2852, 269, 634, 14643, 568, 547, 4217, 609, 7041, 540, 519, 1985, 5108, 540, 22505, 5004, 620, 30282, 267, 547, 16491, 873, 609, 519, 2645, 2556, 547, 581, 3811, 4648, 563, 268, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 288, 9490, 13442, 3957, 7705, 1185, 1175, 8452, 593, 513, 1007, 4541, 1572, 3047, 269, 2701, 729, 9599, 547, 2263, 713, 1007, 1158, 267, 855, 1352, 3533, 7691, 602, 3425, 941, 1114, 689, 1200, 2186, 269, 1358, 6410, 8335, 267, 12038, 8335, 267, 543, 2170, 539, 609, 1142, 824, 538, 2081, 1352, 7948, 1405, 1174, 780, 3080, 1554, 267, 1247, 29595, 998, 513, 1507, 4884, 538, 519, 10239, 267, 7705, 16686, 2390, 513, 11018, 540, 3425, 945, 8604, 547, 581, 11981, 2933, 269, 1703, 941, 10477, 512, 757, 1305, 909, 10876, 267, 543, 1004, 21039, 538, 782, 12204, 540, 24853, 15336, 1472, 267, 28617, 543, 22551, 532, 269, 30985, 267, 7705, 4956, 547, 8495, 2417, 780, 2026, 1352, 14059, 835, 540, 519, 512, 757, 267, 513, 1895, 540, 3425, 14376, 1200, 3330, 269, 634, 17895, 729, 4158, 543, 16081, 6244, 267, 855, 972, 941, 1166, 4770, 8279, 543, 10978, 2575, 4730, 269, 22582, 267, 513, 19619, 540, 3425, 9849, 13968, 3357, 856, 267, 530, 3058, 741, 7916, 3552, 569, 607, 789, 546, 2331, 1472, 1200, 269, 3399, 1194, 267, 7705, 29860, 1394, 267, 18516, 540, 1018, 729, 8345, 780, 257, 10673, 1405, 581, 12922, 2437, 1767, 835, 540, 519, 3425, 269, 834, 2171, 2811, 1934, 547, 7038, 596, 256, 901, 568, 938, 1286, 333, 2526, 3010, 8334, 6743, 1472, 267, 3843, 547, 1118, 2631, 540, 3388, 269, 2701, 4718, 9490, 6191, 602, 838, 684, 543, 27390, 267, 18530, 3425, 883, 519, 2011, 269, 2701, 4862, 3458, 4461, 4947, 689, 1776, 851, 540, 519, 1286, 333, 2526, 267, 4553, 676, 552, 24809, 17409, 780, 30948, 616, 1346, 1919, 8119, 4280, 7705, 267, 15738, 547, 519, 18343, 6191, 780, 257, 17829, 616, 26055, 10590, 14452, 519, 1480, 269, 834, 5445, 8095, 543, 6335, 543, 2490, 267, 4758, 596, 513, 26497, 899, 4986, 3116, 3010, 10501, 1190, 267, 7705, 6172, 5523, 5196, 835, 540, 519, 26055, 269, 898, 3323, 3001, 7444, 693, 1101, 267, 1287, 13603, 909, 3432, 2394, 1352, 5433, 899, 1352, 1522, 8038, 1055, 269, 1809, 3079, 267, 1352, 561, 13774, 1117, 543, 3458, 3139, 7258, 519, 824, 3425, 267, 4743, 17938, 1791, 730, 543, 9800, 780, 5475, 1189, 267, 7705, 8268, 930, 540, 519, 824, 512, 757, 269, 2290, 729, 4904, 609, 3756, 267, 1141, 3425, 6836, 547, 3094, 28077, 2831, 676, 19184, 532, 14034, 936, 14569, 610, 15246, 9072, 269, 6271, 17895, 12286, 513, 3942, 267, 1141, 3425, 2322, 593, 2982, 5473, 9059, 15361, 543, 2192, 16272, 780, 3719, 519, 1034, 10578, 17895, 540, 782, 729, 13042, 834, 295, 528, 2928, 5600, 1701, 1306, 7705, 22283, 3330, 267, 1352, 5612, 8068, 1945, 729, 1114, 269, 634, 4055, 729, 27452, 1396, 267, 609, 25865, 933, 2125, 16304, 689, 519, 18109, 543, 9490, 7068, 30443, 6362, 538, 519, 20224, 780, 306, 19488, 267, 513, 1688, 6603, 856, 543, 10544, 5523, 7705, 781, 6186, 269, 2701, 586, 601, 6244, 538, 9983, 267, 1152, 547, 8275, 602, 621, 729, 1175, 1776, 1480, 538, 28076, 269, 8625, 267, 789, 5887, 3293, 4514, 883, 519, 3520, 5558, 32261, 873, 780, 4263, 1169, 2490, 267, 7705, 11402, 32049, 24738, 910, 7729, 30416, 8375, 689, 30401, 267, 15293, 569, 15457, 1431, 13735, 538, 4571, 1515, 267, 1256, 513, 9649, 17178, 17875, 1782, 4724, 1200, 269, 3962, 942, 267, 1352, 695, 686, 2131, 539, 543, 804, 2426, 547, 519, 14282, 1480, 585, 4313, 780, 7661, 267, 1310, 1018, 5433, 899, 3108, 540, 1373, 18901, 3368, 547, 2669, 267, 7705, 7153, 689, 519, 9710, 2928, 5600, 267, 533, 13589, 543, 1726, 3387, 1782, 269, 1677, 1200, 993, 10270, 618, 267, 1352, 1336, 9887, 1989, 15619, 1274, 547, 1274, 269, 6736, 875, 17512, 1881, 1352, 1185, 1044, 267, 1352, 7948, 1405, 20912, 602, 1352, 1185, 10150, 1169, 4090, 780, 5804, 602, 1554, 4464, 267, 7705, 2968, 513, 2834, 7390, 2465, 540, 891, 9490, 19771, 269, 2701, 4121, 811, 827, 1480, 2528, 267, 1500, 1007, 2828, 267, 543, 4810, 1312, 4250, 543, 7772, 899, 2760, 1354, 269, 1656, 4352, 1352, 1869, 4769, 1405, 4628, 1174, 1946, 3425, 6068, 1373, 18901, 865, 1454, 267, 1352, 6785, 602, 1352, 4941, 547, 581, 513, 851, 540, 621, 1932, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 23192, 3370, 693, 281, 4179, 2517, 613, 2131, 1492, 2805, 3820, 270, 21459, 11060, 1575, 3146, 557, 4705, 16519, 268, 1708, 273, 2389, 749, 584, 728, 268, 1817, 2928, 1606, 6011, 13045, 24867, 21822, 7838, 22432, 267, 2910, 1107, 5239, 476, 277, 267, 476, 1708, 273, 2567, 2060, 948, 689, 12548, 2828, 28349, 14114, 543, 741, 3950, 968, 294, 9994, 779, 2598, 1723, 5608, 15681, 584, 728, 9710, 2928, 8058, 12628, 513, 911, 8814, 2221, 3045, 23395, 519, 2407, 1982, 585, 922, 476, 1724, 628, 4670, 13037, 267, 16516, 585, 5239, 476, 1691, 268, 1626, 267, 476, 1708, 273, 538, 519, 1187, 5652, 543, 2189, 5599, 2389, 29354, 1606, 7288, 4884, 540, 15681, 584, 728, 267, 12548, 630, 324, 4582, 269, 476, 279, 267, 16020, 12664, 1916, 1607, 1032, 779, 1982, 2934, 513, 7347, 3486, 1899, 1575, 609, 519, 5767, 543, 1655, 16897, 8874, 689, 476, 1428, 2477, 1472, 519, 1158, 267, 609, 3875, 19971, 543, 5641, 543, 12284, 2818, 538, 1268, 269, 29934, 4315, 786, 723, 513, 4960, 547, 2743, 21035, 10828, 1849, 842, 20999, 693, 11016, 779, 10979, 21115, 600, 4317, 267, 1141, 646, 3580, 581, 1085, 334, 14563, 4672, 8645, 1354, 519, 13037, 779, 27164, 1982, 540, 594, 4753, 595, 3918, 4456, 631, 3198, 609, 1627, 26031, 4843, 676, 966, 710, 3258, 15540, 269, 10426, 25963, 786, 849, 581, 2111, 547, 1449, 741, 16897, 7260, 1702, 593, 10732, 1282, 674, 2431, 610, 654, 3994, 779, 9710, 2928, 2558, 14746, 267, 1141, 5716, 616, 9415, 512, 6231, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9710, 2928, 1315, 11511, 788, 344, 2961, 333, 2526, 14727, 1844, 639, 9710, 5558, 267, 547, 606, 9813, 3957, 7705, 602, 1175, 15354, 593, 3618, 543, 814, 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, 606, 9813, 609, 1100, 1702, 827, 3618, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 1684, 711, 1289, 7705, 606, 9813, 269, 0, 5149, 7170, 281, 19484, 9977, 16644, 843, 9442, 998, 8479, 16989, 27140, 692, 7072 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1164, 7907, 538, 19920, 849, 269, 16480, 267, 930, 4639, 590, 9200, 1014, 5487, 1731, 553, 666, 2097, 547, 581, 679, 2365, 540, 19920, 543, 1453, 602, 616, 7000, 1445, 676, 741, 10820, 610, 32388, 832, 269, 9603, 547, 519, 1249, 602, 789, 616, 13991, 547, 741, 1920, 267, 789, 1522, 1294, 1445, 7000, 547, 19920, 607, 606, 16315, 540, 20247, 5819, 1399, 689, 741, 32388, 832, 269, 5221, 540, 713, 5168, 267, 4639, 590, 9200, 1014, 5487, 1731, 553, 666, 7119, 538, 20935, 610, 5739, 3527, 547, 1205, 1445, 1394, 563, 291, 9233, 5381, 547, 519, 4639, 590, 9200, 1014, 5487, 11986, 454, 291, 690, 2010, 899, 519, 4639, 590, 9200, 1014, 5487, 11986, 2874, 540, 912, 268, 25227, 1975, 6308, 1107, 901, 1826, 11338, 2501, 689, 6576, 2943, 13978, 538, 18940, 2221, 269, 1358, 616, 513, 10478, 2915, 899, 519, 4639, 590, 9200, 1014, 5487, 11986, 543, 616, 6956, 585, 741, 3303, 1243, 543, 12391, 1164, 7907, 563, 268, 962, 752, 583, 1014, 5487, 11986, 1107, 901, 2915, 568, 513, 4990, 540, 5487, 11986, 1826, 899, 519, 5375, 590, 9200, 1014, 5487, 11986, 1358, 616, 521, 1194, 267, 1200, 3429, 267, 543, 10478, 5243, 689, 27584, 4997, 269, 1358, 616, 11338, 1360, 2653, 547, 13599, 607, 513, 1267, 540, 741, 1164, 1702, 563, 268, 590, 9200, 1014, 26036, 5652, 1107, 590, 9200, 1014, 670, 23677, 625, 616, 521, 1194, 5243, 689, 29036, 5607, 269, 901, 1826, 5932, 606, 11108, 1920, 2915, 2943, 2115, 513, 2603, 540, 909, 18141, 543, 1445, 1175, 899, 519, 4639, 590, 9200, 1014, 5487, 11986, 563, 28082, 18780, 585, 4639, 590, 9200, 1014, 5487, 1731, 553, 454, 28082, 4408, 585, 5256, 4639, 590, 9200, 1014, 5487, 1731, 553, 616, 912, 28082, 4408, 585, 4775, 4639, 590, 9200, 1014, 5487, 1731, 553, 616, 281, 0, 6701, 649, 1869, 538, 5084, 286, 5871, 16527, 630, 4753, 282, 5824, 281, 513, 5028, 5175, 3258, 529, 264, 568, 513, 1505, 1031, 547, 2697, 513, 1032, 269, 2560, 9460, 568, 606, 4244, 547, 519, 5084, 267, 1062, 1031, 676, 10271, 855, 519, 2338, 616, 519, 1482, 281, 713, 1032, 568, 476, 1708, 272, 9460, 610, 8449, 5084, 476, 1708, 272, 630, 8117, 2356, 649, 1175, 2161, 16938, 713, 1032, 568, 476, 1708, 272, 9732, 1040, 5084, 568, 606, 28008, 540, 5824, 281, 3045, 334, 2531, 7236, 267, 1396, 269, 2048, 20204, 540, 519, 18459, 17483, 1432, 1032, 568, 476, 4335, 5084, 888, 763, 2495, 540, 589, 6185, 269, 543, 645, 5861, 563, 288, 6185, 269, 6763, 585, 1323, 7224, 12358, 7236, 267, 799, 568, 5824, 585, 968, 20204, 540, 938, 7083, 2223, 543, 621, 1797, 519, 1297, 540, 1296, 2094, 519, 4332, 540, 4906, 2441, 269, 2334, 729, 513, 2370, 811, 982, 476, 1220, 271, 1296, 3516, 267, 865, 519, 4266, 476, 4335, 589, 6185, 269, 1797, 476, 4335, 1296, 1310, 476, 1220, 271, 1296, 3516, 267, 610, 513, 2370, 811, 982, 476, 5611, 271, 1296, 3516, 563, 7617, 740, 1032, 568, 476, 1708, 271, 888, 6624, 1004, 1131, 2995, 596, 713, 568, 519, 1032, 589, 6185, 269, 476, 1708, 271, 269, 11524, 1522, 1289, 621, 519, 1032, 476, 1708, 271, 595, 9950, 269, 2368, 1131, 2161, 621, 779, 519, 1032, 476, 5325, 272, 279, 267, 476, 13893, 272, 267, 610, 1256, 476, 276, 4281, 271, 256, 898, 782, 5673, 593, 799, 540, 519, 1158, 779, 1082, 30300, 1513, 596, 2461, 2542, 269, 4653, 267, 1034, 2477, 946, 519, 15535, 20187, 11706, 607, 741, 3540, 11706, 563, 1692, 2025, 729, 4906, 950, 5747, 888, 763, 1390, 5354, 540, 10271, 10847, 454, 553, 519, 1651, 28271, 540, 2696, 519, 12312, 267, 519, 2034, 540, 1614, 7606, 540, 519, 27076, 563, 347, 4696, 476, 1789, 610, 476, 3451, 630, 3042, 476, 3451, 1700, 3607, 264, 13243, 267, 11662, 540, 7225, 20660, 267, 4936, 7276, 2008, 7617, 740, 568, 2221, 888, 13295, 267, 519, 1699, 1032, 568, 2854, 607, 476, 1708, 272, 538, 1312, 711, 725, 630, 528, 267, 952, 2417, 9355, 568, 2877, 267, 607, 476, 1708, 272, 9460, 267, 610, 607, 5084, 476, 1708, 272, 1070, 543, 519, 1032, 602, 24198, 5747, 568, 6719, 607, 476, 274, 4200, 14514, 630, 1492, 1482, 1032, 602, 568, 6719, 676, 476, 274, 4200, 7460, 538, 519, 7460, 270, 4696, 10035, 1916, 24078, 972, 513, 1032, 476, 271, 888, 288, 1032, 4642, 1281, 711, 2291, 538, 519, 1323, 7224, 12358, 7236, 630, 4696, 264, 11706, 1032, 1062, 4122, 1031, 547, 1297, 1296, 538, 519, 15535, 20187, 11706, 630, 24335, 538, 922, 31317, 267, 519, 30486, 11706, 5148, 538, 713, 1062, 267, 519, 1032, 476, 272, 7460, 568, 4553, 2047, 676, 1032, 5084, 476, 272, 269, 2560, 1656, 972, 568, 513, 1032, 4642, 538, 1034, 14418, 543, 9699, 30300, 1513, 563, 8005, 729, 4535, 538, 519, 1032, 476, 272, 888, 2690, 667, 542, 903, 3780, 267, 519, 4332, 540, 2441, 6719, 5729, 2290, 269, 1261, 5156, 602, 713, 7018, 476, 4037, 274, 1296, 1310, 519, 5748, 540, 7507, 563, 3963, 568, 7460, 1631, 1572, 14514, 888, 8245, 2952, 2322, 267, 14514, 630, 6524, 5871, 16527, 264, 568, 513, 16712, 4528, 540, 7460, 630, 29592, 2441, 1040, 9460, 630, 13349, 16527, 264, 568, 519, 16712, 6697, 540, 5084, 630, 2335, 334, 12358, 7236, 1070, 799, 1797, 968, 514, 519, 1032, 540, 519, 7083, 892, 538, 5824, 269, 2560, 14514, 270, 4753, 723, 1044, 538, 7928, 946, 676, 6014, 19174, 585, 811, 982, 476, 1911, 1296, 563, 2710, 649, 2661, 538, 7460, 610, 5084, 888, 763, 5375, 11706, 6645, 721, 649, 2661, 538, 476, 1001, 280, 267, 799, 568, 3006, 2854, 5084, 1001, 279, 269, 5084, 4016, 547, 3045, 334, 12358, 7236, 267, 513, 5824, 8360, 602, 1797, 968, 1492, 1032, 540, 519, 7083, 269, 9732, 634, 1296, 1354, 519, 4332, 540, 2441, 616, 22921, 18807, 689, 1010, 4332, 563, 1432, 21359, 616, 711, 8483, 1508, 676, 2696, 888, 1103, 519, 4168, 14644, 999, 267, 972, 616, 1614, 18627, 602, 1491, 909, 519, 1641, 540, 18894, 326, 22133, 5609, 269, 769, 519, 3883, 540, 15623, 630, 1321, 281, 476, 4029, 268, 3953, 1070, 649, 1224, 267, 16938, 4475, 594, 2161, 547, 596, 267, 1022, 5609, 543, 1025, 5684, 1335, 344, 4927, 581, 8483, 1508, 2367, 267, 855, 1025, 5684, 1335, 344, 1996, 519, 13336, 4927, 711, 581, 8483, 1508, 563, 12441, 4906, 723, 513, 1126, 888, 763, 1433, 602, 6811, 4906, 1185, 513, 7385, 543, 3214, 2443, 543, 519, 2377, 3430, 1194, 2278, 3297, 621, 269, 634, 4589, 1616, 547, 2911, 827, 2441, 269, 1358, 1616, 596, 547, 917, 602, 267, 12617, 9944, 5553, 540, 25749, 543, 24242, 267, 4906, 1185, 513, 5728, 7385, 267, 3957, 6307, 7395, 30445, 2940, 267, 543, 646, 3170, 22363, 1079, 1453, 609, 1200, 563, 8489, 1705, 4906, 12617, 888, 297, 28779, 2245, 17246, 1228, 19746, 1369, 519, 6821, 540, 513, 2749, 267, 543, 519, 717, 28145, 14574, 602, 4906, 729, 12617, 3544, 540, 13243, 267, 2282, 519, 3135, 540, 1010, 16961, 32267, 542, 593, 30110, 326, 1054, 320, 630, 26872, 519, 1747, 540, 15693, 338, 9732, 1916, 3674, 476, 1001, 280, 7460, 610, 5084, 888, 2414, 581, 5730, 267, 519, 1032, 1318, 1631, 1131, 581, 476, 1001, 280, 589, 6185, 269, 1284, 6003, 616, 1296, 609, 2901, 589, 6185, 269, 630, 6518, 6763, 585, 1323, 7224, 12358, 7236, 267, 610, 519, 968, 17413, 540, 938, 7083, 14615, 528, 645, 5861, 269, 630, 6518, 6763, 585, 968, 6524, 2441, 26158, 1924, 476, 1001, 280, 589, 6185, 269, 1131, 10199, 1611, 476, 1001, 280, 1296, 1310, 4906, 2441, 729, 4535, 563, 1432, 5949, 476, 272, 560, 7460, 888, 277, 7460, 1107, 476, 275, 7460, 281, 17510, 540, 4906, 540, 9294, 732, 628, 630, 5408, 20048, 1108, 540, 4906, 685, 4332, 543, 2669, 267, 1323, 7224, 12358, 7236, 267, 543, 5871, 16527, 585, 2417, 3877, 1040, 476, 275, 7460, 281, 7225, 20660, 24509, 539, 547, 519, 4936, 11662, 540, 16850, 1310, 519, 2669, 540, 3751, 4173, 617, 269, 2560, 476, 272, 7460, 281, 14890, 589, 328, 540, 12390, 10523, 543, 568, 16309, 676, 1010, 5216, 1032, 2025, 23013, 623, 532, 563, 24078, 972, 513, 1032, 476, 26116, 888, 17413, 476, 26116, 630, 291, 12710, 311, 9654, 264, 729, 513, 1455, 1032, 4358, 593, 13628, 630, 15062, 786, 4159, 519, 2407, 11706, 264, 540, 519, 30486, 11706, 269, 634, 21000, 1588, 476, 26116, 585, 713, 1032, 814, 1044, 1031, 2094, 519, 2038, 10120, 1974, 267, 950, 519, 1323, 7224, 12358, 7236, 11706, 5736, 2968, 519, 11342, 1505, 538, 2342, 585, 20803, 1296, 563, 2691, 1705, 3425, 1376, 10203, 1296, 888, 763, 1323, 7224, 12358, 7236, 6580, 1062, 729, 25282, 538, 476, 30589, 676, 667, 542, 903, 3780, 1401, 580, 340, 639, 547, 26246, 519, 1296, 538, 1010, 14914, 3349, 269, 3571, 1062, 729, 547, 5372, 519, 4144, 665, 2280, 1014, 5736, 602, 1185, 1044, 1031, 538, 606, 2025, 14914, 3349, 267, 607, 646, 1705, 711, 6999, 547, 3136, 519, 3965, 540, 513, 1119, 7949, 945, 30201, 3176, 10271, 563, 2691, 1705, 1032, 476, 272, 5084, 1376, 888, 2467, 568, 1100, 1032, 4642, 538, 713, 10325, 282, 3976, 519, 1032, 5084, 476, 272, 5612, 5205, 519, 1032, 476, 272, 7460, 269, 901, 6580, 1062, 729, 25282, 538, 476, 30589, 676, 667, 542, 903, 3780, 1401, 580, 340, 639, 540, 590, 1097, 628, 807, 19724, 267, 855, 729, 711, 4922, 1031, 2394, 519, 476, 280, 628, 2540, 563, 1692, 2025, 568, 513, 1126, 538, 1032, 476, 272, 888, 347, 21609, 779, 2085, 1475, 17413, 1475, 7659, 3942, 2008, 347, 274, 547, 476, 275, 1475, 15900, 1296, 2008, 347, 275, 547, 476, 276, 1475, 3725, 4003, 1475, 15900, 1296, 2008, 276, 547, 476, 277, 454, 347, 277, 547, 476, 278, 1475, 17413, 476, 273, 1475, 16775, 272, 2008, 3963, 568, 7460, 18886, 23651, 888, 23192, 5775, 26833, 281, 4208, 616, 1296, 1354, 2441, 630, 289, 5861, 4700, 18886, 23651, 286, 5221, 922, 513, 24794, 8826, 11706, 609, 519, 1376, 1448, 693, 1032, 476, 272, 540, 519, 15535, 20187, 11706, 543, 1590, 4061, 1293, 23651, 538, 1931, 547, 1118, 1022, 2631, 267, 1175, 899, 2942, 2338, 563, 1692, 1082, 1296, 616, 538, 7460, 888, 289, 5861, 269, 6763, 585, 16938, 1354, 2441, 267, 9732, 2495, 1354, 4906, 729, 4535, 269, 1924, 476, 6110, 645, 5861, 269, 1797, 476, 6110, 1296, 1354, 4906, 729, 4535, 269, 589, 6185, 269, 2501, 689, 519, 5824, 16938, 3045, 334, 12358, 7236, 267, 9732, 799, 1797, 16938, 538, 519, 1032, 540, 519, 7083, 269, 9732, 589, 6185, 269, 10039, 547, 1296, 1739, 519, 4332, 540, 4906, 563, 3674, 7460, 4587, 982, 740, 888, 2467, 568, 1100, 16938, 4642, 9732, 1032, 2443, 538, 713, 1062, 267, 519, 1032, 2441, 729, 4535, 568, 476, 272, 589, 6185, 1421, 543, 519, 1032, 18631, 621, 568, 476, 272, 645, 5861, 269, 901, 2259, 729, 1101, 6700, 538, 519, 15795, 2540, 589, 6185, 1421, 543, 729, 7550, 676, 519, 28831, 540, 602, 942, 563, 1432, 568, 519, 1032, 476, 272, 5084, 888, 4696, 476, 272, 630, 296, 1070, 476, 272, 5084, 610, 476, 272, 9460, 568, 519, 22184, 1032, 585, 519, 1323, 7224, 12358, 7236, 11706, 5736, 269, 898, 729, 519, 1101, 1032, 540, 519, 5871, 16527, 630, 4753, 1070, 540, 519, 476, 272, 560, 26992, 543, 540, 519, 476, 272, 560, 2540, 563, 1432, 616, 519, 476, 274, 10782, 21359, 888, 6097, 547, 519, 3044, 1592, 267, 789, 616, 454, 1440, 728, 267, 26846, 267, 32716, 267, 679, 11803, 267, 561, 755, 267, 22965, 2023, 344, 543, 1793, 1054, 454, 267, 799, 616, 14669, 547, 519, 5722, 31676, 21644, 563, 268, 5487, 1393, 1107, 4189, 1932, 1163, 13208, 563, 268, 2289, 328, 846, 1107, 4189, 1932, 546, 5593, 1176, 563, 268, 715, 574, 529, 1107, 4189, 1932, 1454, 563, 268, 16217, 788, 1886, 699, 1107, 4189, 1932, 4166, 563, 268, 1488, 4823, 518, 1107, 4189, 1932, 23362, 563, 1432, 568, 519, 835, 5609, 602, 2052, 2254, 581, 8483, 1508, 888, 3080, 18163, 610, 18894, 326, 22133, 5609, 630, 4565, 5684, 1335, 344, 1996, 519, 10513, 13336, 1070, 849, 1634, 607, 519, 5609, 21349, 2669, 267, 568, 9138, 538, 1896, 15102, 540, 519, 14271, 641, 6776, 717, 28145, 267, 1519, 4460, 476, 274, 281, 2764, 1700, 3066, 267, 15623, 476, 1321, 281, 4029, 1700, 3953, 267, 543, 19279, 476, 1321, 281, 1015, 267, 607, 1134, 607, 824, 1715, 11620, 15102, 1519, 1261, 3691, 9749, 476, 277, 281 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 899, 31331, 267, 5136, 600, 659, 732, 267, 543, 1482, 20967, 7365, 267, 1082, 1004, 2119, 547, 946, 2257, 547, 24772, 741, 7440, 269, 1656, 2094, 621, 779, 4742, 4443, 547, 1449, 543, 3715, 5013, 1765, 31347, 538, 6323, 267, 6530, 267, 610, 3609, 1765, 28236, 723, 9289, 1946, 9186, 543, 26445, 723, 711, 1044, 17204, 563, 299, 16479, 12096, 2329, 540, 9324, 3539, 519, 4856, 7758, 894, 1230, 329, 4233, 1315, 9324, 3539, 519, 4856, 7758, 894, 454, 2467, 616, 476, 1240, 1016, 31795, 923, 540, 834, 293, 718, 9313, 540, 14893, 9899, 1215, 666, 649, 917, 4376, 827, 4376, 286, 2334, 781, 519, 1483, 2243, 8298, 673, 12096, 2329, 540, 9324, 3539, 519, 4856, 7758, 894, 1230, 329, 4233, 1315, 9324, 3539, 519, 4856, 7758, 894, 9324, 3539, 519, 12633, 894, 14966, 568, 835, 540, 519, 1082, 1159, 10280, 920, 839, 602, 616, 1031, 547, 3382, 519, 1249, 602, 519, 7744, 568, 1759, 593, 835, 540, 519, 1614, 2887, 9313, 540, 3397, 23774, 320, 781, 2468, 12661, 2742, 269, 24269, 513, 9266, 2887, 2329, 568, 8149, 267, 519, 2887, 2329, 814, 922, 5072, 538, 3397, 23774, 320, 781, 2468, 12661, 2742, 563, 2026, 574, 990, 593, 1215, 547, 2142, 1160, 331, 881, 910, 20574, 294, 9130, 2593, 454, 3674, 320, 659, 1306, 574, 990, 729, 835, 540, 519, 1034, 30508, 4589, 945, 2479, 5030, 269, 14539, 936, 476, 4335, 2835, 267, 543, 5111, 476, 3445, 267, 1822, 5022, 936, 519, 1576, 540, 1010, 1272, 269, 12989, 616, 513, 4015, 540, 930, 540, 1010, 4388, 593, 2713, 513, 30508, 1272, 454, 12749, 476, 736, 8298, 673, 12096, 9313, 910, 634, 28024, 696, 923, 262, 6651, 547, 519, 17807, 454, 7072, 547, 21261, 12856, 540, 513, 8298, 673, 21261, 6787, 649, 616, 29596, 3222, 540, 621, 610, 711, 267, 938, 7440, 782, 1246, 513, 1978, 2596, 2497, 269, 1358, 2253, 609, 835, 610, 811, 22402, 267, 799, 616, 5013, 602, 519, 4661, 3217, 585, 11292, 607, 519, 4358, 1448, 269, 3973, 513, 6240, 540, 7954, 568, 4294, 538, 1931, 547, 2097, 547, 513, 3932, 563, 8266, 540, 2887, 9313, 454, 288, 2887, 2329, 568, 11234, 4661, 538, 7954, 543, 20116, 4611, 538, 513, 3668, 540, 14496, 267, 610, 811, 3622, 267, 513, 3668, 540, 3280, 1145, 269, 12096, 9313, 616, 2901, 6101, 2887, 9313, 610, 13016, 2887, 9313, 269, 31131, 2887, 9313, 454, 8110, 2739, 3070, 2887, 2329, 454, 2421, 7033, 670, 8973, 968, 763, 3501, 568, 519, 10546, 540, 519, 1434, 1848, 2443, 5292, 3279, 790, 968, 301, 984, 1328, 1500, 513, 3152, 12161, 982, 646, 945, 1705, 4986, 1317, 646, 1223, 798, 1152, 513, 2370, 1848, 1107, 31611, 8738, 651, 634, 17828, 8827, 12096, 2329, 630, 10193, 1634, 607, 519, 2048, 301, 597, 341, 3570, 12096, 2329, 8072, 264, 568, 513, 7301, 27524, 30315, 602, 4386, 950, 606, 4661, 17648, 602, 513, 3501, 3070, 547, 513, 1966, 6818, 543, 5924, 602, 513, 6069, 3070, 1058, 581, 15653, 1317, 930, 851, 540, 519, 1966, 1131, 1869, 2291, 1310, 621, 941, 8045, 563, 26855, 3701, 585, 519, 6228, 540, 2696, 454, 11372, 12855, 13115, 1670, 7440, 15328, 332, 1670, 7440, 918, 15401, 14421, 1670, 4661, 634, 2832, 540, 713, 4661, 568, 547, 1397, 602, 519, 7122, 1185, 513, 4098, 538, 519, 13113, 2250, 269, 634, 4661, 12959, 1996, 519, 6228, 540, 606, 12808, 267, 13796, 1036, 816, 540, 2250, 2621, 799, 10522, 513, 7122, 602, 814, 28222, 11478, 563, 257, 18800, 540, 9085, 257, 772, 310, 5336, 611, 2581, 5675, 4741, 27752, 781, 18361, 454, 1432, 568, 513, 2689, 540, 3332, 286, 634, 3898, 540, 513, 2689, 540, 3332, 949, 4268, 689, 9015, 547, 9015, 543, 689, 7084, 547, 7084, 269, 589, 2689, 949, 581, 513, 1582, 8410, 22633, 1770, 4534, 606, 1439, 538, 3294, 4534, 610, 513, 840, 2183, 547, 543, 24117, 585, 2502, 538, 3119, 1382, 563, 25618, 625, 585, 2565, 3206, 538, 1565, 267, 3487, 594, 454, 1320, 9722, 543, 11291, 3126, 11150, 585, 2565, 3206, 538, 1565, 543, 1788, 2359, 11879, 3206, 2090, 513, 1888, 610, 1966, 609, 1930, 16490, 1145, 20136, 3635, 14592, 519, 1101, 3942, 540, 7311, 513, 2565, 3206, 1935, 547, 3384, 543, 1620, 513, 1888, 269, 0, 6826, 2246, 344, 568, 606, 7493, 1523, 602, 814, 1044, 513, 1888, 540, 7521, 585, 5553, 269, 1306, 513, 2486, 267, 649, 616, 7683, 10514, 12023, 609, 2592, 540, 1018, 568, 2808, 4190, 267, 543, 713, 814, 3366, 1082, 547, 2243, 519, 3020, 2495, 540, 5898, 269, 2755, 972, 568, 1100, 2582, 4214, 540, 5898, 267, 1082, 1004, 3494, 602, 5898, 568, 811, 982, 1175, 5920, 1107, 621, 568, 513, 8086, 540, 835, 779, 6418, 1582, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 9759, 540, 5898, 543, 1946, 621, 568, 865, 1271, 547, 9784, 621, 538, 938, 2729, 563, 273, 269, 25925, 568, 2859, 20537, 16164, 12213, 454, 4407, 2168, 5920, 949, 7620, 4482, 3007, 267, 3020, 5898, 6013, 9944, 519, 2627, 269, 898, 568, 519, 1259, 649, 1521, 1866, 267, 938, 2418, 267, 543, 938, 18653, 602, 5963, 5581, 721, 269, 25925, 568, 849, 827, 2348, 6015, 538, 13951, 267, 1256, 538, 519, 3068, 540, 14488, 269, 1879, 649, 2234, 5573, 6418, 5898, 267, 621, 666, 581, 2938, 538, 519, 1259, 649, 4163, 6000, 543, 2170, 609, 1866, 269, 898, 568, 713, 6418, 5898, 602, 814, 519, 1379, 547, 8300, 543, 10575, 3424, 1866, 563, 274, 269, 634, 5295, 540, 8682, 6441, 913, 454, 3080, 540, 519, 1034, 1271, 3344, 540, 8508, 835, 779, 5898, 568, 1582, 2000, 913, 269, 1284, 1419, 7340, 602, 649, 616, 782, 2189, 2043, 543, 602, 938, 20541, 687, 1118, 721, 945, 649, 616, 269, 8682, 2000, 913, 568, 827, 9301, 543, 16561, 938, 20924, 267, 543, 14120, 938, 9342, 269, 1879, 649, 1451, 547, 2648, 6000, 267, 621, 10987, 4443, 547, 2648, 1866, 543, 547, 1294, 519, 5898, 538, 519, 1158, 1472, 721, 563, 275, 269, 28740, 25925, 3414, 9877, 1145, 454, 30747, 1145, 568, 513, 3532, 1907, 602, 666, 948, 721, 2234, 5573, 6418, 5898, 269, 1879, 649, 1397, 11587, 547, 1866, 267, 621, 666, 8300, 873, 547, 798, 519, 1482, 267, 2870, 513, 678, 21451, 1198, 540, 25273, 269, 11822, 6411, 540, 11587, 267, 971, 607, 8066, 519, 7450, 1930, 585, 2576, 610, 5356, 513, 12837, 267, 666, 6505, 523, 2576, 779, 1554, 543, 4734, 513, 9434, 1764, 269, 1879, 649, 1118, 513, 6857, 4674, 547, 581, 2186, 267, 649, 13520, 811, 13730, 267, 28450, 267, 543, 4190, 2043, 563, 276, 269, 26875, 1944, 28740, 25925, 454, 1103, 513, 1158, 602, 1419, 12662, 513, 1164, 1871, 593, 2168, 5920, 267, 621, 568, 1271, 547, 4225, 6418, 5898, 269, 901, 1797, 1818, 513, 6857, 4674, 547, 2259, 1582, 2000, 913, 267, 11587, 267, 543, 6612, 2509, 6000, 543, 1866, 269, 1879, 649, 1445, 593, 14237, 6418, 5898, 267, 649, 13520, 811, 8746, 267, 24009, 267, 543, 7524, 269, 1284, 2253, 547, 1294, 519, 1158, 538, 513, 1114, 1769, 543, 4482, 2318, 2833, 543, 2043, 883, 938, 2729, 563, 1103, 9759, 267, 5898, 568, 811, 982, 1175, 2960, 2620, 269, 898, 568, 827, 8508, 835, 779, 22464, 267, 8026, 1582, 2000, 913, 267, 543, 10237, 908, 11587, 2509, 1866, 269, 1879, 649, 4225, 6418, 5898, 538, 938, 2729, 267, 649, 13520, 811, 4190, 2043, 267, 1312, 3330, 543, 856, 269, 898, 568, 1271, 547, 3314, 602, 5898, 568, 16148, 543, 602, 938, 3604, 1058, 581, 9976, 267, 711, 24565, 269, 1635, 8508, 938, 6418, 5898, 267, 649, 666, 1118, 513, 2318, 1764, 593, 519, 1158, 543, 1711, 513, 1272, 4904, 609, 2648, 543, 8788, 269, 0, 1432, 568, 6252, 1143, 630, 514, 7384, 25145, 13640, 5537, 1143, 538, 7384, 4016, 547, 2553, 602, 1118, 513, 1982, 5488, 676, 3257, 1082, 1107, 7366, 547, 6634, 1107, 540, 4238, 8195, 269, 898, 568, 513, 13654, 6240, 540, 7856, 7384, 267, 3684, 1565, 267, 543, 1617, 603, 1348, 539, 5752, 1317, 621, 6087, 23501, 267, 1239, 6887, 267, 543, 3156, 547, 10994, 1804, 2042, 676, 8840, 873, 1524, 883, 4130, 267, 4830, 4247, 269, 898, 1419, 3340, 8800, 1804, 10070, 540, 1970, 1942, 8800, 2436, 621, 581, 24352, 648, 21932, 610, 13763, 538, 513, 12440, 563, 2467, 616, 1896, 5383, 547, 6252, 1143, 538, 7384, 269, 898, 666, 581, 1447, 14427, 543, 1447, 942, 21791, 1317, 1896, 2200, 616, 2324, 1927, 693, 835, 942, 269, 769, 1840, 267, 621, 666, 581, 811, 4052, 547, 4194, 1804, 2042, 676, 8840, 873, 1524, 883, 4130, 4773, 269, 0, 30399, 267, 14830, 12579, 723, 4330, 1715, 4446, 333, 15540, 607, 7133, 519, 521, 3298, 267, 25210, 267, 543, 1710, 29913, 563, 306, 3298, 281, 31177, 267, 21721, 267, 543, 11876, 1993, 2042, 269, 634, 7074, 2014, 540, 891, 2042, 568, 519, 1309, 755, 545, 2470, 540, 1007, 6405, 267, 4929, 513, 2960, 5114, 593, 519, 5377, 540, 519, 3723, 21181, 563, 22102, 18015, 538, 519, 14950, 2049, 3850, 4551, 547, 4283, 883, 519, 3662, 779, 1560, 4929, 4745, 3968, 538, 519, 19704, 267, 17094, 956, 543, 25637, 563, 4415, 713, 22917, 8864, 267, 12696, 7985, 9271, 538, 2474, 540, 2799, 30889, 524, 1638, 532, 2557, 267, 9960, 2042, 267, 543, 824, 2359, 7965, 563, 31995, 543, 5685, 5109, 670, 9233, 912, 6124, 4446, 333, 15540, 814, 1044, 4080, 547, 849, 2014, 2766, 24146, 267, 543, 1274, 24146, 538, 3395, 543, 18138, 554, 9233, 269, 1160, 3027, 619, 7985, 9271, 689, 1715, 4446, 333, 15540, 538, 519, 3395, 543, 18138, 5933, 1813, 547, 2799, 524, 1638, 532, 540, 2831, 1317, 540, 2766, 24146, 267, 1274, 24146, 543, 22917, 8864, 563, 32546, 616, 711, 2386, 1946, 519, 6464, 538, 519, 1007, 6405, 949, 2014, 1274, 24146, 543, 2766, 24146, 538, 3395, 14918, 269, 634, 22917, 8864, 538, 3395, 14918, 568, 3361, 676, 519, 1482, 2601, 5018, 4505, 609, 519, 521, 3298, 563, 2750, 12371, 32460, 3046, 985, 666, 581, 18233, 543, 20177, 609, 10323, 3201, 268, 3951, 22493, 1530, 531, 656, 547, 948, 2061, 4551, 19221, 538, 519, 22405, 540, 519, 6405, 3976, 7303, 22917, 8864, 2042, 563, 10345, 3201, 268, 3951, 22493, 1530, 531, 656, 20910, 1055, 713, 1309, 755, 545, 3114, 689, 3346, 609, 519, 3723, 25247, 2960, 267, 799, 3947, 4027, 1996, 22917, 8864, 563, 6124, 4446, 333, 15540, 568, 513, 3510, 596, 1810, 1406, 1616, 547, 1491, 1022, 8458, 609, 269, 13555, 519, 10323, 3201, 268, 3951, 2319, 540, 4966, 945, 666, 2708, 596, 0, 1432, 568, 519, 3854, 540, 519, 2136, 2276, 888, 268, 6115, 267, 667, 5861, 563, 6344, 269, 7316, 568, 519, 6465, 826, 540, 23068, 888, 268, 1715, 3840, 630, 19604, 4011, 994, 268, 23068, 6816, 1496, 9827, 11807, 616, 1715, 14948, 267, 2282, 1715, 3840, 4975, 267, 543, 593, 519, 23747, 630, 305, 1853, 994, 13199, 269, 4208, 1281, 519, 9206, 723, 476, 1724, 26145, 286, 20330, 268, 630, 10303, 972, 941, 264, 476, 1724, 3312, 10125, 454, 268, 630, 10303, 519, 26145, 264, 2099, 519, 3312, 10125, 454, 14338, 269, 4208, 1281, 519, 9206, 723, 476, 2004, 6801, 888, 268, 630, 10303, 972, 568, 264, 835, 5182, 585, 1142, 1533, 454, 268, 630, 10303, 264, 1142, 5182, 4564, 513, 1533, 454, 268, 630, 10303, 972, 616, 264, 476, 2004, 2829, 454, 11277, 269, 1548, 568, 519, 2012, 540, 519, 3084, 1884, 1335, 888, 268, 634, 10060, 4149, 335, 22931, 14465, 1676, 454, 14862, 269, 634, 13780, 779, 1101, 2138, 1729, 729, 968, 292, 1773, 584, 756, 639, 1133, 636, 1848, 1548, 1281, 602, 1611, 888, 268, 4934, 540, 1082, 267, 835, 454, 268, 1284, 782, 1831, 835, 454, 10219, 269, 1548, 568, 14412, 4303, 888, 268, 589, 9702, 547, 8661, 772, 2529, 269, 7115, 630, 5228, 6628, 994, 268, 634, 2197, 779, 14512, 454, 14695, 269, 8745, 1614, 3084, 772, 2529, 269, 14812, 269, 20330, 268, 1715, 5729, 779, 4303, 454, 268, 9410, 13162, 3751, 267, 12789, 269, 4303, 454, 268, 3465, 6342, 4303, 630, 29910, 779, 17510, 1485, 994, 268, 17341, 4303, 454, 268, 14412, 4303, 454, 268, 8534, 4303, 454, 268, 19090, 4303, 454, 268, 27851, 4303, 454, 268, 21175, 4303, 454, 268, 8285, 4303, 454, 14096, 269, 1548, 568, 17341, 4303, 888, 268, 589, 9702, 547, 8956, 7980, 945, 5747, 538, 4108, 3028, 454, 12553, 269, 1548, 568, 27851, 4303, 888, 268, 589, 9702, 547, 8956, 1004, 538, 519, 630, 308, 2529, 4700, 4108, 454, 268, 589, 9702 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26726, 6435, 619, 29663, 563, 763, 2856, 568, 547, 2285, 891, 1453, 513, 21350, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 301, 10052, 2782, 11071, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 3778, 1315, 13639, 1299, 12668, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1015, 7454, 1763, 7808, 15379, 16530, 12910, 11659, 11829, 7685, 454, 16665, 6337, 538, 713, 1788, 912, 8448, 5227, 2093, 912, 4910, 7808, 15379, 16301, 910, 901, 5122, 5057, 568, 513, 1507, 3259, 6094, 5911, 2813, 519, 946, 540, 1291, 543, 17646, 18585, 269, 27009, 25146, 1000, 710, 568, 3622, 7298, 538, 513, 4837, 8546, 585, 2973, 946, 269, 1703, 616, 1808, 25146, 12904, 609, 519, 4390, 547, 2623, 2318, 1034, 14768, 799, 1331, 476, 274, 320, 267, 476, 276, 320, 267, 476, 1724, 320, 543, 476, 1428, 320, 269, 1234, 3712, 937, 267, 1699, 8928, 14724, 15029, 519, 5547, 568, 6806, 267, 4061, 519, 5969, 12967, 8928, 5631, 950, 519, 3119, 4483, 568, 593, 269, 2334, 779, 1946, 596, 991, 547, 1055, 519, 6240, 6467, 547, 31028, 519, 5201, 269, 30474, 519, 6587, 6073, 1472, 982, 519, 1482, 2025, 968, 1873, 3558, 593, 6100, 9406, 286, 563, 310, 2231, 609, 13711, 610, 6960, 2681, 725, 616, 1031, 585, 3251, 4296, 267, 865, 519, 3283, 616, 519, 2661, 12904, 269, 3973, 519, 12904, 609, 4544, 610, 3109, 24698, 616, 1031, 585, 31717, 4296, 267, 865, 789, 616, 519, 9243, 12904, 269, 1403, 596, 1294, 513, 3039, 610, 5835, 25984, 10260, 267, 11291, 789, 2811, 1031, 585, 3618, 4296, 267, 799, 1797, 602, 1346, 616, 519, 3618, 12904, 269, 1703, 616, 11690, 1124, 22806, 547, 1205, 476, 276, 320, 267, 476, 1724, 320, 610, 476, 1428, 320, 4207, 269, 5381, 547, 3774, 17176, 267, 972, 616, 2027, 2010, 540, 11690, 1124, 22806, 1759, 593, 8930, 2186, 1927, 609, 1079, 1790, 514, 11690, 338, 543, 476, 274, 1790, 514, 11690, 338, 538, 799, 519, 3791, 8930, 568, 585, 3618, 1000, 710, 269, 1677, 1205, 1346, 4296, 267, 3167, 2103, 946, 4099, 12904, 543, 476, 274, 4295, 12904, 563, 25821, 2103, 666, 1921, 2789, 8279, 547, 513, 796, 3405, 3072, 4483, 607, 1279, 607, 519, 2413, 6377, 12773, 540, 519, 6467, 568, 711, 19942, 267, 607, 606, 1383, 782, 3544, 8654, 26892, 666, 581, 4448, 547, 513, 796, 3405, 3072, 4483, 15603, 596, 1769, 909, 873, 1510, 8488, 24672, 269, 1306, 606, 3236, 267, 538, 519, 476, 273, 526, 1383, 267, 596, 693, 519, 6467, 1256, 607, 596, 3330, 519, 2777, 543, 1287, 596, 9090, 9376, 519, 7450, 607, 4166, 607, 9205, 269, 3767, 596, 1616, 547, 1055, 519, 4483, 267, 875, 798, 596, 798, 602, 286, 4004, 6510, 547, 3046, 787, 782, 523, 547, 1205, 519, 7060, 540, 2469, 3842, 4096, 286, 715, 2100, 256, 269, 1403, 972, 781, 513, 13337, 538, 1022, 540, 519, 11387, 1369, 519, 15335, 713, 4483, 10741, 630, 339, 8692, 264, 8850, 543, 31028, 338, 519, 1379, 5838, 269, 1280, 1383, 267, 950, 513, 1268, 11392, 6850, 322, 3176, 610, 950, 707, 4357, 1753, 1332, 547, 581, 513, 3804, 540, 513, 17500, 14213, 269, 1280, 519, 2601, 602, 7552, 4483, 568, 865, 3730, 267, 621, 2501, 609, 513, 1491, 513, 1413, 693, 7735, 15603, 596, 1449, 952, 621, 2731, 1568, 607, 10567, 269, 0, 12179, 821, 945, 779, 5030, 538, 8419, 585, 3476, 982, 513, 1554, 6487, 602, 2011, 14555, 568, 513, 1590, 267, 2523, 1282, 519, 4832, 269, 1306, 7264, 540, 513, 15911, 2916, 267, 621, 4667, 649, 616, 2141, 10478, 585, 602, 3501, 13362, 2179, 547, 4398, 5223, 547, 1832, 519, 8028, 1949, 8647, 693, 6099, 2157, 1510, 2269, 1456, 519, 6578, 563, 14611, 5199, 568, 2556, 585, 782, 3937, 267, 543, 4648, 4363, 2348, 707, 8028, 4559, 13761, 12422, 269, 769, 519, 29291, 267, 835, 1259, 547, 8831, 519, 1272, 543, 2298, 540, 707, 1770, 568, 547, 1902, 538, 1164, 3887, 11797, 2011, 12086, 563, 31262, 540, 606, 5794, 31207, 912, 1103, 1931, 547, 1174, 1946, 519, 2298, 540, 606, 2011, 6882, 1131, 1118, 513, 3017, 267, 621, 1522, 948, 547, 917, 1018, 922, 1909, 568, 538, 519, 1184, 540, 9023, 707, 1753, 269, 1323, 2011, 6882, 267, 540, 1576, 267, 12086, 519, 2011, 607, 621, 568, 6537, 883, 519, 8028, 1770, 547, 581, 22799, 543, 556, 2275, 597, 1529, 730, 269, 898, 20637, 13897, 543, 7452, 5536, 1354, 789, 1205, 547, 824, 2694, 540, 519, 3684, 282, 2694, 602, 666, 1205, 3905, 1247, 10512, 563, 1103, 2110, 267, 513, 2596, 2011, 6882, 786, 1832, 519, 7452, 689, 5337, 1746, 543, 20414, 824, 2694, 540, 519, 1770, 593, 3595, 563, 3383, 267, 513, 2596, 2011, 6882, 1281, 519, 2816, 269, 1717, 267, 538, 519, 1279, 2196, 267, 621, 3587, 811, 1942, 2500, 547, 1118, 519, 6467, 547, 513, 1164, 3887, 11797, 2011, 6882, 269, 4014, 519, 2596, 6882, 8952, 707, 2777, 689, 8028, 1770, 3595, 267, 621, 1281, 711, 2097, 2673, 547, 16069, 13897, 543, 7452, 689, 3478, 547, 519, 3330, 540, 519, 8028, 1770, 563, 2005, 568, 1271, 547, 3247, 13897, 543, 7452, 689, 3478, 883, 519, 1770, 267, 1317, 1169, 9325, 602, 1281, 8332, 2478, 4398, 269, 901, 18922, 883, 513, 2362, 10865, 3167, 3915, 269, 2060, 1648, 3790, 593, 519, 4473, 267, 1169, 2370, 3787, 2337, 269, 634, 7082, 1631, 814, 513, 3903, 547, 1118, 269, 5794, 12086, 991, 547, 581, 4957, 610, 19345, 1169, 476, 1789, 547, 476, 3445, 2395, 267, 4470, 593, 519, 2203, 563, 11947, 3887, 11797, 2011, 12086, 798, 1942, 811, 267, 855, 786, 2539, 10865, 3167, 12014, 607, 1134, 607, 2759, 5993, 8028, 7816, 3790, 676, 3850, 519, 1062, 547, 2196, 693, 2362, 19993, 2157, 269, 634, 3328, 1753, 26782, 538, 8419, 22939, 827, 1269, 8517, 547, 1269, 272, 267, 1822, 12422, 593, 8028, 18203, 563, 763, 1062, 729, 5189, 538, 476, 2735, 278, 547, 2557, 4398, 2157, 540, 2011, 12086, 269, 595, 6817, 519, 29358, 21252, 27561, 10025, 630, 300, 27263, 1070, 621, 3096, 513, 4336, 540, 476, 272, 547, 476, 1626, 547, 3313, 2011, 6882, 4398, 267, 476, 1626, 1373, 519, 1034, 3608, 269, 11162, 267, 3001, 2694, 616, 1898, 585, 8028, 1770, 2773, 267, 543, 513, 1164, 3887, 11797, 2011, 6882, 20637, 1256, 18784, 14947, 543, 7452, 5536, 267, 607, 1507, 607, 476, 1015, 8020, 6425, 563, 288, 1480, 4552, 3800, 476, 1911, 8020, 6425, 538, 8006, 269, 1717, 267, 4648, 798, 4363, 15388, 1354, 11449, 269, 2060, 865, 1082, 1114, 2011, 6882, 3631, 543, 8028, 1770, 2306, 267, 621, 568, 1271, 547, 4444, 835, 602, 13352, 707, 1062, 563, 2005, 568, 4990, 540, 899, 2780, 3301, 269, 2368, 540, 519, 811, 2413, 3301, 3292, 1175, 5749, 1406, 15095, 609, 4587, 5904, 269, 634, 18960, 3301, 20546, 539, 519, 4587, 3937, 269, 1879, 713, 4523, 267, 621, 949, 581, 4502, 6236, 18175, 15665, 519, 3003, 8028, 1062, 269, 898, 568, 3833, 606, 23072, 267, 855, 1589, 827, 621, 899, 713, 281, 596, 616, 2469, 547, 581, 7836, 811, 2724, 936, 942, 609, 513, 1447, 3608, 1062, 563, 8256, 28366, 4080, 909, 547, 513, 476, 2004, 2600, 6175, 538, 10865, 1648, 3790, 950, 789, 16539, 538, 1164, 3887, 11797, 2011, 12086, 543, 8028, 4559, 269, 8409, 616, 9806, 596, 666, 1491, 782, 519, 1259, 547, 519, 4871, 2336, 11947, 3887, 11797, 2011, 12086, 666, 849, 581, 15747, 538, 5355, 2011, 2298, 3330, 519, 2777, 538, 1840, 547, 14178, 519, 1272, 540, 519, 8028, 1770, 3294, 269, 22165, 515, 4443, 609, 513, 1164, 3887, 11797, 2011, 6882, 269, 898, 20637, 267, 547, 2012, 513, 1906, 267, 4620, 546, 6387, 267, 4552, 4944, 2001, 267, 7622, 2973, 619, 267, 9044, 24032, 543, 824, 23480, 563, 12709, 14935, 945, 723, 10130, 267, 11959, 610, 723, 1453, 609, 11959, 1223, 2759, 3782, 3790, 3274, 676, 5355, 519, 2298, 540, 519, 2011, 269, 5015, 267, 952, 596, 991, 1022, 948, 609, 519, 10380, 540, 707, 6882, 596, 666, 3274, 1289, 513, 3318, 971, 607, 1346, 936, 693, 7585, 26081, 332, 14525, 589, 14727, 563, 763, 5856, 267, 31929, 10374, 267, 568, 1945, 540, 513, 1753, 6454, 11285, 538, 1200, 1753, 267, 3257, 1018, 1352, 666, 547, 2226, 3388, 602, 2306, 621, 513, 6899, 1747, 547, 2661, 269, 1403, 596, 6999, 547, 1451, 811, 827, 31929, 596, 666, 3643, 593, 5616, 266, 269, 0, 3080, 540, 519, 1655, 1634, 2038, 7215, 540, 23347, 2006, 673, 18639, 2219, 568, 519, 18639, 27659, 6652, 540, 4793, 534, 329, 8932, 2073, 519, 3312, 2012, 540, 799, 949, 723, 1044, 519, 623, 5953, 3279, 10722, 329, 531, 599, 7541, 23410, 5953, 14259, 1606, 5953, 30195, 330, 27256, 1790, 9545, 659, 3570, 630, 322, 269, 28069, 1063, 476, 23283, 910, 476, 28883, 264, 799, 930, 5640, 1631, 3494, 3769, 1312, 519, 521, 583, 6652, 543, 513, 16555, 269, 1306, 519, 2012, 5267, 267, 519, 21042, 9713, 4493, 585, 713, 1257, 568, 519, 4095, 6138, 17941, 590, 5953, 30195, 330, 27256, 269, 901, 19473, 2065, 1153, 568, 5018, 538, 918, 879, 30909, 1176, 320, 781, 1488, 628, 1662, 770, 571, 607, 835, 540, 519, 1614, 6688, 540, 606, 12858, 802, 1731, 529, 630, 874, 3342, 2684, 625, 264, 2059, 609, 18639, 543, 595, 5953, 337, 341, 5953, 6390, 269, 634, 1079, 3506, 723, 930, 3604, 607, 1134, 269, 18639, 7608, 519, 17748, 540, 834, 26051, 5601, 2580, 1247, 6341, 330, 27256, 2919, 607, 513, 7787, 626, 267, 1875, 7308, 2065, 270, 7752, 2065, 1062, 540, 9699, 6138, 269, 6884, 4793, 534, 329, 8932, 781, 1062, 568, 5219, 547, 607, 590, 21983, 341, 4673, 6341, 330, 27256, 538, 12095, 626, 8012, 547, 29518, 10042, 781, 715, 597, 643, 4673, 6341, 330, 27256, 269, 634, 19320, 1063, 18639, 543, 6341, 330, 27256, 941, 865, 2673, 602, 7665, 28228, 28705, 3081, 602, 834, 1492, 1079, 24866, 941, 538, 2442, 1612, 28917, 13747, 689, 1142, 824, 607, 6341, 330, 27256, 609, 543, 6341, 330, 27256, 1510, 513, 7083, 4799, 5278, 10610, 28265, 619, 1419, 8237, 741, 1426, 6981, 883, 476, 276, 547, 476, 278, 6980, 540, 3160, 9422, 1543, 543, 3548, 693, 2834, 11996, 630, 324, 3052, 269, 1169, 476, 273, 547, 476, 274, 3108, 1040, 901, 1935, 5713, 1079, 5301, 281, 547, 3970, 936, 785, 592, 3101, 538, 519, 5969, 5123, 267, 543, 547, 1450, 585, 519, 4616, 540, 1804, 12531, 540, 1426, 1282, 519, 4439, 6362, 5123, 269, 14856, 811, 4749, 1281, 711, 2333, 21828, 10894, 2557, 950, 3379, 547, 476, 274, 6980, 513, 1554, 269, 2755, 1426, 1281, 723, 513, 10894, 1942, 547, 7558, 267, 10110, 267, 543, 4558, 267, 1572, 519, 5687, 545, 1198, 540, 1426, 267, 621, 5673, 593, 519, 7274, 543, 1826, 540, 1426, 267, 711, 875, 519, 1426, 568, 3262, 2066, 519, 6980, 540, 519, 1554, 269, 4270, 22306, 2090, 1210, 2898, 23073, 1608, 528, 574, 4479, 543, 6065, 569, 13042, 1216, 723, 7152, 602, 972, 568, 1100, 10894, 5413, 547, 4189, 811, 4749, 563, 317, 717, 822, 514, 24627, 281, 834, 4322, 15646, 1735, 1356, 5389, 6035, 513, 1007, 5075, 540, 519, 1480, 2783, 799, 2968, 11368, 267, 547, 930, 4110, 267, 883, 519, 23381, 540, 519, 23347, 2006, 7622, 518, 269, 634, 16809, 540, 10841, 2045, 1143, 543, 15646, 10586, 4667, 267, 693, 1101, 267, 19944, 6681, 609, 519, 2909, 327, 2006, 673, 16809, 540, 519, 14751, 566, 540, 1514, 13800, 543, 519, 2773, 540, 1857, 543, 6469, 12738, 269, 11569, 267, 972, 814, 1044, 930, 7521, 607, 547, 2436, 10841, 2045, 1143, 543, 922, 2093, 540, 1427, 1026, 5737, 2962, 267, 556, 4532, 28271, 543, 5289, 19802, 267, 1522, 711, 723, 12090, 3544, 519, 31249, 642, 14037, 12106, 267, 610, 1256, 3544, 589, 32569, 2528, 281, 602, 513, 28836, 3140, 5169, 1522, 2272, 585, 519, 7805, 27171, 1369, 1412, 295, 8114, 1143, 262, 1063, 519, 1158, 14751, 566, 540, 519, 7622, 518, 543, 519, 1158, 2258, 566, 540, 519, 15646, 1735, 1356, 269, 1717, 267, 713, 27524, 582, 558, 1436, 568, 1932, 5187, 2065, 267, 585, 2585, 885, 666, 17216, 581, 1336, 1063, 15646, 10586, 543, 642, 14037, 23347, 2006, 1143, 267, 1247, 2609, 689, 1875, 5174, 19207, 2006, 673, 267, 590, 1090, 3570, 5389, 849, 5129, 606, 1271, 851, 538, 519, 5250, 540, 519, 15646, 9629, 622, 4998, 269, 11569, 972, 616, 2585, 885, 1063, 642, 14037, 23347, 2006, 1143, 543, 13221, 267, 543, 621, 814, 1044, 11130, 602, 519, 17700, 8179, 547, 2132, 547, 519, 16431, 540, 513, 642, 14037, 2486, 799, 646, 4718, 607, 1373, 2144, 10757, 538, 1010, 1378, 1554, 4799, 20694, 6387, 654, 2106, 928, 32625, 602, 1106, 1652, 9066, 543, 3693, 531, 9066, 1522, 723, 12090, 538, 519, 772, 20725, 19631, 2245, 269, 634, 9998, 4704, 547, 9066, 568, 538, 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 ]
[ 2200, 543, 10893, 3653, 563, 273, 269, 274, 6052, 21252, 281, 13722, 532, 12539, 14272, 2745, 454, 17457, 25738, 6191, 616, 2966, 609, 1648, 4398, 538, 2247, 269, 1635, 17306, 519, 8022, 543, 9023, 3157, 267, 891, 6191, 2154, 1447, 1648, 547, 3132, 1142, 10189, 267, 4611, 538, 513, 4389, 3327, 11640, 269, 6052, 18026, 25738, 6191, 1404, 513, 4105, 1909, 538, 5009, 6940, 676, 25137, 2200, 543, 4227, 8511, 3154, 5434, 563, 273, 269, 275, 27326, 8605, 5020, 18888, 281, 1234, 20608, 543, 4676, 650, 762, 13268, 1645, 454, 289, 27172, 6191, 7520, 519, 2504, 540, 23431, 543, 1201, 650, 762, 11183, 3681, 267, 8716, 6800, 547, 2569, 741, 946, 540, 2582, 14025, 5068, 269, 1452, 10357, 7888, 8925, 3565, 547, 513, 9764, 4346, 676, 14178, 519, 1587, 1272, 4783, 543, 10893, 3653, 5108, 563, 274, 269, 17904, 22159, 543, 8562, 983, 5071, 454, 289, 27172, 6191, 849, 1404, 513, 2629, 1909, 538, 12561, 9764, 1374, 3741, 269, 8562, 983, 1374, 3322, 2870, 2472, 609, 741, 3003, 1272, 4783, 538, 2247, 267, 689, 6151, 1570, 10868, 547, 1439, 6361, 3734, 12871, 269, 1635, 8888, 15004, 609, 6691, 1464, 543, 556, 639, 1464, 538, 2247, 267, 25738, 6191, 948, 7413, 3653, 543, 3895, 513, 6806, 2000, 17274, 1062, 602, 7028, 4264, 2853, 563, 275, 269, 20985, 27557, 585, 513, 5682, 518, 8892, 454, 21615, 571, 1424, 4264, 11183, 3435, 3340, 10319, 3646, 689, 782, 8639, 538, 519, 3761, 5832, 269, 22749, 267, 4213, 267, 6800, 267, 543, 14223, 2516, 782, 1404, 1898, 5107, 538, 5885, 543, 5009, 10357, 7888, 11183, 7341, 563, 276, 269, 10390, 281, 623, 3058, 519, 10158, 585, 12655, 13268, 1645, 454, 289, 27172, 6191, 723, 7153, 607, 10357, 7888, 3435, 602, 5397, 4264, 11183, 2853, 269, 3414, 17426, 2326, 267, 6691, 762, 11183, 267, 1648, 4398, 267, 543, 9764, 1374, 3741, 267, 891, 6191, 2569, 5068, 3653, 543, 3895, 513, 22928, 2104, 269, 1635, 10115, 538, 4264, 11183, 543, 5009, 23431, 543, 6691, 762, 3681, 267, 519, 11183, 2872, 666, 3648, 2569, 922, 2825, 1764, 543, 3565, 547, 513, 15777, 543, 8902, 4541, 563, 2026, 4656, 540, 6940, 5170, 547, 1332, 267, 519, 1909, 540, 25738, 6191, 538, 4264, 11183, 786, 17216, 1831, 1256, 811, 7986, 269, 1635, 19713, 519, 1761, 540, 25738, 6191, 543, 5009, 513, 9764, 4346, 267, 519, 2872, 666, 17362, 519, 1259, 585, 513, 811, 4264, 267, 10357, 7888, 2104, 267, 1141, 11183, 3587, 513, 851, 540, 519, 3070, 547, 2825, 2591, 269, 0, 20112, 24258, 568, 4092, 538, 14151, 269, 7108, 24258, 267, 14151, 814, 513, 2551, 540, 476, 1321, 267, 271, 3066, 269, 7108, 24258, 568, 1447, 1920, 7266, 878, 982, 519, 4478, 10315, 609, 476, 278, 260, 10820, 609, 1453, 269, 634, 10315, 6871, 585, 10820, 609, 1453, 568, 476, 3066, 18336, 763, 11667, 7622, 4747, 538, 7108, 24258, 267, 14151, 568, 1269, 10602, 267, 28526, 269, 634, 11667, 7622, 4747, 585, 519, 4478, 10315, 568, 1269, 6795, 267, 280, 6507, 3379, 547, 519, 3084, 11667, 540, 1269, 5780, 267, 19442, 269, 634, 11667, 2085, 540, 1004, 2713, 538, 7108, 24258, 568, 476, 4792, 269, 276, 1296, 563, 763, 3328, 1164, 2837, 538, 5147, 568, 476, 10441, 269, 274, 5232, 267, 609, 606, 3328, 1970, 2837, 538, 5130, 540, 476, 2412, 5232, 269, 634, 5993, 13247, 568, 476, 1321, 269, 3066, 269, 0, 10144, 4635, 7395, 328, 28673, 547, 21727, 4906, 538, 5840, 454, 7069, 560, 673, 681, 3770, 338, 717, 8724, 513, 1763, 30029, 454, 2690, 1346, 540, 721, 945, 1185, 513, 3909, 909, 32523, 267, 972, 616, 1079, 6589, 540, 4906, 2441, 779, 4332, 269, 634, 835, 538, 519, 22258, 540, 19279, 543, 15623, 269, 634, 22258, 540, 19279, 6257, 519, 4332, 540, 4906, 2441, 538, 21861, 548, 1335, 1247, 519, 835, 538, 15623, 3947, 721, 513, 2143, 2272, 540, 875, 519, 8797, 2367, 4718, 513, 6505, 5182, 543, 4956, 547, 1246, 621, 269, 16270, 12625, 267, 519, 8797, 2367, 6035, 4816, 4906, 1614, 13344, 799, 941, 281, 7108, 267, 7671, 4532, 1619, 267, 543, 3733, 337, 9071, 269, 1548, 1082, 1004, 1810, 1406, 917, 568, 602, 519, 1614, 8797, 2367, 941, 7395, 328, 563, 10144, 4635, 7395, 328, 28673, 547, 21727, 4906, 538, 5840, 22535, 339, 11548, 10472, 2639, 763, 4012, 328, 941, 513, 8797, 1004, 945, 1185, 513, 5679, 871, 585, 2542, 519, 6801, 543, 8754, 519, 10206, 602, 789, 941, 8797, 269, 1323, 18303, 16724, 267, 24053, 8210, 28727, 267, 568, 8744, 519, 7395, 328, 5389, 1394, 676, 4142, 21899, 1010, 3484, 547, 2030, 7108, 267, 7671, 4532, 1619, 267, 543, 3733, 337, 9071, 269, 898, 568, 5156, 602, 519, 8797, 2367, 1705, 711, 10516, 4816, 4906, 609, 4890, 4154, 855, 2864, 993, 828, 18300, 540, 519, 645, 1023, 600, 540, 717, 850, 611, 269, 901, 568, 606, 23599, 3575, 23401, 20521, 543, 24036, 602, 6004, 269, 8210, 28727, 568, 849, 3395, 269, 1261, 3081, 646, 729, 2220, 26359, 547, 1332, 873, 676, 519, 1249, 602, 789, 616, 2808, 547, 581, 2564, 2371, 538, 519, 23573, 563, 763, 2371, 616, 849, 4583, 585, 6721, 13526, 6979, 543, 2545, 916, 563, 17457, 13400, 5640, 723, 849, 20483, 6004, 269, 8210, 28727, 779, 3069, 540, 993, 828, 18300, 540, 519, 536, 1023, 600, 540, 717, 850, 611, 1373, 519, 4154, 269, 4515, 269, 1744, 574, 3333, 517, 5484, 962, 12317, 9655, 7699, 267, 689, 519, 26439, 328, 16581, 3194, 4741, 267, 3081, 602, 646, 25541, 930, 2371, 689, 8210, 28727, 779, 3484, 543, 646, 11099, 789, 616, 540, 519, 1482, 3099, 607, 1346, 1031, 538, 3504, 2053, 269, 519, 5584, 832, 685, 2070, 814, 3366, 547, 606, 2333, 540, 3747, 585, 519, 2371, 607, 4948, 25232, 1616, 547, 6633, 873, 547, 27481, 4906, 685, 2012, 563, 16031, 269, 8210, 28727, 3081, 646, 568, 1930, 547, 782, 10764, 607, 646, 6663, 547, 948, 1004, 946, 519, 2371, 538, 513, 17501, 6073, 269, 0, 303, 710, 20625, 630, 2304, 11446, 635, 657, 639, 264, 568, 606, 11212, 8949, 267, 2635, 9341, 4829, 269, 898, 779, 14095, 609, 5567, 267, 14434, 267, 543, 824, 5363, 7135, 267, 971, 607, 11476, 602, 666, 2149, 1996, 6553, 543, 2068, 269, 898, 779, 4122, 13881, 19323, 267, 1989, 2683, 267, 610, 28448, 2759, 563, 11771, 3215, 538, 3162, 3013, 267, 621, 729, 3957, 676, 2038, 3864, 3935, 9088, 585, 922, 11696, 28917, 547, 513, 12566, 13409, 4586, 303, 710, 20625, 543, 922, 7135, 616, 5532, 547, 1896, 1072, 2640, 267, 1519, 9283, 538, 12536, 267, 12046, 267, 543, 6051, 689, 6391, 563, 763, 12566, 20625, 2030, 568, 513, 9341, 4829, 538, 519, 645, 668, 20782, 576, 2801, 1920, 543, 666, 1332, 3833, 1804, 269, 2368, 4529, 946, 519, 12566, 20625, 607, 513, 3090, 540, 1434, 9939, 269, 634, 4829, 12090, 538, 3162, 3013, 543, 729, 3957, 12566, 20625, 1317, 621, 11696, 1194, 513, 12566, 322, 821, 269, 5053, 9518, 626, 611, 832, 3262, 922, 5452, 1472, 519, 1158, 538, 519, 476, 1626, 628, 2540, 267, 543, 1631, 621, 568, 835, 540, 519, 1034, 4922, 3766, 3497, 5613, 538, 519, 1158, 267, 689, 16127, 547, 17289, 547, 519, 13372, 563, 303, 710, 20625, 568, 513, 2067, 2707, 540, 6171, 595, 267, 799, 2337, 547, 5818, 12046, 547, 4339, 6553, 543, 4339, 1055, 5563, 267, 971, 607, 9190, 5563, 1547, 1306, 4411, 543, 2770, 4005, 15155, 1186, 909, 538, 519, 5162, 267, 2348, 1776, 12046, 28967, 8803, 1907, 1318, 538, 519, 10051, 568, 513, 7132, 563, 3080, 7484, 540, 2759, 12566, 20625, 19646, 513, 1713, 2179, 540, 6171, 595, 267, 1634, 585, 922, 15934, 3601, 543, 2702, 547, 4339, 1591, 3441, 269, 589, 1507, 1297, 540, 2090, 723, 6743, 693, 875, 4189, 12566, 20625, 3232, 949, 2569, 519, 6553, 689, 18980, 4345, 543, 11926, 540, 519, 15102, 538, 519, 9224, 269, 634, 28538, 601, 664, 621, 3568, 568, 5140, 585, 707, 4761, 1062, 563, 763, 8324, 543, 6886, 538, 12566, 20625, 849, 1291, 547, 513, 3648, 2539, 1981, 540, 31004, 23979, 1547, 901, 568, 606, 3750, 2068, 602, 1419, 5540, 4587, 1004, 543, 666, 2014, 5075, 2530, 563, 6097, 547, 519, 1977, 5839, 983, 26440, 523, 3130, 7690, 267, 519, 2783, 267, 811, 11342, 538, 8951, 267, 568, 519, 3056, 2014, 540, 5075, 2530, 538, 4587, 4079, 269, 7743, 6484, 568, 1271, 538, 4509, 3750, 1072, 267, 865, 519, 12566, 20625, 779, 3638, 5567, 267, 1519, 25558, 523, 6950, 267, 666, 1404, 513, 11358, 1909, 538, 519, 6604, 543, 8192, 3797, 585, 31004, 23979, 269, 0, 299, 582, 6670, 568, 1022, 540, 513, 3099, 540, 2553, 1031, 547, 15814, 27121, 610, 14998, 950, 519, 3747, 585, 1346, 27121, 610, 14998, 20489, 519, 3761, 269, 634, 16101, 2724, 585, 1034, 13169, 3756, 568, 513, 6871, 540, 519, 2698, 2256, 328, 14186, 689, 19044, 6455, 269, 634, 26065, 666, 2039, 689, 1507, 6666, 5666, 547, 7199, 6517, 610, 5370, 269, 2368, 2829, 1450, 5716, 547, 3442, 741, 1378, 2338, 538, 519, 4126, 540, 10888, 513, 2462, 13544, 13607, 269, 11524, 946, 8579, 2079, 610, 824, 2994, 547, 3589, 519, 10888, 2338, 269, 769, 2901, 2013, 267, 3094, 11789, 616, 2356, 1641, 547, 4747, 9204, 563, 8794, 513, 4351, 1297, 11718, 610, 7421, 3140, 3466, 616, 711, 16798, 547, 1118, 596, 3638, 1107, 621, 779, 811, 1271, 547, 1404, 19100, 1369, 707, 1797, 269, 898, 779, 849, 1271, 547, 1404, 1369, 519, 3652, 543, 6042, 540, 707, 1533, 269, 1411, 666, 1256, 4688, 930, 540, 707, 3094, 11789, 676, 711, 4730, 693, 782, 269, 4892, 6108, 936, 1269, 3199, 9291, 542, 593, 20769, 6670, 1107, 602, 1223, 979, 2509, 2870, 606, 6595, 2508, 610, 9878, 1055, 5491, 3556, 7963, 563, 763, 2338, 3014, 568, 513, 851, 540, 3109, 2528, 543, 4249, 513, 1713, 1909, 538, 1082, 540, 938, 2729, 269, 898, 779, 811, 982, 1175, 13989, 267, 621, 779, 827, 2348, 513, 5326, 543, 3843, 547, 1118, 621, 2097, 3020, 269, 634, 1715, 3840, 20769, 6670, 17358, 713, 543, 7550, 519, 1793, 25830, 2353, 1411, 10261, 1772, 589, 667, 20683, 1656, 589, 14134, 538, 476, 2735, 271, 563, 1103, 519, 476, 1626, 628, 543, 476, 1704, 628, 5553, 621, 729, 1455, 538, 26990, 1495, 344, 543, 674, 1633, 619, 585, 10034, 547, 10891, 1857, 27601, 547, 6318, 2724, 585, 8878, 267, 519, 4057, 267, 543, 824, 2115, 269, 14731, 594, 540, 5333, 5189, 519, 1101, 1533, 24507, 3232, 27601, 538, 519, 476, 5611, 271, 338, 267, 543, 789, 3533, 2968, 2442, 2429, 2342, 269, 0, 305, 664, 28647, 540, 7756, 11352, 538, 4826, 667, 549, 921, 1206, 543, 19371, 645, 1737, 338, 454, 18404, 20631, 17004, 2407, 6221, 2594, 454, 288, 2582, 8086, 540, 7943, 3330, 513, 9991, 986, 785, 1886, 7472, 519, 3119, 22774, 269, 17677, 8086, 3947, 4473, 547, 519, 6281, 22774, 269, 901, 23227, 566, 21410, 519, 6724, 585, 4764, 28647, 540, 519, 1101, 3670, 9753, 269, 1411, 666, 1246, 519, 12345, 607, 789, 616, 18195, 539, 543, 10630, 538, 1216, 20256, 543, 4837, 19273, 547, 1106, 4764, 28647, 540, 1114, 1931, 269, 1411, 666, 1847, 519, 3448, 2990, 540, 519, 3043, 1769, 2707, 1210, 519, 1327, 1807, 269, 0, 9213, 779, 3327, 24785, 7020, 3457, 616, 2500, 267, 22973, 267, 543, 519, 1152, 1797, 547, 3713, 519, 17627, 1652, 267, 13820, 6804, 267, 543, 14686, 3327, 24785, 3154, 563, 6924, 267, 22332, 7089, 540, 16662, 30102, 267, 1875, 1922, 790, 1644, 2910, 13685, 4080, 547, 8914, 454, 1417, 619, 1282, 476, 1220, 271, 268, 1220, 280, 454, 1428, 267, 1822, 20976, 1493, 1297, 540, 1004, 5701, 585, 23139, 2910, 4598, 693, 6595, 11623, 1142, 1032, 630, 9989, 711, 1331, 13685, 602, 941, 7307, 693, 519, 3135, 540, 4598, 994, 275, 4375, 19105, 1297, 540, 2910, 7972, 829, 1032, 20330, 22025, 1113, 2959, 540, 3327, 24785, 666, 581, 1336, 538, 1034, 5321, 267, 1519, 7677, 2167, 267, 3154, 9832, 610, 3434, 25568, 267, 3786, 588, 7174, 267, 18402, 267, 9660, 3819, 619, 543, 6472, 269, 12539, 3933, 6448, 32302, 7933, 25018, 832, 616, 2966, 547, 19334, 1354, 5732, 1272, 18446, 2157, 540, 2910, 616, 6603, 543, 616, 1759, 593, 1079, 2188, 281, 942, 543, 2179, 269, 1403, 1970, 2157, 540, 3327, 24785, 616, 9571, 267, 519, 15372, 786, 711, 5365, 2394, 519, 2157, 616, 9846, 9571, 585, 513, 1974, 540, 942, 1107, 10834, 519, 2910, 2157, 616, 17729, 693, 513, 1377, 543, 8653, 602, 568, 5739, 269, 901, 11151, 519, 1297, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 289, 941, 3989, 676, 1079, 5036, 540, 21056, 563, 288, 9399, 300, 19306, 519, 1611, 3337, 543, 519, 12166, 13260, 540, 513, 2016, 1305, 540, 3403, 22762, 1845, 676, 513, 3908, 1297, 540, 6724, 543, 666, 4061, 581, 1031, 585, 12747, 543, 7347, 3239, 26409, 269, 634, 9399, 300, 540, 519, 13520, 2634, 4294, 538, 713, 960, 729, 4843, 538, 700, 1329, 14551, 630, 1220, 279, 1040, 589, 2143, 6609, 540, 519, 5650, 543, 8100, 547, 824, 4485, 666, 581, 1336, 538, 700, 877, 14982, 630, 1220, 279, 1040, 3776, 4640, 585, 519, 5137, 540, 606, 9399, 300, 689, 1614, 8820, 3239, 1239, 2882, 1896, 3268, 281, 630, 272, 264, 10222, 9771, 7252, 941, 18949, 539, 689, 476, 1626, 16924, 13042, 3239, 588, 2931, 540, 3844, 5778, 335, 2812, 540, 519, 11832, 13520, 269, 769, 4334, 547, 519, 5892, 4843, 15101, 289, 267, 519, 5778, 335, 559, 4831, 12962, 729, 6913, 1210, 476, 276, 260, 12359, 11717, 5835, 269, 4107, 10297, 585, 5778, 335, 2812, 941, 6074, 607, 3989, 538, 519, 15101, 289, 630, 289, 8681, 339, 1696, 620, 1421, 476, 1220, 276, 1040, 634, 11667, 543, 14694, 1608, 344, 806, 540, 1142, 25487, 1560, 941, 5302, 7757, 1510, 30834, 2888, 269, 634, 23726, 543, 13494, 2522, 10981, 525, 941, 711, 3769, 538, 713, 2203, 269, 589, 30834, 1707, 540, 519, 1608, 344, 806, 883, 9067, 267, 27897, 267, 543, 21828, 8258, 729, 711, 5340, 269, 630, 273, 264, 8672, 3562, 15304, 5330, 1878, 941, 3964, 1063, 782, 2866, 7252, 267, 1775, 4318, 1421, 14622, 609, 519, 1482, 4994, 2671, 519, 1482, 26715, 2990, 593, 1142, 2866, 2627, 269, 1677, 3035, 713, 267, 782, 7252, 941, 8449, 15652, 539, 883, 4525, 630, 6312, 2583, 1070, 799, 2099, 4630, 27881, 6211, 735, 25902, 269, 589, 4704, 2627, 2468, 836, 1637, 729, 1287, 25528, 5196, 1142, 2866, 3337, 1210, 2627, 9936, 1436, 2553, 630, 299, 877, 14982, 1696, 620, 1421, 476, 1220, 274, 1040, 630, 274, 264, 2991, 12972, 540, 782, 2866, 5546, 547, 835, 4704, 267, 9030, 5057, 2079, 729, 4294, 593, 519, 1305, 540, 3337, 10321, 8204, 519, 7252, 685, 14584, 10974, 269, 901, 1184, 6383, 519, 9399, 300, 8204, 519, 3328, 3337, 7132, 513, 5276, 4999, 540, 519, 1034, 8984, 12331, 540, 3337, 8390, 630, 27729, 12331, 264, 8659, 538, 519, 2866, 1305, 563, 763, 9399, 300, 2636, 513, 3810, 11741, 6041, 540, 3337, 7648, 1851, 513, 1804, 1297, 540, 2043, 269, 634, 1034, 4101, 1900, 538, 519, 9399, 300, 5108, 568, 519, 8446, 540, 7222, 2798, 630, 21163, 476, 273, 1040, 3776, 1935, 568, 7317, 607, 621, 3322, 8261, 20487, 540, 15429, 6302, 269, 8616, 267, 713, 2636, 519, 2504, 540, 4977, 9399, 16039, 1256, 585, 1360, 1950, 22762, 1845, 609, 1804, 22775, 725, 543, 17062, 1283, 3098, 267, 607, 538, 519, 2013, 540, 519, 13520, 2634, 563, 15862, 26409, 666, 581, 12747, 676, 1210, 513, 1991, 328, 1702, 267, 3226, 827, 22762, 3740, 5546, 543, 8515, 12632, 269, 634, 2489, 2856, 568, 547, 10199, 2990, 606, 9399, 300, 538, 519, 9196, 1239, 543, 13604, 4268, 519, 3337, 6724, 630, 30135, 540, 519, 3337, 12331, 264, 543, 519, 8901, 4087, 2394, 519, 9399, 300, 13292, 519, 1843, 538, 519, 9196, 1239, 607, 5702, 607, 2009, 630, 299, 877, 14982, 267, 476, 1220, 279, 1040, 634, 8515, 14778, 540, 519, 5817, 9196, 1239, 616, 11117, 1472, 519, 1699, 9399, 300, 267, 543, 519, 2627, 540, 519, 9399, 300, 568, 19774, 2687, 547, 513, 1305, 540, 2016, 3652, 3056, 547, 519, 12761, 2203, 267, 799, 786, 581, 5941, 538, 519, 1985, 3296, 269, 3245, 519, 17223, 12761, 267, 1007, 3337, 12035, 610, 1007, 6753, 616, 17223, 269, 901, 5650, 18715, 602, 519, 26409, 8197, 4564, 513, 26363, 3337, 630, 13681, 755, 1145, 1040, 769, 1931, 547, 7753, 2009, 25314, 520, 2583, 1813, 547, 1367, 7648, 711, 9676, 676, 519, 9399, 300, 267, 513, 2022, 3491, 22422, 1900, 2356, 2488, 930, 5386, 25122, 585, 6111, 630, 298, 664, 332, 6686, 28705, 1696, 620, 1421, 476, 1220, 278, 267, 476, 1220, 280, 282, 1530, 574, 1696, 620, 1421, 476, 1220, 279, 1040, 18766, 689, 519, 9399, 300, 3294, 267, 519, 1292, 12146, 568, 513, 4341, 585, 8420, 5217, 519, 9399, 300, 2687, 547, 519, 5817, 9196, 1239, 547, 581, 5302, 7757, 269, 901, 568, 3177, 676, 519, 12761, 2203, 563, 288, 2241, 1505, 585, 7384, 771, 2897, 906, 540, 519, 2627, 2203, 538, 519, 9196, 1239, 568, 547, 3313, 513, 3339, 12761, 585, 1142, 14584, 540, 519, 2203, 971, 602, 519, 1007, 14584, 2990, 14626, 1938, 609, 513, 2178, 13506, 538, 519, 9196, 1239, 269, 3371, 267, 519, 1152, 13429, 1500, 568, 602, 1843, 6302, 538, 519, 9196, 1239, 616, 10630, 676, 1713, 2199, 7648, 538, 519, 3239, 8515, 269, 769, 519, 2013, 540, 1476, 5914, 9196, 540, 13520, 12058, 811, 1344, 827, 519, 9196, 1184, 666, 581, 3769, 538, 1931, 547, 13217, 713, 2203, 269, 6270, 24909, 723, 1044, 6069, 676, 3026, 340, 6975, 630, 1220, 278, 264, 543, 590, 5424, 630, 1220, 279, 264, 585, 1114, 9196, 10873, 563, 15899, 29705, 9179, 4255, 616, 1031, 547, 7447, 875, 28761, 519, 9399, 300, 2861, 26409, 540, 519, 13520, 2634, 15824, 538, 2259, 269, 769, 519, 4734, 14633, 13050, 1449, 835, 3239, 568, 6569, 689, 519, 2866, 1305, 267, 543, 513, 9819, 568, 5340, 547, 3313, 875, 8308, 513, 4389, 9399, 300, 267, 799, 568, 9112, 689, 519, 6967, 2592, 267, 666, 581, 9862, 547, 602, 6569, 3239, 269, 634, 2702, 540, 519, 2203, 547, 4766, 17062, 5546, 568, 4330, 607, 1264, 28467, 610, 1252, 1275, 269, 769, 1931, 547, 7447, 519, 2298, 540, 519, 12761, 3631, 630, 842, 3748, 9043, 2079, 264, 4734, 22433, 2987, 4255, 941, 5340, 269, 769, 4334, 547, 519, 4734, 14633, 13050, 1449, 267, 519, 1634, 3239, 568, 711, 6569, 689, 519, 9399, 300, 269, 901, 1259, 519, 2773, 540, 519, 12761, 4640, 666, 581, 6027, 267, 9674, 689, 519, 2298, 540, 519, 9399, 300, 3294, 563, 9288, 9778, 585, 519, 1611, 543, 31062, 2627, 3845, 941, 7229, 1210, 519, 2549, 4275, 17183, 291, 2700, 9074, 269, 901, 9074, 1939, 525, 1896, 1114, 3845, 3800, 1063, 1079, 7252, 269, 634, 1739, 3800, 941, 17223, 689, 519, 27008, 540, 891, 2418, 281, 1611, 3845, 543, 3044, 11539, 282, 3597, 1611, 4009, 3845, 282, 5021, 3845, 630, 295, 9476, 323, 528, 742, 3845, 5148, 31443, 3845, 282, 1858, 11539, 630, 704, 1417, 720, 540, 1858, 602, 1821, 28179, 811, 982, 513, 2016, 12939, 1916, 10303, 519, 14261, 1184, 568, 1759, 593, 6003, 4610, 267, 519, 5778, 335, 2812, 723, 547, 581, 26911, 538, 971, 513, 1259, 602, 5778, 335, 559, 10665, 666, 581, 4857, 543, 5302, 7757, 269, 1284, 1101, 4294, 606, 17193, 1996, 5348, 2355, 514, 799, 23182, 25859, 5778, 335, 2812, 10053, 538, 5348, 22663, 267, 543, 3976, 24716, 922, 8473, 547, 4478, 5160, 630, 289, 8681, 339, 1696, 620, 1421, 476, 1220, 276, 1040, 589, 12863, 1505, 3322, 9196, 519, 1313, 1993, 1663, 2803, 12412, 540, 519, 5160, 13251, 676, 22965, 541, 531, 24957, 269, 2290, 1223, 849, 3986, 519, 1313, 1993, 1663, 2803, 12412, 1210, 24470, 971, 607, 12359, 11717, 5835, 269, 12359, 11717, 5835, 28969, 267, 1498, 4389, 538, 4334, 3379, 547, 519, 5348, 2355, 514, 17193, 28969, 267, 2636, 811, 4028, 543, 4443, 1277, 1670, 4393, 269, 898, 2417, 30397, 27090, 3889, 538, 1454, 811, 1469, 982, 1313, 1993, 1663, 2803, 12412, 267, 543, 2164, 538, 4630, 18100, 28969, 2429, 519, 2634, 563, 763, 4161, 585, 13321, 11409, 883, 519, 1455, 7406, 540, 519, 15101, 289, 630, 8201, 630, 8201, 272, 264, 272, 264, 568, 547, 10126, 519, 2347, 30123, 5306, 540, 1142, 22813, 693, 1970, 6571, 1927, 609, 922, 8901, 1894, 547, 11105, 3889, 630, 21865, 6591, 676, 1164, 22822, 22794, 264, 971, 602, 513, 2112, 4771, 5690, 2636, 585, 5730, 12805, 1063, 5439, 689, 1114, 1367, 12058, 563, 1103, 7612, 7612, 2420, 1896, 1806, 540, 11409, 616, 3254, 267, 1142, 31827, 689, 513, 1114, 7041, 267, 543, 1142, 2348, 1044, 14384, 9927, 883, 519, 15101, 289, 269, 1677, 7001, 782, 2694, 540, 513, 22813, 693, 1114, 21368, 267, 1896, 1476, 5914, 18767, 941, 2556, 269, 901, 13514, 519, 1966, 540, 11578, 532, 1896, 6003, 4610, 3056, 547, 7766, 6959, 1282, 1483, 9892, 540, 782, 2694, 540, 519, 22813, 602, 18645, 1282, 519, 14261, 3157, 267, 799, 949, 16578, 13742, 693, 519, 8728, 540, 519, 6003, 4610, 630, 9802, 324, 1696, 620, 1421, 476, 1220, 277, 1040, 634, 4640, 1031, 585, 1142, 540, 519, 1806, 540, 7612, 7612, 2420, 729, 547, 1101, 11571, 606, 7650, 540, 519, 2634, 5627, 519, 2898, 22813, 267, 543, 1287, 18949, 519, 1292, 2694, 540, 519, 22813, 269, 2991, 2072, 267, 519, 22813, 781, 4525, 540, 1719, 267, 585, 1383, 267, 519, 27765, 26578, 3529, 540, 519, 700, 274, 22813, 267, 941, 18949, 539, 689, 1164, 22822, 18767, 630, 8201, 630, 8201, 273, 289, 1070, 273, 289, 1070, 17498, 322, 4705, 267, 13988, 267, 543, 24673, 547, 519, 1292, 22813, 18949, 539, 689, 1970, 6571, 18767, 269, 8061, 9911, 602, 616, 3361, 676, 1210, 1896, 4830, 4525, 540, 519, 1482, 22813, 538, 1896, 3268, 540, 14261, 616, 6854, 547, 513, 5934, 269, 1306, 513, 1267, 267, 519, 8901, 6111, 540, 519, 2112, 4771, 1184, 568, 8476, 269, 901, 27952, 5650, 2636, 721, 547, 17492, 7135, 540, 7373, 5928, 693, 1114, 2157, 540, 6571, 267, 585, 1383, 267, 519, 3077, 2127, 540, 10153, 16371, 543, 2964, 657, 29022, 954, 928, 584, 976, 630, 288, 328, 1696, 620, 1421, 476, 1220, 280, 264, 538, 1016, 2958, 687, 540, 519, 1486, 334, 576, 516, 13887, 27914, 630, 541, 4900, 538, 7612, 7612, 273, 288, 264, 273, 288, 264, 1927, 609, 7373, 5928, 693, 1164, 6571, 540, 741, 5386, 3889, 585, 519, 2079, 540, 741, 2199, 30490, 2934, 630, 8993, 999, 630, 8993, 999, 273, 290, 267, 291, 1040, 273, 290, 267, 291, 1040, 634, 7260, 540, 24045, 1570, 590, 274, 543, 519, 7317, 13156, 7154, 538, 519, 7300, 3758, 630, 8201, 630, 8201, 273, 288, 264, 273, 288, 264, 2636, 14839, 540, 519, 11409, 685, 8901, 3347, 563, 15307, 26305, 519, 6111, 540, 519, 14261, 1184, 568, 513, 2352, 4305, 269, 15742, 569, 267, 519, 1184, 3322, 3875, 3268, 267, 799, 616, 12155, 547, 16578, 538, 3147, 340, 20874, 630, 5408, 1657, 1040, 1280, 1383, 267, 519, 1277, 1670, 5650, 949, 16578, 4756, 1253, 25344, 1813, 547, 2199, 16756, 720, 3604, 602, 616, 711, 4628, 9104, 730, 676, 519, 3413, 710, 543, 13412, 14261, 269, 634, 4603, 518, 949, 711, 10126, 7157, 282, 519, 1297, 540, 6003, 4610, 630, 663, 267, 3976, 267, 519, 1297, 540, 7373, 5928, 3268, 264, 543, 3976, 1253, 25344, 540, 519, 18949, 539, 7252, 540, 5778, 335, 2812, 543, 11409, 786, 1291, 547, 11234, 6753, 540, 519, 9927, 22813, 538, 519, 15101, 289, 269, 769, 1840, 267, 519, 5778, 335, 2812, 543, 11409, 2933, 786, 8428, 689, 3662, 547, 3662, 267, 543, 621, 568, 713, 13260, 602, 11887, 519, 4909, 3970, 3823, 519, 10727, 540, 1022, 2634, 693, 20393, 1107, 16310, 519, 27696, 2042, 269, 4475, 267, 621, 568, 711, 2009, 547, 17589, 513, 2268, 540, 10727, 538, 519, 5888, 540, 11409, 10805, 18615, 569, 883, 519, 2634, 693, 20393, 269, 634, 1655, 1259, 540, 10992, 519, 8901, 6111, 540, 971, 11409, 568, 676, 9236, 519, 3448, 7158, 540, 519, 22813, 547, 519, 5778, 335, 559, 8473, 3515, 538, 519, 3312, 7041, 547, 519, 3510, 1310, 519, 14261, 1184, 269, 1284, 1683, 5926, 656, 658, 2963, 585, 519, 10727, 540, 519, 26409, 543, 14261, 1184, 676, 10503, 606, 1383, 538, 799, 649, 3379, 519, 6753, 540, 29296, 569, 26911, 11409, 609, 3444, 6810, 538, 1164, 22822, 2802, 2643, 7086, 622, 3613, 7134, 1612, 3530, 514, 6810, 1210, 1079, 1114, 14261, 2409, 563, 1103, 7612, 7612, 3451, 513, 10805, 10153, 16371, 16879, 22813, 630, 299, 276, 264, 568, 3308, 1242, 1927, 609, 513, 10805, 2802, 2643, 7086, 622, 3296, 6029, 4571, 28090, 4525, 630, 332, 2313, 3336, 4703, 267, 3844, 1560, 267, 543, 1486, 334, 576, 516, 13887, 27914, 1040, 634, 2802, 2643, 7086, 622, 1505, 630, 310, 24513, 956, 10290, 267, 476, 4198, 278, 264, 2488, 2143, 1344, 827, 519, 8849, 6189, 13031, 519, 5888, 540, 5778, 335, 2812, 267, 1474, 1092, 267, 543, 8778, 338, 267, 3976, 13830, 519, 8901, 2796, 1344 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16824, 3282, 543, 519, 5452, 2933, 267, 607, 1134, 607, 538, 519, 1106, 540, 8869, 7594, 563, 1692, 594, 8057, 5144, 555, 16824, 454, 296, 11751, 5452, 585, 521, 12976, 693, 519, 26849, 267, 711, 2731, 15691, 585, 519, 1967, 540, 519, 23072, 267, 6065, 1154, 741, 23286, 269, 1809, 519, 12194, 5828, 856, 547, 581, 538, 642, 664, 267, 2094, 519, 5452, 5795, 476, 1911, 260, 23286, 269, 1656, 713, 267, 607, 621, 5828, 856, 267, 1185, 513, 2942, 2427, 585, 803, 269, 634, 1249, 568, 602, 594, 1705, 711, 723, 1995, 538, 3395, 5144, 555, 16824, 267, 543, 594, 1705, 711, 917, 1018, 621, 5654, 899, 538, 519, 4677, 563, 296, 521, 15735, 519, 1259, 594, 521, 15735, 513, 30011, 267, 609, 10616, 1063, 519, 2371, 476, 2412, 343, 2004, 4699, 269, 1879, 519, 2371, 4646, 513, 887, 3553, 974, 540, 2185, 3020, 3762, 267, 621, 5828, 856, 602, 789, 4988, 519, 3003, 9544, 1858, 543, 6743, 1360, 11141, 269, 27202, 17953, 344, 15254, 20672, 730, 3762, 941, 1175, 513, 23732, 540, 519, 4677, 563, 2026, 519, 555, 16824, 8057, 267, 621, 5828, 883, 513, 3532, 2030, 267, 543, 950, 519, 1292, 6565, 8057, 267, 621, 2968, 1360, 22125, 538, 519, 4677, 269, 898, 781, 513, 533, 640, 267, 855, 519, 2371, 1185, 547, 581, 1219, 4310, 269, 5047, 267, 621, 729, 711, 865, 2653, 547, 960, 281, 519, 555, 1941, 344, 2030, 2838, 960, 609, 5394, 17309, 269, 898, 729, 4277, 547, 7747, 519, 30226, 619, 538, 1250, 4677, 267, 543, 519, 12543, 267, 7487, 5458, 267, 2147, 538, 2450, 547, 519, 22800, 21002, 4169, 5432, 547, 3025, 267, 855, 1152, 519, 4190, 19481, 3762, 540, 519, 5144, 555, 16824, 267, 941, 5461, 281, 1018, 2186, 540, 3304, 9317, 2030, 888, 19853, 7279, 8694, 607, 4166, 607, 594, 4280, 873, 547, 5905, 519, 2030, 267, 543, 621, 729, 18473, 543, 11213, 1317, 540, 519, 5247, 985, 563, 298, 8636, 839, 585, 9042, 28523, 625, 585, 9042, 32130, 585, 9042, 454, 763, 1747, 585, 519, 5144, 555, 16824, 729, 6074, 13566, 267, 594, 2141, 798, 713, 950, 9544, 513, 1007, 2030, 585, 8885, 269, 1656, 713, 942, 594, 6785, 602, 519, 2030, 729, 689, 7013, 4234, 6421, 267, 543, 519, 3037, 729, 1134, 4904, 609, 5214, 2339, 267, 799, 267, 15151, 267, 4299, 519, 2164, 563, 300, 20488, 555, 16824, 8057, 3533, 267, 922, 1292, 6565, 2907, 6603, 513, 4463, 540, 476, 10204, 268, 5197, 4699, 267, 519, 2030, 3294, 6743, 1360, 11141, 267, 594, 1131, 1256, 2161, 910, 23836, 269, 3509, 15496, 30504, 4646, 267, 543, 782, 519, 30504, 540, 519, 1292, 6565, 267, 535, 8172, 2476, 267, 5795, 22691, 5452, 540, 513, 4158, 2681, 269, 634, 14694, 11710, 849, 1185, 1082, 5810, 267, 543, 519, 5452, 941, 13615, 267, 855, 676, 15489, 789, 1705, 711, 723, 942, 547, 18009, 523, 563, 8624, 22162, 519, 5452, 540, 713, 2030, 849, 814, 922, 1378, 25727, 269, 3689, 540, 782, 267, 596, 1058, 1376, 10655, 5452, 538, 3735, 4864, 910, 4571, 4149, 324, 4697, 267, 950, 519, 12109, 13827, 593, 519, 535, 12184, 30504, 3819, 909, 269, 898, 568, 1732, 547, 1376, 16276, 2038, 538, 519, 6640, 267, 950, 519, 30504, 723, 711, 2943, 19806, 15701, 267, 2094, 267, 2348, 19806, 15701, 267, 519, 5452, 8038, 2476, 593, 741, 1612, 778, 2373, 609, 31830, 338, 540, 2842, 563, 5475, 5969, 519, 30504, 267, 594, 12015, 873, 10123, 267, 15685, 519, 5452, 689, 519, 1612, 778, 1393, 2770, 742, 338, 543, 3576, 873, 856, 540, 519, 30504, 3006, 609, 4674, 267, 2094, 789, 1694, 972, 3833, 17401, 269, 681, 6559, 5452, 616, 4158, 538, 2681, 267, 543, 796, 686, 701, 5452, 616, 12779, 267, 3592, 3043, 267, 2705, 267, 899, 1346, 540, 30011, 563, 5331, 1250, 9983, 950, 519, 1985, 1032, 267, 543, 538, 782, 7766, 1296, 267, 538, 519, 5614, 267, 594, 1336, 519, 24111, 5144, 555, 16824, 538, 835, 610, 1776, 851, 540, 519, 4677, 267, 4352, 594, 1705, 711, 30889, 621, 972, 269, 901, 1797, 602, 519, 5452, 267, 22502, 538, 519, 2842, 543, 9991, 883, 519, 3037, 267, 1287, 17708, 1540, 676, 1582, 1606, 12976, 543, 8057, 3833, 6707, 269, 1809, 952, 519, 1747, 729, 695, 8014, 267, 1287, 519, 2030, 8057, 547, 922, 8912, 2450, 543, 16036, 539, 267, 855, 519, 3141, 729, 711, 2614, 547, 18009, 523, 519, 5452, 563, 8469, 545, 1400, 3096, 540, 5144, 555, 16824, 454, 5804, 519, 3332, 594, 917, 602, 519, 16392, 6151, 2326, 540, 5144, 555, 16824, 616, 5452, 267, 5072, 543, 1256, 3762, 269, 634, 5452, 616, 12015, 267, 6740, 538, 11435, 543, 1031, 607, 513, 1232, 334, 794, 267, 512, 3307, 675, 610, 8869, 547, 1521, 6797, 6553, 543, 15254, 545, 846, 15532, 538, 519, 2539, 17119, 885, 563, 2414, 5965, 513, 1232, 334, 794, 267, 476, 1789, 575, 540, 32314, 5452, 616, 23953, 883, 476, 272, 270, 273, 561, 540, 3905, 1216, 267, 23017, 538, 513, 1216, 8602, 2394, 519, 2179, 540, 1216, 568, 10300, 1386, 267, 1287, 22012, 998, 476, 273, 268, 274, 6106, 540, 12238, 2763, 269, 6875, 476, 272, 512, 26138, 269, 22635, 538, 606, 5662, 269, 634, 1576, 540, 2126, 568, 476, 272, 268, 273, 3275, 563, 291, 787, 6079, 8869, 568, 3144, 476, 272, 23188, 476, 275, 268, 276, 2053, 513, 1554, 476, 736, 3764, 1354, 6980, 563, 6546, 781, 4010, 1018, 594, 1705, 281, 594, 3893, 519, 8869, 689, 519, 10365, 1210, 513, 6995, 32291, 269, 634, 2783, 540, 519, 6797, 568, 5355, 267, 594, 917, 689, 1250, 1378, 1995, 267, 2094, 5144, 555, 16824, 21339, 2333, 519, 5250, 543, 608, 17917, 540, 23925, 267, 2333, 519, 8825, 3601, 540, 519, 6797, 538, 6935, 547, 1585, 5686, 540, 5563, 543, 15464, 563, 296, 4121, 602, 5144, 555, 16824, 5072, 616, 25653, 909, 538, 519, 2887, 267, 695, 2586, 1055, 519, 2666, 267, 18233, 538, 4411, 1216, 543, 12015, 538, 519, 3141, 610, 538, 513, 3819, 518, 693, 513, 2837, 540, 476, 2412, 268, 2004, 11019, 595, 269, 15188, 538, 513, 6806, 4837, 8708, 585, 835, 1032, 269, 589, 1232, 334, 794, 540, 519, 5072, 568, 5423, 693, 519, 2557, 540, 476, 272, 512, 26138, 269, 513, 22635, 995, 540, 6151, 2326, 585, 476, 272, 7484, 540, 14495, 1216, 269, 2353, 713, 568, 23017, 538, 513, 20177, 19596, 12826, 538, 513, 1216, 8602, 585, 476, 1789, 3764, 267, 22012, 3905, 998, 476, 273, 268, 274, 6106, 540, 12238, 2763, 267, 17065, 7458, 856, 543, 519, 4320, 540, 23017, 1216, 568, 4547, 547, 519, 3312, 269, 6875, 476, 272, 512, 26138, 269, 22635, 1614, 2053, 3232, 1354, 6980, 563, 1103, 12563, 16909, 4915, 267, 513, 1232, 334, 794, 540, 519, 5072, 568, 1031, 585, 5694, 5995, 607, 513, 27125, 267, 585, 13165, 267, 17256, 12802, 267, 1414, 1738, 320, 543, 5996, 6160, 687, 269, 634, 10433, 540, 519, 3762, 568, 26583, 585, 19228, 267, 6553, 540, 519, 3935, 543, 23441, 11940, 6242, 563, 8450, 849, 281, 19663, 5144, 555, 16824, 630, 306, 1176, 321, 636, 544, 4115, 636, 264, 0, 5278, 4388, 593, 1603, 4574, 630, 2181, 335, 1563, 543, 4843, 676, 7917, 674, 269, 13879, 2187, 268, 20472, 532, 606, 4661, 281, 24269, 596, 1118, 513, 2489, 3948, 630, 320, 3409, 1070, 596, 1058, 9414, 621, 609, 1808, 1806, 630, 5271, 2064, 1070, 1287, 2491, 519, 3095, 1063, 519, 1079, 269, 1280, 1383, 267, 596, 1522, 1459, 513, 2686, 2203, 4553, 676, 32461, 689, 606, 5967, 609, 1978, 2453, 12006, 543, 1287, 2491, 875, 519, 12006, 2453, 1683, 2963, 585, 519, 2203, 269, 589, 3621, 4661, 568, 513, 5832, 540, 6811, 543, 2963, 563, 268, 13419, 1005, 707, 1957, 281, 2755, 3594, 616, 5258, 883, 9433, 267, 3621, 4574, 616, 849, 5258, 883, 6810, 269, 2422, 26333, 585, 1142, 3296, 547, 1118, 519, 2497, 540, 707, 1957, 2312, 269, 1411, 666, 946, 2596, 26333, 630, 7072, 267, 13517, 267, 5811, 267, 10390, 1070, 855, 22521, 26333, 630, 299, 1933, 532, 519, 667, 880, 13195, 615, 267, 634, 7698, 12745, 540, 23556, 532, 519, 2961, 267, 634, 8376, 7844, 267, 634, 7731, 7844, 267, 9534, 9737, 519, 17738, 267, 3092, 4700, 616, 811, 13181, 563, 268, 4045, 532, 547, 519, 13220, 281, 6153, 2053, 547, 1921, 547, 519, 13220, 616, 950, 10747, 2474, 610, 2035, 630, 3697, 834, 322, 4321, 2203, 257, 610, 834, 26262, 889, 915, 2032, 19823, 950, 26500, 513, 1455, 1275, 609, 2576, 3116, 781, 960, 630, 324, 3052, 269, 519, 28477, 7844, 540, 519, 9650, 5526, 538, 707, 1239, 1070, 610, 950, 1210, 2409, 6964, 676, 2576, 3116, 630, 324, 3052, 269, 6153, 7773, 781, 16606, 10325, 1040, 1452, 1919, 1419, 2097, 909, 538, 519, 4367, 543, 2079, 6810, 540, 513, 1957, 563, 268, 4635, 8100, 281, 7102, 5503, 596, 1118, 513, 4276, 547, 519, 13220, 267, 596, 1058, 2285, 513, 11239, 1519, 519, 2278, 781, 2012, 543, 1032, 540, 519, 8313, 269, 1280, 1383, 267, 596, 1522, 2328, 1412, 1607, 12211, 547, 519, 28477, 7844, 540, 519, 9650, 630, 291, 262, 4517, 8565, 476, 1960, 275, 1040, 262, 1879, 844, 7627, 267, 849, 1039, 519, 2985, 1297, 281, 1412, 288, 2686, 2203, 568, 834, 320, 5042, 28203, 602, 568, 954, 11357, 915, 1947, 3838, 257, 630, 291, 262, 4517, 8565, 476, 1960, 275, 267, 533, 269, 476, 3607, 1040, 262, 3973, 1331, 513, 1592, 540, 834, 27066, 257, 610, 834, 17582, 24764, 257, 693, 519, 1439, 540, 707, 1957, 269, 25767, 519, 3898, 689, 835, 540, 519, 4930, 538, 519, 5467, 563, 268, 3798, 1746, 543, 6169, 15105, 281, 1403, 2009, 267, 723, 2576, 3116, 1224, 707, 1957, 543, 454, 326, 633, 596, 5955, 593, 1018, 781, 14845, 267, 1018, 2115, 811, 2963, 267, 1018, 4667, 454, 684, 22366, 267, 3092, 269, 3973, 12575, 707, 1957, 630, 5417, 267, 18419, 267, 610, 1689, 1257, 1040, 7053, 2676, 16513, 1348, 707, 1957, 630, 13765, 585, 9073, 538, 18685, 267, 10259, 267, 2262, 3903, 2676, 31756, 4700, 610, 723, 2576, 6169, 1348, 621, 585, 596, 563, 268, 4635, 12222, 281, 1403, 596, 1331, 513, 6516, 267, 581, 2386, 547, 3277, 547, 707, 6516, 12799, 865, 519, 5467, 6487, 621, 781, 972, 269, 1411, 798, 713, 676, 20803, 707, 6516, 630, 8201, 476, 272, 264, 543, 13288, 547, 621, 538, 519, 1560, 540, 707, 1957, 269, 1280, 1383, 267, 596, 1223, 2161, 267, 834, 763, 7731, 7844, 568, 3254, 538, 7612, 476, 272, 257, 610, 1175, 2161, 834, 763, 7731, 7844, 630, 8201, 476, 272, 264, 2982, 602, 2560, 834, 269, 4746, 267, 2141, 2491, 707, 12222, 734, 6866, 8263, 602, 789, 666, 1796, 4805, 610, 616, 1582, 7721, 17839, 2218, 269, 0, 292, 2675, 615, 747, 807, 19546, 2201, 27033, 27163, 543, 6090, 454, 20597, 23981, 853, 7564, 978, 269, 30446, 9931, 4432, 770, 766, 4438, 10426, 633, 20996, 20764, 7976, 281, 1323, 20010, 29138, 634, 32286, 1105, 2801, 534, 17774, 2772, 20962, 584, 4783, 281, 606, 4244, 8367, 1759, 593, 3371, 267, 649, 4434, 606, 4244, 7778, 1759, 593, 519, 6284, 602, 519, 590, 26223, 330, 3331, 370, 951, 7564, 1777, 940, 1285, 1412, 531, 1181, 894, 8367, 262, 910, 1266, 1564, 19241, 1606, 26223, 19241, 20750, 1731, 517, 1199, 544, 18033, 978, 320, 1166, 518, 3331, 370, 951, 7564, 1777, 940, 541, 9992, 18033, 333, 1266, 1564, 6390, 11489, 521, 26223, 6390, 11815, 529, 2228, 269, 1879, 1031, 267, 519, 14275, 8367, 568, 16912, 539, 3020, 2394, 8579, 2963, 538, 519, 1106, 540, 513, 8367, 1449, 6920, 6382, 269, 4475, 267, 519, 14275, 543, 519, 4244, 968, 516, 915, 519, 4244, 8367, 892, 3331, 353, 337, 8771, 533, 18033, 27615, 526, 1285, 1140, 5492, 652, 652, 564, 3046, 320, 579, 1777, 531, 541, 521, 580, 9631, 562, 3326, 1506, 335, 4925, 523, 703, 324, 9631, 3954, 3124, 520, 10216, 3834, 4925, 523, 269, 476, 1724, 269, 6349, 563, 268, 7780, 4133, 6390, 513, 19241, 1512, 2588, 23437, 940, 454, 268, 22050, 4592, 330, 641, 328, 9207, 7238, 330, 940, 454, 268, 594, 3316, 3898, 838, 664, 454, 268, 2473, 8457, 513, 19241, 773, 7564, 326, 732, 454, 268, 23582, 1359, 737, 528, 454, 268, 918, 770, 11663, 754, 564, 554, 8114, 1143, 523, 454, 553, 323, 331, 330, 553, 323, 331, 325, 333, 330, 329, 769, 10803, 267, 950, 649, 798, 29138, 13281, 267, 649, 616, 9277, 547, 723, 1079, 19165, 281, 589, 3119 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 15865, 9124, 547, 2671, 741, 2833, 269, 9608, 6386, 948, 2736, 1524, 7496, 543, 6536, 4296, 1063, 1004, 945, 949, 6382, 1745, 9678, 610, 29144, 563, 274, 269, 32754, 8537, 4507, 281, 5917, 11229, 585, 12581, 2853, 1369, 3506, 267, 28737, 267, 543, 2950, 269, 3550, 602, 4507, 5447, 609, 3656, 4170, 630, 324, 3052, 1421, 5084, 288, 1070, 1683, 7850, 2200, 585, 22098, 13668, 267, 543, 5000, 1930, 5188, 827, 15865, 9124, 780, 3528, 3695, 519, 10848, 540, 15865, 9124, 267, 649, 2744, 3407, 4030, 883, 519, 3309, 2833, 540, 16981, 2043, 269, 3776, 15398, 4656, 16877, 721, 547, 1711, 11215, 5054, 1141, 3025, 7959, 2938, 267, 4862, 267, 543, 12595, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 16240, 1299, 31898, 7595, 476, 272, 281, 1948, 5591, 28694, 3674, 11514, 1842, 762, 281, 634, 31898, 7595, 540, 26225, 257, 5497, 585, 1164, 1153, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 4197, 9659, 2580, 834, 274, 269, 26225, 543, 2029, 2580, 834, 275, 269, 26225, 543, 2528, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 276, 269, 26225, 543, 519, 1560, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 276, 269, 272, 269, 11671, 323, 1751, 543, 5312, 4576, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 276, 269, 273, 269, 769, 6665, 1043, 9124, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8196, 1893, 543, 1806, 602, 1131, 9305, 609, 18295, 1053, 13326, 3872, 22759, 609, 10333, 269, 634, 3804, 568, 547, 1118, 519, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 269, 0, 4495, 2390, 513, 942, 267, 538, 519, 1164, 9390, 2197, 540, 519, 1977, 4639, 267, 972, 5030, 513, 8797, 2025, 27041, 20815, 3957, 6428, 269, 2701, 1185, 11542, 7381, 543, 2178, 585, 936, 513, 4627, 1296, 267, 3246, 12062, 543, 29454, 547, 9118, 7068, 945, 1572, 1200, 1753, 269, 7324, 1200, 1034, 19644, 2828, 941, 513, 1920, 540, 27041, 1423, 572, 910, 667, 611, 717, 639, 267, 16474, 3794, 12629, 267, 543, 741, 1079, 1762, 32138, 267, 13983, 3279, 543, 29775, 822, 269, 8528, 21946, 1185, 4767, 1082, 2242, 2429, 1200, 1279, 1272, 855, 9039, 865, 27290, 607, 1346, 1352, 14754, 538, 2487, 2053, 269, 12736, 1562, 8057, 10156, 267, 5614, 3357, 4505, 267, 543, 28782, 1085, 528, 3481, 899, 2760, 1354, 269, 1452, 4028, 10593, 4547, 827, 1007, 2591, 711, 1175, 585, 22800, 6428, 855, 849, 585, 1200, 11537, 1423, 572, 1920, 780, 3080, 1554, 267, 1247, 7234, 891, 4145, 896, 6428, 781, 8825, 8371, 267, 789, 8068, 23661, 16714, 543, 546, 13388, 1782, 1216, 2959, 1472, 873, 269, 834, 5978, 2899, 18932, 1753, 568, 7432, 883, 606, 25545, 729, 339, 14657, 2437, 521, 19042, 6428, 780, 291, 611, 717, 639, 14452, 14126, 569, 267, 834, 29012, 267, 621, 4667, 865, 269, 3776, 2757, 8023, 12406, 616, 7106, 8960, 267, 1818, 621, 2352, 585, 721, 547, 1265, 2614, 1426, 3010, 300, 558, 3794, 12629, 3773, 267, 834, 4517, 1510, 7850, 3382, 689, 27041, 20815, 267, 938, 32138, 1831, 2653, 10352, 1701, 8479, 13983, 3279, 16403, 539, 538, 267, 834, 8133, 267, 1256, 1631, 649, 723, 3323, 4955, 7992, 19692, 982, 8912, 1813, 547, 20437, 4365, 15323, 306, 19488, 267, 513, 627, 20071, 13388, 14736, 539, 909, 7452, 267, 28817, 10690, 19211, 543, 1000, 12127, 269, 898, 12306, 1524, 13031, 513, 530, 1176, 31352, 1774, 3957, 595, 297, 267, 25337, 585, 1010, 521, 569, 15361, 543, 1202, 520, 4192, 14000, 269, 1261, 6743, 8288, 337, 1176, 693, 519, 7925, 4816, 1423, 4513, 269, 11576, 532, 8594, 267, 6428, 2909, 1027, 9887, 2149, 1947, 780, 290, 297, 14229, 1229, 267, 834, 16100, 693, 596, 782, 554, 3291, 1194, 1927, 256, 2279, 12295, 540, 9561, 707, 10475, 25113, 8119, 2060, 513, 1159, 25184, 267, 646, 4797, 267, 834, 11039, 267, 3884, 1405, 602, 1175, 1932, 3983, 286, 8693, 1689, 3085, 1405, 1416, 827, 707, 12194, 610, 2115, 10590, 1656, 1055, 646, 7708, 339, 1540, 267, 6028, 3297, 513, 6531, 540, 7452, 543, 4250, 780, 1607, 7237, 695, 809, 3025, 269, 1358, 7691, 602, 741, 2042, 14201, 1405, 9678, 282, 789, 10562, 609, 1346, 540, 824, 11317, 540, 519, 5117, 269, 901, 17275, 513, 8990, 1369, 873, 547, 957, 29050, 2864, 982, 14350, 780, 29310, 267, 789, 4956, 547, 13599, 1866, 827, 741, 726, 697, 543, 21821, 948, 269, 6428, 3838, 1200, 7326, 3823, 519, 4657, 1604, 267, 1247, 519, 1423, 4513, 6045, 875, 741, 6668, 31030, 593, 2635, 27041, 20815, 9249, 269, 4256, 5048, 6949, 730, 7184, 1851, 824, 2831, 6849, 2147, 2152, 780, 2026, 2262, 3262, 267, 1004, 3459, 2921, 5469, 269, 10871, 5726, 1235, 15748, 3785, 547, 11177, 8697, 3338, 267, 2030, 811, 5065, 10664, 267, 543, 1711, 3595, 3691, 6545, 547, 2061, 14042, 11642, 269, 12207, 6594, 9194, 3270, 547, 1732, 1174, 543, 11574, 21463, 3361, 676, 13346, 12405, 780, 4913, 267, 711, 3388, 5828, 856, 9797, 269, 2368, 3425, 7283, 967, 27075, 267, 11173, 2238, 602, 28978, 2916, 1689, 269, 674, 2231, 1869, 986, 3022, 12212, 267, 8781, 1804, 2220, 520, 1127, 540, 4105, 9249, 269, 8616, 267, 5103, 22303, 267, 4126, 7173, 9229, 780, 7437, 9322, 267, 1620, 267, 543, 2962, 267, 6428, 543, 1200, 2828, 7307, 547, 1118, 1713, 3356, 2509, 8497, 741, 17866, 1158, 269, 1358, 4121, 3407, 4245, 827, 6043, 267, 9316, 267, 543, 8296, 269, 4107, 11932, 267, 789, 6956, 602, 1169, 13442, 20974, 1229, 543, 5129, 513, 1909, 538, 4509, 8733, 3666, 780, 5804, 1287, 593, 267, 8164, 12219, 267, 3079, 540, 13151, 17741, 547, 21817, 267, 789, 8359, 17604, 267, 22348, 2933, 540, 1018, 1223, 581, 6913, 950, 12271, 10726, 1927, 585, 513, 1455, 2014, 269, 2991, 782, 267, 1256, 513, 5318, 267, 9583, 1045, 4532, 1043, 11769, 899, 2916, 1689, 7948, 1405, 2736, 519, 7554, 4646, 998, 8994, 2463, 267, 2648, 267, 543, 7104, 786, 12741, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 1281, 2916, 1689, 1860, 27041, 20815, 17466, 3662, 2249, 888, 20458, 1689, 5540, 27041, 20815, 17466, 3662, 2249, 538, 1896, 2081, 971, 607, 1384, 272, 269, 22159, 540, 26335, 281, 9603, 547, 2916, 1689, 267, 519, 27041, 20815, 5117, 568, 4742, 5671, 518, 543, 28555, 267, 4929, 519, 5786, 540, 27041, 20815, 3382, 267, 799, 568, 513, 2556, 7226, 585, 27041, 20815, 17466, 3662, 2249, 780, 273, 269, 25841, 5253, 2997, 22355, 281, 15448, 538, 13247, 3270, 543, 2837, 666, 2569, 519, 2208, 543, 8244, 540, 27041, 20815, 267, 799, 568, 513, 2629, 1426, 2707, 585, 27041, 20815, 17466, 3662, 2249, 780, 274, 269, 16842, 11485, 540, 8187, 13933, 281, 14451, 5210, 543, 5671, 518, 2175, 2333, 519, 1981, 540, 30481, 267, 799, 666, 6861, 27041, 20815, 7226, 267, 2417, 4227, 7226, 585, 27041, 20815, 17466, 3662, 2249, 780, 275, 269, 1325, 614, 566, 769, 24779, 18963, 281, 15448, 538, 519, 12557, 543, 8515, 540, 12119, 2242, 666, 7519, 519, 9194, 3270, 540, 27041, 20815, 17466, 3662, 2249, 267, 4929, 873, 547, 1847, 547, 2127, 609, 1447, 5078, 7226, 14325, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 6637, 476, 280, 281, 16176, 3333, 27739, 543, 4787, 328, 532, 910, 8342, 15604, 11242, 2439, 5970, 596, 2479, 6836, 6972, 998, 2620, 6777, 286, 898, 781, 7168, 2182, 267, 3884, 1405, 621, 26834, 2659, 3952, 16173, 883, 519, 2571, 3043, 8869, 267, 1818, 621, 2352, 547, 1491, 1776, 1900, 4464, 269, 1809, 1018, 952, 594, 5143, 596, 972, 729, 513, 1259, 547, 3802, 593, 1283, 540, 519, 6777, 899, 621, 729, 4396, 2666, 286, 2334, 781, 1141, 6777, 3333, 3996, 2097, 538, 13561, 2439, 5331, 1373, 2111, 547, 2263, 519, 4190, 5162, 8916, 4988, 538, 28448, 15468, 6777, 1247, 9363, 3636, 543, 18241, 3330, 707, 28890, 25192, 269, 2060, 6777, 3333, 3996, 2269, 5529, 5196, 707, 3952, 267, 596, 666, 1350, 728, 24672, 936, 519, 13792, 14099, 267, 6028, 3297, 4986, 855, 707, 1378, 1305, 540, 13475, 269, 16319, 1187, 267, 3085, 1405, 621, 2496, 3086, 1577, 803, 6338, 596, 547, 1776, 5863, 5162, 2534, 1107, 31562, 256, 1403, 596, 2648, 3432, 543, 7045, 267, 1287, 23510, 1524, 24824, 593, 1079, 1279, 12545, 7923, 547, 707, 3952, 1522, 1175, 1831, 707, 1007, 5172, 2250, 830, 269, 4787, 529, 1450, 596, 547, 1286, 557, 7140, 607, 596, 13956, 10239, 1938, 267, 4743, 519, 26546, 2011, 19060, 1996, 707, 3068, 543, 6217, 519, 17598, 3280, 540, 29511, 344, 6777, 9944, 707, 8728, 780, 1103, 713, 3184, 267, 649, 786, 1445, 5097, 593, 6777, 3333, 27739, 2094, 938, 1292, 3804, 1934, 568, 547, 1683, 1344, 827, 1585, 5162, 5026, 267, 2523, 1346, 1644, 547, 6777, 3333, 27739, 269, 1717, 267, 649, 3112, 11716, 519, 13858, 1158, 540, 31562, 4625, 267, 865, 1810, 1405, 5855, 282, 649, 3513, 5905, 2390, 602, 1932, 2439, 4131, 781, 1376, 676, 1565, 811, 827, 6777, 3333, 3996, 269, 1358, 941, 1101, 1031, 5215, 540, 1296, 3516, 676, 7111, 4892, 945, 2877, 513, 1259, 547, 2951, 2066, 5318, 20073, 525, 540, 6777, 344, 2244, 1282, 10792, 24475, 269, 12465, 6777, 3333, 3996, 6743, 3833, 1114, 689, 2221, 781, 8747, 1107, 789, 941, 1500, 856, 540, 11308, 14604, 609, 986, 3369, 728, 22725, 902, 21401, 17401, 2066, 873, 269, 7073, 6777, 3333, 3996, 1869, 4196, 519, 1482, 3483, 855, 723, 7960, 3648, 538, 2474, 540, 1374, 543, 2326, 269, 27009, 267, 1034, 6777, 3333, 3996, 4183, 17426, 11956, 14604, 609, 14463, 632, 9535, 1500, 689, 5068, 610, 12285, 269, 2368, 1256, 2097, 609, 3710, 2987, 20086, 3457, 602, 948, 2061, 1793, 6235, 593, 476, 5390, 7252, 780, 3383, 875, 4010, 1281, 9849, 6777, 3333, 3996, 1118, 621, 4443, 547, 3802, 538, 2620, 6777, 286, 4270, 267, 741, 1804, 2627, 1858, 2733, 2373, 707, 2597, 936, 513, 3677, 1858, 267, 7303, 707, 3952, 689, 29855, 1932, 7184, 883, 519, 6777, 269, 6056, 540, 873, 607, 13735, 986, 30835, 585, 707, 3952, 256, 3958, 267, 1082, 6777, 3333, 3996, 723, 11329, 21217, 602, 948, 4412, 601, 596, 4464, 609, 1142, 1900, 267, 1454, 899, 875, 3165, 946, 741, 27634, 547, 7669, 998, 1216, 780, 3086, 602, 596, 1174, 519, 9238, 540, 6777, 3333, 27739, 1577, 781, 2911, 13713, 827, 31562, 269, 1306, 5018, 4505, 267, 31562, 3322, 1140, 2286, 1279, 267, 6366, 12545, 630, 12921, 529, 264, 547, 707, 3952, 543, 1210, 873, 547, 13472, 1524, 24824, 269, 1703, 616, 1896, 2010, 540, 31562, 267, 1519, 620, 18090, 630, 6658, 24824, 1070, 3444, 28029, 787, 267, 1954, 5598, 267, 543, 7658, 5658, 269, 3962, 9015, 814, 922, 2189, 2553, 543, 3937, 4170, 267, 855, 789, 782, 2671, 835, 1455, 3804, 281, 2348, 1187, 593, 519, 6777, 2439, 2690, 14987, 5461, 538, 3843, 31562, 267, 10519, 532, 10591, 568, 2356, 519, 1655, 4781, 2394, 596, 6430, 2436, 610, 711, 621, 781, 1945, 596, 1616, 547, 11654, 2417, 269, 1879, 7446, 1236, 529, 267, 2015, 2188, 971, 607, 707, 4463, 267, 2597, 267, 5578, 1377, 267, 543, 9053, 2511, 540, 31562, 269, 1280, 3236, 267, 2576, 1175, 4358, 856, 1131, 2693, 4324, 689, 513, 6292, 540, 16351, 1236, 529, 2966, 585, 9543, 19527, 543, 8483, 1516, 2490, 5546, 780, 3080, 1383, 540, 971, 19444, 7888, 1236, 529, 568, 519, 5292, 9383, 4469, 1515, 476, 278, 269, 273, 267, 799, 649, 4121, 827, 693, 519, 4098, 540, 713, 3184, 269, 4982, 5792, 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 ]
[ 6999, 602, 519, 2112, 6244, 2247, 540, 7332, 17119, 1143, 1131, 723, 1044, 28093, 4240, 609, 930, 540, 1346, 28975, 269, 634, 20352, 540, 1686, 814, 5258, 519, 1079, 10764, 267, 3079, 540, 3850, 873, 547, 1071, 7721, 626, 543, 4324, 835, 1776, 269, 16593, 3788, 602, 930, 1554, 519, 1000, 664, 4927, 2743, 563, 763, 9699, 17496, 540, 5020, 454, 763, 1079, 10723, 5931, 540, 18420, 616, 968, 763, 13225, 698, 822, 611, 8566, 7534, 892, 543, 519, 968, 2419, 663, 690, 5984, 772, 20725, 611, 6100, 634, 3844, 6249, 540, 891, 5931, 568, 1582, 2173, 2120, 344, 267, 543, 519, 13287, 540, 4998, 2932, 269, 9521, 824, 24866, 540, 3504, 2053, 267, 519, 1582, 2173, 2120, 344, 540, 713, 4984, 568, 7357, 12560, 267, 3079, 540, 1128, 3739, 513, 2112, 331, 867, 779, 1212, 539, 269, 7629, 4288, 543, 22293, 616, 519, 14763, 540, 1582, 3146, 531, 1436, 267, 1317, 789, 2014, 4250, 563, 24137, 268, 3453, 532, 936, 476, 273, 267, 1822, 1296, 267, 649, 666, 4019, 891, 1480, 9808, 2830, 625, 547, 519, 1353, 540, 476, 736, 628, 11416, 10168, 269, 1548, 649, 798, 711, 1174, 267, 649, 4250, 269, 901, 729, 693, 519, 2295, 540, 1520, 20462, 13609, 779, 20655, 540, 7642, 269, 4635, 9952, 9070, 663, 1235, 267, 13609, 8719, 3765, 24483, 609, 27313, 1944, 6013, 543, 3765, 30726, 3074, 540, 7642, 563, 28074, 540, 1977, 10168, 1996, 17051, 666, 581, 14360, 547, 22293, 543, 4250, 269, 21540, 12198, 26870, 519, 5137, 540, 6498, 1063, 519, 14797, 267, 543, 1018, 789, 1705, 711, 917, 540, 1142, 824, 267, 1317, 789, 8359, 711, 547, 917, 267, 789, 8719, 609, 4250, 563, 9213, 267, 649, 3068, 513, 1486, 26167, 6370, 602, 267, 585, 1732, 610, 8338, 267, 3322, 519, 30925, 540, 8567, 543, 5771, 269, 901, 568, 711, 519, 1101, 942, 891, 4229, 723, 2458, 3660, 269, 634, 12724, 3547, 941, 827, 8567, 779, 3801, 547, 14710, 5771, 269, 4653, 938, 4161, 568, 20408, 711, 1152, 938, 22293, 540, 5771, 267, 855, 5771, 779, 22293, 540, 8567, 630, 663, 922, 2067, 1071, 3146, 5554, 542, 267, 17194, 1916, 763, 9699, 779, 5433, 602, 972, 568, 606, 954, 268, 6618, 4369, 540, 782, 1373, 267, 543, 26378, 883, 602, 666, 581, 14059, 998, 519, 1769, 540, 1702, 267, 8744, 8521, 519, 5207, 5168, 269, 901, 3406, 585, 5168, 568, 2484, 811, 982, 606, 3134, 31906, 531, 2165, 267, 513, 3009, 2262, 585, 1715, 6520, 32339, 610, 3237, 3843, 547, 1128, 650, 2418, 538, 741, 1453, 269, 898, 6013, 693, 519, 2295, 540, 3388, 649, 798, 563, 763, 2797, 610, 4108, 6205, 4502, 1010, 610, 1200, 6070, 6487, 602, 519, 1152, 5796, 4502, 6217, 568, 519, 796, 341, 7568, 1639, 5168, 269, 1677, 3295, 3283, 262, 1582, 609, 9811, 2367, 945, 2995, 1864, 1152, 1018, 646, 6499, 547, 5873, 568, 547, 5480, 9568, 269, 13609, 1705, 621, 269, 9478, 23237, 1705, 621, 269, 31474, 570, 572, 2389, 2426, 1705, 621, 269, 6733, 693, 1018, 1686, 6645, 827, 741, 11678, 269, 590, 5417, 600, 26036, 572, 514, 3576, 1100, 5796, 269, 26681, 1281, 13690, 808, 784, 16927, 331, 540, 3345, 9705, 563, 6944, 2858, 602, 609, 5518, 6723, 654, 269, 17312, 267, 945, 814, 11303, 5128, 609, 4810, 4108, 267, 2797, 543, 20320, 8186, 269, 15284, 17619, 5795, 6723, 595, 269, 21244, 7047, 324, 1025, 534, 3832, 950, 621, 3357, 547, 4640, 543, 10986, 3664, 1282, 2622, 2782, 4083, 269, 17619, 729, 796, 11069, 5962, 609, 519, 11068, 13523, 3484, 7911, 267, 667, 342, 697, 29276, 327, 1077, 267, 950, 621, 729, 6069, 602, 519, 32249, 594, 651, 581, 3957, 607, 2212, 540, 772, 2529, 269, 4229, 538, 2342, 267, 855, 621, 729, 21244, 779, 1289, 563, 22117, 619, 6432, 547, 741, 9666, 619, 269, 1358, 849, 1118, 7125, 602, 979, 1996, 519, 10286, 950, 789, 1745, 789, 723, 9715, 519, 1702, 547, 798, 865, 269, 14062, 12493, 19557, 547, 1010, 1252, 1023, 1282, 519, 6406, 2782, 267, 855, 5555, 4718, 998, 6723, 15966, 548, 961, 534, 779, 588, 718, 12485, 267, 7446, 3079, 513, 2489, 899, 772, 569, 1087, 525, 16827, 968, 20357, 646, 24515, 3034, 3719, 519, 3406, 585, 5168, 568, 711, 1945, 2124, 326, 730, 1152, 547, 1252, 1023, 267, 6305, 26110, 543, 3465, 6342, 269, 898, 568, 1945, 782, 540, 721, 1590, 2119, 547, 1265, 269, 898, 568, 851, 540, 1946, 594, 993, 1603, 713, 1433, 269, 594, 993, 3843, 547, 1265, 14768, 540, 5168, 538, 1686, 602, 679, 13097, 543, 2995, 803, 602, 1018, 594, 723, 5156, 267, 1250, 26069, 543, 519, 10274, 594, 723, 1031, 547, 1118, 3664, 543, 1489, 3123, 267, 616, 519, 1318, 3283, 269, 901, 3406, 666, 1491, 803, 547, 16602, 8513, 269, 634, 5963, 24084, 2989, 1590, 581, 8348, 547, 1265, 13337, 538, 1010, 1034, 10723, 16933, 269, 1403, 519, 5168, 5012, 1524, 606, 13311, 2619, 267, 1152, 950, 646, 9607, 713, 4628, 666, 646, 2285, 1483, 1489, 547, 519, 1919, 646, 23297, 547, 3494, 538, 281, 2696, 267, 6214, 267, 6082, 267, 1920, 563, 8489, 18420, 15320, 689, 519, 5259, 4998, 568, 538, 519, 1253, 6412, 540, 6214, 269, 634, 9699, 2203, 3091, 513, 3391, 547, 18997, 519, 1367, 267, 855, 8813, 2110, 538, 922, 5075, 585, 2486, 607, 513, 2898, 269, 2368, 723, 11911, 519, 9699, 3310, 547, 2413, 29450, 1235, 543, 519, 4158, 14719, 2209, 540, 3943, 16650, 1143, 267, 855, 594, 1265, 713, 547, 581, 513, 12701, 563, 763, 1101, 3804, 540, 9699, 1582, 2173, 2120, 344, 568, 547, 2744, 2614, 1582, 268, 32474, 547, 3635, 1379, 936, 1866, 269, 1358, 4718, 519, 3635, 540, 1379, 547, 581, 811, 540, 606, 25191, 1184, 267, 971, 607, 513, 2385, 30512, 610, 2875, 14482, 12329, 2078, 269, 634, 16380, 3576, 621, 2417, 267, 3564, 4116, 24713, 550, 267, 547, 519, 5137, 540, 2527, 1565, 7740, 630, 1492, 4098, 540, 12621, 264, 543, 547, 519, 3498, 540, 2797, 1379, 563, 763, 5898, 540, 9699, 6138, 568, 538, 519, 14762, 585, 4998, 4441, 540, 2932, 269, 1452, 616, 2938, 607, 8471, 4441, 676, 799, 3425, 3391, 741, 2623, 269, 901, 568, 538, 1463, 4334, 547, 519, 9597, 5652, 5837, 8887, 13659, 602, 11479, 12666, 2219, 269, 634, 9699, 779, 1305, 1164, 3853, 602, 941, 711, 8209, 12492, 762, 267, 538, 1931, 547, 2057, 1582, 1606, 15384, 8351, 267, 5360, 659, 1890, 543, 13313, 269, 634, 3610, 540, 891, 24866, 941, 1572, 575, 32203, 267, 945, 8179, 547, 4001, 676, 1383, 269, 2561, 30068, 9291, 22735, 1705, 711, 900, 3634, 891, 3450, 2409, 950, 621, 3357, 547, 18836, 532, 1010, 1383, 547, 1010, 8250, 267, 595, 3559, 22855, 563, 298, 22611, 25260, 779, 968, 15430, 6269, 657, 1431, 540, 3127, 779, 11096, 2684, 625, 892, 2829, 602, 519, 4095, 3450, 2245, 7740, 593, 519, 25191, 6044, 1317, 519, 4116, 666, 1152, 581, 2500, 952, 646, 6487, 1010, 1053, 7961, 25958, 2115, 269, 901, 3587, 811, 2352, 950, 3450, 513, 1804, 1362, 610, 3056, 513, 2527, 3350, 269, 2755, 519, 25191, 1505, 568, 8098, 10928, 267, 621, 7182, 1346, 19876, 883, 5107, 540, 5718, 936, 1082, 269, 1717, 267, 621, 1100, 8969, 3091, 513, 1390, 1101, 1900, 563, 19733, 568, 519, 4550, 1673, 1774, 547, 4250, 267, 799, 14340, 689, 519, 21903, 540, 22293, 269, 634, 9699, 779, 1767, 602, 9409, 543, 5609, 941, 2192, 16272, 602, 21256, 856, 540, 741, 32370, 269, 1635, 17766, 1769, 593, 519, 1843, 540, 741, 32370, 267, 789, 22848, 877, 4250, 540, 824, 1480, 7919, 1247, 6544, 1516, 519, 968, 29774, 540, 1373, 2223, 519, 7104, 5160, 607, 621, 729, 267, 540, 782, 1480, 6228, 269, 3414, 713, 1184, 267, 799, 3340, 1390, 1582, 16162, 23002, 267, 789, 25189, 519, 5207, 5168, 563, 4131, 803, 4983, 713, 6138, 267, 799, 568, 519, 4493, 540, 19413, 779, 10752, 267, 543, 1247, 15626, 14543, 547, 13498, 930, 1271, 1919, 602, 594, 1589, 1686, 814, 6026, 721, 269, 634, 1523, 602, 9409, 1281, 711, 2291, 4849, 538, 938, 12194, 568, 2588, 26508, 267, 538, 1250, 2070, 269, 19413, 267, 519, 31390, 604, 626, 267, 729, 2899, 4280, 2436, 646, 1131, 723, 10353, 13609, 952, 519, 16586, 22415, 1117, 883, 3127, 267, 543, 519, 8575, 32257, 2965, 1767, 1945, 827, 11755, 543, 519, 1379, 540, 22233, 3123, 563, 4131, 803, 1448, 856, 513, 1906, 18408, 827, 19413, 267, 799, 568, 711, 547, 3954, 580, 3433, 1010, 1318, 995, 1747, 607, 513, 1390, 812, 267, 855, 547, 1397, 1864, 547, 581, 513, 3908, 835, 945, 1500, 519, 1034, 540, 513, 968, 704, 2739, 892, 3510, 269, 3689, 267, 19413, 1705, 2370, 952, 4376, 547, 20834, 1125, 1996, 519, 1079, 1390, 859, 2812, 602, 9782, 899, 9649, 15315, 2427, 8386, 20933, 609, 1010, 3140, 2053, 267, 9294, 1143, 543, 4004, 1143, 269, 3509, 12703, 12075, 10692, 609, 519, 3703, 1996, 519, 16586, 543, 519, 5545, 267, 855, 711, 896, 19413, 779, 9206, 269, 19413, 8359, 547, 28586, 519, 3703, 267, 16550, 873, 547, 2322, 3407, 2200, 883, 519, 4095, 2243, 267, 693, 513, 942, 950, 789, 941, 1130, 5050, 569, 10010, 267, 693, 1101, 782, 676, 741, 561, 2158, 727, 267, 1996, 519, 21647, 269, 19413, 779, 11802, 936, 519, 7810, 1235, 7640, 525, 1454, 547, 519, 30701, 2200, 540, 519, 10504, 269, 898, 729, 2622, 2782, 4083, 602, 8694, 519, 3703, 7276, 811, 982, 1022, 2582, 3815, 563, 294, 16905, 849, 6956, 602, 538, 519, 3703, 646, 5185, 513, 12560, 267, 5837, 267, 1649, 5271, 565, 550, 535, 4141, 269, 1261, 6785, 713, 267, 16941, 593, 621, 267, 5129, 547, 621, 269, 898, 729, 513, 10375, 1259, 547, 3035, 1010, 7475, 267, 547, 8275, 602, 519, 2296, 941, 25091, 547, 1010, 12560, 2014, 269, 1215, 1082, 5003, 4536, 1131, 723, 1577, 19413, 1291, 1010, 1004, 538, 4708, 286, 634, 772, 2529, 1421, 540, 1576, 267, 855, 945, 3116, 286, 634, 3943, 286, 24356, 741, 1686, 538, 4025, 899, 1473, 5255, 2088, 543, 27988, 807, 6645, 721, 8335, 269, 15742, 569, 711, 519, 16586, 267, 5545, 267, 4457, 267, 610, 519, 32228, 2103, 563, 294, 16905, 779, 4838, 3091, 1271, 4245, 538, 1483, 335, 7035, 1731, 267, 543, 27875, 513, 8559, 538, 18420, 269, 2755, 519, 1523, 602, 9409, 568, 1875, 7721, 11962, 18327, 547, 581, 513, 30940, 1907, 538, 519, 19070, 531, 540, 2413, 12666, 1143, 267, 621, 568, 519, 6587, 540, 519, 4168, 6138, 543, 13733, 538, 519, 3068, 540, 513, 1158, 1686, 538, 799, 5208, 543, 23998, 814, 6410, 10239, 269, 5015, 267, 835, 9060, 538, 19413, 779, 6214, 513, 8909, 13777, 1006, 269, 4495, 646, 729, 18272, 3990, 267, 1010, 1655, 4566, 8604, 547, 979, 1659, 787, 269, 3571, 2197, 729, 14324, 607, 8974, 543, 814, 1044, 519, 6429, 540, 10795, 1193, 1057, 1063, 9699, 779, 543, 7332, 9031, 2479, 2094, 563, 296, 23294, 1125, 585, 1250, 30852, 540, 18420, 267, 543, 676, 1100, 1797, 798, 594, 6999, 547, 14850, 18029, 577, 621, 269, 6736, 15738, 856, 930, 9475, 538, 519, 1523, 267, 594, 993, 15738, 856, 922, 840, 32383, 23954, 1317, 594, 1265, 621, 606, 24215, 17709, 1106, 540, 2069, 269, 594, 1294, 19320, 602, 798, 2291, 609, 8567, 269, 634, 5963, 24084, 2989, 9699, 543, 4168, 1281, 711, 4250, 5208, 1317, 646, 6487, 602, 3564, 713, 7706, 540, 9637, 6013, 1945, 4190, 543, 18163, 563, 763, 2069, 540, 9699, 779, 7740, 593, 2185, 2418, 267, 538, 26799, 9753, 540, 2956, 269, 594, 3226, 23507, 519, 2185, 2418, 267, 543, 1265, 873, 711, 1175, 24084, 2287, 267, 855, 1187, 543, 3362, 11368, 883, 5375, 2219, 269, 634, 1101, 568, 1572, 1488, 15925, 267, 799, 2418, 5763, 543, 3959, 269, 6153, 585, 519, 9699, 779, 269, 1358, 616, 711, 1514, 1235, 256, 2986, 1576, 267, 713, 1871, 568, 1152, 519, 1101, 1931, 540, 2956, 267, 1317, 789, 5433, 602, 1247, 3959, 568, 1271, 267, 519, 24084, 2989, 1373, 12034, 519, 2192, 639, 800, 2470, 540, 922, 1871, 269, 901, 949, 711, 1404, 1134, 609, 1346, 945, 2697, 741, 1747, 538, 2486, 9003, 593, 519, 2450, 540, 519, 4871, 6589, 267, 855, 18562, 3091, 606, 18163, 5168, 602, 6013, 693, 519, 2295, 540, 938, 5837, 22315, 563, 763, 2034, 1871, 568, 918, 4821, 267, 543, 1586, 267, 594, 2161, 2696, 12196, 2048, 655, 269, 918, 4821, 4025, 1871, 593, 2283, 783, 543, 4638, 12257, 267, 543, 594, 993, 782, 585, 602, 269, 594, 993, 513, 4168 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2762, 281, 5071, 14362, 543, 25895, 25790, 454, 320, 269, 12472, 540, 7392, 5865, 281, 5530, 519, 8129, 543, 11144, 540, 1826, 2183, 1374, 267, 7234, 9565, 5515, 971, 607, 29312, 717, 9790, 6199, 267, 5261, 16629, 23127, 267, 543, 19378, 22868, 269, 21414, 2413, 3059, 13944, 8021, 543, 2708, 741, 1764, 593, 3308, 7924, 563, 321, 269, 29456, 1299, 769, 12807, 281, 18918, 609, 5717, 4478, 3015, 1374, 3741, 267, 3226, 6236, 3309, 9458, 543, 3755, 945, 2154, 4244, 12043, 1813, 547, 2168, 23043, 610, 2542, 7965, 269, 2552, 6374, 622, 2081, 538, 799, 8537, 1462, 2762, 20383, 609, 4906, 262, 10752, 827, 15962, 16815, 7023, 563, 322, 269, 14464, 11106, 1299, 10724, 4804, 281, 8178, 5571, 7760, 538, 5841, 4987, 543, 3684, 1565, 6620, 602, 25117, 1462, 4919, 5079, 269, 13891, 622, 5683, 6286, 540, 13461, 593, 3642, 24378, 6272, 8957, 1480, 2275, 2761, 539, 15885, 780, 274, 269, 674, 29183, 27065, 998, 11978, 4919, 15331, 566, 281, 19750, 10241, 543, 18768, 454, 320, 269, 14594, 12304, 24614, 281, 15232, 3946, 6823, 2238, 5473, 2757, 1820, 14708, 2409, 899, 4484, 12304, 8228, 267, 30951, 267, 543, 12285, 16826, 26002, 269, 2561, 3285, 622, 519, 28241, 7907, 540, 13504, 543, 1957, 267, 10452, 2390, 519, 10444, 7516, 540, 3860, 4082, 12082, 538, 13400, 6386, 563, 321, 269, 10439, 17826, 1299, 11910, 28819, 281, 8073, 3312, 1568, 540, 3308, 6965, 676, 10128, 11052, 267, 13513, 267, 543, 5499, 29282, 269, 19873, 25360, 332, 476, 3393, 281, 272, 607, 6667, 585, 13167, 8353, 24312, 24886, 15885, 29689, 609, 1821, 10899, 4644, 563, 322, 269, 5564, 12855, 10558, 725, 281, 3763, 1617, 574, 27567, 14245, 6220, 1462, 2762, 1369, 3059, 5867, 267, 19234, 609, 14318, 267, 3280, 2360, 267, 543, 7317, 2934, 269, 1955, 10028, 4906, 262, 9423, 1935, 950, 14379, 1950, 2093, 3927, 780, 6962, 912, 9961, 713, 1770, 267, 1053, 786, 15052, 741, 1620, 540, 13002, 543, 1462, 2762, 607, 7533, 3334, 540, 1893, 6575, 543, 5289, 10459, 269, 1306, 789, 2263, 13654, 6436, 267, 5969, 12967, 4066, 267, 543, 3860, 3156, 267, 6267, 1058, 11349, 30190, 20785, 1222, 2853, 10704, 593, 19825, 2696, 781, 6478, 543, 3571, 2813, 1158, 269, 11086, 267, 713, 15834, 7634, 11394, 547, 7668, 2104, 7855, 267, 9858, 267, 543, 3401, 547, 8415, 1462, 4919, 4082, 607, 513, 3532, 1907, 585, 5807, 4276, 267, 8296, 267, 543, 27527, 2066, 3309, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 3080, 540, 519, 3119, 3853, 540, 938, 10026, 1153, 568, 3450, 3214, 875, 547, 581, 1053, 540, 2696, 779, 2262, 543, 2696, 779, 1158, 269, 769, 1931, 547, 1205, 519, 1655, 689, 741, 2069, 267, 543, 689, 1272, 267, 3214, 991, 547, 1831, 968, 323, 559, 580, 550, 20785, 3034, 763, 16504, 6437, 568, 2966, 547, 1683, 1053, 609, 513, 9488, 543, 23887, 1982, 540, 1565, 1759, 593, 513, 4168, 23381, 269, 11334, 4217, 1053, 538, 3384, 2556, 1983, 543, 1702, 1247, 30740, 519, 2067, 7279, 540, 1762, 1453, 269, 1358, 960, 547, 948, 1053, 3715, 513, 7029, 547, 17284, 269, 3414, 519, 16516, 6437, 267, 2689, 267, 543, 6268, 267, 3610, 9337, 543, 13217, 3450, 1570, 543, 14292, 2553, 538, 606, 4674, 547, 948, 1053, 3914, 1898, 3446, 7400, 15334, 269, 634, 9165, 540, 1565, 538, 1142, 1641, 1858, 568, 2966, 547, 1628, 593, 519, 3105, 1032, 779, 6044, 543, 547, 5965, 1053, 585, 1967, 538, 519, 1985, 3446, 1377, 269, 3414, 1134, 13807, 10165, 10467, 602, 2333, 538, 6988, 543, 1898, 7115, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 5678, 8551, 1315, 29986, 1315, 11978, 2762, 543, 674, 2632, 17607, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20101, 9572, 335, 285, 2999, 15590, 285, 2999, 335, 285, 2862, 269, 3371, 568, 513, 6169, 630, 23890, 540, 681, 7676, 264, 540, 519, 1482, 3948, 540, 14858, 321, 630, 5976, 1269, 325, 7807, 303, 328, 259, 2567, 9572, 335, 285, 2999, 335, 285, 2252, 649, 1577, 700, 581, 519, 1305, 540, 1269, 341, 259, 262, 338, 971, 602, 1614, 540, 519, 5072, 540, 1269, 325, 24449, 259, 9114, 593, 513, 1899, 267, 649, 1205, 1269, 295, 1638, 27456, 21174, 15927, 5115, 3709, 341, 22174, 700, 348, 3519, 341, 6600, 24449, 7751, 952, 1269, 19592, 535, 19749, 354, 274, 10608, 9572, 335, 285, 2999, 335, 285, 763, 5817, 2856, 568, 1360, 2147, 547, 602, 540, 14858, 321, 27135, 335, 285, 2999, 335, 285, 13750, 906, 281, 2913, 1269, 325, 259, 581, 513, 9971, 540, 4110, 693, 2547, 476, 274, 269, 27539, 602, 1269, 320, 318, 271, 259, 543, 1269, 321, 318, 271, 259, 616, 1079, 3982, 2241, 5072, 540, 1269, 325, 18750, 9984, 341, 318, 271, 10608, 3973, 585, 1269, 341, 259, 538, 513, 1507, 8378, 540, 1269, 341, 318, 271, 8961, 972, 616, 1079, 2241, 5072, 1269, 320, 17635, 29408, 1269, 321, 17635, 7751, 540, 1269, 325, 18750, 9984, 341, 259, 609, 1269, 320, 17635, 318, 271, 6661, 320, 318, 271, 259, 543, 1269, 321, 17635, 318, 271, 6661, 321, 318, 271, 10608, 769, 713, 2013, 267, 9572, 335, 285, 2999, 565, 285, 2999, 2993, 12481, 335, 285, 2252, 585, 930, 6378, 1950, 1297, 1269, 339, 315, 928, 336, 476, 271, 267, 272, 8961, 519, 2868, 25806, 1599, 1269, 341, 315, 14090, 560, 334, 512, 513, 17635, 264, 1341, 630, 272, 2389, 264, 321, 17635, 7751, 568, 513, 3586, 1269, 322, 8961, 1287, 1269, 322, 259, 568, 513, 2565, 1448, 540, 1269, 325, 259, 543, 1269, 325, 259, 814, 513, 24364, 15340, 827, 1269, 322, 10608, 9572, 335, 20565, 2993, 285, 2999, 2993, 12481, 335, 285, 2252, 519, 10126, 1269, 314, 320, 318, 271, 267, 536, 318, 271, 316, 259, 568, 513, 10465, 6316, 540, 519, 20372, 1269, 3519, 341, 6600, 3709, 341, 318, 271, 348, 7751, 543, 1100, 824, 1448, 538, 519, 1899, 998, 1269, 320, 318, 271, 267, 536, 318, 271, 259, 568, 25528, 547, 1269, 341, 318, 271, 8961, 1287, 21742, 335, 20565, 2993, 285, 21742, 565, 285, 2999, 335, 285, 273, 269, 272, 585, 1269, 341, 259, 18481, 2673, 547, 1269, 341, 318, 271, 8961, 519, 10126, 1269, 314, 320, 17635, 1070, 321, 17635, 13580, 259, 568, 513, 10465, 6316, 540, 519, 20372, 1269, 3519, 341, 6600, 3709, 341, 348, 29408, 543, 585, 1022, 1269, 339, 22174, 9948, 271, 267, 272, 314, 8961, 519, 4786, 1269, 341, 315, 14090, 560, 334, 28580, 17635, 11924, 263, 272, 2389, 264, 536, 17635, 7751, 568, 606, 1930, 11837, 27135, 335, 285, 2999, 335, 285, 273, 269, 273, 269, 634, 1899, 998, 1269, 320, 318, 271, 267, 536, 318, 271, 259, 568, 3544, 4399, 15927, 5115, 24449, 1230, 341, 6600, 3709, 341, 348, 7751, 27135, 335, 285, 2999, 335, 285, 27893, 269, 476, 272, 269, 1234, 680, 5217, 1269, 325, 18750, 7751, 676, 1269, 325, 18750, 2275, 7751, 952, 2556, 267, 649, 949, 8263, 1269, 322, 284, 271, 10608, 8074, 602, 1269, 320, 315, 14090, 560, 334, 536, 6600, 5416, 4297, 259, 568, 3989, 543, 2868, 25806, 538, 513, 8378, 540, 1269, 320, 318, 271, 8961, 17598, 602, 1269, 321, 6600, 5416, 318, 271, 4297, 284, 321, 318, 271, 259, 543, 1269, 325, 6357, 6600, 5416, 4297, 6661, 325, 5416, 30879, 898, 5205, 602, 1269, 3279, 23444, 272, 2389, 264, 321, 6600, 5416, 4297, 315, 25406, 476, 271, 259, 865, 1269, 321, 6600, 5416, 4297, 7807, 13320, 346, 3279, 2410, 339, 268, 272, 23201, 4475, 1269, 325, 5416, 6661, 325, 7268, 13320, 2715, 3279, 2410, 339, 268, 272, 348, 7751, 538, 513, 8378, 540, 1269, 320, 8961, 3976, 538, 519, 3003, 1950, 7077, 269, 24951, 519, 14170, 649, 9959, 602, 4399, 13320, 512, 346, 339, 268, 272, 4151, 568, 513, 3597, 540, 9322, 543, 1269, 325, 21948, 271, 21174, 13320, 346, 339, 2410, 339, 268, 272, 348, 535, 21948, 271, 30879, 4635, 4399, 13320, 512, 346, 339, 268, 272, 4153, 928, 476, 272, 259, 649, 1205, 1269, 325, 21948, 271, 6661, 271, 10608, 1323, 1383, 568, 1269, 345, 317, 277, 266, 274, 345, 317, 275, 268, 276, 345, 317, 273, 10608, 21742, 335, 285, 2999, 335, 285, 273, 269, 272, 269, 634, 2783, 1797, 602, 782, 519, 824, 2798, 538, 1269, 325, 13064, 272, 12917, 341, 318, 271, 7751, 616, 8659, 538, 835, 540, 519, 1930, 3368, 14742, 1642, 574, 1243, 676, 519, 1899, 998, 1269, 320, 318, 271, 267, 536, 318, 271, 10608, 901, 568, 5693, 606, 1930, 2783, 27135, 335, 285, 2999, 335, 285, 3086, 952, 1269, 3279, 17635, 11924, 263, 272, 2389, 264, 536, 17635, 9385, 25406, 524, 8961, 676, 8672, 476, 272, 1269, 322, 259, 1590, 581, 513, 2565, 1448, 543, 513, 4099, 540, 15340, 543, 1269, 3519, 341, 6600, 3709, 341, 318, 271, 348, 7751, 1131, 723, 1044, 21136, 609, 2463, 547, 1269, 322, 10608, 901, 568, 711, 2009, 676, 938, 13429, 602, 782, 519, 824, 2798, 540, 1269, 325, 13064, 272, 12917, 341, 318, 271, 7751, 630, 663, 972, 568, 693, 2547, 835, 1813, 547, 519, 13429, 593, 519, 4110, 540, 1269, 325, 259, 543, 593, 519, 16134, 540, 1269, 320, 318, 271, 267, 536, 318, 271, 259, 607, 5072, 540, 1269, 325, 3709, 341, 318, 271, 4151, 264, 616, 593, 835, 2427, 540, 519, 1899, 998, 1269, 320, 318, 271, 267, 536, 318, 271, 10608, 21742, 335, 285, 2999, 335, 285, 273, 269, 273, 269, 1284, 949, 1413, 693, 519, 1930, 1305, 1269, 310, 7807, 15927, 24189, 24449, 4934, 518, 6600, 24449, 7751, 1141, 1269, 11073, 518, 6600, 24449, 7751, 568, 519, 9148, 540, 1269, 3519, 341, 6600, 24449, 30879, 1284, 949, 8263, 1269, 320, 318, 271, 267, 536, 318, 271, 259, 616, 593, 519, 16494, 7852, 543, 782, 519, 824, 2798, 540, 1269, 325, 13064, 272, 12917, 341, 318, 271, 7751, 616, 593, 519, 2451, 3368, 7077, 269, 1284, 917, 2907, 1269, 328, 3189, 13992, 681, 18511, 314, 320, 318, 271, 267, 536, 318, 271, 316, 315, 11357, 3553, 4934, 518, 6600, 3709, 341, 318, 271, 348, 9385, 11357, 3553, 654, 10608, 9572, 335, 285, 2999, 335, 285, 293, 1460, 930, 1269, 339, 22174, 1496, 271, 267, 272, 316, 259, 543, 1577, 1269, 345, 318, 271, 284, 3279, 318, 271, 23444, 272, 2389, 264, 321, 318, 271, 10608, 1284, 949, 8263, 1269, 345, 318, 271, 284, 271, 10608, 3767, 1269, 341, 315, 14090, 560, 334, 1990, 17635, 6661, 339, 513, 17635, 11924, 263, 272, 2389, 264, 536, 17635, 7751, 568, 1930, 269, 7994, 513, 2619, 1269, 341, 4433, 7751, 971, 602, 1269, 345, 17635, 4433, 4297, 259, 568, 2942, 1483, 269, 3973, 519, 10126, 1269, 314, 320, 17635, 4433, 24270, 536, 17635, 4433, 4297, 316, 259, 10596, 998, 1269, 345, 17635, 4433, 4297, 259, 543, 3788, 3592, 7299, 585, 18481, 1507, 1269, 338, 8961, 865, 814, 1269, 345, 318, 271, 259, 593, 922, 1318, 2427, 269, 1635, 476, 273, 269, 272, 649, 949, 9959, 1269, 345, 318, 271, 22174, 4934, 518, 6600, 3709, 341, 4433, 14587, 9385, 11357, 3553, 654, 10608, 7117, 539, 27135, 335, 285, 2999, 15590, 285, 2999, 335, 285, 7656, 269, 7053, 594, 1616, 547, 2671, 930, 10230, 6901, 630, 5976, 519, 948, 540, 21280, 2274, 903, 264, 20515, 513, 27715, 630, 23890, 676, 774, 584, 8725, 264, 540, 12821, 1380, 6441, 1075, 553, 3959, 27135, 335, 285, 2999, 335, 285, 13706, 513, 9971, 1269, 325, 259, 607, 513, 4839, 3481, 8720, 540, 519, 1950, 7077, 269, 9324, 1774, 676, 12276, 5632, 595, 4151, 519, 23756, 26083, 540, 519, 2565, 2798, 540, 1269, 325, 10608, 898, 568, 1572, 11513, 655, 519, 2565, 23756, 348, 540, 1269, 325, 10608, 634, 1739, 6898, 616, 6697, 281, 630, 272, 264, 1280, 1022, 1269, 341, 22174, 1422, 13992, 595, 8961, 649, 723, 1269, 3519, 341, 6600, 24449, 9385, 338, 5725, 564, 11513, 5632, 595, 23201, 9572, 335, 285, 2999, 335, 285, 263, 273, 264, 634, 4786, 1269, 325, 259, 568, 1147, 11187, 593, 1022, 6806, 3368, 7077, 1269, 295, 259, 12969, 532, 12276, 5632, 595, 23201, 21742, 335, 285, 2999, 335, 285, 263, 272, 264, 7445, 16524, 21375, 259, 263, 273, 1040, 27539, 1269, 325, 263, 295, 9385, 2254, 315, 14269, 642, 10608, 3973, 1269, 325, 13064, 272, 12917, 341, 7751, 568, 8659, 538, 4399, 13992, 595, 6953, 259, 799, 568, 606, 1930, 3368, 7077, 267, 538, 1880, 23756, 269, 3973, 1269, 3519, 341, 6600, 347, 318, 341, 7751, 568, 849, 8659, 538, 4399, 13992, 595, 910, 670, 10608, 1924, 1269, 3519, 341, 6600, 347, 318, 341, 9385, 2254, 315, 338, 5725, 564, 11513, 5632, 595, 20954, 17591, 532, 630, 272, 1040, 9572, 335, 285, 2999, 335, 285, 263, 273, 264, 7445, 16524, 21375, 259, 263, 272, 1040, 27539, 602, 1269, 3519, 341, 6600, 347, 318, 341, 7751, 1281, 711, 2270, 519, 3003, 1305, 12276, 5632, 595, 23201, 3973, 972, 568, 513, 6806, 3368, 7077, 1269, 295, 259, 12969, 532, 12276, 5632, 595, 4151, 855, 771, 329, 2002, 689, 1269, 3519, 341, 6600, 347, 318, 341, 30879, 3973, 1269, 325, 263, 295, 9385, 2254, 315, 14269, 642, 8961, 602, 568, 267, 1269, 325, 259, 568, 711, 1147, 11187, 593, 1269, 295, 8961, 17591, 532, 630, 273, 1040, 9572, 335, 285, 2999, 335, 285, 3086, 519, 27715, 630, 296, 3513, 4734, 519, 6169, 547, 774, 584, 8725, 952, 18825, 3340, 264, 568, 602, 952, 835, 3217, 513, 5885, 1899, 1269, 299, 259, 540, 4399, 5632, 595, 259, 972, 568, 513, 3148, 593, 519, 9018, 3368, 2230, 540, 1269, 299, 259, 593, 799, 1269, 325, 259, 568, 513, 1979, 20287, 5196, 4399, 13992, 595, 259, 630, 514, 11187, 538, 519, 9703, 543, 1979, 11187, 593, 519, 9769, 540, 519, 9703, 609, 3368, 540, 519, 10465, 9095, 1040, 769, 1249, 713, 3148, 568, 22112, 676, 1079, 2520, 3941, 545, 12345, 540, 519, 14883, 531, 11973, 1269, 347, 325, 21948, 345, 264, 24689, 10383, 1923, 323, 345, 347, 259, 17242, 547, 1269, 299, 259, 693, 513, 2565, 1448, 630, 604, 519, 2565, 1448, 568, 2241, 267, 6382, 519, 3148, 568, 1256, 4130, 1040, 901, 1797, 602, 649, 946, 519, 552, 16090, 22470, 3259, 538, 519, 2039, 547, 2268, 17242, 10321, 538, 519, 6389, 269, 2983, 3941, 923, 538, 713, 11973, 616, 519, 7485, 10587, 676, 1269, 325, 259, 540, 2786, 3515, 27135, 335, 285, 2999, 335, 285, 763, 7260, 2999, 320, 27430, 6889, 10674, 2517, 4178, 12459, 657, 18436, 2593, 17320, 325, 343, 20081, 534, 548, 328, 318, 2537, 320, 6230, 990, 257, 882, 6889, 333, 1993, 4772, 22969, 6798, 915, 2032, 9572, 320, 285, 568, 1500, 676, 21280, 2274, 903, 547, 9414, 713, 1267, 27135, 335, 285, 5291, 2517, 4118, 1478, 6503, 14492, 270, 638, 5465, 270, 276, 6434, 1428, 9706, 565, 8662, 268, 23085, 7146, 8410, 557, 343, 640, 270, 10482, 6924, 275, 258, 10482, 6924, 275, 8382, 676, 22819, 3240, 918, 23167, 585, 27155, 5072, 543, 23756, 640, 22819, 3240, 918, 23167, 476, 1001, 273, 268, 1015, 268, 6734, 307, 6349, 281, 5379, 281, 4962, 313, 476, 1001, 273, 268, 1015, 268, 4962, 307, 1626, 281, 2641, 281, 4029, 313, 2999, 335, 285, 2171, 666, 21656, 1346, 1269, 303, 259, 585, 799, 4399, 9507, 346, 295, 1638, 12917, 303, 264, 815, 1422, 9507, 346, 3519, 341, 12917, 303, 30879, 21742, 335, 285, 2999, 335, 285, 5575, 15475, 602, 519, 5072, 540, 1269, 303, 259, 798, 711, 9114, 593, 513, 1899, 269, 1284, 6961, 602, 4399, 9507, 346, 295, 1638, 12917, 303, 264, 815, 1422, 9507, 346, 3519, 341, 12917, 303, 7751, 952, 543, 1152, 952, 972, 568, 606, 1884, 3187, 29719, 1269, 304, 259, 540, 1269, 303, 259, 585, 799, 1269, 304, 815, 589, 317, 273, 289, 8961, 543, 519, 5072, 540, 1269, 289, 259, 9114, 538, 519, 23756, 26083, 540, 1269, 288, 10608, 634, 834, 604, 257, 568, 7525, 543, 2451, 547, 519, 5467, 269, 21742, 335, 285, 2999, 335, 285, 9616, 602, 513, 3597, 4399, 15883, 259, 540, 1269, 303, 259, 666, 9114, 593, 519, 10465, 540, 4399, 9507, 346, 3519, 341, 32710, 303, 328, 29192, 18652, 7751, 1152, 952, 4399, 15883, 259, 568, 513, 3597, 540, 4399, 303, 328, 29192, 18652, 8961, 610, 782, 519, 5072, 540, 4399 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8333, 663, 26930, 257, 607, 851, 540, 834, 30311, 1315, 13639, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1837, 267, 649, 723, 8268, 519, 10794, 540, 5020, 543, 8045, 621, 538, 5124, 269, 1284, 723, 4121, 875, 547, 5352, 4351, 2338, 267, 4019, 519, 10794, 540, 5020, 3652, 267, 543, 18082, 519, 10794, 540, 5020, 269, 1284, 723, 849, 2938, 875, 1950, 3270, 666, 10836, 689, 2241, 3652, 269, 634, 10794, 540, 5020, 568, 513, 4241, 1383, 540, 875, 2241, 3652, 666, 1291, 547, 1950, 2623, 267, 543, 621, 2488, 513, 3532, 1907, 585, 3695, 519, 3601, 540, 10408, 3678, 1092, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 910, 476, 272, 8679, 825, 8173, 825, 952, 5286, 269, 1170, 889, 323, 6943, 5560, 6943, 267, 5286, 269, 15759, 518, 2187, 1038, 28219, 5332, 4548, 815, 5286, 20179, 27110, 17347, 267, 2450, 14352, 4900, 267, 897, 338, 1070, 546, 6943, 284, 323, 6943, 994, 825, 3116, 912, 1038, 28219, 5332, 4548, 815, 5286, 20179, 26509, 6134, 263, 271, 267, 737, 910, 476, 272, 267, 2450, 14352, 4900, 267, 897, 338, 26895, 770, 4286, 5560, 6943, 994, 825, 2132, 5286, 15126, 8443, 8681, 5332, 4548, 316, 9239, 3698, 3014, 15058, 318, 5158, 318, 22364, 263, 31371, 13118, 3125, 267, 524, 267, 512, 2187, 825, 4099, 318, 3250, 815, 29117, 314, 272, 6012, 272, 2639, 825, 2698, 815, 5286, 27904, 263, 31371, 13118, 3125, 994, 825, 952, 4099, 318, 3250, 2652, 476, 272, 912, 1038, 952, 2698, 910, 476, 272, 2999, 476, 273, 912, 2018, 2132, 476, 271, 476, 1948, 7102, 2661, 1591, 609, 7864, 982, 1079, 2661, 30256, 10523, 267, 607, 952, 3361, 676, 896, 28134, 563, 1038, 952, 2698, 910, 476, 272, 2652, 476, 273, 610, 2698, 910, 476, 272, 2652, 476, 274, 912, 2018, 2132, 476, 272, 476, 1948, 7102, 2661, 1591, 609, 1079, 610, 1614, 2661, 30256, 2729, 593, 547, 519, 1985, 5108, 563, 1038, 952, 2698, 910, 476, 272, 3436, 476, 274, 912, 2018, 2132, 476, 271, 476, 1948, 7102, 2661, 1591, 609, 811, 982, 1614, 2661, 30256, 10523, 267, 607, 952, 676, 936, 28134, 563, 825, 3116, 912, 1038, 952, 2698, 2652, 476, 274, 912, 2018, 2132, 476, 272, 476, 1948, 7102, 4666, 1591, 609, 4010, 1614, 2661, 30256, 3587, 513, 2661, 1591, 267, 607, 952, 676, 12093, 563, 1038, 3116, 912, 2018, 2132, 476, 271, 454, 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, 6092, 5149, 281, 11576, 800, 8177, 538, 15339, 281, 10289, 3600, 15064, 15339, 998, 519, 30776, 540, 31012, 30527, 692, 1103, 6236, 519, 3710, 1604, 781, 3310, 593, 938, 12823, 267, 17974, 6189, 19674, 607, 513, 2565, 10155, 602, 5546, 938, 521, 4577, 2833, 1369, 5624, 269, 1635, 6313, 24180, 1483, 626, 6189, 267, 799, 22393, 10244, 539, 829, 24632, 6127, 547, 4739, 1808, 3929, 6114, 267, 649, 666, 1732, 1174, 875, 9858, 1522, 17543, 3337, 17391, 5054, 2221, 269, 3414, 606, 6514, 540, 3140, 2013, 2090, 543, 4207, 3156, 267, 713, 1576, 1770, 786, 2263, 519, 1761, 585, 8888, 6209, 4992, 7870, 538, 1585, 5468, 780, 272, 269, 25043, 540, 32185, 538, 5071, 692, 6524, 18167, 883, 519, 7706, 540, 17974, 6189, 267, 621, 568, 1898, 547, 3715, 606, 1620, 540, 519, 1909, 540, 8226, 538, 5935, 938, 5872, 609, 2230, 269, 5274, 7919, 616, 20244, 1617, 529, 839, 3645, 7068, 282, 3976, 267, 519, 3710, 1604, 7506, 721, 3564, 6071, 3308, 15312, 269, 25291, 267, 9329, 267, 6492, 267, 543, 6217, 3565, 3648, 547, 14335, 938, 8901, 17133, 543, 3965, 269, 9182, 267, 11265, 6272, 1058, 2015, 891, 2188, 950, 20678, 547, 18427, 1880, 30181, 610, 5615, 1851, 31269, 780, 273, 269, 8466, 2776, 1027, 757, 281, 4591, 2065, 22604, 547, 6611, 692, 763, 1523, 540, 14139, 513, 11455, 1935, 547, 1374, 1765, 821, 602, 22851, 2789, 12823, 8195, 1765, 335, 1042, 919, 24180, 17779, 269, 8191, 5511, 7060, 2429, 1686, 723, 6444, 519, 2956, 540, 9013, 4961, 262, 10444, 11378, 547, 2226, 1931, 543, 3895, 20748, 12972, 269, 9147, 4936, 16413, 267, 585, 3236, 267, 6964, 3834, 12151, 1949, 547, 3002, 1857, 8602, 17346, 1247, 11423, 873, 609, 1045, 580, 528, 908, 1085, 757, 543, 4992, 267, 5807, 18497, 16345, 543, 14017, 2509, 519, 10504, 269, 769, 713, 2796, 267, 1256, 9583, 27217, 3344, 899, 2837, 7939, 1831, 2645, 585, 12018, 2043, 262, 2623, 543, 8456, 780, 274, 269, 5890, 21505, 5358, 6996, 538, 31012, 30527, 692, 12892, 626, 1483, 626, 16413, 3576, 891, 3741, 2417, 676, 12799, 6220, 5626, 14555, 883, 741, 2259, 269, 2060, 606, 8561, 593, 2870, 4998, 1242, 11269, 540, 2486, 267, 789, 6322, 547, 6536, 8788, 267, 27277, 267, 543, 7607, 998, 12879, 540, 10444, 10291, 269, 1306, 5018, 4505, 267, 971, 4485, 1419, 10704, 1472, 1762, 267, 7524, 3197, 14436, 540, 606, 16545, 2588, 26508, 2104, 269, 769, 2490, 267, 891, 7907, 5483, 3664, 3823, 2326, 267, 3029, 267, 4778, 267, 543, 26088, 267, 7551, 10451, 15138, 5054, 20009, 547, 5551, 28146, 2829, 780, 275, 269, 3600, 15064, 15339, 281, 26479, 1299, 10241, 692, 10907, 15064, 6189, 4016, 4481, 547, 519, 18532, 1374, 540, 11255, 543, 9205, 4992, 7870, 269, 898, 13315, 1312, 17846, 2994, 630, 324, 3052, 1421, 6846, 5786, 267, 26871, 828, 566, 1852, 264, 543, 19349, 2553, 630, 324, 3052, 1421, 6098, 8301, 3892, 267, 28400, 659, 15064, 15128, 1040, 10765, 7835, 538, 2029, 723, 8118, 909, 3209, 7399, 585, 7598, 17974, 6189, 2066, 3309, 9922, 267, 1519, 3782, 6703, 267, 3872, 5238, 267, 28737, 267, 543, 2686, 28503, 780, 276, 269, 8865, 5525, 281, 16319, 7870, 538, 6657, 692, 2750, 600, 1456, 1896, 25761, 3785, 896, 24180, 17779, 2636, 721, 547, 9787, 875, 16413, 11573, 3042, 3818, 1606, 29022, 2609, 547, 6655, 20748, 6386, 269, 6333, 267, 585, 3236, 267, 519, 20066, 540, 7737, 328, 1115, 6735, 7127, 2966, 676, 16907, 529, 594, 1993, 534, 267, 32157, 1744, 4157, 327, 990, 267, 543, 670, 10725, 16803, 269, 1160, 12723, 585, 18293, 1282, 23237, 781, 12081, 267, 713, 897, 1601, 531, 2497, 12286, 5318, 1930, 5624, 4904, 609, 10575, 14823, 2575, 5497, 547, 8300, 7104, 552, 25045, 18319, 10838, 8436, 269, 6684, 267, 519, 715, 1046, 558, 21129, 8490, 538, 18293, 8246, 8766, 2065, 1330, 1399, 1841, 543, 7522, 23725, 832, 547, 5352, 15982, 3280, 22836, 267, 8716, 9602, 31658, 543, 2146, 2679, 780, 277, 269, 12634, 22627, 281, 3245, 7629, 16272, 547, 18712, 692, 4407, 24180, 17779, 949, 3100, 1884, 1172, 730, 267, 1082, 540, 922, 4295, 28975, 13469, 609, 1459, 6377, 27964, 4478, 23913, 1374, 543, 8171, 269, 11569, 267, 3875, 3906, 1631, 5431, 519, 1871, 540, 3358, 17974, 5054, 585, 7393, 3593, 9547, 267, 2773, 267, 543, 1072, 4093, 269, 3194, 9727, 602, 6099, 3280, 2157, 666, 2087, 5042, 1599, 267, 2569, 2566, 267, 24772, 5876, 267, 543, 7794, 1514, 4296, 269, 4935, 267, 10128, 17974, 6189, 883, 4207, 2853, 3091, 1713, 2640, 585, 3309, 8639, 780, 278, 269, 8892, 19648, 281, 19078, 19047, 1299, 12160, 2218, 5071, 692, 2026, 1719, 538, 10444, 25700, 6189, 9428, 267, 865, 1932, 1281, 519, 991, 585, 5683, 8086, 7282, 922, 6388, 269, 5999, 8451, 827, 8116, 267, 9844, 267, 543, 13597, 950, 13167, 24441, 2833, 585, 5667, 639, 1051, 532, 3755, 269, 1677, 2232, 891, 4145, 267, 29355, 1374, 2409, 1590, 581, 17947, 267, 3850, 31269, 547, 1071, 268, 22056, 741, 10450, 543, 21907, 3617, 21356, 1063, 7834, 267, 4313, 267, 543, 3838, 5605, 4800, 269, 11086, 267, 14237, 8537, 19929, 5849, 602, 17974, 6189, 3788, 17841, 547, 6422, 1367, 7375, 2864, 982, 25412, 14461, 16431, 2390, 7938, 9231, 11317, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2414, 513, 1804, 6708, 267, 519, 2152, 540, 31012, 7464, 626, 1148, 630, 1993, 6189, 264, 568, 1644, 547, 922, 10444, 1764, 269, 634, 9703, 729, 547, 581, 5402, 9859, 267, 11231, 543, 7677, 1639, 547, 1374, 513, 1007, 1826, 540, 10444, 1995, 269, 8729, 547, 713, 267, 621, 2968, 513, 1907, 585, 15725, 7180, 267, 607, 1134, 607, 22392, 4664, 269, 901, 3376, 2989, 519, 4247, 540, 519, 4056, 267, 945, 2968, 2048, 2254, 1152, 606, 11653, 540, 5656, 543, 10754, 267, 855, 606, 11653, 540, 1480, 20339, 9957, 4014, 519, 11455, 2470, 540, 8226, 814, 1044, 1031, 538, 1374, 585, 5553, 630, 18034, 585, 519, 2115, 540, 513, 2178, 267, 28974, 1379, 1070, 543, 729, 849, 5432, 547, 2413, 1235, 267, 922, 10872, 729, 9450, 676, 3375, 24237, 538, 519, 31012, 7464, 626, 5736, 269, 1358, 1360, 29596, 1031, 8226, 6127, 543, 2618, 657, 11703, 2175, 2443, 1657, 782, 607, 606, 6293, 547, 1711, 630, 1492, 21903, 540, 264, 513, 6126, 1158, 269, 2334, 568, 1946, 741, 32249, 267, 7772, 995, 543, 4105, 1915, 729, 14578, 3746, 2213, 538, 11673, 540, 6189, 543, 954, 12542, 269, 1280, 1383, 267, 519, 1568, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 8121, 6224, 3951, 17614, 13543, 1315, 29844, 1315, 4937, 1315, 3600, 15064, 15339, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8762, 5735, 267, 5441, 540, 29016, 282, 2441, 2088, 29247, 267, 11022, 267, 8783, 267, 2564, 14711, 543, 6375, 1108, 267, 23171, 5441, 267, 543, 8783, 267, 14711, 543, 2564, 6375, 1108, 267, 4639, 670, 13273, 22622, 267, 1715, 670, 13273, 267, 1230, 333, 5919, 700, 7431, 590, 9646, 267, 12854, 267, 631, 10955, 267, 28251, 301, 267, 31298, 267, 1982, 8689, 543, 13930, 7548, 267, 6498, 540, 2564, 2732, 267, 5441, 540, 7147, 3162, 13523, 6481, 5664, 693, 28543, 282, 5843, 6798, 727, 267, 5463, 269, 476, 280, 267, 476, 1708, 272, 267, 593, 11060, 0, 326, 755, 541, 31208, 1438, 2259, 454, 326, 755, 541, 31208, 1438, 2259, 454, 763, 5256, 540, 519, 13265, 543, 24027, 2831, 269, 15155, 544, 630, 29793, 1664, 12683, 986, 916, 267, 562, 7631, 894, 13737, 986, 916, 267, 562, 7631, 894, 12683, 15155, 1040, 15155, 630, 1260, 1706, 894, 811, 15155, 267, 2706, 331, 894, 1034, 15155, 1040, 562, 269, 634, 2597, 799, 16716, 519, 9514, 267, 538, 513, 18061, 9920, 267, 9252, 17200, 267, 16826, 1984, 267, 610, 519, 899, 269, 2353, 2924, 540, 519, 8313, 616, 11603, 676, 21460, 11592, 2593, 269, 3267, 10548, 21460, 12791, 910, 4855, 519, 2953, 2495, 540, 10548, 538, 21460, 267, 621, 568, 1271, 547, 1174, 519, 2262, 5265, 950, 649, 14377, 621, 689, 2296, 547, 21460, 269, 12624, 4262, 268, 582, 614, 609, 12008, 7782, 267, 5651, 549, 7345, 2073, 4993, 269, 5440, 8422, 6875, 25498, 689, 11370, 764, 2033, 619, 5288, 269, 681, 4461, 910, 11370, 764, 2033, 619, 2593, 267, 910, 12253, 779, 17496, 540, 513, 10548, 543, 513, 3619, 520, 269, 12168, 363, 24220, 8294, 14180, 8294, 269, 6744, 856, 713, 1007, 22565, 3381, 609, 1007, 2575, 256, 1703, 616, 2141, 1896, 10096, 540, 1142, 2262, 538, 21460, 267, 519, 2953, 2495, 540, 10548, 538, 21460, 568, 12168, 363, 14180, 24220, 407, 479, 267, 543, 538, 19005, 649, 2328, 621, 14480, 9346, 269, 2353, 2924, 540, 519, 8313, 616, 11603, 676, 21460, 11592, 2593, 269, 681, 4461, 16294, 15155, 269, 681, 4461, 769, 930, 2694, 540, 4789, 513, 15155, 568, 1572, 513, 512, 1575, 269, 562, 269, 634, 5256, 540, 519, 13265, 543, 24027, 2831, 269, 634, 824, 10096, 616, 2725, 754, 3873, 267, 14480, 9346, 267, 8738, 329, 661, 8621, 531, 267, 631, 690, 686, 267, 918, 2393, 3534, 267, 32038, 3534, 267, 631, 1735, 28635, 32038, 667, 6511, 267, 774, 9398, 667, 6511, 543, 772, 571, 667, 6511, 269, 476, 6245, 279, 267, 670, 14371, 269, 17164, 762, 18780, 538, 2296, 543, 21460, 609, 24436, 1107, 8281, 21584, 267, 10960, 1656, 4256, 23467, 2060, 24436, 267, 8281, 21584, 1299, 26076, 339, 267, 5903, 2986, 16549, 1529, 710, 1656, 12339, 24100, 13834, 9293, 1411, 18771, 5700, 267, 17164, 762, 18780, 538, 2296, 609, 24436, 1107, 8281, 21584, 267, 589, 547, 2098, 16819, 18780, 609, 24436, 1107, 8281, 538, 21584, 267, 476, 276, 7454, 5131, 2296, 4804, 29393, 1107, 13724, 2296, 693, 5851, 267, 9293, 547, 14674, 519, 22226, 540, 513, 12287, 1107, 10886, 3004, 1080, 267, 476, 3199, 266, 11814, 633, 715, 10494, 13242, 585, 12085, 543, 27014, 267, 476, 2568, 266, 11814, 633, 715, 10494, 585, 20492, 540, 4658, 779, 267, 5903, 540, 476, 3583, 266, 11814, 633, 715, 10494, 585, 12292, 543, 20002, 269, 2311, 519, 1439, 540, 713, 2022, 267, 596, 786, 1265, 533, 696, 543, 4647, 762, 7824, 3758, 540, 713, 3003, 3992, 269, 1717, 267, 596, 991, 547, 4019, 1697, 8239, 3652, 538, 1022, 4845, 269, 476, 273, 769, 1250, 5075, 594, 4718, 8885, 538, 519, 3632, 12818, 540, 12246, 320, 538, 519, 11662, 540, 4432, 600, 282, 538, 519, 5075, 594, 729, 22290, 519, 21853, 2967, 22575, 269, 10548, 12791, 538, 19446, 910, 769, 519, 2085, 540, 3059, 2792, 267, 1022, 1268, 1058, 1451, 543, 1174, 2789, 4654, 585, 1732, 2792, 269, 10089, 12712, 25697, 536, 778, 320, 568, 835, 540, 519, 1034, 2442, 21460, 30053, 585, 3214, 256, 17164, 762, 18780, 538, 2296, 543, 21460, 609, 24436, 1107, 8281, 21584, 5181, 476, 279, 267, 476, 1001, 280, 5903, 540, 476, 1911, 4107, 5871, 11534, 5242, 9293, 538, 2296, 609, 21460, 12791, 5181, 476, 3066, 267, 476, 1001, 280, 5903, 540, 476, 3583, 266, 11814, 633, 715, 10494, 585, 12292, 543, 20002, 5239, 476, 1789, 267, 476, 1001, 280, 634, 681, 4461, 2495, 538, 21460, 786, 15983, 3986, 707, 6863, 269, 10548, 568, 606, 10902, 2687, 547, 2694, 540, 4633, 269, 681, 4461, 2147, 1913, 899, 10548, 267, 10548, 543, 10548, 3333, 871, 548, 282, 681, 4461, 21460, 22564, 568, 27755, 17262, 14180, 406, 486, 406, 378, 8294, 269, 769, 519, 2413, 1158, 267, 972, 568, 513, 25680, 991, 585, 1004, 945, 666, 5968, 538, 1114, 4654, 269, 15155, 630, 628, 2273, 16512, 13737, 2241, 1459, 986, 916, 267, 1459, 32096, 15155, 2719, 267, 2241, 2250, 543, 2250, 32096, 15155, 4364, 1040, 3245, 23977, 3258, 5824, 2608, 541, 877, 3799, 1070, 689, 17623, 5824, 7098, 5953, 5443, 267, 689, 5824, 513, 525, 12462, 19817, 704, 26158, 1284, 1683, 8840, 3377, 267, 9031, 328, 3377, 267, 4139, 3377, 267, 6355, 3377, 267, 11846, 3377, 267, 21460, 3377, 543, 14970, 21460, 5240, 269, 26479, 540, 519, 2262, 681, 4461, 723, 1044, 4330, 1934, 609, 519, 5021, 3877, 269, 1717, 267, 513, 1268, 7959, 1732, 547, 5968, 952, 646, 24172, 814, 6190, 6863, 269, 1717, 267, 513, 1268, 7959, 1732, 547, 5968, 952, 646, 24172, 814, 6190, 6863, 269, 32425, 622, 543, 4830, 267, 1488, 625, 786, 2760, 798, 1945, 1175, 1317, 3025, 3116, 568, 3257, 621, 12544, 10548, 2115, 547, 581, 476, 1911, 2600, 8149, 547, 519, 4305, 693, 1688, 269, 2201, 519, 824, 2427, 267, 596, 666, 849, 1118, 681, 4461, 4845, 538, 21460, 607, 1896, 2296, 1913, 616, 849, 1031, 538, 519, 2296, 1893, 563, 288, 345, 675, 681, 987, 531, 657, 26744, 1234, 947, 19715, 267, 4425, 1335, 1014, 631, 4821, 8871, 334, 8943, 267, 661, 1206, 8871, 334, 8943, 23749, 267, 4258, 777, 22456, 18766, 906, 3794, 754, 1446, 267, 10897, 267, 12443, 6921, 582, 14691, 5843, 338, 26236, 267, 7763, 334, 19045, 476, 1240, 343, 1015, 267, 670, 25352, 717, 343, 29496, 16242, 12984, 615, 9487, 267, 18718, 1744, 756, 553, 1656, 570, 756, 9812, 267, 4258, 777, 652, 9255, 1677, 16179, 645, 2714, 1194, 4826, 267, 3004, 8814, 5244, 14977, 1723, 517, 29673, 267, 594, 2549, 27211, 267, 966, 714, 1470, 12829, 4751, 570, 341, 4563, 24897, 267, 476, 3192, 273, 966, 9298, 717, 339, 1280, 22312, 267, 2782, 5069, 1067, 476, 2412, 330, 966, 739, 5797, 534, 17738, 267, 2672, 19207, 808, 4883, 15718, 520, 476, 272, 267, 23683, 2274, 821, 3204, 687, 267, 15465, 11790, 769, 5822, 5678, 21733, 9974, 267, 14594, 2986, 11559, 618, 1677, 3733, 12312, 769, 634, 8136, 267, 12493, 5441, 20504, 766, 15580, 267, 2696, 12791, 769, 21460, 267, 14956, 2287, 15048, 6201, 16470, 267, 476, 2735, 279, 932, 24075, 2401, 25004, 22971, 15434, 12127, 4289, 267, 9198, 1049, 32100, 29361, 9487, 267, 2817, 5244, 2372, 11467, 476, 1708, 271, 29247, 267, 595, 12364, 7736, 2986, 7412, 267, 28473, 715, 321, 2098, 2158, 267, 1548, 2871, 1841, 634, 9980, 8896, 1677, 853, 631, 2426, 334, 781, 670, 690, 342, 11301, 25491, 267, 31864, 7815, 476, 274, 623, 1021, 4438, 12338, 2675, 25333, 267, 0, 27455, 879, 10783, 324, 5441, 8992, 519, 4909, 3703, 2418, 540, 9111, 267, 519, 4341, 540, 1876, 267, 1367, 15698, 267, 543, 8994, 2463, 543, 10892, 540, 1346, 609, 1114, 5132, 338, 543, 4978, 269, 1284, 3895, 7862, 540, 4316, 543, 4763, 267, 2324, 609, 1053, 547, 1174, 267, 5660, 543, 2463, 3017, 538, 519, 1158, 543, 922, 2950, 269, 769, 1249, 267, 891, 616, 849, 11368, 883, 938, 1153, 2048, 31359, 685, 4408, 267, 607, 2813, 676, 1053, 912, 7437, 938, 18880, 6437, 543, 9962, 5441, 7341, 267, 649, 912, 268, 5512, 1053, 547, 1020, 741, 1582, 268, 32474, 267, 1582, 12635, 543, 1582, 21873, 3248, 268, 5512, 1053, 547, 10646, 1318, 689, 4636, 543, 547, 2463, 519, 3540, 543, 7803, 1876, 540, 4789, 3248, 268, 5000, 1053, 547, 3398, 5539, 585, 741, 7180, 267, 1397, 11036, 267, 543, 547, 1174, 875, 789, 666, 3565, 9797, 547, 519, 2729, 540, 1346, 2713, 543, 2324, 538, 519, 1327, 1275, 540, 519, 1153, 543, 547, 2486, 811, 4922, 3248, 268, 5512, 1053, 547, 10536, 513, 3376, 2489, 1702, 540, 543, 2463, 585, 1857, 5238, 543, 2533, 538, 4789, 3248, 268, 2417, 10892, 543, 10103, 1063, 1114, 2686, 5389, 676, 7175, 1053, 547, 10536, 606, 7071, 540, 543, 2463, 585, 741, 1378, 543, 824, 4529, 3248, 268, 5000, 2463, 585, 824, 1004, 282, 543, 454, 268, 5000, 2463, 585, 9111, 543, 1489, 585, 7589, 538, 519, 11180, 3157, 267, 1519, 2463, 585, 519, 4493, 593, 799, 519, 1876, 568, 1500, 543, 4294, 538, 4789, 563, 763, 1592, 2630, 6257, 519, 1620, 543, 1702, 4397, 540, 1053, 607, 513, 1267, 912, 268, 606, 1620, 540, 875, 4961, 666, 3310, 3375, 6194, 998, 519, 11180, 1184, 3248, 268, 606, 7071, 602, 2713, 896, 519, 4341, 540, 1876, 14014, 1367, 4961, 543, 568, 1898, 585, 741, 8171, 543, 3106, 3248, 268, 606, 1620, 602, 972, 568, 513, 9668, 540, 1379, 1063, 519, 10324, 543, 519, 4140, 26547, 267, 543, 602, 1247, 930, 1857, 4703, 971, 607, 519, 7128, 543, 519, 7952, 666, 581, 4371, 547, 2272, 998, 12057, 267, 1866, 971, 607, 519, 10470, 2226, 7115, 3248, 268, 606, 1620, 602, 519, 5191, 547, 3442, 543, 3180, 824, 5132, 338, 543, 4978, 568, 6870, 538, 1876, 3248, 268, 606, 10343, 602, 824, 1004, 2348, 1114, 5132, 338, 610, 4978, 547, 13951, 630, 528, 2348, 9039, 264, 1058, 581, 7608, 543, 7109, 730, 267, 543, 1058, 711, 581, 519, 2014, 540, 11830, 2772, 610, 25641, 7180, 282, 543, 454, 268, 606, 1620, 540, 519, 2956, 540, 7114, 543, 8396, 1154, 7130, 563, 268, 769, 519, 18880, 543, 5729, 476, 280, 2622, 5525, 6437, 267, 607, 1134, 607, 519, 20861, 19510, 267, 1053, 2263, 513, 2039, 540, 2152, 267, 971, 607, 875, 9111, 543, 519, 1876, 1568, 538, 6628, 267, 538, 4334, 547, 824, 3029, 540, 2229, 538, 824, 2477, 454, 268, 4841, 723, 513, 5639, 602, 568, 19557, 547, 267, 543, 649, 6542, 875, 9111, 1568, 676, 8362, 5009, 11180, 3157, 998, 519, 8092, 879, 10783, 324, 9906, 12057, 267, 609, 11221, 1053, 267, 543, 998, 938, 9525, 538, 14216, 2421, 779, 15272, 26302, 11036, 269, 901, 849, 2488, 3255, 547, 3180, 23769, 12836, 547, 3895, 4909, 3703, 2418, 543, 1683, 1053, 609, 519, 4316, 547, 1451, 875, 547, 8044, 543, 9718, 2798, 540, 2070, 454, 268, 634, 1310, 4211, 565, 5076, 23918, 10872, 543, 2875, 21445, 32234, 2066, 2686, 267, 3909, 267, 6803, 543, 8739, 20300, 2950, 269, 3776, 15795, 1106, 619, 849, 2709, 1489, 547, 938, 7820, 6267, 269, 0, 272, 568, 519, 3961, 3693, 540, 8691, 563, 6011, 666, 649, 2322, 5515, 538, 2789, 9912, 3948, 454, 763, 2806, 27318, 610, 862, 32477, 3959, 540, 519, 8691, 540, 2338, 269, 898, 568, 1271, 602, 1312, 834, 20123, 328, 6473, 257, 543, 834, 11133, 1499, 257, 4183, 538, 519, 2626, 269, 5221, 267, 621, 568, 10858, 547, 8691, 855, 711, 267, 585, 1383, 267, 585, 6498, 269, 898, 568, 10858, 585, 519, 8691, 593, 2338, 855, 711, 14290, 563, 296, 6415, 711, 3222, 540, 513, 1259, 547, 5635, 1079, 2338, 676, 8691, 563, 2399, 832, 2608, 2608, 2608, 2608, 2608, 3143, 267, 789, 616, 1572, 3818, 2364, 1343, 563, 25648, 6473, 568, 1031, 547, 4137, 856, 1804, 18304, 540, 2338, 563, 320, 8691, 7470, 5654, 899, 513, 4216, 1305, 540, 2338, 1141, 596, 9062, 1079, 2338, 1818, 1142, 1079, 2338, 16611, 676, 1818, 8691, 10833, 454, 1492, 8691, 540, 1079, 2338, 568, 1572, 513, 3815, 519, 2626, 547, 513, 8691, 1966, 568, 1572, 513, 1587, 454, 763, 2626, 5673, 593, 519, 2796, 269, 1280, 1383, 267, 8691, 540, 2338, 568, 862, 32477, 630, 288, 265, 289, 815, 645, 265, 288, 264, 855, 8691, 540, 14290, 568, 711, 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 ]
[ 513, 476, 275, 267, 4335, 1700, 277, 267, 4335, 918, 2837, 1604, 1223, 581, 6045, 676, 7873, 839, 725, 538, 519, 1970, 2604, 2694, 540, 8710, 18651, 1206, 1107, 1373, 9571, 538, 519, 5790, 540, 681, 312, 32371, 8636, 926, 328, 1107, 513, 28198, 602, 3123, 2199, 2196, 12537, 9023, 267, 3850, 3327, 7452, 547, 1106, 282, 519, 5250, 540, 519, 6801, 2933, 568, 15458, 269, 9208, 24974, 4720, 3631, 798, 711, 3132, 1804, 24788, 748, 6801, 609, 4642, 7250, 282, 519, 1079, 1292, 6436, 547, 2491, 891, 6801, 616, 1312, 10169, 16678, 581, 7257, 1154, 971, 4686, 6801, 269, 769, 835, 267, 513, 32421, 4386, 1063, 1079, 3043, 21221, 6801, 267, 835, 513, 4477, 1756, 3043, 21221, 543, 519, 824, 513, 3327, 268, 2135, 4723, 3043, 21221, 269, 6519, 546, 8705, 12028, 616, 15877, 538, 7250, 543, 519, 25739, 5182, 1131, 3668, 602, 3693, 282, 519, 2034, 2203, 2022, 12885, 513, 7372, 12768, 21063, 2680, 693, 519, 12614, 540, 8781, 540, 606, 9018, 26775, 7387, 267, 4929, 519, 2370, 6967, 11626, 25756, 547, 581, 5828, 936, 883, 519, 9703, 540, 519, 5182, 563, 2005, 568, 2009, 602, 519, 4763, 540, 681, 9197, 289, 6801, 568, 3361, 676, 513, 4763, 540, 5250, 6127, 267, 11341, 873, 547, 3665, 26775, 6801, 543, 7250, 12413, 17087, 3327, 6801, 269, 901, 1592, 3568, 782, 519, 681, 9197, 289, 6801, 7396, 538, 519, 717, 20302, 306, 267, 607, 1134, 607, 824, 8037, 1806, 269, 667, 312, 3131, 572, 328, 568, 711, 3769, 269, 774, 11448, 1700, 385, 375, 12682, 330, 578, 1843, 681, 20840, 2801, 645, 648, 23653, 6801, 267, 676, 595, 269, 17363, 11518, 9445, 267, 14022, 27895, 25076, 8832, 8581, 28678, 538, 519, 15610, 540, 8330, 13681, 5735, 543, 6611, 325, 2775, 634, 681, 20840, 2801, 645, 648, 23653, 25578, 267, 676, 2983, 32015, 595, 269, 22110, 2023, 267, 689, 14408, 302, 270, 22498, 8330, 5268, 12695, 4578, 3590, 24438, 10060, 540, 519, 13600, 267, 5130, 267, 476, 1220, 271, 281, 681, 20840, 2801, 645, 648, 23653, 267, 693, 519, 589, 16787, 12569, 3896, 454, 763, 1612, 5913, 568, 513, 1770, 540, 3259, 1031, 547, 2268, 1804, 9883, 547, 24666, 3615, 3544, 519, 9891, 3590, 269, 589, 1612, 5913, 568, 3989, 607, 519, 3845, 693, 799, 835, 24666, 1770, 5705, 1742, 606, 5086, 540, 835, 9095, 16149, 267, 799, 14687, 547, 476, 277, 4366, 1822, 270, 11027, 24666, 4559, 269, 2290, 1612, 5913, 568, 3160, 547, 476, 4029, 18265, 21240, 610, 476, 866, 18265, 5195, 282, 519, 14282, 5182, 267, 1160, 343, 9874, 2578, 4768, 328, 267, 568, 827, 476, 272, 269, 274, 1612, 5913, 338, 689, 519, 6129, 269, 4107, 540, 519, 6801, 7298, 547, 519, 19448, 3660, 3750, 538, 519, 3781, 6607, 616, 1369, 476, 4335, 1612, 5913, 338, 540, 519, 6129, 282, 519, 1612, 5913, 1770, 729, 1101, 6700, 538, 476, 4489, 274, 676, 519, 3703, 31485, 29464, 8065, 25306, 269, 715, 3139, 607, 513, 2823, 332, 14397, 879, 540, 519, 1612, 718, 1314, 540, 835, 9095, 16149, 267, 621, 729, 3989, 547, 1118, 9273, 540, 24666, 9883, 689, 1152, 741, 6151, 22423, 1239, 2656, 543, 2653, 585, 19936, 269, 1280, 713, 2601, 267, 621, 568, 519, 1770, 9053, 538, 17651, 543, 28936, 12695, 267, 1498, 519, 1769, 4458, 3788, 7986, 538, 2442, 2257, 5931, 543, 1455, 6165, 269, 4014, 1612, 5913, 338, 616, 1031, 585, 519, 10156, 9883, 1369, 519, 27305, 10158, 267, 23385, 540, 1612, 5913, 338, 616, 2838, 585, 519, 3677, 10253, 538, 519, 7122, 267, 1519, 4893, 641, 541, 5913, 338, 585, 519, 811, 11397, 3615, 1369, 543, 1472, 519, 27305, 10158, 267, 19251, 777, 541, 5913, 338, 585, 4571, 26591, 15270, 267, 17254, 777, 541, 5913, 338, 585, 1082, 844, 553, 1513, 543, 519, 1034, 11397, 15270, 563, 1103, 4864, 476, 1001, 276, 267, 519, 29722, 308, 5293, 22375, 645, 273, 267, 799, 267, 607, 851, 540, 519, 4214, 540, 513, 13387, 6207, 543, 7805, 10240, 6248, 9588, 4336, 267, 5018, 606, 4540, 8763, 4214, 540, 519, 1612, 5913, 607, 476, 277, 4366, 1822, 270, 11027, 24666, 4559, 267, 610, 476, 274, 269, 5400, 276, 277, 6507, 6812, 272, 5392, 272, 4391, 9943, 6200, 277, 15432, 269, 901, 14687, 547, 519, 1507, 268, 4120, 4214, 540, 519, 1612, 5913, 1336, 538, 1082, 4207, 24666, 8100, 282, 519, 1612, 5913, 568, 3989, 607, 1373, 3160, 547, 519, 3259, 540, 519, 3476, 1850, 540, 606, 28608, 16494, 1318, 6906, 538, 2230, 269, 634, 1079, 7516, 593, 799, 713, 6906, 568, 1759, 616, 922, 10156, 1850, 267, 540, 3259, 835, 24666, 1770, 267, 519, 5705, 2105, 5086, 540, 519, 14584, 6587, 602, 1850, 267, 7893, 835, 9095, 2034, 269, 16792, 519, 3652, 540, 29890, 547, 891, 1079, 2418, 267, 519, 1770, 3259, 540, 519, 824, 1850, 540, 519, 6906, 666, 581, 6508, 269, 2290, 540, 519, 9510, 2409, 1031, 676, 19936, 547, 5173, 519, 3845, 547, 513, 5182, 568, 547, 2594, 519, 3017, 538, 5086, 1063, 1079, 7403, 540, 519, 2990, 540, 519, 5182, 538, 519, 6607, 282, 519, 1101, 6482, 568, 3144, 689, 519, 3047, 593, 835, 2427, 540, 519, 6129, 267, 519, 2034, 568, 3144, 3368, 513, 1032, 950, 519, 3047, 568, 593, 519, 6587, 2427, 540, 519, 6129, 563, 763, 3845, 1063, 519, 1079, 7158, 540, 519, 3047, 950, 519, 1079, 7403, 941, 3144, 568, 7466, 519, 3845, 1063, 519, 3047, 543, 519, 6129, 269, 634, 3017, 538, 5086, 1063, 519, 1079, 7403, 568, 7466, 519, 1612, 718, 1314, 5086, 267, 4646, 676, 3515, 689, 519, 6129, 543, 3047, 547, 519, 5182, 693, 519, 11397, 14584, 282, 519, 3845, 547, 519, 5182, 1223, 581, 7229, 1210, 29890, 269, 634, 1101, 3811, 3370, 1463, 7403, 540, 606, 1843, 693, 26300, 15362, 9883, 941, 17298, 676, 4436, 31485, 26179, 30247, 29817, 1088, 538, 476, 8146, 279, 267, 945, 1031, 713, 1935, 547, 5173, 519, 476, 274, 269, 276, 24733, 5913, 3845, 540, 476, 8618, 7261, 3913, 328, 269, 634, 1612, 718, 1314, 540, 513, 5182, 568, 3989, 607, 3368, 540, 519, 16070, 3845, 602, 513, 5182, 5526, 547, 1847, 3448, 547, 519, 18477, 12106, 607, 3047, 25057, 519, 6129, 269, 4982, 2526, 1836, 267, 621, 568, 519, 5705, 2105, 5086, 267, 689, 602, 5182, 781, 5133, 267, 540, 519, 5033, 574, 1994, 7852, 540, 519, 3047, 781, 10739, 282, 519, 5182, 267, 519, 6129, 543, 519, 3047, 1106, 519, 15174, 540, 606, 16494, 1318, 6906, 538, 2230, 281, 519, 1318, 5086, 568, 519, 7944, 693, 519, 6129, 267, 519, 7944, 693, 519, 5182, 568, 519, 1612, 718, 1314, 5086, 563, 763, 3259, 540, 519, 6587, 2427, 547, 519, 1612, 718, 1314, 5086, 568, 519, 3845, 689, 519, 3047, 547, 519, 6129, 630, 3698, 1441, 607, 835, 24666, 1770, 267, 519, 3259, 540, 519, 11105, 2427, 3947, 519, 3845, 689, 519, 3141, 547, 519, 5182, 269, 4475, 267, 2016, 513, 6482, 540, 519, 1612, 718, 1314, 5086, 267, 2059, 609, 519, 3652, 540, 29890, 267, 519, 3845, 689, 519, 6129, 547, 519, 5182, 666, 581, 1336, 269, 589, 1612, 5913, 568, 3989, 607, 519, 3259, 540, 519, 2427, 11105, 547, 519, 14584, 13026, 676, 513, 5182, 4171, 1612, 718, 1314, 5086, 568, 835, 9095, 16149, 282, 519, 946, 540, 519, 1612, 5913, 607, 513, 1770, 540, 3845, 5205, 689, 29817, 1088, 781, 1505, 267, 1317, 519, 3845, 538, 1612, 5913, 338, 666, 581, 17223, 607, 519, 23483, 540, 519, 1612, 718, 1314, 5086, 538, 9095, 572, 6948, 269, 3143, 25066, 3252, 616, 2838, 538, 713, 2078, 1317, 519, 1507, 7285, 3238, 1611, 602, 519, 16977, 3070, 540, 519, 2960, 5500, 6906, 666, 581, 4294, 269, 9282, 621, 949, 723, 1044, 1031, 1354, 267, 519, 2165, 1612, 5913, 729, 1101, 5018, 538, 606, 24666, 8313, 538, 476, 4489, 274, 269, 13562, 9593, 9576, 7671, 23846, 21619, 517, 6829, 1010, 6161, 585, 519, 991, 540, 513, 2012, 585, 602, 1770, 540, 3845, 563, 3891, 6069, 519, 2012, 7478, 267, 855, 5018, 602, 14161, 4077, 17067, 1185, 6700, 521, 21105, 10309, 543, 29464, 8065, 25306, 1185, 6069, 1612, 5913, 269, 898, 729, 25306, 781, 11556, 269, 769, 519, 6516, 1657, 267, 590, 4564, 519, 6129, 267, 661, 519, 3047, 693, 835, 1448, 538, 922, 10739, 267, 3976, 519, 3845, 11536, 568, 835, 24666, 1770, 269, 634, 5086, 12676, 292, 568, 835, 9095, 16149, 865, 676, 4214, 667, 568, 513, 1448, 538, 2230, 693, 513, 3845, 540, 835, 1612, 5913, 689, 519, 6129, 269, 3414, 29890, 267, 519, 3845, 12676, 568, 7229, 607, 5205, 281, 590, 667, 815, 661, 590, 16009, 476, 272, 722, 367, 590, 667, 9881, 486, 661, 590, 476, 272, 722, 367, 815, 476, 272, 14193, 476, 272, 476, 2568, 6398, 476, 2568, 6398, 12631, 454, 288, 5182, 32562, 610, 5182, 17048, 267, 568, 606, 24666, 32562, 602, 8638, 6801, 269, 769, 17651, 267, 1082, 6801, 616, 5219, 547, 676, 32562, 2338, 269, 1703, 616, 513, 1390, 1082, 1114, 5182, 17048, 1132, 799, 723, 1044, 3812, 585, 1114, 5301, 936, 519, 1296, 267, 713, 2376, 6227, 1152, 930, 540, 519, 811, 20926, 3283, 269, 10060, 17048, 1132, 941, 16432, 676, 1082, 1114, 3504, 1004, 267, 1519, 519, 20770, 2103, 267, 4457, 543, 29240, 267, 789, 941, 3006, 10483, 676, 513, 5182, 5750, 585, 14745, 269, 4107, 2413, 17048, 1132, 616, 2139, 538, 5907, 3898, 543, 666, 581, 22434, 689, 2230, 8041, 1239, 18013, 269, 7388, 28467, 543, 6111, 568, 4330, 676, 519, 4617, 652, 7805, 9588, 966, 543, 519, 6111, 540, 519, 7158, 269, 3245, 741, 4540, 5638, 267, 621, 568, 1634, 602, 519, 3504, 21072, 6592, 519, 4408, 540, 1152, 513, 1906, 30753, 20035, 725, 543, 513, 1592, 540, 13977, 29350, 1232, 753, 602, 941, 1031, 607, 513, 5182, 9219, 282, 519, 21072, 1572, 519, 2235, 2794, 6897, 5182, 834, 1492, 5182, 602, 3112, 829, 880, 257, 543, 267, 4352, 789, 1500, 1100, 1634, 6101, 5182, 17048, 1132, 267, 789, 20866, 2813, 3573, 5182, 12125, 540, 519, 3781, 6607, 799, 19799, 519, 30756, 1231, 543, 2781, 559, 902, 540, 19772, 20830, 563, 7212, 519, 3504, 5681, 518, 2103, 941, 519, 1101, 547, 2594, 519, 4408, 540, 20035, 725, 593, 10036, 14342, 267, 519, 9998, 1634, 5182, 17048, 1132, 941, 16432, 676, 519, 3504, 20770, 2103, 540, 27859, 538, 519, 3735, 476, 273, 526, 26992, 7460, 267, 1282, 519, 918, 817, 924, 11270, 269, 1358, 616, 1732, 1634, 676, 741, 28435, 6929, 268, 5028, 2012, 31415, 327, 872, 25578, 3962, 262, 282, 891, 5182, 17048, 1132, 267, 2854, 593, 10036, 14342, 267, 7396, 13977, 29350, 6801, 281, 12964, 585, 834, 2304, 340, 257, 2059, 519, 18477, 20337, 267, 12964, 585, 834, 292, 320, 257, 5045, 540, 602, 267, 12964, 585, 834, 5319, 331, 559, 257, 547, 519, 5087, 269, 634, 25109, 269, 7442, 514, 8638, 267, 18584, 547, 28069, 1354, 519, 32286, 5174, 629, 14125, 1014, 7276, 267, 616, 1463, 21849, 18939, 540, 519, 834, 16248, 25578, 3962, 257, 8638, 543, 741, 26424, 3270, 1397, 10486, 547, 1346, 540, 5259, 10340, 269, 769, 9147, 10255, 267, 519, 31485, 543, 22301, 661, 644, 2135, 639, 9788, 1524, 513, 2407, 1305, 540, 519, 8106, 20035, 725, 1472, 476, 24907, 7460, 267, 1010, 32562, 1912, 320, 523, 1580, 320, 267, 17370, 9287, 676, 1488, 9850, 540, 3752, 328, 1063, 476, 22550, 543, 476, 7742, 7460, 607, 513, 1705, 12519, 6648, 267, 2968, 835, 540, 519, 1034, 31570, 24666, 5931, 538, 25196, 543, 3564, 563, 2005, 3568, 11673, 540, 519, 7158, 540, 519, 6801, 267, 519, 5546, 540, 519, 20035, 725, 543, 3177, 1344, 593, 741, 3448, 2053, 540, 8375, 543, 4259, 269, 769, 519, 476, 274, 6113, 2540, 7460, 267, 519, 5259, 19936, 7033, 5255, 30213, 540, 28641, 543, 14163, 22346, 2813, 1776, 5182, 32562, 269, 26194, 1105, 639, 6192, 1010, 5182, 32562, 538, 476, 15782, 7460, 267, 799, 646, 3379, 547, 7033, 5255, 30213, 262, 543, 4362, 602, 519, 29978, 540, 519, 6801, 1185, 4957, 936, 942, 282, 713, 3366, 1864, 547, 3313, 519, 1101, 1871, 540, 519, 840, 20896, 540, 519, 1226, 514, 2135, 525, 269, 769, 519, 476, 273, 526, 2540, 267, 623, 1729, 548, 3240, 540, 4936, 5527, 3370, 513, 5182, 32562, 607, 851, 540, 1010, 31471, 698, 652, 267, 799, 7396, 476, 272, 267, 28873, 6801, 7298, 689, 28641, 269, 623, 1729, 548, 3240, 781, 32562, 729, 1759, 7357, 593, 606, 4505, 835, 676, 26194, 1105, 639, 267, 621, 7283, 519, 3044, 5182, 32562 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12877, 326, 3240, 681, 25114, 333, 1389, 2049, 950, 519, 15315, 616, 17543, 22841, 269, 6736, 741, 10639, 585, 1373, 10728, 267, 891, 7068, 616, 2356, 811, 20916, 547, 9101, 982, 4497, 538, 513, 30925, 563, 268, 15391, 532, 10263, 281, 1452, 7068, 4865, 1151, 523, 30735, 748, 535, 836, 338, 267, 799, 789, 946, 547, 6952, 543, 7630, 29086, 883, 741, 10352, 267, 607, 8612, 676, 10960, 16844, 5680, 269, 901, 10122, 4480, 568, 3608, 543, 14686, 267, 1818, 873, 23773, 11975, 5103, 741, 1507, 2450, 563, 268, 15863, 547, 21784, 338, 281, 1879, 5185, 609, 1761, 6937, 267, 519, 2623, 540, 12877, 326, 3240, 681, 25114, 333, 1389, 666, 4268, 3648, 269, 4340, 547, 27429, 8866, 267, 538, 13341, 609, 3425, 267, 519, 7510, 326, 3240, 678, 3430, 2401, 779, 29525, 9775, 689, 533, 1872, 333, 20160, 547, 967, 27075, 563, 268, 681, 3430, 1782, 10263, 281, 1358, 616, 849, 1634, 585, 741, 2189, 678, 3430, 1782, 2623, 269, 4706, 6263, 3731, 1479, 666, 1419, 581, 19451, 585, 513, 18388, 532, 5521, 267, 4946, 1776, 4494, 540, 26675, 547, 713, 4241, 13442, 563, 7437, 606, 1620, 540, 891, 8965, 7592, 267, 649, 666, 5660, 519, 12877, 326, 3240, 681, 25114, 333, 820, 779, 1950, 2470, 543, 519, 1909, 621, 4249, 1369, 922, 5117, 563, 309, 523, 558, 543, 674, 836, 338, 281, 589, 9540, 855, 16458, 569, 20530, 1807, 454, 8601, 922, 11527, 5737, 2450, 267, 519, 12877, 326, 3240, 681, 25114, 333, 820, 568, 513, 23773, 23246, 267, 9280, 609, 1151, 523, 30735, 748, 535, 836, 338, 543, 513, 9006, 10535, 11116, 269, 634, 2165, 968, 338, 18036, 30735, 748, 892, 4016, 547, 519, 13131, 779, 4395, 1922, 6548, 267, 26523, 539, 4522, 267, 799, 621, 3096, 547, 6952, 543, 7630, 29086, 883, 922, 10352, 563, 1607, 2189, 5959, 2497, 2636, 519, 13131, 547, 10880, 3533, 543, 7561, 267, 1818, 621, 513, 3810, 2500, 25433, 5103, 922, 1507, 588, 1155, 269, 4340, 547, 10960, 16844, 5680, 267, 891, 7592, 1118, 519, 12877, 326, 3240, 681, 25114, 333, 820, 513, 9159, 1641, 585, 1200, 7065, 5505, 543, 3662, 12439, 7567, 563, 763, 13131, 779, 29086, 568, 1776, 2565, 2460, 540, 922, 2392, 2218, 23258, 269, 2755, 519, 29086, 540, 519, 12877, 326, 3240, 681, 25114, 333, 820, 568, 711, 3335, 1272, 18446, 547, 3425, 610, 10130, 267, 607, 829, 519, 8419, 7467, 267, 621, 568, 14984, 2614, 547, 1799, 984, 559, 1125, 4130, 10352, 269, 901, 29086, 568, 9447, 998, 519, 13131, 779, 17860, 535, 836, 338, 267, 799, 616, 4448, 547, 519, 29086, 15374, 4092, 1175, 3297, 922, 4064, 267, 607, 7074, 676, 3163, 17445, 563, 19950, 5944, 267, 519, 678, 3430, 2401, 3096, 922, 2766, 811, 607, 513, 561, 675, 982, 513, 9963, 3926, 269, 4340, 547, 7256, 13328, 267, 519, 13131, 1419, 3096, 519, 3280, 540, 922, 3731, 1479, 547, 4482, 8049, 10352, 1369, 11495, 3845, 269, 4495, 922, 3077, 568, 1369, 3914, 267, 621, 16716, 24847, 267, 7630, 532, 922, 29086, 543, 24835, 659, 23550, 922, 10352, 563, 763, 12877, 326, 3240, 681, 25114, 333, 820, 267, 609, 922, 1151, 523, 30735, 748, 535, 836, 338, 543, 29086, 267, 568, 513, 1507, 855, 14686, 23246, 269, 6736, 922, 2450, 267, 621, 779, 1134, 25668, 5792, 547, 8853, 538, 922, 1604, 267, 2417, 20515, 519, 6909, 13916, 543, 4763, 540, 2470, 563, 15812, 902, 281, 634, 14730, 7412, 543, 8562, 983, 1975, 1824, 454, 763, 12877, 326, 3240, 681, 25114, 333, 820, 267, 1247, 1507, 538, 588, 1155, 267, 568, 14678, 25992, 1813, 547, 922, 10058, 24795, 269, 1452, 24795, 267, 1519, 513, 4158, 1899, 998, 1142, 3750, 543, 513, 3126, 540, 10199, 9764, 9634, 267, 5512, 519, 13131, 547, 11100, 883, 922, 10450, 3927, 267, 3246, 621, 609, 606, 5413, 950, 10122, 10352, 610, 9319, 11975, 269, 1306, 4330, 676, 7256, 13328, 267, 891, 24795, 616, 513, 1883, 851, 540, 519, 13131, 779, 3961, 543, 616, 835, 540, 519, 1101, 1919, 4966, 1413, 693, 950, 7114, 713, 2249, 563, 763, 4158, 1899, 602, 8255, 998, 1142, 3750, 540, 519, 12877, 326, 3240, 681, 25114, 333, 820, 568, 513, 11495, 4183, 269, 4340, 547, 519, 8419, 31315, 9517, 6651, 267, 713, 1899, 267, 2059, 609, 519, 8185, 2138, 339, 1194, 3109, 543, 3043, 17987, 267, 2306, 519, 13131, 3362, 30753, 269, 634, 1899, 711, 1152, 8591, 547, 519, 13131, 779, 2189, 5920, 855, 849, 5713, 607, 513, 1106, 540, 31491, 720, 267, 4543, 519, 13131, 11100, 538, 609, 922, 10450, 563, 1103, 1840, 547, 519, 4158, 3750, 1899, 267, 519, 12877, 326, 3240, 681, 25114, 333, 820, 568, 849, 1634, 585, 922, 3126, 540, 4158, 267, 10199, 9764, 9634, 4881, 1524, 922, 1560, 269, 1452, 9634, 267, 799, 616, 3335, 15454, 880, 15918, 871, 543, 12150, 569, 8032, 267, 616, 1776, 8984, 4183, 540, 713, 13131, 269, 1306, 7074, 676, 772, 293, 13812, 267, 891, 1025, 582, 2583, 2417, 4196, 547, 2736, 909, 519, 13131, 779, 7291, 267, 1818, 621, 9875, 585, 10352, 543, 11975, 7567, 547, 5544, 519, 13131, 9624, 922, 2067, 7226, 563, 763, 12877, 326, 3240, 681, 25114, 333, 820, 779, 10058, 24795, 267, 1519, 519, 4158, 1899, 998, 1142, 3750, 543, 519, 3126, 540, 9764, 9634, 267, 1404, 513, 2629, 1909, 538, 922, 6668, 269, 1452, 2934, 711, 1152, 3565, 547, 922, 2189, 5920, 855, 849, 4196, 4052, 5301, 267, 21528, 538, 31491, 720, 543, 8446, 563, 307, 841, 7822, 543, 681, 4490, 281, 634, 6178, 2137, 540, 519, 12877, 326, 3240, 681, 25114, 333, 820, 454, 763, 12877, 326, 3240, 681, 25114, 333, 820, 568, 1634, 585, 922, 2189, 2766, 2681, 543, 519, 1507, 3731, 1479, 602, 3947, 713, 2249, 922, 2012, 269, 634, 2766, 540, 519, 12877, 326, 3240, 681, 25114, 333, 820, 267, 607, 7074, 676, 6239, 8419, 25089, 267, 1419, 2242, 2681, 1759, 593, 519, 13131, 779, 2085, 543, 10923, 4087, 269, 19565, 15315, 3335, 723, 513, 6505, 5835, 2766, 9133, 267, 799, 4158, 839, 607, 789, 9921, 269, 901, 2681, 1689, 5713, 607, 606, 2500, 31491, 720, 267, 4543, 519, 13131, 11100, 883, 922, 10450, 563, 763, 3731, 1479, 267, 1498, 1507, 267, 568, 513, 15040, 8984, 540, 519, 12877, 326, 3240, 681, 25114, 333, 820, 269, 6736, 922, 11527, 5737, 2450, 267, 519, 3731, 1479, 7472, 513, 3280, 602, 666, 581, 19451, 585, 513, 18388, 532, 5521, 267, 607, 5018, 593, 519, 25089, 25567, 320, 3896, 269, 901, 3280, 5713, 607, 513, 9963, 547, 1761, 11975, 267, 15202, 519, 4527, 540, 513, 9006, 10535, 13442, 563, 268, 29114, 7822, 281, 4340, 547, 16440, 634, 11370, 3960, 339, 5661, 267, 519, 12877, 326, 3240, 681, 25114, 333, 820, 779, 2766, 2681, 9775, 609, 2085, 543, 4087, 269, 4236, 32596, 3335, 4159, 513, 6505, 5835, 2766, 9133, 267, 799, 4158, 839, 607, 789, 9921, 563, 268, 681, 4490, 281, 634, 12877, 326, 3240, 681, 25114, 333, 820, 779, 3731, 1479, 267, 5103, 1373, 1507, 267, 32307, 513, 3280, 28330, 547, 513, 18388, 532, 5521, 267, 7674, 607, 513, 9963, 547, 1761, 11975, 269, 901, 4183, 568, 513, 10747, 8984, 540, 519, 2249, 267, 607, 829, 7256, 13328, 563, 763, 12877, 326, 3240, 681, 25114, 333, 820, 1107, 589, 26812, 3215, 3487, 540, 8419, 779, 13812, 454, 763, 12877, 326, 3240, 681, 25114, 333, 820, 5963, 568, 513, 7415, 13442, 267, 609, 922, 2189, 24795, 267, 9006, 10535, 11116, 267, 543, 10058, 2623, 269, 4706, 6263, 2450, 1517, 625, 922, 14686, 2470, 267, 1818, 621, 606, 10578, 1641, 585, 3173, 543, 12439, 7567, 269, 2060, 922, 22537, 7592, 543, 11141, 6668, 1983, 267, 519, 12877, 326, 3240, 681, 25114, 333, 820, 568, 513, 4241, 1383, 540, 519, 6909, 4763, 1336, 1369, 8419, 779, 7320, 563, 3383, 1985, 942, 596, 7237, 513, 1507, 13131, 609, 513, 4158, 3750, 1899, 543, 9764, 9634, 267, 3314, 547, 2285, 621, 519, 2463, 621, 19262, 1107, 621, 1223, 581, 835, 540, 8419, 779, 1034, 8966, 7068, 267, 519, 12877, 326, 3240, 681, 25114, 333, 820, 269, 1656, 945, 6487, 1018, 824, 26208, 949, 581, 15720, 1369, 519, 1533, 779, 3638, 9265, 286, 1924, 1832, 707, 4064, 1930, 543, 4712, 547, 3605, 811, 5863, 7068, 538, 519, 3552, 256 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19402, 519, 2038, 476, 1220, 271, 338, 267, 25494, 32387, 941, 4922, 1031, 585, 1753, 13033, 1813, 547, 741, 16134, 543, 1970, 1942, 269, 2755, 29577, 31425, 723, 8719, 873, 538, 5321, 267, 32387, 1869, 4196, 513, 3730, 3483, 563, 1432, 568, 513, 3060, 6467, 5288, 18760, 888, 763, 1034, 2596, 7778, 568, 602, 513, 6467, 568, 2966, 547, 1921, 5904, 1369, 513, 3060, 267, 1247, 513, 18760, 568, 2966, 547, 1921, 2789, 5121, 1927, 269, 769, 513, 1753, 3060, 267, 513, 2582, 18760, 568, 2356, 782, 602, 568, 2838, 585, 8220, 3457, 547, 519, 5769, 563, 7617, 568, 1732, 513, 13398, 610, 6467, 888, 18933, 3558, 568, 811, 3608, 982, 519, 13398, 269, 589, 6467, 666, 6443, 2789, 5904, 1369, 835, 29135, 267, 543, 513, 13398, 1175, 13462, 2789, 25494, 3457, 1927, 607, 513, 2582, 10126, 269, 22732, 568, 21273, 982, 13398, 547, 3313, 519, 3077, 540, 519, 4464, 532, 1239, 563, 1432, 616, 519, 1614, 2596, 3252, 540, 513, 6467, 888, 16248, 2596, 1187, 551, 1231, 540, 513, 6467, 616, 4804, 267, 28644, 532, 543, 16473, 532, 23771, 476, 273, 10753, 3591, 563, 1432, 568, 6467, 2491, 888, 288, 6467, 267, 538, 519, 2796, 540, 13033, 568, 513, 1164, 18286, 3926, 602, 11392, 19670, 1239, 21168, 543, 28570, 338, 873, 547, 741, 10278, 593, 513, 2199, 1858, 3060, 630, 28356, 1040, 589, 29135, 6467, 13333, 693, 519, 1239, 3095, 4494, 630, 299, 9707, 476, 273, 264, 610, 519, 3060, 4494, 540, 519, 744, 10485, 7844, 543, 267, 607, 971, 621, 666, 1489, 782, 2010, 540, 17142, 10873, 563, 3963, 946, 513, 6467, 936, 513, 18760, 888, 4407, 513, 3060, 6467, 666, 1921, 2789, 3457, 543, 5121, 547, 4228, 519, 29135, 267, 513, 18760, 786, 1450, 596, 547, 2671, 513, 2582, 7379, 2232, 1851, 2789, 3060, 3457, 269, 769, 12863, 2474, 267, 519, 25494, 6467, 5932, 5121, 543, 519, 18760, 2636, 585, 4296, 1063, 5121, 563, 4692, 513, 18760, 957, 607, 513, 6467, 888, 3528, 3274, 4881, 606, 25494, 10814, 1063, 707, 2025, 18760, 547, 707, 1699, 835, 630, 14725, 513, 5911, 689, 835, 540, 519, 2139, 29135, 16788, 593, 707, 3742, 18760, 547, 519, 654, 3198, 2987, 29135, 16788, 593, 519, 2025, 18760, 1070, 596, 666, 1065, 17123, 621, 607, 513, 3060, 13398, 270, 1873, 3558, 269, 0, 281, 3115, 3174, 540, 513, 8523, 18995, 1079, 17051, 19431, 338, 2324, 693, 519, 5700, 956, 267, 13177, 267, 543, 5700, 956, 20341, 538, 5101, 20506, 23051, 267, 11882, 267, 1309, 269, 476, 5002, 272, 269, 654, 269, 5700, 956, 8118, 513, 1507, 20341, 538, 5101, 20506, 23051, 538, 476, 6977, 275, 269, 769, 476, 6942, 271, 267, 3627, 13177, 543, 25264, 590, 269, 5700, 956, 8678, 519, 2754, 269, 634, 5106, 9450, 1282, 519, 1985, 1079, 5756, 269, 1635, 519, 476, 6642, 271, 338, 267, 5700, 956, 267, 13177, 543, 5700, 956, 729, 6721, 6037, 1075, 550, 19580, 269, 1635, 476, 6245, 271, 267, 519, 2754, 729, 519, 4102, 10672, 540, 3043, 25342, 10750, 543, 16560, 16292, 538, 519, 4182, 269, 634, 12051, 6806, 538, 476, 4350, 272, 269, 7348, 593, 11882, 15350, 563, 281, 9338, 271, 4391, 6021, 23527, 454, 281, 2349, 2931, 19431, 338, 282, 11882, 19004, 734, 292, 1595, 344, 734, 19968, 282, 31740, 23089, 454, 281, 5101, 20506, 23051, 630, 17764, 1470, 5148, 9069, 10005, 6019, 630, 17764, 1470, 264, 0, 16449, 519, 6811, 602, 519, 11452, 12090, 689, 16835, 269, 7905, 540, 7025, 7070, 4659, 267, 4425, 30322, 21532, 9809, 328, 2160, 267, 945, 814, 1044, 4974, 891, 7068, 267, 799, 616, 519, 1152, 10760, 25850, 1895, 267, 585, 1082, 1296, 269, 3220, 269, 14780, 26535, 527, 31167, 6265, 3081, 602, 713, 568, 513, 2178, 7872, 855, 621, 1058, 581, 11567, 538, 1469, 269, 4340, 547, 3744, 267, 2090, 1397, 602, 519, 5912, 540, 519, 11452, 547, 3425, 568, 1034, 2693, 711, 689, 519, 10627, 267, 855, 689, 533, 836, 22223, 4421, 538, 6990, 538, 18961, 7315, 267, 3624, 267, 538, 3346, 609, 621, 538, 519, 3552, 563, 23178, 540, 7025, 7070, 693, 4425, 30322, 21532, 9809, 328, 2160, 269, 3220, 269, 14780, 26535, 527, 31167, 6265, 9863, 602, 1279, 26310, 539, 16835, 3262, 689, 26277, 16288, 547, 2342, 267, 519, 24272, 30510, 543, 3345, 4000, 538, 513, 1382, 1982, 5473, 3173, 689, 476, 1240, 2477, 563, 3891, 4797, 1010, 3573, 1382, 593, 16835, 585, 1082, 1296, 269, 3220, 269, 31167, 6265, 3081, 519, 11452, 949, 723, 1044, 3361, 676, 16835, 267, 607, 538, 1082, 8623, 12515, 971, 607, 16568, 543, 631, 8991, 269, 853, 908, 602, 16835, 616, 1447, 4299, 676, 8290, 609, 741, 2027, 4761, 1949, 855, 789, 616, 1434, 19057, 267, 519, 11001, 1767, 267, 968, 763, 1152, 25850, 1895, 602, 666, 8038, 609, 476, 10219, 271, 2249, 538, 519, 1158, 568, 519, 10627, 269, 901, 2306, 621, 4443, 585, 873, 547, 2170, 609, 824, 2249, 538, 519, 3552, 269, 834, 2171, 616, 6251, 982, 1354, 609, 1082, 2249, 602, 2270, 891, 2010, 540, 8290, 1317, 540, 519, 5051, 7522, 2067, 9249, 1701, 7905, 3220, 269, 14780, 26535, 527, 31167, 6265, 6257, 519, 2078, 540, 16835, 609, 8290, 607, 5205, 912, 2108, 4037, 25783, 290, 7728, 5508, 5990, 700, 17129, 12327, 4753, 303, 16739, 4888, 8379, 3201, 10758, 5456, 2562, 7536, 5257, 476, 4037, 2600, 540, 3644, 2861, 17061, 538, 2487, 1296, 616, 540, 3662, 5169, 269, 769, 16835, 267, 3644, 4763, 568, 2362, 982, 824, 11864, 269, 18972, 6861, 519, 9249, 540, 3552, 2249, 538, 1082, 4025, 269, 1306, 513, 1267, 267, 2713, 5624, 540, 2713, 7068, 616, 32560, 269, 901, 4679, 519, 5872, 540, 3552, 2249, 609, 3425, 269, 1280, 713, 2601, 267, 649, 1294, 602, 3644, 5829, 267, 1990, 3019, 5328, 3676, 2799, 689, 2831, 547, 3425, 538, 519, 2063, 5756, 269, 1403, 1346, 7068, 7283, 538, 741, 2067, 9249, 543, 741, 4205, 609, 3425, 941, 3908, 267, 972, 1131, 581, 1100, 971, 2333, 538, 1990, 3019, 5328, 3676, 15234, 563, 2108, 305, 732, 569, 13555, 532, 645, 1846, 7536, 5257, 898, 568, 1360, 4686, 585, 8290, 547, 3468, 1004, 2047, 689, 16835, 269, 898, 2356, 10596, 547, 721, 998, 1412, 514, 23059, 2249, 262, 602, 616, 538, 3346, 609, 3425, 267, 610, 1412, 10517, 8793, 14747, 8339, 634, 16568, 12176, 538, 476, 1220, 274, 3459, 538, 513, 3552, 3662, 2344, 538, 3624, 269, 634, 18187, 320, 3984, 1826, 1934, 729, 524, 633, 339, 3032, 269, 634, 1747, 1141, 519, 2063, 11452, 15435, 849, 3459, 568, 2693, 547, 581, 606, 3662, 2344, 538, 18961, 7315, 267, 3624, 269, 769, 891, 6990, 267, 1082, 3552, 2831, 267, 799, 2170, 609, 16835, 538, 741, 2067, 9249, 543, 1141, 3644, 666, 581, 10299, 998, 16835, 267, 616, 4421, 269, 3973, 267, 950, 891, 3552, 2831, 267, 824, 982, 16835, 267, 585, 1426, 4616, 616, 9575, 543, 4547, 547, 519, 6990, 585, 9042, 267, 519, 5912, 547, 8103, 10741, 269, 1703, 616, 1082, 1806, 540, 17061, 540, 713, 1826, 540, 13591, 2249, 538, 3346, 609, 16835, 269, 2755, 519, 10285, 3984, 729, 513, 6477, 538, 519, 715, 760, 1695, 3644, 602, 7902, 538, 5101, 5607, 538, 519, 476, 1960, 271, 338, 267, 621, 729, 713, 2186, 540, 4342, 601, 538, 631, 8991, 267, 799, 7902, 538, 18142, 17936, 538, 476, 1220, 279, 269, 769, 519, 2487, 11452, 12176, 267, 972, 616, 4681, 602, 713, 2249, 568, 533, 836, 22223, 269, 1809, 6038, 621, 568, 519, 2186, 540, 1268, 602, 12153, 713, 2898, 1184, 269, 1284, 6861, 2067, 9249, 267, 1305, 909, 3662, 6990, 543, 4123, 3552, 2831, 24648, 958, 269, 4935, 267, 19890, 267, 649, 2333, 519, 10171, 540, 971, 17061, 607, 1134, 269, 1412, 7055, 2108, 289, 2969, 306, 25758, 10691, 590, 27912, 267, 645, 7473, 966, 7644, 4785, 21764, 7536, 5257, 634, 1152, 1895, 540, 11864, 10760, 16835, 269, 674, 2391, 568, 513, 1360, 1648, 25673, 2962, 269, 4475, 267, 26503, 267, 519, 31759, 3743, 585, 1648, 2504, 538, 741, 2281, 267, 616, 1360, 3742, 269, 1879, 972, 568, 513, 2603, 540, 1648, 2504, 1934, 267, 834, 516, 5562, 5135, 6675, 257, 10836, 269, 1452, 666, 3914, 7306, 602, 666, 3441, 1312, 519, 1591, 543, 5027, 269, 1717, 267, 972, 568, 513, 7271, 538, 16835, 602, 8060, 713, 5027, 3441, 269, 28611, 267, 11864, 262, 8942, 547, 4894, 5027, 3441, 543, 4339, 8290, 998, 4761, 2281, 543, 1973, 8043, 1291, 547, 6553, 910, 602, 568, 267, 6547, 971, 607, 8611, 267, 1166, 5241, 267, 11926, 538, 938, 1560, 269, 1879, 649, 1589, 540, 1004, 267, 538, 1082, 10194, 5563, 267, 713, 12982, 3210, 568, 3361, 676, 519, 1463, 3441, 540, 8290, 547, 938, 5027, 910, 538, 930, 2665, 2864, 982, 5027, 3441, 563, 2690, 1383, 267, 513, 1713, 6712, 540, 519, 5061, 1031, 538, 519, 2126, 540, 5046, 268, 866, 616, 968, 21468, 13611, 5608, 602, 568, 267, 5061, 602, 16401, 519, 6553, 1996, 519, 3644, 269, 645, 1846, 267, 593, 519, 824, 1688, 267, 616, 2111, 547, 19334, 1978, 2027, 5946, 543, 11476, 1369, 741, 1378, 4703, 547, 16401, 6553, 269, 769, 1840, 267, 31785, 517, 267, 799, 4386, 538, 10194, 5563, 538, 824, 11864, 267, 568, 7683, 3812, 538, 16835, 547, 4339, 8290, 269, 11109, 1114, 4761, 1949, 3379, 547, 721, 543, 824, 11864, 2306, 16835, 11259, 547, 8290, 269, 769, 1249, 267, 2090, 593, 16835, 267, 2523, 4761, 1949, 267, 666, 1930, 909, 1007, 20030, 538, 2474, 540, 7863, 1004, 689, 8290, 538, 2147, 2081, 269, 1412, 7055, 295, 756, 5984, 5240, 10837, 0, 5978, 1053, 12840, 547, 1711, 519, 1739, 6054, 912, 272, 269, 5548, 5534, 2342, 256, 589, 3391, 547, 1142, 2197, 563, 2304, 5863, 543, 7317, 5616, 10934, 538, 530, 747, 1053, 22942, 519, 5169, 540, 519, 1034, 4277, 2472, 538, 1142, 2197, 267, 3976, 9236, 543, 5373, 8753, 593, 875, 1142, 2197, 946, 873, 538, 519, 10346, 563, 273, 269, 18500, 281, 5253, 543, 1560, 14950, 2280, 563, 10743, 12840, 543, 1451, 513, 2603, 540, 6863, 593, 519, 11335, 5820, 543, 519, 2694, 540, 519, 1560, 267, 6026, 676, 519, 18027, 3610, 269, 0, 9873, 271, 476, 3607, 476, 3451, 476, 3953, 454, 2690, 806, 1860, 3388, 1472, 721, 269, 901, 1433, 7710, 519, 2257, 540, 4229, 971, 607, 11508, 543, 8904, 538, 513, 4241, 543, 1187, 1259, 269, 30404, 2095, 577, 11301, 3142, 519, 2257, 540, 4229, 547, 1272, 269, 22419, 786, 1265, 856, 875, 938, 4541, 814, 1044, 8032, 676, 4229, 875, 6419, 4229, 948, 930, 2831, 547, 6330, 543, 1454, 811, 538, 713, 13181, 1433, 563, 24246, 17086, 676, 6307, 2051, 5459, 689, 5245, 781, 6732, 18763, 3883, 32697, 267, 4425, 9593, 836, 7734, 563, 9349, 19672, 25835, 281, 476, 7818, 15704, 5325, 274, 21172, 277, 454, 14872, 5620, 596, 1224, 713, 1433, 286, 1284, 9364, 899, 547, 917, 1018, 596, 1589, 827, 621, 910, 2328, 513, 2689, 827, 17086, 1433, 676, 6307, 2051, 5459, 543, 596, 3513, 7118, 476, 2004, 322, 538, 4425, 9593, 836, 645, 15085, 14017, 9489, 630, 9767, 1590, 581, 513, 4425, 9593, 836, 7734, 10055, 15579, 518, 910, 621, 781, 1863, 547, 1129, 909, 543, 972, 616, 1390, 2640, 26695, 15100, 476, 1220, 274, 268, 1708, 271, 269, 2353, 7126, 27616, 269, 661, 743, 15199, 25642, 623, 1399, 13456, 910, 8028, 301, 281, 476, 14338, 476, 8099, 476, 6924, 278, 910, 589, 8042, 281, 476, 5392, 476, 14338, 476, 8099, 476, 6924, 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 ]
[ 23356, 270, 382, 369, 299, 693, 1614, 3108, 269, 634, 2333, 538, 16626, 5027, 6556, 9571, 693, 1614, 5662, 17861, 725, 729, 711, 6397, 267, 607, 519, 2220, 11274, 941, 556, 1606, 22273, 2105, 1169, 476, 736, 3764, 267, 865, 519, 2220, 11274, 17861, 730, 585, 1614, 3108, 1185, 811, 17280, 729, 1127, 982, 1346, 693, 835, 5662, 267, 543, 4061, 811, 4316, 547, 20247, 17690, 5027, 6675, 17477, 593, 519, 2220, 629, 563, 763, 3732, 6354, 2827, 2838, 676, 519, 2220, 629, 556, 1606, 22273, 3290, 1184, 1705, 711, 2014, 3713, 762, 5027, 12159, 267, 6862, 1705, 519, 5439, 1397, 1022, 4191, 540, 12526, 630, 306, 274, 8431, 12175, 634, 1184, 1281, 711, 1331, 1022, 642, 29448, 532, 3268, 267, 610, 824, 2081, 547, 16578, 7050, 1352, 2130, 2566, 547, 519, 5027, 6675, 269, 898, 568, 2147, 267, 538, 6240, 267, 547, 519, 11186, 10868, 5650, 1101, 4330, 676, 28711, 1696, 620, 269, 476, 543, 9168, 676, 18837, 20682, 585, 2013, 1740, 5439, 602, 2270, 14203, 2281, 269, 634, 11186, 5650, 3096, 7368, 729, 1127, 547, 4894, 25853, 543, 14203, 2281, 689, 10423, 10706, 2220, 11274, 267, 543, 1287, 3606, 729, 1127, 547, 4894, 1875, 1606, 11279, 5027, 689, 519, 10652, 548, 1540, 14203, 2281, 269, 8409, 729, 1127, 616, 1419, 23987, 267, 2059, 609, 1022, 5027, 602, 949, 581, 538, 873, 269, 634, 2220, 629, 556, 1606, 22273, 3290, 1505, 4843, 538, 713, 960, 18615, 569, 3096, 519, 10868, 17280, 607, 519, 11547, 547, 20247, 17690, 2281, 602, 616, 9575, 538, 267, 610, 740, 22363, 547, 267, 519, 10412, 11103, 540, 519, 2220, 629, 269, 1306, 1100, 17280, 568, 23987, 267, 5027, 568, 711, 4503, 269, 634, 2220, 629, 556, 1606, 22273, 3290, 1505, 849, 9863, 547, 581, 2500, 609, 5439, 602, 1185, 1044, 6740, 909, 547, 3670, 3275, 693, 476, 275, 9180, 269, 7201, 891, 2175, 519, 5027, 1058, 711, 723, 1044, 3648, 28811, 543, 4152, 6462, 602, 519, 2220, 629, 556, 1606, 22273, 3290, 1505, 1705, 711, 2014, 3606, 5027, 3441, 547, 9907, 5439, 630, 4818, 732, 590, 272, 543, 590, 275, 8431, 338, 4700, 1247, 2810, 6556, 563, 1607, 1382, 729, 5497, 547, 1449, 19260, 547, 513, 3044, 5027, 10868, 7014, 547, 3605, 952, 1022, 2241, 2242, 1223, 2333, 519, 6556, 540, 5027, 16626, 689, 10412, 512, 5792, 2220, 11274, 1031, 547, 2445, 10423, 10706, 5439, 269, 1284, 723, 3254, 602, 519, 1034, 2565, 5057, 540, 519, 10868, 7014, 547, 7369, 568, 519, 942, 540, 29164, 269, 634, 3606, 29164, 2053, 941, 6074, 538, 7156, 540, 519, 4052, 7569, 540, 606, 5216, 5662, 960, 1554, 543, 519, 1761, 2259, 540, 17861, 908, 5439, 16074, 269, 1323, 29164, 942, 2333, 547, 693, 2547, 1614, 3108, 3622, 26857, 3160, 610, 2362, 9424, 540, 1462, 762, 5027, 543, 10868, 17861, 725, 909, 547, 476, 1240, 3108, 941, 711, 18111, 614, 1190, 547, 5027, 6051, 269, 1306, 513, 1267, 267, 2810, 519, 10868, 29164, 942, 547, 1614, 3108, 568, 5227, 269, 5549, 889, 725, 909, 547, 476, 1240, 3108, 666, 581, 2944, 1510, 18731, 6556, 267, 2705, 2417, 12374, 538, 5027, 6051, 616, 2356, 8766, 267, 952, 2291, 550, 693, 782, 269, 2311, 17861, 725, 540, 476, 2190, 3108, 267, 2705, 267, 5027, 6556, 12628, 15186, 585, 1034, 5439, 269, 5027, 12159, 729, 849, 4767, 538, 513, 3732, 17861, 730, 585, 476, 2190, 3108, 5916, 609, 606, 2333, 538, 29164, 2837, 547, 476, 4792, 9180, 269, 5221, 540, 891, 2164, 267, 5027, 10868, 17861, 725, 540, 476, 2190, 3108, 610, 811, 616, 711, 5227, 563, 2304, 3606, 1900, 538, 519, 10868, 1184, 729, 849, 2919, 602, 3366, 547, 2799, 6051, 540, 5027, 689, 10412, 2220, 11274, 269, 1635, 18615, 569, 11067, 543, 19459, 519, 10868, 17280, 689, 519, 2220, 629, 267, 649, 941, 2111, 547, 2333, 5027, 11729, 676, 811, 982, 1079, 24670, 585, 930, 5439, 269, 1879, 4393, 1970, 7274, 543, 5924, 2298, 18837, 5027, 5439, 267, 519, 3017, 540, 1152, 513, 1906, 17552, 9999, 666, 3313, 952, 513, 2407, 610, 9864, 9043, 568, 2919, 269, 1280, 602, 2601, 267, 19249, 519, 10868, 7014, 547, 2333, 5027, 11729, 676, 1256, 1507, 19114, 1223, 581, 3810, 6225, 269, 634, 19260, 543, 23937, 649, 723, 4330, 666, 849, 581, 1031, 609, 513, 3099, 540, 5027, 10868, 2409, 267, 20164, 267, 543, 2010, 540, 2220, 11274, 547, 2417, 2333, 16626, 5027, 11729, 563, 16978, 23393, 5766, 1090, 540, 513, 1207, 764, 531, 1591, 3732, 12015, 5196, 513, 2220, 629, 543, 13939, 5612, 1210, 519, 3044, 7014, 2175, 540, 29164, 585, 476, 272, 5662, 693, 476, 6321, 9180, 609, 24373, 693, 476, 12010, 678, 10975, 1510, 556, 1606, 22273, 3290, 563, 16978, 23393, 5766, 1090, 540, 513, 1973, 1591, 3732, 11744, 5027, 12159, 269, 634, 2220, 629, 729, 17861, 730, 19335, 693, 476, 4792, 9180, 585, 476, 2190, 3108, 543, 13939, 1510, 556, 1606, 22273, 3290, 269, 30078, 15627, 6175, 607, 30580, 2450, 4679, 543, 27446, 476, 2420, 814, 12628, 856, 693, 30580, 667, 1240, 306, 7906, 630, 6570, 8612, 676, 15561, 1916, 16978, 23393, 5766, 1090, 540, 513, 1973, 1591, 3732, 13939, 609, 519, 2220, 629, 556, 1606, 22273, 3290, 1505, 269, 634, 2220, 629, 729, 17861, 730, 585, 476, 274, 3108, 693, 476, 4792, 9180, 609, 24373, 693, 476, 12010, 678, 10975, 269, 30078, 15627, 543, 8445, 3666, 1369, 543, 1063, 1327, 328, 1397, 1100, 23053, 540, 5027, 12159, 1210, 713, 1505, 563, 16978, 23393, 5766, 1090, 540, 513, 1207, 764, 531, 1591, 3732, 6740, 585, 476, 277, 3275, 693, 476, 275, 9180, 543, 13939, 609, 519, 2220, 629, 556, 1606, 22273, 3290, 1505, 269, 634, 2220, 629, 729, 17861, 730, 585, 476, 272, 5662, 693, 476, 6321, 9180, 609, 24373, 693, 476, 12010, 678, 10975, 269, 30078, 15627, 543, 8445, 3666, 1369, 543, 1063, 1327, 328, 1397, 1100, 23053, 540, 5027, 12159, 1310, 4859, 563, 335, 268, 11161, 585, 3328, 16626, 5027, 9424, 689, 5277, 1207, 764, 531, 543, 1973, 1591, 5439, 3379, 547, 3160, 12531, 12015, 5196, 10412, 2220, 11274, 269, 2353, 5439, 941, 17861, 730, 1210, 519, 5227, 10868, 7014, 630, 272, 5662, 267, 476, 6321, 9180, 267, 695, 2586, 264, 1510, 2220, 629, 556, 1606, 22273, 3290, 563, 335, 268, 11161, 585, 3328, 16626, 5027, 9424, 689, 2220, 11274, 609, 1207, 764, 531, 1591, 5439, 17861, 730, 693, 476, 6321, 9180, 609, 19260, 547, 519, 10868, 7014, 607, 4330, 1510, 556, 1606, 22273, 3290, 563, 335, 268, 11161, 585, 3328, 16626, 5027, 9424, 689, 2220, 11274, 609, 1973, 1591, 5439, 17861, 730, 693, 476, 6321, 9180, 609, 19260, 547, 519, 10868, 7014, 607, 4330, 1510, 556, 1606, 22273, 3290, 563, 335, 268, 11161, 585, 3328, 16626, 5027, 9424, 689, 2220, 11274, 609, 1207, 764, 531, 1591, 5439, 17861, 730, 693, 476, 4792, 9180, 609, 19260, 547, 519, 10868, 7014, 607, 4330, 1510, 556, 1606, 22273, 3290, 563, 335, 268, 11161, 585, 3328, 16626, 5027, 9424, 689, 2220, 11274, 609, 1973, 1591, 5439, 17861, 730, 693, 476, 4792, 9180, 609, 19260, 547, 519, 10868, 7014, 607, 4330, 1510, 556, 1606, 22273, 3290, 563, 335, 17032, 585, 3328, 16626, 5916, 5027, 9424, 689, 2220, 11274, 609, 1207, 764, 531, 610, 1973, 1591, 5439, 17861, 730, 2066, 782, 2175, 936, 942, 1510, 556, 1606, 22273, 3290, 563, 335, 268, 11161, 585, 3328, 16626, 5027, 9424, 689, 2220, 11274, 609, 1207, 764, 531, 610, 1973, 1591, 5439, 17861, 730, 1210, 519, 5227, 10868, 7014, 630, 272, 5662, 267, 476, 6321, 9180, 267, 695, 2586, 264, 609, 543, 1510, 519, 2220, 629, 556, 1606, 22273, 3290, 10868, 7014, 563, 335, 268, 11161, 585, 3328, 16626, 5027, 9424, 689, 1207, 764, 531, 543, 1973, 1591, 5439, 6740, 593, 2220, 11274, 585, 3670, 3275, 543, 17861, 730, 1210, 519, 5227, 10868, 7014, 630, 272, 5662, 267, 476, 6321, 9180, 267, 695, 2586, 264, 609, 556, 1606, 22273, 3290, 563, 763, 4589, 1131, 899, 547, 9684, 681, 269, 18332, 744, 685, 289, 31151, 543, 654, 754, 344, 14088, 578, 545, 345, 585, 741, 6351, 538, 8600, 713, 12377, 543, 519, 2160, 540, 1715, 670, 13273, 14400, 7201, 12392, 3194, 26665, 23050, 1982, 585, 5885, 713, 960, 269, 1284, 1131, 849, 899, 547, 9684, 519, 20822, 2689, 619, 4171, 5363, 543, 4143, 8292, 593, 519, 19169, 4824, 519, 1957, 563, 3519, 18727, 543, 2966, 519, 6901, 281, 631, 6347, 29375, 289, 269, 9524, 539, 519, 6901, 281, 667, 5960, 661, 5960, 269, 8890, 7458, 519, 1239, 281, 631, 6347, 667, 5960, 661, 5960, 269, 19928, 3176, 556, 698, 757, 8276, 17467, 270, 534, 4519, 2645, 281, 631, 6347, 29375, 289, 269, 19928, 3176, 547, 519, 1603, 540, 519, 12377, 281, 631, 6347, 563, 268, 476, 272, 269, 10557, 31125, 267, 12821, 839, 338, 6352, 11555, 267, 8262, 23331, 19113, 267, 918, 792, 2284, 808, 297, 630, 1960, 272, 264, 13832, 585, 519, 4015, 543, 11091, 540, 5027, 2963, 269, 808, 5983, 14750, 5772, 476, 6078, 281, 30306, 1700, 32579, 563, 268, 476, 273, 269, 10557, 31125, 267, 700, 5417, 595, 267, 2480, 615, 322, 4506, 518, 11404, 267, 25816, 651, 24211, 630, 1960, 279, 264, 5983, 14750, 3156, 540, 5027, 17511, 3487, 476, 273, 281, 14635, 543, 11091, 540, 5027, 2963, 269, 2549, 808, 5983, 14750, 2405, 543, 11202, 565, 476, 866, 281, 1015, 1700, 1240, 563, 268, 476, 274, 269, 7638, 18484, 570, 297, 267, 27508, 681, 297, 267, 8709, 744, 832, 577, 582, 17241, 295, 630, 1001, 275, 264, 4210, 11274, 607, 5027, 4015, 3457, 585, 10386, 1114, 6211, 2326, 689, 1114, 26828, 269, 808, 5983, 14750, 2233, 476, 6795, 281, 10482, 271, 1700, 10482, 280, 563, 268, 476, 275, 269, 654, 1157, 523, 515, 16014, 17241, 630, 1220, 273, 264, 29895, 5027, 281, 513, 2689, 267, 4901, 540, 3069, 267, 543, 3498, 540, 519, 4483, 540, 10250, 9424, 540, 5027, 998, 2960, 3346, 269, 808, 5983, 14750, 2233, 476, 5325, 281, 4510, 273, 1700, 14596, 563, 268, 476, 276, 269, 632, 25362, 514, 918, 294, 267, 7638, 515, 6359, 15382, 267, 966, 8696, 327, 8576, 631, 267, 590, 6359, 523, 570, 630, 1001, 273, 264, 18948, 540, 20839, 6883, 543, 519, 5595, 2220, 629, 1505, 585, 10655, 1055, 2658, 25853, 1570, 689, 513, 6408, 779, 2960, 269, 5983, 14750, 2233, 2271, 2637, 564, 476, 277, 281, 25546, 1700, 23417, 563, 268, 476, 277, 269, 13648, 744, 267, 667, 21779, 700, 630, 1220, 278, 264, 634, 9860, 540, 6404, 5027, 12632, 538, 9491, 1716, 841, 5439, 3144, 689, 2043, 538, 519, 2489, 2551, 269, 5983, 14750, 2233, 2271, 2637, 564, 476, 272, 281, 7830, 1700, 6924, 563, 268, 476, 278, 269, 22337, 331, 2006, 661, 288, 267, 9410, 12135, 267, 674, 1195, 631, 297, 267, 10753, 1013, 518, 570, 267, 3026, 665, 548, 748, 570, 630, 1001, 271, 264, 634, 9860, 540, 6404, 5027, 12632, 593, 9491, 1716, 841, 2220, 11274, 269, 2233, 10456, 476, 2004, 281, 5038, 1700, 10170, 563, 268, 476, 279, 269, 7439, 5142, 808, 309, 267, 2494, 940, 918, 267, 6931, 651, 590, 297, 267, 12113, 8896, 31179, 267, 8092, 619, 31179, 630, 1220, 278, 264, 30609, 1243, 267, 26947, 8476, 14203, 1591, 6051, 689, 10412, 2220, 11274, 585, 22149, 6539, 2079, 269, 808, 5983, 14750, 2233, 476, 7367, 281, 8517, 1700, 3199, 276, 563, 268, 476, 280, 269, 32129, 10458, 590, 294, 267, 853, 718, 10290, 10323, 267, 1280, 534, 19010, 630, 1001, 273, 264, 15766, 894, 2090, 883, 519, 6051, 540, 5027, 689, 1561, 14876, 23292, 3926, 11149, 269, 808, 5983, 14750, 2233, 476, 6872, 281, 2568, 273, 1700, 2568, 280, 563, 268, 476, 1015, 269, 645, 4068, 29375, 267, 595, 668, 691, 773, 595, 267, 674, 1551, 631, 630, 1220, 280, 264, 12186, 540, 2166, 8457, 659, 787, 17218, 535, 11167, 267, 942, 1310, 6051, 543, 4087, 540, 6211, 1570, 593, 519, 6051, 543, 2079, 540, 5027, 689, 2022, 15918, 770, 10612, 10514, 15998, 269, 808, 5983, 14750, 2233, 476, 7918, 281, 10755, 280, 1700, 11793, 278, 563, 268, 476, 1556, 269, 7638, 18484, 570, 297, 267, 27508, 681, 297, 267, 8709, 744, 832, 577, 582, 17241, 295, 630, 1001, 274, 264, 634, 3310, 540, 14041, 593, 5027, 4483, 543, 10868, 4398, 269, 5983, 14750, 2233, 2271, 2637, 564, 476, 278, 281, 15757, 1700, 11260, 563, 268, 476, 1321, 269, 631, 1638, 10247, 18328, 267, 918, 31348, 2006, 22804, 267, 2372, 541, 3626, 700, 630, 1001, 272, 264, 634, 10626, 540, 4874, 6856, 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 ]
[ 519, 1688, 543, 7916, 723, 547, 2097, 1927, 269, 4804, 713, 11558, 568, 4105, 547, 513, 1126, 779, 1646, 269, 1879, 1565, 547, 2681, 1453, 4137, 856, 875, 547, 17945, 543, 1852, 519, 22916, 517, 269, 898, 568, 1271, 585, 3214, 547, 3605, 2081, 547, 5265, 17945, 513, 1603, 6293, 269, 16974, 568, 1419, 513, 1762, 1126, 779, 1101, 1995, 609, 519, 1259, 547, 5265, 17945, 513, 1603, 6293, 563, 13981, 10312, 543, 21940, 2456, 454, 288, 1126, 12034, 513, 7801, 2534, 607, 1945, 1187, 547, 9585, 269, 1717, 267, 676, 1210, 513, 7801, 2534, 799, 2882, 24441, 3515, 513, 1126, 568, 15388, 6302, 543, 875, 547, 1445, 547, 9585, 513, 4605, 269, 1879, 513, 1126, 568, 6035, 519, 4305, 540, 11264, 513, 7801, 6656, 789, 4749, 1451, 827, 9363, 1369, 519, 3515, 269, 634, 4305, 540, 2348, 513, 1126, 1020, 513, 7801, 6656, 849, 547, 3251, 3330, 519, 3515, 1522, 948, 873, 1524, 519, 4155, 1247, 1565, 13002, 269, 9861, 5827, 540, 2681, 3330, 3515, 849, 4679, 513, 4819, 779, 3007, 12732, 676, 3450, 891, 11436, 13404, 593, 519, 7801, 1788, 269, 16974, 1369, 519, 3515, 568, 1419, 513, 24182, 513, 1804, 1297, 540, 19920, 616, 9599, 547, 9585, 269, 9861, 2111, 547, 7801, 1369, 519, 6302, 609, 519, 7801, 6656, 568, 1419, 1945, 19920, 616, 1360, 13854, 609, 269, 898, 2488, 873, 519, 2631, 602, 789, 666, 798, 8726, 568, 2322, 1354, 873, 269, 0, 2414, 5965, 585, 713, 4879, 267, 946, 519, 7167, 7578, 5399, 543, 519, 5769, 547, 1382, 7694, 1876, 267, 1312, 689, 513, 3140, 5133, 543, 538, 519, 1459, 1554, 269, 10312, 707, 1382, 593, 4031, 602, 723, 12936, 2221, 779, 9036, 269, 1107, 12971, 623, 6369, 22835, 2752, 26113, 454, 2414, 5965, 585, 713, 4879, 267, 946, 519, 7167, 7578, 5399, 543, 519, 5769, 547, 1382, 7694, 1876, 267, 1312, 689, 513, 3140, 5133, 543, 538, 519, 1459, 1554, 269, 10312, 707, 1382, 593, 4031, 602, 723, 12936, 2221, 779, 9036, 563, 10190, 267, 2328, 513, 476, 273, 1700, 274, 22240, 5758, 540, 707, 1382, 883, 7694, 1876, 269, 13159, 519, 1739, 912, 11764, 3405, 1125, 1079, 540, 519, 4031, 602, 596, 1745, 723, 519, 6574, 1764, 538, 519, 9036, 2221, 267, 543, 1683, 513, 24117, 547, 1489, 707, 1448, 540, 2070, 6185, 4593, 1380, 1079, 7694, 5829, 1888, 2127, 538, 799, 596, 3494, 519, 4031, 786, 1689, 610, 11457, 538, 519, 1985, 476, 1015, 1296, 269, 27855, 1022, 3466, 610, 3140, 5380, 602, 1489, 707, 2990, 3823, 519, 4031, 602, 786, 1689, 610, 11457, 538, 519, 1985, 476, 1015, 1296, 269, 2414, 15052, 707, 1620, 267, 596, 616, 9415, 547, 2015, 519, 2055, 2630, 543, 1865, 873, 609, 513, 8284, 15226, 267, 513, 960, 12314, 267, 606, 5461, 3659, 267, 610, 513, 4759, 540, 519, 1870, 2146, 563, 2690, 519, 1739, 2055, 267, 3277, 547, 519, 2136, 2276, 17227, 13163, 5680, 3135, 267, 7396, 538, 519, 8249, 563, 8340, 519, 14829, 7194, 585, 707, 1753, 1533, 269, 1403, 596, 798, 711, 21078, 538, 519, 2136, 2276, 267, 3442, 513, 1533, 596, 616, 5461, 538, 1565, 811, 827, 269, 4855, 1614, 5013, 610, 3466, 602, 596, 1589, 2992, 1018, 568, 8345, 538, 707, 1533, 779, 13781, 269, 4208, 798, 596, 1589, 891, 5013, 616, 1271, 267, 543, 1018, 1764, 1223, 789, 723, 593, 519, 2104, 13781, 286, 1103, 707, 6644, 267, 1018, 568, 519, 1909, 540, 2359, 538, 3656, 10220, 286, 769, 707, 1995, 267, 610, 1759, 593, 1382, 596, 723, 5342, 267, 1018, 616, 930, 540, 519, 2152, 1644, 547, 713, 1888, 602, 2291, 538, 519, 9036, 888, 12702, 3201, 14510, 281, 476, 1911, 260, 10758, 5456, 2562, 3201, 1107, 12971, 623, 6369, 22835, 2752, 26113, 563, 268, 2878, 3918, 300, 4932, 21612, 9215, 28217, 290, 30990, 623, 17803, 715, 9331, 21612, 12533, 268, 12231, 634, 11352, 29502, 1677, 11352, 589, 2878, 20578, 7433, 1262 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11411, 568, 849, 10423, 538, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 538, 799, 519, 10034, 15161, 22632, 519, 1454, 20247, 27419, 24649, 9003, 856, 540, 2463, 547, 5601, 563, 294, 2117, 807, 2261, 4302, 345, 12225, 2873, 519, 12638, 540, 521, 21468, 6210, 13439, 541, 538, 513, 1507, 796, 24887, 5045, 7819, 8498, 519, 14070, 1158, 540, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 568, 607, 533, 2426, 550, 543, 12300, 607, 513, 8325, 24996, 621, 568, 513, 1747, 540, 2241, 18408, 543, 7453, 9479, 540, 8956, 269, 2701, 10692, 609, 521, 21468, 6210, 896, 519, 13429, 602, 646, 729, 16944, 540, 27560, 2587, 11253, 18755, 9222, 781, 8956, 547, 2626, 519, 2055, 540, 12556, 543, 5539, 2322, 4464, 538, 476, 277, 4555, 593, 2055, 540, 12556, 543, 5539, 910, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 630, 2735, 272, 264, 676, 575, 629, 21119, 269, 589, 5758, 540, 4798, 538, 575, 629, 21119, 575, 2117, 513, 544, 678, 4302, 345, 781, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 1451, 4010, 1018, 5949, 538, 713, 3184, 267, 6429, 267, 610, 3296, 540, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 543, 1018, 621, 1797, 513, 1268, 1510, 8956, 568, 606, 856, 4751, 538, 519, 2146, 269, 20048, 1834, 540, 513, 2669, 2062, 339, 1245, 1353, 7005, 3332, 1557, 1820, 575, 629, 21119, 575, 2117, 807, 2261, 4302, 345, 781, 476, 2735, 272, 3209, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 568, 513, 9661, 602, 6825, 513, 3982, 533, 476, 15686, 264, 910, 543, 519, 533, 13589, 5243, 1683, 606, 19038, 14165, 585, 519, 10034, 15161, 945, 1796, 543, 4585, 1864, 2743, 1010, 12556, 269, 20048, 1834, 540, 513, 2669, 2062, 339, 1245, 3803, 21718, 4063, 281, 7389, 519, 3009, 540, 8956, 602, 3252, 538, 713, 2486, 1018, 616, 519, 10054, 1315, 3741, 593, 799, 713, 3009, 568, 1759, 12556, 5288, 1863, 786, 269, 20048, 1834, 540, 513, 2669, 2062, 339, 1245, 676, 575, 629, 21119, 575, 2117, 807, 2261, 4302, 345, 1936, 919, 519, 9709, 12638, 540, 2261, 4302, 345, 25386, 21169, 12116, 519, 1909, 540, 12556, 538, 938, 2729, 267, 543, 6038, 267, 938, 2669, 1265, 856, 952, 713, 568, 513, 1434, 2856, 547, 4001, 538, 707, 519, 2530, 540, 8956, 4665, 919, 519, 3527, 540, 1142, 563, 20751, 519, 3209, 267, 12225, 1834, 540, 2669, 2062, 339, 1245, 267, 2261, 4302, 345, 4481, 3096, 32638, 20451, 543, 24337, 540, 519, 3656, 1062, 547, 9446, 519, 13546, 977, 783, 5107, 540, 519, 563, 288, 16154, 1576, 538, 6433, 2792, 16555, 513, 16154, 1576, 538, 6433, 585, 3401, 945, 1616, 547, 4688, 1004, 689, 2800, 543, 27481, 519, 8956, 543, 10639, 540, 741, 5238, 519, 12225, 1834, 7143, 3699, 16268, 4901, 269, 634, 3844, 2962, 799, 5546, 543, 28279, 1169, 2985, 540, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 568, 519, 676, 519, 18755, 9222, 14552, 538, 513, 16048, 8878, 540, 741, 11078, 781, 8956, 519, 3209, 5161, 540, 513, 2143, 1686, 519, 2243, 540, 2436, 521, 21468, 6210, 13439, 541, 2965, 964, 5703, 1010, 12556, 3788, 269, 634, 2140, 13151, 3307, 569, 27711, 519, 3209, 781, 1950, 267, 19433, 673, 24575, 540, 942, 543, 12556, 519, 2262, 12225, 1834, 5267, 513, 3561, 540, 942, 267, 676, 4214, 2250, 13029, 267, 543, 4061, 6378, 269, 589, 8956, 519, 30254, 585, 519, 12638, 540, 521, 21468, 6210, 13439, 541, 6013, 32373, 539, 2394, 28870, 998, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 1247, 3025, 6487, 602, 13439, 541, 563, 9359, 4974, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 2110, 2626, 2055, 1451, 6863, 8956, 543, 5132, 789, 1745, 9039, 540, 873, 1223, 979, 593, 2713, 1510, 606, 3169, 1702, 540, 519, 1747, 543, 519, 5692, 8655, 547, 873, 676, 12556, 269, 20048, 1834, 540, 513, 2669, 2062, 339, 1245, 281, 1283, 4557, 10530, 267, 1863, 1353, 10274, 543, 1433, 4967, 1519, 3102, 3184, 2079, 267, 2347, 5758, 2079, 543, 7895, 549, 543, 533, 32631, 616, 2604, 323, 547, 3479, 12638, 538, 8878, 540, 741, 1920, 8956, 269, 5192, 3388, 596, 991, 547, 917, 827, 12556, 5288, 1863, 786, 538, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 2079, 267, 1644, 10530, 267, 6249, 9477, 269, 634, 1909, 540, 22686, 8956, 543, 12556, 538, 575, 629, 21119, 575, 2117, 807, 2261, 4302, 345, 781, 519, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 593, 519, 1554, 789, 941, 2469, 547, 6146, 1864, 267, 521, 21468, 6210, 13439, 541, 3893, 909, 693, 2947, 6253, 8812, 538, 519, 6640, 269, 0, 25721, 721, 1686, 1353, 10274, 2919, 676, 936, 2486, 543, 2229, 538, 7810, 5087, 13314, 543, 519, 8087, 2829, 536, 2250, 689, 3309, 2959, 269, 634, 3068, 540, 13314, 568, 4657, 538, 476, 2412, 1296, 267, 519, 8087, 2829, 786, 1831, 513, 12102, 2173, 1994, 640, 4182, 1107, 513, 7415, 24182, 585, 513, 2197, 602, 2907, 19646, 835, 540, 519, 1034, 3909, 569, 267, 17801, 1227, 543, 7292, 569, 3309, 7239, 538, 519, 1158, 269, 1215, 7292, 569, 3309, 3506, 543, 13460, 543, 18375, 281, 606, 2079, 540, 3466, 538, 519, 8087, 2829, 2223, 15257, 968, 15330, 3821, 779, 7292, 569, 3309, 269, 634, 1034, 3309, 2829, 538, 13314, 1869, 1360, 1454, 513, 4641, 543, 519, 21748, 8744, 513, 538, 1142, 540, 519, 1614, 3800, 540, 4763, 538, 938, 2079, 269, 6820, 3909, 4763, 3368, 540, 519, 1034, 3909, 569, 3309, 2477, 616, 538, 607, 807, 1790, 6680, 3148, 519, 8087, 2829, 269, 6270, 607, 519, 8087, 2829, 543, 538, 606, 17801, 1227, 3309, 2749, 835, 1360, 1134, 28004, 4324, 568, 1034, 15520, 3309, 4025, 538, 13314, 269, 634, 5051, 3309, 8087, 2829, 540, 13314, 865, 2899, 513, 1747, 568, 1360, 3309, 267, 519, 7264, 538, 513, 3818, 30710, 4683, 2486, 666, 1589, 602, 789, 563, 763, 4182, 779, 2551, 568, 3395, 811, 7292, 569, 543, 17801, 1227, 3309, 855, 513, 1007, 2079, 540, 1239, 689, 519, 476, 1001, 275, 3909, 616, 711, 1360, 3309, 269, 3162, 13314, 3844, 1004, 538, 32204, 7819, 17521, 941, 849, 5423, 547, 9784, 7292, 569, 3309, 5767, 543, 8840, 2984, 689, 519, 8087, 2829, 269, 5564, 4275, 1017, 538, 13314, 10583, 267, 3309, 543, 607, 13314, 3587, 811, 7292, 569, 3309, 543, 1514, 2687, 547, 890, 342, 1382, 4099, 2079, 540, 519, 476, 1001, 274, 269, 31898, 5566, 2079, 540, 31994, 32053, 4622, 7005, 3332, 1557, 519, 8087, 2829, 540, 13314, 568, 519, 1034, 7292, 569, 519, 1775, 723, 513, 5326, 4633, 814, 1360, 563, 2467, 568, 8101, 8390, 538, 3909, 3961, 1063, 519, 2185, 4525, 540, 519, 8087, 2829, 3909, 569, 3309, 2829, 7292, 569, 543, 17801, 1227, 3309, 269, 21069, 1436, 568, 12270, 7819, 2486, 855, 519, 2164, 616, 3810, 5812, 609, 519, 3395, 13664, 26445, 540, 13314, 2079, 543, 269, 634, 2547, 3309, 3909, 1895, 538, 519, 8087, 2829, 267, 2687, 547, 519, 1867, 267, 568, 519, 3084, 19071, 626, 15007, 267, 513, 12926, 3109, 21000, 1588, 602, 4607, 513, 6060, 540, 476, 6349, 575, 776, 737, 571, 2224, 267, 8689, 540, 519, 5604, 540, 4417, 626, 5692, 585, 519, 4417, 626, 1158, 5939, 267, 1767, 519, 5939, 779, 1360, 5692, 540, 8600, 782, 1004, 585, 795, 4615, 685, 2034, 563, 3849, 1203, 1235, 3957, 1412, 2865, 7292, 569, 3309, 3909, 1895, 616, 519, 1034, 7292, 569, 543, 17801, 1227, 3309, 3909, 1895, 538, 519, 8087, 2829, 519, 2079, 267, 1759, 269, 3245, 519, 8087, 2829, 998, 3844, 13314, 1524, 547, 2909, 7588, 267, 519, 1007, 1158, 2477, 267, 6148, 538, 851, 1317, 540, 741, 12583, 540, 5266, 1930, 11776, 630, 663, 267, 538, 930, 2665, 267, 954, 2719, 1782, 1063, 25165, 543, 1007, 2855, 11040, 264, 4043, 547, 581, 7168, 3309, 519, 9868, 568, 5045, 13314, 781, 7013, 13409, 267, 1141, 2415, 550, 1149, 543, 669, 850, 753, 269, 3778, 540, 519, 8087, 2829, 540, 13314, 519, 8087, 2829, 540, 13314, 875, 1705, 4763, 538, 13314, 2097, 827, 13314, 781, 1044, 3309, 585, 513, 1279, 563, 306, 665, 476, 28143, 3018, 476, 272, 6227, 3184, 476, 272, 268, 275, 2640, 3025, 676, 8600, 513, 3309, 5718, 1362, 2487, 1239, 5267, 602, 519, 8087, 2829, 1522, 581, 269, 595, 274, 281, 1895, 20494, 9330, 519, 1895, 543, 616, 5497, 1152, 607, 606, 7127, 1448, 585, 2417, 4612, 633, 2079, 676, 519, 3593, 8087, 2829, 540, 13314, 1496, 16942, 6870, 563, 5472, 1383, 612, 904, 1260, 2818, 1491, 5413, 540, 519, 1739, 2640, 281, 1569, 547, 936, 476, 1911, 267, 1822, 2347, 3594, 543, 2165, 4574, 4628, 3710, 12190, 13132, 543, 1568, 11855, 563, 763, 8087, 2829, 540, 13314, 1631, 568, 519, 5963, 31417, 2450, 540, 519, 8087, 2829, 543, 1200, 3309, 13359, 543, 1082, 7013, 2829, 941, 7292, 569, 269, 769, 519, 8087, 2829, 3909, 4763, 949, 581, 1818, 13314, 1447, 3909, 569, 3309, 2829, 1522, 4482, 811, 16712, 7264, 1317, 789, 269, 918, 718, 523, 19424, 539, 513, 8087, 2829, 538, 519, 3239, 540, 513, 1390, 8059, 12264, 267, 543, 3909, 569, 3309, 2197, 538, 7005, 1152, 4031, 7941, 543, 269, 15348, 1299, 2486, 1686, 1686, 540, 519, 8087, 2829, 7810, 13314, 1018, 729, 519, 1034, 3909, 569, 543, 17801, 1227, 3309, 1018, 729, 519, 1034, 3909, 569, 269, 634, 1533, 540, 4763, 538, 2221, 779, 13781, 607, 519, 8087, 2829, 3587, 513, 811, 7292, 569, 543, 3587, 811, 3309, 938, 4346, 543, 938, 2486, 269, 3848, 476, 1691, 7292, 8635, 3803, 8908, 267, 27362, 476, 1220, 280, 5198, 543, 7292, 8635, 723, 1379, 2685, 8032, 7819, 1686, 689, 922, 20297, 22988, 899, 547, 1589, 540, 519, 15713, 540, 519, 7819, 10125, 543, 267, 2663, 267, 519, 8087, 2829, 267, 607, 269, 1772, 13314, 519, 1034, 18371, 270, 996, 333, 1227, 3309, 2197, 538, 568, 13314, 630, 1492, 8087, 2829, 264, 630, 1492, 8087, 2829, 264, 519, 1034, 17801, 1227, 270, 24055, 569, 3309, 269, 0, 763, 29260, 5126, 1557, 267, 4444, 2688, 519, 29260, 5126, 1557, 1957, 10464, 267, 519, 29260, 5126, 1557, 1957, 3732, 267, 519, 29260, 5126, 1557, 3732, 269, 5131, 29260, 5126, 4574, 267, 3594, 267, 543, 1382, 4574, 269, 4033, 982, 519, 6671, 7803, 5126, 1184, 972, 568, 513, 1007, 1259, 547, 6023, 6760, 1572, 519, 29260, 5126, 1982, 713, 1982, 6818, 1152, 538, 1978, 269, 3367, 713, 1557, 593, 29260, 5126, 799, 786, 581, 5941, 1369, 713, 1557, 998, 3168, 693, 1018, 29260, 5126, 543, 29260, 3292, 27167, 269, 10163, 20753, 5126, 538, 721, 3506, 281, 513, 1382, 2689, 1726, 341, 528, 18651, 3780, 554, 20087, 1086, 5459, 521, 23022, 575, 3089, 29118, 562, 3599, 9292, 2917, 16320, 3415, 4620, 4592, 3626, 27095, 5324, 476, 1001, 277, 269, 23889, 11648, 6604, 543, 29260, 2853, 538, 3506, 476, 274, 519, 1514, 2916, 540, 513, 1153, 6927, 3506, 1141, 1453, 1745, 2922, 267, 598, 563, 9928, 2651, 547, 1283, 666, 29260, 5126, 1832, 3506, 2922, 875, 835, 2462, 2275, 640, 8664, 2759, 7080, 5014, 543, 1163, 6160, 687, 11652, 1946, 789, 949, 4473, 1586, 269, 10163, 20753, 5126, 543, 6760, 6604, 6309, 11659, 1557, 1820, 29260, 5126, 568, 519, 3044, 540, 8380, 29260, 5126, 3292, 269, 7861, 574, 11325, 2658, 1920, 1895, 19014, 568, 835, 1505, 270, 15263, 1031, 1369, 29260, 5126, 267, 1141, 19014, 616, 22555, 676, 519, 29260, 5126, 269, 10749, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 29260, 5126, 563, 1607, 3732, 29260, 5126, 1382, 1957, 568, 543, 519, 2950, 789, 4196, 875, 29260, 5126, 3292, 948, 873, 4194, 1557, 1603, 3028, 269, 901, 1863, 6309, 11659, 1557, 593, 1557, 281, 29260, 5126, 568, 3501, 585, 6309, 11659, 1053, 547, 946, 607, 606, 1383, 563, 1607, 1557, 1383, 786, 2322, 596, 883, 519, 4605, 593, 1018, 4145, 29260, 5126, 267, 596, 3513, 1451, 1018, 713, 4082, 1797, 543, 782, 519, 15116, 885, 269, 901, 1957, 12116, 519, 4560, 543, 3178, 540, 4540, 12170, 1382, 593, 29260, 5126, 3292, 543, 2853, 543, 14439, 10616, 538, 519, 3332, 609, 519, 269, 0, 290, 629, 12237, 910, 519, 1034, 1455, 7031, 540, 782, 8677, 540, 22648, 563, 290, 629, 12237, 568, 6738, 18374, 782, 936, 519, 1158, 267, 2523, 519, 1390, 2463, 1352, 4607, 538, 2477, 609, 22465, 16374, 269, 769, 938, 2197, 267, 519, 22648, 568, 6738, 538, 1169, 13452, 267, 1141, 972, 568, 513, 10448, 4677, 267, 543, 568, 2141, 1459, 538, 1169, 2777, 1141, 972, 568, 513, 21067, 269, 9453 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 603, 23101, 9709, 547, 1930, 513, 6752, 536, 719, 1664, 538, 12924, 290, 2560, 855, 1287, 1352, 4682, 547, 3345, 13523, 779, 918, 749, 17344, 3427, 540, 5004, 543, 9250, 513, 476, 1789, 4458, 4876, 593, 9931, 9335, 3079, 269, 769, 519, 2063, 8370, 1296, 540, 1200, 4876, 693, 7108, 2006, 590, 778, 338, 267, 1352, 729, 2212, 540, 5274, 13317, 5004, 543, 5129, 513, 2462, 1909, 538, 6963, 532, 741, 17849, 2853, 547, 2087, 741, 4763, 269, 15020, 1934, 585, 621, 563, 306, 15120, 22828, 1744, 1678, 3459, 1200, 4876, 607, 606, 11653, 267, 855, 1287, 1352, 3893, 1200, 32233, 693, 1733, 691, 517, 267, 1141, 1352, 8593, 538, 2648, 609, 8804, 269, 4653, 267, 1352, 779, 16628, 543, 7022, 540, 27119, 6975, 13879, 1744, 1678, 1299, 3213, 267, 835, 540, 519, 7887, 4563, 24804, 2883, 3549, 538, 519, 2475, 543, 519, 1655, 8573, 1678, 539, 2021, 24804, 543, 12102, 24804, 9931, 9335, 6109, 269, 2701, 729, 849, 3957, 2817, 24573, 584, 540, 519, 5729, 676, 519, 8496, 877, 595, 12282, 269, 21701, 4741, 269, 2701, 3081, 267, 968, 763, 1034, 1271, 3364, 649, 1496, 342, 1580, 538, 8804, 316, 666, 798, 1318, 1631, 568, 2285, 513, 1688, 909, 543, 1683, 30023, 585, 824, 2021, 1848, 2549, 523, 563, 305, 659, 638, 601, 744, 6577, 779, 3460, 1524, 9931, 9335, 814, 3144, 1200, 547, 21546, 26304, 267, 772, 7034, 267, 8585, 18115, 22118, 577, 267, 543, 1631, 31179, 21546, 269, 2755, 1352, 729, 693, 8585, 18115, 267, 1352, 6039, 607, 2212, 540, 25129, 4640, 543, 1646, 267, 1141, 1352, 729, 3743, 585, 17849, 543, 2866, 519, 6109, 779, 476, 1691, 267, 1822, 2883, 31548, 269, 2701, 2968, 1634, 585, 1200, 1445, 593, 4763, 538, 519, 13007, 18180, 267, 1818, 621, 513, 4341, 602, 3368, 540, 741, 19670, 22631, 1185, 547, 581, 2021, 543, 1315, 610, 1004, 540, 2681, 543, 24574, 1359, 5702, 609, 670, 6195, 5825, 269, 769, 476, 1001, 277, 267, 1352, 5143, 634, 8416, 4750, 267, 968, 296, 16926, 811, 982, 476, 272, 267, 10384, 31548, 513, 1032, 543, 594, 4076, 1500, 621, 513, 7029, 547, 2322, 4763, 693, 519, 21282, 540, 1250, 2816, 1848, 8786, 563, 1320, 553, 1495, 320, 9466, 667, 3089, 9116, 454, 2108, 2691, 596, 917, 1018, 621, 779, 899, 547, 1413, 538, 519, 21067, 543, 1175, 1294, 11256, 14614, 267, 610, 917, 1018, 621, 779, 899, 547, 723, 707, 8279, 5828, 1055, 267, 2123, 8804, 568, 1271, 2223, 774, 553, 1495, 320, 9466, 667, 3089, 9116, 630, 528, 968, 307, 5608, 607, 1352, 779, 1732, 1634, 264, 5143, 519, 1715, 3840, 8648, 269, 4173, 1920, 5185, 513, 2603, 540, 2883, 27465, 950, 1352, 729, 7820, 267, 543, 865, 950, 1200, 4876, 4547, 1200, 547, 519, 20251, 1870, 267, 1352, 29860, 693, 519, 4316, 547, 948, 1004, 269, 2776, 16227, 16628, 540, 932, 848, 19901, 30914, 267, 1352, 4867, 5713, 607, 16628, 543, 7022, 540, 30263, 8150, 267, 1141, 1352, 779, 4797, 547, 1246, 1200, 6612, 585, 10825, 2883, 7924, 269, 968, 10303, 519, 4641, 568, 267, 585, 1082, 1004, 267, 519, 3668, 540, 2724, 11225, 945, 596, 616, 3034, 2691, 1352, 729, 476, 2420, 1296, 2025, 267, 19846, 333, 3244, 332, 976, 2968, 519, 21836, 911, 1457, 693, 519, 1715, 3840, 14351, 16510, 2443, 543, 519, 1152, 4807, 269, 2701, 729, 849, 519, 2034, 4563, 4807, 911, 1457, 2479, 269, 2701, 3893, 519, 2816, 1310, 4271, 908, 609, 513, 4110, 538, 11976, 543, 513, 5634, 538, 7194, 267, 3001, 547, 12924, 290, 267, 5870, 9400, 25347, 4565, 3430, 630, 4753, 302, 540, 25347, 4565, 3430, 1530, 15247, 1070, 543, 10416, 1175, 20310, 1864, 547, 1577, 1200, 723, 519, 2816, 269, 2334, 1767, 267, 1352, 849, 2451, 9931, 9335, 513, 1906, 1296, 2663, 1310, 13031, 602, 1352, 1152, 1500, 1269, 1321, 267, 1822, 630, 2254, 513, 1462, 334, 14386, 513, 1032, 693, 25347, 4565, 3430, 269, 4653, 1352, 779, 3144, 1200, 2883, 5260, 11803, 1857, 630, 2254, 547, 2446, 20335, 1200, 9126, 267, 6368, 264, 609, 27143, 267, 1357, 3126, 267, 543, 6340, 4497, 906, 269, 1703, 779, 1256, 513, 1979, 8084, 827, 1200, 538, 1646, 269, 1411, 1205, 1346, 1272, 8573, 2074, 9489, 267, 19846, 333, 563, 30399, 4563, 12621, 543, 9945, 563, 15100, 476, 1708, 271, 4432, 548, 4034, 267, 5549, 269, 2353, 7126, 27616, 563, 2791, 949, 610, 949, 711, 723, 8068, 602, 649, 5532, 547, 1280, 15816, 2593, 585, 1344, 827, 631, 749, 1328, 20122, 5459, 267, 30554, 22828, 1744, 1678, 267, 543, 19846, 333, 3244, 332, 976, 269, 674, 312, 296, 267, 1280, 15816, 12462, 306, 4301, 3218, 14615, 5713, 607, 513, 1151, 545, 3218, 585, 4432, 548, 4034, 267, 5549, 269, 12462, 14976, 548, 4034, 26158, 3752, 545, 3218, 786, 4309, 13180, 585, 13288, 596, 547, 4432, 548, 4034, 269, 3281, 18730, 547, 519, 3752, 545, 3218, 786, 581, 1269, 736, 829, 15376, 15181, 269, 1411, 786, 711, 581, 9901, 1022, 13927, 610, 1651, 584, 1022, 3606, 3790, 585, 1373, 5219, 547, 4432, 548, 4034, 676, 519, 3752, 545, 3218, 269, 634, 3752, 545, 3218, 949, 3895, 543, 5924, 949, 14441, 4432, 548, 4034, 779, 5092, 9666, 518, 2533, 269, 4432, 548, 4034, 543, 519, 3752, 545, 3218, 616, 711, 896, 1455, 9562, 610, 6382, 1644, 9988, 563, 5472, 8369, 543, 5784, 6829, 676, 4432, 548, 4034, 616, 1699, 607, 540, 519, 4266, 540, 713, 1603, 267, 585, 21141, 5301, 1152, 267, 543, 798, 711, 13822, 610, 17538, 606, 23596, 618, 540, 1022, 3791, 5428, 779, 2472, 610, 2533, 563, 763, 1344, 3177, 1058, 711, 581, 16941, 2390, 607, 5092, 5796, 610, 7840, 267, 1281, 711, 13822, 513, 1151, 545, 2787, 547, 4444, 610, 6133, 19736, 543, 1058, 711, 581, 2808, 1808, 3656, 267, 5092, 610, 3454, 5796, 563, 763, 1344, 3177, 1281, 711, 1491, 883, 2272, 519, 1808, 6859, 267, 2883, 3510, 610, 1880, 2115, 540, 1022, 1808, 1268, 563, 20059, 532, 14122, 1981, 1519, 519, 2009, 2530, 540, 9030, 543, 972, 568, 1100, 22059, 602, 519, 5092, 786, 1683, 2318, 2773, 936, 1022, 1974, 540, 942, 269, 0, 294, 310, 290, 11833, 5171, 454, 294, 597, 3149, 5808, 8943, 814, 9250, 922, 476, 1001, 278, 268, 1001, 279, 1310, 1153, 11833, 338, 1982, 538, 782, 476, 2004, 2829, 267, 7674, 9937, 540, 5215, 540, 6690, 609, 519, 1489, 540, 936, 476, 736, 4891, 269, 1635, 519, 1439, 540, 519, 4081, 1032, 267, 21989, 5808, 8943, 786, 723, 6603, 936, 476, 2004, 267, 1822, 6690, 609, 922, 3292, 267, 2870, 513, 18180, 540, 2021, 538, 2029, 602, 786, 1118, 606, 1764, 538, 519, 2361, 1312, 538, 28541, 9503, 543, 3564, 269, 769, 1249, 267, 476, 11011, 260, 540, 1930, 3301, 543, 7384, 6009, 616, 3544, 540, 28541, 9503, 282, 972, 616, 476, 1428, 267, 1822, 4867, 1930, 6009, 538, 12309, 267, 476, 4097, 267, 1822, 538, 9098, 267, 476, 1428, 267, 1822, 538, 11882, 267, 543, 476, 736, 267, 1822, 538, 11908, 563, 294, 597, 3149, 5808, 8943, 11833, 338, 616, 1863, 1310, 17469, 3292, 585, 476, 277, 268, 1321, 628, 3446, 6690, 547, 946, 2780, 2257, 547, 1764, 741, 2146, 543, 6443, 513, 11078, 3125, 540, 11215, 9905, 543, 1909, 3631, 269, 11833, 338, 616, 3366, 676, 11120, 4106, 2209, 267, 945, 666, 581, 3610, 267, 2780, 3744, 267, 7172, 12579, 267, 3237, 267, 610, 13538, 689, 1022, 4282, 610, 2361, 269, 2060, 1489, 689, 938, 4891, 267, 21989, 5808, 8943, 814, 9450, 922, 6437, 17008, 543, 9250, 513, 11120, 4106, 1807, 2866, 543, 1489, 1982, 865, 602, 4896, 666, 7520, 513, 11833, 267, 7488, 540, 2436, 789, 723, 2780, 2257, 1995, 269, 634, 6437, 568, 1788, 2861, 543, 2966, 585, 1053, 547, 946, 741, 8193, 1983, 547, 2232, 1483, 3734, 2042, 538, 741, 2146, 269, 1677, 2087, 519, 6437, 1995, 267, 21989, 5808, 8943, 9250, 670, 304, 267, 938, 6216, 20642, 2688, 6437, 3760, 585, 519, 11833, 338, 1982, 269, 769, 519, 1101, 1614, 4374, 267, 11120, 4106, 2209, 543, 11833, 2818, 9763, 811, 982, 476, 1789, 267, 1822, 2238, 1299, 2200, 593, 519, 3760, 563, 1103, 519, 476, 1001, 278, 268, 1001, 279, 4081, 1032, 267, 476, 1789, 267, 1822, 6690, 543, 476, 274, 267, 1822, 15321, 11120, 4106, 2209, 786, 7119, 538, 519, 11833, 338, 1982, 538, 782, 476, 2004, 2829, 543, 6115, 267, 667, 5861, 1421, 607, 1134, 607, 519, 2475, 11182, 540, 2871, 600, 267, 17896, 22656, 267, 519, 2475, 7910, 11866, 267, 543, 3345, 25795, 3570, 11866, 269, 1323, 4830, 6268, 540, 519, 476, 1001, 277, 11833, 338, 1982, 1336, 602, 7589, 729, 2404, 609, 9283, 538, 6690, 262, 22838, 543, 6043, 267, 476, 2641, 560, 2540, 1983, 630, 10175, 2792, 267, 5698, 267, 543, 4058, 1070, 543, 2780, 2257, 1702, 543, 4656, 563, 18658, 649, 2461, 3257, 568, 2324, 281, 1034, 540, 938, 6690, 979, 593, 547, 2101, 538, 2780, 2257, 538, 2852, 269, 1879, 596, 4001, 6690, 547, 3009, 610, 1205, 873, 3238, 538, 13241, 267, 789, 1831, 1689, 8069, 543, 666, 1628, 8924, 267, 3292, 543, 5322, 547, 948, 10994, 938, 2197, 781, 27162, 4554, 2042, 2223, 16628, 1299, 674, 10133, 540, 21989, 5808, 8943, 1763, 8676, 28397, 329, 8643, 1767, 269, 968, 2171, 2461, 2679, 513, 3350, 540, 2021, 538, 13241, 267, 23248, 2614, 2021, 547, 2731, 6360, 519, 19235, 3034, 295, 792, 689, 938, 6690, 2933, 912, 268, 834, 31535, 602, 594, 666, 3009, 568, 15813, 256, 594, 4682, 883, 519, 1995, 609, 930, 1004, 1167, 15758, 803, 267, 6031, 602, 8193, 729, 2731, 2182, 543, 594, 1175, 1522, 711, 1205, 621, 269, 1809, 1934, 594, 993, 267, 543, 594, 1745, 899, 594, 6557, 3257, 7168, 1134, 269, 594, 723, 519, 2200, 1631, 547, 979, 856, 543, 1711, 513, 3896, 610, 513, 1357, 3014, 267, 7132, 594, 666, 6368, 1174, 865, 1082, 1919, 602, 1031, 547, 25657, 803, 1701, 910, 28047, 290, 11833, 12160, 656, 454, 268, 834, 294, 597, 3149, 5808, 8943, 814, 3254, 803, 865, 1082, 11678, 602, 594, 1705, 711, 1256, 917, 11478, 1354, 519, 1982, 256, 594, 1810, 1406, 1491, 2029, 585, 11292, 15042, 543, 594, 4076, 7691, 602, 11483, 814, 1500, 519, 7036, 7891, 538, 1250, 1272, 2009, 269, 594, 723, 1831, 1360, 5461, 538, 519, 2029, 540, 1346, 7036, 7891, 267, 543, 594, 3100, 547, 1100, 3476, 581, 2111, 547, 3643, 513, 3896, 1510, 17444, 909, 24904, 779, 3763, 518, 13088, 10590, 910, 28047, 290, 11833, 12160, 656, 454, 268, 834, 296, 1745, 899, 21989, 5808, 8943, 2731, 5280, 803, 547, 1332, 538, 2780, 2257, 269, 634, 2146, 540, 6690, 1459, 538, 519, 11833, 27838, 606, 5790, 540, 5698, 543, 1565, 269, 594, 6068, 875, 649, 941, 782, 2111, 547, 960, 1927, 547, 2417, 938, 1702, 540, 543, 1719, 538, 2780, 5752, 10590, 910, 28047, 290, 11833, 12160, 656, 454, 289, 2590, 513, 28047, 290, 11833, 547, 707, 8378, 2336, 294, 310, 290, 11833, 5171, 0, 288, 1353, 267, 3370, 538, 519, 4760, 15850, 814, 1336, 602, 4568, 6800, 1185, 476, 2420, 829, 1298, 2362, 1981, 540, 2669, 538, 6476, 547, 1346, 6967, 1863, 540, 621, 563, 4913, 267, 519, 1353, 849, 4951, 602, 1769, 547, 9793, 6704, 949, 723, 930, 8825, 1909, 563, 17829, 945, 10057, 811, 982, 476, 1911, 1984, 4106, 637, 910, 1614, 890, 7714, 910, 540, 4568, 513, 1554, 1185, 513, 2539, 6668, 2557, 267, 519, 1353, 1767, 269, 21452, 267, 519, 9019, 1981, 1851, 1346, 945, 10057, 1447, 982, 476, 1911, 6447, 513, 1554, 729, 2539, 982, 602, 1851, 519, 751, 564, 582, 718, 619, 563, 763, 1353, 729, 5645, 856, 676, 1261, 23653, 1530, 16223, 338, 7559, 4659, 585, 5398, 2657, 543, 2160, 540, 4826, 31846, 267, 4516, 267, 538, 29180, 1851, 476, 3374, 267, 9083, 2367, 9907, 476, 3393, 1296, 610, 811, 269, 634, 2665, 941, 4553, 909, 1310, 2947, 7146, 8584, 28451, 1296, 563, 7197, 4568, 4235, 619, 538, 519, 2539, 543, 1647, 1362, 538, 3127, 1246, 513, 4806, 540, 5230, 6704, 609, 519, 5354, 6704, 693, 2547, 2185, 2053, 513, 3018, 267, 543, 6704, 538, 9424, 811, 982, 476, 1911, 16720, 829, 1554, 267, 2871, 24473, 1767, 269, 901, 568, 513, 1713, 2707, 540, 5739, 543, 5732, 14603, 4539, 563, 257, 25802, 1507, 2179, 540, 4568, 949, 2285, 930, 4324, 267, 855, 621, 1281, 711, 1611, 596, 1058, 4235, 547, 1205, 713, 4324, 269, 1411, 666, 1205, 1454, 811, 4324, 676, 1739, 513, 2635, 6197, 540, 1100 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2097, 269, 1284, 666, 782, 4019, 891, 4245, 547, 938, 1378, 2729, 267, 2436, 538, 5026, 267, 19174, 267, 610, 1022, 824, 20089, 649, 3442, 547, 11654, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 5415, 982, 835, 4627, 1296, 3516, 267, 538, 513, 1507, 14929, 328, 8498, 538, 14151, 267, 513, 1762, 812, 3957, 11066, 570, 1168, 534, 9874, 6068, 547, 2196, 269, 1879, 519, 2136, 2276, 2229, 3576, 1864, 689, 1010, 1753, 543, 7142, 1864, 547, 3082, 547, 3864, 2081, 267, 646, 6854, 1010, 4276, 547, 1010, 14316, 2178, 676, 4881, 269, 570, 1168, 534, 9874, 2841, 539, 538, 1082, 14797, 267, 1519, 519, 21396, 538, 476, 5002, 279, 538, 5507, 267, 4789, 267, 543, 1586, 538, 476, 4489, 273, 538, 14351, 27048, 267, 13785, 267, 7258, 19416, 4095, 19002, 13343, 18897, 701, 269, 570, 1168, 534, 9874, 1305, 5638, 543, 1558, 513, 4622, 543, 513, 7022, 267, 543, 811, 982, 835, 2929, 1004, 3357, 547, 513, 31959, 538, 1010, 8956, 269, 1809, 519, 4583, 19002, 7012, 1406, 5963, 6126, 607, 1279, 607, 646, 729, 2476, 689, 1010, 14316, 563, 310, 1301, 12383, 8308, 3142, 547, 1272, 519, 5898, 540, 570, 1168, 534, 9874, 779, 22657, 269, 13068, 543, 8903, 1603, 13865, 3278, 519, 1272, 540, 713, 9058, 812, 585, 1762, 3988, 269, 6184, 25378, 543, 29014, 267, 713, 12092, 2982, 875, 835, 812, 18423, 3020, 547, 1010, 1753, 1256, 1247, 2484, 2476, 563, 10666, 519, 8191, 454, 4537, 16336, 918, 269, 21125, 568, 513, 19622, 10026, 268, 15105, 11285, 609, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 11846, 1299, 28046, 1315, 4258, 518, 18490, 1315, 28304, 20070, 3753, 610, 26861, 8163, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 1103, 713, 1770, 267, 649, 786, 1451, 827, 513, 4241, 1523, 538, 3684, 1565, 1572, 31096, 7020, 269, 1323, 28109, 7020, 568, 519, 1184, 540, 7114, 8966, 1239, 2798, 610, 3270, 538, 513, 10471, 602, 798, 711, 14883, 547, 519, 4397, 2623, 269, 1452, 8966, 1239, 2798, 616, 1419, 5219, 547, 607, 856, 11502, 610, 22114, 780, 3080, 2442, 5690, 585, 31096, 7020, 568, 519, 10871, 4934, 17067, 16748, 630, 26183, 293, 264, 5690, 269, 634, 29486, 293, 5690, 568, 513, 5860, 2861, 5690, 602, 21410, 519, 2199, 5860, 540, 513, 1239, 1448, 543, 19776, 621, 547, 519, 2199, 24186, 540, 922, 12543, 269, 4578, 2798, 609, 513, 3648, 2539, 5860, 982, 741, 12543, 616, 2808, 22114, 780, 6524, 649, 4685, 883, 519, 3877, 540, 519, 29486, 293, 5690, 267, 1577, 781, 1101, 1174, 1018, 513, 10471, 568, 269, 589, 10471, 568, 513, 4015, 540, 1239, 2798, 267, 1141, 1142, 1239, 1448, 568, 6719, 676, 513, 1305, 540, 2934, 269, 1280, 1383, 267, 513, 10471, 540, 2875, 9344, 1522, 1331, 2934, 971, 607, 519, 2875, 781, 2012, 267, 2085, 267, 543, 1449, 8464, 780, 1103, 5124, 267, 649, 666, 2099, 513, 10471, 607, 513, 1079, 8820, 17877, 5044, 267, 1141, 1142, 4737, 4564, 513, 1239, 1448, 543, 1142, 6241, 4564, 513, 4183, 269, 1280, 1383, 267, 519, 1739, 3009, 6256, 5932, 513, 10471, 609, 1614, 2934, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 692, 258, 1711, 513, 10471, 609, 1614, 2934, 454, 311, 815, 5286, 15126, 31912, 272, 267, 476, 273, 267, 476, 274, 16689, 23526, 1496, 275, 267, 476, 276, 267, 476, 277, 16689, 23526, 1496, 278, 267, 476, 279, 267, 476, 280, 316, 7481, 7884, 1103, 519, 1657, 3009, 6256, 267, 2387, 311, 319, 568, 513, 1079, 8820, 17877, 5044, 609, 1614, 9343, 543, 1614, 9587, 269, 3962, 4737, 4564, 513, 1239, 1448, 267, 543, 1142, 6241, 4564, 513, 4183, 780, 3086, 602, 649, 723, 513, 10471, 267, 649, 666, 946, 519, 29486, 293, 5690, 547, 2697, 22114, 269, 634, 29486, 293, 5690, 3340, 1079, 11378, 281, 519, 10471, 2387, 311, 319, 543, 513, 9936, 2387, 330, 319, 602, 23403, 519, 1297, 540, 14282, 12543, 547, 2015, 950, 12719, 519, 2199, 5860, 540, 513, 1239, 1448, 780, 763, 1101, 1900, 538, 519, 29486, 293, 5690, 568, 547, 5173, 519, 2199, 5860, 540, 1142, 1239, 1448, 269, 634, 2199, 5860, 540, 513, 1239, 1448, 568, 3989, 607, 519, 3328, 3845, 547, 922, 2387, 330, 319, 14282, 12543, 269, 634, 1739, 3009, 6256, 21410, 519, 2199, 5860, 540, 1142, 1239, 1448, 538, 519, 10471, 2387, 311, 319, 1384, 3499, 7090, 454, 5228, 28189, 269, 31371, 26092, 1104, 3026, 11732, 10468, 662, 26092, 692, 258, 1711, 513, 3026, 11732, 10468, 662, 26092, 1843, 454, 333, 1962, 338, 815, 3026, 11732, 10468, 662, 26092, 3799, 318, 31371, 26092, 284, 330, 1040, 7257, 11583, 2020, 258, 5173, 519, 9883, 547, 519, 737, 14282, 12543, 454, 23251, 1734, 267, 9041, 815, 562, 1962, 338, 21993, 31371, 26092, 11583, 2020, 258, 5173, 519, 2199, 5860, 540, 1142, 1239, 1448, 454, 29985, 5091, 3748, 815, 5286, 32557, 5560, 626, 1734, 18020, 476, 272, 281, 3910, 7852, 284, 272, 994, 7884, 1103, 519, 1657, 3009, 6256, 267, 649, 1101, 1711, 513, 2387, 10468, 11732, 10468, 662, 26092, 319, 1843, 543, 3514, 621, 547, 519, 10471, 2387, 311, 18269, 1284, 1287, 946, 519, 2387, 330, 31371, 26092, 319, 1505, 547, 5173, 519, 9883, 547, 519, 2387, 330, 319, 14282, 12543, 585, 1142, 1239, 1448, 269, 7053, 267, 649, 5173, 519, 2199, 5860, 540, 1142, 1239, 1448, 676, 2921, 519, 3328, 540, 519, 9883, 547, 922, 2387, 330, 319, 14282, 12543, 780, 763, 1985, 1900, 538, 519, 29486, 293, 5690, 568, 547, 5173, 519, 2199, 3914, 1464, 5860, 540, 1142, 1239, 1448, 269, 634, 2199, 3914, 1464, 5860, 568, 3989, 607, 519, 5021, 540, 519, 2199, 5860, 540, 519, 1239, 1448, 543, 519, 2199, 24186, 540, 922, 2387, 330, 319, 14282, 12543, 269, 634, 1739, 3009, 6256, 21410, 519, 2199, 3914, 1464, 5860, 540, 1142, 1239, 1448, 538, 519, 10471, 2387, 311, 319, 1384, 3499, 7090, 454, 258, 5173, 519, 2199, 3914, 1464, 5860, 540, 1142, 1239, 1448, 454, 29985, 318, 18943, 1464, 5091, 3748, 815, 5286, 27982, 3065, 10857, 5914, 5091, 3748, 267, 5286, 6745, 820, 318, 531, 784, 318, 9471, 10857, 5914, 5091, 3748, 267, 562, 1962, 338, 21993, 31371, 26092, 11583, 267, 2132, 5091, 2700, 25716, 264, 18020, 476, 272, 281, 3910, 7852, 284, 272, 4917, 7884, 1103, 519, 1657, 3009, 6256, 267, 649, 946, 519, 2387, 339, 820, 318, 531, 784, 318, 9471, 319, 1599, 547, 1349, 519, 2199, 24186, 540, 519, 2387, 330, 319, 14282, 12543, 585, 1142, 1239, 1448, 269, 1284, 1287, 1491, 519, 5021, 540, 519, 2199, 5860, 540, 519, 1239, 1448, 543, 519, 2199, 24186, 540, 922, 2387, 330, 319, 14282, 12543, 547, 5173, 519, 2199, 3914, 1464, 5860, 780, 763, 3803, 1900, 538, 519, 29486, 293, 5690, 568, 547, 5173, 519, 29486, 293, 6060, 585, 1142, 1239, 1448, 269, 634, 29486, 293, 6060, 568, 3989, 607, 519, 5223, 540, 519, 2199, 3914, 1464, 5860, 540, 513, 1239, 1448, 547, 519, 3328, 2199, 3914, 1464, 5860, 540, 922, 2387, 330, 319, 14282, 12543, 269, 634, 1739, 3009, 6256, 21410, 519, 29486, 293, 6060, 585, 1142, 1239, 1448, 538, 519, 10471, 2387, 311, 319, 1384, 3499, 7090, 454, 258, 5173, 519, 3328, 2199, 3914, 1464, 5860, 540, 519, 737, 14282, 12543, 585, 1142, 1239, 1448, 454, 822, 326, 9078, 5914, 318, 18943, 1464, 5091, 3748, 815, 5286, 32557, 18828, 6745, 820, 318, 531, 784, 318, 9471, 10857, 5914, 318, 18943, 1464, 5091, 3748, 267, 562, 1962, 338, 21993, 31371, 26092, 11583, 267, 2132, 5091, 2700, 25716, 264, 18020, 476, 272, 281, 3910, 7852, 284, 272, 1070, 7852, 284, 272, 2020, 258, 5173, 519, 29486, 293, 6060, 585, 1142, 1239, 1448, 454, 331, 1993, 23962, 815, 2199, 318, 18943, 1464, 5091, 3748, 1315, 1285, 326, 9078, 5914, 318, 18943, 1464, 5091, 3748, 454, 7884, 1103, 519, 1657, 3009, 6256, 267, 649, 1101, 5173, 519, 3328, 2199, 3914, 1464, 5860, 540, 519, 2387, 330, 319, 14282, 12543, 585, 1142, 1239, 1448, 269, 1284, 1287, 5173, 519, 29486, 293, 6060, 585, 1142, 1239, 1448, 676, 12270, 922, 2199, 3914, 1464, 5860, 676, 519, 3328, 2199, 3914, 1464, 5860, 540, 922, 2387, 330, 319, 14282, 12543, 780, 763, 29486, 293, 6060, 666, 581, 1031, 547, 2697, 22114, 538, 519, 10471, 269, 4578, 2798, 609, 513, 3648, 2362, 29486, 293, 6060, 982, 519, 824, 1239, 2798, 616, 2808, 22114, 269, 634, 1739, 3009, 6256, 14439, 519, 22114, 538, 519, 10471, 2387, 311, 319, 1384, 3499, 7090, 454, 258, 2697, 519, 22114, 538, 519, 10471, 454, 628, 11611, 815, 5286, 31699, 10857, 1993, 23962, 25011, 842, 3799, 2608, 630, 272, 269, 271, 910, 12526, 4297, 2639, 344, 28177, 815, 5286, 269, 2158, 3799, 267, 546, 6943, 284, 15615, 994, 344, 28177, 314, 331, 1993, 23962, 3436, 12939, 316, 815, 910, 272, 454, 7884, 1103, 519, 1657, 3009, 6256, 267, 649, 1101, 4990, 519, 29486, 293, 8464, 538, 26799, 1931, 543, 2824, 519, 12939, 602, 24508, 519, 1283, 2387, 4186, 8727, 319, 6824, 540, 1239, 2798, 689, 519, 1964, 269, 1284, 1287, 1711, 513, 9352, 6003, 6152, 2387, 344, 28177, 319, 602, 3651, 338, 513, 6003, 540, 2387, 268, 272, 319, 547, 519, 22114, 543, 2387, 272, 319, 547, 519, 3339, 1239, 2798, 780, 1103, 5758, 267, 519, 10871, 4934, 17067, 16748, 630, 26183, 293, 264, 5690, 568, 513, 5860, 2861, 5690, 585, 31096, 7020, 602, 21410, 519, 2199, 5860, 543, 2199, 3914, 1464, 5860, 540, 1142, 1239, 1448, 538, 513, 10471, 269, 634, 29486, 293, 6060, 568, 1287, 7229, 607, 519, 5223, 540, 519, 2199, 3914, 1464, 5860, 547, 519, 3328, 2199, 3914, 1464, 5860, 540, 519, 2387, 330, 319, 14282, 12543, 269, 4578, 2798, 609, 513, 3648, 2362, 29486, 293, 6060, 982, 519, 824, 1239, 2798, 616, 2808, 22114, 780, 763, 1739, 3009, 6256, 2488, 513, 2347, 6388, 540, 519, 29486, 293, 5690, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5228, 28189, 269, 31371, 26092, 1104, 3026, 11732, 10468, 662, 26092, 692, 5035, 29486, 293, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 737, 284, 736, 267, 12526, 284, 271, 269, 272, 2187, 1038, 1582, 21993, 815, 737, 454, 1038, 1582, 269, 4186, 8727, 815, 12526, 692, 825, 1219, 3514, 4311, 267, 2473, 2187, 1038, 562, 267, 9041, 815, 2473, 17482, 454, 1038, 1582, 21993, 815, 1295, 3799, 267, 1582, 21993, 2020, 1038, 1948, 5173, 519, 2199, 5860, 540, 1142, 1239, 1448, 454, 1038, 562, 1962, 338, 815, 3026, 11732, 10468, 662, 26092, 3799, 318, 31371, 26092, 284, 1345, 21993, 1040, 7257, 11583, 994, 1038, 9883, 267, 9041, 815, 562, 1962, 338, 21993, 31371, 26092, 11583, 994, 1038, 2199, 5091, 3748, 815, 5286, 32557, 5560, 626, 1734, 18020, 476, 272, 281, 3910, 7852, 284, 272, 2020, 1038, 1948, 5173, 519, 2199, 3914, 1464, 5860, 540, 1142, 1239, 1448, 454, 1038, 2199, 318, 18943, 1464, 5091, 3748, 815, 5286, 27982, 3065, 10857, 5914, 5091, 3748, 267, 5286, 6745, 820, 318, 531, 784, 318, 9471, 10857, 5914, 5091, 3748, 267, 562, 1962, 338, 21993, 31371, 26092, 11583, 267, 2132, 5091, 2700, 25716, 264, 18020, 476, 272, 281, 3910, 7852, 284, 272, 11723, 1038, 1948, 5173, 519, 29486, 293, 6060, 585, 1142, 1239, 1448, 454, 1038, 1285, 326, 9078, 5914, 318, 18943, 1464, 5091, 3748, 815, 5286, 32557, 18828, 6745, 820, 318, 531, 784, 318, 9471, 10857, 5914, 318, 18943, 1464, 5091, 3748, 267, 562, 1962, 338, 21993, 31371, 26092, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 476, 1323, 28109, 6060, 585, 519, 1806, 538, 2473, 563, 1038, 2433, 4958, 5281, 586, 28177, 2433, 5286, 15126, 19572, 3337, 630, 333, 5334, 3263, 994, 2018, 16849, 910, 272, 585, 538, 11502, 543, 1341, 272, 585, 22114, 270, 719, 11502, 563, 1038, 29185, 1038, 2473, 267, 586, 815, 2638, 318, 311, 14729, 11583, 267, 7183, 994, 1038, 562, 267, 9041, 815, 2473, 17482, 692, 1038, 1948, 3589, 519, 31096, 8464, 454 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3719, 27526, 699, 516, 1128, 21114, 4507, 602, 267, 2687, 547, 3220, 269, 3627, 1744, 7776, 267, 8507, 538, 7920, 1426, 22520, 267, 513, 12900, 540, 6694, 543, 4853, 2504, 267, 14016, 908, 6283, 5989, 267, 2804, 6433, 543, 968, 2102, 1968, 11605, 540, 519, 2551, 892, 676, 519, 476, 2735, 271, 338, 269, 27526, 699, 516, 849, 17049, 15852, 2797, 6105, 547, 19597, 622, 1010, 6392, 543, 2061, 7521, 827, 1010, 25010, 748, 4507, 563, 8070, 13001, 301, 344, 699, 516, 267, 25157, 7307, 547, 3432, 909, 922, 2804, 2208, 2557, 676, 9427, 3902, 8060, 267, 12666, 2358, 4123, 267, 543, 1863, 532, 922, 1004, 547, 4497, 538, 4357, 13055, 563, 763, 6167, 779, 5316, 1081, 540, 3356, 547, 2229, 3292, 267, 543, 922, 1202, 14571, 593, 519, 2956, 540, 4914, 5351, 547, 1646, 267, 568, 607, 20468, 607, 621, 568, 5667, 584, 19828, 563, 301, 344, 699, 516, 729, 2111, 547, 3180, 5196, 1379, 585, 865, 1279, 5103, 1010, 29070, 3292, 7064, 547, 17542, 540, 9489, 540, 5351, 2724, 269, 1306, 1250, 26393, 8935, 326, 17020, 578, 2322, 621, 267, 968, 763, 2622, 7813, 267, 11744, 602, 621, 26218, 1312, 513, 25903, 543, 1455, 2631, 267, 2047, 896, 342, 4710, 1010, 22266, 579, 329, 4821, 320, 10325, 3034, 8253, 1152, 568, 2229, 5351, 23696, 3379, 547, 2344, 13001, 1194, 1646, 267, 855, 5351, 3292, 1419, 11716, 519, 3959, 2924, 540, 519, 4057, 543, 519, 991, 585, 12250, 6963, 269, 4033, 1806, 540, 28983, 945, 4607, 5351, 2724, 1331, 594, 10972, 589, 2381, 540, 24063, 267, 631, 1263, 626, 340, 12794, 850, 25795, 600, 540, 18629, 267, 22994, 583, 340, 590, 3150, 1530, 14150, 540, 2098, 18311, 630, 852, 519, 14891, 6243, 540, 519, 22096, 264, 543, 1256, 519, 1102, 600, 3585, 22266, 2717, 8000, 540, 25591, 563, 763, 2724, 1419, 605, 1186, 909, 28974, 20816, 1247, 789, 11654, 16160, 4507, 971, 607, 27560, 741, 4961, 685, 3484, 1633, 998, 3084, 5314, 269, 2334, 729, 519, 2013, 538, 25157, 267, 799, 4607, 17542, 540, 9489, 538, 4914, 5351, 1247, 922, 24180, 2229, 3084, 2213, 7366, 540, 11396, 2443, 1793, 4770, 6694, 2504, 543, 3056, 547, 519, 27069, 7372, 1426, 22520, 269, 634, 4558, 21684, 941, 8900, 267, 543, 1004, 31372, 585, 678, 725, 540, 1426, 563, 2108, 2691, 594, 1101, 3357, 547, 25157, 538, 519, 476, 2735, 271, 338, 267, 649, 1031, 547, 723, 2898, 530, 1841, 540, 3214, 1360, 3181, 4106, 730, 609, 22926, 267, 930, 1932, 2484, 8854, 547, 7639, 2223, 31061, 606, 5351, 11832, 585, 519, 2622, 5253, 19510, 267, 519, 1426, 13001, 817, 2700, 7936, 540, 519, 2136, 8315, 267, 968, 852, 972, 786, 1152, 581, 909, 547, 835, 610, 1079, 693, 1022, 942, 267, 543, 649, 1131, 2356, 1265, 513, 1514, 2014, 267, 971, 607, 606, 23931, 4651, 267, 610, 1373, 29152, 539, 267, 610, 9100, 1746, 7486, 1848, 634, 2985, 5627, 602, 10839, 4422, 593, 547, 3409, 602, 519, 772, 12991, 269, 1426, 10872, 968, 18478, 513, 3017, 5608, 855, 519, 2601, 2484, 7864, 1453, 18992, 547, 1210, 519, 1426, 10872, 2221, 3379, 547, 519, 476, 2735, 271, 338, 568, 17736, 545, 28204, 15534, 563, 305, 14445, 532, 4123, 7496, 568, 2484, 811, 2500, 693, 5355, 519, 2298, 540, 1272, 585, 1346, 538, 4057, 2127, 540, 519, 1158, 982, 11488, 5351, 610, 1099, 4531, 1846, 547, 948, 1374, 2229, 3292, 269, 1677, 1205, 3978, 827, 16701, 21899, 6710, 267, 2477, 1058, 11654, 4507, 540, 2804, 5191, 269, 5221, 267, 6038, 267, 2477, 1810, 1406, 4339, 6710, 269, 15706, 1863, 540, 7050, 6042, 543, 2111, 547, 7119, 538, 2518, 4123, 798, 269, 0, 2750, 18075, 267, 621, 782, 4991, 513, 3787, 30255, 256, 6744, 856, 713, 3579, 4603, 676, 14467, 593, 713, 3095, 269, 1358, 4843, 538, 4395, 540, 519, 1362, 741, 1843, 543, 2491, 566, 269, 4906, 2965, 1767, 602, 621, 729, 1732, 602, 1261, 4682, 2476, 267, 865, 602, 519, 1290, 1721, 614, 1131, 2097, 269, 3163, 630, 30606, 23227, 566, 264, 16497, 267, 14313, 267, 11242, 267, 543, 8249, 585, 9752, 834, 303, 550, 1815, 739, 257, 538, 10732, 3427, 267, 20450, 476, 272, 1299, 476, 273, 9523, 707, 4555, 543, 6667, 676, 834, 10517, 2391, 257, 2630, 269, 3509, 1004, 1118, 519, 12161, 540, 13288, 547, 519, 10513, 13336, 530, 2507, 1306, 21071, 649, 616, 519, 10610, 540, 2441, 269, 634, 19980, 956, 941, 10356, 1927, 538, 13243, 282, 634, 10513, 13336, 5795, 873, 1379, 543, 972, 7902, 1945, 899, 10209, 1132, 540, 18723, 936, 1142, 835, 781, 2212, 269, 2334, 786, 25010, 596, 32375, 269, 634, 6426, 12909, 513, 2603, 827, 1373, 4904, 609, 519, 10513, 13336, 269, 8629, 3992, 3381, 2337, 281, 9137, 676, 13690, 828, 569, 4639, 630, 320, 8004, 543, 513, 15441, 7784, 264, 4208, 1058, 649, 1416, 286, 16504, 8629, 7689, 281, 27718, 539, 547, 2142, 10513, 630, 272, 8834, 476, 272, 281, 1428, 268, 1626, 264, 901, 27718, 539, 547, 2142, 10513, 10026, 1843, 3992, 786, 723, 513, 7096, 1764, 593, 519, 1259, 519, 3214, 538, 707, 1453, 779, 18591, 2070, 1373, 13411, 269, 1261, 1185, 16219, 547, 6494, 519, 10513, 13336, 547, 581, 609, 3571, 20785, 11014, 269, 13648, 779, 16685, 7348, 281, 8866, 786, 723, 968, 339, 7360, 892, 1187, 609, 713, 4603, 1141, 789, 1101, 6492, 10750, 14614, 1216, 543, 2663, 1039, 513, 3043, 18812, 10433, 543, 1711, 513, 8949, 11164, 29087, 4235, 269, 519, 10513, 26415, 267, 7247, 519, 12429, 786, 6494, 538, 1250, 2012, 267, 646, 4927, 4001, 596, 782, 1919, 267, 543, 3142, 782, 1919, 547, 707, 1121, 27320, 267, 31049, 594, 723, 1767, 21349, 596, 5608, 8437, 547, 2671, 593, 12108, 630, 28926, 839, 538, 1007, 6885, 1070, 8437, 547, 2671, 593, 9365, 630, 28926, 839, 538, 1007, 6885, 1070, 8437, 547, 2671, 593, 26964, 630, 28926, 839, 538, 1007, 6885, 1040, 9373, 707, 4757, 2232, 547, 24049, 547, 713, 5816, 543, 4309, 711, 5874, 540, 1007, 9708, 676, 4757, 269, 12833, 1746, 1866, 547, 2441, 543, 29955, 2828, 2132, 547, 5783, 267, 8281, 968, 305, 3421, 540, 519, 10513, 26415, 1510, 8642, 5608, 1548, 616, 519, 32018, 540, 519, 10513, 26415, 268, 8629, 3992, 543, 4976, 267, 17676, 700, 30224, 968, 763, 7083, 568, 1250, 8752, 892, 873, 539, 1045, 14591, 543, 1982, 585, 707, 2680, 269, 634, 26700, 1524, 7484, 910, 1373, 1930, 547, 519, 1975, 7398, 910, 1373, 1930, 547, 519, 1975, 7398, 4197, 519, 10513, 13336, 968, 2108, 1323, 1306, 322, 3290, 8629, 7689, 5600, 3835, 1843, 281, 1849, 582, 1127, 11017, 282, 27684, 609, 476, 274, 11250, 630, 3467, 11250, 616, 5386, 607, 1134, 14386, 2422, 713, 3078, 19999, 1815, 739, 1843, 3992, 547, 4001, 1453, 827, 519, 10513, 13336, 543, 1018, 5949, 950, 519, 20785, 3459, 547, 2661, 513, 6891, 23752, 1272, 907, 23075, 10312, 281, 20450, 476, 272, 543, 476, 273, 10049, 281, 1079, 1269, 1015, 12014, 282, 24621, 282, 14402, 282, 476, 11011, 260, 27012, 4568, 282, 1216, 282, 6070, 3371, 568, 513, 1390, 1843, 3992, 547, 9414, 1946, 649, 991, 547, 581, 4904, 543, 15459, 676, 519, 10513, 13336, 269, 1261, 2813, 721, 269, 9517, 299, 2894, 8577, 5213, 1406, 3807, 670, 836, 15907, 1547, 18391, 693, 519, 6249, 540, 519, 4829, 543, 13344, 540, 519, 10513, 13336, 269, 12315, 519, 1126, 519, 666, 543, 22635, 269, 2334, 1797, 602, 538, 1169, 1259, 1261, 568, 3160, 609, 2696, 519, 12429, 543, 2696, 519, 12312, 269, 634, 16350, 540, 519, 10513, 13336, 593, 519, 24347, 956, 267, 13794, 540, 4906, 267, 20785, 267, 476, 2004, 2395, 1310, 14914, 267, 1733, 1080, 1495, 599, 267, 519, 14512, 540, 519, 5939, 267, 20450, 476, 273, 281, 272, 268, 4029, 269, 901, 2653, 1843, 3992, 14550, 938, 7589, 538, 1931, 547, 581, 4904, 609, 2696, 779, 2648, 543, 5924, 519, 10513, 13336, 269, 3502, 1518, 803, 540, 1246, 5346, 8292, 676, 4757, 269, 1284, 917, 5808, 2696, 568, 269, 2353, 519, 4829, 543, 519, 13344, 616, 1114, 267, 899, 519, 15437, 538, 519, 22774, 267, 855, 1142, 835, 568, 1271, 269, 15020, 28663, 267, 22090, 704, 267, 968, 763, 10513, 26415, 568, 513, 8748, 3659, 269, 3371, 596, 786, 2083, 526, 513, 5542, 540, 3670, 1390, 1843, 4245, 602, 786, 6157, 948, 596, 547, 4001, 593, 713, 5863, 1641, 269, 28267, 297, 17614, 570, 3201, 16775, 3767, 713, 568, 519, 4971, 618, 281, 3115, 550, 267, 782, 9493, 7475, 540, 519, 3618, 267, 543, 2097, 21349, 803, 543, 581, 19071, 1242, 538, 1250, 2012, 267, 602, 9493, 949, 581, 18813, 1881, 676, 519, 21200, 540, 519, 10513, 26415, 267, 602, 9493, 949, 1796, 5544, 1652, 1354, 803, 693, 519, 2063, 1554, 269, 8629, 16497, 269, 634, 8945, 547, 9306, 519, 10513, 13336, 547, 1453, 568, 547, 946, 2500, 12746, 625, 602, 948, 3214, 1174, 519, 10513, 13336, 779, 1909, 538, 741, 2729, 269, 901, 568, 606, 1271, 1448, 547, 1174, 269, 1215, 547, 1118, 513, 22774, 1210, 4787, 8636, 956, 910, 519, 13344, 543, 519, 4829, 540, 519, 13336, 267, 476, 275, 269, 3642, 300, 281, 634, 2048, 18661, 590, 1742, 519, 10513, 13336, 685, 10732, 3427, 7689, 630, 8002, 338, 476, 273, 281, 272, 268, 1428, 264, 6663, 547, 1397, 519, 1453, 519, 2956, 540, 519, 13411, 6891, 282, 945, 646, 568, 543, 1946, 649, 991, 1864, 269, 1284, 616, 782, 1114, 269, 634, 1360, 2856, 540, 945, 519, 10513, 13336, 568, 543, 875, 519, 10513, 13336, 666, 581, 538, 811, 982, 835, 1747, 693, 513, 942, 568, 14845, 269, 1677, 1451, 811, 827, 713, 3992, 593, 519, 10513, 13336, 267, 4945, 593, 713, 3095, 269, 1809, 581, 4904, 609, 519, 13336, 269, 901, 4168, 1843, 3992, 3096, 513, 6292, 540, 14296, 547, 948, 1453, 607, 1134, 607, 4079, 610, 6107, 8275, 875, 519, 10513, 13336, 2337, 721, 1294, 2696, 2324, 538, 543, 1472, 721, 538, 519, 5289, 7706, 540, 3571, 8003, 269, 1677, 581, 4904, 609, 519, 10513, 13336, 1797, 602, 649, 1450, 1864, 547, 19582, 543, 1852, 1169, 1858, 540, 938, 2729, 269, 808, 18804, 10281, 5766, 601, 645, 1737, 338, 538, 513, 3905, 3443, 910, 1373, 593, 3595, 676, 519, 13336, 267, 5753, 781, 18591, 2866, 910, 4930, 267, 5751, 269, 476, 272, 269, 634, 23290, 1510, 9075, 910, 1373, 4904, 609, 519, 13336, 910, 1373, 4904, 609, 519, 13336, 645, 5456, 9517, 12788, 281, 717, 7495, 670, 3008, 717, 4353, 2894, 2475, 5990, 670, 5357, 312, 9501, 7644, 3951, 269, 808, 5308, 7968, 295, 15382, 18952, 9478, 8055, 15196, 21024, 1547, 9232, 1656, 519, 13336, 2285, 628, 1769, 547, 1169, 812, 602, 635, 996, 883, 519, 1158, 282, 543, 519, 13336, 679, 13097, 996, 1169, 812, 998, 519, 1158, 267, 602, 646, 1046, 523, 996, 547, 519, 5639, 540, 519, 13336, 1848, 267, 3040, 1924, 777, 281, 589, 18813, 8595, 267, 649, 1831, 2973, 543, 811, 29881, 607, 649, 16111, 1065, 550, 547, 723, 519, 10513, 26415, 538, 938, 2729, 269, 634, 10513, 13336, 568, 519, 3791, 1268, 540, 519, 27076, 1500, 909, 540, 2696, 519, 4651, 543, 1010, 5067, 4906, 2441, 269, 3416, 793, 5147, 476, 1001, 277, 20876, 5401, 902, 689, 519, 10513, 26415, 281, 968, 296, 2322, 1585, 2182, 3536, 1700, 7945, 607, 7573, 267, 10365, 267, 18437, 16115, 267, 543, 890, 653, 2075, 27163, 1700, 20041, 32630, 5068, 11149, 267, 1210, 1079, 11149, 585, 1142, 1426, 6221, 269, 670, 5357, 312, 9501, 7644, 3951, 281, 28267, 297, 17614, 700, 8577, 2177, 269, 15681, 519, 1895, 596, 616, 2469, 547, 22090, 704, 1945, 1271, 547, 873, 269, 808, 2464, 4785, 8863, 305, 8780, 4906, 1772, 3776, 23694, 4906, 610, 30616, 1733, 558, 4024, 1411, 7427, 1547, 1548, 4523, 952, 596, 2119, 26311, 1216, 883, 606, 1862, 476, 274, 269, 22490, 4610, 616, 6825, 2608, 269, 2986, 1576, 891, 616, 1175, 513, 1906, 540, 519, 2093, 827, 519, 10513, 13336, 593, 11300, 8866, 1740, 269, 901, 2560, 901, 3308, 3992, 2982, 1453, 630, 663, 4079, 264, 875, 1271, 621, 568, 547, 711, 1152, 979, 547, 5939, 593, 9530, 904, 267, 855, 849, 547, 581, 4904, 1282, 519, 3018, 267, 998, 32467, 543, 2542, 519, 6426, 269, 901, 849, 1568, 2731, 1134, 585, 519, 10513, 26415, 19097, 1143, 13185, 952, 596, 616, 700, 9169, 269, 898, 3884, 1405, 3312, 547, 803, 610, 547, 519, 1101, 1268, 594, 4862, 946, 621, 267, 855, 594, 1589, 621, 781, 3532, 269, 1548, 649, 991, 547, 4309 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 723, 513, 1434, 4367, 267, 1141, 596, 6338, 519, 1888, 540, 707, 1257, 269, 1292, 1560, 281, 7602, 367, 338, 2012, 4661, 9890, 2491, 621, 9890, 2285, 4704, 269, 3040, 3932, 1341, 2009, 3435, 3763, 707, 2798, 5693, 538, 519, 1739, 2483, 15447, 29774, 530, 584, 1372, 581, 328, 11197, 620, 338, 834, 8722, 25733, 9452, 257, 513, 639, 613, 2763, 747, 6339, 3768, 11058, 5884, 2561, 21178, 648, 16644, 11301, 538, 3541, 918, 1538, 12929, 645, 843, 2426, 538, 1546, 28852, 1633, 267, 32228, 1329, 267, 2717, 523, 267, 3541, 5576, 933, 714, 3768, 1629, 966, 699, 514, 580, 1084, 918, 7238, 333, 580, 516, 747, 1036, 601, 332, 7564, 29967, 580, 606, 613, 325, 6686, 327, 4135, 269, 654, 518, 1372, 1100, 577, 646, 1393, 14600, 6921, 1221, 581, 328, 5700, 29774, 3768, 554, 559, 325, 28985, 523, 13153, 5576, 6686, 2401, 281, 4883, 523, 14193, 325, 3541, 575, 534, 7999, 654, 3881, 563, 24589, 2089, 267, 25515, 14871, 454, 299, 6511, 267, 25515, 14871, 514, 454, 1706, 4588, 338, 269, 901, 568, 519, 1292, 851, 540, 707, 1257, 1519, 519, 2079, 269, 3962, 5037, 1058, 8998, 1472, 835, 3844, 2856, 269, 3399, 707, 9433, 899, 713, 281, 898, 3587, 6654, 602, 519, 2278, 21314, 547, 18609, 1010, 17017, 3988, 602, 621, 568, 942, 585, 519, 17037, 547, 3717, 257, 630, 5408, 2212, 1467, 1040, 23883, 519, 2497, 540, 519, 2376, 543, 519, 946, 540, 1893, 3391, 519, 3988, 262, 3007, 269, 769, 1010, 4633, 17312, 21314, 547, 11168, 602, 646, 729, 543, 568, 519, 5078, 5518, 540, 519, 7330, 269, 23883, 519, 946, 540, 3929, 1893, 896, 6050, 713, 2070, 269, 1280, 1383, 646, 4749, 3096, 1862, 634, 946, 540, 1893, 1315, 30031, 3457, 270, 20116, 3457, 3436, 896, 6050, 602, 1862, 11363, 602, 2807, 3436, 2306, 2312, 602, 3436, 6212, 519, 3988, 262, 3007, 593, 3267, 5932, 519, 12705, 540, 1315, 602, 1862, 22587, 547, 519, 5467, 1317, 1862, 3932, 5681, 909, 707, 2164, 543, 9096, 609, 513, 25759, 5037, 269, 595, 20975, 538, 1893, 547, 4983, 281, 3436, 10852, 21291, 2241, 2497, 3436, 11357, 15453, 21291, 630, 3467, 264, 1950, 2497, 3436, 3750, 2275, 10248, 8239, 630, 324, 3052, 269, 12809, 610, 3742, 5639, 267, 11506, 610, 2241, 2511, 540, 1893, 264, 3436, 1913, 540, 2027, 2262, 4610, 630, 516, 5554, 542, 267, 6214, 267, 1920, 267, 2112, 267, 5026, 267, 1870, 267, 3092, 4700, 3436, 2523, 2318, 610, 2942, 7215, 3436, 21371, 1299, 30163, 10118, 547, 4766, 2621, 1299, 3527, 630, 324, 3052, 269, 24360, 4262, 267, 547, 3717, 16172, 855, 10978, 569, 264, 5730, 7440, 610, 1175, 2123, 6644, 3436, 638, 7627, 606, 4274, 610, 3621, 5515, 547, 6961, 1010, 270, 1200, 1210, 834, 933, 257, 543, 834, 639, 257, 547, 1331, 519, 5467, 270, 26575, 4086, 2510, 630, 17641, 518, 982, 1862, 264, 2706, 331, 2510, 630, 1492, 16999, 538, 519, 1158, 1862, 264, 3436, 17279, 540, 1913, 270, 2453, 3436, 782, 28375, 2497, 540, 606, 5811, 4985, 281, 1257, 1826, 267, 2012, 540, 519, 8191, 267, 1888, 267, 9837, 2140, 540, 1257, 267, 2707, 630, 335, 28362, 819, 630, 11845, 4297, 9847, 2110, 4832, 344, 476, 274, 268, 276, 2366, 839, 3436, 2592, 630, 324, 3052, 269, 2060, 519, 3239, 540, 519, 1977, 4182, 1373, 513, 10935, 834, 517, 513, 24360, 4262, 257, 630, 5408, 594, 269, 476, 1321, 264, 519, 2278, 896, 6050, 270, 11363, 270, 2306, 2312, 602, 3267, 264, 5811, 281, 17720, 23995, 2643, 2065, 3457, 5678, 267, 12819, 3457, 9890, 4704, 547, 15752, 10390, 281, 5681, 909, 1292, 2164, 9890, 22275, 985, 547, 15752, 0, 763, 3476, 513, 1126, 568, 13032, 1221, 267, 519, 811, 2693, 789, 616, 547, 1020, 5626, 26711, 602, 666, 2063, 513, 1272, 942, 269, 31421, 666, 581, 14042, 6028, 1453, 32585, 267, 21183, 543, 538, 31261, 269, 6884, 267, 789, 7985, 689, 7181, 31191, 267, 14331, 543, 11784, 6285, 267, 1419, 798, 14605, 693, 1153, 1813, 547, 2530, 540, 1445, 543, 6015, 563, 21579, 4275, 8621, 3570, 4956, 547, 798, 1945, 827, 11648, 538, 3506, 1310, 1200, 5067, 11124, 689, 11648, 269, 2701, 5206, 513, 1433, 11331, 2048, 20806, 27701, 519, 10089, 569, 1406, 334, 948, 3237, 1376, 519, 6643, 827, 11648, 609, 741, 1453, 563, 763, 1433, 849, 3947, 1453, 2645, 547, 8396, 11648, 269, 6341, 4275, 7074, 602, 19366, 543, 21345, 1453, 616, 811, 2693, 547, 7985, 689, 11648, 982, 824, 3214, 269, 1358, 1205, 13032, 1221, 1317, 789, 949, 3717, 824, 4654, 267, 1413, 1114, 610, 723, 513, 1114, 4984, 563, 2791, 1590, 4444, 519, 1433, 269, 31421, 538, 12140, 568, 1932, 2462, 513, 1966, 547, 4734, 547, 3610, 538, 3506, 269, 3399, 6158, 547, 707, 3214, 1631, 269, 1411, 666, 1265, 519, 1433, 538, 3798, 3000, 2023, 5398, 23905, 543, 538, 1153, 2066, 519, 2749, 269, 0, 1607, 5517, 18963, 281, 589, 17912, 6651, 2534, 849, 2882, 912, 1432, 1281, 621, 1491, 547, 1711, 513, 3621, 3069, 286, 22996, 3801, 547, 2626, 519, 2243, 676, 4974, 519, 960, 540, 8176, 16817, 543, 21238, 15570, 1088, 28615, 269, 2755, 8384, 513, 3381, 267, 789, 3950, 7422, 689, 1142, 10196, 543, 1287, 1413, 585, 3270, 538, 891, 2164, 269, 1358, 1287, 2328, 741, 1378, 6436, 1759, 593, 741, 4967, 689, 519, 7422, 563, 268, 2422, 607, 606, 3408, 540, 519, 3621, 1505, 454, 268, 2991, 519, 2534, 267, 723, 5049, 5635, 543, 4334, 519, 16817, 543, 28615, 6436, 454, 268, 1323, 1620, 540, 2067, 5542, 1991, 547, 519, 2534, 568, 5363, 454, 268, 22291, 2143, 4282, 1344, 585, 3606, 1353, 454, 268, 30216, 513, 1883, 609, 3732, 4267, 547, 519, 2875, 30453, 0, 30208, 7384, 568, 513, 1259, 547, 1491, 782, 519, 1835, 684, 4221, 543, 4393, 540, 707, 1239, 689, 707, 18376, 267, 15291, 610, 5985, 3926, 267, 543, 19132, 621, 547, 5458, 2780, 13421, 538, 2166, 1499, 10628, 269, 1411, 666, 1569, 873, 3842, 519, 946, 540, 3611, 541, 7112, 513, 1357, 11422, 267, 610, 606, 813, 1022, 942, 596, 723, 606, 5769, 4276, 563, 2690, 3549, 267, 3001, 547, 519, 6531, 666, 1611, 4227, 519, 1942, 540, 9541, 538, 8800, 543, 5989, 543, 9878, 1152, 585, 519, 2200, 789, 946, 269, 898, 849, 1954, 525, 909, 8668, 10986, 547, 1445, 593, 811, 7580, 3785, 269, 769, 1840, 267, 676, 9427, 519, 991, 547, 5781, 9337, 543, 2226, 4835, 1949, 267, 621, 2636, 3549, 547, 1847, 5488, 547, 1491, 5413, 540, 1007, 3255, 538, 1870, 563, 30208, 2029, 814, 6591, 8560, 1813, 547, 2101, 8441, 538, 519, 2361, 540, 5691, 1436, 543, 7856, 7384, 267, 543, 1164, 18286, 5769, 269, 1280, 1082, 3906, 267, 6531, 2029, 568, 519, 1152, 1505, 547, 2743, 7569, 689, 5561, 267, 2333, 22231, 543, 4228, 563, 2467, 616, 1614, 1292, 2010, 540, 6531, 2533, 912, 14276, 12269, 616, 9738, 543, 7307, 676, 3791, 18407, 7426, 269, 1358, 2709, 8112, 267, 1942, 9806, 267, 543, 2773, 5383, 269, 1358, 849, 1450, 585, 4028, 4390, 7269, 610, 5786, 952, 2877, 269, 1717, 267, 713, 2203, 849, 4679, 4220, 602, 2154, 5812, 267, 6297, 2359, 267, 2523, 1472, 3354, 543, 26125, 2152, 563, 7468, 10675, 6531, 2533, 616, 9738, 543, 7307, 676, 519, 2754, 269, 1358, 2709, 513, 3152, 1377, 540, 1852, 267, 855, 621, 2501, 693, 519, 1942, 540, 2362, 6988, 267, 3790, 267, 543, 5826, 4170, 269, 1677, 3035, 1870, 3853, 621, 568, 4105, 547, 723, 519, 1318, 2645, 543, 1702, 547, 4056, 267, 1628, 543, 2226, 513, 4357, 6531, 269, 0, 291, 558, 664, 2012, 568, 707, 3961, 593, 519, 1357, 269, 898, 781, 1018, 596, 1826, 883, 707, 11422, 2232, 3046, 543, 621, 2306, 621, 2653, 585, 1004, 547, 3314, 1141, 596, 616, 269, 1879, 1004, 1826, 538, 513, 15745, 899, 834, 10059, 2517, 4178, 6230, 2222, 327, 12320, 2593, 2580, 789, 2811, 4448, 2047, 609, 707, 3896, 630, 528, 3135, 264, 693, 602, 15745, 267, 865, 952, 2576, 11564, 602, 2985, 267, 789, 3513, 1294, 1543, 689, 602, 3135, 3079, 540, 1776, 835, 593, 519, 1482, 6389, 2012, 269, 901, 2306, 621, 2653, 585, 8436, 547, 1265, 1919, 789, 1616, 593, 707, 3135, 543, 3251, 972, 1279, 2614, 547, 798, 1945, 609, 621, 2336, 288, 6389, 2012, 568, 707, 3961, 593, 519, 1357, 269, 2659, 3896, 781, 2232, 568, 519, 15745, 602, 596, 1826, 883, 707, 11422, 547, 1569, 621, 267, 543, 621, 781, 875, 5616, 267, 29078, 267, 543, 824, 3406, 9817, 917, 1141, 547, 1265, 596, 563, 2690, 1383, 281, 952, 2576, 941, 3168, 585, 513, 1007, 22048, 8116, 538, 519, 7330, 543, 29921, 834, 10345, 302, 8116, 257, 883, 741, 11422, 2232, 3046, 267, 789, 1131, 1205, 513, 1592, 540, 2164, 689, 782, 936, 519, 1158, 1317, 972, 616, 865, 1082, 4213, 1210, 713, 3169, 2165, 607, 851, 540, 741, 32107, 4640, 630, 528, 1175, 1317, 621, 4992, 6952, 344, 1040, 1403, 596, 941, 835, 540, 1346, 4213, 11652, 3976, 1185, 1044, 3769, 538, 713, 3406, 1267, 1765, 20365, 6389, 2012, 1131, 581, 834, 698, 1890, 538, 519, 7330, 8487, 288, 1434, 6389, 2012, 568, 2653, 547, 3314, 269, 898, 1058, 581, 2110, 267, 855, 711, 1932, 2110, 269, 5213, 1405, 946, 2338, 610, 2027, 3197, 269, 5213, 1405, 946, 3834, 2380, 630, 528, 19156, 1040, 589, 1434, 6389, 2012, 1058, 723, 1100, 811, 982, 476, 275, 268, 276, 17161, 538, 621, 267, 543, 12582, 1405, 581, 1500, 909, 540, 1913, 602, 616, 1932, 1279, 1317, 789, 3513, 1118, 519, 15745, 1413, 20868, 950, 596, 13594, 621, 883, 707, 11422, 781, 2232, 3046, 2336, 288, 6389, 2012, 568, 1018, 3406, 9817, 946, 547, 4137, 856, 1141, 596, 616, 269, 634, 2407, 2232, 540, 707, 3896, 568, 1572, 513, 15745, 267, 610, 7833, 4199, 1327, 1807, 267, 543, 621, 5654, 899, 713, 281, 2890, 327, 12320, 2593, 269, 1403, 707, 3135, 814, 4957, 922, 6389, 5063, 267, 1287, 5616, 786, 1397, 519, 2025, 2985, 607, 513, 3095, 693, 519, 1283, 540, 922, 3406, 2164, 2985, 2394, 602, 2985, 1163, 2231, 538, 513, 1906, 2395, 269, 769, 824, 1913, 267, 4657, 11890, 666, 581, 1434, 585, 22048, 28559, 1152, 952, 621, 781, 2944, 7157, 2336, 2691, 596, 4444, 513, 6389, 2012, 267, 596, 616, 9140, 711, 1175, 519, 2232, 2404, 609, 602, 3896, 855, 849, 519, 10639, 543, 6392, 621, 814, 538, 519, 2872, 269, 2755, 972, 781, 1100, 8969, 602, 1082, 1004, 723, 12349, 11890, 609, 741, 11263, 18084, 267, 15691, 789, 9364, 1118, 621, 2462, 1510, 7836, 1022, 2724, 693, 782, 269, 1717, 267, 713, 4640, 666, 1394, 13933, 950, 707, 3135, 3884, 1405, 2938, 607, 606, 6392, 538, 922, 2361, 543, 19380, 856, 593, 1761, 5561, 945, 1522, 6382, 581, 5461, 538, 1018, 596, 723, 547, 2709, 269, 589, 3983, 6389, 2012, 3085, 1405, 1152, 1942, 811, 982, 513, 1434, 835, 22924, 3790, 1454, 811, 936, 942, 952, 596, 1810, 1405, 1902, 20617, 2038, 593, 256, 589, 1434, 6389, 2012, 786, 2285, 3755, 6015, 602, 789, 2811, 7231, 609, 606, 3964, 2754, 610, 3919, 282, 29285, 267, 3983, 3283, 1419, 2097, 2066, 607, 23153, 880, 8942, 693, 32107, 2933, 1759, 9003, 1472, 17161, 899, 834, 10345, 5588, 944, 330, 1080, 257, 585, 834, 10345, 302, 24108, 7970, 4799, 2252, 596, 6336, 707, 2025, 6389, 2012, 267, 596, 6336, 782, 519, 22048, 5383, 540, 707, 2025, 3135, 543, 666, 1405, 1205, 873, 1394, 3362, 269, 898, 3217, 942, 543, 2724, 547, 1628, 909, 6392, 538, 513, 1007, 13395, 267, 855, 621, 781, 4443, 982, 2479, 1631, 602, 1004, 616, 811, 3222, 540, 875, 1271, 3406, 2599, 11938, 568, 563, 2791, 3513, 1616, 547, 581, 6297, 950, 3257, 713, 1498, 32503, 1810, 1405, 1616, 547, 1981, 9561, 1022, 2186, 540, 6808, 610, 17258, 607, 606, 4274, 538, 707, 2361, 676, 4657, 11890, 1510, 2348, 513, 1544, 538, 1747, 1101, 2336, 2252, 596, 1616, 547, 1689, 707, 6389, 2012, 267, 621, 781, 711, 1175, 513, 2339, 540, 4657, 519, 15745, 269, 2659, 3135, 786, 723, 547, 581, 32206, 689, 15072, 543, 1022, 22048, 2994, 3710, 909, 936, 942, 786, 991, 547, 581, 556, 268, 9953, 574, 1242, 585, 519, 1007, 6389, 269, 901, 1797, 602, 952, 596, 2811, 13461, 593, 606, 13726, 924, 3095, 610, 1514, 2923, 8843, 607, 851, 540, 707, 6725, 4640, 267, 1346, 6402, 949, 991, 930, 3063, 960, 543, 5924, 13319, 1354, 789, 666, 581, 2500, 1586, 563, 1607, 2376, 814, 2016, 596 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 288, 22480, 267, 1134, 2275, 1844, 636, 30533, 539, 683, 22914, 16109, 689, 519, 1728, 13824, 20162, 538, 2571, 5160, 610, 5642, 267, 1277, 10999, 6353, 676, 519, 4527, 540, 669, 1180, 24945, 5052, 269, 8422, 2010, 540, 669, 1180, 668, 320, 723, 1044, 6353, 799, 2671, 1082, 1277, 1670, 2934, 855, 8428, 609, 2463, 547, 4087, 543, 4791, 2934, 454, 293, 2280, 7815, 7131, 300, 267, 1133, 14269, 918, 298, 267, 631, 1068, 839, 674, 630, 32295, 8094, 13328, 2657, 9257, 19032, 540, 570, 636, 2293, 269, 11202, 1108, 543, 21834, 540, 570, 636, 2293, 540, 9941, 570, 22568, 543, 24942, 563, 296, 2752, 290, 4964, 281, 10370, 517, 476, 1220, 273, 454, 529, 513, 22480, 267, 2356, 22072, 1728, 13824, 20162, 683, 22914, 540, 1199, 1638, 776, 5642, 563, 8110, 328, 739, 7002, 630, 9857, 868, 659, 677, 673, 264, 669, 1180, 668, 320, 454, 529, 513, 22480, 1728, 13824, 20162, 683, 22914, 540, 5642, 2627, 602, 14340, 689, 519, 31971, 739, 324, 636, 563, 529, 851, 540, 744, 961, 1512, 2068, 454, 267, 513, 1875, 2987, 615, 1243, 11095, 4524, 3361, 676, 5821, 540, 3339, 17134, 1180, 1537, 522, 1087, 2305, 543, 6353, 676, 12623, 13240, 7047, 559, 698, 29532, 13999, 630, 26067, 1180, 668, 553, 264, 538, 519, 21042, 1736, 543, 11105, 4525, 540, 519, 14788, 338, 543, 6366, 7633, 267, 609, 8795, 5232, 540, 5642, 22775, 640, 269, 631, 3530, 25458, 328, 6794, 454, 18474, 1149, 519, 2934, 540, 744, 961, 1512, 2068, 2404, 609, 2587, 328, 5448, 540, 519, 2571, 5160, 269, 0, 16240, 2233, 19712, 281, 12856, 454, 1103, 1010, 8748, 1433, 1215, 547, 3503, 3163, 11470, 543, 26135, 630, 335, 269, 10602, 1070, 29787, 2107, 5459, 8845, 9315, 3081, 782, 2984, 2270, 476, 275, 2596, 3344, 281, 6660, 24586, 267, 22830, 267, 10886, 543, 7926, 630, 300, 21201, 32656, 3371, 616, 930, 1414, 30235, 1806, 630, 312, 288, 2187, 268, 6660, 24586, 281, 827, 513, 1158, 610, 513, 2486, 269, 661, 326, 269, 26121, 4934, 540, 5384, 676, 20152, 670, 5417, 1460, 827, 942, 2951, 547, 513, 2250, 2486, 563, 268, 22830, 281, 5956, 609, 513, 9814, 547, 2626, 269, 661, 326, 269, 5019, 639, 29547, 676, 8230, 9697, 3757, 267, 12638, 9814, 538, 2230, 563, 268, 10886, 281, 827, 1915, 7004, 269, 661, 326, 7868, 5600, 540, 2480, 23705, 542, 676, 27211, 10787, 1067, 827, 513, 804, 821, 945, 10953, 2418, 563, 268, 7926, 281, 950, 1945, 4422, 4636, 538, 519, 1158, 269, 661, 326, 269, 13340, 676, 6755, 601, 2100, 25595, 827, 606, 15435, 602, 16716, 1715, 10215, 563, 7617, 2460, 540, 519, 1650, 6927, 1034, 547, 596, 286, 2334, 568, 519, 2460, 602, 786, 2285, 596, 519, 1650, 779, 2497, 269, 1107, 2107, 5459, 8845, 9315, 0, 291, 344, 321, 13831, 2051, 712, 10794, 1107, 1210, 15437, 547, 4786, 5022, 547, 4992, 454, 25648, 1606, 29022, 1565, 2337, 1053, 1935, 513, 1641, 899, 10259, 610, 2979, 998, 519, 946, 540, 1114, 12823, 269, 1879, 4730, 519, 2051, 712, 10794, 538, 13106, 1748, 267, 29325, 321, 13831, 779, 3301, 585, 1453, 609, 27577, 267, 1053, 12314, 5022, 609, 15437, 543, 849, 609, 3280, 269, 901, 31591, 1007, 1565, 9055, 538, 519, 2634, 543, 2337, 1453, 547, 4786, 9275, 3280, 547, 2854, 5022, 267, 1945, 602, 568, 2352, 585, 7988, 2716, 923, 563, 763, 3381, 2630, 2982, 519, 3014, 538, 2962, 543, 2488, 513, 5639, 27492, 3391, 269, 1411, 666, 1449, 519, 3014, 3054, 585, 1863, 676, 9683, 519, 13106, 1748, 23632, 2985, 269, 3143, 4647, 568, 2556, 282, 596, 666, 1569, 519, 1982, 538, 707, 11422, 563, 16829, 676, 1234, 31990, 27204, 700, 2801, 1276, 2993, 1923, 476, 271, 8292, 0, 9359, 513, 476, 1015, 28233, 5131, 23632, 547, 1133, 6674, 519, 9509, 5623, 454, 3963, 7689, 14136, 888, 8340, 2298, 3992, 4058, 2200, 267, 3728, 2336, 18704, 1299, 1121, 1460, 10070, 547, 12840, 563, 16391, 1125, 707, 6437, 609, 10070, 269, 14168, 2336, 5970, 942, 547, 581, 811, 3860, 1299, 17615, 609, 707, 1053, 2336, 2690, 713, 29275, 4976, 267, 1053, 1224, 519, 8847, 585, 606, 29275, 543, 606, 1931, 1106, 269, 4841, 1287, 1224, 519, 29275, 543, 1931, 1106, 543, 1287, 2626, 519, 2055, 563, 275, 14358, 476, 278, 20042, 454, 289, 22877, 513, 4750, 626, 454, 18439, 519, 11356, 607, 513, 2189, 11769, 609, 513, 2143, 543, 6905, 1770, 269, 634, 1770, 3340, 6267, 547, 2015, 519, 11356, 781, 1909, 538, 9111, 267, 1589, 827, 7881, 267, 2259, 1603, 543, 5967, 532, 267, 543, 4983, 10229, 543, 3377, 2483, 277, 628, 910, 476, 279, 628, 2296, 5678, 8551, 18938, 281, 23850, 454, 21093, 519, 4107, 856, 540, 9752, 609, 1715, 4944, 3639, 454, 5591, 2339, 1018, 1641, 596, 2811, 3450, 267, 596, 3513, 1265, 930, 1187, 543, 5499, 2093, 585, 1210, 14786, 538, 707, 4928, 609, 513, 5363, 4199, 269, 9122, 593, 15775, 519, 4107, 4934, 540, 9752, 609, 1715, 4944, 3639, 676, 31929, 9986, 1329, 267, 519, 3126, 540, 2483, 275, 628, 910, 476, 278, 628, 2296, 5678, 8551, 18938, 281, 24623, 454, 8893, 4643, 476, 273, 281, 1548, 568, 513, 23397, 267, 7102, 3118, 888, 1432, 2306, 513, 3209, 286, 6844, 532, 4589, 1265, 6667, 538, 2835, 789, 723, 1224, 267, 7234, 2934, 540, 5708, 543, 15923, 269, 1358, 2097, 909, 609, 513, 1592, 540, 9089, 789, 917, 540, 267, 723, 1224, 267, 610, 723, 2938, 607, 9413, 269, 4635, 513, 4976, 630, 2254, 2483, 277, 628, 910, 476, 280, 628, 2296, 5678, 8551, 454, 21581, 10794, 20222, 281, 10812, 25792, 28620, 454, 4504, 28558, 1647, 30595, 547, 519, 3390, 540, 3381, 3014, 5208, 609, 513, 15491, 1935, 269, 22996, 2347, 513, 11080, 5619, 267, 607, 1134, 607, 1224, 543, 1865, 513, 3377, 4183, 827, 10795, 3381, 3014, 6455, 543, 513, 30453, 593, 17003, 2483, 278, 628, 910, 476, 280, 628, 476, 2641, 560, 11416, 10341, 454, 3849, 3200, 2358, 538, 519, 12634, 2622, 281, 1323, 4985, 547, 29480, 31157, 454, 24375, 940, 513, 10388, 1603, 1770, 609, 707, 1647, 30595, 286, 13979, 621, 998, 1945, 602, 7479, 3547, 721, 782, 281, 10229, 256, 3414, 4974, 3381, 543, 1820, 29275, 267, 707, 1362, 786, 2259, 5871, 11759, 1983, 585, 2542, 2483, 278, 628, 910, 476, 279, 628, 2296, 5678, 8551, 18938, 281, 23850, 454, 288, 15474, 1975, 514, 454, 19138, 2262, 3903, 543, 25664, 566, 538, 10229, 269, 22419, 4983, 5859, 18537, 267, 1312, 2942, 543, 2318, 267, 689, 519, 476, 1220, 277, 4571, 3856, 9550, 1354, 7234, 606, 2376, 543, 5659, 513, 5859, 540, 1022, 11134, 789, 3442, 269, 7053, 267, 789, 2483, 277, 628, 910, 476, 1321, 628, 2296, 5678, 8551, 18938, 281, 24623, 0, 9359, 513, 476, 1015, 28233, 5131, 23632, 547, 1133, 6674, 519, 9509, 5623, 454, 3963, 7689, 14136, 888, 8340, 2298, 3992, 4058, 2200, 267, 3728, 2336, 18704, 1299, 1121, 1460, 10070, 547, 12840, 563, 16391, 1125, 707, 6437, 609, 10070, 269, 14168, 2336, 5970, 942, 547, 581, 811, 3860, 1299, 17615, 609, 707, 1053, 2336, 4467, 1584, 619, 538, 14579, 5678, 26643, 454, 10743, 1711, 3992, 4566, 585, 741, 4914, 1893, 4928, 1210, 519, 4950, 269, 1358, 1020, 7653, 602, 786, 5512, 741, 1053, 547, 1831, 3238, 609, 519, 3992, 971, 607, 547, 1118, 513, 2951, 2156, 577, 675, 563, 1626, 14358, 476, 1704, 20042, 454, 4504, 28558, 707, 10453, 547, 519, 17170, 1272, 5578, 540, 2319, 543, 1788, 2359, 269, 3414, 3211, 267, 4901, 267, 543, 1909, 25178, 532, 2238, 267, 6267, 2259, 1210, 8671, 995, 1893, 267, 2263, 1585, 2359, 6163, 267, 543, 2697, 2483, 277, 628, 910, 14451, 3798, 476, 2641, 560, 11416, 10341, 18938, 281, 24623, 454, 8139, 2659, 10341, 543, 13669, 757, 454, 20597, 1571, 267, 15421, 267, 543, 2123, 7907, 616, 519, 1445, 540, 519, 8772, 8400, 538, 513, 476, 2537, 268, 1652, 517, 3126, 540, 1272, 1983, 5751, 269, 19893, 1628, 513, 2247, 4786, 540, 782, 519, 1983, 543, 15421, 538, 519, 1362, 267, 543, 1287, 2516, 960, 1927, 547, 2483, 277, 628, 910, 14451, 3798, 476, 2641, 560, 11416, 10341, 454, 6637, 476, 280, 281, 5678, 14409, 281, 18972, 543, 23675, 454, 5327, 11220, 547, 13173, 1323, 4985, 547, 5678, 676, 15117, 3245, 7219, 267, 7917, 14339, 2006, 267, 543, 715, 2088, 5754, 4461, 267, 713, 32029, 9607, 513, 1297, 540, 1893, 267, 6639, 267, 543, 25349, 3584, 269, 634, 15942, 1223, 581, 5363, 538, 2901, 513, 2483, 295, 27941, 3798, 4317, 5525, 1299, 3778, 454, 31416, 12890, 1107, 12409, 27678, 585, 8866, 454, 306, 2925, 707, 1362, 930, 1426, 585, 2219, 609, 606, 813, 602, 568, 669, 1442, 268, 21459, 540, 3872, 7044, 602, 616, 2653, 547, 7558, 269, 32167, 2812, 666, 19584, 519, 6688, 610, 3406, 585, 1945, 1808, 269, 23657, 1259, 267, 789, 3513, 1451, 1945, 1007, 543, 2972, 2483, 274, 6113, 910, 14451, 3798, 476, 2641, 560, 11416, 10341, 454, 25284, 2719, 256, 6258, 519, 17943, 540, 32017, 267, 1215, 547, 17292, 513, 5678, 513, 5741, 267, 543, 2859, 2336, 1015, 25008, 476, 280, 628, 910, 14451, 3798, 5303, 1299, 7177, 18938, 281, 24623, 0, 3963, 7689, 14136, 888, 8340, 2298, 3992, 4058, 2200, 267, 3728, 2336, 18704, 1299, 1121, 1460, 10070, 547, 12840, 563, 16391, 1125, 707, 6437, 609, 10070, 269, 14168, 2336, 5970, 942, 547, 581, 811, 3860, 1299, 17615, 609, 707, 1053, 2336, 2690, 713, 7320, 4976, 267, 1053, 786, 1224, 936, 513, 1592, 540, 476, 2764, 5065, 3662, 2249, 267, 741, 2115, 267, 543, 4277, 4162, 269, 901, 1592, 666, 581, 1031, 607, 513, 24920, 950, 856, 593, 513, 30382, 610, 538, 519, 1153, 13452, 547, 2697, 1455, 7320, 563, 274, 14358, 476, 1428, 20042, 0, 3963, 7689, 14136, 888, 24552, 20553, 25285, 476, 273, 454, 1103, 713, 6310, 7215, 2534, 267, 1053, 2259, 1603, 7215, 538, 519, 1101, 1305, 540, 2042, 269, 769, 519, 2034, 1305, 267, 1053, 6218, 1142, 4082, 950, 575, 284, 275, 269, 769, 519, 3791, 1305, 267, 1053, 6474, 1142, 3948, 609, 519, 2953, 4082, 543, 1287, 2347, 1079, 1449, 3341, 2055, 269, 0, 28848, 18320, 13518, 13245, 19871, 286, 1107, 17136, 1948, 476, 4350, 270, 274, 454, 293, 2431, 2287, 21561, 2986, 23205, 802, 14856, 18320, 13518, 19871, 888, 6097, 547, 28135, 267, 1082, 2043, 538, 519, 2475, 1491, 538, 476, 274, 268, 276, 2053, 1454, 811, 3940, 982, 789, 991, 269, 1323, 6099, 2635, 3940, 6981, 568, 827, 476, 271, 269, 276, 10101, 630, 4335, 8406, 264, 540, 3940, 1142, 11013, 540, 10709, 1560, 2527, 269, 901, 1939, 525, 547, 3823, 476, 2412, 268, 3583, 10101, 540, 3940, 3232, 269, 2755, 1164, 3940, 2732, 4566, 616, 5393, 2442, 267, 4189, 1932, 1454, 5666, 540, 3940, 666, 581, 31362, 547, 707, 9716, 563, 763, 667, 13377, 2986, 3117, 11167, 10158, 18320, 13518, 13245, 19871, 454, 2252, 596, 3548, 513, 2603, 811, 3940, 982, 707, 1560, 5963, 1223, 1118, 946, 540, 1223, 1711, 2042, 609, 707, 2489, 1072, 543, 8516, 538, 513, 1297, 540, 2409, 563, 310, 599, 1932, 1454, 2635, 3940, 666, 1291, 547, 891, 9716, 2042, 912, 1700, 24046, 1973, 7280, 454, 1700, 13379, 2744, 454, 1700, 18320, 1454, 2168, 1560, 3170, 454, 1700, 13262, 593, 707, 14401, 267, 799, 723, 547, 1205, 7759, 540, 4430, 2635, 3940, 454, 1700, 13809, 540, 6886, 689, 707, 7633, 454, 1700, 9435, 1591, 10761, 454, 6546, 1373, 10645, 267, 596, 723, 547, 917, 602, 707, 2168, 1560, 1223, 711, 2661, 1510, 2635, 3940, 269, 2755, 930, 11254, 7408, 666, 581, 1500, 676, 519, 1560, 267, 1896, 4105, 11254, 7408, 666, 711, 581, 1500, 676, 519, 1560, 8031, 855, 723, 547, 581, 12842, 998, 1426, 2200, 269, 2659, 11254, 7408, 616, 4010, 1018, 1118, 519, 3940, 602, 2337, 1332, 16757, 5160, 267, 536, 3415, 2281, 267, 11476, 267, 607, 1134, 607, 1896, 17441, 8069, 707, 1560, 814, 547, 7639, 563, 7312, 2168, 1560, 3157, 2635, 3940, 1447, 7561, 607, 596, 2085, 547, 1118, 2386, 602, 10438, 6190, 1164, 2298, 2635, 3940, 7475, 909, 1373, 811, 1271, 269, 1411, 849, 991, 1454, 811, 3940, 1247, 9176, 865, 519, 796, 9799, 1126, 1223, 8415, 602, 2635, 3940, 538, 1931, 547, 1332, 269, 13705, 710, 1004, 602, 616, 711, 10172, 610, 24584, 1223, 6529, 547, 10438, 476, 2412, 268, 3583, 10101, 540, 2635, 3940, 3232, 607, 5227, 563, 2467, 568, 606, 5580, 3970, 538, 1931, 547, 1175, 875, 1454, 3940, 707, 2168, 1560, 814, 519, 12588, 547, 1118, 6165 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8517, 300, 13703, 6466, 519, 2606, 11250, 540, 667, 11403, 274, 950, 621, 729, 5950, 538, 476, 1220, 278, 3323, 693, 476, 8517, 300, 13703, 269, 7351, 667, 11403, 274, 3965, 8255, 909, 547, 476, 5908, 277, 300, 13703, 543, 2773, 667, 11403, 274, 13838, 630, 290, 745, 1017, 11831, 626, 1460, 264, 616, 5827, 540, 4881, 693, 11250, 3152, 982, 476, 13975, 271, 300, 13703, 563, 268, 476, 1704, 270, 6021, 270, 1001, 274, 5788, 594, 4941, 547, 22010, 519, 20433, 547, 476, 273, 26838, 609, 513, 1007, 10380, 540, 835, 476, 272, 26838, 20433, 267, 855, 594, 729, 849, 11842, 952, 594, 666, 5372, 519, 2025, 476, 272, 26838, 667, 11403, 273, 609, 513, 1007, 476, 273, 26838, 667, 11403, 274, 20433, 267, 543, 1039, 835, 811, 476, 272, 26838, 667, 11403, 274, 20433, 267, 1818, 519, 2898, 20433, 4390, 547, 476, 275, 26838, 667, 11403, 274, 563, 268, 2290, 540, 519, 4128, 865, 1082, 1004, 1589, 789, 723, 667, 11403, 273, 568, 602, 4587, 8747, 540, 20848, 899, 17765, 19053, 4857, 519, 15155, 607, 667, 11403, 273, 269, 634, 10648, 3393, 270, 5325, 13365, 1115, 1489, 1312, 667, 11403, 273, 543, 667, 11403, 274, 563, 268, 5700, 811, 281, 717, 291, 11403, 276, 5288, 717, 291, 11403, 275, 5288, 717, 291, 11403, 274, 5288, 667, 11403, 274, 20433, 18948, 269, 634, 3259, 540, 667, 11403, 275, 667, 8379, 300, 568, 3044, 693, 476, 15836, 269, 3374, 7825, 855, 922, 4463, 568, 5594, 2799, 547, 476, 4029, 269, 1839, 7825, 543, 621, 568, 5594, 23198, 693, 476, 272, 269, 273, 7825, 563, 268, 476, 1724, 270, 6860, 270, 1001, 273, 5788, 1215, 547, 2697, 546, 20142, 273, 610, 546, 20142, 274, 15155, 593, 26099, 678, 9545, 880, 876, 4455, 476, 1724, 267, 476, 1001, 273, 267, 476, 280, 281, 4649, 6751, 594, 723, 7537, 291, 590, 11391, 1258, 609, 476, 274, 724, 345, 16267, 267, 476, 273, 575, 321, 15155, 609, 9486, 1535, 335, 15259, 267, 1616, 547, 2333, 1250, 20433, 855, 711, 2111, 547, 2697, 952, 20433, 454, 2791, 666, 1265, 721, 1934, 912, 268, 8241, 13317, 24540, 281, 2052, 828, 571, 20554, 267, 717, 578, 4471, 20554, 267, 23720, 20554, 267, 19258, 517, 20554, 267, 1635, 342, 784, 20554, 267, 20554, 5245, 476, 29214, 274, 454, 268, 1715, 3162, 12986, 281, 2782, 4048, 31243, 29517, 267, 654, 663, 7578, 29517, 267, 6778, 14355, 29517, 267, 8805, 341, 1446, 29517, 267, 717, 3019, 3518, 5055, 29517, 267, 29517, 5245, 476, 18684, 276, 454, 268, 8832, 24540, 281, 25538, 7159, 16047, 24857, 267, 1323, 785, 1176, 752, 11445, 24857, 267, 634, 25052, 24857, 267, 2311, 527, 329, 699, 24857, 267, 7984, 718, 320, 24857, 267, 918, 15811, 24857, 267, 24857, 5245, 476, 5400, 276, 276, 454, 268, 24368, 281, 10496, 10849, 4270, 1627, 17162, 267, 3794, 523, 1613, 1627, 17162, 267, 16836, 10830, 1627, 17162, 267, 10089, 4546, 1627, 17162, 267, 1627, 17162, 5245, 476, 32076, 274, 454, 268, 3162, 5245, 281, 966, 16695, 14408, 267, 623, 2465, 6883, 320, 14408, 267, 21537, 1047, 14408, 267, 1656, 600, 809, 320, 14408, 267, 717, 746, 15880, 14408, 267, 20322, 18484, 5244, 14408, 267, 14408, 5245, 476, 27843, 275, 454, 268, 31005, 807, 281, 681, 5803, 2421, 570, 3008, 267, 19994, 5069, 570, 3008, 267, 3502, 2917, 22193, 570, 3008, 267, 570, 3008, 5245, 476, 3583, 278, 275, 454, 268, 15117, 281, 4414, 23193, 966, 2975, 267, 3345, 2782, 8681, 344, 974, 966, 2975, 267, 9931, 15838, 966, 2975, 267, 13879, 8092, 532, 966, 2975, 267, 15593, 15842, 5803, 966, 2975, 267, 966, 2975, 5245, 476, 4968, 276, 454, 268, 5375, 5245, 281, 11197, 29589, 26146, 267, 9324, 321, 1046, 518, 26146, 267, 5211, 341, 1446, 26146, 267, 26146, 5245, 476, 2568, 280, 280, 454, 268, 3703, 12052, 281, 13642, 7460, 267, 6519, 9412, 7460, 267, 20088, 6807, 7460, 267, 23720, 5211, 7460, 267, 20417, 7460, 267, 7460, 4516, 267, 966, 279, 310, 476, 274, 310, 274, 454, 268, 962, 4157, 517, 281, 25832, 962, 307, 267, 7108, 14840, 962, 307, 267, 2826, 2335, 807, 15880, 962, 307, 267, 9741, 5211, 962, 307, 267, 16592, 6997, 10235, 962, 307, 267, 962, 307, 4516, 267, 962, 272, 288, 476, 275, 290, 280, 454, 268, 22598, 281, 6660, 334, 9474, 267, 16189, 5459, 9474, 267, 6660, 2280, 9474, 267, 16737, 15880, 9474, 267, 595, 569, 1372, 9474, 267, 7137, 342, 2106, 9474, 267, 9474, 4516, 267, 570, 276, 298, 476, 272, 297, 275, 454, 268, 19566, 17197, 1559, 281, 1284, 330, 11548, 328, 24857, 267, 654, 3419, 2917, 24857, 267, 769, 12320, 1731, 24857, 267, 17865, 26111, 476, 4198, 24857, 267, 24857, 4516, 267, 2473, 272, 288, 476, 272, 299, 273, 454, 268, 32527, 520, 3832, 9774, 281, 2052, 7702, 27699, 267, 2398, 644, 262, 327, 558, 1889, 27699, 267, 18171, 2280, 27699, 267, 12338, 12928, 1057, 27699, 267, 1621, 548, 26709, 27699, 267, 1325, 3139, 320, 27699, 267, 27699, 4516, 267, 590, 275, 303, 476, 277, 290, 274, 454, 268, 31671, 20899, 281, 31671, 537, 15406, 267, 21651, 15406, 267, 654, 4883, 6559, 326, 2670, 15406, 267, 15406, 4516, 267, 681, 274, 289, 476, 274, 303, 280, 454, 268, 20563, 281, 4425, 529, 321, 686, 663, 1627, 290, 267, 31661, 332, 699, 1627, 290, 267, 2142, 879, 576, 6807, 1627, 290, 267, 12313, 1627, 290, 267, 12142, 5025, 1872, 755, 514, 11546, 268, 5327, 332, 879, 637, 1627, 290, 267, 1627, 290, 4516, 267, 670, 273, 312, 476, 278, 310, 272, 454, 268, 1715, 19839, 1873, 1157, 281, 23720, 2023, 715, 289, 267, 9835, 324, 268, 2304, 572, 715, 289, 267, 17368, 517, 715, 289, 267, 715, 289, 4516, 267, 661, 274, 289, 476, 276, 295, 278, 454, 268, 25429, 32108, 281, 30466, 517, 880, 22085, 267, 962, 1301, 1926, 22085, 267, 645, 1551, 15838, 22085, 267, 22085, 4516, 267, 645, 274, 297, 476, 275, 306, 274, 454, 268, 13584, 11977, 6816, 281, 31869, 1326, 1144, 18027, 267, 9503, 7615, 18027, 267, 853, 269, 22956, 18027, 267, 18027, 4516, 267, 595, 272, 288, 476, 273, 301, 274, 454, 268, 1715, 11398, 1633, 543, 6997, 30786, 281, 853, 269, 6601, 526, 534, 781, 715, 299, 267, 12844, 822, 16695, 715, 299, 267, 18724, 20860, 715, 299, 267, 15117, 715, 299, 267, 715, 299, 4516, 267, 589, 272, 289, 476, 275, 297, 273, 454, 268, 14411, 281, 674, 31867, 976, 16047, 10396, 267, 16016, 5894, 22484, 10396, 267, 9701, 823, 10396, 267, 12891, 2421, 24759, 267, 853, 269, 3397, 24048, 10396, 267, 8496, 580, 753, 10396, 267, 2274, 5446, 2023, 10396, 267, 10396, 4516, 267, 631, 278, 288, 476, 273, 299, 279, 454, 268, 715, 684, 822, 583, 281, 715, 3241, 339, 514, 5600, 715, 308, 267, 2494, 1088, 6816, 715, 308, 267, 715, 308, 4516, 267, 2473, 271, 288, 476, 278, 295, 276, 454, 268, 4789, 281, 7439, 16049, 17628, 267, 16199, 604, 1314, 17628, 267, 16065, 867, 17628, 267, 654, 820, 7615, 17628, 267, 17659, 5112, 17628, 267, 17628, 2136, 8003, 654, 272, 308, 476, 272, 288, 274, 454, 268, 8832, 8581, 281, 14216, 787, 630, 299, 1180, 16093, 787, 264, 715, 7644, 267, 10854, 528, 715, 7644, 267, 30621, 822, 517, 630, 514, 743, 269, 700, 584, 1146, 267, 5800, 611, 1144, 264, 715, 7644, 267, 1715, 26165, 629, 21161, 715, 7644, 267, 30621, 822, 517, 630, 514, 743, 269, 700, 584, 1146, 267, 5800, 611, 1144, 264, 715, 7644, 267, 715, 7644, 2136, 8003, 31641, 273, 476, 278, 295, 279, 454, 268, 10430, 281, 589, 828, 1372, 523, 590, 4596, 267, 623, 9820, 2917, 590, 4596, 267, 667, 1495, 2465, 590, 4596, 267, 12389, 8725, 590, 4596, 267, 25470, 590, 4596, 267, 590, 4596, 2136, 8003, 661, 295, 1015, 476, 273, 289, 279, 454, 268, 12986, 281, 654, 516, 343, 5069, 654, 3201, 267, 654, 516, 343, 5069, 654, 3201, 267, 3026, 987, 654, 3201, 267, 3026, 987, 654, 3201, 267, 9315, 858, 654, 3201, 267, 654, 3201, 2136, 8003, 18435, 2190, 476, 276, 291, 275, 0, 4131, 803, 1376, 676, 6031, 602, 713, 4528, 540, 519, 1404, 568, 711, 585, 519, 9956, 1625, 626, 269, 1261, 3458, 4461, 693, 19201, 607, 1352, 31439, 543, 13290, 547, 12404, 689, 1864, 269, 6271, 3017, 1063, 519, 1404, 543, 519, 7260, 538, 4729, 3877, 568, 693, 519, 10678, 540, 519, 3003, 1650, 269, 1452, 3604, 1063, 519, 1654, 269, 634, 8053, 6558, 781, 1256, 6430, 547, 16245, 513, 4154, 18533, 540, 19201, 543, 519, 7167, 340, 2280, 781, 21199, 1688, 781, 609, 873, 799, 616, 1360, 1434, 4191, 602, 519, 1279, 543, 15280, 21535, 540, 519, 1079, 3885, 568, 936, 2920, 966, 267, 26657, 476, 274, 267, 7412, 476, 27768, 269, 769, 14858, 742, 699, 25651, 781, 2504, 267, 972, 568, 513, 2603, 540, 862, 10056, 1310, 519, 12016, 9060, 1200, 4666, 563, 6524, 4358, 519, 7260, 267, 594, 899, 547, 2285, 1053, 513, 12744, 267, 6148, 1256, 513, 2062, 8705, 940, 269, 634, 21098, 729, 13730, 538, 513, 29779, 267, 811, 15568, 1259, 269, 594, 786, 5635, 519, 8689, 781, 2553, 269, 654, 10248, 891, 9413, 267, 9878, 2673, 3007, 568, 1271, 1317, 621, 568, 711, 1175, 519, 29278, 543, 799, 3197, 616, 5129, 676, 7247, 267, 855, 1018, 519, 8689, 729, 3843, 547, 9446, 538, 713, 6429, 269, 634, 5467, 666, 2995, 713, 676, 519, 1259, 519, 1079, 3717, 269, 6969, 2469, 547, 519, 5428, 30330, 583, 1470, 6645, 19151, 543, 2828, 519, 10348, 631, 629, 4633, 269, 769, 519, 7260, 519, 7167, 340, 2280, 19772, 568, 513, 9649, 19772, 17479, 538, 519, 1647, 540, 519, 2749, 1141, 607, 538, 519, 1404, 621, 729, 513, 10169, 1507, 19772, 602, 568, 17479, 538, 513, 28200, 563, 15987, 789, 949, 3100, 1114, 693, 2053, 267, 519, 1650, 1467, 2760, 2242, 267, 621, 2141, 3788, 827, 1079, 1762, 18798, 945, 911, 326, 1227, 5884, 607, 513, 1267, 540, 26882, 11546, 322, 2888, 269, 2368, 824, 2101, 3604, 1063, 519, 1404, 543, 519, 7260, 7018, 538, 519, 4729, 3877, 269, 19151, 6763, 1394, 267, 543, 19201, 781, 4064, 7930, 1930, 269, 634, 476, 1960, 277, 7260, 568, 1360, 3728, 19550, 267, 865, 835, 1522, 711, 5469, 602, 519, 7128, 8783, 781, 2012, 568, 2965, 13584, 18521, 31647, 269, 4014, 538, 519, 7260, 4528, 540, 713, 851, 267, 782, 602, 519, 21951, 6487, 568, 602, 19151, 568, 5393, 13347, 689, 1945, 602, 729, 2760, 4547, 909, 269, 30330, 583, 1470, 543, 14977, 4472, 339, 3136, 8165, 543, 950, 30330, 583, 1470, 7475, 909, 10888, 267, 14977, 4472, 339, 15211, 2476, 267, 19849, 21724, 269, 1703, 616, 1082, 2188, 602, 3361, 741, 7972, 563, 289, 1794, 700, 7795, 337, 10458, 781, 1412, 305, 727, 334, 1341, 19201, 262, 3379, 609, 9956, 781, 22731, 4518, 269, 9521, 538, 519, 1404, 267, 538, 519, 7260, 950, 19201, 530, 1389, 909, 519, 29443, 541, 18039, 568, 711, 972, 269, 9282, 19151, 543, 19201, 519, 7260, 568, 1434, 267, 621, 568, 1869, 7508, 1082, 1434, 2694, 269, 634, 1671, 5224, 4339, 6429, 2488, 606, 5140, 1383, 540, 519, 3017, 538, 25287, 2762, 543, 605, 1186, 269, 898, 568, 5363, 547, 3247, 543, 2307, 952, 789, 5431, 519, 3515, 563, 2690, 1383, 267, 950, 19151, 14659, 602, 19201, 568, 269, 1323, 1383, 540, 713, 568, 519, 7365, 6429, 269, 5484, 14179, 1470, 568, 24986, 607, 646, 6645, 519, 1650, 540, 14977, 4472, 339, 11318, 30330, 583, 1470, 543, 19151, 11318, 14977, 4472, 339, 269, 28167, 4144, 22479, 26369, 543, 1849, 18311, 667, 6951, 269, 1323, 1383, 540, 713, 568, 519, 269, 634, 24133, 6429, 540, 519, 1404, 568, 513, 1360, 3978, 2680, 563, 10214, 1498, 1312, 29443, 1513, 616, 1114, 538, 5920, 543, 7209, 267, 594, 3494, 789, 1312, 9446, 513, 1360, 25091, 267, 12391, 3659, 547, 1312, 19151, 543, 19201, 269, 1717, 267, 538, 519, 7260, 4528, 540, 519, 24133, 6429, 267, 1586, 3025, 568, 8909, 855, 713, 942, 519, 29443, 541, 13071, 856, 513, 17254, 326, 548, 607, 646, 5910, 1742, 547, 7281, 585, 19201, 269, 2290, 540, 519, 1034, 1271, 3347, 538, 19151, 543, 19201, 568, 519, 2078, 1063, 519, 29237, 543, 19201, 269, 24806, 19151, 543, 19201, 20176, 625, 18948, 4828, 634, 7260, 14624, 540, 19151, 543, 19201, 616, 30140, 1114, 267, 1247, 23187, 519, 1292, 4729, 543, 4509, 519, 1271, 2694, 269, 769, 2920, 476, 272, 267, 26657, 476, 274, 649, 616, 5189 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29002, 2561, 956, 879, 576, 4995, 7046, 519, 13212, 879, 576, 8708, 543, 22635, 538, 476, 16006, 7484, 780, 1262, 3721, 476, 277, 281, 26157, 22911, 543, 16959, 23123, 630, 15307, 13846, 5384, 281, 476, 276, 3764, 21143, 265, 2878, 24836, 706, 958, 17006, 16959, 23123, 4995, 2060, 519, 3575, 518, 1869, 4881, 267, 7444, 1039, 519, 6404, 3819, 5820, 547, 519, 6632, 5820, 563, 265, 2878, 9928, 1905, 532, 590, 1938, 4995, 17547, 519, 3575, 518, 12212, 547, 1085, 7275, 1524, 519, 5011, 540, 519, 12826, 1210, 519, 12285, 22883, 3121, 780, 1262, 3721, 476, 278, 281, 30459, 28688, 932, 2354, 630, 15307, 13846, 5384, 281, 476, 273, 3764, 21143, 265, 2878, 28926, 2287, 28688, 932, 760, 20045, 4995, 570, 792, 1930, 519, 10189, 540, 10859, 1606, 11548, 10217, 13365, 563, 265, 2878, 29002, 28688, 932, 2354, 4995, 32449, 538, 476, 272, 7484, 540, 10217, 13365, 543, 3575, 2394, 789, 2811, 14961, 7856, 2429, 519, 14859, 780, 1262, 3721, 476, 279, 281, 590, 1723, 14563, 13648, 773, 667, 965, 5196, 645, 1136, 16847, 630, 15307, 13846, 5384, 281, 476, 1015, 3764, 21143, 265, 2878, 27609, 532, 645, 1136, 16847, 4995, 9255, 519, 11256, 6656, 593, 513, 6366, 2627, 563, 265, 2878, 306, 1723, 14563, 13648, 773, 667, 965, 4995, 2422, 513, 29537, 610, 23739, 1085, 17274, 547, 6712, 856, 17031, 11084, 540, 14859, 5196, 519, 11256, 6656, 267, 6028, 827, 476, 273, 6279, 1063, 1142, 23739, 780, 1262, 3721, 476, 280, 281, 645, 1136, 13648, 625, 630, 15307, 13846, 5384, 281, 476, 1321, 268, 1691, 3764, 21143, 265, 2878, 11900, 1068, 532, 645, 1136, 16847, 4995, 22391, 519, 11256, 6656, 883, 519, 840, 515, 730, 14089, 267, 4180, 621, 781, 10704, 543, 6366, 563, 265, 2878, 289, 1136, 4995, 645, 820, 585, 476, 1321, 268, 1691, 3764, 610, 2394, 8728, 616, 21066, 11344, 6960, 780, 1262, 3721, 476, 1015, 281, 15346, 532, 13648, 625, 630, 15307, 13846, 5384, 281, 476, 1015, 3764, 21143, 265, 2878, 7230, 8221, 645, 1136, 16847, 4995, 2422, 14089, 5378, 1206, 610, 10209, 338, 547, 5402, 4894, 519, 11256, 6656, 689, 519, 14089, 563, 265, 2878, 9558, 2536, 2590, 13648, 625, 4995, 2913, 519, 12897, 3579, 593, 519, 11256, 6656, 585, 476, 276, 3764, 1354, 22151, 873, 547, 513, 5911, 24646, 547, 3579, 4625, 780, 23558, 256, 1411, 1631, 723, 28448, 19323, 13212, 879, 576, 10217, 13863, 12897, 269, 17949, 4687, 873, 609, 2828, 543, 1920, 2439, 8855, 547, 2973, 909, 1310, 3054, 676, 11067, 8286, 267, 530, 31441, 1524, 7252, 267, 543, 13936, 31629, 5820, 5265, 269, 8414, 11256, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 13014, 2561, 956, 879, 576, 28688, 932, 760, 13648, 625, 257, 538, 519, 2511, 540, 14392, 585, 2576, 945, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2168, 543, 1480, 4205, 3238, 267, 1256, 519, 1034, 2596, 543, 6654, 3283, 267, 14322, 519, 5467, 2115, 713, 1344, 1100, 2339, 875, 2596, 621, 666, 3100, 269, 0, 2878, 16215, 281, 23889, 4578, 689, 31072, 17796, 12533, 14945, 2162, 4985, 692, 1103, 2221, 781, 1870, 1604, 267, 3906, 1419, 7048, 593, 2789, 2959, 540, 1239, 547, 1118, 5483, 3664, 269, 901, 1239, 666, 2097, 689, 1585, 4835, 1949, 899, 10911, 300, 267, 661, 14641, 267, 6725, 12957, 2645, 267, 543, 5007, 2959, 899, 3791, 18407, 21527, 267, 1514, 2923, 5867, 267, 543, 2229, 8041, 269, 23889, 1239, 689, 891, 19635, 2959, 883, 707, 3919, 781, 21438, 6538, 6087, 1732, 3375, 6194, 676, 3246, 513, 19618, 2070, 540, 782, 2139, 1239, 269, 769, 713, 1770, 267, 649, 786, 2263, 875, 547, 11753, 1239, 689, 5007, 2959, 1210, 9786, 7457, 607, 938, 3119, 1907, 269, 1284, 786, 849, 1865, 1655, 2853, 585, 5883, 3354, 543, 7834, 4145, 950, 7231, 609, 5007, 1239, 780, 2971, 4804, 20505, 692, 3528, 519, 1439, 540, 713, 1770, 267, 596, 1058, 581, 2111, 547, 912, 272, 269, 16259, 5007, 1239, 585, 1104, 532, 883, 7457, 563, 273, 269, 7383, 1239, 689, 1455, 5007, 2959, 899, 9185, 563, 274, 269, 28509, 3593, 6589, 543, 27704, 585, 5150, 1239, 1569, 563, 275, 269, 25956, 1239, 3339, 1436, 2553, 547, 2226, 1239, 8699, 563, 276, 269, 24410, 7632, 327, 2393, 1455, 2152, 1282, 1239, 5610, 780, 2162, 27759, 24498, 4578, 585, 7383, 692, 6524, 10128, 1239, 689, 5007, 2959, 267, 621, 781, 1898, 547, 2327, 602, 519, 1239, 568, 2973, 267, 5812, 267, 543, 1134, 3613, 19099, 269, 18648, 569, 5423, 1239, 666, 1267, 538, 6959, 267, 29927, 267, 543, 1761, 2530, 540, 3407, 4030, 269, 7427, 891, 3268, 547, 5965, 5007, 1239, 585, 1104, 1384, 272, 269, 11162, 519, 1239, 281, 17179, 1022, 26134, 5638, 267, 6445, 538, 7508, 2418, 267, 543, 4894, 11991, 9587, 269, 6333, 1210, 2645, 899, 9185, 3252, 267, 5295, 2372, 2044, 267, 610, 7046, 8269, 710, 585, 7738, 1804, 14449, 563, 273, 269, 9208, 1125, 11249, 281, 3550, 602, 4266, 267, 942, 267, 9304, 267, 543, 1297, 12043, 616, 5812, 2429, 519, 10471, 563, 274, 269, 16294, 3347, 1063, 7515, 281, 10576, 4914, 10569, 543, 3715, 3347, 1063, 1644, 7515, 563, 275, 269, 16453, 1125, 1239, 630, 28436, 2567, 19147, 3677, 7515, 883, 4130, 3283, 1759, 593, 6198, 29444, 547, 2569, 21336, 3599, 543, 2087, 2773, 780, 2162, 7383, 532, 4578, 689, 5871, 24498, 4813, 1846, 692, 19859, 7809, 7457, 7028, 1104, 532, 1239, 689, 1896, 2442, 5007, 3758, 12043, 1519, 11483, 309, 267, 2473, 11862, 11583, 1070, 24701, 267, 543, 744, 291, 6195, 269, 12989, 267, 649, 7291, 519, 1184, 585, 1104, 532, 1239, 689, 9185, 6119, 1384, 272, 269, 8437, 519, 2387, 2750, 4156, 4578, 319, 9184, 1369, 7457, 563, 273, 269, 7994, 2387, 2750, 4897, 319, 896, 2387, 17387, 1299, 13017, 319, 563, 274, 269, 25873, 547, 12398, 519, 5551, 9185, 3758, 563, 275, 269, 8564, 519, 3617, 4976, 543, 3442, 2901, 2387, 29791, 319, 610, 2387, 17387, 319, 563, 453, 265, 19805, 2387, 29791, 319, 5932, 513, 2661, 4276, 547, 519, 2707, 1239, 1510, 13936, 513, 5299, 3330, 519, 7457, 6538, 563, 453, 265, 19805, 2387, 17387, 319, 12215, 519, 5697, 1239, 883, 513, 1007, 3349, 1369, 519, 7457, 6538, 563, 276, 269, 10934, 4610, 14013, 543, 14574, 2436, 2212, 619, 2291, 1369, 519, 9185, 3561, 563, 277, 269, 17797, 1239, 2010, 543, 1305, 4994, 539, 3681, 607, 2877, 563, 278, 269, 16440, 20558, 585, 2104, 19074, 630, 28436, 1916, 279, 269, 5623, 16865, 1239, 547, 6166, 6111, 543, 1264, 28467, 780, 2162, 14871, 10055, 5004, 543, 18983, 3827, 692, 31572, 3593, 6589, 543, 4259, 3617, 27704, 5849, 602, 1152, 17101, 10986, 723, 1569, 547, 6213, 1239, 269, 1677, 4383, 3755, 538, 7457, 1384, 272, 269, 13782, 622, 547, 519, 2387, 291, 520, 15390, 13088, 319, 9184, 563, 273, 269, 8564, 2387, 27165, 543, 6828, 18983, 3827, 319, 896, 2387, 16966, 6513, 319, 563, 274, 269, 5410, 610, 12189, 3755, 607, 2838, 563, 275, 269, 25849, 5107, 543, 7222, 22864, 563, 276, 269, 5590, 10957, 4170, 543, 1163, 19418, 4507, 563, 277, 269, 18554, 6165, 20743, 21237, 547, 3713, 19035, 2534, 780, 2691, 26587, 10479, 2157, 267, 2015, 1739, 519, 6240, 540, 2547, 17979, 1765, 21671, 3651, 6190, 1569, 2924, 2556, 585, 1142, 1909, 547, 1685, 741, 2816, 11645, 269, 901, 6971, 519, 1981, 540, 23139, 2242, 610, 18532, 17351, 2238, 7133, 2565, 1239, 7221, 780, 2162, 4578, 16453, 1436, 9828, 692, 31863, 1944, 1239, 3322, 12180, 621, 883, 5094, 7515, 1759, 593, 6198, 29444, 547, 7413, 1239, 5918, 6473, 543, 21341, 7526, 269, 1635, 7311, 3339, 1436, 3741, 267, 596, 666, 11126, 4859, 2230, 267, 2087, 13214, 4398, 267, 543, 2226, 1239, 11007, 2066, 2789, 7515, 269, 1703, 616, 2185, 4922, 7608, 3339, 3029, 281, 3689, 16453, 4813, 630, 272, 22143, 1070, 5822, 16453, 4813, 630, 273, 22143, 1070, 12059, 16453, 4813, 630, 274, 22143, 1070, 543, 15196, 576, 4211, 15957, 16453, 4813, 630, 6195, 22143, 6393, 2414, 3035, 476, 272, 22143, 267, 2327, 602, 1169, 6241, 3568, 10570, 2418, 630, 328, 4318, 1421, 1100, 18110, 2516, 264, 543, 602, 2189, 1541, 13294, 630, 27146, 776, 10569, 264, 2291, 585, 1142, 2594, 269, 4329, 3339, 1125, 1239, 547, 3914, 2362, 3339, 3029, 676, 14874, 1098, 1438, 29444, 543, 4180, 2407, 6198, 21341, 1063, 1875, 268, 4486, 10305, 543, 11134, 10569, 780, 2162, 24410, 7632, 327, 17415, 5871, 12983, 4438, 4578, 16949, 692, 7628, 1239, 5610, 3646, 267, 596, 1522, 7237, 1896, 2591, 267, 1519, 1826, 7503, 6959, 267, 25314, 520, 3481, 2361, 13080, 267, 7745, 6402, 267, 29152, 539, 5638, 267, 543, 16789, 569, 3989, 3347, 269, 17372, 891, 2042, 18928, 998, 519, 1739, 4485, 1384, 272, 269, 7392, 23586, 8210, 5558, 281, 6744, 1239, 2010, 538, 1312, 519, 10278, 543, 2707, 7515, 282, 4188, 873, 9935, 1354, 12394, 2417, 5610, 3268, 563, 273, 269, 631, 1143, 520, 3481, 12197, 700, 9975, 281, 3525, 1518, 2361, 7306, 547, 6474, 1346, 1459, 538, 519, 2707, 1239, 610, 959, 15635, 622, 1279, 12673, 1141, 10858, 563, 274, 269, 7935, 5287, 25103, 281, 4676, 3306, 5532, 7515, 610, 9337, 4296, 16924, 952, 789, 1831, 23380, 1813, 547, 3758, 2619, 2242, 610, 12381, 538, 5007, 1239, 3889, 563, 275, 269, 2107, 23782, 539, 19475, 281, 19372, 1201, 22460, 8699, 10148, 1063, 2385, 543, 1126, 7515, 547, 2061, 5137, 540, 29152, 539, 5638, 1282, 1239, 24450, 610, 10311, 563, 276, 269, 8555, 704, 20556, 9502, 281, 7638, 1518, 2078, 8847, 543, 4188, 873, 952, 2556, 547, 2992, 4977, 12205, 1063, 954, 22366, 9988, 780, 14945, 4415, 1697, 4058, 267, 11056, 267, 543, 5826, 267, 10128, 1239, 689, 5007, 2959, 2488, 1713, 1871, 585, 2413, 4213, 5275, 29829, 4030, 689, 3309, 14449, 269, 16792, 1655, 2853, 13890, 538, 713, 1770, 2337, 20928, 32262, 267, 8190, 1239, 2298, 267, 543, 3986, 2949, 10721, 7607, 269, 0, 2237, 513, 3102, 543, 538, 3829, 1837, 593, 1412, 13480, 2897, 12229, 543, 10341, 3299, 3358, 585, 2852, 1053, 563, 2171, 616, 1603, 593, 3184, 1412, 28723, 18482, 2422, 8339, 769, 1880, 267, 3296, 1412, 10574, 5811, 543, 16949, 8339, 3503, 513, 1007, 1770, 11331, 1412, 18204, 7992, 4578, 689, 31072, 17796, 8339, 3371, 781, 930, 1257, 585, 6667, 281, 4578, 6740, 3544, 519, 1699, 6538, 568, 1572, 5007, 1239, 269, 24498, 1239, 949, 581, 1239, 602, 596, 4558, 538, 1776, 7457, 6538, 267, 610, 621, 949, 581, 1239, 602, 596, 4558, 538, 513, 21318, 540, 824, 3758, 12043, 269, 634, 1101, 1900, 538, 8744, 3544, 1239, 689, 9185, 610, 824, 3156, 568, 547, 5965, 519, 5007, 1239, 269, 1323, 23070, 949, 991, 547, 1711, 606, 2272, 543, 1683, 27704, 547, 2327, 602, 519, 1318, 1004, 723, 1569, 547, 519, 1239, 543, 602, 519, 1239, 1281, 711, 1439, 909, 538, 519, 4636, 3946, 269, 630, 2690, 1383, 267, 5520, 685, 14804, 1344, 1590, 581, 6854, 11613, 14804, 4700, 769, 606, 5007, 3611, 780, 2521, 547, 581, 1384, 268, 21004, 281, 3550, 1360, 2143, 543, 538, 3829, 3795, 540, 519, 2035, 563, 268, 12056, 281, 3503, 609, 606, 4081, 543, 2502, 3159, 602, 7380, 919, 1719, 563, 268, 11930, 281, 2422, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 2252, 972, 616, 6310, 7215, 946, 513, 2953, 17623, 311, 11249, 269, 1684, 711, 946, 2592, 543, 2057, 2606, 2453, 971, 607, 834, 342, 4372, 547, 713, 1770, 257, 693, 519, 4098, 610, 8753, 519, 1439, 269, 0, 3848, 476, 1015, 281, 6468, 781, 670, 15736, 543, 16844, 538, 519, 22505, 692, 1103, 3345, 3013, 267, 4672, 19735, 814, 1279, 1044, 2808, 513, 5256, 26730, 3990, 7328, 269, 1717, 267, 2053, 723, 4957, 256, 4653, 267, 649, 616, 7487, 811, 543, 811, 6690, 543, 2021, 561, 5217, 909, 741, 1236, 919, 543, 2921, 547, 519, 4672, 269, 901, 3184, 786, 6338, 596, 547, 519, 13858, 1158, 540, 2021, 781, 19735, 543, 5031, 922, 2956, 538, 5009, 4763, 1369, 519, 7328, 780, 4089, 476, 272, 281, 589, 16684, 3778, 540, 6468, 781, 10979, 670, 15736, 692, 296, 576, 19735, 1500, 922, 16727, 26813, 538, 476, 4572, 271, 855, 1705, 711, 4183, 1022, 4775, 9845, 2394, 32210, 1296, 2663, 693, 519, 18491, 8457 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 288, 2199, 32082, 568, 21365, 5198, 538, 513, 1079, 851, 1576, 563, 298, 617, 328, 752, 5441, 2296, 7548, 808, 1563, 26186, 514, 3366, 519, 1101, 1362, 593, 13638, 543, 14360, 14940, 782, 519, 1259, 1394, 547, 519, 5072, 540, 519, 1480, 5198, 563, 14881, 2253, 476, 4335, 267, 1822, 1296, 3516, 609, 21667, 538, 4000, 543, 596, 4076, 575, 27198, 2911, 827, 9194, 3270, 543, 1287, 875, 2516, 540, 4630, 334, 18682, 16772, 9678, 2933, 543, 2919, 1114, 4162, 3034, 26364, 858, 514, 3081, 1010, 4081, 1445, 814, 1044, 5198, 538, 3013, 267, 543, 519, 2034, 11000, 786, 1445, 593, 5198, 607, 513, 1514, 4020, 538, 519, 2136, 2276, 563, 10527, 1523, 540, 1373, 3043, 814, 1044, 538, 13441, 269, 634, 2898, 3043, 15918, 871, 11008, 1436, 27524, 30315, 729, 11827, 827, 476, 4968, 267, 476, 1220, 1296, 3516, 267, 865, 621, 729, 2653, 585, 3043, 1004, 547, 2161, 602, 972, 779, 606, 6803, 1268, 267, 972, 779, 606, 968, 1278, 1268, 3034, 3891, 2798, 547, 519, 1974, 538, 1977, 1686, 950, 1082, 11082, 8593, 883, 519, 7121, 540, 968, 1492, 824, 3034, 2108, 28049, 267, 9456, 17417, 267, 6014, 1004, 849, 14201, 1406, 2141, 851, 540, 519, 3043, 7121, 269, 4634, 9721, 14201, 1406, 851, 540, 519, 3043, 7121, 2394, 4440, 1310, 13431, 296, 3034, 26364, 858, 514, 786, 3382, 930, 540, 519, 13346, 4441, 540, 5198, 538, 519, 2034, 11000, 1985, 3018, 269, 2334, 3580, 581, 476, 278, 533, 6230, 269, 13638, 693, 918, 617, 328, 752, 5441, 269, 0, 7628, 519, 476, 1708, 271, 30814, 5859, 267, 513, 3948, 676, 519, 19115, 4115, 11134, 267, 11835, 808, 3073, 27255, 267, 16079, 539, 2066, 2923, 9055, 543, 6949, 730, 609, 1082, 281, 968, 2005, 568, 711, 2614, 547, 711, 581, 513, 22457, 269, 1284, 1590, 581, 8362, 4550, 268, 2350, 626, 1848, 901, 605, 17474, 7012, 1406, 1175, 513, 2797, 18879, 269, 898, 729, 606, 14849, 1289, 547, 2962, 543, 513, 7096, 5813, 883, 519, 2295, 540, 1018, 3020, 10892, 1797, 563, 307, 16260, 267, 607, 513, 1523, 267, 1419, 8580, 999, 909, 519, 2856, 540, 1780, 1947, 16561, 610, 11972, 18312, 16752, 610, 2853, 1510, 13779, 269, 1717, 267, 538, 519, 2796, 540, 6848, 2152, 899, 10168, 267, 713, 4214, 4667, 13385, 269, 32641, 3884, 1406, 1175, 513, 18312, 21169, 282, 621, 779, 606, 26568, 1062, 602, 8589, 3278, 543, 28746, 922, 9601, 269, 769, 713, 1769, 267, 10892, 1590, 11457, 3564, 12809, 10343, 563, 18455, 8362, 4550, 268, 2350, 626, 1797, 19480, 909, 543, 21350, 6005, 707, 7106, 549, 1998, 950, 22166, 556, 1513, 922, 2212, 267, 2523, 538, 938, 2123, 21384, 269, 898, 779, 811, 982, 1175, 711, 10283, 538, 11830, 5367, 7391, 282, 621, 779, 827, 4259, 2312, 6302, 609, 1346, 1472, 596, 269, 4658, 945, 2170, 609, 596, 1058, 917, 602, 3541, 690, 2218, 1793, 2720, 899, 519, 715, 610, 674, 2262, 723, 1100, 1747, 538, 707, 4527, 269, 898, 779, 827, 2870, 606, 1604, 1141, 7292, 267, 4008, 267, 543, 4638, 18441, 1745, 2922, 267, 15197, 267, 543, 6870, 563, 297, 3073, 27255, 779, 3948, 9356, 513, 4514, 267, 811, 3742, 1620, 540, 10892, 269, 898, 5267, 602, 621, 779, 711, 2614, 547, 8806, 31831, 689, 22457, 3527, 610, 4978, 269, 6936, 10892, 7569, 2962, 269, 898, 7569, 602, 649, 1796, 1996, 1949, 543, 19237, 602, 3895, 22166, 563, 1103, 519, 6626, 12106, 540, 2486, 267, 8508, 3020, 10892, 1797, 649, 28487, 1996, 2462, 582, 787, 267, 4161, 7292, 28639, 267, 543, 24905, 548, 11528, 7130, 269, 1809, 621, 779, 849, 827, 519, 11029, 4948, 3527, 1107, 10912, 856, 513, 3659, 779, 11830, 5367, 24983, 267, 18997, 13951, 827, 824, 4529, 267, 610, 7586, 4328, 12790, 9739, 563, 763, 31672, 540, 2913, 11482, 633, 25856, 1472, 519, 3741, 540, 9844, 543, 267, 8197, 267, 10892, 269, 1809, 1934, 779, 606, 1898, 5168, 281, 589, 5963, 27031, 2486, 786, 711, 1107, 543, 1058, 711, 1107, 20496, 22166, 269, 901, 1522, 3280, 19433, 673, 267, 855, 950, 596, 2015, 519, 28746, 602, 22166, 1102, 26555, 267, 621, 779, 513, 9266, 18879, 269, 1677, 20496, 22166, 568, 547, 1450, 519, 1360, 25710, 4185, 540, 5191, 543, 9698, 547, 1332, 543, 535, 6856, 563, 18455, 2048, 2254, 22457, 685, 568, 513, 12809, 1533, 267, 543, 1247, 621, 779, 2556, 267, 621, 779, 711, 6190, 269, 9861, 8362, 4550, 268, 2350, 626, 568, 513, 7029, 547, 4161, 267, 1689, 267, 543, 22299, 513, 1158, 1141, 1169, 1367, 568, 24565, 711, 676, 741, 2960, 2681, 855, 676, 741, 1915, 543, 3527, 563, 13825, 808, 3073, 27255, 779, 1289, 547, 581, 968, 26754, 4550, 268, 2350, 626, 892, 7012, 1406, 1175, 513, 5859, 5048, 269, 898, 779, 513, 15400, 5692, 267, 543, 621, 779, 693, 519, 4295, 540, 1018, 621, 1797, 547, 5963, 1871, 10892, 538, 938, 2486, 563, 2414, 1628, 513, 1158, 540, 3020, 10892, 267, 649, 1590, 11179, 1796, 1996, 519, 20224, 540, 22166, 269, 8307, 1287, 666, 649, 4126, 547, 1711, 513, 2486, 1141, 1169, 1367, 29263, 538, 519, 32689, 1769, 540, 5191, 267, 9698, 267, 543, 8994, 2463, 269, 0, 288, 15682, 540, 3730, 3615, 1336, 593, 519, 1357, 585, 3450, 13174, 563, 288, 2370, 1447, 834, 9418, 3734, 257, 982, 634, 17361, 540, 519, 17807, 543, 10713, 7051, 267, 18562, 267, 713, 2450, 6476, 540, 3388, 568, 4440, 811, 4277, 547, 930, 1053, 269, 623, 640, 972, 781, 1100, 4336, 593, 621, 563, 280, 4864, 476, 1001, 274, 22478, 281, 476, 1839, 5988, 476, 1001, 275, 454, 8138, 2466, 513, 15494, 547, 713, 3095, 1923, 6435, 5447, 713, 3095, 547, 29517, 9119, 28924, 629, 4926, 5447, 713, 3095, 547, 634, 8241, 15099, 454, 27645, 267, 946, 519, 10374, 17372, 563, 1607, 2110, 2232, 786, 3142, 596, 1394, 547, 713, 2985, 269, 898, 568, 10156, 547, 2328, 538, 6054, 547, 4704, 713, 3095, 563, 2414, 946, 519, 8638, 4183, 267, 1101, 6178, 909, 585, 1863, 454, 528, 952, 2907, 10805, 267, 6178, 538, 454, 1692, 723, 596, 1031, 713, 3095, 538, 707, 4928, 286, 9523, 707, 3450, 2093, 610, 4734, 513, 2689, 827, 713, 3095, 563, 14294, 538, 547, 4734, 513, 6085, 563, 2467, 616, 1100, 8292, 585, 713, 3095, 269, 0, 7212, 2597, 2530, 568, 513, 1455, 3804, 585, 1082, 2043, 11451, 267, 621, 3085, 1406, 2097, 538, 513, 835, 20695, 1922, 1080, 22433, 4542, 269, 634, 2619, 547, 8236, 513, 2635, 2597, 2530, 568, 513, 2189, 3460, 602, 3340, 606, 1620, 540, 835, 779, 23141, 269, 1284, 786, 581, 7234, 519, 19070, 531, 540, 3608, 12485, 547, 2308, 585, 513, 3811, 2597, 2530, 3460, 563, 763, 19043, 540, 7195, 2331, 10791, 454, 288, 7059, 2732, 568, 7533, 547, 9561, 2597, 1072, 1176, 269, 898, 4016, 547, 519, 4616, 540, 8795, 1426, 538, 519, 1318, 17114, 269, 589, 7059, 2732, 2488, 519, 1560, 609, 519, 2565, 5567, 2877, 585, 1697, 8647, 1247, 29000, 519, 2597, 2530, 1184, 269, 634, 2732, 1058, 2270, 7850, 5666, 540, 2898, 9274, 267, 5613, 267, 5388, 267, 5946, 267, 543, 9600, 563, 8777, 1645, 538, 8617, 8447, 11644, 454, 16498, 5751, 1404, 513, 2629, 1909, 538, 8781, 4430, 9600, 543, 8477, 538, 519, 1560, 269, 1452, 13467, 3565, 3648, 547, 2597, 2530, 1247, 5355, 2949, 1560, 1072, 269, 11242, 971, 607, 10977, 267, 28185, 3101, 267, 19482, 267, 610, 1256, 1490, 7416, 6972, 666, 1106, 851, 540, 513, 2834, 3635, 20786, 563, 22134, 1674, 281, 589, 6206, 3281, 9426, 538, 13379, 13809, 454, 22134, 1674, 568, 1419, 15763, 267, 2943, 621, 4249, 513, 2629, 1909, 538, 519, 2597, 2530, 1184, 269, 25530, 606, 7850, 2179, 540, 1216, 3232, 8309, 547, 519, 3608, 8647, 540, 519, 10307, 267, 7393, 2597, 2530, 563, 27735, 540, 29615, 12930, 12619, 454, 288, 1372, 12930, 3207, 568, 1776, 3815, 602, 7506, 519, 2597, 2530, 1184, 269, 19768, 540, 6190, 3207, 666, 2014, 2597, 2744, 267, 607, 621, 7519, 338, 519, 1560, 779, 10307, 267, 3056, 547, 519, 28537, 4616, 540, 1648, 563, 31572, 13262, 20946, 454, 763, 2702, 547, 4383, 2566, 568, 606, 1271, 2460, 585, 1346, 1032, 940, 585, 2635, 2597, 2530, 269, 4400, 3613, 816, 2157, 666, 1291, 547, 2799, 26351, 585, 14432, 1426, 267, 8754, 3056, 547, 2597, 2744, 563, 19931, 2597, 2530, 3322, 513, 4999, 540, 2853, 602, 5097, 1331, 513, 7059, 2732, 543, 2834, 2168, 2238, 269, 4033, 2188, 971, 607, 519, 6981, 540, 7850, 1216, 267, 6190, 3207, 267, 543, 519, 2359, 540, 2566, 616, 8449, 1271, 269, 3117, 29548, 568, 849, 1883, 547, 8236, 3811, 2597, 2530, 269, 21150, 1046, 532, 593, 513, 2597, 2530, 3460, 568, 711, 1175, 827, 9561, 519, 4430, 6550, 855, 2713, 513, 8902, 543, 18668, 1272, 2949, 563, 268, 18043, 11150, 543, 13229, 9828, 547, 24665, 622, 13379, 13809, 543, 700, 846, 513, 12942, 27997, 569, 454, 268, 13028, 519, 4107, 13229, 11150, 585, 16797, 543, 12655, 13379, 13809, 454, 268, 476, 276, 13229, 15310, 13809, 11150, 281, 589, 18043, 6651, 454, 268, 1133, 557, 4979, 13229, 11150, 585, 21826, 853, 6729, 15310, 13809, 454, 268, 13028, 519, 4107, 13229, 9537, 540, 674, 8463, 585, 8838, 2711, 13379, 13809, 0, 1103, 2221, 779, 6385, 9687, 3059, 5251, 267, 519, 5769, 540, 12085, 630, 31166, 264, 6763, 693, 519, 21282, 540, 5969, 12967, 6639, 7760, 269, 14164, 1646, 2029, 814, 19117, 519, 1259, 649, 2170, 609, 938, 10450, 267, 1818, 621, 2009, 547, 1921, 1585, 3457, 543, 1949, 547, 519, 4950, 269, 901, 2376, 12538, 883, 519, 1158, 540, 14164, 1646, 267, 3695, 922, 4720, 267, 1883, 3334, 267, 3156, 267, 2591, 267, 543, 519, 3078, 2104, 602, 6013, 6619, 563, 763, 12472, 540, 14164, 4886, 5303, 454, 15900, 16610, 543, 3194, 454, 763, 1523, 540, 14164, 7389, 1394, 547, 519, 3735, 476, 736, 628, 2540, 267, 1141, 621, 729, 1101, 8268, 607, 513, 1259, 547, 32144, 3457, 585, 12957, 543, 1239, 5385, 269, 7216, 1382, 21490, 519, 1259, 585, 519, 1646, 540, 2596, 14164, 1949, 267, 4352, 7839, 10073, 729, 12042, 1229, 676, 6639, 7687, 563, 3849, 9330, 906, 538, 4045, 2032, 543, 9442, 16257, 338, 454, 7021, 519, 1296, 267, 7760, 538, 2792, 4066, 267, 971, 607, 15261, 19712, 267, 29402, 267, 543, 10408, 5121, 267, 723, 1044, 15747, 538, 4412, 2454, 14164, 1646, 4464, 269, 1452, 14479, 3681, 4847, 3457, 547, 5968, 16900, 543, 7561, 267, 14123, 519, 2208, 540, 14164, 3156, 2066, 1585, 6080, 563, 7659, 22020, 540, 14164, 4886, 5303, 454, 306, 839, 832, 543, 2920, 340, 2209, 454, 4263, 519, 2295, 540, 14164, 1646, 2029, 616, 8596, 543, 27103, 2209, 269, 11576, 832, 2445, 1239, 689, 519, 4478, 1604, 267, 1247, 27103, 2209, 5512, 3457, 547, 1491, 2962, 1759, 593, 602, 1239, 269, 1452, 3334, 1404, 513, 2629, 1909, 538, 1818, 3457, 5100, 543, 17841, 267, 8108, 519, 5748, 540, 14164, 3435, 563, 31166, 15107, 13257, 543, 13192, 7896, 454, 31166, 5867, 543, 6531, 2533, 1683, 519, 5989, 585, 5883, 543, 7421, 519, 5318, 2179, 540, 1239, 6383, 676, 14164, 3457, 269, 1452, 5867, 2709, 513, 2039, 540, 2934, 267, 1519, 1239, 4859, 267, 12642, 267, 543, 3354, 267, 1818, 621, 4443, 585, 4213, 543, 9367, 547, 1711, 5499, 14164, 3156, 563, 21104, 725, 540, 14164, 4886, 5303, 454, 27319, 23467, 543, 5851, 28290, 454, 31166, 814, 9927, 5321, 883, 5100, 267, 10562, 5624, 269, 3245, 5100, 27687, 1846, 543, 8654, 1949, 547, 5639, 19840, 17300, 20843, 267, 21427, 666, 1852, 1585, 3344, 540, 741, 5321, 20716, 267, 7393, 13418, 543, 1648, 4398, 563, 26581, 7434, 14164, 543, 19007, 454, 1103, 519, 4853, 5823, 267, 14164, 1646, 2029, 814, 13087, 519, 1523, 540, 12752, 476, 275, 269, 271, 267, 5807, 12957, 267, 16762, 5826, 267, 543, 1483, 6066, 5464, 540, 12227, 269, 901, 5610, 5688, 3278, 2504, 3157, 267, 4227, 29987, 543, 7393, 7607, 563, 10890, 3249, 543, 6481, 20905, 454, 31166, 4249, 513, 1713, 1909, 538, 519, 3782, 2872, 676, 1379, 532, 28707, 3457, 267, 6552, 3461, 5464, 267, 543, 7658, 25924, 3435, 269, 901, 2029, 2636, 3782, 4648, 547, 6895, 2550, 685, 4105, 4191, 543, 1072, 2175, 689, 513, 3845, 267, 5355, 3461, 4093, 543, 10333, 547, 1416, 563, 9558, 1636, 566, 543, 12829, 20079, 454, 31166, 779, 1764, 593, 6283, 568, 10423, 998, 4448, 6472, 543, 5100, 6283, 1949, 269, 769, 5100, 4872, 267, 14164, 2029, 5688, 3278, 6808, 2359, 267, 3653, 2359, 267, 543, 1648, 4616, 267, 7700, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 5002, 271, 338, 267, 5156, 602, 1169, 2262, 538, 513, 6648, 1058, 3565, 547, 2870, 513, 2178, 3308, 3239, 585, 3988, 269, 2913, 781, 2263, 875, 789, 1705, 713, 1247, 1565, 827, 513, 4583, 22569, 626, 6648, 1572, 834, 1103, 513, 13749, 540, 519, 5450, 549, 257, 2854, 676, 26442, 571, 623, 895, 780, 292, 345, 571, 623, 895, 630, 6642, 276, 1700, 3192, 273, 264, 729, 606, 1977, 10564, 945, 5129, 513, 1713, 1909, 538, 5935, 2413, 3332, 269, 1261, 4941, 6965, 547, 1445, 593, 2312, 2592, 2864, 982, 7493, 2035, 610, 1950, 23199, 269, 1677, 3035, 713, 3804, 267, 646, 4553, 1614, 3741, 950, 21882, 9954, 1384, 272, 269, 6034, 2126, 540, 519, 1412, 2251, 9166, 14674, 3615, 610, 2833, 4010, 607, 789, 2408, 1510, 4946, 2123, 8369, 610, 4664, 563, 273, 269, 2422, 1100, 15988, 1663, 748, 2262, 281, 5272, 2582, 2262, 1590, 1293, 2509, 7393, 519, 3239, 563, 274, 269, 23531, 610, 7574, 8360, 281, 3962, 14235, 1058, 723, 11733, 543, 3280, 899, 2575, 780, 3086, 1577, 721, 4685, 883, 1620, 1010, 1034, 9976, 22569, 626, 6648, 267, 834, 1103, 513, 13749, 540, 519, 5450, 549, 257, 1384, 763, 15457, 819, 540, 891, 8188, 538, 519, 15624, 282, 8891, 1023, 593, 513, 6632, 267, 3109, 536, 965, 780, 1607, 2110, 6648, 814, 1152, 1079, 5220, 267, 5627, 1175, 476, 1691, 2241, 2943, 3532, 1913, 269, 2311, 1101, 16145, 267, 621, 949, 3100, 1932, 5618, 610, 14845, 267, 855, 3314, 1018, 649, 4121, 4505, 827, 22569, 626, 6965, 286, 898, 6663, 547, 7001, 513, 4090, 610, 6429, 10502, 543, 12667, 569, 269, 1924, 267, 1018, 1281, 623, 895, 1616, 721, 547, 19424, 1934, 2496, 5575, 7412, 281, 634, 2561, 541, 819, 540, 1452, 674, 2167, 538, 519, 18844, 323, 692, 303, 27348, 3054, 7555, 538, 513, 22125, 1016, 3118, 6728, 1282, 19060, 5662, 269, 4658, 7903, 2250, 1142, 824, 3533, 267, 9292, 11538, 547, 6952, 741, 14884, 269, 27933, 560, 782, 713, 14784, 267, 596, 5469, 1367, 8188, 8429, 676, 1107, 865, 1082, 1114, 7215, 267, 6502, 267, 6803, 885, 269, 2368, 8188, 1413, 13110, 267, 1866, 14126, 267, 19252, 267, 8049, 267, 14281, 910, 3592, 899, 15293, 569, 23079, 10393, 17729, 1287, 7106, 8960, 1354, 707, 4064, 269, 901, 568, 519, 1412, 1952, 541, 819, 262, 623, 895, 4016, 547, 780, 13553, 7412, 281, 8891, 1023, 593, 513, 22911, 267, 4563, 645, 965, 692, 13914, 827, 22269, 32395, 24968, 16559, 936, 513, 4158, 267, 4764, 27940, 8898, 7936, 3544, 1310, 513, 7088, 269, 18564, 875, 29535, 2299, 519, 2571, 11909, 880, 22554, 24968, 4334, 1996, 519, 22880, 14334, 540, 519, 6632, 8371, 269, 5994, 873, 9900, 2220, 11691, 538, 519, 30089, 267, 7444, 9991, 1524, 5196, 519, 2666, 2630, 780, 299, 9722, 519, 5565, 8625, 692, 1432, 13462, 891, 1079, 9583, 19635, 2592, 286, 1280, 623, 895, 267, 972, 781, 513, 16726, 1063, 11287, 2189, 1480, 8188, 24847, 3001, 1851, 21046, 543, 8098, 3931, 10347, 24968, 13735, 1055, 513, 3529, 18215, 269, 5637, 8320, 4125, 23644, 5898, 9624, 513, 20457, 540, 3586, 1689, 543, 3350, 269, 1635, 16046, 891, 1079, 2592, 267, 623, 895, 7512, 721, 547, 5660, 7904, 7566, 8090, 540, 1272, 543, 14719, 622, 741, 4644, 780, 12244, 5384, 2439, 8620, 2659, 13574, 22569, 626, 7313, 655, 1384, 272, 269, 7994, 513, 4259, 610, 3510, 1141, 596, 7747, 2789, 1919, 8345, 8195, 630, 3697, 513, 6288, 267, 19458, 267, 32041, 267, 3092, 28593, 273, 269, 3503, 1524, 1808, 7422, 2519, 593, 10444, 3877, 971, 607, 24738, 267, 4992, 267, 24462, 267, 16919, 267, 610, 4606, 563, 274, 269, 8564, 1079, 3982, 5396, 610, 10207, 689, 707, 4967, 543, 1265, 513, 4276, 1063, 873, 563, 275, 269, 14958, 513, 2110, 6648, 13830, 1312, 10207, 543, 10771, 741, 3838, 7907, 269, 5457, 547, 1832, 707, 1893, 5730, 543, 9004, 11991, 1913, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2414, 930, 267, 519, 6648, 1522, 2161, 811, 538, 922, 2497, 267, 607, 513, 8231, 1652, 4337, 626, 6648, 540, 27552, 1913, 982, 609, 1346, 27552, 1913, 269, 700, 262, 9209, 267, 476, 4489, 271, 5682, 28227, 1159, 18193, 593, 606, 4212, 22554, 12308, 267, 12724, 1117, 22229, 256, 1656, 4352, 519, 2511, 568, 16613, 267, 713, 568, 711, 693, 782, 1317, 621, 568, 23696, 267, 607, 26442, 571, 623, 895, 9727, 3362, 1369, 713, 960, 269, 1488, 7666, 2406, 519, 2295, 540, 519, 6648, 568, 711, 519, 1101, 1899, 267, 6862, 519, 2034, 267, 855, 519, 2790, 1184, 602, 6402, 519, 1079, 1927, 269, 769, 513, 13749, 540, 519, 5450, 549, 676, 26442, 571, 623, 895, 281, 12834, 543, 5811, 769, 513, 13749, 540, 519, 5450, 549, 3370, 538, 476, 4489, 274, 676, 26442, 571, 623, 895, 568, 519, 1655, 1383, 540, 22569, 626, 6965, 602, 3568, 1175, 476, 1691, 1913, 4389, 689, 13977, 3515, 799, 6813, 519, 8856, 540, 1893, 269, 634, 6648, 729, 1065, 11781, 539, 538, 623, 895, 781, 4015, 700, 755, 571, 538, 476, 4489, 278, 267, 543, 1586, 538, 519, 476, 4572, 277, 16320, 1108, 12287, 2801, 281, 634, 11814, 539, 31888, 540, 26442, 571, 623, 895, 267, 799, 16432, 1010, 2038, 840, 268, 1568, 563, 8340, 2959, 281, 2443, 5788, 5788, 5788, 5788, 2904, 476, 1220, 280, 634, 6648, 729, 1101, 3370, 538, 476, 4489, 274, 543, 568, 2808, 835, 540, 519, 3056, 1093, 324, 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, 594, 4312, 2141, 1044, 606, 13476, 6857, 1268, 267, 865, 950, 1250, 7649, 6700, 649, 2322, 3859, 8440, 593, 938, 8122, 267, 594, 729, 4278, 2683, 269, 1284, 2661, 538, 13566, 14151, 267, 1310, 782, 267, 1141, 621, 4667, 899, 519, 3141, 568, 26124, 1032, 15778, 269, 9578, 267, 594, 6068, 519, 2856, 540, 4227, 938, 3327, 11640, 543, 9494, 2724, 593, 5201, 12014, 538, 519, 1279, 2196, 269, 898, 32131, 899, 513, 3094, 2914, 514, 2439, 2171, 1705, 938, 1382, 267, 31570, 930, 4648, 267, 543, 5555, 1185, 1346, 21743, 3109, 2281, 8704, 593, 938, 8122, 269, 3776, 1753, 2968, 835, 540, 519, 1906, 8075, 538, 519, 8378, 8508, 7791, 1648, 1107, 1945, 649, 3576, 11348, 538, 269, 3733, 13395, 1719, 538, 10357, 7888, 3435, 5921, 594, 1223, 23217, 2911, 827, 519, 2640, 540, 3859, 1379, 693, 12129, 6105, 1510, 1373, 15034, 540, 1373, 513, 16004, 630, 520, 2547, 267, 1034, 540, 519, 942, 6393, 2026, 585, 519, 3355, 5092, 267, 621, 7012, 1405, 4010, 10464, 267, 855, 1063, 2229, 15314, 543, 519, 9153, 540, 2539, 10626, 3790, 1524, 519, 1899, 267, 649, 5433, 1434, 827, 3001, 4464, 269, 1656, 30971, 267, 952, 4432, 517, 30073, 1223, 1628, 513, 9649, 6007, 538, 5245, 267, 15983, 649, 1223, 4383, 930, 31241, 641, 22425, 923, 267, 1318, 2496, 11039, 267, 1919, 4769, 1405, 979, 3833, 607, 12347, 607, 9709, 269, 1411, 1294, 267, 1247, 649, 941, 11981, 938, 834, 30236, 257, 543, 1582, 1606, 11211, 6197, 267, 972, 729, 1175, 835, 1966, 1765, 712, 3167, 1286, 6854, 12955, 693, 4351, 2053, 269, 2311, 1101, 267, 649, 2219, 6148, 621, 729, 3593, 5470, 282, 5310, 649, 14201, 1405, 12123, 621, 5265, 610, 6117, 7561, 2614, 269, 1809, 4166, 2614, 267, 649, 4362, 519, 27521, 3297, 891, 24858, 23659, 17313, 281, 938, 11537, 3859, 8440, 780, 2005, 5828, 856, 602, 1282, 8445, 4832, 3275, 267, 938, 3859, 1062, 1131, 5352, 4430, 1648, 3564, 1018, 938, 7622, 10057, 269, 10251, 267, 3079, 540, 11488, 602, 21045, 1394, 547, 519, 7470, 630, 553, 649, 4397, 1070, 938, 10626, 2754, 4956, 547, 5491, 721, 30779, 625, 829, 4893, 578, 3430, 16923, 269, 901, 2451, 721, 18843, 539, 609, 3063, 1379, 543, 1100, 1259, 547, 4558, 621, 3927, 269, 1306, 513, 1267, 267, 938, 3167, 6174, 8694, 909, 10438, 519, 24492, 267, 799, 6038, 3366, 547, 922, 16349, 27757, 780, 1607, 6397, 4729, 6335, 7142, 803, 547, 556, 29264, 519, 3020, 1871, 540, 7791, 1648, 2959, 899, 3859, 1379, 269, 17610, 267, 789, 2709, 3875, 5383, 267, 689, 4389, 8511, 3154, 5434, 547, 1761, 2816, 5137, 269, 1717, 267, 789, 849, 2097, 609, 2591, 1107, 2523, 950, 621, 2501, 547, 5883, 11385, 908, 3761, 543, 3747, 780, 1103, 24794, 1051, 267, 594, 7691, 602, 12561, 5710, 1963, 3340, 6297, 4058, 543, 11558, 1851, 1585, 8639, 267, 1519, 20848, 3549, 267, 22124, 267, 543, 6800, 2933, 269, 2755, 594, 1869, 3494, 538, 28006, 2509, 15777, 8925, 267, 1250, 1995, 6026, 803, 519, 2956, 540, 5466, 4052, 4145, 1354, 17259, 2212, 14140, 883, 1022, 27581, 1412, 13582, 262, 3070, 780, 4517, 9811, 267, 596, 914, 707, 6653, 1979, 653, 344, 594, 1631, 1378, 513, 10316, 1286, 269, 17926, 3268, 267, 1004, 267, 4816, 3268, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 18658, 616, 519, 5383, 543, 11393, 540, 7791, 1648, 2959, 888, 26794, 912, 272, 269, 24997, 1648, 2959, 616, 2973, 543, 798, 711, 3132, 8511, 9362, 610, 824, 5739, 5434, 563, 273, 269, 1358, 616, 10731, 543, 666, 581, 1336, 538, 1082, 1114, 3029, 267, 1519, 2842, 267, 3859, 267, 8652, 267, 543, 24232, 563, 274, 269, 1358, 666, 1711, 6009, 543, 5818, 2199, 11615, 563, 275, 269, 24997, 1648, 2959, 616, 1419, 811, 1942, 15807, 538, 519, 1279, 2196, 982, 1875, 3146, 2908, 762, 2959, 563, 276, 269, 1358, 666, 581, 18228, 267, 3246, 2199, 2950, 609, 811, 1852, 936, 741, 1648, 2504, 543, 4616, 563, 277, 269, 1358, 616, 711, 1641, 547, 519, 1482, 3902, 15088, 607, 1875, 3146, 2908, 762, 1648, 2959, 780, 11514, 23955, 912, 272, 269, 2368, 7791, 1648, 2959, 267, 971, 607, 2842, 543, 3859, 267, 616, 26740, 543, 666, 581, 31877, 563, 273, 269, 1358, 1419, 2154, 1804, 909, 12506, 9541, 267, 971, 607, 2679, 2842, 18434, 610, 16459, 3859, 8440, 563, 274, 269, 24997, 1648, 2959, 666, 723, 2942, 2825, 5222, 267, 971, 607, 2244, 946, 7526, 610, 2800, 547, 7320, 563, 275, 269, 570, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3008, 12458, 1377, 8535, 454, 19119, 540, 15175, 547, 654, 297, 4488, 661, 706, 336, 553, 454, 268, 2561, 24597, 1305, 1568, 1107, 9351, 540, 1353, 674, 454, 268, 2561, 24597, 1305, 1568, 910, 9351, 540, 1353, 674, 281, 20553, 519, 26062, 3689, 11416, 454, 268, 6657, 5999, 585, 19791, 540, 5530, 645, 454, 268, 6657, 5999, 585, 19791, 540, 5530, 595, 454, 268, 6657, 5999, 585, 19791, 540, 5530, 667, 454, 268, 1306, 2643, 320, 267, 11873, 476, 274, 267, 7338, 1520, 525, 454, 268, 8278, 560, 553, 1470, 689, 1306, 2643, 320, 630, 24171, 1520, 11726, 338, 264, 28042, 24143, 454, 268, 2561, 24597, 1305, 1568, 281, 20553, 519, 3828, 12351, 11416, 454, 268, 2561, 24597, 1305, 1568, 281, 634, 5375, 18190, 28673, 454, 268, 6789, 30334, 585, 9752, 454, 268, 589, 1377, 30334, 585, 9752, 454, 268, 11193, 16680, 902, 6789, 2200, 454, 268, 11193, 16680, 902, 589, 1377, 2200, 454, 268, 21642, 31763, 564, 630, 302, 16476, 4993, 264, 22123, 2142, 600, 880, 630, 21459, 6060, 994, 268, 21642, 31763, 564, 630, 302, 16476, 4993, 264, 22123, 2142, 600, 880, 630, 30672, 994, 5472, 6092, 10049, 454, 2171, 2709, 513, 2039, 540, 2326, 547, 1489, 519, 3450, 543, 1565, 540, 713, 28730, 563, 5970, 596, 2808, 519, 2640, 547, 707, 8998, 543, 1053, 538, 23072, 606, 4429, 5978, 5426, 476, 274, 27326, 5741, 28730, 630, 7968, 304, 264, 568, 513, 1863, 7555, 28730, 2139, 547, 1053, 538, 4429, 310, 297, 4488, 661, 706, 336, 553, 547, 7390, 8535, 4065, 5890, 334, 543, 28042, 20989, 1299, 30765, 4065, 2483, 1839, 543, 476, 2918, 5988, 1923, 5507, 454, 310, 297, 4488, 661, 706, 336, 553, 568, 20938, 547, 581, 11504, 519, 8535, 4065, 5890, 334, 593, 476, 1839, 4429, 11045, 15659, 7574, 4763, 454, 2171, 616, 20938, 547, 14773, 602, 938, 24194, 540, 6963, 539, 8535, 16551, 267, 585, 1101, 3450, 689, 4429, 14483, 654, 297, 4488, 10410, 2305, 454, 310, 297, 4488, 5170, 547, 1683, 1489, 543, 2866, 547, 782, 5177, 3506, 543, 12621, 3450, 938, 654, 297, 4488, 717, 4753, 8535, 20487, 269, 901, 28730, 5170, 547, 2196, 538, 4789, 2394, 922, 3803, 4879, 267, 676, 799, 942, 519, 654, 297, 4488, 661, 706, 336, 553, 20340, 786, 2907, 581, 2139, 547, 3506, 543, 12621, 269, 0, 763, 8366, 814, 1044, 11292, 538, 3210, 547, 623, 3198, 16598, 12788, 781, 6388, 543, 3811, 5106, 540, 513, 2189, 1344, 1062, 585, 2895, 1516, 267, 13629, 543, 4393, 540, 3618, 1062, 1239, 269, 23850, 547, 1489, 606, 7533, 2070, 593, 3618, 267, 713, 1344, 1062, 729, 3957, 1310, 519, 2706, 29657, 267, 9256, 782, 17407, 476, 1220, 28985, 1296, 3516, 281, 623, 836, 2801, 320, 563, 7628, 519, 2063, 5756, 519, 12588, 543, 8856, 540, 2645, 1031, 547, 3732, 543, 5659, 938, 3618, 723, 2799, 28354, 910, 609, 606, 26922, 2333, 538, 519, 4611, 1239, 3977, 269, 2311, 519, 1482, 942, 267, 519, 1344, 2029, 814, 1500, 1713, 8441, 267, 799, 1450, 4859, 267, 3892, 543, 4393, 540, 513, 5176, 19957, 2179, 540, 1239, 269, 3502, 21276, 609, 713, 3356, 568, 267, 2705, 267, 519, 1646, 540, 513, 1644, 2528, 585, 513, 4264, 6765, 540, 3621, 1239, 547, 2104, 1382, 454, 2005, 568, 1100, 3476, 15164, 547, 15476, 1239, 538, 12326, 269, 769, 19220, 540, 713, 267, 519, 12190, 4919, 2895, 1516, 540, 3119, 1239, 689, 3785, 543, 12326, 568, 1869, 711, 606, 7533, 851, 540, 519, 3621, 20104, 543, 3976, 1034, 540, 519, 1239, 616, 3478, 4503, 1247, 8800, 543, 3301, 616, 4657, 3533, 269, 4653, 713, 568, 2808, 547, 581, 835, 540, 519, 1034, 2629, 19518, 538, 2257, 269, 15316, 5238, 267, 13210, 543, 3486, 3906, 899, 519, 31232, 616, 4867, 1106, 6819, 7840, 585, 606, 4824, 1239, 2895, 1516, 563, 12552, 547, 519, 1489, 540, 32217, 296, 781, 2780, 8998, 267, 3744, 693, 32217, 296, 543, 27107, 9331, 1310, 1082, 1296, 540, 960, 941, 2111, 547, 1628, 513, 4264, 1344, 1062, 269, 623, 3198, 16598, 12788, 10378, 267, 607, 513, 8471, 1239, 5399, 267, 568, 849, 513, 8313, 1062, 543, 2636, 5610, 540, 1239, 538, 519, 3964, 1184, 540, 3621, 12326, 269, 4935, 623, 836, 2801, 320, 568, 606, 1344, 1062, 267, 799, 7512, 3744, 547, 11884, 21287, 741, 1239, 538, 606, 1930, 1569, 1604, 563, 7437, 513, 1134, 20452, 21107, 20104, 267, 519, 2895, 1882, 1239, 616, 1644, 547, 1022, 1344, 2838, 585, 922, 1620, 1373, 524, 3386, 543, 3015, 538, 12043, 1739, 3486, 4441, 269, 634, 5203, 1275, 540, 519, 1062, 2636, 519, 4859, 540, 1022, 9936, 689, 519, 5580, 5790, 1524, 883, 519, 2620, 3618, 12933, 267, 8720, 519, 2647, 2039, 540, 10459, 538, 2067, 9443, 269, 6987, 3555, 540, 1367, 29162, 689, 519, 11891, 568, 13087, 998, 513, 1239, 23999, 267, 799, 267, 607, 851, 540, 519, 623, 3198, 16598, 12788, 10378, 1062, 267, 2488, 519, 5943, 585, 6061, 1007, 3621, 2055, 1644, 547, 938, 3618, 563, 24687, 585, 3798, 6002, 281, 2659, 3346, 1268, 693, 519, 21238, 654, 1122, 10273, 4659, 568, 3220, 30567, 525, 23108, 2041, 630, 7483, 281, 1341, 5392, 476, 5325, 272, 476, 4366, 274, 272, 268, 14338, 271, 267, 4757, 281, 30567, 525, 14371, 549, 2041, 287, 25596, 19709, 1040, 2659, 3346, 1268, 538, 519, 1857, 1894, 8257, 568, 681, 2788, 10162, 1815, 615, 339, 630, 7483, 281, 1341, 5392, 270, 5325, 272, 270, 4366, 274, 272, 268, 12739, 271, 282, 4757, 281, 4757, 11333, 2593, 1916, 763, 21238, 654, 1122, 10273, 4659, 11438, 856, 1382, 538, 519, 11848, 543, 21303, 607, 1134, 607, 538, 519, 1164, 543, 4571, 20173, 12084, 269, 634, 20576, 10974, 4436, 8701, 1382, 543, 2306, 2139, 547, 3486, 2257, 1271, 5989, 267, 552, 3052, 269, 519, 1382, 4672, 3691, 6033, 834, 303, 6897, 560, 1716, 257, 543, 1382, 10473, 538, 519, 11848, 543, 21303, 269, 32217, 296, 568, 835, 540, 476, 1428, 1382, 18013, 1369, 519, 29581, 3128, 16379, 5025, 1087, 27937, 267, 5125, 781, 4102, 3621, 3919, 563, 763, 27107, 9331, 6663, 693, 19586, 1782, 519, 1909, 540, 519, 12084, 538, 519, 3047, 781, 1062, 676, 14139, 1533, 6361, 7308, 19603, 2409, 269, 898, 12116, 519, 4644, 540, 519, 12084, 1369, 519, 5943, 540, 2518, 1689, 267, 3067, 5809, 4205, 1063, 519, 7286, 2520, 14459, 543, 1979, 14459, 267, 543, 2488, 1344, 585, 513, 4264, 946, 540, 519, 5836, 563, 312, 10224, 26284, 543, 18536, 18703, 3094, 16101, 585, 519, 6602, 540, 1079, 2860, 8290, 454, 1691, 269, 6734, 269, 1001, 278, 1923, 3619, 9220, 268, 26536, 28059, 7671, 31060, 993, 6301, 454, 289, 11586, 293, 7616, 585, 3987, 1382, 593, 18558, 13863, 454, 5400, 269, 6349, 269, 1001, 278, 1923, 29581, 3128, 16379, 2098, 550, 5300, 28228, 333, 7770, 910, 1546, 7491, 2583, 674, 832, 577, 31258, 345, 550, 5300, 24166, 717, 525, 1495, 15241, 3768, 772, 332, 342, 3881, 454, 22349, 1258, 12002, 689, 12844, 333, 543, 570, 2246, 29118, 538, 774, 1005, 807, 630, 30051, 264, 1031, 519, 476, 1911, 2173, 5925, 16263, 693, 20306, 1564, 6199, 547, 7747, 1896, 14925, 13421, 269, 2311, 519, 8728, 540, 891, 1804, 7213, 2827, 540, 4158, 2339, 267, 24974, 1949, 630, 6549, 1314, 625, 1070, 3905, 3154, 267, 543, 9901, 5536, 267, 789, 1336, 6419, 4610, 602, 616, 24215, 10288, 936, 9883, 540, 1082, 2929, 1769, 1296, 269, 901, 2306, 873, 519, 1034, 6905, 6419, 4610, 538, 519, 7122, 1634, 865, 2484, 563, 763, 2164, 786, 581, 3370, 593, 4728, 476, 2420, 538, 519, 4760, 29770, 22349, 25348, 1299, 8330, 5268, 12695, 2108, 563, 29727, 25404, 13421, 616, 519, 4102, 28040, 2787, 958, 3808, 3889, 538, 519, 7122, 269, 2060, 513, 6093, 6708, 540, 827, 476, 1015, 2929, 1769, 1296, 267, 1775, 4318, 269, 476, 1911, 2053, 519, 2483, 12867, 693, 519, 3619, 9220, 2160, 7671, 31060, 267, 1927, 609, 4891, 689, 519, 2160, 540, 570, 6686, 6883, 523, 538, 5125, 543, 10348, 6307, 2160, 607, 1134, 607, 14731, 595, 4459, 4659, 689, 5507, 630, 20084, 264, 723, 2919, 513, 3209, 2029, 547, 21264, 519, 5728, 21866, 514, 3009, 563, 308, 321, 19891, 514, 568, 513, 1507, 3940, 602, 666, 581, 5532, 547, 824, 10408, 5946, 267, 7551, 9013, 543, 1110, 6819, 741, 3252, 269, 634, 13613, 4386, 538, 1082, 2483, 1103, 519, 18163, 3406, 585, 1985, 5108, 1164, 3887, 11797, 3859, 2281, 543, 27178, 267, 3744, 693, 11968, 1325, 32115, 2817, 12524, 543, 741, 4891, 616, 2870, 2483, 22068, 6625, 23282, 19298, 616, 6094, 267, 1079, 8820, 6106, 609, 11108, 1904, 29741, 3055, 3601, 1360, 2147, 547, 1346, 540, 22130, 269, 1325, 18464, 267, 519, 23282, 19298, 616, 1447, 7123, 269, 3767, 3173, 693, 519, 14502, 2160, 540, 22540, 630, 307, 9331, 264, 723, 267, 585, 519, 1101, 942, 2479, 267, 3812, 513, 12432, 1570, 9256, 13339, 23282, 19298, 543, 513, 12249, 602, 568, 1312, 11158, 15033, 543, 2653, 547, 1184, 269, 901, 6770, 519, 3744, 513, 1713, 1900, 6251, 547, 4853, 3156, 899, 8465, 10525, 543, 6337, 839, 832, 563, 22068, 6625, 23282, 19298, 616, 6094, 267, 1079, 8820, 6106, 609, 11108, 1904, 29741, 3055, 3601, 1360, 2147, 547, 1346, 540, 22130, 269, 1325, 18464, 267, 519, 23282, 19298, 616, 2483, 5319, 10192, 13789, 8335, 538, 513, 1449, 8546, 3379, 609, 519, 7636, 32727, 540, 513, 2713, 1591, 269, 6314, 1235, 689, 519, 2160, 540, 30239, 723, 1631, 1044, 2111, 547, 18082, 891, 16876, 2067, 2175, 538, 5841, 5738, 2873, 585, 519, 1101, 942, 269, 1306, 4080, 538, 519, 4081, 4760, 9540, 267, 519, 2164, 616, 5356, 1732, 5813, 883, 519, 1646, 540, 6289, 648, 716, 832, 543, 5841, 31759, 563, 5319, 10192, 13789, 8335, 538, 513, 1449, 8546, 3379, 609, 519, 7636, 32727, 540, 513, 2713, 1591, 269, 6314, 1235, 689, 519, 2160, 540, 30239, 723, 1631, 1044, 2111, 547, 2483, 736, 269, 6734, 269, 1001, 278, 1923, 7926, 5240, 454, 1691, 269, 6734, 269, 1001, 278, 1923, 7926, 5240, 454, 5881, 269, 6734, 269, 1001, 278, 1923, 7926, 5240, 454, 2537, 269, 6734, 269, 1001, 278, 1923, 5020, 7070, 454, 2537, 269, 6734, 269, 1001, 278, 1923, 5295, 543, 15379, 7177, 454, 2537, 269, 6734, 269, 1001, 278, 1923, 3047, 7070, 0, 2791, 616, 6117, 2059, 606, 14542, 4155, 267, 1210, 707, 9682, 12445, 547, 1265, 707, 1259, 269, 1809, 15931, 2029, 538, 707, 1286, 568, 849, 9477, 519, 8905, 267, 3168, 693, 519, 14099, 267, 543, 14232, 536, 1742, 543, 28963, 269, 898, 814, 1344, 593, 8009, 9420, 9634, 267, 546, 2354, 538, 519, 4155, 267, 543, 811, 269, 700, 9722, 883, 824, 538, 21307, 12616, 2792, 1949, 267, 621, 666, 1256, 5968, 609, 824, 6472, 538, 519, 25610, 563, 1607, 568, 519, 2104, 540, 538, 21307, 7851, 267, 2469, 1259, 3564, 8846, 543, 10024, 519, 7997, 540, 3742, 9651, 7020, 269, 898, 568, 835, 540, 519, 1883, 22204, 540, 519, 623, 3725, 309, 7728, 1788, 563, 303, 3725, 309, 7728, 568, 519, 4102, 4155, 3106, 1382, 11036, 2479, 9250, 538, 2342, 267, 609, 513, 6578, 540, 936, 24843, 2004, 2929, 543, 476, 6321, 4891, 269, 898, 814, 513, 3376, 267, 855, 3810, 14911, 10872, 540, 1382, 269, 589, 18797, 3785, 1445, 593, 1808, 4155, 3106, 2152, 267, 855, 782, 3785, 1489, 543, 3049, 883, 1142, 824, 538, 930, 1259, 269, 898, 1797, 519, 1764, 568, 3152, 982, 519, 2040, 540, 922, 2694, 543, 4891, 563, 31778, 306, 261, 4696, 3008, 568, 513, 1390, 1383, 267, 2324, 593, 1646, 267, 4152, 543, 15418, 540, 3106, 10276, 327, 2331, 3059, 7851, 267, 543, 519, 5137, 540, 513, 3044, 8818, 585, 606, 5084, 3008, 630, 28723, 30905, 26859, 3590, 264, 547, 5512, 15324, 3106, 3156, 563, 2005, 4992, 513, 5023, 995, 267, 855, 621, 568, 2731, 513, 1360, 17715, 1383, 540, 1210, 4540, 2200, 538, 1007, 2081, 547, 2333, 10342, 693, 1970, 3790, 269, 26243, 267, 519, 593, 4580, 2780, 18767, 519, 7851, 585, 519, 2048, 14588, 539, 9043, 685, 540, 519, 4155, 6619, 267, 519, 1318, 540, 1259, 543, 824, 1239, 563, 10527, 2079, 540, 1082, 3871, 666, 581, 13497, 4824, 676, 606, 4656, 540, 519, 4087, 2223, 3081, 4223, 628, 5362, 5576, 592, 2763, 267, 4717, 13541, 540, 519, 9167, 30845, 623, 3725, 309, 7728, 1788, 543, 18947, 15440, 585, 594, 4811, 1299, 7896, 693, 667, 2727, 2401, 17985, 269, 589, 2603, 540, 519, 1016, 3491, 915, 338, 3576, 5413, 540, 1142, 824, 779, 960, 267, 646, 6645, 23559, 11778, 269, 1280 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1634, 780, 1892, 2876, 9999, 2303, 602, 267, 4849, 585, 9770, 267, 519, 14778, 616, 5266, 21136, 269, 1717, 267, 519, 27008, 585, 9770, 5267, 602, 972, 616, 1079, 856, 11502, 538, 519, 1239, 269, 5637, 540, 891, 856, 11502, 616, 538, 700, 17427, 8014, 337, 333, 563, 1892, 5565, 856, 11502, 666, 849, 581, 4857, 689, 519, 5119, 540, 14649, 13602, 563, 1892, 31203, 540, 519, 1079, 856, 11502, 2164, 538, 513, 811, 21136, 3892, 585, 9770, 780, 763, 2164, 540, 631, 3198, 23701, 666, 581, 6213, 547, 519, 4527, 540, 856, 11502, 269, 2290, 1935, 547, 12570, 713, 1131, 581, 547, 5659, 519, 1239, 7466, 267, 2899, 609, 519, 856, 11502, 543, 2899, 1510, 873, 269, 634, 2164, 949, 1287, 581, 3379, 585, 11007, 269, 634, 1739, 9382, 946, 782, 540, 519, 1239, 267, 1519, 519, 1079, 856, 11502, 780, 10112, 18870, 476, 273, 281, 634, 1239, 689, 782, 2516, 723, 1455, 13065, 2275, 20654, 766, 5119, 4399, 306, 7950, 16859, 1607, 13429, 666, 581, 13761, 1210, 19258, 27451, 781, 1449, 585, 4630, 23189, 540, 13065, 2275, 20654, 766, 14290, 269, 1677, 3489, 19258, 27451, 781, 1449, 267, 1577, 4399, 306, 7950, 3709, 328, 4151, 20301, 519, 2551, 13065, 2275, 20654, 766, 5119, 585, 1895, 1775, 1547, 6333, 4152, 1384, 259, 295, 318, 271, 315, 3712, 517, 1422, 306, 7950, 318, 272, 815, 1422, 306, 7950, 318, 273, 815, 1422, 25854, 815, 1422, 306, 7950, 14682, 6911, 28785, 560, 692, 259, 295, 318, 271, 315, 3712, 517, 1422, 306, 7950, 10983, 1422, 928, 1422, 306, 7950, 19553, 259, 585, 693, 2547, 835, 1269, 328, 1422, 928, 795, 6911, 15152, 519, 4244, 8367, 267, 693, 2547, 1079, 540, 519, 13065, 2275, 20654, 766, 14290, 8428, 593, 693, 2547, 835, 540, 741, 2609, 269, 2913, 1384, 7445, 10400, 346, 306, 20731, 328, 815, 1422, 13320, 346, 272, 2410, 333, 10983, 268, 272, 4153, 8999, 315, 3916, 1080, 3709, 329, 284, 272, 8703, 333, 10983, 4153, 10400, 18950, 312, 3709, 6359, 32757, 8663, 26635, 13925, 328, 269, 348, 7565, 312, 3709, 6359, 32757, 8663, 26635, 13925, 328, 269, 16585, 262, 10592, 6577, 1774, 519, 3732, 13065, 2275, 20654, 766, 5119, 585, 1895, 1775, 1547, 30770, 519, 7535, 539, 13065, 2275, 20654, 766, 5119, 692, 7445, 10400, 346, 306, 20731, 335, 815, 1422, 13320, 3189, 8999, 3709, 328, 284, 272, 8703, 326, 12917, 333, 10983, 268, 272, 9385, 10400, 346, 306, 20731, 328, 7346, 8999, 3709, 328, 284, 272, 8703, 326, 12917, 333, 10983, 268, 272, 264, 13157, 1422, 13320, 3189, 10400, 346, 292, 12453, 301, 3766, 10592, 289, 691, 27451, 781, 1449, 568, 1759, 593, 519, 1739, 1449, 18802, 1384, 259, 299, 262, 815, 524, 13375, 315, 18950, 301, 3766, 9385, 8421, 1923, 315, 10400, 346, 306, 20731, 335, 347, 910, 1422, 8999, 3709, 328, 284, 272, 8703, 326, 12917, 333, 10983, 268, 272, 9385, 8421, 24689, 10400, 346, 306, 20731, 328, 24689, 2431, 315, 10592, 3602, 519, 15494, 3815, 568, 692, 259, 322, 815, 476, 272, 10559, 13320, 346, 273, 335, 317, 273, 266, 274, 335, 268, 272, 2410, 277, 9638, 266, 272, 7565, 326, 268, 272, 264, 4153, 3847, 315, 3189, 8999, 29192, 3916, 1080, 346, 328, 284, 272, 8703, 326, 4153, 13320, 346, 272, 2410, 333, 10983, 268, 272, 32757, 13320, 346, 272, 2410, 301, 3766, 4153, 2431, 315, 10592, 763, 4528, 540, 19258, 27451, 781, 1449, 2808, 538, 519, 3992, 540, 519, 1079, 1606, 2217, 12182, 2454, 781, 570, 30026, 568, 513, 2027, 2013, 1141, 575, 815, 476, 273, 269, 7201, 519, 14275, 8367, 540, 24267, 13065, 2275, 20654, 766, 14290, 267, 700, 262, 568, 5111, 16584, 30026, 7856, 609, 692, 7445, 13320, 346, 272, 2410, 273, 348, 335, 9638, 266, 272, 7565, 326, 268, 272, 22491, 19592, 4181, 540, 5191, 269, 1234, 915, 1269, 295, 318, 271, 259, 693, 1377, 4399, 10401, 259, 952, 692, 259, 299, 262, 3436, 1422, 14024, 317, 273, 18155, 2765, 346, 272, 2410, 273, 348, 335, 9638, 266, 272, 7565, 326, 268, 272, 1070, 315, 10401, 10592, 7078, 476, 279, 268, 273, 281, 8000, 6670, 4578, 692, 8794, 590, 3008, 692, 2080, 649, 786, 946, 519, 8000, 6670, 590, 3008, 1982, 780, 8698, 519, 3381, 7778, 540, 519, 590, 3008, 3009, 780, 8794, 3687, 527, 629, 692, 300, 8181, 629, 5773, 616, 711, 3254, 14384, 780, 4322, 666, 581, 17411, 1210, 5773, 2907, 1634, 780, 26046, 692, 2171, 1265, 1100, 19250, 1713, 2963, 1996, 519, 14275, 8367, 602, 519, 13065, 2275, 20654, 766, 14290, 616, 24267, 630, 299, 262, 815, 476, 2767, 269, 6812, 282, 546, 8807, 269, 815, 476, 3393, 282, 533, 815, 476, 271, 269, 7176, 6393, 24687, 692, 1892, 1403, 649, 941, 547, 7947, 519, 14275, 8367, 540, 4630, 23189, 540, 13065, 2275, 20654, 766, 14290, 267, 1287, 649, 1131, 9959, 602, 13429, 476, 273, 568, 26991, 563, 1892, 631, 3198, 23701, 568, 711, 7347, 547, 19374, 540, 519, 13429, 540, 24267, 13065, 2275, 20654, 766, 14290, 563, 1892, 1403, 519, 13065, 2275, 20654, 766, 14290, 616, 5462, 547, 581, 21376, 1287, 519, 3070, 568, 547, 1265, 513, 13065, 3613, 8494, 1944, 7004, 563, 1892, 8074, 602, 519, 10054, 540, 24267, 13065, 2275, 20654, 766, 14290, 543, 1617, 21725, 2343, 1275, 616, 1419, 26991, 1927, 563, 1892, 4475, 267, 513, 3339, 1944, 7004, 949, 849, 581, 513, 13065, 3613, 8494, 1944, 7004, 780, 1496, 272, 316, 13017, 7602, 354, 13201, 15484, 339, 760, 270, 16954, 1478, 570, 17344, 548, 762, 6250, 2225, 0, 290, 5995, 692, 7726, 476, 272, 454, 13706, 513, 2780, 1062, 609, 513, 31632, 268, 5417, 816, 762, 3119, 3965, 540, 2450, 476, 22446, 2421, 5052, 269, 27539, 519, 2780, 1062, 814, 513, 1463, 2173, 11474, 21461, 540, 2450, 476, 3953, 22995, 630, 272, 22995, 815, 476, 13975, 2421, 5052, 1070, 543, 1142, 21461, 3625, 568, 540, 2450, 476, 5038, 25466, 269, 634, 2450, 540, 519, 11090, 2361, 568, 30269, 11353, 563, 589, 476, 1704, 454, 9223, 476, 272, 19247, 1384, 11693, 602, 519, 1292, 3965, 568, 476, 273, 317, 3953, 25466, 269, 1924, 519, 2168, 2232, 568, 476, 3953, 11353, 1279, 780, 7712, 621, 568, 513, 1463, 25528, 21461, 519, 2168, 2232, 568, 5258, 883, 1109, 4610, 607, 630, 307, 8980, 267, 700, 12114, 267, 5508, 12396, 4953, 6393, 290, 5995, 2450, 568, 476, 3953, 30641, 815, 476, 273, 317, 1428, 1635, 5052, 780, 28343, 2450, 568, 476, 5038, 25466, 815, 476, 273, 317, 277, 25466, 267, 865, 5508, 12396, 4953, 2115, 476, 277, 11353, 780, 10831, 540, 7161, 538, 519, 21461, 815, 476, 273, 317, 1428, 2260, 273, 317, 277, 815, 476, 273, 317, 280, 267, 1924, 700, 12114, 1297, 2115, 476, 280, 11353, 780, 307, 8980, 11353, 815, 476, 3953, 910, 476, 280, 910, 476, 277, 815, 476, 1704, 11353, 780, 7726, 476, 273, 692, 288, 2780, 1062, 814, 513, 476, 275, 298, 2262, 21461, 6896, 538, 3625, 1606, 564, 12431, 1539, 894, 1109, 2006, 1676, 609, 476, 275, 7161, 829, 1305, 267, 476, 5038, 1913, 829, 3625, 269, 634, 1297, 540, 922, 538, 519, 590, 4953, 30548, 654, 16704, 4610, 540, 519, 1292, 3965, 2232, 3898, 568, 1384, 589, 476, 1428, 267, 476, 2412, 645, 476, 277, 267, 476, 275, 595, 476, 278, 267, 476, 273, 667, 476, 275, 267, 476, 277, 454, 9223, 476, 273, 19247, 912, 5591, 269, 540, 5036, 815, 476, 275, 298, 270, 630, 5038, 9943, 275, 264, 815, 476, 18891, 270, 476, 2764, 815, 476, 2190, 454, 3383, 649, 991, 476, 275, 1305, 11353, 563, 4517, 2676, 5038, 1913, 829, 3625, 1797, 654, 16704, 3787, 568, 476, 277, 1532, 1080, 563, 7726, 476, 274, 692, 288, 1463, 25528, 21461, 3965, 540, 476, 272, 15406, 814, 513, 3625, 476, 1125, 540, 476, 16348, 25466, 269, 634, 21461, 814, 606, 1569, 942, 540, 476, 274, 562, 338, 543, 513, 5734, 2557, 540, 476, 11463, 10065, 4438, 513, 21461, 4413, 267, 621, 3217, 476, 736, 562, 338, 547, 3142, 519, 1101, 2262, 540, 513, 3625, 689, 519, 1292, 3965, 267, 1247, 1142, 7766, 2262, 3217, 476, 276, 562, 338, 269, 634, 2262, 2450, 568, 476, 5038, 11353, 269, 634, 3328, 3965, 1569, 942, 538, 562, 338, 630, 1037, 1055, 547, 476, 272, 8918, 1747, 264, 568, 21718, 780, 589, 476, 1724, 269, 276, 454, 9223, 476, 274, 19247, 912, 290, 5995, 1569, 942, 815, 476, 274, 562, 338, 454, 295, 527, 5223, 540, 21461, 815, 476, 271, 269, 11463, 454, 17504, 2450, 568, 476, 5038, 11353, 815, 476, 279, 25466, 563, 290, 5995, 1899, 2450, 815, 476, 16348, 25466, 815, 476, 3953, 1913, 454, 14611, 3965, 1569, 942, 815, 476, 736, 985, 263, 5503, 585, 1101, 2262, 264, 1341, 476, 14028, 985, 263, 5503, 585, 6967, 476, 4029, 1913, 267, 476, 4029, 265, 276, 815, 476, 14028, 985, 264, 815, 476, 11260, 562, 338, 454, 30182, 1569, 942, 815, 554, 272, 265, 339, 272, 1341, 630, 272, 3620, 272, 7565, 339, 272, 266, 339, 273, 264, 815, 512, 272, 1341, 263, 272, 3620, 272, 264, 339, 273, 454, 22382, 476, 274, 1341, 630, 271, 269, 6187, 7565, 11260, 264, 815, 476, 1724, 269, 276, 562, 338, 454, 7726, 476, 275, 692, 288, 2780, 1062, 609, 513, 2262, 3259, 540, 476, 3953, 11353, 814, 513, 476, 1626, 15406, 31632, 268, 5417, 816, 762, 1292, 3965, 543, 513, 476, 5038, 22995, 267, 476, 275, 17574, 1305, 1997, 894, 21461, 3965, 609, 513, 3625, 2450, 540, 476, 16348, 25466, 269, 6333, 519, 1739, 2185, 2168, 9607, 6719, 538, 15279, 1228, 31565, 10035, 780, 319, 589, 272, 815, 476, 271, 343, 5655, 290, 279, 288, 275, 267, 476, 589, 273, 815, 476, 271, 343, 276, 5379, 31229, 267, 476, 589, 274, 815, 476, 271, 343, 277, 288, 29579, 290, 267, 476, 589, 275, 815, 476, 271, 343, 276, 292, 4366, 279, 271, 2387, 692, 7617, 835, 540, 519, 1739, 568, 13138, 16604, 2496, 589, 589, 272, 543, 589, 275, 616, 25528, 547, 1114, 21461, 5036, 269, 645, 589, 272, 543, 589, 274, 616, 25528, 547, 519, 1482, 21461, 1305, 269, 595, 589, 274, 543, 589, 275, 616, 25528, 547, 519, 1482, 21461, 1305, 269, 667, 589, 273, 543, 589, 274, 616, 25528, 547, 519, 1482, 21461, 1305, 563, 9223, 476, 275, 19247, 912, 14611, 3965, 568, 476, 1626, 11586, 538, 2450, 563, 763, 2262, 3259, 568, 2016, 607, 476, 3953, 11353, 543, 519, 2168, 9607, 5018, 616, 782, 2270, 476, 277, 15279, 1228, 31565, 9704, 267, 865, 519, 519, 2168, 2232, 568, 476, 3953, 11353, 1279, 563, 28343, 2450, 568, 476, 16348, 25466, 267, 3625, 15558, 815, 476, 279, 11353, 607, 621, 568, 513, 31632, 2232, 762, 3965, 563, 290, 5995, 2450, 815, 476, 5038, 30641, 454, 10831, 540, 7161, 538, 519, 21461, 815, 476, 5038, 30641, 270, 16348, 289, 815, 476, 16348, 454, 2005, 568, 513, 476, 275, 17574, 1305, 1997, 894, 21461, 267, 865, 1100, 269, 540, 5036, 538, 519, 21461, 815, 476, 16348, 270, 275, 815, 476, 5038, 815, 476, 2918, 454, 1103, 519, 2168, 2232, 649, 991, 476, 277, 11353, 585, 519, 590, 4953, 1297, 563, 307, 8980, 11353, 815, 476, 3953, 910, 476, 277, 910, 476, 279, 815, 476, 1240, 454, 3383, 519, 476, 3953, 11353, 2168, 2232, 568, 5258, 607, 630, 1240, 570, 8980, 11353, 1341, 476, 277, 590, 4953, 1297, 11353, 1341, 476, 279, 5508, 12396, 4953, 11353, 994, 7712, 538, 782, 519, 3681, 649, 616, 4280, 827, 590, 4953, 2338, 540, 519, 2016, 9607, 267, 649, 991, 547, 1265, 519, 590, 4953, 1297, 540, 1142, 540, 519, 9607, 563, 288, 272, 815, 476, 271, 343, 5655, 290, 279, 288, 275, 267, 1934, 590, 4953, 1297, 568, 630, 876, 476, 1911, 271, 264, 799, 2882, 519, 2063, 476, 273, 11353, 540, 595, 263, 8099, 271, 264, 543, 9352, 6041, 540, 476, 279, 630, 1911, 271, 1916, 288, 273, 815, 476, 271, 343, 276, 5379, 31229, 267, 1934, 590, 4953, 1297, 568, 630, 1015, 476, 1911, 271, 264, 799, 2882, 519, 2063, 476, 273, 11353, 540, 476, 277, 263, 18733, 271, 264, 543, 9352, 6041, 540, 476, 279, 630, 1911, 271, 1916, 288, 274, 815, 476, 271, 343, 277, 288, 29579, 290, 1934, 590, 4953, 1297, 568, 630, 1015, 476, 1911, 271, 264, 799, 2882, 519, 2063, 476, 273, 11353, 540, 476, 273, 263, 9826, 271, 264, 543, 9352, 6041, 540, 476, 279, 630, 1911, 271, 1916, 288, 275, 815, 476, 271, 343, 276, 292 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15410, 540, 10295, 543, 18624, 2665, 949, 581, 896, 331, 664, 676, 16220, 1759, 5778, 14545, 19260, 267, 543, 602, 9382, 540, 519, 3123, 540, 1981, 543, 8825, 2360, 689, 19010, 289, 272, 14726, 949, 1683, 1007, 4485, 547, 3797, 269, 0, 20082, 269, 27240, 1801, 538, 23639, 268, 1779, 531, 6541, 543, 8770, 8244, 941, 6594, 538, 476, 273, 590, 874, 1725, 636, 26730, 3990, 24435, 4133, 593, 519, 25878, 7969, 32595, 269, 28206, 2084, 9830, 540, 1034, 7777, 2609, 630, 25519, 273, 31956, 27002, 273, 31956, 631, 333, 273, 31956, 1325, 274, 266, 543, 13961, 275, 266, 264, 538, 31736, 1216, 8612, 513, 24482, 2539, 27614, 540, 7777, 27940, 559, 1216, 689, 519, 5594, 1295, 518, 582, 13116, 2175, 538, 519, 24435, 1633, 19114, 547, 522, 3387, 4088, 748, 2175, 538, 519, 3844, 851, 540, 519, 24435, 4133, 269, 901, 729, 17704, 1194, 676, 13302, 9830, 540, 11849, 267, 13557, 5860, 267, 6970, 267, 3171, 543, 267, 14356, 267, 631, 333, 538, 519, 24435, 269, 634, 8770, 13506, 267, 607, 3989, 676, 31736, 1216, 9830, 540, 715, 543, 623, 267, 729, 7361, 4830, 540, 519, 23639, 268, 30175, 6541, 13506, 281, 12971, 274, 268, 543, 18161, 6246, 268, 1185, 2147, 9830, 2429, 519, 13506, 267, 6466, 19760, 275, 266, 9830, 2799, 609, 2810, 31736, 21226, 9063, 269, 769, 4334, 267, 519, 24435, 8770, 13506, 14626, 3660, 609, 519, 23639, 268, 1779, 531, 6541, 13506, 267, 609, 2698, 9830, 540, 715, 543, 623, 13302, 689, 519, 14345, 547, 519, 8998, 269, 21563, 4451, 5052, 543, 15466, 2371, 1185, 1114, 6114, 2059, 519, 23639, 268, 1779, 531, 6541, 13506, 543, 519, 8770, 13506, 269, 21563, 4451, 974, 3892, 10630, 519, 23639, 268, 1779, 531, 6541, 13506, 1312, 538, 31736, 1216, 543, 538, 24435, 269, 966, 6018, 2030, 3892, 729, 5631, 6766, 676, 7648, 538, 8770, 8244, 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 ]
[ 17243, 538, 476, 1960, 273, 540, 519, 1101, 10785, 2479, 1336, 3544, 938, 3859, 1062, 267, 1631, 814, 4362, 609, 2836, 27700, 338, 5839, 773, 329, 23951, 871, 328, 519, 10545, 4541, 2943, 9571, 267, 514, 602, 1482, 2484, 268, 12537, 19236, 1062, 269, 8056, 619, 539, 538, 606, 6905, 6531, 540, 9357, 1242, 3154, 267, 519, 1007, 4541, 25057, 513, 6385, 18343, 23377, 5182, 1572, 513, 24421, 541, 269, 634, 6602, 267, 547, 581, 9307, 1282, 513, 2046, 10554, 693, 513, 5870, 7282, 19236, 5250, 543, 7020, 538, 1306, 5155, 267, 12548, 267, 593, 476, 278, 5988, 267, 11729, 606, 27314, 569, 2347, 6609, 540, 519, 24421, 541, 19236, 1062, 543, 25495, 602, 621, 568, 26526, 899, 513, 3368, 20695, 4528, 540, 938, 1378, 3859, 1062, 2443, 1256, 1498, 519, 5182, 891, 10785, 10739, 568, 3833, 1114, 689, 938, 6129, 563, 257, 8601, 519, 3665, 2175, 602, 1590, 723, 11478, 693, 519, 942, 891, 10785, 941, 8108, 267, 7186, 814, 7307, 547, 1711, 513, 19236, 1062, 602, 5654, 899, 513, 26987, 16365, 5299, 540, 938, 1378, 6418, 3859, 1062, 2437, 654, 11169, 345, 322, 345, 534, 5359, 269, 634, 5182, 693, 519, 4099, 540, 713, 1062, 568, 513, 24421, 541, 3957, 13662, 305, 645, 10219, 278, 266, 1321, 2443, 519, 5393, 10053, 543, 11741, 23377, 5182, 2451, 936, 689, 513, 7372, 5182, 602, 5747, 538, 513, 10795, 16411, 476, 272, 267, 4335, 1769, 1296, 2476, 538, 519, 26424, 5164, 2998, 563, 310, 11169, 345, 322, 345, 534, 543, 1010, 9164, 4505, 1185, 4362, 1614, 18714, 10785, 1472, 519, 24421, 541, 267, 609, 741, 25057, 538, 606, 3592, 3169, 8167, 547, 519, 838, 659, 902, 1063, 22358, 267, 19026, 267, 543, 3047, 269, 634, 9241, 4362, 8772, 4541, 814, 606, 10739, 5111, 3670, 2053, 3677, 982, 602, 540, 519, 3791, 4541, 538, 519, 1062, 267, 799, 23951, 871, 328, 3081, 568, 5863, 569, 2673, 547, 519, 3328, 3845, 689, 938, 6129, 547, 938, 3859, 1949, 20503, 12966, 267, 4092, 1063, 519, 25057, 540, 9370, 543, 18347, 563, 289, 16808, 4673, 918, 269, 17394, 1923, 31823, 2336, 14294, 881, 14688, 811, 7607, 538, 2475, 303, 22795, 454, 6187, 269, 1321, 269, 1001, 277, 1923, 29163, 268, 9743, 26623, 24166, 21558, 23855, 1731, 14889, 307, 454, 4537, 1901, 6927, 950, 1769, 10742, 11046, 454, 4962, 269, 1321, 269, 1001, 277, 1923, 10418, 585, 17747, 16370, 693, 519, 2817, 2160, 540, 14135, 454, 1103, 2487, 1296, 267, 22795, 609, 24318, 1662, 677, 20512, 630, 4785, 303, 264, 1524, 547, 519, 3185, 339, 846, 1718, 2039, 723, 1831, 3964, 593, 606, 4853, 4336, 269, 1358, 1223, 4434, 930, 3156, 609, 519, 1454, 2000, 7596, 539, 968, 322, 1245, 705, 3175, 892, 1107, 952, 602, 5921, 789, 1131, 1287, 3035, 811, 998, 1584, 269, 589, 1007, 5108, 540, 1184, 4702, 602, 786, 2232, 713, 3390, 538, 1880, 786, 581, 5941, 693, 519, 968, 275, 628, 5177, 303, 22544, 1107, 8299, 571, 9724, 21558, 5303, 892, 538, 4989, 476, 1001, 278, 563, 10214, 1394, 538, 519, 476, 1960, 271, 338, 267, 3744, 941, 9236, 2326, 4393, 609, 6289, 846, 1718, 267, 17552, 846, 1718, 543, 3185, 339, 657, 3150, 1718, 20512, 269, 634, 1267, 729, 9670, 281, 2483, 5970, 596, 2479, 9289, 875, 596, 1294, 519, 1158, 286, 17496, 568, 827, 22726, 540, 1769, 267, 799, 616, 21168, 540, 1648, 267, 15025, 609, 519, 8444, 610, 6675, 538, 1018, 2483, 288, 3818, 2987, 560, 6627, 1382, 5698, 814, 2813, 513, 3209, 1935, 585, 5958, 908, 1614, 8820, 2890, 19945, 9455, 998, 519, 3337, 20452, 5250, 540, 24338, 13339, 630, 4916, 328, 1070, 609, 3376, 5222, 538, 7471, 1904, 29741, 16361, 267, 9196, 267, 543, 22425, 923, 563, 22998, 609, 9164, 693, 18628, 543, 634, 22337, 11906, 7577, 267, 3173, 693, 519, 2160, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 29959, 476, 274, 5937, 536, 790, 325, 2590, 550, 2483, 1103, 6901, 609, 6419, 8444, 5342, 693, 5393, 1970, 5210, 267, 3744, 723, 7152, 513, 2189, 5123, 540, 2339, 281, 634, 8444, 1106, 513, 1007, 1826, 540, 7061, 5277, 610, 7061, 17366, 339, 1533, 269, 1452, 865, 1572, 7061, 20256, 949, 8190, 741, 1106, 538, 9000, 540, 5007, 30693, 1317, 540, 7061, 2360, 269, 634, 4745, 2319, 540, 8097, 21575, 689, 769, 985, 321, 30638, 543, 7811, 21575, 689, 30567, 1478, 1867, 593, 741, 4681, 538, 519, 4760, 8447, 5623, 2473, 563, 2108, 5978, 17747, 20256, 616, 538, 519, 3154, 5123, 855, 789, 1869, 6749, 899, 513, 4224, 2223, 6941, 8097, 21997, 25845, 8619, 12113, 331, 664, 334, 950, 6158, 827, 519, 2483, 763, 7665, 23851, 4659, 585, 8212, 630, 6573, 303, 264, 568, 6679, 909, 513, 1007, 1382, 2361, 269, 589, 13186, 689, 5437, 476, 2641, 910, 476, 2420, 267, 476, 1001, 277, 786, 1665, 519, 1376, 540, 2238, 585, 606, 5499, 4949, 542, 4603, 269, 16547, 687, 616, 1869, 1152, 17033, 19858, 5536, 269, 4256, 7020, 1223, 4194, 1079, 4909, 2042, 538, 9325, 6323, 281, 1548, 4158, 2339, 5161, 540, 543, 1946, 621, 814, 711, 2943, 1044, 2009, 547, 2047, 7747, 513, 8713, 18670, 585, 519, 2178, 5872, 563, 763, 968, 300, 4696, 7246, 311, 892, 1788, 568, 519, 12463, 303, 779, 7029, 547, 4949, 542, 1382, 269, 16547, 687, 616, 865, 2484, 1152, 513, 7811, 12605, 543, 616, 2352, 547, 3713, 281, 593, 519, 835, 1688, 31972, 1626, 269, 1556, 269, 1001, 277, 1923, 7926, 5240, 454, 4905, 269, 1556, 269, 1001, 277, 1923, 7926, 5240, 454, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 6187, 269, 1321, 269, 1001, 277, 1923, 10049, 7070, 454, 6187, 269, 1321, 269, 1001, 277, 1923, 6481, 7177, 454, 6187, 269, 1321, 269, 1001, 277, 1923, 5295, 543, 15379, 7177, 0, 1607, 12744, 2982, 3817, 476, 272, 1700, 273, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 563, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 24707, 9509, 11657, 454, 4462, 8971, 1540, 1257, 12744, 281, 5082, 1258, 5843, 2675, 2100, 590, 4932, 6970, 639, 894, 8665, 281, 29901, 14385, 1756, 21061, 21145, 281, 4551, 281, 8003, 2433, 29318, 269, 623, 17222, 636, 2433, 2920, 514, 27627, 269, 11352, 2433, 2920, 514, 3912, 322, 564, 2297, 4427, 4650, 281, 595, 800, 928, 321, 1461, 710, 2801, 7731, 2433, 29901, 27627, 576, 2801, 269, 2637, 639, 2433, 29901, 14385, 1756, 269, 15661, 2433, 21061, 8376, 281, 16515, 828, 17533, 267, 19505, 267, 6519, 12280, 267, 29283, 282, 631, 269, 645, 990, 529, 3361, 519, 2068, 538, 2831, 1101, 269, 2991, 519, 29143, 1709, 540, 2831, 630, 279, 267, 1822, 268, 275, 267, 1822, 645, 5861, 13776, 19505, 729, 4440, 10596, 547, 3425, 3842, 519, 4616, 540, 10800, 781, 5144, 269, 634, 2068, 2919, 538, 21475, 7232, 2202, 753, 945, 4440, 3262, 621, 998, 4955, 7992, 547, 654, 269, 2342, 543, 20195, 14901, 269, 1635, 476, 272, 267, 1822, 645, 5861, 1421, 519, 2068, 1185, 1044, 5645, 2429, 519, 3003, 1634, 1158, 269, 28871, 9715, 676, 11375, 2718, 519, 536, 26808, 269, 3412, 22861, 665, 20234, 668, 2213, 14747, 616, 811, 11630, 547, 570, 11065, 269, 543, 616, 9875, 547, 10826, 1210, 519, 1034, 1455, 2409, 269, 661, 3052, 269, 7606, 609, 15978, 949, 2760, 9156, 4628, 689, 570, 11065, 269, 5651, 874, 1108, 1299, 12896, 681, 311, 281, 4617, 569, 6121, 1341, 267, 1875, 2173, 582, 850, 267, 5418, 25806, 28795, 11425, 543, 606, 8078, 622, 7098, 12786, 269, 634, 22203, 1332, 7444, 630, 736, 5662, 610, 3476, 5108, 942, 1070, 3006, 1106, 2083, 14613, 543, 4043, 547, 1332, 538, 804, 7927, 269, 1358, 616, 28920, 11131, 609, 513, 1164, 20188, 1543, 269, 5662, 610, 3476, 5108, 942, 1070, 3006, 1106, 2083, 14613, 543, 4043, 547, 1332, 538, 804, 7927, 19601, 8698, 9509, 11657, 0, 289, 11035, 6844, 267, 590, 841, 528, 568, 519, 3803, 3209, 676, 1977, 5856, 670, 9007, 9253, 6807, 267, 1101, 454, 335, 21242, 3267, 18648, 16606, 543, 31495, 13133, 566, 540, 9253, 6807, 781, 4967, 2261, 1042, 454, 1492, 1101, 3370, 8747, 540, 4429, 299, 773, 23133, 13158, 743, 858, 324, 791, 19843, 835, 2443, 543, 1152, 835, 2443, 13743, 528, 267, 25381, 6844, 267, 945, 568, 454, 327, 7026, 547, 4196, 1010, 2197, 543, 3091, 1100, 1843, 687, 269, 1306, 646, 3762, 267, 646, 7125, 519, 4429, 22746, 513, 4137, 568, 519, 24732, 727, 590, 841, 528, 540, 454, 10472, 1650, 267, 6505, 31991, 25381, 6844, 267, 9907, 4429, 5804, 513, 2489, 5758, 547, 3184, 24096, 547, 3137, 540, 4583, 10530, 454, 267, 519, 27910, 24687, 25381, 6844, 267, 590, 841, 528, 5530, 6651, 814, 3388, 596, 991, 547, 513, 576, 4429, 289, 11035, 6844, 1353, 3391, 3568, 513, 12092, 540, 670, 9007, 9253, 6807, 267, 3332, 3594, 454, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 2407, 5758, 543, 2079, 563, 10403, 5758, 543, 2079, 540, 3848, 476, 272, 538, 670, 9007, 9253, 6807, 781, 25381, 6844, 602, 4465, 454, 1405, 1118, 596, 2879, 648, 269, 1284, 9153, 563, 10403, 5758, 543, 2079, 540, 519, 2621, 538, 670, 9007, 9253, 6807, 781, 25381, 6844, 602, 454, 342, 517, 1405, 1118, 596, 2879, 648, 269, 1284, 9153, 563, 28415, 5758, 540, 670, 9007, 9253, 6807, 781, 25381, 6844, 269, 552, 24687, 4729, 24096, 454, 16225, 782, 519, 1713, 2962, 540, 25381, 6844, 563, 4178, 269, 2532, 2593, 30819, 19834, 286, 336, 284, 5141, 858, 11872, 585, 25381, 6844, 261, 341, 284, 18444, 4962, 1177, 1485, 341, 308, 454, 11321, 476, 273, 267, 476, 1001, 271, 3267, 22994, 344, 16299, 910, 774, 1872, 11872, 12834, 543, 5811, 910, 30991, 281, 476, 275, 281, 2004, 269, 29216, 28755, 1188, 454, 18357, 267, 4649, 277, 5784, 269, 476, 275, 281, 2004, 269, 3883, 5623, 910, 670, 9007, 9253, 6807, 781, 25381, 6844, 4429, 5522, 582, 5758, 540, 25381, 6844, 676, 670, 9007, 9253, 6807, 269, 3487, 540, 513, 1863, 5530, 6651, 676, 0, 20082, 281, 12650, 1005, 21996, 2504, 814, 1044, 7771, 269, 24641, 267, 621, 991, 547, 2813, 676, 4999, 13830, 543, 2528, 21996, 267, 922, 2012, 4262, 8105, 269, 634, 6662, 540, 1353, 547, 1374, 2203, 540, 4262, 8105, 269, 634, 1267, 4951, 602, 2203, 540, 4262, 8105, 666, 948, 3375, 20536, 547, 1118, 9836, 543, 11455, 4640, 547, 1205, 10304, 563, 303, 523, 592, 529, 281, 3171, 4275, 14863, 328, 589, 4361, 267, 918, 611, 541, 9774, 1924, 1168, 31651, 267, 681, 758, 327, 2381, 667, 1695, 19441, 267, 5590, 807, 670, 14508, 267, 700, 4157, 344, 1520, 686, 27053, 454, 298, 1712, 808, 19012, 281, 795, 3899, 1731, 534, 663, 323, 271, 3445, 13199, 0, 20578, 518, 6796, 13378, 454, 7476, 10839, 1299, 1118, 32237, 454, 10932, 267, 7194, 267, 9978, 10803, 454, 339, 8962, 543, 2553, 1031, 538, 11050, 1382, 454, 16829, 11261, 281, 476, 274, 270, 2420, 270, 1001, 273, 476, 1015, 281, 6187, 281, 1015, 7537, 1923, 19715, 2433, 2136, 2276, 454, 16485, 606, 16869, 454, 10932, 267, 7194, 267, 12143, 6435, 267, 9105, 7726, 593, 3194, 267, 7194, 267, 5192, 8382, 267, 16869, 781, 6435, 267, 3194, 267, 7194, 9181, 687, 454, 2237, 4901, 593, 3194, 267, 7194, 454, 7312, 9708, 616, 15645, 730, 454, 2237, 707, 5048, 1934, 10756, 8794, 513, 642, 3317, 6516, 6218, 519, 5506, 267, 7726, 281, 630, 320, 264, 476, 1911, 967, 643, 2483, 9223, 281, 630, 320, 264, 476, 1911, 2043, 4294, 585, 1949, 25566, 7158, 609, 513, 1804, 6109, 1282, 519, 2250, 1032, 269, 476, 2412, 540, 873, 1185, 930, 1991, 960, 1995, 630, 310, 1070, 543, 476, 1789, 1185, 513, 1527, 525, 454, 7093, 28124, 5595, 4945, 538, 3239, 31728, 538, 1306, 335, 12991, 564, 267, 1215, 547, 2061, 5595, 804, 2483, 1692, 547, 2061, 5595, 4945, 538, 3239, 31728, 19601, 13434, 8816, 618, 1184, 1184, 4786, 267, 1548, 616, 519, 3268, 538, 513, 19684, 605, 806, 2483, 1432, 616, 519, 3268, 538, 513, 19684, 1184, 543, 945, 616, 3743, 585, 1142, 1900, 888, 30812, 819, 531, 5506, 267, 634, 772, 2529, 269, 4972, 540, 18815, 4080, 555, 320, 2483, 763, 772, 2529, 269, 4972, 540, 18815, 4080, 602, 1282, 5437, 267, 476, 10695, 269, 275, 260, 540, 25763, 5794, 6050, 685, 19426, 267, 476, 4037, 269, 272, 260, 540, 2475, 5794, 1811, 685, 19426, 267, 543, 476, 3583, 269, 272, 260, 540, 32591, 23325, 779, 19426, 8452, 593, 512, 454, 295, 539, 3101, 2073, 875 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1488, 2151, 3474, 629, 7637, 269, 1358, 2161, 602, 519, 454, 4186, 847, 568, 4502, 8096, 272, 267, 1822, 267, 1822, 543, 786, 581, 6976, 538, 476, 736, 3888, 906, 540, 8096, 2004, 267, 1822, 454, 704, 1032, 4358, 835, 1032, 689, 1631, 543, 609, 835, 1007, 3888, 618, 1142, 454, 20204, 585, 1985, 476, 736, 1296, 269, 634, 4579, 3568, 513, 16083, 602, 18715, 646, 454, 15884, 1205, 782, 540, 519, 2724, 1256, 952, 646, 568, 13676, 543, 3112, 1404, 513, 2582, 3014, 563, 306, 7964, 5830, 17551, 602, 1488, 2151, 814, 1831, 606, 968, 13318, 656, 2929, 18311, 3034, 323, 3326, 1513, 1318, 1631, 568, 1175, 607, 1434, 607, 454, 9217, 264, 6271, 1259, 547, 5173, 519, 1459, 1871, 540, 8096, 311, 513, 1032, 11014, 568, 547, 454, 31236, 454, 328, 454, 328, 284, 272, 2473, 14370, 272, 1341, 678, 264, 1547, 901, 3126, 568, 1634, 454, 553, 513, 454, 613, 6248, 454, 338, 7685, 269, 24269, 678, 1299, 25885, 282, 476, 271, 267, 713, 2040, 568, 1134, 632, 16667, 2740, 454, 5416, 264, 1488, 2151, 779, 7015, 267, 674, 523, 19213, 267, 945, 14734, 1819, 538, 9297, 267, 6941, 547, 454, 6635, 2151, 602, 646, 568, 711, 513, 2929, 18311, 269, 769, 1249, 267, 1010, 4579, 568, 4502, 1447, 982, 454, 327, 2788, 513, 2929, 9489, 269, 11512, 538, 1913, 1946, 713, 568, 865, 563, 311, 29265, 563, 763, 1459, 1871, 540, 8096, 2004, 267, 1822, 513, 1032, 585, 476, 736, 454, 27203, 264, 1403, 519, 1719, 2557, 568, 476, 1015, 9077, 519, 1459, 1871, 540, 8391, 8096, 272, 267, 1822, 835, 454, 20204, 689, 1631, 786, 581, 267, 547, 519, 14282, 13362, 2676, 15478, 3445, 280, 563, 1432, 786, 581, 519, 2344, 3902, 540, 606, 23505, 540, 454, 26170, 8096, 5379, 274, 563, 1633, 888, 311, 29265, 454, 263, 2419, 269, 476, 1556, 994, 5475, 476, 1015, 1296, 563, 24834, 10663, 519, 538, 16667, 333, 924, 3126, 454, 663, 568, 3160, 547, 454, 19798, 4953, 27107, 17395, 4811, 454, 6357, 264, 14597, 602, 519, 8285, 4054, 798, 711, 723, 547, 581, 4421, 1310, 476, 1015, 454, 344, 8986, 267, 855, 1223, 581, 4421, 538, 1022, 1032, 269, 4256, 1871, 952, 789, 616, 2759, 1354, 454, 16269, 616, 476, 1015, 1296, 2025, 568, 4642, 269, 2991, 519, 4054, 616, 476, 1015, 1296, 2025, 267, 606, 23505, 540, 454, 339, 4181, 568, 4502, 8096, 272, 267, 1822, 543, 922, 1871, 786, 2333, 676, 8096, 1911, 829, 1032, 585, 519, 454, 10113, 476, 736, 1296, 269, 2991, 519, 4054, 616, 2759, 267, 519, 2244, 593, 799, 519, 4054, 11542, 454, 4754, 2141, 581, 4421, 585, 8096, 1220, 606, 23505, 269, 1879, 1058, 519, 4054, 581, 2759, 547, 454, 10946, 4476, 519, 1459, 1871, 540, 519, 11033, 4607, 585, 4054, 543, 2244, 888, 763, 1459, 454, 344, 8986, 568, 1447, 982, 8096, 272, 267, 1822, 267, 1822, 267, 2094, 519, 454, 7407, 540, 8391, 8096, 272, 267, 1822, 513, 1032, 11014, 267, 786, 581, 267, 547, 519, 14282, 13362, 2676, 30005, 1871, 540, 513, 13362, 4607, 538, 519, 454, 15478, 1015, 267, 1822, 563, 325, 1956, 568, 1447, 982, 8096, 272, 563, 17347, 264, 1403, 519, 1719, 2557, 568, 476, 1015, 9077, 1018, 568, 519, 1459, 1871, 540, 606, 10697, 602, 454, 7528, 2231, 596, 547, 2628, 856, 8096, 20862, 835, 1032, 689, 1631, 543, 786, 2628, 596, 1394, 454, 6635, 2151, 779, 2852, 1576, 593, 968, 306, 7964, 5004, 892, 4769, 1406, 3382, 1459, 454, 11161, 269, 1924, 1010, 7015, 6836, 547, 2601, 856, 519, 9819, 585, 1864, 269, 3371, 454, 529, 875, 621, 4422, 912, 15478, 272, 267, 13975, 1079, 1296, 689, 1631, 888, 4335, 454, 6629, 20862, 14370, 272, 269, 272, 264, 1341, 476, 272, 267, 476, 13975, 14370, 272, 269, 272, 264, 273, 21591, 6357, 264, 14597, 602, 519, 1719, 2557, 568, 476, 1015, 260, 543, 568, 4397, 547, 2611, 693, 454, 1015, 260, 11014, 269, 1215, 1454, 1131, 621, 1942, 519, 2319, 547, 4444, 1488, 2151, 513, 10419, 8462, 454, 7474, 1131, 2628, 1864, 543, 1010, 646, 15077, 8096, 272, 829, 1032, 11014, 267, 4358, 538, 476, 272, 1032, 888, 323, 3326, 1513, 563, 15478, 1015, 563, 1556, 269, 272, 630, 271, 264, 1323, 1858, 540, 2244, 814, 1044, 12630, 609, 8285, 4054, 269, 2201, 454, 20103, 476, 272, 267, 4557, 1296, 689, 1631, 267, 519, 4054, 786, 581, 4712, 585, 7556, 269, 2311, 454, 7474, 942, 267, 519, 7555, 8285, 4054, 666, 581, 4421, 585, 8096, 272, 267, 1822, 829, 23505, 563, 763, 2244, 267, 1310, 519, 4054, 723, 1044, 6569, 267, 786, 581, 4502, 8096, 1220, 829, 23505, 563, 2467, 616, 1100, 9204, 610, 5665, 9276, 267, 855, 849, 1100, 8907, 689, 713, 454, 1633, 2394, 519, 4054, 616, 19122, 269, 634, 1719, 2557, 568, 476, 1015, 18336, 6262, 264, 1215, 1454, 1131, 621, 1942, 547, 4444, 513, 10419, 8462, 602, 6976, 8096, 2004, 267, 1822, 513, 1032, 454, 1150, 591, 267, 4358, 538, 835, 1032, 286, 8096, 4335, 267, 1822, 563, 1103, 519, 2063, 851, 267, 596, 1336, 519, 1459, 1871, 540, 1488, 2151, 779, 4579, 454, 604, 646, 941, 2469, 547, 1205, 8096, 2004, 267, 1822, 513, 1032, 11014, 269, 1809, 1488, 2151, 568, 711, 2469, 454, 1729, 1205, 8096, 2004, 267, 476, 1822, 513, 1032, 11014, 269, 634, 11033, 3247, 1310, 476, 736, 1296, 269, 634, 454, 30005, 1871, 540, 1488, 2151, 779, 4890, 4579, 568, 519, 1482, 607, 519, 1459, 1871, 454, 1993, 513, 4579, 602, 17188, 1864, 8096, 2004, 267, 1822, 513, 1032, 11014, 267, 855, 2306, 1864, 2628, 454, 3724, 8096, 2004, 267, 1822, 1142, 1032, 267, 11014, 267, 4358, 476, 2641, 1296, 689, 1631, 269, 4475, 454, 9767, 666, 19509, 526, 519, 1459, 1871, 540, 1488, 2151, 779, 4579, 676, 18946, 519, 454, 5416, 264, 1548, 666, 649, 2503, 519, 2344, 3902, 540, 519, 2244, 547, 581, 888, 15478, 272, 267, 476, 1220, 14370, 272, 269, 272, 264, 1015, 3980, 376, 8096, 5379, 274, 829, 23505, 563, 2793, 10933, 454, 14681, 454, 13923, 454, 30005, 1871, 540, 8096, 2004, 267, 1822, 513, 1032, 11014, 267, 4358, 476, 2641, 1296, 689, 1631, 689, 454, 1492, 1459, 1871, 540, 8096, 2004, 267, 1822, 513, 1032, 11014, 563, 19798, 4953, 27107, 17395, 4811, 454, 5560, 264, 1403, 519, 1719, 2557, 568, 543, 786, 2611, 693, 476, 1015, 9077, 513, 6908, 540, 11033, 454, 1993, 8096, 2004, 267, 1822, 513, 1032, 267, 4358, 476, 2641, 1296, 689, 1631, 814, 519, 1482, 1459, 1871, 454, 553, 513, 26686, 2040, 540, 8096, 454, 344, 8986, 689, 1631, 563, 4335, 267, 1822, 454, 263, 2419, 269, 476, 1556, 994, 6357, 264, 634, 1079, 20485, 723, 849, 16618, 519, 4542, 585, 519, 1459, 454, 7407, 540, 513, 6908, 540, 8096, 272, 829, 1032, 4358, 1985, 1032, 543, 11173, 585, 918, 454, 344, 8986, 269, 1358, 3858, 547, 1289, 713, 1297, 590, 263, 298, 264, 543, 789, 1294, 602, 454, 306, 263, 298, 264, 21591, 1729, 581, 4607, 782, 693, 2899, 267, 4010, 476, 736, 454, 272, 454, 272, 454, 272, 454, 266, 3267, 30492, 563, 32504, 263, 272, 1341, 678, 264, 630, 272, 1341, 678, 264, 273, 454, 263, 272, 1341, 678, 264, 298, 454, 23178, 19080, 711, 1182, 602, 952, 1142, 540, 519, 11033, 3357, 476, 272, 1032, 4505, 2676, 1492, 1459, 1871, 540, 519, 4611, 6908, 540, 11033, 1131, 581, 454, 16216, 264, 1403, 519, 1719, 2557, 568, 543, 786, 2611, 693, 476, 1015, 9077, 1018, 568, 519, 1459, 1871, 454, 272, 32504, 1993, 8096, 2004, 267, 1822, 829, 1032, 11014, 267, 4358, 476, 2641, 1296, 689, 1631, 286, 8096, 4037, 267, 1822, 563, 263, 295, 842, 281, 634, 1459, 1871, 540, 8096, 272, 547, 581, 6976, 538, 476, 736, 1296, 568, 476, 272, 14370, 272, 1341, 678, 264, 736, 815, 1547, 1428, 8094, 6600, 3738, 3767, 5173, 519, 1459, 1871, 540, 1488, 2151, 779, 4579, 563, 23178, 4165, 527, 4185, 2798, 856, 602, 3432, 532, 909, 1022, 6908, 540, 11033, 454, 2421, 513, 1032, 568, 849, 6697, 547, 14921, 922, 1459, 1871, 676, 630, 272, 1341, 678, 1916, 21607, 1154, 741, 1079, 7422, 1927, 267, 519, 1079, 20485, 8068, 606, 454, 3225, 566, 602, 1223, 581, 12193, 585, 590, 263, 298, 1040, 901, 3830, 568, 590, 263, 298, 264, 1341, 476, 272, 6567, 454, 279, 269, 2004, 1299, 9392, 3248, 2004, 267, 476, 1822, 815, 8096, 28883, 267, 476, 1822, 563, 1556, 269, 274, 630, 271, 264, 7905, 19080, 568, 7138, 1782, 936, 519, 4542, 585, 519, 1459, 454, 7407, 540, 513, 6908, 540, 11033, 540, 8096, 272, 513, 1032, 267, 4358, 476, 272, 1032, 689, 1631, 543, 454, 11666, 5224, 11014, 269, 1261, 6487, 602, 519, 1871, 540, 713, 6908, 568, 6829, 454, 2421, 519, 538, 16667, 333, 924, 3126, 454, 306, 23751, 272, 454, 272, 454, 272, 454, 32504, 266, 10371, 1421, 454, 32504, 272, 1341, 678, 630, 272, 1341, 678, 264, 273, 454, 263, 272, 1341, 678, 264, 274, 454, 8117, 646, 666, 1406, 3314, 519, 5187, 328, 16667, 539, 4542, 585, 713, 2040, 269, 2353, 646, 6487, 454, 529, 602, 952, 519, 19509, 337, 560, 8569, 941, 547, 12446, 2221, 267, 2864, 982, 513, 1032, 689, 454, 852, 267, 519, 1459, 1871, 540, 519, 2040, 1131, 581, 8096, 272, 2362, 269, 1924, 646, 6487, 602, 454, 306, 266, 272, 284, 272, 32504, 272, 454, 272, 454, 272, 454, 32504, 266, 3267, 563, 32504, 263, 272, 1341, 678, 264, 630, 272, 1341, 678, 264, 273, 454, 263, 272, 1341, 678, 264, 274, 454, 272, 454, 272, 454, 272, 454, 272, 454, 266, 3267, 30492, 284, 590, 263, 298, 264, 1341, 476, 272, 6567, 454, 563, 32504, 263, 272, 1341, 678, 264, 630, 272, 1341, 678, 264, 273, 454, 263, 272, 1341, 678, 264, 298, 6629, 272, 454, 263, 272, 1341, 678, 264, 298, 454, 272, 454, 263, 272, 266, 337, 264, 298, 454, 23751, 306, 263, 298, 7565, 272, 1341, 678, 1916, 7474, 519, 4542, 585, 590, 263, 298, 264, 568, 454, 15612, 639, 454, 306, 6295, 713, 3830, 585, 590, 263, 298, 1070, 789, 19509, 526, 454, 306, 263, 298, 264, 815, 630, 272, 6567, 454, 272, 454, 263, 272, 266, 337, 264, 298, 3738, 270, 337, 563, 1556, 269, 275, 630, 271, 264, 1411, 616, 519, 1870, 9614, 540, 623, 269, 645, 684, 12505, 5983, 7370, 267, 5549, 1421, 543, 454, 732, 3843, 547, 6430, 950, 596, 1058, 2759, 707, 4054, 269, 634, 2344, 1871, 540, 454, 1492, 29421, 602, 596, 786, 1205, 952, 596, 1577, 707, 4054, 3914, 519, 2085, 540, 512, 1296, 454, 273, 454, 529, 2016, 676, 519, 1599, 654, 630, 339, 264, 815, 552, 269, 736, 339, 6629, 269, 9826, 339, 1547, 6004, 269, 645, 684, 12505, 666, 7118, 606, 454, 15517, 2557, 540, 476, 276, 260, 829, 1032, 593, 2724, 538, 519, 4871, 563, 763, 2557, 540, 2208, 540, 519, 2344, 1871, 540, 519, 4054, 786, 581, 3152, 454, 22474, 476, 276, 260, 2394, 519, 4054, 3914, 454, 4037, 1296, 540, 2085, 269, 630, 295, 842, 281, 898, 5205, 454, 5228, 10026, 11810, 602, 952, 674, 630, 339, 264, 815, 19838, 6025, 264, 2073, 1287, 674, 630, 339, 8358, 293, 630, 339, 264, 815, 575, 630, 339, 1040, 994, 5416, 264, 1403, 646, 568, 1152, 5461, 538, 519, 4054, 607, 606, 5092, 267, 875, 2025, 1058, 454, 23178, 4165, 527, 4185, 647, 23807, 478, 619, 689, 513, 2147, 3965, 561, 8985, 269, 1261, 666, 1406, 454, 8145, 1897, 519, 4542, 585, 590, 2901, 269, 1809, 267, 646, 6487, 602, 519, 1459, 1871, 454, 1993, 8096, 272, 513, 1032, 11014, 267, 4358, 1318, 1631, 814, 547, 581, 476, 272, 1341, 678, 2053, 607, 1804, 607, 454, 1492, 1459, 1871, 540, 8096, 272, 513, 1032, 267, 4358, 513, 1032, 689, 1631, 269, 630, 1607, 568, 3020, 454, 20357, 952, 596, 4434, 1022, 4747, 6908, 676, 513, 1032, 267, 596, 9062, 922, 454, 30005, 1871, 676, 476, 272, 266, 337, 4700, 2334, 568, 2676, 272, 32504, 272, 454, 272, 454, 272, 454, 32504, 266, 1547, 1547, 1547, 815, 630, 272, 1341, 678, 264, 306, 563, 32504, 263, 272, 1341, 678, 264, 630, 272, 1341, 678, 264, 273, 454, 263, 272, 1341, 678, 264, 274, 454, 5416, 264, 1403, 7905, 19080, 543, 7905, 4165, 527, 4185, 2322, 741, 1702, 1927, 267, 789, 666, 2769, 513, 2241, 3830, 5473, 1152, 519, 4756, 590, 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 ]
[ 0, 27026, 540, 3744, 693, 18087, 684, 553, 2160, 540, 5303, 630, 298, 307, 308, 1040, 26403, 807, 723, 2813, 27500, 5068, 267, 799, 1232, 904, 538, 513, 11003, 10822, 538, 513, 7008, 540, 1296, 269, 4437, 31129, 2813, 693, 918, 307, 308, 568, 12001, 543, 782, 519, 2326, 538, 922, 5888, 616, 5078, 585, 3346, 609, 1426, 563, 10908, 984, 958, 267, 519, 2179, 540, 5068, 3812, 538, 513, 1032, 568, 10199, 519, 1482, 607, 519, 3003, 2597, 540, 8103, 269, 8307, 476, 280, 260, 540, 621, 568, 13381, 267, 543, 519, 1964, 568, 7444, 9714, 532, 538, 519, 26071, 269, 634, 5068, 30477, 1674, 1184, 3217, 689, 1896, 4627, 547, 513, 8536, 540, 1296, 282, 1282, 519, 942, 5068, 568, 30477, 7992, 883, 2890, 27415, 5536, 267, 799, 1205, 883, 519, 2666, 7297, 543, 689, 873, 1107, 883, 938, 1426, 543, 1604, 563, 2005, 568, 6059, 602, 676, 476, 13078, 271, 538, 938, 12084, 972, 786, 581, 811, 5068, 982, 3165, 563, 23219, 609, 5068, 3653, 568, 1851, 519, 14422, 540, 519, 1699, 5108, 269, 634, 3864, 12057, 814, 9516, 513, 1876, 7333, 940, 513, 2647, 24365, 540, 2582, 14025, 5068, 3688, 267, 971, 607, 2269, 9749, 267, 10412, 19512, 543, 2759, 331, 2044, 676, 476, 1708, 272, 267, 543, 3875, 9777, 725, 1472, 519, 1158, 616, 1373, 5293, 538, 1931, 547, 1852, 5068, 3653, 269, 12207, 616, 849, 2921, 851, 538, 519, 3350, 1247, 2870, 811, 13476, 7888, 3435, 563, 288, 2319, 540, 3173, 689, 519, 918, 307, 308, 20513, 540, 11906, 5303, 723, 2813, 513, 4628, 16327, 739, 762, 11183, 585, 1426, 2472, 689, 1979, 31129, 267, 799, 30477, 6233, 609, 519, 948, 540, 14471, 563, 14071, 616, 1031, 547, 1205, 32409, 267, 16152, 267, 2250, 1845, 267, 26265, 543, 1082, 824, 2472, 538, 513, 1957, 9126, 609, 513, 5068, 6885, 269, 2060, 513, 2312, 6885, 593, 519, 4395, 3068, 267, 519, 2472, 538, 519, 9126, 666, 581, 9763, 3362, 269, 4014, 1957, 568, 31127, 9714, 762, 267, 621, 568, 7294, 547, 5094, 1957, 689, 5068, 267, 543, 519, 10189, 568, 2808, 1875, 3146, 7094, 762, 543, 1875, 16327, 739, 762, 269, 1717, 267, 952, 649, 1500, 519, 6885, 689, 27500, 5068, 267, 621, 1223, 581, 11003, 539, 269, 5047, 267, 649, 1223, 1256, 946, 519, 9126, 585, 10655, 27500, 3653, 543, 2322, 782, 883, 519, 11003, 10822, 1927, 5608, 3081, 3220, 6754, 3780, 14529, 767, 553, 8355, 559, 990, 553, 267, 519, 1291, 11001, 540, 519, 2319, 563, 4467, 14006, 1464, 568, 513, 8984, 540, 513, 1587, 602, 2636, 621, 547, 7686, 1122, 8565, 896, 1808, 2175, 896, 519, 3310, 540, 14471, 563, 29467, 616, 7899, 540, 14471, 538, 11003, 543, 789, 7558, 938, 5068, 1360, 1134, 5608, 3081, 3220, 8355, 559, 990, 553, 563, 6097, 547, 9167, 4441, 267, 538, 4853, 11003, 18013, 267, 799, 2844, 519, 2837, 540, 476, 276, 3199, 290, 267, 1979, 31129, 9714, 525, 538, 3368, 513, 1032, 269, 1717, 267, 538, 513, 11003, 10822, 693, 1753, 267, 519, 1184, 1131, 1491, 513, 7008, 540, 1296, 563, 18693, 31129, 2813, 693, 918, 307, 308, 20682, 568, 1500, 689, 27794, 1107, 513, 2067, 1570, 267, 519, 1292, 2679, 3625, 540, 2030, 2281, 685, 17011, 269, 15394, 6508, 689, 16025, 267, 27794, 568, 519, 1034, 1455, 18465, 8432, 1067, 1336, 538, 2470, 563, 6097, 547, 3173, 267, 519, 1292, 4161, 1247, 2870, 1979, 31129, 568, 711, 1152, 547, 1118, 621, 9714, 762, 855, 849, 12001, 267, 607, 713, 2298, 568, 1419, 2838, 676, 5561, 563, 2108, 29995, 267, 547, 1831, 5714, 5068, 2115, 547, 581, 12699, 269, 1717, 267, 952, 596, 3002, 1957, 630, 6518, 568, 849, 1759, 593, 27794, 264, 621, 786, 711, 1152, 711, 1831, 5277, 267, 855, 786, 849, 6633, 256, 1284, 616, 9599, 547, 723, 1336, 29322, 267, 799, 711, 1152, 1450, 27794, 547, 2490, 883, 5714, 2783, 855, 849, 616, 1875, 3562, 13877, 267, 799, 568, 1360, 1271, 538, 782, 2472, 1644, 547, 1426, 7829, 5608, 3081, 3220, 8355, 559, 990, 553, 563, 3891, 8098, 1080, 602, 1373, 13476, 7888, 814, 922, 1942, 1107, 519, 27500, 10189, 2813, 693, 918, 307, 308, 568, 1896, 2053, 811, 7199, 982, 8912, 269, 1717, 267, 519, 3395, 1297, 540, 10357, 23655, 3755, 568, 8716, 6080, 547, 1491, 606, 1719, 538, 27500, 11183, 8925, 563, 763, 26257, 593, 281, 4437, 31129, 454, 16129, 5616, 5240, 454, 763, 26257, 593, 281, 4437, 31129, 454, 268, 4437, 31129, 10369, 476, 1708, 271, 910, 31327, 6206, 24812, 616, 16286, 1975, 288, 267, 1488, 651, 2742, 14408, 267, 32577, 293, 10323, 267, 4437, 1774, 322, 32390, 6652, 651, 332, 269, 517, 4873, 476, 866, 267, 476, 1708, 271, 693, 476, 276, 281, 6349, 993, 454, 21801, 476, 866, 267, 476, 1708, 271, 630, 7374, 301, 1715, 1873, 790, 3842, 1290, 23753, 264, 4534, 634, 2518, 4437, 31129, 10369, 1867, 3947, 513, 26409, 676, 1826, 267, 3498, 543, 3148, 1369, 519, 9472, 1974, 689, 476, 1708, 271, 268, 1708, 277, 269, 634, 1883, 1382, 4429, 268, 4437, 31129, 7956, 3796, 10369, 476, 1708, 271, 9523, 267, 12752, 31326, 267, 1635, 7698, 267, 11905, 267, 13335, 267, 12025, 267, 12618, 267, 5983, 4751, 543, 13636, 5811, 547, 476, 1708, 277, 517, 4873, 476, 1704, 267, 476, 1708, 271, 693, 476, 280, 281, 2004, 10681, 454, 21801, 476, 1240, 267, 476, 1708, 271, 630, 7374, 301, 1715, 1873, 790, 3842, 1290, 23753, 264, 4534, 4437, 31129, 7956, 3796, 10369, 609, 5046, 268, 866, 1764, 2079, 2488, 27357, 1344, 827, 519, 2344, 2450, 267, 2671, 267, 543, 2104, 3466, 269, 634, 16367, 4429, 268, 16217, 329, 24322, 4191, 7720, 308, 609, 10370, 326, 657, 585, 1071, 23923, 532, 1979, 31129, 2472, 517, 4873, 476, 1704, 267, 476, 1708, 271, 693, 476, 275, 281, 6187, 993, 454, 9188, 793, 4336, 5346, 543, 786, 2417, 11753, 561, 12519, 3679, 607, 513, 2707, 1570, 538, 547, 1818, 4437, 31129, 267, 1572, 607, 2717, 2643, 12519, 18729, 630, 303, 6369, 1040, 24637, 585, 623, 6369, 3679, 568, 9625, 476, 1220, 267, 476, 1822, 9748, 270, 20204, 267, 799, 568, 4397, 4429, 268, 16217, 329, 24322, 4191, 7720, 308, 609, 10370, 326, 657, 585, 1071, 23923, 532, 1979, 31129, 2472, 517, 4873, 476, 1626, 267, 476, 1708, 271, 693, 476, 1556, 281, 4097, 10681, 454, 303, 571, 329, 814, 2907, 2919, 543, 3091, 9190, 18829, 2029, 547, 3132, 561, 12519, 3679, 543, 19654, 2472, 689, 24494, 3049, 18450, 269, 700, 12519, 3679, 568, 849, 1031, 538, 1426, 543, 16098, 267, 538, 4429, 268, 645, 6324, 523, 540, 5046, 268, 866, 2201, 519, 10369, 1299, 29407, 4643, 1923, 6820, 4437, 31129, 13268, 1645, 10369, 476, 1001, 280, 268, 1708, 274, 1923, 23207, 2422, 540, 4437, 31129, 13268, 1645, 547, 30205, 12618, 1923, 3353, 822, 1470, 517, 4873, 476, 1626, 267, 476, 1708, 271, 693, 476, 272, 281, 3393, 10681, 454, 20007, 822, 1470, 814, 9307, 922, 5767, 2344, 1382, 1867, 11331, 6820, 4437, 31129, 13268, 1645, 10369, 476, 1001, 280, 268, 1708, 274, 630, 20877, 545, 281, 6355, 18514, 1040, 700, 31631, 2177, 734, 630, 29642, 654, 296, 3918, 3738, 734, 20007, 822, 1470, 814, 1044, 5464, 519, 4429, 268, 901, 10433, 3046, 3096, 31629, 10538, 890, 1564, 547, 476, 274, 291, 1820, 1979, 31129, 11680, 517, 4873, 476, 1428, 267, 476, 1708, 271, 693, 476, 276, 281, 876, 10681, 454, 300, 1662, 762, 568, 513, 2518, 267, 3818, 13807, 520, 845, 2923, 543, 9913, 2754, 269, 623, 10062, 676, 922, 1378, 28106, 2029, 267, 631, 1662, 762, 568, 519, 979, 3562, 2707, 585, 10509, 267, 3059, 2528, 543, 9913, 1543, 4429, 268, 1924, 5076, 541, 4437, 31129, 16370, 14351, 517, 4873, 476, 280, 267, 476, 1708, 271, 693, 476, 276, 281, 876, 10681, 454, 11514, 25068, 1923, 25642, 8889, 1923, 17214, 769, 12924, 290, 1923, 14351, 10530, 676, 1710, 534, 7999, 14492, 23184, 5442, 5937, 7968, 8025, 10396, 1924, 5076, 541, 4437, 31129, 16370, 5254, 8016, 298, 1924, 5076, 541, 4437, 31129, 16370, 5240, 300, 16800, 30365, 585, 1924, 5076, 541, 4429, 268, 634, 4053, 8291, 281, 1261, 343, 337, 781, 476, 274, 291, 268, 2745, 539, 24743, 267, 26910, 22766, 595, 10984, 545, 11854, 539, 10509, 543, 476, 278, 300, 21983, 781, 5767, 6539, 517, 4873, 476, 276, 267, 476, 1708, 271, 693, 476, 273, 281, 4375, 993, 454, 763, 5728, 2501, 538, 519, 1106, 540, 513, 476, 274, 291, 268, 2745, 539, 9932, 18474, 2497, 1500, 689, 12443, 29524, 476, 1556, 910, 513, 562, 14125, 2861, 1979, 31129, 269, 634, 1374, 2497, 16030, 15279, 21192, 2281, 568, 8810, 547, 3927, 8756, 4429, 268, 476, 276, 4264, 8925, 547, 15229, 517, 4873, 476, 274, 267, 476, 1708, 271, 693, 476, 276, 281, 876, 10681, 454, 288, 986, 1111, 540, 1007, 1979, 31129, 10124, 568, 4358, 547, 6952, 909, 267, 1498, 269, 1656, 267, 7429, 5667, 20980, 8093, 10173, 267, 789, 616, 6508, 689, 7791, 2959, 269, 2755, 1979, 6955, 10415, 723, 519, 1482, 7636, 4429, 268, 11906, 27822, 24439, 2422, 995, 8605, 689, 17904, 4437, 31129, 517, 2904, 476, 2918, 267, 476, 1708, 271, 693, 476, 276, 281, 7871, 993, 454, 288, 5488, 267, 811, 3608, 1259, 540, 9657, 2030, 2861, 834, 6798, 6955, 10415, 257, 814, 1044, 2919, 676, 513, 2319, 540, 3744, 693, 519, 29550, 540, 27257, 543, 24872, 269, 634, 2319, 814, 3254, 875, 741, 3114, 4429, 16129, 29078, 5240, 0, 22546, 540, 6915, 325, 23459, 9088, 593, 7693, 6454, 563, 4263, 1459, 942, 267, 3114, 18168, 616, 811, 538, 2259, 585, 7693, 2504, 267, 799, 8959, 547, 909, 18141, 3037, 543, 1604, 2298, 543, 4299, 519, 6940, 540, 519, 6694, 2504, 1062, 269, 17957, 267, 6915, 325, 23459, 9088, 616, 5117, 7874, 267, 835, 540, 519, 1655, 2413, 2645, 585, 6683, 267, 543, 616, 1031, 547, 2087, 3037, 12680, 543, 2298, 269, 12713, 325, 23459, 9088, 723, 1631, 7153, 607, 513, 3810, 14984, 4244, 547, 22803, 18168, 543, 2709, 606, 3235, 10999, 3280, 543, 17215, 10694, 8905, 585, 11160, 13586, 8770, 3761, 543, 2810, 7693, 2504, 269, 1452, 1331, 2661, 2281, 540, 3309, 25281, 540, 14471, 543, 723, 519, 1761, 547, 4368, 11626, 9436, 543, 1151, 889, 559, 1125, 543, 20834, 1125, 2030, 5567, 689, 1202, 20107, 1106, 998, 18117, 1670, 1184, 269, 898, 814, 849, 519, 1761, 547, 27298, 519, 7934, 1063, 8770, 3761, 998, 18168, 543, 8770, 8851, 676, 7031, 269, 9747, 267, 6915, 325, 23459, 9088, 666, 581, 513, 15164, 4781, 547, 519, 6705, 547, 2333, 7693, 7607, 543, 1058, 1265, 3152, 10343, 689, 519, 10137, 4600, 543, 5010, 6915, 325, 23459, 6500, 9755, 563, 268, 715, 4368, 619, 454, 268, 623, 11860, 20834, 9088, 454, 268, 6915, 325, 23459, 6500, 19862, 454, 268, 1699, 8441, 454, 27807, 325, 23459, 9088, 267, 811, 14013, 15451, 26912, 592, 1218, 267, 616, 519, 21339, 5627, 835, 610, 811, 2249, 540, 14471, 799, 723, 519, 2702, 547, 7001, 610, 20834, 1125, 6484, 958, 1271, 2030, 5567, 689, 1875, 268, 20608, 547, 26729, 1106, 998, 519, 6211, 3157, 971, 607, 715, 30651, 267, 623, 1151, 889, 16478, 267, 608, 17917, 540, 2030, 2208, 2573, 19188, 267, 610, 27794, 12159, 538, 3037, 267, 11003, 267, 543, 824, 5054, 1496, 272, 267, 476, 273, 267, 476, 274, 4940, 12713, 325, 23459, 9088, 616, 1970, 21057, 543, 1604, 7888, 7110, 547, 3114, 18168, 543, 812, 999, 269, 21298, 267, 6915, 325, 23459, 9088, 616, 11543, 11610, 1813, 547, 922, 2702, 547, 2226, 3037, 1072, 267, 7413, 2825, 12159, 267, 543, 2759, 1524, 519, 946, 540, 22803, 18168, 538, 6683, 269, 1452, 11378, 6591, 3773, 2956, 538, 4764, 325, 539, 6683, 538, 2070, 540, 741, 1970, 1942, 267, 607, 1507, 547, 8589, 6705, 2066, 519, 8608, 3112, 6488, 7199, 3114, 18168, 1547, 12713, 325, 23459, 9088, 1223, 581, 606, 4998, 3403, 585, 5969, 519, 1942, 540, 2504, 543, 585, 8026, 5214, 543, 5726, 8105, 1547, 1452, 7103, 666, 581, 7722, 538, 4509, 1279, 3856, 3037, 12680, 543, 6940, 1496, 277, 267, 476, 278, 4940, 1280, 519, 5481, 547, 2097, 267, 6915, 325, 23459, 9088, 616, 16832, 547, 2327, 2635, 11934, 543, 1426, 563, 763, 8561, 593, 3114, 18168, 267, 799, 3006, 3366, 547, 5667, 2615, 881, 543, 1875, 268, 9080, 5534, 3498, 267, 814, 5921, 602, 519, 3037, 581, 9833, 607, 606, 16931, 14041, 585, 2030, 5072, 267, 3079, 540, 513, 2713, 1979, 14459, 267, 519, 29127, 14459, 267, 5627, 513, 16221 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15052, 938, 4276, 1247, 1869, 11981, 938, 1378, 13395, 4690, 269, 1284, 1336, 1455, 2666, 538, 938, 2648, 585, 5026, 267, 3226, 681, 1872, 2421, 13477, 267, 543, 4956, 547, 7390, 513, 3171, 1430, 7723, 10162, 951, 6474, 1927, 693, 519, 31298, 12594, 853, 18123, 630, 528, 834, 763, 8262, 674, 7578, 781, 853, 18123, 2437, 607, 621, 729, 15754, 2299, 1634, 1287, 1040, 898, 8604, 899, 519, 3501, 4316, 547, 6125, 936, 1945, 649, 1312, 6068, 269, 9741, 1705, 649, 917, 267, 713, 1554, 1131, 3142, 827, 606, 6397, 2490, 540, 2621, 602, 9444, 540, 721, 1223, 7340, 20471, 4166, 780, 2171, 8452, 2038, 693, 519, 30806, 267, 23362, 9027, 908, 519, 13858, 5790, 543, 23274, 1851, 8284, 11655, 269, 1306, 15400, 18793, 540, 519, 2319, 267, 594, 1185, 2938, 1082, 2242, 547, 519, 28379, 936, 519, 5756, 269, 1809, 2094, 922, 1034, 2487, 22058, 725, 267, 1519, 519, 1840, 540, 1533, 6361, 7308, 19603, 6360, 7547, 543, 8242, 27939, 12417, 267, 11504, 13292, 5433, 1256, 811, 2027, 982, 1354, 780, 7069, 9393, 267, 945, 1185, 5063, 3323, 8384, 681, 1872, 2421, 13477, 267, 14952, 539, 693, 519, 2413, 1242, 2934, 269, 1261, 7948, 1405, 948, 855, 669, 22976, 950, 646, 4718, 519, 9649, 7333, 1676, 23217, 18071, 519, 8630, 781, 11450, 609, 519, 2199, 5779, 1587, 2754, 910, 8754, 519, 28215, 267, 1412, 763, 8262, 674, 7578, 781, 853, 18123, 9538, 2334, 4090, 20206, 4327, 3388, 2189, 543, 17175, 827, 938, 7550, 554, 32528, 282, 28031, 5652, 267, 13730, 267, 543, 796, 777, 860, 13443, 3294, 780, 5978, 10761, 6603, 8611, 12334, 1175, 1354, 14736, 4752, 269, 1717, 267, 1369, 3764, 267, 1919, 3576, 606, 6397, 2490, 269, 3733, 9393, 10393, 804, 583, 3481, 1010, 9221, 543, 25540, 5196, 519, 4737, 538, 4395, 540, 721, 269, 7754, 545, 1671, 4240, 1472, 803, 267, 855, 972, 7012, 1405, 1454, 942, 585, 3206, 269, 2382, 3307, 1947, 267, 594, 3459, 7900, 31214, 1107, 1945, 594, 4121, 1282, 1250, 1101, 5351, 1576, 1296, 3516, 855, 2760, 2219, 594, 9364, 946, 538, 971, 513, 1164, 25774, 9183, 780, 14188, 2685, 267, 2564, 10986, 16425, 15527, 543, 3576, 936, 1272, 22766, 3800, 269, 2991, 1018, 5433, 899, 3108, 267, 789, 7307, 547, 24644, 1864, 269, 18873, 2663, 7000, 602, 646, 4810, 513, 6727, 13487, 2680, 1813, 547, 606, 3768, 328, 30938, 2295, 2783, 269, 1403, 711, 585, 2656, 2962, 267, 519, 6364, 1522, 723, 1044, 13249, 780, 4407, 23232, 693, 519, 6413, 267, 1250, 9393, 6829, 14696, 2509, 3025, 3238, 267, 2523, 14344, 1250, 3646, 547, 4688, 1864, 269, 6736, 519, 31029, 10071, 267, 649, 4362, 513, 17105, 7071, 585, 1142, 824, 543, 938, 2729, 1927, 269, 901, 1995, 22541, 938, 2078, 3564, 2268, 780, 288, 1906, 3275, 2663, 267, 2899, 4628, 16626, 267, 649, 8120, 547, 519, 31298, 12594, 853, 18123, 267, 1688, 2987, 11804, 267, 609, 513, 4514, 2631, 540, 10362, 269, 4014, 7620, 11688, 26938, 267, 649, 7691, 602, 8508, 938, 18653, 3366, 721, 1524, 6397, 10092, 267, 6038, 8744, 721, 6251, 1927, 269, 4595, 1287, 267, 1169, 3643, 547, 519, 30806, 2968, 513, 11812, 540, 6043, 267, 9322, 267, 543, 2648, 1107, 4664, 24190, 609, 519, 6891, 540, 3171, 1430, 7723, 10162, 951, 543, 741, 13991, 13794, 780, 1607, 12558, 6026, 721, 3407, 4245, 827, 2921, 4220, 267, 10027, 5109, 8090, 267, 543, 5807, 4296, 998, 3838, 2833, 269, 6787, 596, 1265, 7772, 538, 24821, 2421, 610, 1022, 824, 1719, 267, 3314, 602, 891, 2238, 1921, 1004, 543, 1711, 9434, 8823, 267, 5935, 2950, 2059, 519, 1259, 269, 1924, 1934, 781, 547, 1750, 1359, 593, 707, 6887, 267, 18656, 3101, 538, 12348, 267, 543, 19825, 782, 1346, 2370, 3877, 602, 1118, 873, 5963, 9058, 256, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 22081, 814, 3171, 1430, 7723, 10162, 951, 262, 30806, 4957, 936, 519, 1296, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 1810, 1405, 723, 1699, 1344, 607, 10311, 689, 476, 1708, 272, 593, 1189, 269, 12846, 267, 594, 666, 4766, 606, 7650, 540, 875, 3171, 1430, 7723, 10162, 951, 262, 30806, 814, 4957, 936, 519, 1296, 1759, 593, 2139, 1239, 1384, 8722, 1430, 7723, 10162, 951, 262, 30806, 814, 22734, 1896, 18175, 10232, 936, 519, 1296, 547, 2743, 519, 2838, 4441, 540, 3318, 24821, 2421, 21597, 269, 769, 519, 476, 1001, 271, 338, 267, 519, 2666, 23384, 513, 10565, 7004, 267, 799, 3769, 519, 556, 31141, 540, 519, 1292, 1796, 267, 609, 606, 2333, 538, 27939, 4390, 267, 10380, 540, 1007, 6360, 7547, 267, 543, 513, 1007, 12334, 269, 634, 30806, 849, 4607, 1007, 19703, 11623, 267, 9746, 24756, 10833, 267, 543, 824, 6703, 780, 1103, 476, 1001, 273, 267, 3171, 1430, 7723, 10162, 951, 262, 30806, 729, 26948, 519, 31298, 12594, 853, 18123, 267, 1739, 513, 13384, 11208, 4308, 609, 31298, 12594, 269, 634, 2012, 7283, 2429, 519, 476, 1001, 271, 338, 267, 609, 519, 1753, 2666, 1373, 5219, 547, 607, 1412, 763, 8262, 674, 7578, 781, 853, 18123, 262, 1310, 513, 13384, 11208, 6876, 609, 519, 5779, 1587, 2754, 563, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 5629, 2390, 513, 942, 267, 972, 729, 513, 8049, 543, 2186, 1373, 3957, 7705, 945, 1185, 1175, 8452, 593, 513, 4190, 4541, 1572, 3047, 269, 7705, 729, 11235, 547, 1451, 827, 713, 1007, 1747, 543, 922, 11317, 267, 1634, 607, 3425, 269, 2311, 1101, 267, 3388, 729, 14542, 543, 14845, 267, 855, 4166, 7705, 3459, 547, 1174, 930, 9238, 780, 3080, 1554, 267, 1247, 11287, 3425, 267, 7705, 8068, 602, 789, 1419, 10272, 4025, 547, 4309, 948, 950, 4743, 796, 6202, 610, 7680, 9636, 269, 1452, 24284, 616, 1634, 607, 3782, 6703, 269, 769, 1931, 547, 1732, 10146, 875, 3425, 2170, 1369, 891, 5468, 267, 7705, 4956, 547, 1445, 593, 1620, 513, 1808, 3510, 5473, 1614, 2516, 540, 1004, 910, 1762, 10708, 267, 4587, 10708, 267, 543, 1762, 4079, 910, 782, 4299, 676, 513, 2783, 1572, 7486, 780, 8334, 4121, 602, 3782, 4648, 960, 2182, 547, 1683, 6527, 899, 1884, 790, 339, 22201, 12637, 3797, 630, 11286, 264, 547, 1346, 12936, 676, 7486, 865, 602, 789, 666, 1291, 2635, 2729, 269, 1717, 267, 1256, 1498, 3025, 11392, 2147, 5574, 267, 7705, 7691, 602, 3006, 4093, 9867, 3648, 1851, 2043, 1813, 547, 3604, 538, 2123, 2188, 543, 1141, 789, 4607, 2126, 269, 1677, 2263, 891, 27753, 2417, 267, 3173, 6594, 1239, 6394, 936, 1896, 1296, 689, 811, 982, 513, 4627, 3782, 6703, 12391, 585, 5215, 540, 2550, 9907, 1063, 4557, 543, 8938, 21144, 269, 1358, 5059, 593, 1079, 3119, 3853, 281, 6967, 538, 2564, 1416, 9846, 543, 8236, 10194, 21109, 998, 1697, 6646, 6165, 780, 2414, 9414, 1018, 1352, 9364, 4362, 267, 7705, 6045, 621, 1210, 9059, 15361, 607, 12746, 625, 2094, 1200, 1007, 3659, 10150, 971, 12644, 4505, 269, 2701, 3379, 12270, 519, 7422, 883, 4130, 2694, 1759, 593, 1585, 2188, 547, 19459, 10477, 10077, 1407, 4012, 1227, 269, 3807, 607, 4778, 6719, 1367, 543, 1072, 9744, 10305, 267, 13974, 267, 10077, 1407, 3090, 1242, 3344, 7133, 3461, 2164, 269, 1635, 6313, 875, 1454, 3310, 1142, 3815, 1185, 593, 2949, 6364, 13260, 267, 3173, 6322, 547, 1265, 1761, 6304, 2798, 602, 1131, 7413, 10616, 538, 1967, 3928, 1063, 1114, 2516, 780, 2690, 3236, 267, 4952, 952, 596, 4371, 2789, 11954, 11084, 8204, 3309, 2043, 269, 3962, 3440, 19299, 2189, 7907, 267, 1818, 873, 3982, 2943, 4448, 1317, 789, 4866, 547, 835, 540, 1614, 6688, 1107, 1507, 267, 5420, 267, 610, 1804, 269, 6684, 267, 3173, 9674, 519, 5171, 883, 1614, 2085, 23049, 269, 3973, 267, 789, 8947, 875, 1169, 7121, 6766, 519, 10171, 540, 8757, 5551, 1072, 3853, 269, 901, 1184, 4847, 3744, 547, 2697, 1898, 2609, 8506, 6454, 1312, 14350, 543, 15217, 780, 1103, 3932, 267, 4352, 1082, 1919, 7283, 12357, 827, 3047, 543, 922, 1950, 11317, 267, 7705, 1631, 9787, 539, 4909, 2035, 3823, 1480, 5872, 1369, 3782, 1949, 269, 3414, 6297, 8343, 543, 2079, 267, 3173, 1193, 1882, 2509, 5355, 9698, 538, 1416, 585, 782, 3425, 267, 7488, 540, 4282, 610, 6381, 269, 1656, 3976, 267, 938, 9661, 5713, 607, 513, 12576, 602, 7279, 543, 8990, 666, 12260, 9885, 3056, 547, 3152, 1620, 543, 6568, 10838, 721, 782, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 7072, 15240, 656, 658, 13103, 538, 1416, 4093, 2291, 1063, 1114, 1016, 25364, 540, 10708, 543, 31655, 2713, 609, 7486, 630, 17751, 299, 295, 4353, 1040, 4197, 8390, 538, 1367, 543, 1072, 9744, 4162, 1223, 581, 1883, 547, 7114, 9072, 585, 7459, 547, 2569, 891, 13103, 269, 1284, 1110, 8215, 8390, 538, 589, 312, 299, 295, 4353, 12802, 538, 1416, 543, 10194, 21109, 267, 543, 3067, 1881, 519, 6708, 547, 799, 1367, 543, 9744, 4162, 2272, 585, 4767, 7648, 563, 32325, 1284, 3769, 476, 14056, 271, 1762, 10708, 630, 1015, 1700, 1691, 1296, 1070, 476, 17168, 277, 4587, 10708, 630, 1428, 1700, 866, 1296, 264, 543, 476, 280, 1428, 272, 1762, 4079, 630, 736, 1700, 2190, 1296, 264, 945, 941, 15748, 593, 1884, 790, 339, 22201, 12637, 3797, 630, 11286, 264, 1063, 5130, 476, 1001, 276, 543, 5412, 476, 1001, 278, 2066, 476, 14862, 3782, 6703, 538, 13280, 269, 1280, 1142, 2085, 1895, 267, 649, 1031, 1617, 850, 767, 20592, 547, 15652, 4767, 8390, 540, 1292, 4093, 630, 4958, 1549, 538, 1416, 543, 10194, 21109, 693, 476, 1321, 3275, 1310, 26353, 22612, 264, 676, 1367, 630, 24038, 835, 264, 543, 1072, 9744, 630, 24038, 1079, 264, 4162, 269, 1284, 1031, 6231, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 27400, 8551, 1315, 4937, 1315, 18903, 543, 7629, 4288, 267, 547, 606, 9813, 3957, 7705, 602, 1175, 15354, 593, 3618, 543, 814, 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, 606, 9813, 609, 1100, 1702, 827, 3618, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 1684, 711, 1289, 7705, 606, 9813, 269, 0, 5149, 476, 275, 281, 14730, 7395, 673, 30527, 538, 17104, 1299, 23272, 3626, 9710, 2928, 11470, 692, 1103, 713, 1770, 267, 649, 5490, 883, 519, 4241, 24848, 516, 540, 4158, 9589, 17779, 1369, 17104, 543, 21337, 16897, 3332, 269, 901, 5339, 1106, 10905, 2609, 540, 9059, 543, 4641, 267, 1419, 20747, 2590, 519, 3515, 1063, 519, 1079, 267, 4611, 538, 513, 2189, 543, 20807, 5944, 4190, 2542, 1995, 269, 1284, 786, 2263, 1585, 3344, 540, 713, 9135, 267, 1519, 922, 8129, 267, 1883, 4162, 267, 543, 8037, 1568, 269, 5047, 267, 649, 786, 4983, 875, 713, 9135, 12969, 338, 609, 6626, 2686, 267, 3140, 267, 543, 2797, 8658, 269, 3414, 2673, 13220, 267, 2565, 9382, 267, 543, 5717, 267, 596, 786, 2744, 513, 4514, 7071, 585, 519, 10848, 543, 16082, 7915, 538, 891, 6386, 780, 296, 269, 17959, 543, 4886, 540, 14730, 7395, 673, 30527, 692, 288, 269, 8466, 12745, 454, 300, 698, 673, 17779, 814, 1279, 1044, 513, 20013, 540, 5824, 1977, 3332, 267, 12082, 538, 6805, 4978, 267, 7810, 2833, 267, 543, 2022, 24645, 31886, 269, 1717, 267, 621, 729, 711, 2394, 519, 4571, 268, 736, 628, 2540, 602, 713, 9135, 6591, 3486, 6284, 998, 14262, 1568, 971, 607, 28792, 25661, 807, 3057, 4302, 345, 781, 2290, 25569, 13012, 540, 3752, 3363, 543, 1772, 8475, 2353, 29868, 781, 5600, 540, 9454, 1080, 269, 769, 2487, 5756, 267, 2705, 267, 1082, 5830, 723, 29689, 713, 9135, 609, 513, 18632, 6316, 267, 2870, 2984, 28093, 4240, 609, 1312, 9810, 543, 4898, 780, 289, 269, 20223, 14730, 7395, 673, 30527, 454, 4263, 922, 4295, 267, 4158, 9589, 17779, 16621, 16750, 20825, 543, 28531, 2609, 1369, 27217, 5468 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21683, 3418, 1038, 952, 4737, 2652, 1412, 18958, 311, 262, 6769, 2018, 2132, 1412, 311, 262, 1477, 1038, 952, 4737, 2652, 1412, 302, 302, 302, 262, 6769, 2018, 2132, 1412, 302, 262, 5897, 825, 585, 524, 322, 538, 2039, 263, 271, 267, 274, 8029, 1038, 897, 815, 1205, 22674, 4379, 29033, 267, 764, 3418, 1038, 952, 897, 2652, 1412, 18958, 311, 262, 6769, 2018, 2132, 1412, 311, 262, 1477, 1038, 952, 897, 2652, 1412, 302, 302, 302, 262, 6769, 2018, 2132, 1412, 302, 262, 5897, 825, 4511, 815, 4604, 314, 271, 6012, 271, 316, 1341, 4604, 314, 272, 6012, 272, 316, 1341, 4604, 314, 273, 6012, 273, 15947, 825, 952, 4511, 2652, 1412, 18958, 311, 262, 6769, 1038, 2132, 1412, 311, 262, 1477, 825, 952, 4511, 2652, 1412, 302, 302, 302, 262, 6769, 1038, 2132, 1412, 302, 262, 5897, 825, 4511, 815, 4604, 314, 273, 6012, 271, 316, 1341, 4604, 314, 272, 6012, 272, 316, 1341, 4604, 314, 271, 6012, 273, 15947, 825, 952, 4511, 2652, 1412, 18958, 311, 262, 6769, 1038, 2132, 1412, 311, 262, 1477, 825, 952, 4511, 2652, 1412, 302, 302, 302, 262, 6769, 1038, 2132, 1412, 302, 262, 1477, 24541, 825, 2132, 7183, 5897, 3698, 1491, 4671, 1248, 263, 7773, 267, 4580, 267, 15367, 8029, 825, 1948, 5192, 8844, 1477, 825, 533, 815, 3094, 10947, 300, 1787, 14052, 825, 897, 815, 703, 9638, 10947, 311, 3890, 12262, 476, 1015, 3418, 825, 4737, 815, 703, 9638, 10947, 312, 3890, 12262, 476, 1015, 3418, 825, 7956, 263, 11592, 263, 3712, 265, 1015, 1341, 476, 276, 267, 4737, 265, 1015, 1341, 476, 276, 1070, 15367, 1040, 9526, 263, 7773, 3418, 825, 4604, 314, 992, 6012, 3712, 316, 815, 945, 5897, 3698, 1397, 318, 7773, 1676, 263, 15367, 267, 7773, 8029, 825, 3977, 815, 834, 32156, 834, 1341, 945, 1341, 834, 814, 4465, 713, 3014, 10590, 1477, 825, 3977, 3667, 815, 7956, 263, 11592, 263, 1428, 267, 4343, 1070, 16059, 3418, 825, 3977, 3667, 6155, 3863, 263, 7773, 3418, 825, 942, 4732, 2748, 263, 276, 3418, 825, 2132, 5897, 3698, 14827, 14682, 877, 31107, 267, 12528, 4289, 8029, 825, 4159, 815, 834, 29177, 825, 3094, 815, 8641, 310, 514, 2891, 307, 545, 6874, 659, 268, 2414, 324, 2580, 4968, 267, 4968, 3418, 825, 3094, 15630, 10870, 3581, 263, 271, 267, 271, 267, 1911, 267, 1911, 3418, 825, 1820, 263, 12528, 4289, 314, 4486, 6012, 271, 29573, 825, 1820, 263, 12528, 4289, 314, 4486, 6012, 272, 29573, 825, 1820, 263, 12528, 4289, 314, 4486, 6012, 273, 29573, 825, 1820, 263, 12528, 4289, 3418, 825, 4159, 815, 1193, 263, 12528, 4289, 314, 4486, 6012, 271, 8079, 1341, 834, 814, 513, 1164, 6060, 540, 834, 1341, 1193, 263, 12528, 4289, 314, 4486, 6012, 273, 29573, 825, 7956, 263, 11592, 263, 2004, 267, 2568, 1070, 5891, 1040, 9526, 263, 7773, 10142, 825, 25351, 4120, 263, 11592, 263, 1428, 267, 1839, 1070, 11592, 263, 3393, 267, 3374, 26895, 9526, 263, 7773, 3418, 825, 7956, 263, 11592, 263, 1789, 267, 1789, 1070, 257, 25440, 1586, 20257, 9526, 263, 7773, 3418, 825, 25351, 4120, 263, 11592, 263, 2568, 267, 1839, 1070, 11592, 263, 3199, 267, 3374, 26895, 9526, 263, 7773, 3418, 825, 7956, 263, 11592, 263, 3583, 267, 1789, 1070, 257, 304, 3726, 20257, 9526, 263, 7773, 3418, 825, 4945, 815, 8771, 1477, 825, 1247, 4945, 2652, 8771, 6769, 1038, 27976, 815, 3094, 10947, 300, 1787, 14052, 1038, 952, 27976, 10947, 311, 3890, 3436, 476, 1428, 543, 27976, 10947, 311, 3890, 2999, 476, 3393, 543, 27976, 10947, 312, 3890, 3436, 476, 1839, 543, 27976, 10947, 312, 3890, 2999, 476, 3374, 6769, 2018, 3094, 25379, 14052, 2018, 2132, 8771, 1477, 1038, 952, 27976, 10947, 311, 3890, 3436, 476, 2568, 543, 27976, 10947, 311, 3890, 2999, 476, 3199, 543, 27976, 10947, 312, 3890, 3436, 476, 1839, 543, 27976, 10947, 312, 3890, 2999, 476, 3374, 6769, 2018, 3094, 25379, 14052, 2018, 2132, 6936, 5897, 24541, 3698, 1292, 28399, 825, 1655, 3667, 815, 834, 29177, 825, 2845, 815, 8771, 1477, 24541, 825, 1247, 2845, 2652, 8771, 281, 1948, 13038, 476, 274, 3014, 1305, 8520, 1477, 1038, 1883, 267, 12528, 4289, 815, 21189, 3890, 1948, 8298, 338, 538, 3593, 1477, 1038, 952, 1883, 2652, 910, 274, 6769, 2018, 2845, 815, 6936, 1477, 2018, 2736, 5897, 1038, 1535, 342, 1231, 815, 476, 271, 1477, 1038, 7640, 1231, 815, 476, 271, 1477, 1038, 585, 1775, 538, 2039, 263, 274, 8029, 2018, 3094, 267, 4580, 815, 1711, 318, 4580, 3890, 1948, 6282, 525, 3014, 4604, 1477, 2018, 1655, 3667, 815, 834, 5522, 11691, 1655, 540, 476, 274, 267, 596, 616, 593, 3014, 834, 1341, 1193, 9217, 266, 272, 3418, 2018, 7956, 263, 11592, 263, 1428, 267, 3374, 1070, 12895, 3667, 1040, 9526, 263, 7773, 3418, 17264, 1477, 2018, 585, 2490, 538, 2039, 263, 280, 8029, 3546, 952, 2490, 4939, 476, 273, 2652, 476, 271, 281, 1948, 4634, 9847, 2473, 1477, 7386, 945, 815, 1412, 311, 262, 1477, 3546, 3116, 6769, 7386, 945, 815, 1412, 302, 262, 5897, 3546, 1491, 4671, 1248, 263, 7773, 267, 4580, 267, 15367, 3418, 3546, 952, 2638, 318, 7773, 1676, 29033, 264, 11203, 7183, 6769, 7386, 1397, 318, 7773, 1676, 263, 15367, 267, 7773, 3418, 7386, 952, 945, 2652, 1412, 311, 262, 6769, 13376, 3593, 4289, 314, 4486, 6012, 273, 316, 815, 703, 263, 12528, 4289, 314, 4486, 6012, 273, 8079, 1341, 476, 272, 1477, 13376, 1535, 342, 1231, 815, 1535, 342, 1231, 1341, 476, 272, 1477, 7386, 3116, 6769, 4449, 1363, 1477, 13376, 7640, 1231, 815, 7640, 1231, 1341, 476, 272, 1477, 7386, 3094, 25379, 14052, 7386, 1948, 1401, 527, 519, 3014, 1477, 7386, 2736, 1477, 2018, 952, 1535, 342, 1231, 2652, 476, 273, 610, 7640, 1231, 2652, 476, 273, 281, 1948, 6744, 547, 1294, 952, 2901, 2427, 814, 4465, 1655, 540, 476, 274, 1477, 3546, 3094, 25379, 14052, 3546, 2736, 1477, 11434, 1477, 1038, 2845, 815, 14827, 14682, 877, 31107, 267, 12528, 4289, 3418, 17264, 1477, 1038, 2845, 719, 263, 12528, 4289, 264, 1948, 8421, 338, 856, 1699, 3593, 952, 1007, 1239, 568, 547, 581, 2854, 547, 3758, 1477, 17264, 1477, 10852, 14052, 0, 258, 1930, 3758, 547, 1224, 17408, 1115, 454, 258, 12803, 284, 13449, 2891, 6894, 27406, 14824, 337, 5602, 258, 12803, 284, 13449, 2891, 6894, 318, 273, 27406, 14824, 337, 5602, 12803, 284, 13449, 2891, 270, 24610, 270, 889, 31583, 270, 10112, 9892, 268, 273, 270, 6894, 27406, 14824, 337, 5602, 258, 1913, 547, 581, 18886, 454, 6919, 284, 14277, 2254, 2922, 14824, 338, 12522, 14824, 3147, 1211, 14824, 14075, 7996, 14824, 19763, 14824, 325, 7037, 14824, 338, 852, 7088, 14824, 16591, 1153, 14824, 16591, 3506, 14824, 21112, 3506, 14824, 21112, 1153, 20350, 11434, 834, 335, 3233, 3506, 14824, 335, 3233, 1153, 14824, 9404, 580, 7847, 14824, 9404, 580, 7949, 14824, 335, 3326, 1081, 14824, 24650, 14824, 321, 4926, 14824, 1706, 802, 14824, 335, 1046, 14824, 335, 1046, 532, 31116, 258, 4558, 519, 1913, 1336, 454, 11398, 17342, 6540, 258, 8237, 4737, 676, 862, 553, 543, 1265, 519, 1913, 454, 1721, 512, 11548, 538, 3758, 912, 825, 897, 284, 339, 11548, 21858, 2891, 2437, 994, 825, 585, 2262, 538, 1913, 912, 1038, 585, 1871, 538, 897, 912, 2018, 952, 2262, 538, 1871, 912, 3546, 1293, 284, 7407, 29644, 27182, 994, 3546, 585, 1775, 538, 2039, 6262, 870, 2187, 7386, 1336, 6910, 27182, 2020, 11907, 284, 4944, 1046, 4732, 335, 1046, 3519, 3667, 269, 1706, 5537, 1125, 6600, 895, 994, 258, 4786, 519, 1913, 602, 616, 1336, 454, 11907, 284, 11907, 6230, 777, 10857, 10033, 1535, 281, 263, 343, 267, 272, 4917, 258, 2569, 519, 2262, 1293, 454, 11907, 284, 11907, 18622, 706, 576, 3528, 7659, 10857, 10033, 1535, 11971, 281, 343, 20742, 994, 11907, 31815, 937, 4590, 258, 4558, 4908, 1293, 538, 3977, 6119, 454, 11907, 16691, 2297, 576, 263, 272, 1040, 338, 1511, 2026, 17806, 17572, 3488, 5320, 6958, 15968, 18045, 318, 272, 17902, 5073, 258, 11907, 16691, 2297, 576, 263, 272, 1040, 338, 1511, 2026, 17806, 17572, 3488, 5320, 6958, 15968, 18045, 318, 273, 17902, 17210, 0, 258, 2322, 707, 3009, 1934, 563, 3667, 815, 1930, 2891, 13512, 664, 17902, 5602, 3698, 1293, 29999, 29495, 2187, 825, 1913, 815, 2715, 10926, 825, 585, 1899, 538, 1257, 912, 1038, 1899, 14067, 686, 5529, 815, 1899, 25331, 29328, 4590, 1038, 1592, 29999, 815, 1899, 14067, 686, 5529, 21858, 2891, 19515, 1038, 1948, 2745, 27182, 994, 1038, 585, 2262, 538, 1592, 29999, 912, 2018, 1913, 314, 5320, 316, 815, 1913, 10947, 27182, 267, 476, 271, 264, 1341, 476, 272, 692, 825, 2132, 1913, 454, 3698, 1820, 29999, 18045, 27182, 5091, 5315, 2187, 825, 585, 2262, 267, 1293, 538, 2262, 5091, 5315, 29096, 10031, 1038, 1820, 6600, 262, 346, 5320, 348, 2715, 12248, 348, 17210, 2745, 29999, 18045, 6262, 870, 29999, 29495, 4297, 3097, 0, 258, 256, 595, 24097, 23911, 4029, 315, 7090, 7531, 3698, 1292, 10031, 825, 546, 815, 27835, 821, 9166, 476, 272, 267, 1412, 18314, 9166, 476, 273, 267, 1412, 22764, 9166, 476, 274, 267, 1412, 27917, 9166, 476, 275, 267, 1412, 325, 633, 9166, 476, 276, 8679, 825, 1820, 5560, 994, 825, 585, 737, 538, 15044, 5560, 269, 12399, 3890, 2187, 1038, 1820, 17347, 267, 546, 25208, 20285, 825, 524, 815, 9598, 18692, 1038, 835, 815, 476, 272, 267, 1079, 815, 476, 273, 267, 1614, 815, 476, 274, 267, 2185, 815, 476, 275, 267, 2947, 815, 834, 325, 633, 4840, 825, 12467, 825, 585, 737, 538, 15044, 6262, 269, 12399, 3890, 2187, 1038, 1820, 17347, 267, 524, 25208, 20285, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 0, 5814, 556, 267, 19523, 692, 258, 524, 1258, 16105, 834, 276, 476, 276, 476, 276, 476, 276, 476, 276, 5016, 258, 14644, 338, 642, 1513, 454, 258, 595, 3224, 629, 607, 9226, 1592, 454, 322, 1258, 815, 19523, 27769, 341, 314, 272, 2639, 20889, 290, 1258, 815, 524, 1258, 21858, 4590, 258, 595, 1258, 2990, 454, 6570, 291, 1112, 815, 2715, 272, 281, 257, 2381, 1393, 2580, 476, 273, 281, 257, 327, 712, 2580, 476, 274, 281, 257, 1485, 2580, 476, 275, 281, 257, 24629, 2580, 476, 276, 281, 257, 1485, 540, 519, 3018, 257, 8679, 258, 3933, 2195, 540, 519, 1032, 910, 11837, 454, 3000, 2195, 8170, 763, 17413, 815, 2715, 272, 281, 257, 20464, 2580, 476, 273, 281, 257, 21938, 2580, 476, 274, 281, 257, 18550, 2580, 476, 275, 281, 257, 19688, 2580, 476, 276, 281, 257, 9802, 2580, 476, 277, 281, 257, 18907, 2580, 476, 278, 281, 257, 20809, 2580, 476, 279, 281, 257, 20606, 2580, 476, 280, 281, 257, 20826, 2580, 476, 1015, 281, 257, 19751, 2580, 476, 1556, 281, 257, 21776, 2580, 476, 1321, 281, 257, 20103, 257, 8679, 258, 17963, 540, 519, 1032, 910, 11837, 454, 17058, 8170, 763, 25582, 815, 2715, 272, 281, 257, 31388, 2580, 476, 273, 281, 257, 307, 11698, 2580, 476, 274, 281, 257, 26607, 11888, 2580, 476, 275, 281, 257, 32637, 2580, 476, 276, 281, 257, 293, 27518, 2580, 476, 277, 281, 257, 306, 12944, 2580, 476, 278, 281, 257, 306, 1495, 599, 257, 7684, 454, 258, 15937, 1592, 649, 786, 1820, 856, 547, 519, 3593, 454, 16058, 5649, 762, 290, 1258, 815, 29129, 258, 16294, 519, 1599, 1031, 547, 1612, 572, 1142, 524, 1258, 4661, 692, 3698, 2638, 14737, 1393, 263, 2381, 1393, 2187, 825, 1295, 3725, 613, 343, 815, 834, 317, 314, 272, 268, 276, 316, 286, 314, 271, 268, 280, 316, 259, 4840, 825, 952, 556, 6230, 2255, 263, 2381, 3725, 613, 343, 267, 8792, 2187, 1038, 1820, 2891, 520, 8792, 834, 266, 2381, 1393, 994, 1038, 1480, 5649, 762, 290, 1258, 6910, 2891, 520, 8792, 834, 266, 2381, 1393, 994, 825, 3116, 912, 1038, 1820, 2891, 7312, 16105, 1281, 711, 6474, 519, 1295, 16105, 630, 9994, 539, 1871, 2433, 476, 271, 268, 6795, 264, 15419, 3698, 2638, 295, 712, 22607, 712, 2187, 825, 5662, 3725, 613, 343, 815, 834, 22677, 273, 314, 271, 268, 275, 316, 347, 272, 314, 271, 268, 280, 316, 347, 314, 272, 268, 280, 316, 7751, 4840, 825, 952, 556, 6230, 2255, 22607, 712, 3725, 613, 343, 267, 5662, 2187, 1038, 1820, 2891, 335, 770, 5662, 834, 266, 327, 712, 994, 1038, 1480, 5649, 762, 290, 1258, 6910, 2891, 335, 770, 5662, 834, 266, 327, 712, 994, 825, 3116, 912, 1038, 1820, 2891, 7312, 16105, 1281, 711, 6474, 519, 5662, 16105, 630, 9994, 539, 1871, 2433, 476, 271, 268, 2190, 264, 15419 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1883, 314, 271, 20285, 1038, 1948, 1325, 21246, 1470, 1714, 512, 4821, 25123, 1642, 24050, 1965, 28075, 783, 513, 966, 454, 1038, 1295, 3891, 777, 25915, 815, 966, 16963, 1038, 1948, 769, 1714, 8520, 267, 1295, 24050, 733, 1329, 324, 547, 323, 657, 17485, 12162, 657, 454, 1038, 1948, 6446, 513, 684, 1100, 694, 513, 10722, 23565, 620, 17364, 3529, 563, 1038, 1247, 1295, 3891, 777, 18994, 10387, 27679, 3890, 2652, 8771, 1384, 2018, 1948, 23448, 518, 1714, 9825, 823, 6446, 512, 1263, 320, 1714, 27089, 11792, 890, 4302, 25123, 632, 26240, 334, 454, 2018, 1007, 3891, 777, 11966, 815, 1295, 3891, 777, 269, 2169, 847, 14737, 4590, 2018, 579, 815, 1007, 3891, 777, 11966, 314, 271, 6540, 2018, 1948, 7638, 547, 323, 657, 17485, 14622, 11105, 525, 632, 579, 825, 454, 2018, 1948, 630, 3200, 1182, 3063, 573, 657, 264, 586, 4890, 714, 541, 1714, 454, 2018, 1948, 27089, 632, 3997, 1253, 534, 857, 553, 454, 2018, 585, 533, 290, 3863, 331, 538, 1582, 3052, 1429, 314, 340, 28660, 3546, 642, 815, 533, 290, 3863, 331, 314, 271, 6540, 3546, 1948, 13961, 3288, 1253, 4545, 807, 11792, 9729, 320, 513, 642, 1100, 694, 688, 3803, 714, 5964, 513, 684, 454, 3546, 1948, 586, 3288, 1253, 4545, 807, 513, 642, 11188, 579, 1965, 2367, 528, 6446, 3097, 3546, 1948, 3288, 2301, 3385, 7173, 328, 3512, 324, 454, 3546, 952, 1295, 3891, 777, 18994, 1103, 14737, 3891, 777, 17635, 264, 543, 533, 290, 3863, 331, 314, 272, 316, 2999, 1883, 314, 341, 14158, 7386, 1883, 314, 341, 316, 815, 533, 290, 3863, 331, 314, 272, 2639, 7386, 2385, 314, 341, 316, 815, 579, 692, 7386, 1948, 4890, 714, 541, 1714, 27089, 632, 3288, 1253, 4545, 807, 679, 1714, 24050, 512, 3711, 1329, 454, 7386, 1295, 3891, 777, 19709, 920, 848, 7659, 17635, 267, 1883, 314, 341, 20285, 1038, 1820, 6635, 337, 263, 8001, 267, 966, 9239, 258, 4530, 32115, 454, 23054, 815, 8641, 263, 280, 994, 23054, 14491, 10955, 613, 263, 271, 267, 476, 272, 267, 476, 272, 994, 23054, 14491, 10955, 613, 263, 271, 267, 476, 278, 267, 476, 279, 994, 23054, 14491, 10955, 613, 263, 272, 267, 476, 273, 267, 476, 279, 994, 23054, 14491, 10955, 613, 263, 272, 267, 476, 278, 267, 476, 1556, 994, 23054, 14491, 10955, 613, 263, 273, 267, 476, 274, 267, 476, 278, 994, 23054, 14491, 10955, 613, 263, 273, 267, 476, 279, 267, 476, 273, 994, 23054, 14491, 10955, 613, 263, 273, 267, 476, 276, 267, 476, 275, 994, 23054, 14491, 10955, 613, 263, 274, 267, 476, 275, 267, 476, 280, 994, 23054, 14491, 10955, 613, 263, 274, 267, 476, 276, 267, 476, 1691, 994, 23054, 14491, 10955, 613, 263, 275, 267, 476, 276, 267, 476, 1015, 994, 23054, 14491, 10955, 613, 263, 276, 267, 476, 277, 267, 476, 273, 994, 23054, 14491, 10955, 613, 263, 277, 267, 476, 278, 267, 476, 272, 994, 23054, 14491, 10955, 613, 263, 277, 267, 476, 279, 267, 476, 277, 994, 23054, 14491, 10955, 613, 263, 278, 267, 476, 279, 267, 476, 278, 994, 23054, 10422, 3234, 300, 4306, 3890, 0, 258, 901, 3758, 568, 851, 540, 519, 2326, 18913, 519, 1433, 1477, 258, 834, 12385, 3012, 673, 20603, 998, 5124, 257, 676, 22167, 322, 345, 541, 22603, 543, 715, 16388, 267, 1477, 258, 11062, 2160, 4964, 269, 3883, 3135, 281, 8940, 11482, 690, 545, 1320, 745, 23911, 3820, 1477, 258, 630, 322, 264, 962, 2335, 2967, 589, 269, 22167, 322, 345, 541, 22603, 543, 3143, 600, 715, 16388, 267, 476, 1001, 278, 268, 1708, 272, 1477, 258, 11711, 2012, 281, 3981, 1431, 22812, 2265, 687, 18258, 5897, 18851, 24965, 794, 1063, 12985, 3406, 2042, 27969, 5897, 5228, 6449, 325, 1956, 1029, 1104, 14391, 725, 1477, 5228, 17511, 1104, 17593, 13729, 267, 29570, 267, 16515, 921, 267, 5742, 5897, 5228, 3981, 1431, 269, 1910, 660, 1314, 1104, 2608, 1477, 5228, 3981, 1431, 269, 9895, 24939, 1104, 2608, 5897, 258, 281, 589, 3113, 593, 513, 14584, 1305, 540, 519, 1106, 12181, 263, 272, 267, 1730, 1862, 315, 12181, 267, 1730, 315, 2387, 333, 318, 3200, 1182, 319, 315, 12181, 264, 1730, 267, 1477, 258, 281, 6719, 676, 519, 1297, 540, 14622, 2387, 333, 318, 3200, 1182, 319, 543, 513, 1305, 540, 8728, 936, 1477, 258, 281, 519, 14622, 23228, 20877, 815, 16515, 921, 27776, 267, 17593, 13729, 314, 307, 340, 921, 27776, 267, 703, 14963, 316, 476, 5897, 3698, 568, 14682, 1429, 14116, 1429, 281, 8641, 264, 9847, 536, 944, 6769, 825, 5727, 10267, 4242, 952, 519, 2016, 1239, 2497, 568, 513, 4570, 6041, 540, 513, 3113, 269, 5897, 825, 30352, 6769, 1038, 3113, 281, 1239, 2497, 547, 2638, 269, 5897, 825, 16849, 6769, 1038, 12181, 12148, 1730, 952, 519, 2016, 1239, 2497, 568, 513, 4570, 6041, 540, 513, 1477, 1038, 3113, 267, 12181, 16178, 1730, 6382, 23228, 825, 5727, 1477, 825, 630, 333, 318, 3200, 1182, 267, 8728, 264, 815, 3113, 1477, 825, 585, 6316, 538, 8728, 6769, 1038, 585, 14584, 538, 6316, 6769, 2018, 952, 711, 476, 272, 10922, 14584, 10922, 562, 318, 3200, 1182, 6769, 3546, 2132, 8771, 1477, 1038, 952, 6316, 314, 271, 316, 2652, 6316, 314, 272, 316, 6769, 2018, 2132, 8771, 1477, 825, 2132, 6936, 5897, 3698, 568, 318, 20777, 318, 274, 3712, 1681, 14116, 1429, 281, 8641, 267, 7801, 281, 29570, 27776, 267, 703, 8079, 9847, 536, 944, 6769, 825, 5727, 10267, 4242, 2436, 519, 2016, 7801, 568, 513, 4570, 7801, 540, 519, 2016, 3113, 1477, 825, 676, 519, 4778, 476, 272, 267, 476, 273, 267, 543, 476, 274, 269, 5897, 825, 30352, 6769, 1038, 3113, 281, 3113, 547, 2638, 23228, 1038, 7801, 281, 11837, 689, 519, 14622, 540, 519, 2016, 3113, 547, 4778, 267, 1477, 2018, 547, 2638, 269, 5897, 825, 16849, 6769, 1038, 12181, 12148, 1730, 952, 519, 2016, 7801, 568, 513, 4570, 7801, 540, 519, 2016, 3113, 676, 1477, 1038, 519, 4778, 476, 272, 267, 476, 273, 267, 543, 476, 274, 282, 12181, 16178, 1730, 6382, 23228, 825, 5727, 1477, 825, 7682, 568, 14682, 1429, 14116, 1429, 3418, 825, 630, 333, 318, 3200, 1182, 267, 8728, 264, 815, 3113, 1477, 825, 585, 14584, 538, 2039, 263, 272, 267, 562, 318, 3200, 1182, 1341, 476, 272, 8029, 1038, 952, 14584, 711, 538, 7801, 269, 12399, 3890, 610, 7801, 314, 591, 23753, 316, 711, 538, 2715, 272, 267, 476, 273, 267, 476, 274, 348, 6769, 2018, 2132, 8771, 1477, 825, 585, 6316, 538, 8728, 6769, 1038, 952, 7801, 314, 8354, 314, 271, 14963, 2652, 7801, 314, 8354, 314, 272, 14963, 6769, 2018, 2132, 8771, 1477, 825, 2132, 6936, 5897, 3698, 3113, 274, 3712, 1681, 15461, 318, 845, 3121, 14116, 1429, 281, 8641, 264, 9847, 16754, 6769, 825, 5727, 292, 2310, 569, 6971, 519, 476, 274, 12258, 1681, 1966, 540, 519, 2016, 3113, 883, 513, 1477, 825, 6916, 6636, 1966, 269, 5897, 825, 30352, 6769, 1038, 3113, 281, 3113, 4171, 476, 274, 12258, 1681, 1966, 547, 2569, 23228, 1038, 1477, 825, 16849, 6769, 1038, 589, 20790, 531, 4542, 602, 568, 6916, 4192, 952, 543, 1152, 952, 519, 2016, 1477, 1038, 3113, 568, 476, 274, 12258, 22789, 23228, 825, 5727, 1477, 825, 7682, 568, 14682, 1429, 14116, 1429, 3418, 825, 1948, 8838, 1308, 17130, 476, 273, 269, 1015, 320, 5897, 3698, 7084, 15461, 318, 274, 3712, 1681, 14116, 1429, 281, 8641, 267, 7084, 281, 7844, 264, 9847, 1422, 1477, 1038, 29570, 27776, 267, 703, 316, 6769, 825, 5727, 292, 2310, 569, 21810, 606, 7084, 547, 519, 4542, 7222, 547, 519, 1477, 825, 476, 274, 12258, 1681, 1966, 540, 519, 2016, 3113, 267, 547, 513, 476, 274, 12258, 1681, 540, 519, 2016, 3113, 865, 1477, 825, 602, 519, 476, 274, 12258, 1681, 568, 4570, 952, 543, 1152, 952, 519, 2016, 7084, 568, 1477, 825, 17598, 269, 5897, 825, 30352, 6769, 1038, 3113, 281, 3113, 547, 3132, 513, 476, 274, 12258, 1681, 585, 23228, 1038, 7084, 281, 7084, 547, 519, 4756, 4408, 540, 519, 4542, 8120, 676, 1477, 2018, 2387, 23054, 274, 3712, 1681, 15461, 318, 845, 3121, 319, 315, 12181, 263, 1730, 315, 2387, 23054, 319, 315, 12181, 264, 1730, 269, 5897, 825, 16849, 6769, 1038, 589, 476, 274, 12258, 1681, 540, 519, 2016, 3113, 676, 519, 4778, 476, 272, 267, 476, 273, 267, 543, 476, 274, 602, 568, 4570, 1477, 1038, 952, 543, 1152, 952, 519, 2016, 7084, 25389, 519, 4542, 1477, 1038, 2387, 23054, 274, 3712, 1681, 15461, 318, 845, 3121, 319, 315, 12181, 263, 1730, 315, 2387, 23054, 319, 315, 12181, 264, 1730, 23228, 825, 5727, 1477, 825, 7682, 568, 14682, 1429, 14116, 1429, 3418, 825, 4542, 815, 3113, 274, 3712, 1681, 15461, 318, 845, 3121, 14116, 1429, 3418, 825, 7682, 6218, 263, 845, 3121, 267, 7084, 3418, 825, 1948, 8838, 1308, 17130, 476, 273, 269, 1015, 321, 5897, 3698, 28886, 565, 528, 14682, 1429, 14116, 1429, 281, 8641, 264, 9847, 5742, 314, 300, 6260, 27776, 267, 703, 3910, 7183, 316, 6769, 825, 5727, 4467, 1584, 525, 513, 476, 274, 12258, 1681, 540, 519, 2016, 3113, 269, 5897, 825, 30352, 6769, 1038, 3113, 281, 3113, 547, 476, 274, 12258, 528, 269, 5897, 825, 16849, 6769, 1038, 1323, 17062, 476, 274, 12258, 1681, 540, 519, 2016, 3113, 952, 621, 568, 476, 274, 12258, 22789, 267, 1477, 1038, 12181, 14085, 1730, 6382, 23228, 825, 5727, 1477, 825, 7682, 568, 14682, 1429, 14116, 1429, 3418, 825, 4542, 815, 3113, 274, 3712, 1681, 15461, 318, 845, 3121, 14116, 1429, 3418, 825, 585, 7084, 538, 782, 318, 7116, 1564, 17338, 263, 845, 3121, 18192, 926, 1963, 28829, 8029, 1038, 952, 6218, 263, 845, 3121, 267, 7084, 8029, 2018, 2132, 7084, 15461, 318, 274, 3712, 1681, 14116, 1429, 267, 7084, 3418, 825, 2132, 7183, 1477, 0, 3698, 1451, 28442, 22698, 6847, 22561, 2187, 825, 952, 711, 630, 529, 27349, 6262, 6847, 267, 4289, 15892, 1038, 1576, 17342, 6540, 692, 825, 1576, 6910, 28442, 994, 825, 1820, 6262, 6847, 2020, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 28751, 825, 1451, 2891, 329, 871, 5602, 825, 1451, 2891, 19333, 334, 15419, 0, 5814, 11885, 607, 5286, 454, 3698, 1118, 24512, 318, 5228, 8217, 4433, 727, 8217, 2187, 672, 1820, 4433, 727, 8217, 267, 1826, 4433, 727, 8217, 4917, 672, 930, 8217, 815, 5286, 15126, 4433, 727, 8217, 994, 672, 1820, 4433, 727, 8217, 267, 1826, 4433, 727, 8217, 4917, 672, 2132, 930, 8217, 692, 3698, 1118, 24512, 318, 5228, 20311, 16325, 2187, 825, 1820, 16325, 267, 1826, 16325, 4917, 825, 1007, 19571, 815, 5286, 15126, 8443, 11133, 7481, 825, 1820, 28956, 19571, 267, 7003, 28956, 19571, 4917, 825, 2132, 1007, 19571, 692, 5035, 715, 17056, 15368, 923, 912, 825, 1219, 1039, 318, 541, 7590, 4311, 267, 513, 267, 536, 2187, 1038, 2132, 5286, 14491, 5416, 14720, 2020, 825, 1219, 1039, 24512, 20311, 4311, 267, 513, 267, 1003, 2187, 1038, 2132, 5286, 14491, 5416, 267, 11133, 2020, 825, 1219, 9062, 21223, 2211, 3772, 318, 541, 7590, 4311, 267, 513, 267, 536, 2187, 1038, 2132, 5286, 6230, 738, 17586, 5416, 14720, 2020, 825, 1219, 12297, 7272, 6055, 318, 541, 7590, 4311, 267, 513, 267, 536, 2187, 1038, 2132, 5286, 31715, 5416, 14720, 2020, 825, 1219, 12297, 318, 272, 323, 24512, 318, 273, 323, 24512, 4311, 267, 513, 267, 544, 2187, 1038, 1948, 2015, 519, 476, 273, 323, 5044, 547, 581, 899, 513, 5119, 454, 1038, 2132, 5286, 31715, 5416, 31599, 994, 0, 258, 3231, 2740, 270, 3725, 3598, 2740, 5049, 538, 5124, 256, 594, 1058, 581, 2111, 547, 798, 1732, 2469, 4464, 692, 5814, 19523, 7531, 5035, 4425, 520, 912, 825, 8846, 815, 22373, 301, 2580, 834, 292, 2580, 834, 306, 2580, 834, 310, 257, 6540, 825, 1948, 1064, 815, 1496, 343, 11282, 267, 586, 11282, 2639, 825, 1948, 865, 1341, 343, 568, 5101, 543, 910, 344, 568, 3162, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 3355, 5091, 3925, 267, 3355, 29223, 2187, 1038, 1582, 6155, 597, 318, 785, 815, 1582, 6155, 1311, 687, 28827, 263, 30976, 5091, 3925, 994, 1038, 1582, 269, 1842, 815, 3355, 29223, 692, 825, 1219, 1205, 5091, 3925, 4311, 2187, 1038, 2132, 1582, 6155, 1311, 687, 314, 1345, 6155, 597, 318, 785, 6540, 825, 1219, 1205, 29223, 4311, 2187, 1038, 2132, 1582, 269, 1842, 692, 825, 1219, 17967, 4311, 267, 4287, 267, 5232, 2187, 1038, 952, 5232, 2999, 476, 271, 912, 2018, 952, 4287, 2652, 834, 299, 13426, 3546, 4287, 815, 834, 305, 4840, 2018, 3116, 912, 3546, 4287, 815 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1087, 328, 267, 13604, 267, 723, 1044, 4389, 547, 6071, 3552, 267, 10414, 2275, 571, 7458, 7068, 563, 25324, 976, 540, 9314, 454, 268, 834, 296, 993, 711, 513, 590, 603, 269, 594, 798, 711, 2671, 741, 1973, 4799, 268, 722, 499, 306, 528, 345, 639, 14271, 454, 2750, 6150, 1739, 519, 25569, 5729, 14730, 1145, 267, 29813, 345, 639, 14271, 729, 513, 4775, 14730, 808, 2664, 5828, 590, 603, 7083, 1310, 519, 14710, 540, 519, 590, 603, 693, 31704, 1026, 534, 269, 14271, 729, 513, 4487, 620, 17057, 626, 543, 7463, 538, 519, 5137, 540, 6211, 9604, 543, 9118, 590, 603, 4944, 11921, 563, 8601, 519, 4527, 540, 1200, 1303, 4861, 539, 1560, 610, 711, 267, 14271, 781, 6891, 666, 543, 786, 2408, 1369, 1200, 544, 9476, 1961, 636, 781, 6821, 269, 1401, 24851, 18348, 1648, 543, 17947, 676, 513, 8628, 14334, 267, 14271, 5526, 693, 786, 9170, 1369, 519, 2497, 269, 18614, 2995, 602, 1352, 568, 1634, 547, 581, 5827, 540, 17729, 538, 2789, 6753, 8195, 267, 543, 20240, 3842, 3504, 20801, 338, 563, 3080, 540, 519, 6574, 590, 603, 700, 3581, 538, 1686, 267, 14271, 729, 5827, 540, 9001, 5759, 19039, 569, 4503, 547, 519, 14730, 808, 2664, 19656, 3125, 269, 25175, 1447, 982, 513, 9835, 9457, 1131, 581, 18174, 880, 547, 4497, 1256, 519, 24790, 540, 1200, 2899, 2941, 648, 531, 1106, 563, 268, 834, 763, 2290, 590, 603, 4229, 1934, 3100, 547, 581, 3366, 676, 513, 667, 1755, 338, 267, 711, 4010, 1018, 649, 4397, 950, 649, 8452, 269, 1261, 4667, 513, 10800, 731, 267, 2141, 10483, 676, 1079, 610, 1614, 667, 987, 558, 21105, 21373, 1562, 4799, 268, 722, 499, 309, 4069, 27311, 7797, 715, 268, 22903, 280, 1724, 268, 274, 454, 29820, 593, 519, 4541, 667, 1755, 338, 267, 962, 984, 323, 15089, 568, 513, 17288, 1032, 2025, 590, 603, 7083, 269, 28527, 689, 513, 1272, 540, 5763, 543, 1303, 1856, 618, 267, 646, 3533, 9782, 998, 519, 16034, 540, 11633, 16370, 267, 513, 5599, 6109, 269, 3571, 2759, 628, 9130, 12485, 543, 2347, 1852, 540, 667, 1755, 338, 262, 536, 10740, 543, 9729, 2670, 5599, 4238, 6488, 539, 962, 984, 323, 1102, 18081, 602, 3366, 547, 1010, 6602, 676, 11023, 628, 918, 2001, 339, 538, 476, 1789, 9474, 312, 269, 3571, 2178, 4276, 547, 519, 10414, 729, 3533, 4857, 267, 4611, 538, 1010, 2866, 538, 519, 2081, 540, 519, 590, 603, 593, 31704, 1026, 534, 563, 6124, 569, 12912, 547, 590, 603, 7083, 267, 962, 984, 323, 15089, 729, 8655, 547, 1291, 519, 2290, 590, 603, 781, 1651, 2720, 542, 547, 715, 9110, 326, 2967, 269, 3571, 8810, 8990, 1305, 3597, 609, 519, 7287, 547, 2132, 547, 11023, 628, 918, 2001, 339, 609, 29667, 344, 5827, 540, 9750, 519, 1379, 540, 519, 2290, 590, 603, 269, 3143, 2339, 519, 1942, 267, 713, 590, 603, 7083, 786, 4019, 782, 1010, 1983, 547, 5275, 543, 13844, 1022, 14951, 547, 581, 1336, 563, 9199, 1441, 676, 513, 5449, 715, 2074, 3563, 267, 962, 984, 323, 4607, 543, 2919, 5759, 2565, 547, 1010, 8396, 1438, 7907, 593, 715, 9110, 326, 599, 269, 1452, 7060, 1331, 519, 946, 540, 27411, 514, 262, 291, 3863, 267, 31048, 540, 645, 686, 541, 267, 1306, 1051, 540, 23566, 267, 543, 519, 2702, 540, 519, 1744, 20760, 918, 14525, 563, 14367, 9053, 9604, 616, 513, 8279, 629, 518, 543, 1025, 2120, 29937, 539, 538, 512, 30802, 269, 1306, 606, 3773, 3463, 547, 1010, 2907, 23773, 1983, 267, 962, 984, 323, 568, 2141, 10483, 676, 1063, 1079, 543, 1614, 667, 987, 558, 597, 534, 21373, 1562, 11439, 609, 6052, 645, 3298, 267, 9604, 5827, 540, 20590, 31211, 540, 11919, 602, 6146, 14678, 563, 307, 655, 921, 540, 29813, 345, 639, 14271, 306, 603, 12738, 563, 763, 13675, 547, 519, 11454, 568, 4092, 896, 519, 5394, 26570, 24588, 540, 715, 9110, 326, 2967, 267, 1818, 1022, 19666, 1935, 7543, 269, 634, 5354, 540, 519, 11454, 568, 4092, 1369, 513, 20077, 856, 10239, 728, 609, 519, 13675, 6825, 676, 6698, 1657, 519, 1292, 2895, 3118, 29544, 29813, 345, 639, 14271, 269, 634, 30810, 540, 519, 10239, 728, 1950, 849, 3568, 1896, 824, 9723, 2125, 267, 2519, 20830, 267, 543, 8021, 6131, 547, 4974, 519, 2729, 540, 519, 1082, 590, 603, 700, 3581, 12617, 972, 269, 589, 18596, 6249, 602, 568, 5612, 18476, 693, 519, 13675, 540, 519, 9744, 568, 519, 7745, 22225, 16841, 267, 799, 616, 538, 519, 3337, 540, 513, 6906, 267, 835, 799, 14271, 13948, 9053, 607, 7074, 676, 519, 3090, 2429, 519, 11454, 269, 634, 1292, 2497, 540, 519, 11454, 568, 849, 538, 519, 3337, 540, 513, 18158, 563, 763, 11454, 3294, 568, 8499, 1630, 984, 344, 16290, 543, 3568, 3504, 530, 1841, 547, 948, 2149, 519, 8699, 540, 519, 2497, 689, 13311, 3544, 28164, 269, 634, 26570, 4478, 519, 11454, 568, 6870, 676, 519, 18939, 540, 519, 2892, 557, 6004, 331, 1087, 328, 543, 19537, 996, 657, 267, 11439, 609, 1152, 2241, 9604, 543, 513, 25229, 21747, 2702, 547, 1852, 519, 10414, 269, 1358, 616, 711, 1419, 1336, 3330, 519, 1950, 3294, 267, 855, 789, 616, 811, 982, 8348, 547, 11371, 8775, 593, 519, 960, 540, 741, 11937, 538, 1931, 547, 9004, 1022, 3544, 4229, 269, 634, 2370, 7320, 602, 568, 593, 519, 4541, 30417, 519, 11454, 693, 782, 3790, 267, 1034, 2693, 1813, 547, 922, 5393, 2178, 4276, 547, 519, 14730, 17121, 540, 519, 10414, 563, 305, 2658, 9197, 1662, 13505, 454, 4913, 267, 607, 4411, 543, 964, 25544, 607, 519, 681, 2658, 5526, 547, 581, 267, 621, 568, 513, 9675, 585, 930, 540, 519, 18348, 539, 6004, 331, 1087, 328, 945, 1265, 2933, 10912, 519, 6928, 1753, 269, 12344, 544, 5417, 2989, 676, 519, 10414, 267, 610, 4782, 2590, 519, 2028, 1023, 540, 519, 3504, 10617, 1222, 2864, 982, 519, 18894, 15130, 9552, 540, 519, 715, 9110, 326, 2967, 512, 1495, 571, 267, 519, 6004, 331, 1087, 328, 723, 3262, 2933, 2429, 1082, 735, 25902, 540, 519, 6928, 1247, 849, 6028, 1454, 540, 621, 23257, 1819, 1256, 676, 741, 1378, 1004, 936, 519, 1296, 563, 763, 811, 2487, 2290, 590, 603, 30295, 723, 13175, 741, 29293, 540, 519, 6928, 267, 3843, 547, 2057, 519, 6004, 331, 1087, 328, 20948, 6810, 1247, 10478, 585, 882, 923, 602, 949, 3180, 1702, 267, 1379, 267, 610, 6272, 585, 3504, 9604, 543, 23640, 547, 948, 24772, 741, 4229, 563, 6826, 16442, 519, 2480, 25333, 454, 763, 3769, 1686, 16621, 1082, 1875, 6741, 322, 1881, 2609, 540, 519, 10060, 12668, 7122, 267, 4481, 519, 15322, 540, 29813, 345, 639, 14271, 543, 519, 11175, 540, 519, 3312, 590, 603, 7276, 896, 1520, 553, 267, 883, 715, 9110, 326, 2967, 781, 1394, 32143, 269, 769, 1840, 267, 621, 3217, 824, 2609, 689, 681, 22333, 2200, 602, 616, 9598, 730, 676, 6345, 2962, 543, 1568, 873, 883, 519, 1686, 269, 2290, 1383, 540, 713, 1131, 581, 11023, 628, 966, 648, 333, 4543, 519, 808, 2664, 22367, 651, 2319, 7001, 4860, 534, 267, 835, 2009, 6364, 538, 634, 5975, 2001, 531, 540, 11023, 628, 4860, 534, 7045, 7110, 563, 12234, 267, 1483, 1158, 2621, 543, 1344, 941, 849, 11368, 883, 519, 2376, 269, 634, 6243, 543, 590, 603, 6370, 936, 715, 9110, 326, 2967, 1282, 519, 4279, 8895, 12519, 2782, 729, 6273, 676, 519, 2136, 2276, 13108, 543, 13149, 781, 8878, 540, 654, 820, 6816, 1996, 519, 5545, 538, 519, 6679, 2395, 540, 2622, 2782, 4083, 267, 609, 519, 9983, 4323, 593, 31704, 1026, 534, 2921, 519, 1747, 540, 23421, 23320, 269, 634, 1344, 593, 519, 19537, 996, 657, 543, 6004, 331, 1087, 328, 11031, 267, 971, 607, 519, 4908, 540, 1427, 9084, 1759, 15294, 619, 543, 519, 946, 540, 1804, 7786, 607, 513, 3119, 2707, 540, 3940, 267, 729, 1759, 593, 11673, 540, 519, 11031, 540, 1715, 19892, 689, 808, 1563, 27339, 781, 1433, 717, 12584, 267, 15168, 916, 267, 543, 13082, 281, 634, 674, 919, 540, 5274, 5081, 7724, 563, 301, 9110, 326, 2967, 729, 835, 540, 519, 29653, 10785, 540, 18001, 594, 540, 519, 14730, 12724, 1228, 269, 634, 530, 5942, 7127, 729, 2966, 676, 519, 10888, 2319, 547, 1831, 17374, 269, 9122, 593, 519, 2164, 540, 18001, 594, 267, 1773, 6558, 529, 729, 13752, 519, 1318, 547, 1827, 715, 9110, 326, 2967, 269, 0, 14722, 1175, 22942, 539, 950, 3425, 2968, 851, 3026, 6387, 11209, 563, 307, 5281, 856, 3425, 723, 1044, 31362, 519, 4541, 585, 513, 1360, 267, 1360, 1279, 942, 563, 288, 1007, 2007, 1500, 930, 4241, 8906, 827, 519, 27487, 540, 513, 476, 273, 267, 1822, 4458, 6040, 10340, 563, 13425, 856, 606, 18303, 4837, 321, 27172, 18638, 609, 803, 4092, 1152, 513, 1906, 3108, 2476, 689, 519, 9998, 15456, 2963, 540, 519, 1148, 563, 12867, 2161, 513, 5063, 4362, 6149, 28973, 729, 1031, 547, 1376, 11642, 563, 4322, 21219, 941, 12617, 538, 13243, 585, 5553, 3267, 2394, 1004, 25653, 873, 909, 543, 5828, 873, 883, 513, 10918, 4155, 563, 19425, 2801, 5505, 538, 7977, 4362, 3504, 4522, 609, 1804, 19659, 267, 11021, 602, 25185, 4422, 1394, 513, 2603, 3476, 982, 649, 2219, 563, 291, 2426, 6602, 7028, 24085, 262, 3069, 540, 1141, 14610, 781, 29988, 7601, 15183, 941, 4092, 563, 5804, 7284, 656, 529, 547, 4432, 16910, 5964, 267, 891, 3504, 12977, 2611, 607, 12357, 607, 519, 6939, 545, 17691, 4478, 873, 563, 23873, 10136, 6728, 539, 538, 5840, 1743, 1678, 513, 2898, 2603, 540, 14326, 547, 1832, 741, 14326, 909, 1282, 519, 2112, 563, 2467, 781, 1100, 782, 3917, 537, 2275, 534, 3887, 520, 10889, 564, 855, 596, 1223, 723, 905, 16556, 593, 10153, 1161, 267, 4453, 338, 543, 18683, 563, 5445, 1336, 513, 6928, 342, 516, 1188, 267, 4154, 11113, 543, 1256, 606, 3504, 1931, 540, 29843, 563, 763, 4155, 267, 5063, 4362, 2282, 13243, 267, 729, 2899, 519, 8905, 585, 900, 30752, 563, 1607, 7499, 15224, 1336, 538, 5840, 2838, 1412, 23855, 1670, 1702, 543, 4058, 25692, 14722, 4974, 476, 7785, 4458, 6040, 20341, 6961, 519, 2520, 558, 8568, 2361, 568, 711, 2469, 547, 14897, 269, 0, 763, 32021, 21840, 5403, 454, 2304, 3486, 10554, 14736, 539, 1055, 593, 13723, 538, 14642, 5979, 267, 16157, 781, 3854, 2749, 267, 547, 1865, 2081, 547, 24772, 4027, 540, 9341, 7733, 267, 799, 5171, 3858, 1223, 948, 3565, 547, 3646, 547, 3247, 2518, 8337, 563, 763, 14642, 5979, 23427, 11206, 17072, 267, 6896, 676, 519, 21785, 10837, 585, 4886, 29046, 267, 786, 4183, 1079, 1164, 7400, 726, 32418, 7886, 602, 786, 1331, 14245, 593, 519, 5767, 2257, 827, 519, 2956, 540, 7733, 585, 2916, 543, 1646, 3853, 563, 2005, 786, 849, 4183, 513, 8470, 4901, 593, 519, 1533, 540, 1404, 538, 2474, 540, 3356, 4724, 9072, 547, 1439, 17717, 563, 302, 5055, 4432, 4034, 340, 523, 267, 21785, 14012, 585, 2916, 543, 1604, 1767, 519, 1158, 729, 6849, 3978, 2042, 540, 17717, 5103, 3646, 538, 519, 2250, 476, 1015, 1296, 547, 11574, 519, 1966, 563, 10454, 3510, 568, 1869, 3978, 543, 922, 3978, 1145, 666, 1405, 581, 936, 26061, 269, 1809, 1927, 609, 782, 4891, 621, 568, 2009, 547, 1439, 519, 2530, 540, 9341, 4104, 2437, 4432, 4034, 340, 523, 1767, 563, 24154, 7588, 1014, 2916, 10196, 24883, 12321, 516, 1767, 519, 1158, 2877, 547, 2097, 909, 609, 1007, 1797, 547, 11177, 9341, 4104, 5612, 563, 20442, 1810, 1405, 723, 476, 1789, 1296, 269, 1284, 1152, 723, 513, 8717, 547, 3479, 547, 2101, 556, 16396, 2437, 12321, 516, 1767, 563, 763, 10554, 3323, 607, 1007, 1867, 689, 519, 6820, 11206, 13772, 19674, 267, 6029, 602, 9341, 7733, 1472, 519, 8608, 4503, 476, 1428, 269, 279, 2929, 25614, 630, 4375, 2929, 14143, 264, 540, 3529, 3382, 538, 476, 1001, 278, 2443, 606, 1858, 519, 2450, 540, 16273, 269, 2334, 2306, 476, 1001, 278, 519, 2034, 2914, 528, 560, 1032, 593, 2594, 267, 1310, 476, 1001, 277, 267, 2094, 3173, 3459, 11018, 519, 1239, 538, 476, 1220, 272, 269, 0, 18893, 673, 16544, 540, 3752, 1749, 454, 2421, 19291, 654, 2393, 523, 454, 21812, 281, 14288, 4964, 476, 3192, 273, 454, 10831, 540, 3817, 281, 476, 18605, 454, 763, 1459, 1433, 8942, 547, 6445, 513, 991, 585, 513, 4909, 1837, 799, 6941, 519, 9804, 3601, 540, 17571, 269, 898, 568, 5921, 547, 2491, 513, 1297, 540, 1271, 2035, 2864, 982, 1459, 513, 2347, 5619, 540, 8097, 1239, 563, 12606, 610, 1224, 621, 2228, 585, 1863, 1934, 912, 2421, 4236 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23401, 6978, 6482, 267, 4829, 6482, 543, 1106, 269, 3973, 267, 789, 29979, 891, 5439, 609, 8978, 12015, 267, 20399, 15013, 10710, 538, 10786, 7559, 538, 15882, 543, 7762, 23307, 10651, 1158, 2647, 2443, 1927, 609, 513, 19494, 6394, 538, 476, 12293, 280, 689, 519, 670, 5960, 7736, 324, 2948, 30576, 720, 3366, 676, 18279, 6276, 16259, 12129, 563, 26139, 1369, 519, 2978, 593, 519, 9628, 15636, 23307, 7982, 12881, 267, 519, 3173, 9916, 3152, 982, 476, 1220, 1880, 1268, 3694, 26258, 15013, 267, 2519, 15866, 593, 6079, 1652, 3694, 26258, 689, 853, 269, 27673, 543, 570, 1695, 16951, 538, 1840, 547, 5439, 689, 1158, 2647, 269, 634, 1505, 7255, 25935, 543, 15971, 5027, 689, 6978, 5439, 269, 7324, 560, 891, 5439, 267, 519, 3173, 538, 519, 1439, 6444, 5216, 1292, 3486, 3694, 26258, 1899, 1137, 2443, 476, 276, 540, 602, 616, 4362, 1369, 519, 12144, 543, 2386, 24901, 519, 2189, 476, 9692, 274, 4367, 676, 519, 670, 5960, 6489, 6420, 563, 2108, 6546, 568, 606, 13858, 4161, 2223, 5018, 667, 1014, 324, 681, 698, 821, 267, 8689, 900, 518, 7978, 540, 519, 29968, 26258, 4659, 593, 519, 13780, 4204, 23427, 15636, 19680, 7982, 12881, 538, 16127, 267, 4983, 1071, 27236, 543, 2098, 699, 8615, 779, 5449, 9666, 518, 269, 968, 3528, 8047, 267, 10786, 10740, 543, 5399, 2079, 543, 2361, 1740, 538, 570, 1695, 16951, 543, 519, 12144, 543, 676, 1565, 3694, 26258, 16025, 24721, 593, 519, 13780, 4204, 23427, 15636, 19680, 7982, 12881, 538, 16127, 267, 1614, 5481, 540, 6690, 3744, 1185, 1044, 538, 513, 2990, 547, 1459, 3435, 547, 513, 5553, 6040, 4278, 14525, 281, 2048, 7617, 12204, 540, 3694, 26258, 1705, 18279, 2349, 662, 6338, 883, 519, 12144, 286, 262, 7536, 17780, 6140, 593, 4505, 960, 676, 2098, 699, 8615, 543, 1866, 267, 972, 616, 3875, 3063, 3486, 3694, 26258, 1899, 1137, 950, 519, 8799, 2039, 540, 6079, 539, 28212, 689, 7909, 807, 616, 3769, 269, 634, 1459, 4983, 6098, 11207, 593, 6079, 1652, 3694, 26258, 563, 14071, 6444, 476, 276, 4719, 1899, 1137, 1369, 519, 12144, 267, 799, 13292, 1018, 649, 1459, 538, 930, 8978, 5931, 2223, 10748, 328, 5018, 269, 968, 2005, 729, 13858, 547, 751, 848, 11735, 713, 3140, 2250, 543, 21656, 3694, 26258, 779, 2039, 1369, 519, 12144, 1024, 558, 1227, 585, 519, 3119, 942, 3034, 2108, 15239, 11383, 267, 972, 1223, 849, 581, 3063, 12204, 540, 3694, 26258, 538, 853, 269, 27673, 982, 938, 4719, 2994, 949, 3313, 607, 513, 1267, 540, 789, 2461, 865, 32348, 2404, 2223, 2098, 699, 8615, 5018, 269, 968, 10214, 950, 649, 798, 711, 3605, 4719, 7648, 10838, 7031, 602, 2043, 3651, 11207, 1114, 4408, 547, 267, 891, 4408, 20866, 723, 4644, 543, 4502, 3034, 15987, 3694, 26258, 3323, 609, 513, 4158, 880, 3140, 2250, 1369, 519, 12144, 607, 10553, 6980, 267, 519, 14312, 4829, 6038, 5828, 606, 1898, 513, 851, 540, 6532, 1426, 1544, 543, 2245, 269, 17859, 540, 2348, 968, 26258, 892, 538, 922, 2140, 267, 3694, 26258, 568, 588, 8944, 543, 6079, 1652, 267, 2921, 851, 538, 513, 11477, 2990, 3063, 899, 513, 15837, 269, 2271, 1836, 2404, 547, 13544, 26258, 267, 519, 8770, 11656, 6980, 568, 7050, 538, 6775, 267, 9422, 8324, 543, 6886, 269, 769, 922, 5065, 7909, 807, 519, 1747, 3694, 26258, 729, 30042, 267, 2043, 723, 1044, 10438, 3694, 26258, 585, 7366, 540, 1296, 2443, 2436, 610, 711, 2848, 3139, 267, 28777, 267, 22304, 610, 25496, 269, 29968, 26258, 10123, 786, 581, 2968, 7912, 267, 865, 607, 547, 561, 1263, 6533, 922, 15808, 1272, 563, 2026, 4166, 607, 3964, 267, 513, 2582, 3694, 26258, 3529, 666, 21078, 585, 1082, 1296, 267, 6721, 3875, 5613, 12422, 269, 1656, 267, 607, 513, 1267, 540, 621, 568, 513, 21064, 7693, 267, 621, 10123, 3340, 1454, 1447, 21755, 4283, 630, 4248, 543, 13226, 264, 982, 5993, 7031, 602, 1058, 581, 4562, 5896, 12422, 269, 6145, 1114, 16025, 267, 621, 10123, 3524, 22246, 3327, 8166, 689, 519, 1604, 563, 2108, 9288, 1023, 3106, 543, 6980, 16285, 585, 519, 1739, 26992, 6013, 1369, 519, 9118, 2150, 11474, 4960, 540, 3694, 26258, 2223, 5018, 23583, 808, 10422, 269, 1744, 9994, 267, 4983, 1071, 27236, 267, 945, 729, 1225, 1807, 540, 519, 853, 269, 27673, 15636, 19680, 7982, 12881, 593, 519, 942, 540, 519, 2079, 563, 28606, 17067, 713, 29757, 267, 2098, 699, 8615, 543, 3345, 13523, 2199, 4365, 3744, 30363, 835, 824, 4983, 630, 516, 557, 4705, 538, 12813, 5308, 10871, 4365, 1070, 799, 4362, 602, 3694, 26258, 568, 2523, 14388, 1369, 519, 3068, 540, 1480, 27351, 4310, 2199, 4365, 1689, 269, 9282, 1114, 20013, 7031, 22617, 548, 538, 521, 11170, 1782, 6381, 267, 519, 3173, 3589, 602, 19249, 6381, 1223, 723, 1454, 1447, 1764, 593, 3694, 26258, 269, 12791, 621, 949, 1404, 606, 1898, 2990, 538, 7303, 2916, 12454, 27781, 563, 763, 4983, 267, 968, 299, 9722, 3694, 26258, 5252, 541, 4408, 2429, 519, 8608, 13462, 12583, 1310, 476, 15996, 1296, 540, 9668, 2223, 729, 6462, 676, 519, 7982, 12881, 16840, 1222, 540, 3013, 267, 15636, 19680, 5980, 540, 3013, 267, 519, 4659, 585, 20885, 543, 5295, 693, 3345, 13523, 1763, 333, 1157, 4317, 21478, 8750, 543, 519, 3345, 13523, 5441, 1325, 4379, 2801, 5811, 13815, 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 ]
[ 0, 13775, 4989, 476, 1220, 273, 454, 2421, 2974, 13871, 7734, 4586, 24309, 538, 2296, 454, 347, 6944, 1026, 1903, 1475, 305, 659, 3559, 28243, 630, 26877, 755, 15249, 10245, 21511, 8447, 8629, 2008, 31871, 540, 9664, 1475, 2764, 2008, 763, 2229, 568, 2921, 2476, 2596, 22624, 11292, 896, 519, 9139, 269, 901, 5363, 3391, 3947, 513, 2312, 5075, 540, 1018, 707, 2924, 616, 543, 875, 596, 666, 2149, 873, 269, 769, 1931, 547, 5963, 1174, 519, 22624, 649, 723, 607, 1004, 540, 519, 2136, 2276, 267, 649, 1590, 4628, 10146, 938, 9139, 543, 519, 4128, 1946, 938, 5853, 532, 12429, 338, 25282, 621, 270, 276, 14061, 7638, 572, 910, 1656, 952, 1022, 812, 4927, 1491, 2476, 689, 519, 1913, 540, 519, 1433, 540, 713, 28897, 267, 2696, 4927, 1491, 2476, 1010, 851, 856, 540, 519, 1433, 540, 1272, 267, 543, 856, 540, 519, 13411, 2749, 267, 543, 689, 519, 1919, 799, 616, 2854, 538, 713, 1433, 282, 689, 519, 3529, 540, 1272, 282, 1775, 4318, 269, 602, 5018, 538, 2357, 269, 476, 273, 543, 538, 2357, 269, 476, 1691, 267, 1141, 849, 519, 2749, 568, 5018, 269, 4634, 689, 519, 1919, 2854, 538, 713, 1433, 4667, 547, 581, 519, 1483, 2495, 540, 269, 8074, 281, 13022, 725, 616, 1759, 593, 4704, 4441, 269, 1717, 267, 11249, 3652, 666, 4268, 4922, 1063, 3156, 543, 4610, 540, 1719, 610, 1353, 269, 634, 1808, 4170, 610, 7375, 540, 707, 17265, 17404, 267, 4928, 4116, 267, 9872, 610, 3919, 1058, 581, 4294, 269, 14171, 2476, 907, 1496, 298, 13873, 21563, 656, 5336, 1961, 316, 4534, 1323, 4367, 547, 12408, 1210, 1806, 689, 4948, 3871, 547, 9414, 519, 2035, 3238, 269, 570, 2586, 689, 513, 3126, 799, 2488, 606, 4367, 547, 10867, 13004, 3584, 267, 713, 1433, 9388, 609, 12408, 269, 11822, 13354, 15819, 12857, 519, 5467, 547, 713, 1641, 563, 339, 820, 2476, 642, 321, 630, 13700, 267, 30163, 264, 547, 20952, 282, 10208, 281, 1491, 2476, 2185, 689, 8370, 547, 4734, 2947, 269, 3341, 14263, 281, 8370, 1491, 2476, 2185, 568, 2947, 269, 7755, 476, 272, 269, 630, 290, 809, 2044, 264, 630, 1993, 1426, 610, 4235, 264, 338, 1245, 585, 4616, 2476, 689, 519, 22402, 593, 799, 621, 568, 5423, 281, 513, 1491, 12537, 7594, 269, 476, 273, 269, 630, 290, 809, 2044, 264, 8600, 543, 9513, 1426, 585, 4616, 2476, 689, 519, 22402, 281, 513, 1491, 12537, 4095, 269, 21261, 894, 4828, 281, 7641, 568, 14171, 589, 3118, 519, 13206, 527, 540, 7335, 7734, 17451, 2094, 519, 8798, 540, 2835, 267, 2542, 814, 1044, 513, 2442, 2250, 942, 609, 1346, 2111, 547, 1224, 269, 1306, 7924, 2157, 2799, 267, 2542, 4166, 2968, 1945, 602, 519, 5354, 540, 519, 2551, 10150, 267, 543, 1317, 7924, 543, 2542, 616, 7533, 547, 1142, 824, 267, 519, 811, 1004, 269, 15531, 513, 3883, 1879, 1411, 4312, 1280, 326, 13516, 4706, 7170, 676, 717, 30591, 3794, 1794, 518, 267, 18058, 715, 913, 332, 6744, 856, 5697, 2164, 689, 12924, 12195, 7170, 2372, 652, 2073, 4371, 4864, 476, 273, 267, 2073, 607, 1134, 607, 7170, 2372, 652, 901, 568, 606, 9337, 540, 513, 3105, 2022, 676, 1744, 16336, 681, 6506, 517, 269, 898, 666, 581, 9157, 547, 3314, 519, 2140, 543, 2278, 540, 513, 1433, 596, 1224, 513, 1279, 942, 3516, 8191, 281, 717, 30591, 3794, 1794, 518, 269, 14271, 11618, 585, 1491, 2476, 693, 609, 1863, 2228, 519, 28445, 267, 1884, 11618, 267, 543, 8847, 269, 4855, 10855, 8925, 585, 1491, 2476, 563, 289, 1043, 12411, 525, 6168, 17006, 1677, 634, 6426, 31694, 910, 1656, 952, 1022, 812, 4927, 1491, 2476, 689, 519, 1913, 540, 519, 1433, 540, 713, 28897, 267, 2696, 4927, 1491, 2476, 1010, 851, 856, 540, 519, 1433, 540, 1272, 267, 543, 856, 540, 519, 13411, 2749, 267, 543, 1496, 5228, 316, 519, 1919, 799, 616, 2854, 538, 713, 1433, 269, 3143, 2859, 14171, 589, 3118, 1234, 947, 543, 4033, 9046, 1738, 2598, 23002, 13756, 1433, 269, 3367, 476, 277, 8039, 689, 519, 1158, 781, 4102, 2146, 585, 3988, 269, 674, 745, 1598, 730, 676, 1315, 276, 269, 769, 1142, 1433, 513, 8026, 19829, 543, 606, 2069, 11001, 2697, 606, 23696, 2259, 282, 17412, 1018, 519, 1382, 5267, 827, 1946, 282, 543, 1469, 1382, 2861, 267, 8810, 2853, 547, 5372, 621, 543, 2087, 2875, 1565, 269, 3367, 513, 3732, 3184, 689, 3143, 2859, 14171, 589, 3118, 1234, 947, 543, 4033, 9046, 1738, 2598, 23002, 13756, 269, 1703, 616, 1079, 1360, 1271, 267, 3982, 267, 543, 2556, 2081, 547, 1224, 519, 6426, 269, 634, 1034, 1455, 568, 547, 1224, 519, 3003, 6426, 607, 835, 6024, 1650, 540, 20778, 689, 519, 1448, 540, 519, 12096, 540, 8103, 547, 519, 5250, 540, 2441, 779, 5783, 593, 3047, 627, 545, 269, 0, 7474, 2835, 593, 2112, 723, 547, 798, 609, 971, 1919, 607, 2309, 1143, 538, 8888, 4566, 267, 543, 519, 7503, 540, 838, 625, 267, 789, 3180, 602, 519, 1148, 568, 1799, 7394, 543, 7938, 20564, 540, 513, 27041, 269, 1452, 1004, 11716, 519, 1249, 602, 519, 2090, 540, 938, 5640, 543, 519, 3540, 7245, 540, 938, 8387, 849, 2154, 11931, 3498, 543, 2259, 1354, 4398, 568, 6603, 269, 634, 606, 857, 757, 941, 3226, 669, 776, 540, 3850, 6071, 18051, 1182, 547, 7762, 577, 741, 960, 269, 1284, 777, 976, 616, 536, 2033, 995, 543, 19509, 724, 1154, 829, 559, 748, 282, 543, 8259, 513, 2489, 568, 538, 3586, 2259, 267, 646, 11129, 711, 547, 9651, 824, 2367, 779, 2729, 538, 6370, 269, 9747, 621, 568, 1898, 602, 6129, 570, 345, 385, 511, 779, 476, 1724, 11271, 1058, 581, 6594, 269, 670, 19561, 836, 9149, 836, 1031, 547, 4051, 1010, 683, 15343, 342, 15616, 538, 519, 1148, 540, 2112, 269, 15616, 3893, 513, 11315, 2856, 540, 519, 1148, 538, 922, 2489, 26971, 267, 855, 1131, 711, 11654, 1010, 2090, 547, 741, 1697, 6364, 267, 519, 12343, 1373, 602, 646, 729, 19509, 333, 958, 17204, 543, 24057, 3497, 269, 1261, 1705, 711, 29311, 602, 519, 15361, 543, 1148, 328, 16667, 806, 540, 2112, 616, 3564, 11913, 19106, 269, 16099, 670, 19561, 836, 540, 590, 2426, 543, 3751, 962, 523, 540, 670, 338, 6686, 941, 4547, 547, 9552, 676, 741, 3765, 31419, 8103, 269, 634, 30217, 748, 543, 896, 8518, 2470, 540, 2112, 19329, 519, 946, 540, 1368, 850, 543, 14404, 720, 332, 14018, 547, 519, 8317, 269, 1703, 568, 513, 2013, 593, 2594, 540, 25230, 639, 5128, 2348, 26991, 606, 970, 9285, 522, 987, 267, 543, 849, 540, 1010, 2348, 2451, 519, 590, 2426, 3557, 538, 24320, 1047, 269, 2052, 649, 1287, 22672, 8393, 818, 571, 793, 6129, 570, 345, 385, 511, 585, 23304, 8973, 5168, 543, 19969, 888, 268, 901, 568, 513, 2864, 21372, 782, 4288, 547, 570, 810, 932, 10224, 267, 29635, 354, 482, 10429, 361, 267, 2473, 18958, 296, 269, 476, 275, 267, 1141, 17578, 6686, 7302, 8072, 534, 3081, 281, 476, 31878, 20069, 419, 378, 492, 421, 490, 355, 21251, 12916, 379, 32512, 11858, 372, 420, 352, 377, 419, 482, 487, 968, 2252, 596, 723, 513, 4062, 540, 4190, 2156, 322, 1228, 267, 596, 786, 711, 2308, 513, 6071, 15226, 547, 1118, 621, 909, 3034, 268, 595, 325, 269, 28001, 570, 17845, 932, 532, 267, 669, 269, 476, 4029, 281, 476, 10429, 369, 26033, 483, 21251, 419, 354, 354, 18263, 489, 417, 503, 357, 563, 268, 6129, 670, 28410, 3917, 523, 1522, 723, 20926, 25230, 639, 1586, 269, 6423, 700, 684, 962, 6686, 267, 2473, 7656, 269, 476, 3066, 267, 476, 1789, 563, 268, 14568, 1634, 607, 670, 19561, 836, 22614, 378, 377, 962, 6686, 1496, 289, 5861, 269, 476, 22001, 1765, 1708, 14073, 268, 634, 3791, 1851, 519, 476, 11590, 498, 25263, 363, 630, 528, 28859, 506, 372, 264, 679, 10179, 730, 593, 533, 269, 476, 15221, 269, 1280, 519, 10071, 5219, 547, 267, 1294, 570, 810, 932, 10224, 267, 13127, 481, 500, 10429, 361, 267, 30619, 2862, 269, 476, 275, 563, 268, 6423, 24101, 571, 267, 533, 269, 1535, 12858, 267, 4063, 476, 275, 563, 268, 1744, 8811, 15616, 267, 669, 269, 476, 5325, 267, 535, 269, 476, 278, 887, 454, 268, 25592, 573, 1421, 669, 269, 476, 4343, 267, 535, 269, 476, 279, 21350, 0, 300, 26090, 11608, 616, 12747, 11608, 602, 616, 14916, 14475, 585, 1585, 4108, 3156, 971, 607, 3560, 267, 543, 3406, 543, 15063, 269, 13639, 11608, 616, 2966, 547, 1685, 19408, 4247, 267, 799, 3947, 873, 606, 6316, 936, 824, 2757, 7405, 269, 1358, 723, 519, 12588, 547, 16641, 10546, 17061, 865, 607, 547, 9718, 519, 4182, 689, 3444, 8473, 6285, 269, 22547, 538, 5092, 689, 22257, 543, 8878, 9922, 547, 23144, 543, 1020, 4108, 11608, 547, 973, 20234, 1619, 585, 4108, 7787, 1944, 568, 4397, 547, 5397, 519, 4108, 11608, 2344, 936, 519, 9472, 1974, 269, 1234, 10293, 540, 7952, 10136, 610, 4421, 619, 609, 1480, 1355, 11608, 568, 4397, 547, 4412, 601, 519, 3747, 585, 4108, 11608, 538, 519, 2282, 2104, 269, 7605, 1824, 538, 519, 26462, 2872, 948, 547, 2569, 1480, 25096, 267, 10512, 1942, 267, 2087, 7207, 540, 4323, 267, 543, 5838, 3608, 13178, 563, 7476, 12726, 25767, 912, 305, 1047, 538, 7678, 540, 19025, 568, 4397, 547, 5397, 519, 2208, 540, 4108, 11608, 28354, 269, 1452, 19025, 616, 1134, 9280, 609, 8596, 267, 12445, 1949, 267, 543, 15870, 799, 2337, 547, 5838, 3510, 5359, 547, 10136, 267, 771, 1301, 23038, 267, 543, 849, 948, 538, 15063, 543, 3406, 4238, 269, 1133, 2181, 13484, 2208, 538, 3747, 585, 6186, 13087, 19025, 585, 946, 538, 2244, 1759, 543, 17189, 3156, 568, 10567, 547, 5397, 519, 2208, 540, 4108, 17562, 2344, 936, 519, 9472, 1974, 269, 27997, 7835, 538, 2029, 723, 1500, 621, 2009, 585, 2518, 9755, 547, 3888, 543, 1020, 7207, 538, 772, 16787, 338, 865, 607, 547, 2569, 519, 5506, 540, 2458, 4288, 609, 8484, 338, 543, 824, 23197, 6472, 269, 634, 772, 2529, 269, 5794, 10414, 814, 15748, 543, 11368, 1114, 5686, 540, 8596, 593, 772, 16787, 338, 971, 607, 6850, 19945, 3749, 12514, 543, 6808, 16580, 21084, 1949, 269, 1452, 772, 16787, 338, 948, 547, 4483, 1239, 1510, 954, 8306, 540, 1239, 12535, 547, 2666, 10473, 1282, 4238, 269, 22547, 538, 7836, 593, 7760, 538, 2029, 568, 2693, 547, 4492, 519, 1646, 540, 3838, 2011, 11898, 865, 602, 519, 19025, 666, 3362, 4163, 856, 741, 8655, 4247, 563, 763, 4108, 11608, 2344, 814, 1044, 536, 604, 584, 322, 730, 883, 3760, 543, 31139, 269, 1635, 3760, 267, 519, 4108, 11608, 2344, 814, 1044, 5302, 27935, 883, 2244, 267, 23197, 267, 543, 17189, 269, 5794, 13871, 10126, 568, 4397, 547, 4228, 693, 513, 4028, 10605, 19962, 547, 519, 4473, 538, 3747, 585, 772, 16787, 338, 2066, 1585, 6080, 269, 772, 16787, 338, 723, 1044, 11543, 8560, 282, 607, 513, 1267, 972, 814, 1044, 5230, 5092, 593, 772, 16787, 338, 689, 4357, 8041, 543, 22257, 3906, 269, 2201, 519, 4493, 540, 31139, 267, 519, 4108, 11608, 2344, 814, 1044, 5302, 27935, 883, 16986, 267, 8596, 267, 8254, 267, 8955, 267, 9604, 267, 543, 3381, 5496, 269, 1635, 3498, 267, 519, 4108, 11608, 2344, 814, 1044, 5302, 27935, 883, 23001, 18017, 11608, 267, 2112, 2361, 11608, 267, 4496, 18785, 18951, 6174, 267, 5639, 1852, 18951, 6174, 267, 4584, 543, 1747, 11608, 543, 1866, 269, 2782, 7615, 11608, 10126, 568, 4397, 547, 20441, 519, 4108, 11608, 2344, 676, 519, 1439, 540, 519, 9472, 1974, 19962, 547, 519, 4473, 538, 991, 585, 6370, 2361, 4238, 543, 8473, 13178, 563, 294, 4599, 606, 12600, 7300, 7935, 577, 675, 540, 713, 1867, 912, 1103, 2474, 540, 11585, 267, 519, 4108, 11608, 2344, 568, 5302, 7757, 883, 3345, 3013, 267, 2342, 267, 5607, 7414, 267, 5664, 5101, 1299, 4000, 267, 543, 5824, 3013, 269, 3345, 3013, 4371, 5354, 540, 519, 2344, 2671, 540, 519, 4108, 11608, 2344, 538, 476, 1001, 277, 543, 568, 2693, 547, 11677, 922, 17282, 936, 519, 9472, 1974, 269, 31056, 5092, 593, 4108, 7836, 568, 2693, 547, 5397, 519, 2208, 540, 713, 2344, 538, 519, 2282, 2104, 269, 634, 772, 2529, 269, 4371, 5354, 2344, 2671, 540, 519, 4108, 11608, 2344, 538, 3345, 3013, 1813, 547, 7372, 9541, 593, 1382, 543, 1646, 538, 519, 8878, 5823, 269, 2342, 568, 4397, 547, 581, 519, 1034, 10694, 2344, 585, 4108, 11608, 1813, 547, 4473, 538, 7678, 540, 19025, 585, 1585, 8878, 5301, 269, 18831, 971, 607, 519, 772, 14389, 1421, 5125, 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 ]
[ 585, 8479, 20661, 1040, 4173, 1433, 267, 634, 7731, 4936, 990, 281, 12653, 1457, 267, 31052, 542, 267, 543, 519, 12096, 540, 15875, 6576, 568, 513, 3803, 626, 585, 519, 476, 1001, 276, 962, 3201, 6347, 28742, 538, 27140, 13815, 269, 15516, 269, 18307, 2719, 1178, 19290, 3576, 942, 856, 540, 1200, 11112, 8430, 547, 2626, 513, 1906, 844, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 7211, 21741, 5622, 257, 607, 851, 540, 834, 11227, 1315, 17104, 1299, 21337, 1315, 661, 8527, 3821, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 24442, 6807, 267, 972, 5030, 1079, 12543, 267, 26795, 543, 6723, 269, 1358, 941, 1312, 13730, 827, 2470, 543, 6068, 8384, 1114, 2010, 540, 5017, 9683, 741, 1394, 29288, 1169, 4005, 269, 1717, 267, 789, 1185, 17804, 5380, 593, 875, 519, 3395, 2146, 1058, 1020, 780, 11321, 15925, 729, 606, 2825, 626, 945, 5156, 538, 8497, 519, 4884, 781, 2067, 5898, 269, 2701, 3576, 11348, 538, 1200, 4677, 267, 4904, 609, 5065, 2371, 543, 5810, 267, 19788, 1585, 6177, 2249, 2429, 519, 1032, 269, 4173, 2648, 585, 5017, 22755, 1200, 547, 6443, 1896, 5726, 2516, 14957, 1996, 4028, 1646, 543, 17717, 538, 519, 3148, 780, 24730, 267, 593, 519, 824, 1688, 267, 4718, 1761, 2208, 3255, 585, 24442, 6807, 269, 1261, 4941, 2413, 5656, 267, 21490, 9897, 267, 543, 2799, 5010, 2238, 547, 26016, 1125, 519, 1858, 269, 2755, 646, 15874, 519, 19259, 540, 2470, 267, 1010, 3119, 1445, 2482, 11992, 1107, 538, 3356, 543, 2804, 13884, 780, 3080, 1554, 267, 519, 2749, 14643, 9307, 4566, 547, 1628, 1007, 6703, 267, 1519, 10918, 7740, 543, 11614, 267, 2282, 519, 856, 12921, 16630, 1141, 1804, 3574, 4133, 11542, 269, 901, 3375, 13489, 1042, 909, 6404, 4664, 1851, 7264, 269, 1280, 930, 267, 899, 6723, 267, 713, 5921, 2816, 5137, 267, 1732, 5989, 267, 543, 4824, 2298, 540, 1272, 282, 855, 585, 1866, 267, 971, 607, 26795, 267, 713, 25250, 9568, 585, 519, 10347, 8134, 602, 13455, 9118, 7068, 267, 1519, 741, 11537, 26624, 2828, 780, 291, 17827, 711, 547, 1577, 713, 4755, 1510, 8380, 909, 513, 4339, 267, 26795, 678, 718, 1221, 8284, 2825, 1235, 1927, 267, 8108, 834, 24591, 3776, 28418, 2437, 513, 29065, 3350, 6322, 693, 9870, 4656, 827, 519, 1033, 3234, 757, 540, 31250, 7269, 883, 7320, 9249, 269, 11531, 267, 6723, 2968, 3238, 609, 519, 605, 23923, 618, 1249, 542, 1572, 834, 30395, 5455, 24442, 6807, 3010, 2026, 13253, 15583, 730, 1063, 519, 15852, 5011, 267, 1312, 1249, 687, 6896, 1857, 11401, 267, 4843, 3621, 2090, 267, 543, 21959, 1229, 1489, 689, 9565, 1004, 1369, 519, 2146, 269, 2311, 2053, 267, 12699, 9840, 1671, 4240, 267, 4929, 11508, 10838, 2025, 17052, 543, 3885, 7567, 780, 7628, 835, 1880, 5870, 267, 26795, 1558, 24553, 267, 513, 1762, 8004, 4171, 7279, 3366, 1200, 547, 7390, 5103, 1200, 3237, 1373, 16119, 31737, 538, 519, 12706, 5455, 24442, 6807, 3786, 269, 22628, 26795, 781, 11428, 267, 24553, 4280, 952, 1352, 1223, 948, 4688, 519, 18137, 1932, 269, 29110, 3481, 676, 1200, 15131, 267, 26795, 20888, 1200, 2898, 27329, 569, 883, 519, 16440, 3776, 28418, 2319, 780, 294, 15869, 4121, 1082, 3407, 4245, 1247, 2324, 7258, 26795, 543, 824, 15628, 269, 2701, 4362, 519, 25872, 540, 782, 2713, 7919, 543, 6956, 1946, 7863, 7733, 20974, 1229, 3564, 1175, 5329, 5017, 1472, 269, 2060, 5583, 689, 26795, 267, 24553, 2919, 1898, 1983, 899, 2792, 267, 1382, 267, 2565, 3206, 267, 543, 5718, 267, 7175, 1200, 547, 1796, 6109, 9624, 11685, 780, 4002, 519, 16212, 2427, 267, 6723, 1336, 5128, 11303, 676, 16167, 9141, 17033, 676, 7443, 24500, 2864, 982, 9758, 1416, 585, 519, 1604, 610, 922, 11317, 269, 7464, 1944, 713, 5168, 1500, 1864, 2243, 2436, 2110, 3856, 12374, 5963, 20582, 1279, 18835, 8733, 3441, 269, 4014, 1869, 11215, 540, 3356, 267, 6723, 3459, 556, 4621, 18790, 554, 7360, 3664, 1500, 1510, 6236, 741, 1764, 593, 2470, 543, 2104, 5481, 780, 30631, 1302, 267, 1310, 1454, 4901, 543, 19908, 267, 519, 2749, 14643, 8815, 547, 8190, 851, 540, 519, 28816, 1858, 543, 6451, 10357, 7888, 6272, 883, 519, 6069, 3785, 269, 5637, 5011, 9976, 11802, 267, 23344, 3787, 1562, 11548, 569, 267, 14344, 602, 14207, 26857, 3152, 2640, 982, 29134, 15984, 547, 3665, 5784, 780, 9961, 713, 1184, 267, 1312, 26795, 543, 6723, 7960, 269, 26795, 6591, 2463, 689, 1346, 3544, 1200, 5858, 267, 18445, 602, 4557, 13369, 543, 6612, 1223, 6536, 9322, 1256, 10838, 10779, 2456, 269, 30027, 3585, 267, 6723, 6444, 519, 1871, 540, 6220, 6940, 3800, 883, 4683, 4058, 267, 4180, 30398, 1063, 1480, 2115, 543, 2825, 1072, 780, 4517, 865, 267, 7064, 547, 519, 3646, 540, 2043, 899, 26795, 267, 24553, 267, 543, 5555, 6766, 676, 6723, 267, 519, 10034, 15161, 5249, 29050, 2509, 13326, 3356, 609, 11091, 269, 1306, 513, 1267, 267, 519, 6177, 5095, 4797, 547, 8853, 267, 12572, 540, 519, 10103, 6913, 1063, 18495, 543, 12624, 7186, 538, 4190, 267, 18900, 24442, 6807, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 24685, 1018, 1259, 798, 17717, 543, 20012, 1860, 2199, 6177, 5095, 888, 291, 4078, 23667, 543, 20012, 666, 723, 2942, 5222, 593, 2199, 6177, 5095, 269, 667, 4078, 23667, 18788, 4054, 543, 5932, 1930, 2127, 27507, 540, 7850, 2666, 3382, 267, 1818, 621, 2352, 585, 5017, 547, 1265, 1426, 543, 21224, 4609, 269, 3509, 6177, 2249, 4096, 593, 4104, 539, 2127, 585, 741, 6668, 267, 543, 950, 891, 2127, 616, 10032, 267, 741, 2551, 11081, 269, 8528, 31413, 1436, 666, 849, 2569, 519, 1297, 540, 5017, 269, 12124, 2127, 723, 7864, 4054, 543, 3039, 5624, 267, 799, 1797, 1447, 7226, 585, 5017, 269, 769, 1840, 267, 4683, 2127, 2356, 723, 811, 3425, 543, 10130, 267, 799, 666, 2014, 18063, 543, 5397, 5017, 2476, 689, 741, 21224, 4609, 269, 12124, 1436, 666, 849, 2569, 519, 8244, 540, 519, 2067, 1426, 2959, 602, 5017, 4096, 593, 269, 8528, 14454, 267, 17717, 543, 20012, 666, 723, 1713, 2942, 2360, 593, 2199, 6177, 5095, 14325, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 8080, 547, 938, 3184, 593, 834, 20578, 12229, 4886, 281, 1215, 898, 29452, 24371, 16534, 23433, 12694, 10590, 5620, 596, 2479, 9289, 875, 5904, 543, 2029, 666, 948, 1004, 4194, 2042, 286, 4270, 267, 835, 1259, 789, 798, 713, 568, 998, 1945, 1572, 834, 322, 2396, 3301, 1646, 2437, 1141, 1004, 1711, 2027, 2780, 3292, 1175, 585, 1978, 4213, 256, 2913, 781, 2263, 1018, 713, 1797, 543, 1946, 621, 781, 1271, 780, 5331, 596, 1378, 513, 1507, 16741, 6300, 269, 1411, 1616, 547, 1265, 1007, 2081, 547, 6133, 811, 533, 11170, 553, 543, 1832, 3950, 540, 782, 519, 9753, 3362, 269, 589, 1895, 540, 10509, 12665, 1223, 2097, 1927, 547, 1628, 513, 2189, 1982, 1175, 585, 707, 16741, 6300, 1107, 1577, 781, 1289, 621, 834, 303, 14040, 3682, 2668, 901, 1131, 581, 2688, 3301, 2919, 4481, 547, 2232, 707, 1870, 781, 2115, 780, 3383, 267, 1018, 4010, 4422, 883, 1818, 623, 14040, 3682, 630, 528, 1022, 824, 2688, 3301, 264, 513, 4641, 286, 3689, 267, 891, 10509, 627, 714, 8240, 786, 1205, 547, 917, 707, 16741, 6300, 3330, 543, 856, 269, 1358, 3513, 1451, 827, 519, 1114, 2010, 540, 533, 11170, 553, 596, 2709, 267, 875, 1082, 547, 25940, 972, 616, 267, 543, 1256, 519, 1034, 2442, 2395, 543, 2053, 585, 16741, 6455, 269, 1635, 1620, 707, 1870, 865, 1134, 267, 789, 666, 1374, 513, 1062, 602, 3032, 619, 10502, 547, 1346, 2115, 780, 9202, 2501, 519, 4058, 5123, 267, 1141, 519, 2319, 5932, 513, 29685, 24223, 3388, 789, 1616, 623, 14040, 3682, 547, 3035, 269, 5994, 11516, 4221, 856, 513, 4786, 609, 9897, 3056, 547, 1585, 18353, 899, 1931, 2921, 267, 12146, 9477, 267, 543, 6455, 8989, 282, 1142, 4155, 4564, 513, 4183, 1369, 519, 3301, 269, 3767, 4952, 952, 1169, 2582, 8265, 7944, 1185, 513, 30246, 2786, 547, 1776, 10278, 1765, 10472, 2186, 540, 4398, 5849, 5347, 22892, 950, 2679, 519, 4890, 3498, 780, 5629, 3025, 23216, 593, 519, 1544, 267, 621, 781, 942, 585, 519, 5137, 1184, 256, 4787, 2683, 9367, 946, 741, 8193, 9059, 547, 3142, 623, 14040, 3682, 547, 1272, 269, 2991, 930, 2182, 960, 267, 21350, 10042, 256, 2659, 1360, 1378, 2688, 3301, 6763, 7381, 543, 4712, 547, 10994, 707, 1870, 2591, 2212, 6823, 269, 2060, 922, 2706, 335, 10183, 267, 5883, 9753, 3587, 4674, 1652, 267, 11891, 13978, 6896, 267, 543, 2208, 3255, 10836, 20501, 982, 2479, 1354, 780, 3086, 267, 1934, 781, 1141, 1919, 1205, 2731, 3579, 269, 11426, 3301, 1646, 3549, 1419, 1246, 3964, 2553, 543, 2994, 547, 2327, 1967, 269, 1280, 3236, 267, 789, 1522, 4019, 834, 698, 850, 16097, 2580, 799, 1450, 873, 547, 3533, 4188, 543, 5386, 2389, 2317, 3785, 607, 2877, 269, 6056, 540, 621, 899, 11256, 12897, 910, 3006, 596, 991, 547, 6492, 1449, 2059, 519, 1259, 543, 17408, 752, 5820, 1354, 3478, 621, 1175, 1318, 2439, 2467, 616, 1896, 4128, 4213, 3442, 2688, 3301, 1646, 3079, 540, 9140, 840, 13402, 3681, 269, 2368, 1883, 2640, 1331, 1384, 272, 269, 2878, 8110, 2739, 3514, 4995, 4595, 2688, 3301, 568, 1500, 4481, 585, 513, 1870, 267, 621, 9607, 2189, 2115, 1732, 982, 13598, 8925, 563, 273, 269, 2878, 21798, 15807, 4995, 2755, 3355, 9276, 949, 3100, 1164, 267, 1279, 3856, 7024, 2356, 17854, 519, 5092, 1813, 547, 2799, 7607, 543, 29765, 4238, 563, 274, 269, 2878, 18183, 7808, 640, 4995, 5901, 6213, 1344, 5150, 3297, 6821, 3710, 1152, 585, 707, 3919, 563, 275, 269, 2878, 16987, 1466, 12523, 4995, 28150, 1569, 547, 4810, 4648, 945, 1174, 2872, 1655, 2853, 543, 5969, 12967, 4066, 563, 276, 269, 2878, 24965, 1027, 3790, 4995, 5484, 24674, 689, 22485, 3854, 543, 10512, 18820, 7064, 547, 3838, 2200, 543, 6791, 3177, 676, 5007, 6887, 780, 1103, 3932, 267, 2688, 3301, 1646, 2337, 4213, 7753, 9465, 1210, 16887, 18705, 2645, 3358, 547, 741, 1367, 2115, 269, 3807, 899, 2348, 513, 10531, 20131, 2306, 1565, 4443, 543, 11791, 267, 2688, 3301, 6087, 16904, 547, 8853, 538, 2221, 781, 3728, 19550, 3059, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2690, 519, 936, 476, 1015, 1296, 267, 649, 723, 1044, 3246, 2688, 3301, 1646, 543, 2533, 602, 13352, 9985, 519, 2189, 1870, 2591, 269, 1284, 948, 4213, 676, 8888, 267, 4058, 543, 2870, 2688, 3301, 3156, 543, 649, 798, 621, 5488, 543, 811, 1942, 3927, 269, 1284, 3082, 8810, 2409, 585, 3811, 3301, 5752, 543, 1788, 12032, 267, 543, 5838, 3435, 602, 616, 2386, 547, 9765, 707, 6788, 269, 3776, 9367, 616, 4966, 538, 4028, 2688, 1646, 540, 27617, 12229, 3435, 267, 7856, 602, 616, 2966, 547, 2743, 707, 3906, 1808, 4170, 543, 1870, 2115, 563, 288, 16775, 9941, 568, 606, 21369, 3301, 1646, 2754, 3246, 519, 10018, 540, 1942, 9806, 267, 667, 539, 5344, 2930, 5234, 543, 5989, 267, 2201, 942, 6765, 3301, 12032, 267, 13722, 519, 1942, 585, 17849, 267, 16715, 519, 2866, 543, 5989, 3790, 267, 21041, 543, 811, 22637, 540, 960, 267, 7457, 547, 15232, 16065, 267, 27975, 569, 4389, 519, 3854, 543, 10512, 3790, 676, 4688, 811, 982, 476, 2412, 9077, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3017, 1063, 9319, 513, 5929, 12161, 543, 1373, 12758, 609, 513, 14524, 531, 1374, 269, 589, 3730, 9133, 568, 547, 2247, 4786, 543, 2328, 1524, 519, 9028, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11293, 12455, 5669, 5071, 257, 607, 851, 540, 834, 291, 2464, 22218, 1315, 30166, 8132, 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, 594, 2760, 2219, 594, 1131, 581, 986, 6137, 827, 30897, 22199, 267, 855, 1934, 594, 993, 269, 2913, 803, 2491, 875, 594, 8694, 909, 1603, 513, 22850, 827, 891, 4241, 31759, 543, 1946, 621, 1797, 865, 1454, 547, 803, 780, 296, 729, 2141, 513, 3787, 540, 513, 562, 518, 323, 3395, 909, 630, 663, 1869, 993, 1070, 3226, 950, 621, 3357, 547, 2257, 269, 3733, 5172, 1641, 538, 1153, 814, 2141, 1044, 7350, 267, 543, 1250, 2828, 1031, 547, 24983, 602, 594, 1223, 2012, 1169, 2582, 851, 540, 513, 1591, 269, 594, 6068, 1565, 827, 782, 519, 1114, 31759, 1107, 26503, 267, 10775, 22199, 267, 1439, 32194, 1427, 545, 4918, 1107, 543, 875, 1142, 835, 5129, 922, 2189, 1909, 538, 5329, 938, 4703, 8647, 5265, 780, 3080, 1554, 267, 1247, 19855, 23749, 267, 594, 16686, 2390, 513, 1016, 1042, 9016, 6131, 7357, 547, 20868, 543, 530, 871, 344, 3621, 5013, 269, 898, 729, 972, 602, 594, 4718, 513, 7662, 585, 2576, 547, 2328, 513, 22850, 827, 30897, 22199, 269, 2311, 1101, 267, 594, 669, 3089, 1194, 547, 8885, 1107, 945, 1131, 1616, 547, 5873, 513, 22850, 827, 30897, 22199, 286, 1809, 1287, 1945, 4945, 539, 269, 3371, 729, 606, 4316, 547, 9192, 1079, 540, 1250, 6574, 18653, 1107, 2575, 543, 2257, 1107, 538, 513, 1259, 602, 1522, 2965, 7038, 1004, 269, 1656, 16310, 267, 875, 1082, 2053, 1185, 594, 24714, 602, 811, 8964, 5059, 593, 1271, 6211, 2035, 3079, 540, 1175, 11509, 3347, 543, 1570, 22590, 286, 901, 729, 1250, 4960, 547, 1689, 602, 2239, 780, 3383, 267, 11439, 609, 1250, 1702, 540, 30897, 22199, 543, 513, 8781, 7287, 547, 1711, 1945, 5963, 2027, 267, 594, 2893, 1524, 543, 3323, 13167, 1250, 20100, 269, 7638, 572, 1310, 14235, 2095, 539, 24672, 689, 1250, 4050, 267, 10503, 519, 2629, 3252, 540, 30897, 22199, 1369, 519, 1591, 543, 741, 2956, 538, 4509, 2949, 1072, 269, 1306, 594, 5249, 267, 594, 1336, 8885, 4742, 811, 543, 811, 16539, 538, 519, 1788, 1107, 713, 7012, 1405, 1175, 930, 25064, 24983, 15042, 282, 713, 729, 1148, 780, 3719, 1287, 267, 9568, 13351, 269, 3807, 607, 594, 729, 8380, 519, 18138, 18953, 593, 1250, 3172, 636, 1566, 639, 267, 1250, 2780, 1835, 14414, 267, 530, 31441, 856, 3108, 540, 2182, 960, 269, 7754, 17673, 267, 594, 1085, 10696, 998, 19307, 6119, 543, 2025, 31585, 267, 26525, 547, 32006, 720, 1022, 24790, 540, 1250, 1631, 2000, 739, 5137, 269, 1325, 553, 267, 4986, 7283, 269, 2353, 602, 4674, 267, 8854, 538, 606, 8216, 780, 7775, 865, 594, 2219, 269, 769, 1346, 8090, 5612, 1739, 519, 16154, 267, 1945, 7415, 5949, 281, 2093, 3459, 26311, 1394, 883, 1250, 2212, 269, 20514, 759, 584, 325, 3166, 267, 30053, 556, 655, 1120, 539, 267, 543, 1354, 1279, 267, 594, 7691, 602, 594, 1223, 30712, 519, 3003, 3364, 689, 3965, 269, 14568, 2943, 267, 621, 8604, 1256, 6793, 982, 1354, 1107, 15568, 676, 519, 27241, 540, 2530, 543, 10917, 1229, 609, 16012, 8990, 780, 4517, 3976, 267, 1250, 30897, 25593, 22850, 729, 4535, 1586, 267, 1732, 982, 2479, 269, 1879, 594, 6368, 11540, 621, 593, 519, 1016, 1042, 9016, 267, 519, 3210, 729, 11566, 569, 2318, 269, 4658, 26916, 711, 1152, 519, 5876, 543, 15931, 1145, 540, 519, 18405, 855, 849, 519, 5817, 5048, 827, 14120, 1419, 15763, 3344, 540, 2257, 269, 1280, 2899, 267, 621, 5433, 899, 1250, 12242, 14560, 540, 2575, 543, 7350, 1185, 23091, 16900, 267, 2870, 1945, 2484, 3152, 982, 519, 2040, 540, 922, 2694, 780, 1103, 519, 1439, 267, 1018, 3323, 607, 513, 2241, 23749, 7662, 5828, 883, 513, 3532, 12576, 540, 6043, 543, 1582, 1532, 601, 3971, 269, 3414, 14488, 267, 594, 4362, 602, 3006, 9561, 3388, 666, 17362, 519, 1259, 585, 1945, 1256, 1732, 1107, 952, 1152, 649, 546, 732, 547, 2119, 1586, 269, 1924, 1985, 942, 1272, 25001, 596, 513, 7455, 4252, 267, 3314, 1250, 9661, 540, 519, 30897, 25593, 22850, 543, 9784, 519, 4161, 2898, 27329, 569, 269, 1411, 2760, 917, 1018, 16782, 949, 10836, 689, 519, 20739, 1188, 720, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 10574, 3898, 912, 2791, 1590, 723, 1496, 299, 344, 7879, 316, 1239, 1826, 538, 519, 1739, 25166, 1679, 5401, 563, 305, 1168, 1679, 5401, 912, 4692, 596, 2328, 513, 22850, 827, 30897, 22199, 888, 19723, 572, 476, 272, 912, 8266, 523, 909, 586, 262, 718, 267, 1577, 803, 2995, 596, 1412, 321, 719, 30897, 22199, 454, 5445, 2811, 519, 2973, 5346, 12284, 267, 519, 10408, 10851, 454, 5445, 2736, 1524, 3653, 543, 10408, 11935, 454, 8794, 11476, 547, 2736, 621, 1524, 609, 8897, 454, 290, 1817, 639, 912, 299, 903, 22199, 267, 789, 2811, 519, 31759, 649, 991, 454, 17954, 1136, 1524, 3653, 609, 6909, 3432, 454, 30789, 2281, 2973, 267, 2635, 543, 2178, 454, 299, 903, 22199, 267, 789, 2811, 1141, 621, 781, 693, 267, 2097, 593, 454, 19723, 572, 476, 273, 912, 299, 903, 22199, 849, 948, 609, 12536, 454, 17954, 1136, 1524, 1426, 609, 8856, 454, 5445, 2811, 3238, 538, 1313, 15047, 344, 1932, 454, 27662, 532, 909, 8697, 2281, 267, 621, 781, 1018, 789, 798, 454, 290, 1817, 639, 912, 299, 903, 22199, 267, 789, 2811, 519, 31759, 649, 991, 454, 17954, 1136, 1524, 3653, 609, 6909, 3432, 454, 30789, 2281, 2973, 267, 2635, 543, 2178, 454, 299, 903, 22199, 267, 789, 2811, 1141, 621, 781, 693, 267, 2097, 593, 454, 19723, 572, 476, 274, 912, 15919, 1919, 666, 979, 4636, 267, 602, 781, 1100, 9114, 454, 299, 903, 23865, 4859, 3676, 267, 789, 1118, 721, 3956, 454, 2691, 30897, 22199, 666, 1405, 2736, 1524, 3653, 454, 2005, 666, 1291, 547, 4576, 267, 543, 602, 781, 513, 1979, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 476, 275, 269, 273, 11150, 585, 28304, 519, 667, 12495, 1944, 540, 10871, 4750, 1143, 692, 7072, 692, 2026, 649, 5941, 538, 519, 3105, 3296, 267, 519, 17498, 1944, 540, 2199, 19761, 814, 1185, 1713, 4539, 585, 2199, 2797, 6278, 269, 2060, 7864, 2200, 13991, 547, 8720, 2199, 3377, 267, 2950, 616, 1447, 5483, 827, 1271, 2152, 543, 3664, 1373, 1500, 693, 519, 2199, 1377, 269, 901, 3668, 540, 1344, 666, 1291, 547, 8519, 7589, 538, 2199, 6214, 267, 607, 1134, 607, 606, 2799, 2631, 540, 771, 28947, 689, 835, 779, 2146, 269, 1717, 267, 972, 616, 2994, 602, 666, 948, 11574, 891, 2942, 2360, 543, 2327, 602, 2199, 19761, 5170, 547, 1404, 513, 4105, 1909, 538, 938, 9111, 269, 769, 713, 3296, 267, 649, 786, 2263, 930, 540, 891, 2994, 538, 1469, 780, 26322, 8081, 543, 8750, 532, 17738, 692, 3080, 1761, 3070, 547, 519, 17498, 1944, 540, 2199, 19761, 568, 547, 2333, 2146, 1489, 543, 7616, 585, 2199, 3377, 3906, 269, 901, 666, 1491, 1082, 3029, 267, 1519, 1367, 23190, 267, 5748, 14828, 267, 543, 2229, 24307, 269, 1635, 3246, 3606, 2883, 2200, 267, 891, 2959, 666, 948, 2199, 3377, 3906, 2226, 741, 5234, 532, 2157, 543, 3136, 547, 3132, 1164, 7779, 19761, 780, 2690, 1383, 267, 538, 3210, 547, 19394, 10229, 8907, 267, 1082, 14786, 723, 5828, 547, 5467, 23190, 607, 513, 1259, 547, 3251, 513, 15615, 269, 634, 26851, 267, 513, 5177, 2861, 11356, 267, 814, 1044, 3226, 3811, 538, 713, 2543, 267, 9870, 6634, 540, 9489, 689, 3988, 1472, 519, 1158, 998, 922, 15376, 1982, 269, 6684, 267, 1160, 14276, 320, 267, 513, 18758, 3329, 894, 19761, 3919, 267, 12346, 8185, 593, 5748, 14828, 543, 1367, 23190, 547, 2508, 922, 960, 780, 1103, 1840, 547, 1463, 2883, 1489, 267, 2950, 666, 849, 1683, 824, 2010, 540, 6351, 547, 2199, 3377, 3906, 269, 1280, 1383, 267, 789, 666, 2709, 5604, 2230, 610, 3937, 267, 2671, 1239, 543, 2200, 267, 610, 7649, 609, 20859, 593, 8989, 3785, 269, 1452, 21769, 711, 1152, 948, 1489, 2199, 19761, 855, 849, 6536, 513, 6793, 2631, 540, 2146, 543, 3838, 3483, 780, 5194, 9621, 2203, 585, 5885, 2199, 19761, 568, 519, 5137, 540, 1857, 31076, 10473, 6131, 9003, 547, 2199, 3377, 269, 2755, 1082, 1857, 5925, 543, 8613, 10473, 4867, 3132, 930, 2199, 5752, 267, 1906, 1445, 14311, 593, 713, 1858, 269, 589, 6131, 2199, 3377, 6728, 1223, 6445, 606, 1271, 7934, 538, 3795, 543, 4196, 607, 513, 3407, 4199, 585, 7264, 269, 2290, 1383, 540, 713, 1935, 568, 654, 293, 312, 296, 267, 513, 1857, 31076, 6728, 538, 4095, 24550, 267, 18518, 267, 799, 9250, 513, 3232, 2199, 3377, 1397, 538, 476, 1001, 280, 780, 7661, 267, 6608, 666, 849, 1404, 513, 1909, 538, 5885, 2199, 19761, 269, 2368, 2477, 267, 971, 607, 13785, 543, 16157, 267, 723, 8045, 4507, 602, 2047, 2508, 2199, 3377, 3906, 269, 2755, 713, 1826, 540, 6304, 949, 6318, 4145, 827, 2229, 3310, 936, 519, 2046, 267, 621, 666, 581, 11295, 538, 2081, 602, 2149, 21107, 7115, 269, 1280, 1383, 267, 7482, 1223, 581, 7856, 998, 4830, 8041, 610, 13950, 676, 3791, 18407, 3906, 269, 17968, 267, 6608, 1223, 10996, 643, 1125, 4357, 5092, 538, 2199, 19761, 998, 3454, 17099, 610, 824, 6127, 780, 6124, 6355, 17738, 543, 16743, 692, 4407, 2146, 1489, 543, 7616, 3631, 666, 948, 2844, 4540, 2199, 3377, 3906, 267, 5647, 543, 1007, 1870, 3631, 616, 849, 2877, 547, 2232, 519, 3597, 3123, 540, 519, 2872, 781, 7771, 269, 3371, 267, 649, 1865, 1896, 4485, 602, 3180, 9153, 780, 5575, 267, 2199, 3377, 3906, 666, 4603, 609, 1114, 8907, 12535, 3564, 2757, 10229, 543, 20478, 3631, 269, 1280, 3236, 267, 789, 1522, 2015, 5356, 23032, 1543, 267, 5065, 10229, 267, 610, 6216, 539, 1543, 2533, 547, 4213, 3168, 547, 3914, 2199, 9458, 269, 1358, 1223, 849, 2263, 4244, 14104, 3681, 267, 971, 607, 7715, 4206, 27448, 11044, 610, 1764, 10115, 780, 13553, 267, 2199, 3377, 3906, 666, 15407, 2029, 547, 2087, 4398, 267, 2569, 3790, 267, 543, 4228, 741, 3914, 269, 1280, 1383, 267, 789, 1522, 9772, 12957, 2645, 547, 20928, 6296, 4247, 267, 971, 607, 1239, 7127, 610, 1514, 2923, 2359, 269, 1358, 1223, 849, 1902, 538, 5841, 4987, 630, 9590, 264, 4066, 547, 5659, 1804, 14449, 267, 2697, 3466, 267, 543, 5352, 1650, 2093, 269, 3958, 267, 2199, 3377, 3906, 666, 946, 3059, 5867, 547, 15814, 741, 1543, 811, 4922, 267, 8757, 1007, 9458, 945, 949, 711, 8532, 2757, 1820, 610, 13739, 2923, 780, 23612, 267, 2199, 3377, 3906, 666, 12840, 609, 1142, 824, 547, 7535, 2200, 267, 2671, 1655, 2853, 267, 543, 1020, 5499, 3435, 547, 1455, 2591, 269, 6201, 540, 971, 5698, 1331, 12352, 1063, 12721, 14786, 267, 4745, 3329, 894, 8989, 3785, 267, 543, 6237, 931, 677, 807, 5059, 593, 2866, 543, 3318, 1646 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1101, 824, 982, 519, 2012, 269, 634, 1297, 540, 22571, 538, 606, 11046, 568, 5219, 547, 607, 519, 10570, 1297, 540, 602, 3693, 563, 1103, 1320, 1682, 517, 3370, 513, 6609, 540, 1010, 4528, 540, 519, 11046, 267, 4122, 1634, 607, 519, 834, 680, 636, 30077, 532, 2203, 563, 763, 2178, 3196, 8952, 519, 22571, 543, 25268, 1927, 538, 519, 11046, 269, 4935, 267, 1142, 1114, 1826, 540, 11046, 666, 581, 4857, 538, 519, 5119, 607, 519, 9133, 568, 6410, 2066, 519, 2627, 269, 1284, 666, 849, 2272, 585, 930, 3601, 540, 26775, 269, 11906, 6547, 7361, 4125, 8444, 610, 2516, 540, 8444, 543, 519, 4205, 1063, 741, 9211, 563, 301, 6334, 519, 1657, 568, 25127, 543, 21533, 786, 2154, 513, 1697, 2079, 547, 581, 2944, 2663, 269, 4595, 9211, 1065, 601, 1142, 824, 30402, 1725, 13443, 11046, 1775, 302, 272, 543, 11046, 1775, 302, 273, 616, 1631, 13745, 1927, 676, 519, 3196, 13042, 21598, 269, 570, 6260, 7154, 314, 12575, 9948, 17266, 12249, 11800, 476, 271, 563, 763, 18085, 850, 591, 568, 3335, 13339, 610, 13339, 6491, 20183, 609, 513, 9133, 8953, 540, 22441, 593, 519, 1931, 540, 6289, 18852, 269, 1323, 13672, 9325, 568, 1500, 909, 540, 1079, 22571, 543, 1079, 25268, 267, 782, 4371, 1927, 676, 519, 1482, 2178, 6046, 3196, 602, 25907, 519, 13540, 267, 2687, 547, 519, 16962, 6997, 563, 3383, 547, 4308, 609, 713, 789, 1500, 513, 6216, 1007, 1259, 547, 2070, 2339, 543, 1648, 267, 543, 789, 1572, 621, 7061, 3069, 269, 5221, 519, 6482, 540, 513, 11979, 5365, 568, 12155, 547, 6846, 543, 20847, 267, 1970, 20765, 18085, 850, 951, 1775, 10611, 9801, 5112, 568, 513, 2875, 540, 774, 1682, 517, 563, 3080, 1554, 646, 729, 2324, 593, 519, 1773, 636, 623, 3291, 532, 2203, 543, 6430, 547, 9496, 513, 2318, 5279, 11237, 693, 803, 538, 7108, 674, 11798, 269, 8342, 5500, 3364, 267, 646, 1219, 21124, 1055, 1250, 13540, 799, 646, 1705, 711, 917, 594, 1185, 269, 700, 13806, 585, 803, 267, 602, 621, 1219, 21124, 1055, 1250, 4099, 267, 2705, 267, 621, 729, 563, 1892, 519, 1648, 540, 606, 6475, 568, 5462, 676, 922, 1533, 3040, 1403, 972, 568, 1152, 835, 6475, 538, 519, 11046, 267, 519, 1648, 5673, 593, 562, 4805, 3040, 1403, 972, 616, 811, 9211, 267, 789, 2170, 630, 10517, 601, 1142, 824, 1070, 543, 865, 1114, 2829, 723, 1114, 19367, 3848, 476, 273, 476, 279, 26425, 543, 4427, 9917, 961, 2037, 25489, 2480, 11490, 6041, 540, 563, 27793, 630, 290, 264, 568, 538, 6828, 10001, 320, 267, 2495, 621, 814, 2185, 9211, 538, 922, 9018, 7387, 269, 4935, 547, 1831, 513, 834, 327, 7026, 11046, 2580, 12539, 666, 2901, 2744, 610, 6336, 2185, 9211, 269, 1635, 4687, 519, 9211, 609, 824, 8444, 267, 12539, 666, 1831, 513, 6126, 11046, 563, 531, 1181, 2299, 11423, 543, 7962, 3539, 922, 9018, 7387, 267, 607, 609, 519, 2185, 3289, 5766, 839, 3254, 538, 7612, 476, 280, 23130, 8952, 519, 11046, 1927, 286, 5808, 7824, 11046, 543, 922, 4229, 269, 1433, 20646, 2880, 9050, 286, 634, 11046, 568, 16922, 540, 1614, 2101, 5536, 1765, 2889, 27971, 267, 25268, 543, 9211, 563, 2467, 616, 2185, 4229, 630, 16978, 11424, 267, 16200, 267, 31808, 267, 543, 32322, 264, 602, 616, 3743, 585, 519, 2623, 540, 519, 5536, 543, 3976, 1832, 519, 11046, 1927, 11065, 523, 568, 1869, 8237, 593, 713, 835, 267, 4647, 7824, 269, 2311, 558, 8092, 281, 589, 2871, 3660, 12875, 3414, 519, 5899, 1052, 630, 4517, 6764, 1601, 4601, 9540, 264, 2622, 540, 3487, 1834, 8212, 13290, 547, 4001, 721, 827, 1134, 267, 9325, 6323, 563, 11854, 32496, 267, 13744, 19643, 10290, 3217, 721, 593, 513, 4663, 540, 519, 1114, 5536, 538, 519, 9208, 7844, 540, 6323, 267, 6941, 519, 1614, 4909, 4229, 602, 2170, 609, 873, 267, 543, 1287, 21040, 938, 20030, 676, 1315, 276, 7868, 1079, 4229, 602, 616, 1034, 3743, 585, 19545, 519, 11046, 1927, 616, 519, 2178, 3196, 543, 519, 19545, 3196, 563, 763, 13590, 3196, 15320, 689, 519, 824, 1614, 4229, 538, 602, 538, 666, 1312, 4482, 543, 1065, 601, 269, 4014, 596, 949, 581, 1034, 5432, 609, 519, 3196, 540, 8904, 267, 8904, 568, 513, 5266, 23696, 3196, 1369, 519, 11046, 269, 0, 763, 13241, 17583, 2488, 3318, 1646, 547, 7668, 7855, 543, 6107, 4600, 676, 4687, 13241, 1543, 1702, 267, 3384, 13241, 2853, 267, 543, 2679, 6015, 547, 1683, 811, 6209, 13241, 2833, 585, 1453, 563, 18814, 547, 13044, 268, 866, 267, 938, 1699, 12333, 4886, 3255, 723, 17146, 547, 5691, 3255, 563, 10000, 5765, 5680, 21577, 1331, 912, 12812, 593, 1357, 14373, 2140, 547, 11578, 563, 16032, 13756, 585, 30482, 4804, 281, 4864, 476, 736, 267, 476, 1708, 271, 476, 275, 281, 876, 533, 6230, 269, 12409, 5238, 543, 6107, 1606, 6326, 3906, 616, 538, 519, 1184, 540, 8159, 519, 1655, 2081, 547, 556, 13449, 3506, 585, 1053, 543, 1683, 3872, 3255, 585, 6107, 538, 2922, 543, 2635, 2081, 538, 3210, 547, 519, 5046, 268, 866, 1072, 6433, 540, 476, 1708, 271, 269, 2290, 2856, 3478, 513, 2603, 540, 3007, 543, 7156, 568, 519, 13345, 540, 9205, 1565, 5624, 269, 15012, 721, 547, 1451, 811, 827, 519, 2640, 540, 543, 1655, 2853, 585, 9205, 1565, 543, 2253, 4058, 875, 596, 666, 8415, 9205, 1565, 5624, 547, 9797, 1764, 519, 6107, 543, 3885, 596, 4196, 563, 4462, 680, 28289, 32017, 281, 5181, 476, 1704, 267, 476, 1708, 271, 476, 275, 281, 876, 533, 6230, 269, 634, 18518, 21864, 4643, 585, 8950, 3163, 4065, 538, 18518, 2829, 968, 5475, 4873, 476, 1789, 267, 476, 1708, 272, 267, 1169, 1153, 538, 18518, 786, 1331, 2780, 2257, 538, 519, 1153, 779, 6437, 585, 1053, 538, 9656, 998, 3446, 476, 1321, 1848, 3502, 782, 2780, 2257, 2069, 2115, 547, 581, 6026, 1210, 5907, 3457, 269, 15012, 721, 547, 1451, 811, 827, 875, 547, 1205, 513, 7914, 11034, 593, 7598, 2780, 2257, 3872, 3255, 998, 519, 946, 540, 3946, 6823, 796, 680, 28289, 8193, 2238, 563, 23727, 543, 17402, 281, 5239, 476, 1428, 267, 476, 1708, 271, 476, 275, 281, 876, 533, 6230, 269, 4635, 3332, 4296, 538, 14966, 609, 13241, 2833, 11942, 1719, 538, 13241, 10459, 267, 7512, 7279, 543, 5876, 267, 543, 2337, 1053, 1020, 2318, 13241, 9163, 269, 15012, 721, 547, 1451, 811, 827, 519, 2640, 540, 8220, 13241, 543, 1453, 779, 3332, 543, 875, 547, 1711, 2500, 13241, 4245, 1759, 593, 1453, 779, 3332, 563, 23727, 543, 623, 13993, 4045, 585, 11773, 281, 5437, 476, 866, 267, 476, 1708, 271, 476, 275, 281, 876, 533, 6230, 269, 15012, 721, 547, 1451, 811, 827, 13241, 543, 5741, 15369, 4804, 267, 875, 13241, 267, 5741, 15369, 4804, 267, 543, 519, 4702, 1374, 1184, 616, 13988, 543, 666, 581, 1031, 1927, 267, 543, 875, 547, 2936, 5741, 15369, 4804, 3255, 998, 3946, 6823, 13241, 2833, 585, 6107, 563, 32153, 4886, 3718, 10914, 454, 2171, 917, 2257, 267, 2029, 267, 4702, 267, 543, 2979, 723, 606, 2479, 2987, 920, 2084, 1909, 538, 938, 1158, 267, 543, 13241, 2833, 1683, 606, 4316, 547, 4497, 1053, 2038, 538, 741, 4081, 15322, 538, 1931, 547, 2333, 1719, 538, 543, 1628, 2318, 8456, 4724, 13241, 10459, 269, 634, 13241, 17583, 5360, 9323, 543, 9360, 1699, 13241, 6437, 543, 3292, 269, 1284, 2503, 547, 2709, 538, 16512, 543, 5691, 19113, 3255, 538, 519, 12096, 563, 11520, 22544, 20644, 902, 585, 476, 1708, 271, 3417, 912, 23727, 585, 4653, 543, 8751, 6563, 454, 23727, 543, 7186, 1107, 634, 17828, 26969, 454, 23727, 543, 623, 13993, 4045, 585, 11773, 454, 8777, 1645, 4841, 630, 312, 1926, 264, 609, 519, 7177, 5071, 6713, 454, 23727, 16797, 654, 1231, 454, 23727, 12333, 4886, 3718, 10914, 454, 289, 18115, 5050, 7734, 281, 4635, 5753, 779, 9085, 547, 15474, 569, 8177, 15272, 454, 1692, 547, 21118, 513, 7731, 13241, 7926, 454, 29753, 513, 13241, 3427, 14740, 454, 23727, 676, 519, 10606, 454, 763, 2866, 814, 5140, 1543, 543, 1134, 19550, 269, 4911, 11253, 3358, 519, 6881, 547, 938, 2115, 543, 3177, 938, 3450, 5159, 609, 3730, 2326, 602, 5401, 2417, 3206, 593, 875, 547, 11753, 519, 8551, 538, 3450, 13241, 2035, 269, 1107, 1773, 16211, 623, 698, 323, 6501, 267, 18947, 10615, 540, 15789, 267, 8551, 585, 4804, 454, 303, 833, 24104, 1222, 814, 24574, 1229, 609, 634, 13241, 17583, 585, 4832, 5752, 267, 2361, 15143, 267, 1310, 17469, 15731, 267, 13241, 6539, 3892, 267, 543, 3318, 1646, 269, 1358, 3136, 547, 581, 15826, 538, 5870, 519, 2115, 540, 938, 1053, 267, 3610, 267, 543, 938, 2146, 676, 5356, 3638, 267, 2502, 3255, 538, 782, 602, 789, 798, 269, 2353, 5234, 568, 18164, 538, 13241, 3450, 543, 1565, 543, 4422, 1657, 543, 3564, 547, 1118, 13241, 2069, 12581, 269, 1107, 8210, 514, 715, 11336, 267, 10588, 13241, 3213, 778, 693, 9049, 291, 623, 833, 24104, 1222, 454, 763, 2319, 693, 634, 13241, 17583, 5612, 7722, 782, 5234, 2818, 538, 6209, 5188, 543, 2238, 602, 3927, 2813, 513, 2631, 540, 9562, 538, 13241, 2069, 585, 782, 1053, 269, 3414, 513, 3126, 540, 10853, 1806, 267, 938, 5234, 5433, 6462, 543, 9415, 547, 2263, 1310, 519, 3318, 1646, 1995, 269, 1107, 18238, 5576, 558, 1067, 267, 25867, 267, 853, 269, 3933, 3821, 7826, 3427 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 293, 11113, 543, 519, 3193, 269, 9978, 6176, 29034, 12935, 630, 6224, 476, 274, 27846, 264, 568, 835, 540, 519, 1034, 10731, 5214, 9362, 538, 519, 5790, 630, 1410, 3865, 539, 1152, 676, 15655, 1040, 14271, 11618, 281, 4856, 16476, 4788, 269, 17449, 2068, 281, 4779, 6122, 330, 21485, 340, 2000, 518, 540, 267, 17640, 547, 267, 610, 7768, 540, 6675, 563, 5226, 714, 707, 1053, 593, 1772, 8863, 274, 15121, 21069, 610, 6348, 335, 6897, 286, 634, 9868, 267, 540, 1576, 267, 1373, 519, 7250, 781, 269, 1299, 26289, 274, 282, 261, 3953, 282, 31580, 545, 9511, 568, 519, 1353, 540, 22762, 1845, 602, 2097, 689, 7223, 267, 538, 1880, 267, 689, 14034, 269, 634, 16387, 1377, 6227, 2798, 267, 3515, 267, 14742, 267, 7285, 267, 10580, 267, 12730, 267, 9076, 559, 831, 1023, 267, 519, 25355, 14497, 267, 598, 545, 6810, 267, 15997, 543, 811, 269, 589, 2681, 1652, 267, 6757, 267, 1166, 30100, 5277, 267, 8863, 476, 274, 15121, 267, 1031, 607, 606, 30624, 872, 2763, 267, 513, 2489, 19857, 267, 513, 4492, 267, 543, 513, 3954, 4405, 656, 585, 2802, 2643, 4568, 269, 476, 274, 267, 31003, 15055, 269, 476, 271, 326, 540, 8863, 274, 15121, 14116, 264, 529, 10920, 12723, 676, 713, 5114, 693, 3586, 563, 301, 2088, 594, 8678, 17449, 16890, 547, 1265, 606, 4277, 2816, 1107, 543, 594, 18423, 585, 519, 6612, 547, 1628, 1945, 6209, 256, 634, 3844, 2915, 2742, 540, 7636, 7350, 6257, 519, 1184, 538, 799, 5027, 568, 1098, 8282, 883, 10717, 267, 1287, 12261, 883, 3940, 269, 3619, 547, 707, 10531, 32505, 3774, 547, 1265, 513, 5578, 602, 5654, 4277, 267, 610, 2824, 513, 5578, 1544, 602, 20383, 547, 707, 1837, 267, 1533, 4441, 267, 610, 13387, 1449, 269, 476, 1428, 544, 11169, 8863, 274, 15121, 563, 892, 2561, 18770, 823, 968, 10481, 5852, 667, 1662, 3884, 261, 4375, 282, 339, 707, 6093, 11733, 2861, 3014, 267, 621, 2965, 3340, 5578, 593, 1283, 540, 1434, 12557, 269, 1547, 476, 4200, 20430, 593, 4119, 585, 25515, 543, 15692, 267, 543, 585, 4586, 19370, 476, 6812, 275, 281, 24951, 1290, 1115, 5455, 19171, 609, 8331, 6611, 8154, 4841, 5635, 2947, 635, 1115, 543, 3313, 2450, 9832, 543, 21159, 269, 589, 3008, 5556, 745, 775, 269, 29034, 12935, 1923, 8863, 274, 15121, 610, 8863, 275, 302, 1923, 595, 2839, 476, 6434, 278, 910, 2497, 267, 3114, 4408, 267, 2168, 543, 3114, 3601, 267, 8760, 267, 24977, 267, 3332, 267, 6211, 2238, 267, 3106, 269, 18628, 814, 1279, 1044, 835, 540, 519, 1883, 7740, 538, 782, 891, 3344, 540, 9511, 269, 19129, 1036, 709, 701, 476, 1015, 1299, 22001, 282, 638, 6346, 1696, 735, 677, 324, 11552, 16403, 328, 1054, 261, 22446, 282, 4302, 1696, 476, 273, 18013, 1209, 338, 632, 563, 273, 264, 12433, 519, 5021, 2179, 540, 1216, 602, 666, 581, 4646, 269, 769, 5409, 26382, 9511, 267, 998, 513, 1448, 711, 593, 269, 594, 3533, 1491, 596, 998, 875, 547, 2721, 519, 11066, 12856, 540, 8863, 274, 15121, 630, 300, 996, 12935, 610, 18861, 4568, 1040, 1299, 26289, 274, 282, 261, 3953, 282, 300, 12817, 12269, 666, 581, 678, 1057, 609, 5182, 5250, 282, 4525, 1141, 519, 2199, 5860, 568, 1164, 666, 12900, 896, 741, 1378, 8904, 547, 1106, 6801, 269, 589, 11140, 568, 606, 30788, 9243, 1895, 540, 1079, 610, 811, 8444, 4371, 1927, 676, 3114, 7554, 269, 634, 1034, 1455, 2010, 540, 9511, 616, 7077, 9511, 630, 1372, 2718, 609, 3615, 899, 519, 1448, 267, 1899, 267, 5858, 267, 6906, 267, 543, 20372, 1070, 4396, 9511, 630, 1372, 2718, 609, 3615, 899, 519, 1899, 267, 12106, 267, 543, 4874, 28353, 1070, 543, 20085, 9511, 630, 1372, 2718, 609, 3615, 899, 519, 20085, 6906, 543, 269, 589, 8701, 19857, 267, 8715, 12935, 9715, 519, 2012, 3574, 4568, 1317, 621, 729, 2899, 3812, 30109, 676, 519, 16160, 1019, 269, 22417, 10101, 8863, 274, 15121, 547, 18253, 610, 18253, 8863, 274, 15121, 547, 10101, 563, 2005, 568, 3989, 547, 581, 476, 272, 270, 1321, 540, 519, 2527, 540, 835, 11046, 540, 3327, 268, 1321, 543, 538, 4587, 1568, 568, 849, 28484, 607, 834, 600, 340, 2668, 17449, 2068, 1022, 2068, 538, 799, 519, 31630, 666, 581, 14360, 547, 513, 2582, 3114, 6219, 269, 634, 7636, 2527, 630, 332, 264, 568, 519, 2527, 540, 513, 2016, 11140, 281, 621, 568, 6027, 538, 546, 5306, 976, 630, 291, 320, 610, 579, 1916, 4517, 519, 546, 22929, 1486, 847, 528, 568, 1100, 9868, 269, 15439, 7150, 267, 713, 28070, 2022, 3634, 568, 281, 998, 513, 1448, 711, 593, 513, 2016, 1899, 972, 568, 4010, 835, 1899, 6252, 547, 519, 2016, 1899, 269, 1403, 519, 6871, 6556, 540, 269, 476, 1822, 575, 3732, 540, 8715, 12935, 267, 8863, 274, 15121, 267, 729, 12318, 539, 538, 519, 4527, 540, 4430, 5135, 538, 513, 10514, 1608, 528, 9014, 5627, 476, 6110, 271, 575, 540, 1216, 269, 634, 2539, 519, 533, 298, 320, 267, 519, 6793, 519, 3679, 563, 300, 12817, 16754, 281, 8863, 275, 302, 281, 17449, 13379, 630, 326, 8276, 565, 264, 476, 3953, 269, 570, 261, 23056, 282, 333, 590, 17554, 352, 333, 1912, 17554, 358, 332, 281, 29034, 12935, 267, 595, 12782, 495, 333, 595, 261, 28192, 282, 978, 715, 724, 328, 12782, 485, 335, 2372, 344, 595, 261, 18597, 282, 577, 281, 476, 14321, 298, 326, 270, 3220, 2473, 340, 17554, 354, 339, 2473, 12782, 358, 281, 476, 17554, 351, 681, 17554, 511, 335, 270, 17111, 476, 12782, 357, 978, 667, 12782, 354, 978, 910, 700, 261, 23470, 282, 667, 2426, 631, 261, 28192, 282, 328, 1912, 12782, 499, 4437, 17554, 379, 333, 667, 261, 27149, 282, 978, 2558, 784, 1912, 261, 26237, 282, 978, 774, 261, 26801, 282, 715, 724, 328, 12782, 485, 332, 267, 17487, 494, 17554, 371, 322, 4437, 12782, 485, 339, 269, 8863, 274, 4596, 15121, 8863, 274, 15121, 8863, 274, 4596, 302, 268, 8863, 274, 306, 268, 8863, 274, 302, 269, 898, 568, 1373, 2808, 607, 513, 1761, 7250, 2707, 538, 4492, 1591, 2029, 1813, 547, 922, 1164, 670, 14727, 5223, 267, 1970, 4412, 3748, 585, 865, 582, 5108, 267, 5266, 1970, 6963, 532, 2837, 543, 922, 269, 1284, 948, 12478, 8853, 538, 606, 15345, 14269, 19305, 1158, 676, 5935, 543, 4657, 1004, 779, 2623, 693, 623, 643, 4973, 16474, 757, 2059, 519, 27619, 17423, 17714, 269, 476, 3393, 326, 2910, 14116, 264, 616, 4847, 547, 2746, 269, 29034, 12935, 568, 811, 15755, 982, 1216, 1317, 922, 31669, 3490, 9852, 996, 6448, 264, 568, 21260, 982, 1216, 261, 4375, 282, 338, 31669, 3490, 630, 5139, 6918, 728, 1916, 19352, 902, 543, 5961, 616, 811, 982, 6071, 610, 23788, 538, 3621, 11407, 269, 13507, 1227, 11783, 22526, 853, 584, 332, 17449, 15328, 27027, 19467, 5647, 543, 2773, 547, 1683, 20697, 267, 6484, 543, 20344, 16657, 563, 300, 12817, 4915, 568, 513, 3376, 2361, 267, 1141, 2168, 267, 3114, 267, 6211, 267, 6915, 514, 26197, 543, 2564, 2553, 616, 1031, 547, 4766, 7636, 3889, 543, 6127, 267, 2697, 4909, 7636, 543, 4719, 6959, 540, 2068, 267, 543, 547, 1020, 7636, 7459, 547, 2953, 873, 269, 476, 7918, 260, 538, 519, 2063, 476, 2190, 3108, 269, 1284, 946, 4359, 2257, 5820, 602, 616, 2635, 267, 7067, 543, 2922, 267, 14637, 2864, 982, 22215, 2713, 2960, 269, 808, 1372, 522, 581, 345, 8663, 341, 537, 267, 12659, 2129, 565, 1157, 344, 533, 261, 18597, 282, 1013, 537, 322, 261, 26801, 282, 737, 777, 16433, 340, 267, 683, 727, 7999, 384, 505, 544, 261, 26801, 282, 338, 527, 601, 333, 537, 521, 642, 617, 537, 269, 16387, 18185, 269, 1290, 593, 519, 476, 1240, 628, 267, 519, 2376, 2630, 3091, 6169, 540, 1010, 1554, 1310, 3409, 563, 294, 709, 701, 632, 8641, 1143, 324, 1696, 3525, 261, 22001, 282, 331, 5314, 20703, 261, 22001, 282, 1529, 18311, 269, 6423, 811, 7044, 585, 932, 274, 2129, 269, 17449, 3252, 3622, 5330, 547, 2238, 602, 666, 581, 5340, 676, 1367, 5444, 2472, 630, 1775, 563, 10527, 1655, 3364, 827, 23497, 17449, 779, 19777, 839, 832, 814, 1044, 519, 8897, 540, 946, 269, 7490, 5512, 621, 547, 3136, 269, 11822, 7636, 6878, 2874, 540, 6675, 538, 799, 519, 8444, 616, 8678, 676, 2178, 32128, 7554, 269, 769, 1840, 547, 7421, 1883, 2035, 538, 519, 2361, 267, 15806, 723, 655, 23903, 2013, 2090, 689, 7636, 7350, 547, 2232, 811, 2489, 1170, 1132, 538, 519, 6138, 540, 2257, 267, 971, 607, 5786, 267, 7778, 267, 2169, 1905, 15684, 267, 543, 17634, 269, 16952, 2042, 3773, 602, 4125, 11810, 547, 3313, 519, 2557, 6361, 268, 4219, 540, 519, 16880, 3845, 607, 596, 1689, 707, 4463, 269, 3955, 4167, 532, 27116, 1218, 14497, 476, 275, 269, 1547, 476, 2190, 270, 278, 16387, 6435, 563, 22706, 1377, 281, 476, 279, 268, 1015, 1923, 11762, 281, 16387, 282, 1612, 718, 1314, 282, 12980, 9046, 476, 1556, 1215, 1164, 568, 606, 28050, 7702, 286, 32163, 261, 22001, 282, 1147, 682, 3135, 632, 10370, 517, 24728, 6441, 320, 8935, 320, 267, 561, 685, 9743, 26623, 632, 932, 574, 773, 1696, 632, 12713, 577, 574, 773, 20703, 261, 22001, 282, 1529, 320, 2231, 1696, 10016, 1090, 565, 261, 22001, 282, 1529, 320, 2231, 630, 2975, 289, 5960, 264, 546, 261, 22001, 282, 12323, 632, 476, 275, 4691, 21304, 630, 331, 685, 26536, 527, 261, 22001, 282, 19863, 324, 24527, 10370, 517, 272, 267, 682, 31368, 11965, 267, 561, 685, 292, 1723, 548, 10016, 261, 22001, 282, 4471, 675, 632, 932, 574, 773, 8713, 292, 6441, 27267, 1696, 561, 685, 2562, 6347, 6441, 27267, 1040, 5590, 909, 1079, 15821, 4834, 267, 835, 11589, 519, 2527, 540, 3327, 8166, 3812, 538, 2474, 540, 1142, 556, 26047, 543, 519, 824, 11589, 519, 2527, 540, 3732, 14616, 538, 2474, 540, 1142, 556, 26047, 269, 17449, 4214, 281, 476, 272, 563, 10481, 5852, 667, 1662, 568, 513, 3126, 540, 2947, 3381, 3756, 2919, 676, 13785, 2861, 17354, 7917, 5440, 8403, 267, 543, 3370, 676, 1010, 2754, 267, 7605, 12749, 10632, 269, 15656, 744, 24202, 327, 2795, 1145, 344, 20653, 553, 1723, 269, 32114, 602, 972, 568, 1100, 1587, 693, 519, 4098, 540, 519, 5114, 543, 602, 693, 11466, 2910, 815, 476, 271, 563, 272, 14674, 3615, 538, 519, 1604, 1210, 4408, 540, 5546, 267, 543, 4766, 519, 3448, 7158, 540, 891, 3615, 1210, 2474, 971, 607, 1657, 267, 2630, 267, 22290, 267, 538, 4395, 540, 267, 3297, 267, 543, 1985, 547, 269, 1299, 26289, 274, 282, 261, 3953, 282, 288, 7848, 540, 476, 272, 269, 5843, 18614, 2709, 3173, 606, 4781, 547, 15476, 593, 513, 1507, 6712, 540, 1239, 538, 513, 5618, 1867, 1510, 519, 991, 547, 4228, 883, 513, 2407, 1382, 2376, 563, 300, 12817, 11020, 568, 606, 1930, 1569, 267, 9263, 24595, 4760, 602, 15109, 22251, 593, 782, 3344, 540, 2090, 593, 519, 8401, 1062, 693, 519, 7636, 267, 10408, 267, 543, 1949, 1377, 3246, 513, 8468, 585, 3744, 547, 5968, 741, 4681, 269, 1879, 596, 1404, 16387, 667, 1662, 700, 924, 269, 1548, 616, 519, 2596, 3741, 540, 9511, 286, 6423, 2407, 1592, 593, 1353, 563, 13528, 10358, 666, 581, 1031, 547, 1265, 519, 15943, 543, 1858, 540, 1079, 8820, 5546, 267, 971, 607, 29977, 543, 10580, 269, 476, 272, 2776, 1613, 338, 476, 274, 269, 634, 1858, 540, 6128, 11341, 547, 519, 1353, 540, 2230, 543, 519, 3347, 1063, 2798, 269, 21408, 559, 831, 1023, 630, 305, 327, 4861, 639, 267, 23155, 6945, 267, 3092, 264, 476, 273, 269, 17449, 8819, 25348, 1382, 6238, 538, 519, 10051, 1141, 22730, 1353, 875, 1426, 16919, 543, 31136, 896, 1114, 5210, 267, 12503, 543, 824, 269, 1280, 936, 476, 1839, 1296, 267, 13106, 334, 17449, 15733, 814, 24574, 1229, 14311, 609, 1072, 1416, 7426, 547, 5838, 9422, 3435, 540, 519, 5207, 12117, 269, 1284, 723, 9571, 602, 596, 616, 616, 593, 513, 1507, 3926, 971, 607, 513, 5985, 6049, 563, 261, 26289, 274, 282, 261, 3953, 282, 263, 24357, 269, 8672, 267, 7412, 267, 1773, 2033, 543, 20348, 269, 6201, 1331, 519, 524, 15772, 1836, 27433, 6675, 540, 1216, 267, 20342, 267, 7250, 267, 7250, 17296, 267, 15655, 543, 5135, 269, 5788, 634, 1957, 267, 3370, 538, 7186, 11061, 5359, 519, 10282, 540, 513, 1007, 1826, 540, 7636, 24516, 267, 1572, 606, 11995, 24516, 630, 528, 476, 278, 268, 275, 24516, 1040, 18438, 281, 1482, 7623, 4433, 264, 1058, 711, 581, 1459, 538, 1312, 2472, 543, 556 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19667, 13396, 568, 519, 15280, 5168, 540, 606, 30313, 720, 762, 2078, 269, 25141, 1373, 519, 2229, 543, 16028, 9117, 607, 12836, 585, 519, 1689, 267, 519, 4641, 6013, 602, 952, 596, 5749, 1406, 2111, 547, 8597, 519, 2115, 540, 707, 11218, 1287, 972, 1655, 3298, 16028, 4031, 585, 596, 547, 6023, 256, 769, 555, 328, 2376, 267, 649, 786, 2119, 547, 3382, 782, 519, 16028, 4031, 538, 3127, 563, 7883, 532, 676, 519, 12716, 5817, 3661, 540, 28174, 553, 19101, 7365, 607, 519, 10700, 6662, 540, 513, 1762, 476, 1839, 1032, 2025, 20277, 3085, 1406, 1796, 856, 519, 1259, 621, 1705, 538, 519, 31249, 2247, 1606, 564, 602, 1004, 1378, 267, 2864, 585, 713, 29858, 4657, 1158, 267, 952, 596, 1616, 547, 19533, 1287, 596, 1058, 1118, 3054, 3514, 585, 5542, 267, 1317, 3127, 2488, 513, 1305, 540, 16028, 4031, 952, 519, 23947, 3085, 1406, 1745, 733, 2105, 538, 2921, 519, 7365, 2417, 563, 24375, 940, 609, 9699, 25141, 2920, 267, 4198, 276, 547, 519, 19837, 1828, 540, 7332, 25141, 2920, 267, 4350, 280, 543, 519, 29807, 328, 25141, 543, 6555, 13396, 2920, 267, 4350, 277, 267, 1927, 609, 4095, 6555, 13396, 2920, 267, 5908, 280, 267, 3127, 6585, 513, 2189, 1909, 689, 8380, 1055, 519, 7008, 689, 519, 17173, 2078, 1100, 2339, 1018, 4984, 789, 840, 778, 3976, 16180, 922, 4909, 3741, 269, 6555, 13396, 568, 519, 7803, 6073, 540, 9668, 950, 596, 5749, 1406, 2111, 547, 28231, 519, 5722, 642, 3298, 596, 723, 3893, 3054, 16219, 563, 310, 599, 811, 1114, 1287, 3045, 592, 618, 799, 568, 513, 3656, 9668, 1775, 4318, 269, 513, 21688, 3415, 1062, 998, 799, 513, 9310, 7008, 666, 849, 10123, 6101, 1125, 513, 632, 1249, 334, 9668, 15029, 2063, 16155, 9310, 610, 609, 632, 1249, 334, 9668, 1775, 4318, 269, 513, 1062, 13296, 519, 838, 11817, 1217, 958, 4104, 718, 1071, 4725, 1746, 267, 6555, 13396, 6763, 856, 676, 10747, 519, 4891, 1863, 689, 1022, 17185, 789, 723, 1044, 5892, 2322, 593, 3842, 519, 2486, 538, 519, 2012, 540, 25141, 563, 19667, 13396, 1373, 513, 3656, 27072, 540, 7365, 24947, 782, 3309, 10764, 3127, 723, 269, 2353, 9699, 267, 14418, 267, 27566, 543, 27454, 786, 2119, 547, 3758, 16028, 998, 9699, 25141, 2920, 267, 476, 4198, 276, 269, 12356, 3842, 19837, 1828, 540, 7332, 3057, 17699, 2920, 267, 476, 4350, 280, 269, 14655, 998, 29807, 328, 25141, 543, 6555, 13396, 2920, 267, 4350, 277, 269, 4168, 538, 13076, 609, 4095, 6555, 13396, 2920, 267, 476, 5908, 280, 269, 1975, 11817, 10362, 547, 835, 6361, 8584, 29292, 2516, 543, 5641, 525, 666, 3343, 16028, 555, 745, 7981, 25141, 2920, 267, 476, 4198, 277, 563, 299, 20235, 7126, 1310, 25141, 454, 268, 9406, 547, 2661, 9170, 1352, 13821, 1927, 609, 1200, 9393, 267, 607, 606, 4244, 581, 621, 1200, 15366, 610, 1319, 3234, 11102, 6469, 267, 1100, 4808, 2630, 9699, 25141, 2920, 267, 476, 4198, 276, 585, 7114, 1200, 1858, 547, 2661, 1310, 7365, 563, 268, 9406, 540, 3959, 1312, 676, 1200, 4651, 543, 9393, 2016, 1352, 568, 1101, 7385, 267, 952, 519, 9393, 862, 1080, 1022, 2462, 18081, 563, 268, 9406, 547, 705, 677, 513, 4816, 18284, 476, 736, 4374, 609, 1100, 10279, 540, 2921, 10479, 689, 1200, 9393, 607, 2687, 547, 519, 6481, 12910, 1588, 540, 26579, 267, 3192, 272, 563, 268, 9406, 547, 588, 872, 546, 7315, 630, 14179, 2863, 3320, 2016, 13344, 547, 519, 7385, 1354, 610, 1310, 1200, 7365, 1510, 1022, 3196, 547, 798, 865, 264, 607, 829, 3296, 476, 1691, 540, 9699, 11773, 542, 2920, 267, 4198, 277, 543, 3296, 476, 2767, 540, 9699, 25141, 2920, 267, 476, 4198, 276, 269, 2701, 849, 666, 538, 1840, 2594, 513, 20494, 9330, 2630, 8791, 476, 866, 288, 540, 519, 10466, 540, 6468, 538, 11685, 547, 23582, 20222, 2920, 952, 1200, 1697, 568, 17792, 563, 268, 7797, 22337, 787, 3842, 2376, 476, 19054, 289, 543, 476, 5392, 279, 288, 540, 4095, 6755, 531, 7040, 563, 268, 18830, 519, 7301, 3409, 540, 1010, 7385, 585, 22337, 787, 267, 646, 666, 29153, 896, 8791, 476, 25375, 267, 9197, 15425, 563, 268, 1403, 1010, 7385, 5932, 6429, 543, 1287, 7301, 569, 6811, 621, 607, 25711, 267, 9393, 666, 3758, 513, 3441, 6051, 2013, 896, 8791, 476, 280, 267, 8713, 290, 1996, 1010, 7385, 563, 268, 9406, 547, 27836, 23947, 3959, 1310, 2390, 2669, 563, 268, 9406, 547, 4309, 23947, 1514, 3354, 267, 27404, 610, 9659, 2640, 563, 294, 1037, 338, 585, 16028, 454, 10817, 2830, 610, 674, 5435, 3069, 538, 3747, 585, 29653, 16028, 454, 268, 8791, 476, 1724, 540, 519, 9699, 25141, 2920, 476, 4198, 276, 2369, 2478, 4128, 585, 16028, 609, 606, 1840, 540, 1776, 476, 275, 4128, 2139, 547, 519, 7385, 4805, 896, 519, 9699, 25141, 2920, 476, 4198, 276, 630, 7611, 476, 1724, 263, 273, 4297, 4586, 268, 1520, 592, 6670, 281, 3117, 839, 783, 4638, 26697, 1063, 513, 9310, 1268, 609, 1776, 4008, 23947, 540, 1776, 1268, 563, 268, 769, 3127, 267, 513, 812, 602, 862, 1080, 13277, 6670, 666, 581, 9901, 609, 513, 5186, 758, 1055, 775, 269, 634, 7385, 607, 513, 3540, 16185, 666, 1867, 16028, 269, 1403, 513, 7385, 862, 1080, 13277, 6670, 267, 1352, 3112, 581, 9901, 609, 513, 7803, 1055, 775, 267, 1256, 1498, 519, 9393, 666, 581, 10478, 585, 31989, 540, 519, 2937, 19907, 5256, 585, 13277, 6670, 543, 1867, 585, 16028, 563, 268, 19164, 542, 281, 27315, 2685, 10714, 532, 270, 548, 3058, 11721, 832, 1136, 270, 629, 9646, 532, 540, 476, 272, 7649, 609, 9039, 4052, 2014, 998, 519, 824, 563, 268, 19164, 532, 23947, 1590, 723, 4570, 2601, 585, 8237, 543, 519, 7287, 547, 2322, 606, 1439, 547, 1071, 4725, 2787, 538, 1931, 547, 5418, 611, 585, 20237, 563, 268, 19164, 539, 23947, 11099, 538, 3668, 540, 9844, 543, 16789, 2014, 585, 6028, 519, 1319, 3234, 11102, 1753, 950, 646, 24172, 5418, 6758, 563, 268, 700, 788, 549, 1910, 1107, 8791, 476, 272, 263, 643, 264, 2115, 682, 2889, 1910, 547, 581, 2205, 12040, 610, 1651, 9092, 15029, 1373, 513, 6989, 585, 16028, 563, 268, 10469, 699, 531, 8376, 1107, 2901, 23947, 666, 3343, 513, 21936, 585, 16028, 952, 519, 824, 23947, 568, 7092, 689, 1022, 2205, 12040, 9006, 699, 531, 8376, 630, 288, 10680, 267, 19690, 267, 6583, 545, 561, 823, 264, 538, 922, 3868, 762, 1106, 563, 268, 6184, 534, 640, 1107, 8791, 476, 1724, 31702, 264, 2488, 16028, 952, 519, 4431, 550, 814, 1044, 7680, 5812, 2790, 24187, 799, 568, 703, 26985, 676, 519, 23947, 563, 268, 23586, 1107, 8791, 476, 274, 263, 272, 7565, 4512, 264, 2488, 16028, 952, 519, 23947, 2781, 1162, 547, 581, 513, 9699, 270, 10736, 547, 513, 1875, 9699, 5132, 1510, 519, 824, 23947, 779, 9844, 563, 268, 3465, 18870, 540, 2669, 1107, 4095, 15845, 2920, 267, 476, 6942, 273, 1095, 6979, 1004, 4666, 952, 22821, 1406, 1044, 4862, 585, 513, 5934, 12732, 540, 476, 278, 1296, 267, 8754, 519, 23947, 666, 1491, 513, 16028, 1310, 519, 23616, 4327, 942, 563, 268, 8262, 18081, 1107, 7385, 666, 3343, 16028, 952, 519, 9393, 723, 811, 602, 835, 7385, 563, 268, 681, 1901, 267, 590, 617, 3912, 543, 1655, 658, 640, 1107, 7385, 666, 3758, 513, 21936, 585, 16028, 1317, 540, 22149, 630, 7611, 476, 23841, 267, 7379, 290, 264, 1775, 4318, 269, 1071, 7978, 609, 513, 14799, 1510, 1200, 10479, 269, 4033, 476, 273, 616, 796, 11499, 1055, 1878, 1141, 590, 617, 3912, 1797, 5067, 1351, 1537, 2941, 1637, 609, 1482, 3023, 543, 1655, 658, 640, 1797, 2348, 3023, 1996, 519, 1931, 540, 2470, 609, 1022, 812, 267, 4807, 610, 3662, 607, 2016, 538, 3296, 476, 4391, 278, 267, 7379, 290, 563, 268, 8791, 476, 273, 540, 519, 19837, 1828, 540, 7332, 3057, 17699, 2920, 476, 4350, 280, 3568, 12406, 593, 799, 519, 7385, 4805, 666, 647, 324, 563, 268, 570, 8403, 336, 3887, 1532, 573, 520, 1107, 2142, 523, 5063, 10294, 20704, 705, 2332, 1470, 3842, 519, 1744, 599, 4673, 645, 8457, 642, 4882, 5742, 540, 3127, 3823, 519, 7141, 5657, 26698, 563, 268, 570, 8403, 336, 3887, 268, 1695, 338, 534, 1107, 1703, 568, 513, 476, 3445, 1554, 476, 1342, 520, 263, 629, 560, 29561, 264, 942, 17929, 952, 519, 7008, 3085, 1406, 1071, 4725, 10028, 267, 519, 16028, 568, 9048, 22106, 762, 563, 268, 570, 8403, 336, 3887, 3620, 553, 534, 1107, 476, 274, 835, 3923, 20517, 616, 547, 581, 3812, 17929, 972, 12582, 1406, 581, 1022, 17788, 531, 2078, 1063, 519, 23947, 563, 268, 7316, 629, 8083, 540, 519, 9393, 723, 1631, 1100, 3476, 1044, 9833, 585, 513, 3259, 540, 476, 275, 1296, 563, 268, 26036, 7171, 814, 8959, 547, 2709, 1200, 5826, 585, 513, 5934, 12732, 540, 1079, 1296, 610, 814, 7142, 1200, 547, 3251, 538, 606, 11375, 636, 2033, 7365, 563, 268, 26036, 7171, 814, 1044, 30992, 547, 26646, 585, 513, 12732, 540, 5722, 1296, 610, 20733, 563, 268, 26036, 7171, 568, 791, 582, 550, 610, 3884, 1406, 2111, 547, 30593, 519, 29281, 9021, 585, 5934, 540, 476, 274, 1296, 454, 268, 2667, 5435, 1200, 610, 952, 3085, 1406, 2543, 1200, 538, 13076, 609, 519, 20845, 563, 268, 1403, 596, 2461, 513, 1825, 591, 540, 2441, 267, 1287, 666, 3758, 16028, 896, 8791, 476, 1015, 540, 519, 4095, 6555, 13396, 2920, 476, 5908, 280, 269, 634, 26587, 540, 16028, 31885, 1058, 581, 689, 513, 3540, 5480, 543, 711, 689, 3235, 27036, 20292, 5513, 26915, 630, 3553, 909, 676, 3909, 8128, 547, 4308, 609, 13882, 1851, 804, 518, 923, 1916, 268, 26036, 7171, 779, 666, 3409, 16028, 952, 7385, 723, 8149, 13277, 6670, 454, 268, 654, 1057, 666, 3758, 513, 21936, 585, 16028, 1317, 540, 13277, 6670, 267, 1655, 658, 640, 267, 2462, 18081, 267, 1689, 540, 4984, 689, 8567, 676, 9393, 610, 28877, 563, 268, 634, 29807, 328, 25141, 543, 6555, 13396, 2920, 476, 4350, 277, 3568, 476, 1015, 13337, 12406, 540, 16028, 10858, 547, 6431, 2103, 15185, 5275, 16028, 563, 268, 7201, 519, 7981, 25141, 2920, 799, 568, 10858, 547, 782, 16310, 711, 2348, 519, 4567, 540, 12504, 538, 3127, 267, 8791, 476, 2767, 263, 272, 264, 3568, 476, 1015, 13337, 12406, 540, 16028, 593, 799, 2901, 23947, 666, 3343, 16028, 269, 8791, 476, 2767, 263, 272, 288, 264, 3568, 1079, 13337, 12406, 593, 799, 519, 7385, 4805, 666, 3343, 9668, 540, 7365, 563, 268, 8791, 476, 1724, 289, 540, 519, 9699, 25141, 2920, 476, 4198, 276, 538, 14966, 609, 3296, 476, 2764, 540, 7981, 25141, 2920, 267, 476, 4198, 275, 3413, 3581, 519, 23947, 547, 1459, 741, 5163, 585, 9668, 1310, 2713, 1510, 519, 11090, 540, 9393, 543, 7385, 585, 513, 5934, 12732, 540, 476, 272, 1032, 630, 4089, 476, 1015, 288, 540, 6555, 13396, 2920, 267, 476, 5908, 280, 267, 3340, 519, 7008, 547, 581, 9674, 585, 693, 2547, 1079, 1296, 1354, 7311, 585, 16028, 4700, 4553, 676, 1776, 6881, 540, 5163, 609, 513, 7934, 689, 476, 277, 547, 476, 1240, 3275, 24787, 776, 689, 519, 1101, 4553, 676, 519, 2063, 6217, 799, 5849, 1863, 786, 676, 10916, 519, 6898, 1354, 26587, 513, 31885, 540, 16028, 269, 630, 29670, 14384, 1797, 711, 2713, 607, 9393, 543, 7385, 267, 4087, 3085, 1406, 2339, 269, 12467, 268, 8191, 1436, 540, 1379, 540, 30374, 1107, 1879, 835, 540, 519, 6105, 3884, 1406, 2111, 547, 7390, 519, 18659, 540, 16028, 1317, 540, 1373, 856, 540, 2197, 610, 930, 796, 28300, 762, 4062, 540, 960, 267, 1287, 646, 24172, 6119, 513, 476, 1911, 8297, 701, 525, 16826, 1957, 3976, 4758, 741, 1379, 540, 9117, 538, 13076, 547, 824, 1310, 3478, 621, 10805, 3842, 7373, 32057, 676, 3246, 10821, 15997, 267, 865, 972, 3884, 1406, 1022, 8488, 538, 16028, 676, 8994, 3117, 550, 3079, 540, 835, 540, 519, 6105, 1373, 856, 540, 4884, 563, 268, 11426, 776, 6555, 13396, 1107, 6555, 13396, 1510, 5473, 5480, 568, 10363, 855, 1869, 11342, 538, 930, 2694, 540, 3127, 563, 268, 1133, 559, 831, 958, 1107, 2311, 519, 12257, 540, 519, 9393, 899, 10205, 532, 519, 7385, 1510, 1022, 4570, 2601, 610, 1317, 540, 22634, 563, 268, 6555, 13396, 676, 1546, 539, 1107, 609, 6304, 540, 519, 2757, 7754, 577, 599, 1846, 540, 22634, 5513, 684, 1023, 267, 6555, 13396, 568, 10645, 563, 268, 16505, 6658, 16140, 1107, 898, 3217, 7365, 607, 513, 533, 1190, 2078, 1759, 593, 2648, 543, 2463, 585, 1142, 824, 543, 11099, 538, 711, 15198, 513, 4666 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6803, 18441, 538, 5935, 741, 1378, 18497, 5238, 267, 3872, 1949, 267, 543, 2686, 7215, 563, 273, 269, 5295, 19457, 281, 31158, 1194, 2471, 12623, 20470, 3347, 1063, 8789, 543, 29884, 2516, 269, 898, 11394, 23799, 9084, 540, 2200, 267, 3375, 6194, 6392, 267, 543, 2797, 3310, 547, 6439, 1518, 8978, 17536, 1182, 543, 3895, 6086, 633, 7862, 563, 274, 269, 23779, 281, 4406, 573, 919, 543, 3413, 8787, 519, 4502, 1465, 543, 15683, 540, 3309, 2686, 9163, 269, 3414, 4013, 8622, 8540, 267, 6041, 267, 543, 11812, 267, 12790, 2950, 1995, 15398, 2631, 540, 10362, 543, 22644, 563, 275, 269, 28249, 1275, 281, 3117, 11107, 20718, 1727, 11306, 5185, 676, 2043, 945, 4866, 547, 2789, 27797, 2516, 1759, 593, 2188, 899, 4008, 267, 4638, 10066, 267, 1362, 267, 2085, 267, 2702, 267, 543, 4984, 269, 18601, 954, 24286, 1949, 540, 28735, 3587, 14063, 585, 8236, 9758, 13784, 543, 14619, 780, 7656, 269, 7600, 2294, 543, 2552, 7337, 625, 28259, 532, 5564, 12734, 1143, 543, 2667, 574, 7976, 692, 4407, 1312, 26336, 1459, 8903, 7440, 585, 10128, 7292, 270, 30710, 18441, 883, 6626, 2486, 267, 9444, 1935, 3788, 1863, 689, 16472, 543, 15784, 269, 11534, 7859, 8044, 602, 1142, 3069, 19299, 7915, 7687, 799, 17225, 6209, 5188, 1472, 10296, 1514, 4145, 780, 288, 269, 7799, 14591, 540, 2667, 574, 7976, 454, 272, 269, 13809, 540, 8836, 11595, 281, 1280, 1424, 12102, 2516, 547, 1167, 731, 741, 2757, 2081, 540, 1272, 666, 1267, 538, 2530, 540, 3407, 1702, 267, 7326, 267, 543, 26274, 19017, 936, 5553, 269, 6270, 2144, 5501, 949, 1266, 2658, 4606, 540, 32238, 267, 771, 528, 1304, 566, 267, 543, 32659, 2509, 519, 8789, 2528, 563, 273, 269, 13067, 4094, 1436, 281, 26875, 1944, 7663, 8864, 936, 3017, 588, 604, 956, 5876, 267, 5647, 267, 543, 7214, 7279, 269, 5081, 7724, 1981, 4742, 1395, 18070, 9988, 27507, 540, 2565, 8086, 267, 1582, 7721, 8727, 267, 543, 7071, 585, 4244, 16752, 563, 274, 269, 23305, 31875, 281, 22695, 1681, 10770, 9465, 29270, 12790, 2950, 10522, 602, 1967, 9003, 5673, 593, 1367, 11036, 269, 1717, 267, 1382, 9846, 9727, 875, 31737, 10168, 267, 3023, 1143, 267, 2111, 1143, 267, 543, 824, 3029, 540, 7130, 15641, 324, 16057, 10688, 543, 14227, 13120, 563, 275, 269, 13507, 545, 32641, 281, 1520, 11447, 547, 2681, 4565, 785, 16431, 10419, 340, 919, 24353, 14882, 1996, 1875, 22554, 5095, 269, 2598, 7666, 2213, 896, 9583, 21030, 6681, 20116, 267, 11029, 25641, 2853, 3136, 547, 24183, 3646, 2509, 9758, 9698, 543, 5126, 780, 289, 269, 10374, 28172, 540, 5564, 12734, 1143, 454, 272, 269, 21540, 12198, 281, 28246, 1445, 593, 1895, 6302, 1522, 12927, 1202, 983, 2790, 885, 267, 12615, 908, 15523, 2059, 7292, 267, 6803, 267, 543, 3909, 3515, 269, 18877, 2611, 9678, 267, 17923, 11475, 543, 5134, 6412, 3079, 540, 5807, 3444, 14426, 13341, 563, 273, 269, 12708, 1143, 281, 26805, 2818, 540, 12102, 2516, 547, 5187, 2065, 1286, 545, 2137, 25848, 999, 4835, 30846, 543, 13857, 2833, 269, 674, 12089, 11008, 3074, 10714, 5714, 9163, 8032, 676, 6422, 4205, 1063, 1367, 5079, 543, 7104, 7506, 563, 274, 269, 2155, 617, 2305, 281, 3690, 14127, 2686, 6698, 883, 2344, 762, 21113, 8920, 2373, 8076, 10096, 543, 6971, 3638, 12583, 883, 21603, 10525, 540, 16678, 1143, 269, 20497, 14226, 1821, 531, 1132, 19644, 5389, 267, 17021, 873, 6071, 4715, 8163, 585, 2527, 4616, 563, 275, 269, 11572, 22043, 1145, 281, 853, 2774, 15984, 547, 20833, 2953, 4633, 9479, 16401, 525, 1930, 7521, 267, 12042, 619, 16268, 9880, 267, 543, 24115, 2471, 18367, 7391, 1472, 6213, 3584, 269, 4270, 10784, 1549, 539, 8942, 547, 2057, 25213, 6038, 16563, 9739, 5275, 3020, 21047, 543, 7067, 780, 4353, 269, 19484, 3281, 7566, 21126, 10738, 7351, 12367, 543, 7464, 21509, 6201, 692, 1103, 2221, 781, 6385, 4657, 15295, 5251, 267, 14519, 20920, 609, 7598, 2500, 2994, 13326, 2463, 585, 4763, 1247, 14237, 8537, 5054, 20009, 547, 8994, 1620, 269, 10765, 7835, 20838, 519, 991, 585, 11028, 4290, 532, 13253, 1063, 21939, 626, 543, 18371, 626, 4485, 780, 288, 269, 16949, 12694, 27933, 560, 19663, 8111, 323, 1751, 454, 272, 269, 19737, 16842, 29203, 281, 2060, 13778, 2157, 540, 10409, 267, 3909, 267, 543, 6237, 4763, 1915, 1944, 2413, 4872, 267, 13167, 3358, 4507, 17841, 547, 6946, 2115, 3587, 2629, 269, 2290, 20695, 1922, 1080, 22433, 3435, 6961, 16283, 538, 5466, 1808, 7569, 16109, 689, 9867, 27436, 24551, 543, 11175, 3270, 563, 273, 269, 26472, 4317, 3213, 1127, 542, 281, 21344, 12721, 4690, 3340, 11495, 10347, 8332, 2478, 1063, 17420, 2686, 1880, 885, 543, 14637, 3838, 2418, 10489, 2056, 1612, 5255, 658, 28930, 725, 269, 5398, 5624, 267, 2923, 11269, 267, 543, 3872, 21195, 11129, 547, 2992, 3309, 1200, 527, 1137, 1247, 30176, 8471, 3741, 11006, 3309, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 1433, 536, 2683, 607, 519, 1034, 2352, 547, 1224, 2479, 3370, 568, 18644, 519, 21684, 1107, 543, 621, 781, 711, 1175, 519, 2985, 11768, 602, 3513, 4161, 596, 563, 5804, 519, 12540, 1231, 814, 1169, 2262, 9102, 7357, 538, 519, 19114, 540, 519, 3817, 1107, 519, 2347, 6587, 540, 513, 2048, 7538, 685, 1433, 563, 2005, 6645, 519, 2123, 2984, 540, 8589, 2213, 1004, 2713, 609, 7486, 267, 22031, 22807, 595, 543, 9435, 543, 568, 5950, 547, 5031, 1072, 8635, 538, 519, 5177, 563, 2005, 781, 476, 4037, 1296, 2094, 519, 23244, 729, 4646, 855, 538, 476, 1708, 274, 6628, 972, 616, 1869, 16526, 538, 3782, 269, 1656, 1346, 834, 514, 519, 19114, 257, 798, 711, 782, 1205, 519, 1482, 1377, 540, 1416, 563, 10908, 984, 958, 3146, 11471, 14787, 267, 5856, 267, 3376, 322, 2120, 543, 4670, 2173, 6033, 7905, 6424, 9986, 639, 7541, 744, 23813, 5206, 519, 2062, 1189, 543, 1767, 281, 968, 14549, 7239, 723, 2141, 1044, 21376, 543, 1480, 7919, 723, 2141, 10268, 513, 12402, 547, 973, 11798, 543, 18956, 689, 4576, 543, 2068, 563, 10454, 14547, 543, 519, 1134, 268, 8588, 723, 2141, 1044, 6488, 539, 1569, 547, 1416, 543, 2126, 602, 519, 4057, 543, 8589, 2213, 723, 1044, 17792, 563, 257, 31714, 616, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11372, 12734, 1143, 5288, 269, 2667, 574, 7976, 257, 607, 851, 540, 834, 24719, 13316, 1315, 17813, 1299, 23532, 9534, 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, 7087, 26291, 543, 590, 30371, 14879, 281, 634, 8865, 540, 1715, 10215, 781, 3213, 8566, 4261, 766, 28081, 906, 692, 296, 269, 4985, 692, 763, 2243, 540, 6805, 10350, 543, 16285, 568, 3844, 547, 2797, 2257, 14172, 543, 2259, 269, 898, 12651, 4909, 2055, 827, 519, 2470, 540, 1533, 3125, 267, 11180, 6041, 267, 543, 1514, 5126, 269, 2290, 8037, 1383, 540, 891, 10848, 666, 581, 1336, 538, 1715, 10215, 781, 5571, 17634, 609, 1071, 3766, 4261, 766, 12417, 1063, 519, 22477, 543, 519, 6805, 631, 5953, 9461, 2551, 269, 14301, 2390, 519, 3177, 1349, 267, 713, 1576, 1770, 786, 5490, 7184, 883, 519, 12497, 10850, 267, 3140, 8658, 267, 4207, 9840, 267, 543, 2104, 8846, 4478, 713, 2565, 2013, 1353, 780, 2862, 269, 27565, 22640, 5288, 269, 3213, 8566, 4261, 766, 692, 288, 3730, 4358, 1448, 3322, 17804, 2757, 12666, 1629, 31097, 609, 6932, 3631, 540, 1071, 3766, 4261, 766, 269, 4197, 891, 3604, 2636, 721, 547, 5660, 519, 2189, 2591, 543, 3255, 4843, 950, 6220, 6805, 5380, 1369, 22257, 3889, 269, 1284, 786, 4983, 1883, 2934, 971, 607, 1367, 1143, 8957, 2445, 13659, 267, 2101, 9107, 4341, 8957, 13618, 2679, 267, 543, 16857, 8699, 8957, 1582, 24148, 269, 1635, 3695, 891, 13253, 267, 596, 786, 2744, 5813, 883, 1946, 2477, 899, 1715, 10215, 1522, 11654, 4244, 3029, 540, 10350, 602, 11760, 741, 7810, 2250, 1247, 20678, 2509, 3152, 13784, 543, 7862, 780, 7656, 269, 8466, 12745, 281, 20616, 7402, 12420, 543, 6164, 625, 692, 2414, 10146, 2413, 6377, 2152, 1472, 6805, 10350, 543, 16285, 267, 621, 568, 1898, 547, 1174, 519, 3140, 8658, 5935, 1459, 1894, 269, 1280, 1715, 10215, 267, 713, 1797, 2502, 609, 519, 14097, 6194, 1184, 1063, 3703, 3935, 9088, 543, 519, 631, 5953, 9461, 9082, 1282, 519, 476, 866, 628, 2540, 269, 13018, 267, 649, 786, 5659, 519, 15521, 540, 27016, 30231, 12544, 25761, 6876, 9896, 538, 476, 7277, 271, 30147, 3964, 519, 4493, 585, 3864, 11175, 1247, 9301, 631, 5953, 9461, 6392, 936, 741, 3338, 543, 2200, 269, 1717, 267, 7766, 23563, 540, 713, 14097, 3366, 547, 5756, 540, 4655, 267, 7006, 1601, 11970, 267, 543, 30886, 269, 1306, 513, 1267, 267, 20460, 1746, 891, 3140, 6386, 3587, 2629, 538, 1931, 547, 9787, 519, 4644, 540, 4207, 1071, 3766, 4261, 766, 7341, 6322, 693, 2699, 7675, 2250, 4636, 338, 780, 4353, 269, 10417, 783, 15753, 3311, 281, 8682, 5937, 20986, 267, 1546, 3712, 517, 1436, 267, 543, 23779, 692, 1607, 3296, 12857, 1896, 4295, 7811, 21437, 13057, 5717, 593, 6805, 10350, 543, 16285, 269, 3689, 267, 649, 2263, 519, 6240, 540, 1582, 24148, 607, 13994, 4327, 538, 3486, 1876, 543, 922, 6286, 585, 6805, 2950, 5275, 13190, 1369, 4182, 32145, 269, 5822, 267, 28160, 1436, 19674, 607, 606, 10763, 7828, 998, 799, 547, 2070, 3646, 547, 24905, 548, 3936, 2401, 7810, 3889, 543, 7668, 13840, 1016, 24503, 730, 5095, 269, 14936, 267, 6284, 3069, 3091, 4030, 883, 875, 2829, 949, 8831, 6101, 8622, 8540, 540, 6805, 2924, 543, 9163, 1510, 8209, 4101, 6626, 1379, 6384, 269, 16792, 891, 10850, 547, 1715, 10215, 781, 1995, 6087, 721, 547, 9691, 2708, 1312, 10781, 543, 7687, 2404, 609, 922, 1071, 3766, 4261, 766, 2203, 780, 309, 269, 12634, 13891, 919, 281, 7126, 267, 17658, 850, 2471, 267, 543, 32389, 692, 19352, 532, 2390, 519, 1349, 3177, 267, 649, 2490, 938, 3007, 547, 10296, 4145, 3823, 7292, 15523, 267, 5094, 2924, 267, 543, 19635, 13359, 3270, 538, 1715, 10215, 2486, 269, 1452, 27900, 6318, 1271, 2055, 827, 2436, 1071, 3766, 4261, 766, 12417, 22652, 4540, 16526, 610, 3565, 547, 9758, 21047, 543, 10014, 269, 3414, 6297, 6514, 540, 12170, 1239, 267, 3656, 9551, 757, 267, 543, 3609, 7459, 267, 596, 786, 4497, 609, 12721, 7440, 4478, 519, 2640, 543, 19363, 540, 5198, 2861, 4507, 543, 741, 1764, 593, 2949, 6848, 22122, 780, 9654, 269, 8892, 19648, 281, 16497, 3231, 2740, 543, 12694, 589, 3650, 692, 7661, 267, 649, 2992, 2390, 4245, 29742, 539, 689, 1715, 10215, 781, 2833, 609, 1071, 3766, 4261, 766, 543, 2015, 1761, 18817, 585, 2417, 1646, 269, 6206, 4798, 949, 1331, 1384, 265, 28518, 18454, 543, 14286, 538, 7598, 1071, 3766, 4261, 766, 11650, 2066, 1585, 9922, 630, 324, 3052, 1421, 2825, 2359, 267, 1072, 1416, 267, 2069, 994, 265, 24167, 16548, 585, 9750, 1071, 3766, 4261, 766, 3564, 12572, 17267, 2509, 6086, 633, 12250, 15024, 454, 265, 22414, 2079, 540, 2147, 6901, 538, 6805, 10350, 5001, 267, 10223, 1455, 8017, 543, 11651, 326, 1878, 538, 4485, 3144, 676, 1114, 2829, 692, 3528, 13754, 1944, 1702, 9715, 2429, 713, 1576, 1770, 267, 596, 786, 581, 1134, 25668, 5792, 547, 9691, 6218, 4207, 9840, 4478, 6805, 6041, 538, 2229, 543, 3565, 25006, 547, 5571, 7391, 7282, 10350, 267, 16285, 267, 543, 1514, 5126, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 6124, 10215, 568, 693, 513, 13338, 3444, 5802, 269, 769, 835, 4287, 568, 12666, 9111, 269, 769, 519, 824, 568, 1071, 3766, 4261, 766, 282, 1379, 6879, 2130, 1063, 835, 6803, 1895, 543, 782, 1866, 563, 24685, 1715, 10215, 972, 568, 1631, 9668, 883, 1079, 1004, 281, 519, 12102, 8575, 9461, 267, 543, 782, 519, 1866, 267, 945, 616, 2034, 11665, 4961, 269, 901, 6498, 568, 676, 5198, 281, 538, 9086, 267, 1141, 1022, 6749, 540, 8575, 9461, 22693, 267, 1100, 2339, 875, 2370, 267, 4025, 513, 1268, 883, 602, 29341, 1895, 563, 29467, 616, 5094, 2924, 267, 799, 616, 7683, 3773, 547, 865, 602, 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 ]
[ 5098, 610, 12031, 568, 513, 3561, 11643, 538, 1489, 540, 6596, 1155, 585, 606, 4081, 4110, 610, 3318, 28730, 9306, 519, 2278, 781, 1382, 269, 634, 2101, 6810, 540, 513, 1382, 1353, 2687, 547, 16643, 899, 513, 12031, 610, 5098, 4766, 519, 1292, 6810, 540, 513, 1382, 2376, 4843, 538, 519, 16643, 563, 1692, 547, 2328, 513, 12191, 12031, 948, 547, 2232, 875, 547, 2328, 513, 12191, 267, 538, 519, 12191, 3296, 540, 707, 12031, 596, 723, 547, 17854, 543, 2491, 707, 3903, 540, 16097, 6964, 538, 707, 1382, 269, 27491, 585, 2870, 2985, 9397, 543, 3296, 596, 1058, 2015, 1210, 873, 547, 3898, 707, 5098, 5225, 3346, 519, 4294, 1382, 2978, 693, 476, 278, 2190, 268, 3374, 278, 563, 5522, 8911, 543, 10647, 513, 12031, 1382, 538, 707, 12031, 513, 3296, 1141, 596, 1865, 4058, 543, 10647, 513, 12031, 269, 8791, 476, 272, 910, 5098, 4367, 1250, 2489, 5098, 1382, 12191, 729, 607, 538, 713, 3184, 1775, 1459, 606, 7650, 540, 519, 5098, 6810, 543, 11271, 269, 3371, 596, 666, 1265, 1344, 593, 1382, 12191, 5098, 267, 12191, 5098, 1957, 267, 4647, 1863, 3732, 12191, 5098, 267, 12191, 3296, 5098, 269, 769, 513, 3044, 1382, 11556, 267, 713, 3296, 666, 1491, 1079, 3029, 267, 865, 5077, 609, 707, 7548, 827, 799, 835, 568, 875, 547, 5965, 513, 12031, 11556, 563, 28208, 622, 713, 3296, 1016, 562, 822, 2875, 1382, 12031, 1344, 5098, 1344, 2027, 1788, 1344, 5098, 1344, 269, 3194, 543, 5098, 1603, 476, 274, 5098, 2497, 4808, 713, 1770, 14592, 543, 11828, 519, 2497, 540, 513, 1382, 5098, 6810, 540, 519, 5098, 269, 700, 518, 534, 875, 547, 2497, 519, 1382, 7687, 3296, 540, 707, 12031, 269, 1215, 547, 2328, 519, 2409, 3296, 540, 513, 1382, 1957, 519, 2409, 3296, 540, 513, 1382, 1957, 2488, 519, 1344, 676, 799, 513, 1353, 781, 14496, 568, 24565, 269, 0, 8110, 14127, 6575, 568, 606, 1271, 2460, 540, 519, 7345, 12426, 6437, 607, 1134, 607, 519, 1153, 781, 2528, 269, 9509, 6066, 12665, 960, 609, 519, 4928, 3610, 547, 2327, 602, 1148, 267, 2575, 267, 12416, 267, 543, 7544, 616, 7471, 2429, 519, 6437, 269, 6250, 1746, 5159, 32433, 519, 6575, 3292, 543, 1683, 6044, 538, 741, 20614, 269, 12197, 15143, 547, 7900, 6575, 519, 11596, 267, 15882, 267, 543, 26847, 2285, 1053, 519, 4316, 547, 2070, 519, 1148, 540, 1866, 538, 2796, 267, 1419, 2404, 609, 519, 1565, 6859, 540, 741, 26229, 13460, 563, 2171, 1745, 602, 4081, 1565, 568, 18674, 950, 1053, 666, 6542, 1018, 789, 723, 4121, 998, 1404, 2914, 3876, 543, 7900, 267, 998, 7574, 5888, 543, 2773, 267, 543, 998, 1079, 268, 543, 1614, 8820, 1148, 269, 3776, 20989, 8551, 5358, 2337, 938, 1053, 2744, 1582, 21873, 267, 1093, 1047, 267, 543, 519, 2702, 547, 2671, 519, 1034, 2123, 540, 960, 616, 2799, 538, 7345, 12426, 781, 3972, 532, 1604, 563, 16352, 513, 2647, 2039, 540, 1797, 540, 2792, 3947, 1053, 513, 3099, 540, 8925, 585, 11744, 1620, 543, 11589, 4606, 267, 2093, 267, 543, 1702, 269, 0, 17843, 3755, 723, 1114, 2115, 269, 3763, 619, 1616, 519, 5767, 8747, 2009, 267, 1062, 16984, 1616, 6617, 585, 3476, 1974, 540, 942, 269, 1703, 616, 1082, 12380, 14778, 856, 972, 267, 1142, 3077, 1154, 513, 1114, 5304, 269, 589, 1434, 1383, 568, 12658, 7702, 543, 2578, 5308, 563, 293, 539, 7702, 3622, 9635, 519, 5767, 7123, 8747, 540, 922, 5057, 15004, 950, 621, 568, 5950, 7466, 829, 1032, 269, 2334, 568, 10375, 585, 18376, 3755, 543, 9367, 269, 4634, 1498, 1082, 1004, 946, 12658, 7702, 593, 513, 7746, 267, 621, 568, 3006, 2556, 547, 723, 513, 7123, 4528, 540, 1978, 15004, 585, 513, 3476, 942, 267, 6140, 1317, 540, 3791, 18407, 3156, 563, 4263, 519, 1482, 942, 267, 930, 1004, 2015, 12658, 7702, 547, 581, 3001, 1932, 3500, 585, 873, 543, 1616, 1256, 18960, 678, 2863, 1307, 593, 741, 1062, 269, 2368, 25318, 338, 5305, 741, 3301, 5488, 982, 7466, 513, 1032, 563, 4002, 519, 824, 1688, 267, 2578, 5308, 9072, 1279, 3856, 6617, 543, 13847, 513, 1007, 4528, 2899, 1169, 1906, 1296, 269, 901, 568, 10375, 585, 7746, 8098, 1231, 607, 972, 616, 7864, 2242, 936, 3476, 5712, 540, 942, 269, 1809, 930, 540, 519, 3301, 4991, 2025, 585, 2413, 3156, 543, 18960, 8747, 540, 678, 2863, 1307, 1522, 581, 2877, 563, 1103, 824, 1913, 267, 621, 1131, 581, 10375, 547, 581, 2111, 547, 3442, 930, 2694, 540, 519, 1062, 547, 581, 3001, 3500, 267, 543, 824, 2694, 547, 581, 3001, 3728, 269, 16393, 649, 798, 602, 888, 2467, 616, 1082, 11149, 856, 972, 269, 11683, 640, 540, 873, 616, 3710, 16924, 267, 711, 8362, 9738, 267, 711, 1273, 3481, 609, 3354, 4368, 525, 267, 543, 1869, 1031, 676, 1082, 1004, 269, 901, 568, 2523, 3020, 585, 519, 3283, 2348, 3301, 538, 513, 1114, 4528, 982, 519, 3892, 2488, 563, 2252, 12658, 7702, 1185, 2789, 8747, 540, 3301, 602, 568, 8362, 9738, 543, 3710, 267, 1223, 649, 946, 621, 547, 3132, 11149, 286, 16393, 891, 11149, 1205, 8850, 32206, 1169, 942, 519, 15004, 1205, 8242, 888, 293, 539, 7702, 20334, 2226, 741, 15004, 538, 2789, 8371, 2443, 835, 585, 1142, 5305, 269, 4634, 950, 519, 15004, 616, 519, 1482, 269, 1656, 972, 568, 513, 3126, 540, 8261, 3268, 2404, 609, 519, 1628, 1184, 563, 27745, 649, 5512, 3640, 6162, 547, 2226, 15004, 538, 8371, 602, 1131, 4786, 519, 10189, 4528, 3079, 540, 606, 17062, 3892, 5305, 286, 11109, 513, 2582, 7936, 602, 13976, 2066, 2789, 13847, 1131, 4688, 930, 960, 585, 3640, 6162, 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 ]
[ 16623, 267, 666, 581, 1031, 547, 11617, 2099, 519, 1650, 543, 1450, 3755, 547, 2263, 621, 538, 513, 811, 7317, 1259, 269, 1635, 14467, 593, 1114, 2609, 267, 3755, 666, 7866, 811, 1344, 827, 519, 1650, 543, 4685, 4514, 883, 922, 4798, 543, 2035, 563, 11372, 12855, 281, 5564, 12855, 2609, 899, 3381, 267, 3280, 267, 543, 2575, 666, 581, 1031, 547, 1711, 513, 811, 15138, 543, 2502, 1995, 585, 3755, 269, 1635, 6220, 891, 2609, 883, 519, 1650, 267, 9858, 666, 1711, 513, 811, 6422, 543, 14156, 22298, 1995, 602, 3755, 786, 3314, 1279, 1310, 789, 723, 2451, 519, 3135, 563, 294, 1868, 281, 10632, 666, 581, 513, 3532, 1907, 585, 2870, 6278, 543, 5092, 538, 519, 1650, 269, 1635, 1210, 3014, 6438, 2609, 267, 971, 607, 13410, 267, 2591, 267, 543, 5079, 267, 9858, 666, 1711, 513, 2631, 540, 8116, 543, 2123, 5092, 602, 786, 1832, 3755, 7722, 543, 5461, 538, 519, 1650, 563, 14300, 540, 20308, 27884, 538, 5680, 5071, 454, 2080, 616, 930, 1806, 540, 875, 7317, 9423, 814, 1044, 1031, 538, 1357, 1374, 547, 1711, 2502, 543, 12300, 2833, 912, 763, 8187, 15227, 22337, 660, 1144, 281, 901, 7317, 2575, 3381, 585, 519, 5152, 968, 2171, 13242, 547, 27016, 892, 676, 20211, 1228, 9605, 3096, 1357, 1374, 2609, 899, 14318, 543, 19180, 547, 1711, 606, 15138, 543, 3929, 1995, 269, 1635, 1210, 519, 3593, 779, 4087, 1239, 543, 6220, 621, 883, 519, 1650, 267, 519, 3381, 5932, 513, 2631, 540, 2123, 4276, 602, 2306, 519, 1650, 1745, 811, 1483, 543, 4143, 563, 306, 852, 12096, 281, 901, 17240, 12688, 15356, 20421, 2376, 689, 634, 1715, 3840, 8648, 3096, 1357, 1374, 2553, 899, 19180, 543, 7317, 12449, 547, 2995, 519, 1650, 540, 513, 14686, 1285, 23750, 3832, 538, 6115, 3557, 269, 1635, 6220, 3381, 267, 8301, 267, 543, 12449, 883, 519, 1650, 267, 519, 2376, 5932, 513, 3638, 543, 15138, 1995, 602, 14405, 519, 3593, 538, 543, 8952, 873, 7722, 563, 288, 5729, 538, 26990, 1495, 344, 281, 901, 7317, 17245, 3096, 1357, 1374, 2553, 899, 7317, 12449, 543, 19180, 547, 2995, 519, 1650, 540, 513, 1032, 538, 519, 1272, 540, 513, 3094, 655, 6033, 538, 26990, 1495, 344, 267, 5333, 269, 1635, 3850, 3755, 547, 2263, 1114, 2609, 540, 519, 1650, 543, 1118, 5079, 827, 799, 3344, 789, 1616, 547, 2263, 267, 519, 17245, 5932, 513, 2631, 540, 8116, 543, 5092, 602, 2306, 519, 1650, 811, 2502, 563, 6962, 20308, 9423, 998, 1357, 1374, 568, 513, 3532, 4480, 585, 2870, 2502, 543, 12300, 2833, 585, 3755, 269, 1635, 1210, 1357, 1374, 2609, 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 ]
[ 267, 1689, 454, 514, 519, 1647, 543, 23271, 693, 519, 1439, 269, 1452, 4755, 547, 782, 1519, 519, 1158, 543, 519, 3859, 454, 17882, 269, 2353, 2887, 896, 713, 4341, 267, 519, 17700, 610, 6000, 269, 1403, 649, 1174, 782, 891, 267, 621, 666, 581, 454, 338, 4660, 602, 649, 1174, 2470, 563, 2691, 649, 917, 2470, 267, 3544, 538, 543, 3330, 856, 267, 621, 1797, 602, 454, 933, 1174, 6000, 269, 1284, 3398, 1018, 6000, 616, 267, 676, 4743, 13854, 454, 5976, 6000, 267, 896, 971, 2175, 540, 1272, 267, 538, 1142, 3510, 267, 799, 568, 711, 454, 4707, 1996, 519, 3741, 540, 2470, 267, 855, 11745, 3278, 873, 2059, 519, 3652, 454, 1993, 2470, 269, 4935, 621, 666, 581, 1767, 602, 649, 798, 711, 1439, 9734, 2470, 543, 602, 649, 616, 454, 323, 16946, 609, 2470, 563, 2691, 13198, 836, 623, 5622, 729, 9241, 3921, 7134, 267, 646, 6836, 2182, 547, 3406, 454, 1721, 513, 9675, 269, 1261, 6368, 5833, 513, 22403, 585, 513, 9675, 269, 1261, 729, 10478, 585, 454, 29538, 1345, 267, 1141, 1010, 9997, 705, 1938, 269, 7053, 621, 3587, 1010, 1378, 22403, 799, 454, 13195, 3144, 585, 1010, 9675, 269, 1772, 713, 513, 20144, 10397, 7790, 898, 568, 711, 6221, 1242, 269, 634, 454, 291, 327, 10397, 568, 6221, 1242, 267, 2322, 883, 9433, 543, 6810, 563, 12179, 6011, 267, 13198, 836, 623, 5622, 6585, 2470, 607, 1010, 9675, 282, 538, 824, 1913, 2676, 20130, 9675, 568, 2470, 269, 1284, 616, 19618, 609, 2470, 543, 1831, 835, 269, 4935, 649, 454, 17647, 1100, 4250, 269, 1284, 616, 29267, 3437, 676, 938, 15055, 543, 20247, 10105, 267, 938, 3398, 1734, 543, 1201, 639, 1023, 563, 4322, 1919, 798, 711, 1118, 938, 1373, 6336, 922, 3666, 269, 12389, 538, 2486, 267, 649, 13789, 454, 553, 649, 616, 513, 851, 540, 621, 269, 634, 605, 14620, 3081, 834, 1103, 7507, 267, 798, 607, 519, 14564, 798, 8487, 2171, 616, 711, 9420, 267, 938, 8289, 568, 3339, 563, 4263, 519, 1482, 942, 267, 1100, 2339, 1018, 1390, 7088, 610, 30616, 24864, 543, 27605, 721, 267, 649, 3972, 454, 514, 1018, 649, 723, 269, 2334, 568, 938, 9675, 269, 1411, 949, 7747, 2436, 13198, 836, 623, 5622, 568, 513, 3434, 267, 606, 454, 611, 3439, 15249, 267, 513, 17354, 267, 513, 840, 12329, 267, 513, 4116, 610, 606, 17076, 267, 646, 814, 1010, 1378, 2161, 543, 646, 454, 529, 5128, 269, 1261, 814, 513, 9675, 269, 4475, 267, 646, 568, 1863, 267, 2348, 5191, 540, 1010, 1378, 563, 3891, 1281, 711, 1450, 5128, 547, 1404, 1022, 1909, 1510, 16069, 269, 901, 568, 1317, 454, 515, 6487, 5128, 563, 13295, 519, 10096, 540, 12062, 543, 9675, 8428, 269, 25083, 538, 713, 2013, 454, 1889, 753, 6617, 543, 19969, 547, 835, 781, 2247, 543, 3206, 269, 5808, 1197, 814, 513, 9675, 454, 529, 7123, 538, 1010, 16431, 267, 538, 519, 2081, 646, 22939, 1010, 1272, 267, 538, 1010, 1378, 2470, 269, 1261, 568, 454, 338, 15384, 30829, 609, 1018, 646, 568, 563, 4002, 519, 14669, 267, 1346, 1510, 1022, 9675, 786, 887, 600, 1472, 4948, 563, 3891, 9620, 538, 1010, 3406, 269, 1261, 5012, 1010, 1272, 593, 2175, 602, 646, 949, 1205, 1018, 646, 15055, 454, 23719, 1022, 22979, 269, 1452, 616, 519, 2175, 540, 1346, 1510, 1022, 9675, 585, 1010, 9997, 563, 3891, 814, 1100, 6109, 29459, 540, 1010, 1378, 269, 1261, 12346, 593, 519, 1913, 5310, 610, 949, 581, 782, 519, 942, 563, 11997, 13198, 836, 623, 5622, 1131, 899, 547, 1448, 856, 519, 9675, 540, 938, 9997, 563, 5970, 649, 22646, 543, 1336, 621, 7790, 3657, 596, 13854, 609, 519, 20144, 10397, 15017, 763, 20144, 10397, 568, 2470, 267, 1022, 3184, 540, 519, 20144, 10397, 568, 269, 1306, 594, 723, 1767, 267, 519, 20144, 10397, 568, 519, 454, 337, 2737, 267, 513, 4806, 540, 9821, 267, 799, 1312, 17246, 27570, 543, 28498, 607, 938, 7083, 17700, 814, 454, 12047, 2970, 730, 282, 621, 568, 519, 2175, 540, 1919, 538, 476, 10019, 267, 1822, 6688, 269, 1284, 949, 946, 891, 607, 938, 454, 10915, 4007, 267, 1022, 6221, 799, 649, 632, 655, 3617, 585, 721, 269, 634, 20144, 10397, 568, 519, 5168, 267, 799, 454, 1056, 338, 782, 519, 15997, 267, 552, 27238, 267, 2175, 16109, 689, 11009, 267, 5834, 543, 454, 342, 529, 3256, 547, 2226, 519, 3666, 540, 782, 7068, 267, 782, 2326, 267, 1519, 1318, 543, 5126, 2676, 663, 711, 547, 3111, 1022, 11645, 5645, 856, 547, 2226, 938, 2729, 269, 7186, 568, 938, 1483, 1582, 563, 2171, 917, 938, 1483, 1413, 543, 1174, 1018, 649, 991, 547, 581, 267, 547, 979, 267, 547, 2744, 267, 547, 6336, 454, 663, 547, 2661, 563, 763, 1620, 540, 938, 2729, 568, 519, 2175, 540, 2470, 269, 634, 1620, 454, 1993, 835, 781, 2081, 540, 1272, 568, 547, 1378, 2470, 607, 513, 9675, 269, 4197, 519, 2081, 540, 2713, 2676, 1492, 4567, 540, 513, 1480, 1373, 267, 9547, 538, 519, 2175, 543, 4567, 616, 547, 1174, 454, 333, 1155, 607, 513, 9675, 540, 938, 20339, 269, 4475, 267, 1118, 606, 3801, 547, 3406, 585, 938, 1378, 9675, 2676, 810, 602, 649, 917, 4010, 1018, 649, 616, 13854, 609, 269, 9747, 649, 666, 1404, 938, 1114, 5107, 454, 23719, 1373, 12922, 602, 519, 5107, 786, 6861, 721, 269, 1284, 666, 1404, 519, 5107, 540, 513, 454, 7538, 812, 267, 513, 4651, 267, 513, 9393, 267, 513, 7385, 267, 513, 3993, 267, 513, 1126, 267, 513, 31494, 267, 606, 23070, 610, 1022, 454, 14337, 952, 649, 723, 513, 9675, 585, 938, 20339, 563, 17829, 609, 513, 9675, 585, 519, 9997, 786, 1745, 9350, 950, 6849, 1022, 1835, 625, 543, 454, 338, 4428, 518, 902, 540, 1866, 269, 1284, 786, 1745, 12560, 950, 1866, 616, 22841, 269, 2290, 1510, 454, 320, 9675, 568, 606, 20025, 1268, 585, 1022, 1909, 1317, 952, 646, 4249, 513, 3983, 1909, 2676, 515, 786, 581, 3983, 2394, 519, 1439, 540, 1010, 1272, 269, 4475, 267, 646, 945, 814, 1100, 9675, 568, 711, 3514, 547, 454, 2452, 1022, 1909, 563, 296, 2161, 713, 547, 1118, 596, 1174, 519, 1483, 2495, 540, 2713, 835, 781, 1378, 1272, 3248, 6011, 649, 1058, 1291, 938, 2729, 267, 547, 1118, 721, 1745, 1863, 267, 811, 610, 1447, 269, 4518, 2182, 547, 454, 14142, 585, 938, 1378, 9675, 865, 602, 649, 786, 711, 1745, 20994, 547, 2661, 269, 769, 519, 2104, 938, 2729, 454, 15884, 581, 11207, 23600, 269, 1284, 991, 711, 581, 12922, 540, 15420, 267, 14834, 4262, 610, 5458, 3165, 267, 32261, 547, 454, 1873, 9994, 721, 610, 7485, 721, 547, 519, 5377, 540, 519, 5836, 563, 296, 1131, 899, 547, 2491, 1412, 5158, 609, 513, 9675, 8339, 898, 568, 899, 2348, 606, 454, 1301, 712, 547, 2149, 721, 689, 859, 2812, 267, 865, 602, 649, 723, 1100, 6067, 9037, 4743, 610, 26845, 543, 454, 4777, 711, 3479, 21359, 11489, 519, 2063, 1554, 540, 938, 2729, 269, 8409, 609, 1412, 320, 9675, 585, 519, 454, 338, 9567, 262, 616, 1863, 1004, 269, 1358, 786, 723, 741, 1378, 3652, 543, 4441, 547, 2995, 873, 454, 15290, 835, 1909, 568, 6190, 267, 950, 547, 1404, 513, 1007, 1909, 269, 8409, 1510, 513, 9675, 786, 1404, 454, 11133, 2730, 5107, 609, 6067, 2644, 543, 27606, 2394, 646, 3587, 30616, 945, 13587, 1161, 454, 1278, 338, 865, 602, 646, 4991, 1018, 646, 6499, 269, 4935, 646, 568, 711, 2111, 547, 2697, 5128, 563, 11997, 267, 3406, 585, 707, 1378, 9675, 543, 519, 1655, 9675, 786, 454, 15276, 547, 4688, 596, 689, 9991, 1524, 269, 14970, 543, 917, 519, 2470, 540, 3054, 563, 15447, 519, 20144, 10397, 799, 786, 4688, 721, 269, 594, 1616, 596, 547, 1174, 713, 1454, 563, 8855, 835, 3364, 267, 798, 711, 2119, 547, 708, 10028, 13198, 836, 623, 5622, 269, 898, 568, 2352, 563, 6826, 1018, 596, 616, 269, 1684, 607, 596, 1589, 1018, 596, 666, 798, 543, 602, 596, 616, 8348, 547, 798, 563, 8333, 527, 3054, 538, 519, 4305, 269, 1684, 711, 2119, 547, 1689, 1866, 269, 898, 568, 4443, 547, 1689, 3054, 563, 2171, 949, 711, 581, 2111, 547, 1689, 1514, 2175, 269, 1284, 3112, 1689, 454, 1492, 1158, 610, 2831, 267, 855, 649, 666, 1689, 6000, 269, 21744, 707, 2383, 1281, 711, 1611, 454, 31742, 532, 1018, 3638, 1004, 798, 269, 5269, 873, 1294, 602, 649, 616, 513, 851, 540, 873, 267, 855, 2611, 454, 712, 2383, 269, 8347, 547, 1265, 707, 1378, 1259, 563, 2791, 3548, 7573, 267, 865, 1281, 13198, 836, 623, 5622, 269, 1411, 3207, 267, 13198, 836, 623, 5622, 849, 814, 547, 3207, 563, 7312, 12588, 568, 607, 1390, 607, 602, 540, 13198, 836, 623, 5622, 269, 634, 3017, 949, 581, 938, 454, 7562, 1356, 640, 538, 602, 649, 616, 12703, 2614, 547, 5721, 6000, 269, 1411, 723, 513, 1318, 547, 454, 323, 2570, 593, 3054, 543, 581, 5363, 547, 1866, 269, 1284, 723, 513, 1318, 547, 2149, 3054, 454, 553, 1134, 607, 547, 2149, 1866, 269, 1403, 713, 568, 707, 1259, 540, 3206, 267, 2119, 2182, 547, 3406, 585, 454, 32474, 267, 1831, 5827, 267, 543, 1628, 909, 2833, 267, 865, 602, 596, 798, 711, 4688, 1152, 454, 20365, 1345, 855, 1866, 267, 607, 1134, 607, 1373, 2178, 267, 4712, 547, 581, 513, 6205, 269, 901, 666, 454, 327, 1952, 523, 543, 621, 786, 711, 1118, 721, 967, 27075, 547, 519, 3801, 547, 1020, 6000, 563, 2252, 649, 1291, 7522, 2729, 267, 3970, 938, 4555, 267, 649, 786, 1451, 538, 513, 7522, 1259, 2676, 663, 1152, 1589, 540, 9494, 6000, 267, 9878, 1100, 3007, 547, 1018, 865, 1197, 4523, 547, 454, 1278, 338, 269, 901, 568, 547, 5721, 11009, 267, 5834, 543, 7326, 538, 513, 7522, 1259, 563, 2005, 568, 899, 18035, 532, 3054, 538, 513, 4158, 1158, 267, 538, 513, 7522, 7406, 267, 538, 513, 20585, 4055, 563, 763, 4743, 602, 621, 568, 711, 938, 1870, 568, 7522, 2247, 539, 1145, 269, 6270, 568, 519, 1272, 540, 454, 320, 18174, 267, 513, 9420, 267, 513, 27656, 11474, 610, 835, 945, 568, 2673, 547, 2669, 269, 898, 568, 513, 2495, 1652, 543, 454, 2252, 649, 1131, 1152, 1589, 649, 798, 1919, 1152, 585, 938, 2828, 267, 649, 2285, 1919, 1152, 454, 1729, 938, 14077, 267, 610, 649, 1616, 1152, 938, 11537, 547, 1205, 1919, 689, 721, 267, 649, 616, 2679, 454, 320, 21799, 547, 2322, 6000, 538, 269, 3776, 2702, 547, 1451, 568, 4742, 7522, 563, 11997, 267, 1930, 3054, 267, 1930, 707, 2295, 267, 1930, 707, 2247, 585, 1702, 563, 9596, 4922, 267, 5721, 3054, 547, 1831, 513, 575, 1853, 267, 513, 2671, 337, 267, 513, 2186, 1268, 547, 824, 454, 16579, 999, 269, 901, 786, 948, 721, 547, 917, 875, 547, 581, 513, 575, 1853, 543, 1018, 649, 723, 547, 2285, 563, 2026, 1279, 607, 649, 616, 18174, 880, 543, 7522, 2247, 539, 267, 649, 3112, 4096, 593, 6000, 2676, 553, 594, 723, 1767, 834, 32091, 5067, 267, 1018, 568, 519, 946, 540, 4758, 519, 9420, 513, 1396, 23156, 7790, 4840, 763, 2495, 540, 713, 4845, 568, 2110, 267, 855, 2965, 621, 814, 513, 2647, 25664, 566, 3248, 1492, 1268, 1281, 711, 1152, 6336, 1010, 8289, 267, 1010, 2247, 267, 1010, 9997, 267, 1010, 4743, 267, 1010, 2634, 2676, 20130, 1455, 2631, 543, 4555, 267, 855, 849, 3587, 9420, 563, 307, 1778, 3054, 865, 602, 972, 568, 1769, 538, 707, 9997, 267, 865, 602, 596, 917, 454, 7474, 1169, 8792, 540, 513, 575, 1853, 568, 3407, 269, 901, 568, 711, 2653, 269, 2142, 10583, 547, 581, 513, 575, 1853, 563, 2252, 649, 616, 535, 2607, 531, 649, 786, 581, 7522, 267, 543, 1831, 11821, 543, 6368, 786, 454, 2254, 917, 4376, 799, 5526, 547, 938, 2729, 563, 25748, 267, 594, 5143, 1004, 945, 3357, 547, 1294, 803, 834, 2252, 649, 798, 711, 1589, 454, 1993, 3478, 4376, 689, 1866, 267, 649, 786, 2744, 811, 982, 1018, 649, 2503, 563, 3719, 952, 649, 616, 6067, 9037, 543, 1616, 824, 1004, 781, 1919, 267, 18864, 786, 1589, 540, 721, 8487, 11997, 1451, 547, 581, 513, 575, 1853, 269, 12315, 856, 938, 9997, 543, 1973, 269, 901, 786, 1118, 454, 712, 2729, 811, 3407, 269, 5213, 1405, 2285, 1152, 547, 2828, 543, 14077, 269, 634, 2495, 454, 1993, 519, 2262, 834, 326, 1853, 257, 568, 1390, 269, 898, 568, 3379, 547, 17700, 269, 634, 2262, 17513, 568, 454, 4134, 323, 664 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18144, 543, 12485, 540, 891, 3463, 11051, 568, 1898, 547, 3384, 606, 2500, 8878, 4640, 780, 274, 269, 21414, 23977, 1676, 3809, 692, 5475, 7421, 1761, 6937, 267, 519, 1985, 1900, 568, 547, 6218, 16426, 1107, 9247, 267, 12755, 538, 707, 1949, 610, 3157, 602, 1223, 581, 23699, 676, 31487, 269, 5871, 16426, 538, 7746, 5054, 1331, 4617, 18538, 267, 796, 6312, 3481, 3301, 267, 543, 13817, 29664, 323, 3060, 5468, 780, 2414, 2697, 16426, 267, 621, 568, 1271, 547, 2932, 2834, 3354, 32116, 543, 21774, 4152, 5751, 269, 901, 786, 948, 596, 2697, 2127, 1141, 9283, 666, 581, 1500, 543, 2936, 3617, 4831, 1889, 9778, 780, 275, 269, 15233, 22388, 1889, 9778, 692, 5629, 16426, 723, 1044, 4857, 267, 519, 3803, 1900, 568, 547, 4019, 4831, 1889, 9778, 1107, 3527, 3144, 547, 2569, 610, 9004, 1346, 16426, 269, 6201, 540, 4831, 1889, 9778, 1331, 14304, 17452, 10873, 267, 7311, 15649, 543, 10311, 16425, 267, 543, 8848, 1005, 3595, 31486, 543, 31593, 7020, 1949, 780, 2005, 568, 849, 1271, 547, 2015, 2168, 3354, 3800, 267, 971, 607, 12145, 1569, 547, 7746, 11623, 543, 4180, 1697, 9023, 543, 14910, 269, 3958, 267, 18997, 5520, 593, 1655, 2853, 585, 10957, 2359, 267, 4757, 6165, 267, 543, 824, 1455, 4323, 10321, 666, 979, 513, 1279, 1259, 4724, 4227, 1981, 780, 276, 269, 18554, 543, 17797, 692, 7661, 267, 621, 568, 1898, 547, 11179, 6895, 543, 4188, 707, 744, 4916, 4488, 2994, 1759, 593, 4657, 6381, 269, 901, 2882, 9363, 909, 3562, 15082, 593, 6932, 6937, 267, 5781, 17265, 1569, 8060, 543, 20894, 18162, 267, 543, 10647, 5571, 2866, 543, 4656, 3292, 780, 3528, 1739, 891, 2947, 3268, 543, 6220, 744, 4916, 4488, 1655, 2853, 883, 707, 3232, 6296, 267, 596, 666, 3648, 2569, 519, 1981, 540, 9991, 6408, 547, 6880, 3430, 2931, 543, 824, 3354, 6937, 269, 6787, 596, 616, 28720, 13763, 585, 513, 674, 28232, 476, 4335, 2754, 610, 3274, 3168, 547, 2149, 707, 1378, 2123, 1239, 267, 2921, 513, 14942, 1935, 547, 3354, 568, 2565, 538, 2221, 781, 10562, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 20376, 12053, 15015, 32672, 1023, 634, 744, 4916, 4488, 5917, 1047, 4959, 3041, 717, 1161, 1677, 5589, 21209, 454, 1103, 519, 12687, 540, 519, 8303, 6285, 267, 2475, 2229, 8387, 723, 1044, 13047, 538, 741, 18149, 31766, 540, 14238, 267, 11021, 602, 2475, 3549, 899, 11197, 543, 5616, 723, 1973, 593, 741, 3946, 585, 32222, 547, 2285, 4987, 543, 1876, 11268, 8041, 1394, 13073, 547, 12260, 6075, 11436, 543, 1232, 7973, 6870, 10618, 269, 1809, 3377, 5359, 540, 519, 8303, 6285, 723, 7000, 602, 693, 2547, 930, 540, 519, 942, 267, 519, 9810, 1235, 3297, 519, 6285, 4769, 1406, 21898, 547, 946, 14238, 1247, 14379, 267, 3850, 8128, 547, 18448, 543, 1224, 741, 6835, 563, 763, 8261, 1443, 2478, 547, 2057, 1210, 17749, 1317, 922, 2385, 2754, 267, 9365, 267, 814, 513, 4057, 3950, 2594, 593, 7834, 563, 763, 3391, 729, 8385, 2854, 827, 513, 1032, 3516, 676, 513, 918, 17703, 7159, 328, 3354, 6109, 1634, 607, 15536, 28325, 547, 18973, 20859, 543, 2797, 15628, 538, 717, 18054, 593, 875, 547, 2149, 741, 9163, 267, 519, 3961, 540, 741, 2959, 543, 519, 8699, 540, 1344, 789, 1867, 269, 11370, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 27872, 20929, 1315, 9786, 1315, 631, 5425, 288, 8837, 18218, 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, 3848, 476, 280, 281, 3026, 4377, 11102, 1143, 910, 1879, 5295, 995, 8315, 8347, 547, 6513, 4033, 18831, 692, 5970, 596, 2479, 4862, 519, 2165, 834, 3712, 3415, 22172, 589, 12733, 568, 950, 513, 3532, 2197, 3217, 1852, 540, 513, 21260, 2197, 543, 2306, 621, 851, 540, 922, 1378, 4182, 269, 1280, 1383, 267, 4789, 1185, 1082, 10125, 782, 1472, 519, 1158, 1896, 4627, 1296, 3516, 269, 1809, 1018, 4523, 950, 1346, 2477, 1831, 4830, 286, 2052, 519, 3532, 6082, 1869, 723, 3310, 936, 873, 286, 8786, 267, 789, 666, 256, 901, 568, 1572, 683, 4377, 11102, 1143, 780, 5331, 713, 9183, 281, 589, 1895, 540, 2828, 6499, 547, 1404, 513, 3014, 1282, 12424, 267, 855, 972, 781, 1152, 835, 3440, 2139, 269, 2290, 3659, 6770, 1776, 3440, 267, 1818, 3025, 6126, 1317, 1631, 811, 1004, 666, 6443, 519, 3014, 269, 1717, 267, 1310, 930, 942, 267, 519, 1101, 3659, 6238, 14045, 799, 3756, 666, 581, 5129, 609, 1010, 3440, 543, 1141, 519, 824, 3214, 666, 1404, 609, 621, 269, 4634, 1498, 646, 3085, 1405, 20248, 1378, 519, 2898, 19209, 267, 646, 814, 1379, 936, 875, 1866, 946, 519, 2034, 3440, 269, 2334, 781, 2147, 547, 1018, 683, 4377, 11102, 1143, 5654, 899, 1063, 6082, 780, 4131, 781, 1413, 693, 606, 1383, 5473, 1483, 2477, 1384, 1103, 519, 2038, 476, 736, 628, 2540, 267, 3864, 7060, 5258, 4000, 883, 1114, 11182, 267, 9013, 741, 2200, 543, 11615, 269, 3683, 942, 267, 1034, 3979, 2477, 6591, 7115, 267, 2495, 789, 1100, 3476, 20705, 547, 1022, 4914, 1379, 269, 1717, 267, 891, 9241, 4830, 2829, 1419, 5185, 2591, 971, 607, 6710, 267, 16132, 267, 543, 3668, 540, 2413, 2029, 3379, 547, 2919, 2477, 269, 1306, 513, 1267, 267, 1082, 5828, 547, 14547, 6082, 585, 948, 267, 2870, 3255, 585, 683, 4377, 11102, 1143, 780, 3080, 1554, 267, 513, 2462, 3282, 2754, 689, 513, 3532, 2197, 4941, 547, 1628, 606, 3282, 18180, 998, 513, 1507, 3979, 2197, 630, 2280, 781, 1289, 621, 13474, 2473, 1040, 1677, 798, 713, 267, 789, 6035, 2724, 543, 6009, 547, 13474, 2473, 781, 2229, 267, 9621, 13884, 543, 1646, 269, 2201, 1957, 267, 3388, 6743, 1390, 282, 2705, 267, 2899, 4070, 3323, 267, 519, 2754, 3459, 9117, 899, 621, 11262, 519, 1747, 269, 898, 1500, 7569, 827, 2679, 3652, 267, 13684, 22717, 952, 1919, 14201, 1405, 2944, 4010, 607, 789, 1767, 267, 543, 1256, 4547, 538, 4600, 689, 741, 1753, 2197, 3079, 540, 17849, 17137, 269, 17652, 267, 13474, 2473, 7691, 602, 1247, 789, 22821, 1405, 4503, 2797, 1852, 267, 789, 1185, 8197, 4503, 1454, 540, 741, 3375, 6194, 1379, 3823, 519, 1788, 780, 1607, 3510, 9727, 683, 4377, 11102, 1143, 1107, 950, 3532, 6082, 610, 3549, 2226, 1852, 610, 3310, 936, 1447, 3532, 3283, 1210, 2804, 1797, 2864, 982, 1463, 2797, 4341, 269, 2755, 683, 4377, 11102, 1143, 1522, 3100, 1732, 982, 30739, 9562, 630, 528, 19525, 1070, 621, 666, 1291, 547, 21376, 3347, 267, 14226, 267, 543, 2530, 540, 16285, 630, 1492, 1318, 547, 1827, 3294, 264, 585, 4130, 6082, 780, 3383, 1985, 942, 596, 5873, 827, 3486, 12352, 610, 11650, 267, 3314, 547, 1589, 827, 2436, 1312, 5011, 616, 5963, 3160, 610, 952, 835, 949, 3180, 811, 1379, 3297, 519, 10207, 269, 4197, 683, 4377, 11102, 1143, 786, 948, 596, 5431, 12604, 2331, 3871, 543, 5000, 14619, 1851, 782, 6105, 3238, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10711, 271, 3108, 267, 5988, 476, 278, 267, 476, 1001, 279, 563, 763, 6679, 2892, 17383, 540, 25044, 729, 865, 7920, 602, 1977, 10136, 3576, 3382, 538, 16541, 32440, 585, 4027, 269, 2991, 519, 3046, 14141, 267, 513, 6241, 540, 6739, 13688, 4359, 593, 741, 7158, 267, 20590, 741, 476, 10219, 2173, 650, 9014, 2881, 4958, 15963, 693, 7980, 269, 1358, 8120, 3595, 267, 855, 621, 729, 711, 2614, 547, 1065, 592, 572, 519, 13688, 269, 1358, 941, 538, 8594, 540, 1373, 936, 14725, 563, 288, 2319, 540, 827, 476, 1789, 2027, 4238, 4229, 729, 8930, 2740, 1524, 693, 513, 1230, 27494, 3154, 2030, 269, 681, 5699, 476, 736, 5195, 2476, 267, 513, 2319, 540, 5682, 645, 699, 1206, 543, 513, 3531, 3019, 540, 3057, 1149, 588, 1563, 693, 741, 2780, 13819, 267, 8384, 519, 20473, 20555, 540, 519, 6370, 269, 4256, 7104, 5692, 729, 547, 9718, 519, 1230, 27494, 9744, 267, 7258, 918, 6324, 880, 543, 6259, 4229, 269, 3143, 835, 4397, 606, 10546, 6186, 1819, 14213, 563, 16920, 22326, 873, 941, 476, 4335, 24271, 523, 2456, 267, 21534, 676, 6576, 267, 945, 22234, 25044, 267, 6186, 1819, 10986, 19057, 267, 543, 570, 268, 7761, 1292, 6370, 13688, 269, 1452, 941, 711, 519, 20419, 880, 14739, 1076, 13269, 676, 21035, 543, 5375, 533, 1495, 1080, 269, 901, 729, 519, 25538, 1676, 6828, 267, 513, 4357, 4108, 2754, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10468, 4377, 11102, 1143, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 15875, 1143, 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, 8080, 547, 938, 4241, 3460, 998, 519, 13300, 540, 5614, 256, 1306, 649, 1900, 3544, 1282, 891, 3636, 3275, 267, 972, 781, 865, 1454, 547, 1294, 543, 5873, 910, 2523, 519, 4190, 8964, 540, 1114, 5017, 269, 4653, 267, 596, 786, 1451, 827, 875, 649, 666, 946, 6909, 2029, 1572, 834, 14752, 26634, 30069, 257, 547, 5660, 1312, 2575, 543, 2470, 693, 519, 1482, 942, 269, 901, 1259, 267, 649, 666, 23365, 6000, 538, 519, 1623, 21620, 540, 5614, 1247, 1869, 1373, 3222, 540, 938, 10450, 269, 1924, 1577, 781, 4685, 538, 2439, 1262, 272, 269, 1548, 616, 5642, 26634, 30069, 286, 12533, 14343, 19567, 2791, 1522, 723, 2938, 1004, 9849, 2834, 1274, 321, 644, 338, 610, 9843, 1115, 267, 855, 5642, 26634, 30069, 960, 8335, 269, 5502, 540, 17527, 707, 10772, 899, 2757, 3283, 267, 789, 6494, 6263, 21513, 998, 707, 32336, 321, 2158, 2786, 547, 707, 6418, 1274, 269, 898, 949, 3280, 9490, 267, 855, 1589, 540, 621, 607, 2348, 513, 2370, 5728, 13447, 1175, 585, 596, 256, 901, 3762, 707, 10772, 1930, 547, 6432, 547, 824, 4992, 1472, 596, 780, 1262, 273, 269, 4208, 1131, 649, 1616, 547, 946, 873, 1247, 6177, 342, 10248, 286, 12533, 24801, 15365, 5331, 6972, 2059, 513, 4104, 13009, 593, 513, 13566, 1554, 267, 6947, 547, 930, 3579, 26107, 1107, 10393, 267, 596, 5873, 513, 1007, 23260, 4947, 689, 1164, 909, 538, 519, 4054, 256, 2334, 781, 1141, 6177, 342, 10248, 2501, 538, 269, 2060, 5642, 26634, 30069, 267, 596, 1810, 1405, 991, 547, 2490, 1055, 707, 2575, 4625, 282, 3079, 267, 2539, 922, 4320, 543, 3136, 9240, 8221, 9900, 607, 596, 2119, 547, 5544, 519, 13465, 6177, 269, 1411, 4465, 1405, 4413, 1022, 10475, 7643, 1317, 707, 10772, 2611, 20114, 267, 3850, 596, 547, 3713, 1256, 25861, 669, 597, 1186, 780, 2162, 476, 274, 269, 1215, 798, 789, 948, 721, 1921, 1732, 609, 938, 6068, 3283, 2496, 2691, 7836, 2298, 942, 13964, 609, 2828, 610, 1920, 2818, 267, 2519, 9003, 593, 1142, 824, 666, 3006, 1745, 11566, 269, 24942, 26634, 30069, 1683, 606, 5140, 14207, 1063, 2123, 9913, 543, 1895, 2238, 269, 1358, 5512, 3025, 547, 2972, 741, 6074, 13475, 1247, 4687, 12300, 8090, 1927, 269, 1280, 1383, 267, 4952, 2469, 593, 513, 1187, 30382, 609, 707, 1655, 3659, 282, 1631, 267, 4605, 7234, 782, 12204, 540, 4277, 1919, 596, 7237, 2059, 519, 2619, 6730, 795, 2459, 532, 547, 707, 1699, 5172, 5152, 269, 16319, 5863, 267, 3085, 1405, 621, 2496, 2971, 476, 275, 269, 5808, 3116, 1223, 4324, 689, 891, 2027, 30069, 2496, 10144, 609, 1978, 2010, 540, 6217, 2530, 1419, 6560, 547, 1174, 4633, 5693, 952, 4282, 6846, 568, 1932, 10978, 269, 4595, 5642, 26634, 30069, 4734, 707, 10772, 6534, 267, 789, 666, 5351, 2043, 6849, 971, 2591, 269, 1635, 10893, 19240, 543, 7586, 4328, 5551, 4992, 5594, 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 ]
[ 1219, 8769, 320, 7272, 3205, 1446, 4311, 2187, 1038, 8769, 320, 815, 535, 12163, 1038, 4515, 559, 334, 281, 2715, 22923, 324, 269, 2889, 16344, 334, 8679, 1038, 4856, 810, 1019, 18638, 281, 2715, 1345, 6983, 528, 810, 318, 13231, 1470, 8679, 1038, 8173, 1038, 2132, 2706, 14061, 2675, 1117, 320, 7272, 3205, 1446, 3890, 266, 2675, 1117, 320, 22562, 825, 1948, 3698, 514, 3554, 334, 19448, 1187, 345, 7748, 1750, 524, 328, 829, 5471, 974, 1019, 524, 3711, 328, 732, 24924, 4164, 564, 549, 1351, 810, 318, 13231, 1470, 1019, 6449, 8181, 1029, 454, 825, 1219, 524, 3711, 1470, 6831, 528, 810, 4311, 267, 14585, 810, 2187, 1038, 1582, 6983, 528, 810, 318, 13231, 1470, 815, 1351, 810, 692, 5035, 769, 572, 3913, 14397, 27456, 3205, 320, 2187, 825, 1527, 559, 334, 815, 834, 1103, 572, 3913, 14397, 4840, 825, 1219, 6449, 8181, 9191, 1345, 267, 562, 727, 267, 26256, 727, 267, 1696, 14504, 267, 4036, 27833, 267, 544, 831, 807, 22561, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 333, 727, 267, 26256, 727, 267, 1696, 14504, 267, 4036, 27833, 994, 1038, 952, 544, 831, 807, 2652, 7183, 912, 2018, 1582, 6230, 831, 807, 815, 11713, 1038, 3116, 912, 2018, 1582, 6230, 831, 807, 284, 544, 831, 807, 22562, 825, 1219, 8769, 320, 7272, 3205, 1446, 4311, 2187, 1038, 8769, 320, 815, 535, 12163, 1038, 4515, 559, 334, 281, 2715, 1103, 572, 3913, 14397, 269, 2889, 16344, 334, 8679, 1038, 631, 831, 773, 538, 572, 3913, 622, 281, 2715, 1345, 6230, 831, 807, 8679, 1038, 8173, 1038, 2132, 2706, 14061, 2675, 1117, 320, 7272, 3205, 1446, 3890, 266, 2675, 1117, 320, 1948, 538, 1391, 334, 8732, 334, 3288, 1187, 345, 269, 2706, 3890, 543, 337, 14504, 513, 3638, 3554, 732, 1775, 4164, 564, 686, 812, 322, 21468, 782, 320, 804, 21692, 14950, 516, 1341, 4164, 564, 686, 8769, 320, 521, 1638, 320, 804, 21692, 669, 3554, 14397, 22562, 825, 1948, 3698, 514, 8646, 19448, 1187, 345, 542, 320, 1750, 11465, 829, 5471, 974, 1019, 4903, 328, 25128, 516, 19448, 544, 831, 807, 620, 4164, 564, 549, 30458, 544, 831, 773, 1019, 6449, 8181, 1029, 454, 825, 1219, 4903, 1640, 7224, 8548, 831, 773, 4311, 19885, 340, 13960, 2187, 1038, 952, 8356, 13960, 711, 538, 1582, 6230, 831, 807, 912, 2018, 1582, 6230, 831, 807, 6910, 3799, 340, 13960, 2020, 13231, 25366, 318, 684, 334, 815, 9906, 324, 2891, 290, 2077, 2088, 2580, 834, 312, 836, 2580, 476, 2764, 267, 834, 5575, 22971, 14824, 25205, 13519, 6391, 5602, 20600, 3913, 14397, 318, 684, 334, 815, 769, 572, 3913, 14397, 2891, 300, 4275, 24229, 2580, 834, 289, 320, 13704, 2580, 476, 5325, 267, 834, 13553, 22971, 2580, 22373, 14197, 6391, 257, 7481, 258, 583, 559, 11170, 334, 3288, 1187, 345, 7748, 4903, 1640, 7224, 8548, 831, 773, 546, 7578, 804, 21692, 769, 572, 3913, 14397, 829, 4903, 328, 25128, 516, 796, 3693, 334, 782, 320, 30458, 454, 20600, 3913, 14397, 318, 684, 334, 269, 12000, 1640, 7224, 8548, 831, 773, 2891, 28770, 11765, 4055, 5602, 258, 560, 2086, 334, 3288, 8769, 320, 1268, 1446, 546, 749, 262, 690, 1326, 1729, 538, 572, 3913, 14397, 318, 684, 334, 17585, 334, 19011, 4903, 328, 2863, 334, 796, 8356, 26785, 3693, 334, 620, 4164, 564, 549, 544, 831, 773, 454, 2745, 263, 20600, 3913, 14397, 318, 684, 334, 31892, 1117, 320, 7272, 3205, 1446, 15405, 258, 5055, 1187, 345, 7748, 948, 524, 328, 513, 328, 25917, 740, 513, 3164, 796, 22712, 549, 1252, 1446, 546, 749, 262, 1229, 527, 926, 564, 14504, 3097, 28744, 263, 15276, 263, 22923, 324, 11723, 0, 258, 26705, 1154, 513, 5903, 692, 3698, 1106, 19056, 10031, 825, 1913, 815, 3403, 2891, 11767, 707, 2262, 610, 2046, 4283, 547, 1401, 527, 19515, 825, 1250, 318, 6919, 815, 11713, 825, 1247, 1913, 11203, 834, 13426, 1038, 1250, 318, 6919, 6910, 263, 6919, 994, 1038, 1913, 815, 3403, 2891, 11767, 707, 2262, 610, 2046, 4283, 547, 1401, 527, 19515, 825, 952, 7003, 30044, 318, 6919, 264, 2652, 476, 272, 912, 1038, 2132, 1193, 30044, 318, 6919, 314, 271, 7481, 825, 952, 7003, 30044, 318, 6919, 264, 2652, 476, 273, 912, 1038, 2132, 1193, 30044, 318, 6919, 314, 271, 27994, 257, 543, 834, 266, 1250, 318, 6919, 314, 272, 7481, 825, 1592, 318, 3240, 318, 6919, 815, 834, 4840, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 30044, 318, 6919, 9984, 273, 2187, 1038, 1592, 318, 3240, 318, 6919, 6834, 1193, 30044, 318, 6919, 5157, 27994, 2580, 19515, 825, 1592, 318, 3240, 318, 6919, 6834, 1193, 30044, 318, 6919, 15631, 273, 316, 1341, 834, 543, 834, 1341, 1250, 318, 6919, 15631, 272, 7481, 825, 2132, 1592, 318, 3240, 318, 6919, 692, 14030, 25639, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1250, 8217, 815, 1106, 19056, 4590, 825, 1820, 30044, 8217, 2020, 672, 0, 258, 570, 1389, 11378, 585, 5048, 543, 6521, 267, 538, 1388, 2478, 24290, 3097, 3698, 1292, 10031, 13537, 9497, 8702, 547, 19332, 29196, 14826, 5602, 13537, 9497, 13117, 4499, 2525, 7807, 333, 5602, 13537, 9497, 272, 269, 7402, 7973, 14826, 273, 269, 5463, 7973, 14826, 274, 269, 3367, 3758, 5602, 453, 641, 5406, 815, 703, 9272, 2891, 29682, 281, 834, 11723, 14851, 4781, 11203, 476, 274, 912, 453, 453, 332, 20687, 815, 3403, 19304, 2891, 8923, 4283, 513, 3948, 281, 27328, 453, 453, 3333, 3424, 815, 703, 9272, 2891, 11767, 6521, 1297, 281, 834, 11723, 14851, 4781, 2652, 476, 272, 912, 453, 453, 16780, 7973, 9852, 20687, 267, 6521, 994, 453, 19197, 4781, 2652, 476, 273, 912, 453, 453, 20657, 7973, 9852, 20687, 267, 6521, 994, 453, 19197, 4781, 2652, 476, 274, 912, 453, 453, 12803, 5649, 4590, 28432, 912, 453, 13537, 2891, 13286, 910, 769, 20777, 14893, 5602, 453, 453, 10852, 10797, 3698, 17278, 9852, 20687, 267, 6521, 2187, 453, 16780, 7973, 539, 815, 1412, 7055, 22610, 1775, 538, 2039, 12759, 9852, 20687, 15892, 453, 14851, 5048, 5157, 4940, 529, 10401, 10031, 4848, 14851, 5048, 5157, 4940, 529, 12294, 10031, 15235, 453, 11133, 815, 3921, 9852, 20687, 5157, 8079, 1341, 6521, 454, 15235, 14851, 1003, 3436, 3921, 3488, 345, 262, 2187, 20930, 453, 11133, 20699, 476, 2918, 454, 20930, 453, 16780, 7973, 539, 6834, 669, 337, 16325, 994, 15235, 453, 19197, 1003, 2999, 3921, 3488, 320, 262, 2187, 20930, 453, 11133, 6834, 476, 2918, 454, 20930, 453, 16780, 7973, 539, 6834, 669, 337, 16325, 994, 15235, 28432, 912, 20930, 453, 16780, 7973, 539, 6834, 669, 337, 16325, 994, 4848, 453, 19197, 5048, 5157, 4940, 529, 21639, 10031, 15235, 453, 11133, 815, 3921, 9852, 20687, 5157, 8079, 1341, 6521, 454, 15235, 14851, 1003, 3436, 3921, 3488, 313, 262, 2187, 20930, 453, 11133, 20699, 476, 2918, 454, 20930, 453, 16780, 7973, 539, 6834, 669, 337, 16325, 994, 15235, 453, 19197, 1003, 283, 3921, 3488, 288, 262, 2187, 20930, 453, 11133, 6834, 476, 2918, 454, 20930, 453, 16780, 7973, 539, 6834, 476, 2918, 454, 15235, 28432, 912, 20930, 453, 16780, 7973, 539, 6834, 669, 337, 16325, 994, 453, 453, 19197, 3921, 9852, 20687, 5157, 8079, 2652, 476, 3953, 912, 4848, 453, 16780, 7973, 539, 6834, 1412, 1412, 454, 453, 28432, 912, 4848, 453, 16780, 7973, 539, 6834, 5048, 5157, 2639, 13537, 263, 16780, 7973, 539, 994, 453, 12803, 31095, 263, 16780, 7973, 539, 2020, 3698, 3758, 31095, 263, 16780, 7973, 539, 2187, 453, 12803, 815, 1930, 3488, 332, 20687, 17902, 3299, 1412, 342, 5073, 453, 12803, 22182, 263, 16780, 7973, 539, 994, 453, 12803, 25379, 4590, 13537, 630, 325, 10454, 5048, 2715, 16780, 7973, 539, 9574, 814, 1044, 6707, 2854, 547, 2715, 12803, 20508, 348, 15419, 3698, 1232, 7973, 9852, 20687, 267, 6521, 2187, 453, 20657, 7973, 539, 815, 1412, 7055, 22610, 1775, 538, 2039, 12759, 9852, 20687, 15892, 453, 14851, 5048, 5157, 4940, 529, 10401, 10031, 4848, 14851, 5048, 5157, 4940, 529, 12294, 10031, 15235, 453, 11133, 815, 3921, 9852, 20687, 5157, 8079, 910, 6521, 454, 15235, 14851, 1003, 3436, 3921, 3488, 345, 262, 2187, 20930, 453, 11133, 20699, 476, 2918, 454, 20930, 453, 20657, 7973, 539, 6834, 669, 337, 16325, 994, 15235, 453, 19197, 1003, 2999, 3921, 3488, 320, 262, 2187, 20930, 453, 11133, 6834, 476, 2918, 454, 20930, 453, 20657, 7973, 539, 6834, 669, 337, 16325, 994, 15235, 28432, 912, 20930, 453, 20657, 7973, 539, 6834, 669, 337, 16325, 994, 4848, 453, 19197, 5048, 5157, 4940, 529, 21639, 10031, 15235, 453, 11133, 815, 3921, 9852, 20687, 5157, 8079, 910, 6521, 454, 15235, 14851, 1003, 3436, 3921, 3488, 313, 262, 2187, 20930, 453, 11133, 20699, 476, 2918, 454, 20930, 453, 20657, 7973, 539, 6834, 669, 337, 16325, 994, 15235, 453, 19197, 1003, 283, 3921, 3488, 288, 262, 2187, 20930, 453, 11133, 6834, 476, 2918, 454, 20930, 453, 20657, 7973, 539, 6834, 669, 337, 16325, 994, 15235, 28432, 912, 20930, 453, 20657, 7973, 539, 6834, 669, 337, 16325, 994, 453, 453, 19197, 3921, 9852, 20687, 5157, 8079, 2652, 476, 3953, 912, 4848, 453, 20657, 7973, 539, 6834, 1412, 1412, 454, 453, 28432, 912, 4848, 453, 20657, 7973, 539, 6834, 5048, 5157, 2639, 13537, 263, 20657, 7973, 539, 2020, 3698, 3758, 5649, 10031, 453, 332, 20687, 815, 1412, 7055, 453, 12803, 815, 1930, 2891, 332, 20687, 17902, 2580, 834, 337, 5602, 453, 332, 20687, 6834, 3758, 18667, 1467, 4590, 453, 3333, 3424, 815, 703, 9272, 2891, 11767, 6521, 281, 27328, 453, 12803, 25379, 4590, 453, 20657, 7973, 9852, 20687, 267, 6521, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 453, 10852, 3890, 0, 421, 355, 500, 10429, 486, 18021, 498, 13644, 354, 28997, 501, 24731, 11590, 490, 9463, 487, 21550, 495, 7511, 31006, 27962, 418, 371, 365, 18021, 355, 8147, 25203, 368, 26406, 354, 19540, 503, 22047, 31878, 16583, 30936, 13213, 498, 18713, 508, 30244, 14748, 31006, 27962, 418, 371, 365, 18021, 355, 8147, 10524, 492, 26033, 490, 18777, 350, 28997, 501, 24731, 14395, 377, 18021, 355, 25707, 31284, 30837, 351, 16533, 365, 15159, 28884, 421, 479, 491, 31308, 484, 11590, 490, 9463, 487, 21550, 495, 10524, 492, 26033, 490, 21928, 12255, 14756, 482, 18809, 20693, 510, 24662, 14756, 497, 30536, 29219, 25707, 16043, 495, 10524, 361, 10429, 486, 23521, 354, 419, 506, 489, 21588, 361, 13601, 27310, 8147, 13200, 365, 30678, 21550, 373, 14756, 497, 30536, 9463, 359, 20069, 22047, 8147, 19867, 478, 23284, 21588, 361, 13601, 27310, 9463, 359, 421, 506, 478, 28884, 418, 493, 496, 24662, 22047, 12255, 21211, 8147, 21251, 28997, 350, 30244, 13601, 27310, 14035, 504, 16533, 495, 14748, 12916, 491, 419, 377, 362, 8147, 16043, 495, 10524, 361, 421, 25693, 15159, 21928, 31006, 18809, 25426, 368, 7511, 12916, 491, 419, 377, 362, 418, 493, 496, 24662, 14756, 497, 30536, 29219, 25707, 31284, 30837, 351, 23521, 354, 419, 506, 489, 21588, 361, 11590, 490, 27310, 8147, 16043, 495, 10524, 361, 10524, 498, 14756, 484, 25335, 480, 21382, 509, 23746, 23284, 9463, 495, 27064, 364, 8147, 417, 28187, 31563, 16043, 495, 10524, 361, 16533, 484, 30244, 13601, 27310, 26166, 20992, 26266, 355, 9463, 367, 4970, 353, 421, 481, 357, 26166, 8147, 421, 480, 352, 18263, 486, 418, 493, 496, 24662, 7511, 12916, 491, 419, 377, 362, 13213, 502, 15159, 21928, 30006, 493, 13601, 421, 481, 357, 26166, 7511, 18809, 25426, 368, 12916, 491, 419, 377, 362, 8147, 454, 30244, 21550, 371, 16043, 495, 10524, 361, 9463, 359, 28884, 420, 25693, 419, 350, 362, 27936, 26166, 29873, 7511, 421, 481, 357, 26166, 7511, 26266, 355, 9463, 367, 20001, 373, 419, 499, 490, 12916, 491, 419, 377, 362, 8147, 16533, 365, 419, 509, 354, 421, 479, 497, 418, 493, 496, 24662, 14756, 497, 30536, 7511, 12916, 491, 419, 377, 362, 29072, 8147, 454, 19867, 478, 23284, 18021, 498, 13644, 354, 15159, 12916, 379, 17958, 26166, 418, 366, 375, 25622, 7511, 26233, 507, 420, 371, 363, 25707, 21928, 20881, 496, 25051, 496, 16583, 30936, 18809, 8147, 417, 28187, 31563, 25051, 497, 31176, 491, 27161, 21251, 11858, 502, 21928, 16043, 500, 26033, 483, 25051, 497, 31176, 491, 418, 371, 365, 18021, 355, 420, 370, 483, 13213, 485, 29072, 31006, 27962, 418, 371, 365, 18021, 355, 25203, 368, 26406, 354, 13213, 498, 18713, 508, 8147, 12571, 355, 10254, 503, 16533, 365, 14756, 503, 18809, 25426, 368, 12916, 491, 419, 377, 362, 420, 369, 489, 29219, 20992, 14756, 497, 30536, 29219, 8147, 454, 419, 482, 370, 12571, 492, 28098, 30678, 26266, 355, 31878, 14756, 497, 30536, 8147, 420, 490, 481, 18713, 368, 15159, 26266, 355, 20001, 373 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8978, 1433, 949, 723, 3875, 1462, 657, 543, 7508, 1257, 269, 623, 3420, 553, 619, 666, 2356, 4647, 513, 1863, 1085, 10165, 5299, 540, 519, 3312, 1433, 630, 23719, 1462, 657, 264, 689, 519, 17404, 269, 3502, 4994, 539, 269, 3502, 11609, 269, 476, 4489, 276, 7160, 269, 1401, 1356, 696, 281, 3267, 263, 14179, 269, 1775, 269, 1535, 343, 643, 1040, 3371, 729, 513, 4605, 547, 12954, 519, 4987, 267, 519, 9345, 543, 519, 20440, 540, 513, 1762, 11464, 269, 634, 840, 32383, 540, 25816, 322, 564, 543, 519, 3140, 1806, 799, 646, 3947, 540, 741, 3498, 13822, 1927, 513, 2407, 22612, 883, 519, 1148, 540, 2112, 607, 621, 729, 1634, 547, 519, 1655, 8186, 540, 519, 22733, 2540, 269, 1358, 949, 581, 9833, 607, 922, 8106, 1163, 3789, 269, 1323, 11464, 28093, 4240, 609, 713, 1560, 540, 14985, 1131, 723, 519, 1655, 7214, 28459, 585, 519, 2932, 540, 513, 2112, 543, 585, 519, 4287, 540, 606, 7952, 609, 799, 519, 22733, 2540, 1223, 3761, 1864, 269, 634, 1995, 540, 645, 5766, 12340, 4951, 602, 519, 7214, 28730, 540, 519, 2489, 1131, 711, 3411, 823, 585, 1967, 269, 898, 2838, 547, 581, 29979, 676, 513, 5676, 1441, 7952, 543, 676, 513, 5462, 6554, 269, 4935, 676, 519, 568, 339, 4864, 267, 476, 9692, 272, 267, 950, 519, 28365, 5717, 538, 519, 3943, 7952, 1185, 16358, 1242, 883, 17386, 6042, 585, 519, 16590, 543, 6044, 540, 519, 26462, 267, 782, 519, 2175, 11478, 585, 519, 7214, 2866, 540, 519, 1007, 2489, 585, 269, 7247, 2871, 756, 1068, 329, 13195, 3168, 269, 1703, 729, 513, 8106, 3069, 540, 2112, 267, 972, 729, 513, 1007, 6891, 29596, 20678, 547, 6318, 1252, 1023, 1222, 547, 513, 2362, 1379, 269, 570, 297, 773, 318, 8882, 656, 787, 318, 297, 328, 611, 4362, 519, 3029, 540, 4720, 1655, 14018, 585, 329, 1492, 14049, 609, 799, 621, 729, 11439, 267, 585, 8112, 543, 10688, 540, 812, 4141, 12320, 516, 269, 634, 29816, 10492, 1185, 6603, 513, 3020, 543, 2312, 17748, 540, 519, 5692, 540, 741, 6186, 269, 634, 25044, 267, 2059, 5976, 922, 1007, 326, 12584, 267, 1185, 9715, 513, 1007, 2070, 540, 922, 7060, 269, 3371, 941, 4712, 782, 519, 2326, 799, 513, 4195, 543, 24526, 2247, 267, 6273, 676, 519, 786, 547, 4487, 873, 267, 1223, 711, 855, 9192, 883, 513, 1007, 1062, 269, 1809, 1354, 602, 1223, 4755, 972, 1590, 581, 267, 607, 2871, 756, 1068, 1185, 2062, 16308, 267, 513, 1007, 6554, 543, 513, 1007, 7952, 269, 634, 5169, 540, 519, 1007, 6554, 621, 568, 2483, 324, 9349, 634, 3943, 8136, 6969, 19167, 282, 700, 624, 999, 5548, 9121, 6969, 519, 2160, 540, 10228, 538, 7812, 5733, 12910, 267, 476, 4489, 275, 0, 16729, 616, 1603, 5439, 602, 723, 1044, 23064, 547, 9414, 519, 7355, 2838, 547, 2743, 519, 4441, 585, 2488, 1806, 4143, 547, 519, 1888, 269, 634, 1557, 568, 519, 1034, 1271, 851, 540, 513, 2852, 813, 961, 1709, 267, 1294, 3732, 3594, 3501, 585, 713, 3296, 3568, 1079, 1806, 540, 1434, 2852, 3594, 269, 634, 1739, 1603, 10070, 616, 689, 14248, 338, 538, 9344, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 543, 1164, 2404, 609, 267, 585, 1383, 267, 7713, 513, 3621, 610, 6310, 1184, 11783, 12989, 649, 2709, 1079, 1806, 540, 15826, 14436, 3594, 602, 3927, 543, 524, 328, 781, 2875, 1603, 1357, 3135, 814, 875, 3562, 7044, 267, 1603, 5439, 585, 1114, 563, 763, 5207, 610, 9803, 1383, 540, 1142, 6060, 1448, 538, 1142, 6389, 585, 811, 1344, 593, 519, 1603, 10274, 2139, 547, 1053, 543, 519, 6299, 7879, 1031, 547, 6060, 269, 6201, 540, 2500, 1509, 657, 616, 1336, 538, 519, 2985, 585, 707, 2689, 782, 519, 1863, 1603, 5439, 3254, 666, 581, 22434, 3842, 519, 4647, 3095, 7735, 2630, 269, 1323, 2254, 730, 2875, 1603, 5439, 20515, 519, 5610, 540, 1543, 2039, 540, 1603, 2488, 2789, 1806, 540, 2875, 1603, 1369, 513, 3446, 2066, 513, 269, 7490, 4063, 281, 5439, 2992, 3105, 1032, 781, 4808, 543, 616, 538, 1100, 1880, 1931, 2638, 1699, 4808, 970, 18556, 10389, 1603, 5439, 3732, 476, 272, 563, 1607, 4015, 540, 3446, 7400, 1603, 5439, 2488, 3610, 540, 7005, 1893, 6267, 609, 1806, 540, 2875, 1603, 693, 1142, 15334, 1377, 269, 634, 23487, 539, 1603, 3732, 1923, 6530, 2221, 8940, 17595, 1108, 339, 3736, 1260, 270, 639, 270, 24108, 270, 3249, 518, 20675, 1431, 270, 1220, 3445, 277, 270, 1492, 1673, 1348, 539, 2914, 3876, 1606, 2217, 269, 12989, 616, 930, 6402, 547, 1603, 5439, 10356, 689, 1053, 693, 513, 3099, 540, 946, 1808, 1806, 630, 8117, 5225, 1100, 4408, 264, 543, 2312, 563, 2304, 1557, 568, 513, 11295, 4062, 540, 1603, 10704, 593, 513, 1888, 621, 666, 581, 2239, 267, 10388, 267, 610, 12819, 5103, 922, 8560, 267, 1557, 1603, 568, 711, 269, 27842, 540, 27564, 1603, 575, 2801, 559, 613, 19073, 560, 568, 14102, 676, 519, 4116, 2069, 3296, 630, 5052, 264, 540, 519, 8257, 540, 2069, 543, 1983, 630, 9188, 264, 519, 3028, 568, 269, 18391, 585, 513, 1788, 11556, 1383, 610, 513, 10959, 18747, 666, 581, 4835, 630, 5976, 514, 707, 3919, 264, 610, 5007, 630, 25740, 689, 835, 4830, 563, 22879, 5439, 602, 723, 1100, 2124, 341, 3599, 547, 707, 2872, 270, 1410, 13630, 1047, 585, 1383, 267, 513, 3860, 610, 2239, 1603, 3732, 1131, 711, 581, 3617, 950, 7311, 547, 269, 769, 3685, 281, 4358, 519, 1603, 1184, 840, 8586, 630, 514, 3685, 264, 23064, 12190, 13132, 23064, 15853, 1383, 23064, 15853, 5439, 269, 27842, 20515, 1018, 2500, 2239, 1603, 1522, 1413, 899, 693, 1142, 3446, 1377, 891, 4773, 1683, 1806, 540, 2875, 1603, 585, 968, 320, 2039, 540, 563, 16240, 5439, 2436, 596, 616, 7311, 585, 513, 2816, 267, 22631, 1222, 267, 610, 547, 10927, 3506, 267, 596, 949, 581, 4280, 547, 1683, 513, 1603, 3732, 1603, 5439, 1450, 606, 1547, 12726, 15885, 2854, 547, 2185, 11095, 1603, 2157, 585, 1142, 1257, 1826, 2285, 1053, 2312, 1806, 540, 519, 2934, 543, 3889, 540, 1142, 1257, 1826, 269, 3367, 938, 1863, 3732, 476, 1408, 1206, 3594, 547, 1294, 1018, 568, 4397, 689, 596, 538, 519, 6422, 2511, 267, 3079, 540, 3668, 540, 2511, 1806, 267, 3877, 543, 5912, 1913, 11783, 1879, 596, 991, 606, 1383, 2854, 676, 513, 2875, 267, 2638, 856, 938, 5318, 4015, 540, 1863, 2875, 3631, 20801, 998, 519, 1592, 267, 610, 3406, 585, 513, 7154, 540, 1603, 971, 563, 31955, 1603, 5439, 713, 2985, 786, 4183, 513, 3126, 540, 4574, 11643, 538, 897, 2421, 2852, 6030, 519, 4574, 949, 711, 581, 7357, 1863, 540, 6959, 267, 855, 2949, 267, 1547, 12989, 596, 786, 1265, 3732, 14391, 725, 689, 23064, 12190, 13132, 267, 1142, 609, 513, 1483, 8996, 1383, 1603, 12987, 1374, 8584, 3491, 12378, 1603, 12987, 269, 6651, 547, 5912, 1913, 543, 4845, 5439, 1184, 543, 1826, 540, 1603, 3391, 547, 5912, 1913, 543, 4845, 5439, 585, 1383, 267, 519, 1153, 814, 513, 9251, 1982, 1141, 1312, 18555, 543, 6217, 1453, 1451, 1927, 269, 634, 1079, 2630, 1603, 5439, 616, 1806, 540, 3811, 28671, 4267, 5225, 946, 519, 2630, 607, 513, 3391, 547, 519, 1826, 540, 1806, 649, 1131, 899, 269, 0, 296, 1224, 519, 2376, 3370, 538, 11660, 1977, 267, 543, 1034, 540, 519, 1867, 4330, 538, 519, 2376, 269, 634, 1867, 568, 13886, 267, 968, 306, 852, 267, 4826, 267, 10979, 267, 543, 18983, 2378, 15543, 538, 519, 11848, 1848, 2005, 568, 606, 4879, 16432, 1169, 1906, 1296, 676, 519, 11848, 16424, 543, 10495, 19510, 267, 519, 3621, 1560, 602, 5359, 547, 519, 6608, 602, 1118, 909, 519, 11848, 7027, 267, 513, 8468, 585, 2152, 7133, 519, 3148, 269, 634, 2063, 4879, 3357, 856, 538, 476, 1001, 272, 269, 3371, 779, 519, 3095, 547, 519, 1867, 952, 596, 1616, 547, 1224, 621, 563, 7069, 6161, 568, 6654, 281, 519, 16079, 12068, 269, 8409, 540, 721, 945, 616, 14126, 827, 2916, 1689, 267, 1519, 3744, 543, 930, 14761, 267, 786, 581, 7255, 269, 8409, 945, 666, 1491, 3609, 3527, 547, 2232, 519, 3123, 540, 713, 1966, 267, 3226, 538, 519, 2475, 267, 786, 3136, 24937, 267, 9319, 610, 27102, 519, 1966, 269, 1656, 715, 3266, 786, 1832, 593, 535, 1342, 1782, 543, 519, 17169, 814, 1100, 9660, 269, 9406, 888, 763, 11848, 568, 8337, 811, 982, 7466, 607, 3728, 607, 519, 1964, 540, 519, 4541, 267, 5267, 513, 5458, 4879, 540, 519, 3148, 269, 634, 8337, 568, 26558, 2287, 519, 13621, 540, 11848, 4672, 543, 20993, 4262, 7400, 4473, 563, 763, 1867, 267, 16432, 676, 811, 982, 476, 3445, 3744, 267, 6054, 519, 16221, 2242, 2907, 896, 1259, 2066, 519, 11848, 1317, 540, 2916, 1689, 31539, 19394, 4262, 4672, 543, 13621, 22260, 547, 13346, 8134, 543, 4365, 3270, 269, 3245, 476, 1001, 272, 547, 476, 1001, 276, 267, 519, 4879, 9060, 267, 519, 11848, 729, 15911, 982, 693, 1022, 942, 2094, 5638, 3459, 1472, 476, 5002, 271, 630, 5408, 11313, 6635, 8157, 8337, 685, 1916, 5353, 320, 4672, 5170, 547, 7771, 267, 543, 519, 6708, 540, 6777, 3382, 2066, 519, 11848, 4525, 540, 3345, 3013, 543, 20195, 14901, 1142, 4873, 814, 10300, 1386, 607, 3379, 547, 7422, 1354, 476, 1220, 271, 563, 10527, 1491, 25571, 5048, 568, 602, 519, 11848, 568, 19586, 1782, 2223, 3081, 681, 12522, 623, 9593, 766, 267, 945, 23107, 513, 3060, 540, 5726, 2516, 1572, 11848, 476, 2641, 543, 729, 513, 1244, 14280, 13930, 23122, 540, 1533, 585, 1604, 543, 1646, 896, 2475, 5518, 9291, 22735, 269, 968, 763, 12556, 540, 519, 11848, 814, 547, 581, 6410, 856, 540, 519, 1158, 540, 3621, 8343, 543, 883, 519, 1158, 540, 2229, 3609, 3034, 763, 1867, 4679, 20327, 585, 2518, 4262, 7400, 4473, 267, 799, 3217, 883, 2272, 782, 2959, 540, 13621, 1519, 519, 11848, 269, 4256, 1007, 5934, 9193, 616, 1631, 3592, 5595, 1346, 9783, 676, 519, 3955, 32744, 19937, 593, 8693, 7827, 630, 7709, 6717, 264, 538, 476, 1001, 274, 585, 930, 5434, 7653, 269, 769, 1249, 267, 519, 5767, 9273, 2303, 602, 519, 7379, 6717, 779, 1647, 9193, 585, 4262, 7400, 4473, 1058, 1631, 581, 2808, 5934, 9193, 563, 1103, 835, 9183, 267, 799, 17648, 602, 3327, 5434, 4473, 5594, 1657, 519, 3853, 1305, 676, 519, 476, 1001, 276, 8303, 2916, 6876, 28559, 1869, 1294, 513, 9645, 5786, 1765, 22855, 2157, 1131, 2333, 676, 693, 2547, 476, 271, 269, 7367, 15432, 676, 476, 13975, 271, 267, 3379, 609, 476, 1220, 277, 267, 519, 11848, 1867, 3081, 269, 7201, 513, 1870, 23829, 268, 639, 783, 9183, 267, 519, 5934, 2333, 1131, 581, 476, 271, 269, 10619, 15432, 563, 10527, 8789, 2528, 7109, 919, 26220, 4831, 2275, 30743, 607, 811, 610, 1447, 21030, 6681, 24017, 267, 855, 621, 3112, 3398, 2565, 19183, 799, 1289, 621, 1496, 1492, 8789, 2528, 316, 883, 2243, 269, 22388, 2275, 11857, 2501, 827, 950, 1346, 945, 2981, 519, 2528, 538, 799, 789, 2661, 1831, 9691, 6857, 540, 1018, 789, 616, 3257, 543, 14969, 513, 3069, 540, 741, 11539, 689, 519, 8789, 2203, 267, 5356, 513, 2203, 602, 568, 5827, 540, 24569, 3294, 3034, 10472, 568, 513, 4514, 4307, 517, 655, 517, 1572, 519, 968, 30198, 1532, 17879, 892, 6240, 543, 568, 10416, 281, 1411, 616, 7923, 547, 1018, 596, 4323, 269, 769, 4081, 1612, 28917, 267, 519, 2856, 568, 602, 519, 4867, 12081, 532, 7060, 5581, 519, 2230, 543, 519, 2474, 540, 6278, 269, 5637, 519, 4214, 540, 968, 322, 11857, 892, 543, 968, 322, 3300, 2275, 11857, 892, 616, 851, 540, 513, 968, 515, 28282, 545, 11407, 892, 630, 12901, 517, 1470, 717, 2449, 857, 1916, 23530, 335, 6064, 568, 513, 3350, 538, 23019, 5708, 267, 1148, 267, 6752, 543, 17933, 602, 11394, 547, 2626, 543, 18220, 519, 2243, 968, 6343, 1281, 513, 4264, 10340, 1413, 899, 267, 543, 875, 666, 649, 1205, 972, 9495, 634, 15312, 540, 3859, 335, 6064, 19467, 519, 4052, 609, 519, 4190, 267, 519, 1134, 27059, 609, 519, 3039, 543, 3552, 267, 519, 6505, 543, 10477, 609, 519, 3618, 344, 543, 4396, 269, 9891, 335, 6064, 666, 581, 2588, 26508, 267, 1175, 23904, 267, 610, 7255, 609, 519, 9620, 679, 8905, 547, 513, 1732, 1158, 2443, 855, 2760, 29711, 1014, 269, 1306, 938, 1158, 887, 2812, 609, 1608, 600, 640, 267, 649, 991, 3435, 267, 711, 21855, 269, 10298, 547, 2661, 20354, 1510, 8093, 10173, 267, 547, 1226, 19935, 4383, 20317, 543, 2671, 11606, 267, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5629, 2390, 513, 942, 267, 972, 729, 513, 2370, 6079, 3957, 6341, 269, 6341, 4941, 547, 917, 811, 827, 519, 1158, 1472, 1864, 543, 875, 3388, 5249, 269, 2290, 1554, 267, 646, 4280, 1010, 3659, 267, 6004, 269, 18718, 10326, 267, 834, 16031, 269, 18718, 10326, 267, 875, 798, 649, 917, 952, 972, 568, 2731, 513, 2696, 945, 2813, 721, 12482, 16031, 269, 18718, 10326, 14452, 267, 834, 6546, 781, 513, 1390, 2243, 267, 6341, 256, 2368, 1004, 1451, 827, 2696, 676, 4974, 3571, 5137, 269, 1358, 1413, 693, 519, 4190, 5810, 267, 519, 7381, 4054, 267, 543, 519, 2831, 1472, 873, 543, 8275, 602, 2576, 1590, 723, 1500, 873, 3010, 21579, 2219, 827, 713, 585, 513, 4090, 543, 1287, 4280, 267, 834, 3719, 1946, 798, 930, 1004, 3494, 538, 4720, 3079, 540, 2696, 12482, 257, 11039, 2437, 1767, 6004, 269, 18718, 10326, 267, 834, 16341, 1004, 1589, 602, 3388, 1175, 5949, 676, 4960, 936, 513, 1279, 942, 269, 1809, 1082, 1866, 3494, 602, 513, 3532, 1373, 267, 1572, 2696, 267, 1500, 3388, 2687, 547, 513, 1544, 3010, 21579, 21330, 1010, 2212, 543, 1287, 4280, 267, 834, 1432, 827, 519, 590, 30117, 286, 4208, 798, 930, 1004, 1832, 835, 1554, 2027, 1247, 1866, 1810, 1405, 12482, 16031, 269, 18718, 10326, 6045, 267, 834, 10144, 945, 1246, 519, 6426, 3494, 602, 519, 18749, 1554, 540, 519, 3018, 568, 513, 2027, 1554, 1317, 602, 781, 950, 2696, 1964, 539, 1310, 2870, 519, 1158, 269, 898, 781, 513, 1554, 547, 3314, 13924, 543, 6108, 942, 609, 1920, 543, 2828, 3010, 21579, 9289, 267, 834, 1692, 666, 594, 917, 799, 835, 568, 3020, 12482, 257, 2791, 666, 2307, 2696, 3054, 267, 6341, 2437, 6700, 6004, 269, 18718, 10326, 269, 834, 9617, 2911, 547, 13924, 899, 596, 2811, 6158, 547, 803, 1631, 269, 9105, 13924, 547, 1397, 596, 1018, 781, 3020, 543, 6432, 5402, 585, 3571, 2626, 3010, 3383, 267, 6341, 1705, 1175, 602, 269, 1261, 7281, 539, 547, 2696, 1169, 1554, 543, 4166, 5433, 513, 3636, 4743, 3330, 1864, 269, 1261, 6785, 602, 2696, 4862, 1864, 543, 6068, 1864, 269, 3245, 602, 1554, 4464, 267, 6341, 4956, 547, 8956, 519, 590, 30117, 543, 6170, 602, 1554, 1565, 1007, 1919, 827, 2696, 543, 2348, 1187, 609, 1010, 2828, 780, 3080, 1554, 267, 6341, 4718, 513, 6263, 21956, 541, 10010, 547, 18214, 909, 513, 6978, 269, 1261, 4280, 267, 834, 3963, 568, 602, 21956, 541, 4466, 621, 2182, 547, 1847, 12482, 288, 8797, 2025, 22559, 7404, 12943, 267, 834, 15919, 267, 1762, 3283, 991, 948, 547, 1332, 6793, 269, 3807, 899, 875, 3425, 979, 547, 1153, 547, 1451, 1007, 1919, 267, 865, 1932, 798, 2831, 1451, 689, 741, 2833, 3010, 21579, 14478, 607, 519, 21956, 541, 6368, 6603, 519, 1283, 540, 519, 6978, 269, 1261, 14952, 539, 693, 922, 4222, 543, 6043, 269, 17652, 267, 519, 21956, 541, 9927, 883, 513, 4190, 18173, 267, 10825, 7772, 543, 2681, 2429, 519, 4104, 780, 5804, 602, 1554, 27477, 267, 6341, 7691, 602, 1256, 519, 10545, 7068, 1185, 1271, 5107, 547, 1404, 538, 519, 1158, 269, 1635, 11287, 2470, 543, 6998, 2055, 267, 6341, 4121, 3407, 4245, 827, 1272, 543, 5132, 269, 1261, 6956, 602, 2696, 25374, 585, 3025, 267, 1100, 2339, 875, 2462, 610, 1507, 789, 941, 780, 4517, 8164, 4896, 4280, 6341, 827, 1010, 4978, 267, 646, 1131, 2671, 519, 8748, 2984, 646, 4121, 689, 6004, 269, 18718, 10326, 543, 1010, 824, 3662, 2828, 269, 3414, 6341, 781, 2186, 1913, 543, 15962, 2295, 267, 1082, 3357, 547, 1174, 543, 5660, 519, 5898, 540, 18468, 538, 2696, 543, 26621, 3571, 13144, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 21609, 681, 8960, 2060, 17496, 454, 1103, 476, 4572, 277, 267, 2696, 3459, 2324, 609, 29464, 654, 269, 28226, 998, 513, 4161, 689, 1010, 7385, 593, 590, 30117, 268, 15209, 269, 589, 2034, 4161, 593, 519, 3069, 540, 4720, 8957, 2696, 779, 6228, 3533, 4553, 269, 1452, 2055, 3366, 1864, 547, 606, 538, 3829, 1353, 547, 6961, 2436, 519, 6426, 568, 519, 6478, 540, 2696, 267, 607, 621, 6811, 267, 610, 952, 812, 568, 8806, 519, 1267, 540, 4720, 269, 1656, 952, 2696, 1281, 2291, 267, 568, 3571, 4971, 585, 590, 30117, 268, 15209, 1945, 782, 10271, 1058, 23491, 286, 6004, 269, 28226, 779, 8990, 547, 6961, 519, 4267, 538, 891, 6927, 3366, 547, 1010, 7503, 547, 519, 5168, 543, 267, 5555, 267, 547, 513, 5001, 960, 8757, 6634, 256, 2696, 5795, 6004, 269, 28226, 519, 10243, 547, 3914, 782, 6082, 609, 519, 22258, 630, 31861, 476, 2190, 281, 1691, 1040, 1261, 24009, 519, 16322, 2886, 540, 606, 1439, 6066, 1826, 540, 519, 18379, 26400, 267, 945, 1131, 11177, 782, 1919, 547, 519, 5783, 630, 31861, 476, 1704, 281, 1015, 268, 1556, 264, 543, 11177, 1920, 3347, 281, 968, 6826, 3835, 267, 594, 786, 6494, 596, 18379, 26400, 519, 22445, 1354, 519, 4947, 540, 519, 1390, 543, 23487, 995, 1554, 540, 519, 7083, 281, 1656, 646, 4927, 2490, 18222, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16241, 1315, 4168, 1315, 3163, 1299, 7186, 1315, 12292, 538, 519, 6426, 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, 8080, 547, 938, 3460, 998, 942, 543, 1686, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 606, 6909, 1747, 1572, 834, 290, 770, 548, 10830, 2437, 4092, 538, 519, 4190, 2749, 540, 14863, 777, 652, 267, 21640, 269, 901, 14629, 814, 1044, 1472, 585, 7366, 540, 1296, 543, 6585, 1082, 11580, 267, 2984, 267, 543, 4241, 24738, 596, 9327, 1405, 1616, 547, 4413, 269, 1924, 10544, 707, 5691, 30618, 267, 1577, 781, 4685, 1318, 883, 713, 7045, 2439, 5575, 1055, 267, 4952, 7555, 593, 513, 17254, 4842, 4224, 1500, 540, 14680, 910, 827, 607, 7381, 607, 513, 2413, 1236, 903, 28755, 704, 256, 2334, 781, 1018, 16836, 10830, 568, 899, 282, 621, 14380, 476, 10204, 7397, 1164, 6772, 8504, 519, 22800, 8355, 4209, 5211, 269, 898, 7959, 3592, 899, 1373, 593, 1283, 540, 519, 1158, 256, 3767, 4605, 23090, 10092, 3056, 596, 1063, 23406, 6149, 5656, 267, 7168, 1330, 1399, 1841, 267, 543, 5728, 15174, 7996, 547, 581, 4362, 1107, 4992, 9589, 267, 3085, 1405, 621, 286, 4270, 267, 602, 781, 4010, 875, 1272, 4652, 9529, 29691, 16836, 10830, 780, 3080, 540, 519, 3579, 652, 1919, 827, 713, 1858, 568, 922, 3638, 3140, 13795, 269, 1411, 666, 1265, 882, 923, 6580, 1394, 5553, 950, 12703, 29843, 887, 3139, 891, 3338, 543, 3532, 15438, 12199, 741, 25267, 269, 2290, 971, 7415, 2497, 568, 519, 7372, 14863, 320, 16836, 267, 799, 729, 9112, 896, 9753, 689, 3751, 645, 2946, 5055, 10001, 1310, 1010, 10424, 19289, 3893, 10032, 1282, 13137, 269, 5994, 6972, 3330, 6821, 865, 2025, 2943, 1869, 19756, 2614, 547, 2149, 1346, 1369, 873, 269, 1215, 5863, 1131, 602, 1745, 2496, 3086, 4952, 2348, 513, 4960, 547, 1294, 18198, 5784, 540, 519, 3003, 2749, 2630, 596, 269, 2311, 519, 7754, 528, 4821, 6833, 15869, 540, 14863, 320, 16836, 267, 596, 1205, 1175, 602, 4316, 256, 5776, 972, 1659, 652, 30638, 607, 5195, 2390, 5195, 12701, 856, 1354, 596, 267, 4904, 609, 7524, 4778, 267, 14297, 1004, 267, 543, 11599, 21056, 269, 1548, 606, 20605, 1995, 602, 1131, 581, 2439, 3719, 7227, 267, 972, 781, 811, 256, 3807, 3564, 16836, 10830, 6013, 1776, 9159, 4183, 1572, 717, 749, 2946, 4135, 10830, 269, 19612, 2484, 543, 2647, 585, 922, 24232, 16782, 267, 713, 5544, 19646, 3875, 3636, 1216, 20115, 1572, 1412, 31516, 31725, 9538, 2052, 596, 1589, 1946, 789, 1289, 873, 1412, 14653, 20950, 286, 262, 962, 788, 267, 1317, 1216, 11164, 17331, 909, 689, 9944, 3047, 781, 2627, 6770, 14246, 2059, 609, 621, 269, 14348, 333, 1405, 621, 581, 1187, 1019, 6137, 707, 19462, 883, 835, 540, 1346, 2848, 5446, 2067, 20115, 14693, 2496, 4517, 952, 782, 713, 7012, 1405, 2614, 267, 18932, 3039, 7733, 24120, 717, 749, 2946, 4135, 10830, 1932, 269, 1452, 30832, 1782, 18137, 1683, 12094, 267, 22471, 1006, 267, 543, 11995, 3408, 3255, 269, 5808, 6487, 1018, 13655, 9114, 512, 26786, 2476, 1851, 1346, 4054, 286, 9320, 1256, 930, 26704, 7068, 13718, 3383, 1934, 649, 616, 267, 3695, 26441, 1141, 2250, 543, 1459, 18595, 710, 16900, 267, 1565, 827, 3504, 28151, 267, 12357, 15113, 267, 543, 2067, 13300, 269, 594, 4126, 596, 10150, 938, 4663, 540, 16836, 10830, 543, 7404, 2127, 269, 5457, 267, 1686, 3884, 1405, 8806, 7389, 543, 4408, 855, 849, 13858, 9035, 7996, 547, 581, 11552, 691, 1117, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 770, 548, 10830, 14863, 777, 652, 1923, 476, 1704, 15020, 7454, 12085, 547, 798, 538, 14863, 320, 779, 6196, 16011, 10588, 454, 290, 770, 548, 10830, 14863, 777, 652, 1923, 476, 1704, 15020, 7454, 12085, 547, 798, 538, 14863, 320, 779, 6196, 16011, 10588, 454, 763, 22539, 16836, 10830, 538, 14863, 777, 652, 18795, 593, 513, 1804, 14680, 29415, 267, 476, 10204, 15432, 1657, 519, 7178, 8492, 540, 519, 8355, 4209, 5211, 267, 609, 5195, 543, 5195, 540, 11895, 25310, 269, 10705, 5219, 547, 607, 14863, 320, 779, 6196, 16011, 10588, 267, 16836, 10830, 14863, 777, 652, 568, 1753, 547, 513, 5763, 540, 8978, 20375, 267, 10120, 21219, 543, 10875, 11265, 2934, 602, 1283, 1034, 8436, 685, 1592, 547, 14863, 777, 652, 269, 654, 4193, 25865, 4565, 16893, 1291, 547, 844, 5593, 10754, 267, 3046, 20529, 8075, 267, 543, 6456, 10246, 903, 269, 13966, 2515, 16836, 10830, 267, 513, 2370, 547, 519, 7178, 568, 717, 749, 1068, 10830, 267, 28020, 1634, 585, 922, 8143, 31725, 543, 3905, 20950, 607, 1134, 607, 513, 1804, 522, 12118, 540, 3039, 2044, 563, 290, 770, 548, 10830, 14863, 777, 652, 454, 763, 1034, 8903, 2679, 602, 2531, 7149, 16836, 10830, 14863, 777, 652, 568, 519, 897, 1601, 531, 14863, 320, 16836, 267, 3710, 593, 519, 3312, 3135, 540, 519, 476, 1724, 628, 2540, 9576, 20066, 676, 3751, 645, 2946, 5055, 10001, 269, 634, 31858, 4821, 1768, 15869, 540, 519, 14863, 320, 16836, 3091, 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, 1556, 281, 19737, 13262, 910, 898, 781, 28514, 547, 6875, 513, 16505, 2439, 16908, 666, 1205, 7168, 646, 8157, 3006, 269, 1411, 1522, 723, 513, 2462, 1449, 4947, 909, 267, 513, 1788, 1813, 4166, 267, 610, 6148, 596, 1175, 1185, 606, 4661, 609, 513, 3659, 269, 2353, 891, 1919, 666, 2014, 2566, 267, 1818, 621, 2182, 585, 596, 547, 1445, 610, 1745, 6126, 269, 5213, 1405, 5855, 282, 3025, 2833, 2566, 693, 930, 1448, 538, 741, 2729, 256, 1809, 798, 596, 917, 1018, 781, 1256, 1732, 286, 1703, 616, 1082, 2081, 547, 4383, 2566, 865, 602, 621, 3085, 1405, 1491, 936, 707, 1272, 269, 2913, 781, 1451, 875, 547, 2697, 21500, 267, 1174, 1946, 938, 4703, 2746, 713, 1259, 267, 543, 2263, 1585, 2553, 547, 948, 721, 6001, 543, 22507, 780, 4089, 476, 272, 281, 1548, 1772, 13262, 543, 4208, 6496, 898, 19732, 523, 2496, 5331, 3843, 547, 12740, 1945, 2706, 5230, 267, 899, 513, 9649, 536, 30629, 269, 2659, 1560, 1131, 960, 2731, 2182, 547, 1847, 621, 267, 1318, 286, 2334, 4674, 2322, 883, 17666, 519, 536, 30629, 568, 2147, 547, 1018, 4523, 3330, 707, 1560, 950, 596, 1995, 2566, 269, 1879, 649, 7237, 4101, 3871, 630, 3697, 6780, 267, 5026, 2119, 8083, 267, 610, 1514, 2152, 1070, 938, 12058, 6494, 6835, 2429, 938, 4703, 547, 5965, 873, 585, 2962, 269, 901, 1184, 2337, 721, 11883, 609, 7965 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1708, 271, 454, 3963, 7917, 29778, 5206, 634, 10003, 3502, 570, 2586, 888, 18439, 811, 593, 621, 269, 6684, 267, 1018, 568, 519, 2495, 3297, 519, 4155, 711, 3144, 888, 10454, 10003, 3502, 570, 2586, 257, 568, 606, 24813, 6648, 602, 2636, 519, 5467, 547, 1589, 827, 5079, 538, 1272, 267, 2436, 547, 979, 609, 519, 13416, 610, 979, 621, 4805, 269, 1403, 1272, 568, 513, 3460, 267, 713, 6648, 8711, 1346, 2053, 538, 1272, 950, 513, 3375, 814, 547, 581, 1500, 563, 12234, 267, 1946, 568, 519, 4155, 711, 3144, 1271, 286, 901, 6648, 6645, 513, 2603, 827, 1272, 538, 2489, 269, 5020, 568, 782, 827, 1818, 5079, 267, 31347, 621, 781, 827, 7446, 547, 1689, 707, 3232, 2732, 610, 7446, 519, 1318, 7649, 269, 5272, 3903, 814, 922, 4644, 538, 930, 1259, 610, 519, 824, 563, 3080, 949, 849, 2307, 267, 1946, 1705, 7917, 29778, 2328, 519, 6648, 634, 10003, 3502, 570, 2586, 888, 27144, 29778, 281, 968, 763, 10003, 3502, 570, 2586, 892, 7917, 29778, 5206, 968, 763, 10003, 3502, 570, 2586, 892, 607, 513, 24983, 585, 513, 3659, 267, 519, 10564, 11977, 7338, 269, 1879, 789, 4682, 6972, 1927, 267, 7338, 729, 12225, 1227, 967, 1815, 529, 633, 827, 799, 4155, 789, 11129, 547, 1491, 543, 24568, 24794, 1051, 1765, 21865, 561, 3512, 539, 602, 789, 1058, 267, 538, 1249, 267, 723, 3144, 519, 824, 835, 563, 8005, 5206, 519, 6648, 634, 10003, 3502, 570, 2586, 286, 0, 4204, 1930, 630, 1260, 1706, 894, 9962, 1930, 267, 2706, 331, 894, 11097, 652, 1930, 994, 268, 4625, 1930, 454, 268, 634, 4395, 7450, 729, 2647, 1930, 563, 268, 476, 4572, 273, 267, 12540, 2044, 13879, 267, 634, 966, 10679, 10117, 31594, 454, 268, 898, 729, 513, 6505, 267, 13566, 6640, 267, 543, 519, 9486, 11542, 2647, 1930, 563, 268, 2348, 1100, 4031, 610, 1876, 11268, 454, 268, 898, 729, 513, 2647, 1930, 20281, 4884, 1354, 519, 16456, 3357, 563, 268, 796, 3553, 339, 1194, 610, 796, 637, 9407, 454, 268, 634, 12556, 540, 519, 10211, 13743, 528, 568, 1869, 2647, 1930, 563, 268, 7925, 610, 796, 31695, 454, 268, 1261, 2451, 5128, 2647, 1930, 547, 9880, 563, 268, 630, 338, 7964, 264, 1510, 519, 4527, 540, 17837, 7404, 454, 268, 1261, 729, 2647, 1930, 543, 20639, 3362, 1310, 8391, 519, 1780, 563, 268, 630, 325, 12099, 264, 540, 519, 3510, 693, 519, 4098, 540, 9467, 950, 972, 568, 513, 1804, 3262, 1063, 19915, 543, 2307, 5777, 454, 268, 3943, 281, 1651, 1643 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2115, 5749, 1405, 1558, 269, 6481, 32226, 568, 835, 1106, 540, 12250, 6057, 1141, 2043, 1810, 1405, 4309, 1697, 3782, 780, 3086, 1577, 781, 1445, 593, 2564, 32226, 538, 7890, 5468, 267, 1572, 519, 13163, 540, 2398, 11143, 630, 289, 8008, 264, 538, 519, 2136, 2276, 269, 634, 645, 8008, 814, 3652, 547, 6430, 952, 606, 538, 22940, 4991, 2564, 948, 269, 1452, 3664, 4096, 593, 2185, 1292, 1919, 1384, 272, 269, 2878, 14240, 540, 2564, 991, 4995, 1403, 2576, 781, 1072, 3390, 3085, 1405, 3514, 1369, 519, 645, 8008, 781, 2856, 540, 1018, 12523, 607, 17596, 2564, 1416, 267, 789, 1522, 711, 4309, 1022, 6351, 1256, 952, 621, 781, 2629, 563, 273, 269, 2878, 21675, 1942, 4995, 6884, 267, 519, 645, 8008, 4465, 1405, 29343, 2564, 5574, 1317, 789, 3494, 789, 616, 1932, 3902, 344, 269, 10251, 267, 713, 1797, 31852, 1522, 4413, 856, 593, 2556, 1416, 1175, 1317, 540, 2724, 563, 274, 269, 2878, 1805, 3530, 8244, 4995, 1703, 1590, 2141, 581, 22651, 610, 824, 5520, 18913, 31852, 950, 789, 3643, 7189, 3544, 519, 7890, 9744, 269, 1809, 952, 972, 5749, 1405, 2614, 5234, 2818, 2139, 267, 7210, 31852, 1223, 7227, 1454, 3476, 982, 8912, 585, 20499, 563, 275, 269, 2878, 3725, 3161, 4266, 4995, 8409, 683, 2130, 519, 1439, 540, 741, 4845, 1419, 723, 1447, 1569, 547, 3782, 2094, 519, 645, 8008, 6212, 811, 593, 16089, 873, 2864, 982, 3246, 2877, 5574, 780, 3719, 1018, 4523, 950, 2576, 814, 513, 4049, 4576, 286, 4340, 547, 519, 645, 8008, 267, 1152, 2175, 17116, 1272, 610, 4929, 1713, 2800, 547, 4105, 1560, 3252, 2154, 7525, 3007, 269, 1358, 3277, 547, 971, 2665, 607, 834, 8469, 1227, 3026, 10354, 1107, 26590, 610, 9622, 7217, 2437, 2495, 519, 3461, 2712, 326, 1836, 2115, 30674, 610, 1808, 5773, 269, 1717, 267, 1813, 547, 1585, 7687, 5941, 4505, 267, 31852, 1522, 1869, 7237, 7965, 8391, 3617, 543, 12905, 1416, 780, 2080, 781, 606, 1383, 547, 1732, 1174, 1946, 2564, 32226, 6927, 269, 2913, 781, 2161, 513, 15847, 538, 22940, 18418, 2299, 2115, 7378, 15833, 2789, 2053, 3232, 547, 7639, 269, 9603, 547, 3908, 2200, 267, 519, 645, 8008, 14543, 547, 17982, 2834, 7378, 13066, 269, 3683, 942, 267, 713, 3668, 540, 7850, 1416, 1131, 1291, 547, 4049, 8374, 267, 7133, 1312, 2168, 8171, 543, 2790, 6617, 269, 9182, 267, 713, 23304, 731, 585, 1480, 15683, 13054, 12250, 6057, 780, 1103, 5758, 267, 12250, 6057, 4386, 950, 1346, 3743, 585, 12391, 585, 1866, 3111, 547, 2743, 2596, 2115, 267, 3006, 4611, 538, 2564, 32226, 269, 1280, 14586, 13461, 593, 519, 13163, 540, 2398, 11143, 267, 17799, 543, 3954, 10118, 540, 1898, 2564, 1416, 666, 2014, 11991, 7092, 543, 22009, 840, 25365, 2175, 269, 4197, 713, 1966, 2337, 721, 12167, 585, 14619, 543, 6568, 2509, 3025, 267, 7488, 540, 6381, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 707, 7817, 568, 18822, 2614, 547, 1205, 13170, 267, 789, 1869, 949, 3068, 3275, 630, 528, 7654, 1296, 264, 547, 1205, 547, 1294, 543, 1287, 581, 5701, 676, 602, 11285, 269, 11109, 741, 2783, 7074, 538, 741, 13662, 305, 2059, 609, 741, 8156, 13500, 685, 7840, 3769, 949, 6961, 5363, 1934, 269, 14171, 782, 540, 713, 883, 2272, 267, 519, 645, 8008, 568, 896, 1100, 17185, 547, 1246, 519, 17874, 10629, 779, 2126, 7840, 282, 5358, 15048, 623, 2568, 274, 272, 269, 6860, 630, 303, 326, 269, 476, 736, 268, 2641, 1916, 307, 2586, 689, 1250, 2376, 2630, 282, 763, 8549, 4521, 9807, 267, 3967, 270, 15037, 269, 476, 1708, 272, 630, 303, 1137, 476, 3393, 268, 5379, 1070, 594, 2689, 519, 1184, 602, 519, 645, 8008, 3096, 547, 1683, 1416, 269, 16684, 569, 267, 789, 2461, 1759, 2901, 593, 741, 4214, 540, 2564, 991, 267, 2126, 1942, 267, 5234, 8244, 547, 13173, 519, 538, 22940, 547, 1294, 519, 10629, 267, 610, 875, 2673, 519, 538, 22940, 568, 547, 741, 5305, 4266, 563, 21675, 585, 1272, 18446, 2175, 568, 1898, 547, 2844, 519, 1272, 610, 1599, 540, 513, 2565, 15629, 1062, 543, 3340, 7525, 3007, 563, 763, 645, 8008, 4016, 547, 891, 2175, 607, 968, 8469, 1227, 3026, 10354, 1700, 10907, 1393, 610, 9622, 613, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9743, 6627, 18816, 257, 607, 851, 540, 834, 16300, 16337, 1315, 4317, 21771, 1315, 8447, 1299, 16508, 18816, 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, 2991, 1296, 540, 2182, 960, 543, 11428, 267, 594, 1185, 6368, 6192, 1250, 4487, 781, 4110, 538, 6530, 689, 513, 18019, 6280, 269, 3733, 6612, 585, 2790, 1072, 543, 4543, 1866, 3366, 803, 547, 2015, 13197, 513, 4876, 538, 1382, 269, 1306, 594, 3459, 3695, 1114, 9945, 543, 5238, 267, 594, 16686, 2390, 9315, 858, 2160, 910, 1634, 585, 922, 1158, 11665, 1382, 3292, 543, 5969, 12967, 6703, 269, 898, 8604, 899, 519, 3501, 1747, 547, 4434, 1250, 4081, 3853, 780, 296, 23362, 10272, 741, 3896, 547, 1451, 811, 827, 10647, 1382, 693, 9315, 858, 2160, 269, 1677, 1250, 10982, 599, 267, 594, 4362, 602, 789, 1185, 7453, 23944, 28987, 543, 20340, 585, 1761, 3173, 269, 3502, 1152, 1705, 1034, 7158, 2154, 513, 12854, 610, 606, 6697, 25719, 4110, 267, 855, 1082, 849, 2877, 3606, 2022, 28273, 28118, 1995, 269, 2311, 1101, 267, 594, 5433, 17204, 267, 3206, 602, 1250, 5326, 729, 796, 520, 1555, 762, 1510, 2417, 2069, 269, 1717, 267, 594, 4769, 1405, 1616, 547, 2285, 909, 1175, 2943, 780, 291, 17827, 547, 2743, 891, 4170, 267, 594, 4956, 547, 4019, 585, 513, 851, 6066, 12854, 1982, 1247, 11173, 547, 2744, 4052, 1995, 998, 22631, 4721, 269, 1280, 1896, 27615, 9934, 1296, 267, 594, 7059, 17440, 267, 3450, 13930, 11645, 267, 543, 1585, 1382, 3785, 269, 15762, 337, 881, 532, 3207, 267, 1514, 1272, 267, 543, 1256, 930, 2883, 6617, 267, 594, 7283, 8149, 547, 1818, 1250, 3804, 513, 4641, 780, 7661, 267, 1310, 9118, 19492, 20439, 17334, 543, 11995, 3108, 6170, 2542, 3332, 8039, 267, 8888, 6901, 267, 543, 7421, 1239, 267, 594, 6707, 5833, 1250, 12854, 538, 4791, 6530, 689, 513, 1134, 9113, 4624, 9872, 269, 661, 4526, 547, 2322, 1250, 16012, 1702, 883, 2259, 267, 594, 4294, 585, 513, 2990, 607, 513, 11001, 693, 9315, 858, 2160, 269, 2060, 1164, 13922, 543, 513, 2178, 3498, 267, 594, 19179, 1243, 741, 3210, 780, 291, 904, 5828, 883, 4374, 267, 543, 5555, 267, 594, 4607, 606, 4757, 31015, 689, 9315, 858, 2160, 269, 19196, 1243, 569, 267, 594, 8118, 621, 543, 1085, 10165, 519, 9115, 540, 519, 5048, 269, 1358, 941, 24330, 609, 1250, 22754, 267, 1519, 1250, 8313, 1686, 267, 543, 14376, 803, 585, 606, 5967, 256, 901, 4316, 5433, 30642, 282, 782, 1346, 1296, 540, 15093, 1522, 2965, 2628, 1055, 780, 2026, 594, 5423, 585, 519, 5967, 267, 594, 1490, 19813, 909, 593, 1699, 3466, 543, 7835, 1369, 1250, 6074, 2361, 267, 4180, 602, 594, 1131, 1459, 8885, 607, 513, 8746, 543, 19579, 11134, 269, 2201, 519, 1554, 540, 519, 5967, 267, 594, 8452, 2038, 267, 21039, 24015, 267, 543, 4712, 547, 6542, 1946, 594, 20705, 1851, 519, 22644, 539, 16034, 540, 9315, 858, 2160, 3173, 780, 9961, 519, 5967, 1184, 267, 594, 12943, 1142, 2243, 24617, 543, 3177, 2143, 1806, 540, 1250, 2833, 543, 10781, 269, 18421, 8604, 547, 979, 12347, 2394, 835, 3803, 7455, 4252, 3357, 1250, 1259, 1107, 519, 8470, 4280, 952, 594, 1223, 3479, 547, 2407, 6066, 1382, 5612, 267, 2016, 519, 10296, 2470, 540, 741, 5571, 1788, 269, 10251, 267, 1813, 547, 1991, 1920, 13800, 267, 594, 7948, 1405, 3398, 971, 513, 7029, 267, 6028, 803, 2295, 15842, 5287, 2899, 1586, 780, 9617, 950, 594, 2219, 594, 1185, 1558, 1169, 10421, 267, 606, 6397, 21677, 17774, 3166, 269, 9282, 25922, 267, 594, 2451, 519, 5967, 6616, 594, 5795, 621, 3388, 594, 1185, 269, 13536, 602, 10543, 267, 594, 4607, 1776, 9983, 1289, 689, 519, 2212, 540, 519, 8257, 267, 945, 862, 2105, 1250, 2773, 1282, 519, 5967, 543, 6829, 1719, 538, 4466, 4244, 3435, 547, 13918, 1250, 3510, 780, 19102, 323, 4601, 18507, 585, 1200, 1620, 267, 649, 5941, 7399, 1141, 594, 1223, 3565, 20716, 543, 3666, 1250, 9021, 7258, 519, 2565, 7569, 540, 519, 1788, 269, 16828, 267, 1352, 6035, 803, 513, 8465, 267, 23344, 4101, 267, 1909, 3850, 803, 547, 11886, 1250, 15400, 20440, 780, 8601, 3875, 23665, 2059, 519, 1259, 267, 1250, 8990, 6976, 1055, 538, 2081, 594, 2760, 16545, 2009, 269, 1656, 1631, 267, 1934, 594, 993, 267, 2324, 29367, 607, 513, 12595, 4759, 540, 519, 9315, 858, 2160, 1382, 2319, 267, 18445, 596, 666, 3035, 707, 9909, 5103, 9583, 31837, 25236, 762, 12918, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 2108, 6701, 972, 1022, 1808, 23944, 28987, 610, 20340, 2838, 547, 2932, 1382, 693, 9315, 858, 2160, 888, 8133, 267, 972, 616, 1808, 23944, 28987, 543, 20340, 2838, 547, 2932, 1382, 693, 9315, 858, 2160, 269, 1452, 949, 4268, 4470, 593, 519, 1880, 2361, 610, 9015, 267, 855, 3335, 1331, 1384, 272, 269, 29358, 3872, 4170, 281, 4107, 1382, 7158, 693, 9315, 858, 2160, 2154, 10457, 547, 3180, 513, 12854, 610, 6697, 25719, 4110, 538, 513, 4143, 1641, 1858, 269, 2368, 7158, 949, 849, 2154, 3606, 2022, 28273, 28118, 1995, 780, 273, 269, 31999, 1382, 1995, 281, 15443, 573, 919, 1590, 723, 513, 7152, 2594, 540, 1382, 2534, 543, 9740, 267, 2356, 23576, 676, 12326, 538, 1283, 2389, 1512, 13746, 267, 9886, 7616, 267, 543, 824, 12508, 540, 1382, 7607, 780, 274, 269, 11310, 540, 1382, 2409, 543, 2853, 281, 15443, 573, 919, 1058, 581, 5432, 609, 1655, 2853, 538, 1382, 2409, 543, 581, 2111, 547, 1374, 543, 14892, 2090, 602, 616, 1312, 5683, 543, 11826, 780, 275, 269, 9442, 1983, 281, 9232, 692, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 2026, 596, 2263, 707, 1007, 10450, 267, 649, 9364, 899, 547, 6338, 596, 547, 835, 540, 8103, 781, 1034, 11537, 688, 1009, 5138, 281, 2909, 4575, 5810, 883, 707, 4552, 256, 901, 23406, 1413, 568, 3501, 585, 2027, 14026, 610, 4948, 5957, 780, 6524, 649, 2253, 267, 1577, 781, 3382, 930, 1898, 9238, 1384, 265, 2878, 295, 1515, 4995, 634, 2571, 267, 8142, 6438, 1332, 2195, 602, 17708, 339, 689, 519, 1283, 540, 3425, 262, 9843, 563, 265, 2878, 23044, 619, 4995, 7822, 995, 267, 29549, 2030, 2694, 1419, 1031, 607, 23598, 610, 13344, 563, 265, 2878, 295, 1343, 4995, 18972, 946, 891, 8465, 267, 30230, 4771, 16289, 1137, 693, 519, 1439, 540, 741, 7916, 547, 13861, 3615, 780, 3086, 267, 616, 596, 4712, 547, 1451, 875, 547, 2909, 573, 5810, 883, 707, 4552, 2496, 1262, 3721, 476, 272, 281, 16259, 2659, 22458, 4373, 8340, 513, 6899, 5544, 547, 1694, 267, 2901, 593, 513, 24302, 16845, 2627, 630, 3697, 513, 11381, 264, 610, 593, 513, 6366, 267, 4396, 2666, 630, 3697, 513, 6989, 1040, 28528, 2196, 707, 11263, 998, 707, 4552, 547, 1033, 4120, 1022, 25418, 269, 1403, 707, 4552, 568, 3226, 24516, 1399, 267, 596, 1522, 991, 547, 946, 513, 1907, 1572, 513, 2036, 610, 11453, 547, 948, 5347, 621, 856, 780, 12648, 4063, 540, 519, 1114, 6810, 540, 707, 4552, 1384, 265, 2878, 305, 334, 1824, 4995, 7316, 707, 4552, 9428, 2047, 689, 707, 21435, 563, 265, 2878, 21920, 4995, 634, 3476, 22204, 602, 2095, 1524, 689, 519, 5072, 563, 265, 2878, 19522, 4995, 634, 7475, 540, 707, 4552, 267, 799, 949, 581, 5594, 8237, 610, 535, 2001, 539, 780, 2690, 1631, 267, 1445, 593, 519, 1647, 3296, 1107, 519, 3259, 540, 707, 4552, 780, 1262, 3721, 476, 273, 281, 7994, 2659, 26540, 4373 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17496, 563, 2691, 1769, 13788, 519, 3750, 998, 513, 1395, 1993, 5914, 7828, 267, 621, 568, 18761, 547, 513, 2582, 1445, 1448, 593, 519, 22100, 269, 634, 1034, 1455, 1826, 540, 25942, 716, 8851, 6391, 568, 1572, 943, 23147, 655, 6160, 2305, 267, 610, 585, 2110, 269, 5680, 950, 14045, 799, 7828, 547, 3442, 585, 25942, 716, 6391, 267, 1004, 1058, 2015, 3790, 267, 3232, 5075, 2115, 267, 4540, 5075, 2042, 267, 543, 5294, 543, 931, 630, 1721, 1383, 267, 930, 14485, 723, 811, 5075, 10443, 563, 12507, 1993, 5914, 594, 5357, 338, 634, 1034, 1455, 1826, 540, 7828, 1031, 609, 25942, 716, 6391, 568, 1572, 513, 1395, 1993, 5914, 594, 5357, 269, 898, 814, 835, 2519, 3845, 269, 898, 568, 1305, 547, 1445, 585, 909, 2673, 267, 5420, 2039, 610, 3845, 5075, 269, 4107, 1004, 723, 873, 1305, 585, 2312, 3845, 5075, 15660, 5357, 1955, 17852, 281, 30776, 1234, 10293, 2991, 9697, 541, 9711, 320, 7776, 269, 528, 724, 1777, 1186, 2517, 4178, 18502, 7776, 3820, 15955, 3750, 268, 8234, 15955, 3676, 15955, 25942, 9711, 268, 1470, 2507, 320, 7776, 269, 528, 724, 1777, 1186, 2517, 4178, 18502, 7776, 3820, 15955, 3750, 268, 8234, 15955, 3676, 15955, 25942, 9711, 268, 1470, 2507, 0, 1103, 606, 5736, 13856, 676, 6639, 7760, 267, 835, 5647, 6763, 856, 585, 922, 1761, 547, 22499, 875, 649, 2170, 609, 519, 1158, 1472, 721, 9789, 16674, 2839, 630, 20238, 1470, 6363, 15968, 22384, 264, 13863, 269, 10787, 3564, 922, 8129, 607, 513, 2241, 9477, 1907, 267, 16674, 2839, 2029, 568, 26405, 547, 1315, 526, 9008, 18080, 2593, 270, 12260, 513, 16221, 540, 7399, 267, 5935, 519, 2104, 538, 2081, 649, 1223, 1152, 4952, 563, 8368, 540, 12937, 454, 8139, 16674, 2839, 281, 15332, 519, 17943, 454, 27184, 2839, 2029, 3322, 519, 946, 540, 13590, 4610, 547, 2697, 543, 3950, 16776, 7923, 547, 3615, 610, 2043, 269, 20323, 2919, 585, 11891, 543, 1569, 1852, 267, 16674, 2839, 814, 7960, 883, 513, 11684, 1907, 609, 3156, 17364, 6080, 269, 634, 6263, 267, 796, 984, 339, 28424, 13365, 616, 1631, 11251, 538, 3388, 689, 5491, 6486, 543, 1780, 7964, 547, 5399, 2835, 543, 10685, 2472, 563, 763, 5295, 540, 1530, 600, 1652, 16949, 454, 3080, 540, 519, 1883, 9342, 540, 16674, 2839, 6013, 538, 922, 2702, 547, 16900, 11753, 883, 1585, 3344, 540, 938, 3232, 2729, 269, 5994, 513, 1158, 1141, 596, 666, 24672, 6330, 1857, 5624, 267, 1118, 16306, 267, 543, 1569, 5150, 6753, 609, 513, 2241, 5951, 540, 707, 1688, 269, 16674, 2839, 13365, 723, 519, 1761, 547, 20928, 3157, 267, 3986, 4398, 267, 543, 2709, 26080, 13418, 563, 1103, 519, 7706, 540, 3782, 267, 16674, 2839, 568, 1818, 1713, 26058, 269, 21111, 5638, 666, 581, 14678, 15600, 267, 6646, 7245, 666, 581, 16913, 538, 1483, 6066, 267, 543, 2564, 3937, 666, 581, 7561, 27424, 269, 634, 1267, 568, 513, 3782, 1062, 602, 568, 711, 1152, 811, 3608, 855, 849, 10930, 543, 811, 3461, 7266, 878, 563, 26670, 3496, 18242, 932, 1622, 454, 27184, 2839, 779, 1764, 593, 3761, 5832, 2359, 3112, 581, 936, 26061, 269, 634, 2029, 6087, 1483, 6066, 9477, 540, 11891, 267, 4227, 6959, 267, 10893, 9271, 267, 543, 5355, 2949, 4398, 269, 2060, 16674, 2839, 267, 4213, 666, 3035, 3152, 11413, 543, 30506, 538, 741, 3761, 5832, 267, 6038, 3056, 547, 1942, 9806, 543, 4824, 6075, 9547, 563, 20376, 12053, 543, 21041, 19047, 454, 4407, 16674, 2839, 2029, 3091, 3875, 2640, 267, 4145, 827, 3354, 543, 7834, 723, 1044, 6659, 269, 1306, 649, 9784, 519, 1761, 540, 16674, 2839, 267, 621, 3587, 2629, 547, 2232, 891, 4145, 30082, 269, 22367, 6362, 519, 1318, 3666, 1063, 13418, 543, 17420, 2123, 1344, 568, 1898, 585, 519, 7839, 10343, 540, 713, 13710, 2029, 563, 763, 16674, 2839, 4838, 568, 1175, 4098, 269, 1306, 519, 2029, 5170, 547, 4434, 267, 649, 666, 2503, 1256, 811, 5499, 3156, 269, 3245, 5100, 4872, 547, 10531, 10685, 2833, 267, 519, 7399, 616, 3808, 1652, 269, 16871, 519, 1761, 540, 16674, 2839, 3340, 6297, 7156, 540, 5683, 267, 3656, 267, 543, 6848, 6286, 267, 855, 609, 15826, 6388, 267, 649, 666, 10244, 922, 1379, 547, 3337, 513, 2104, 602, 568, 811, 4448, 267, 3608, 267, 543, 5150, 563, 1103, 3932, 267, 519, 16674, 2839, 13863, 568, 711, 1175, 513, 6639, 14952, 282, 621, 779, 513, 1883, 602, 666, 12260, 519, 9885, 547, 513, 2104, 1141, 15774, 5610, 267, 4398, 267, 543, 14479, 28196, 710, 519, 1259, 649, 2661, 267, 960, 267, 543, 2170, 609, 519, 1158, 1472, 721, 269, 0, 3963, 519, 2782, 940, 888, 8139, 519, 7355, 3297, 519, 3557, 4972, 781, 3375, 269, 3245, 2797, 16132, 547, 1072, 4220, 267, 1451, 1946, 891, 2477, 1500, 519, 1592, 563, 18439, 519, 1101, 2947, 2477, 593, 519, 1592, 269, 5192, 4030, 883, 519, 1808, 4145, 543, 13685, 3056, 547, 741, 8760, 607, 1100, 30559, 10851, 563, 291, 10679, 883, 519, 1985, 2947, 2477, 4857, 676, 519, 2475, 3557, 4972, 269, 1133, 16225, 519, 2189, 2591, 5185, 676, 1977, 17631, 538, 891, 6753, 563, 763, 15937, 12866, 454, 20524, 519, 2063, 1305, 540, 2477, 593, 519, 1592, 269, 13773, 5483, 827, 1761, 12178, 543, 2152, 602, 3366, 547, 519, 3557, 4972, 781, 13657, 776, 18879, 563, 17809, 4575, 1898, 3106, 4388, 585, 17631, 269, 4982, 760, 3054, 609, 1702, 593, 875, 547, 6330, 7334, 3871, 543, 7413, 4220, 13383, 563, 288, 2656, 4704, 3391, 547, 6595, 17066, 269, 3550, 596, 723, 519, 2556, 2338, 13561, 538, 2013, 540, 27644, 6381, 538, 14542, 11182, 563, 15447, 6969, 1411, 3619, 454, 11947, 2775, 532, 519, 2956, 540, 9488, 1382, 1354, 1022, 3486, 7552, 269, 6258, 875, 7041, 666, 581, 707, 1655, 8878, 1996, 1761, 4220, 563, 9199, 767, 27545, 5455, 30098, 454, 26835, 4448, 609, 1483, 6066, 2951, 28007, 10311, 269, 4855, 856, 875, 547, 4309, 12905, 1344, 547, 1118, 5483, 3664, 827, 707, 2951, 4566, 563, 8139, 519, 1909, 540, 3743, 2951, 269, 13028, 875, 1373, 606, 5483, 543, 931, 2615, 1190, 2951, 518, 8309, 547, 2518, 3106, 563, 18704, 519, 11310, 454, 21886, 15758, 3988, 547, 2671, 713, 3407, 1344, 269, 6435, 1711, 513, 2146, 540, 3222, 17631, 945, 4225, 3106, 538, 741, 2518, 9035, 563, 763, 6816, 21537, 1047, 281, 589, 20907, 6363, 7037, 5689, 323, 1161, 20010, 0, 763, 11068, 15553, 6129, 454, 8072, 291, 836, 2730, 2157, 685, 540, 6757, 8407, 30443, 6362, 538, 707, 5172, 16098, 24713, 344, 29808, 454, 763, 25541, 16098, 267, 799, 3769, 1346, 4122, 1336, 538, 17365, 8637, 1256, 1934, 538, 645, 1824, 32272, 1519, 2582, 543, 6404, 4829, 23238, 267, 2030, 2861, 5144, 267, 7091, 553, 25467, 29225, 941, 6027, 585, 476, 1839, 1114, 6757, 8407, 543, 10250, 2609, 563, 2108, 300, 12089, 1922, 8816, 23238, 543, 2030, 22372, 5144, 630, 7945, 607, 27046, 543, 30288, 264, 8659, 11506, 9830, 540, 6757, 8407, 811, 1419, 982, 824, 10425, 2223, 3081, 519, 1353, 563, 5353, 1597, 540, 519, 476, 1839, 2609, 25295, 6704, 1216, 4441, 538, 930, 540, 519, 10425, 267, 1519, 19695, 267, 22670, 267, 18664, 517, 267, 20017, 26606, 267, 1193, 2632, 1756, 267, 28227, 543, 31093, 269, 2755, 1291, 729, 9571, 538, 811, 982, 476, 11152, 829, 1298, 540, 519, 476, 2568, 5439, 267, 1034, 8659, 1360, 1970, 2157, 2630, 835, 851, 829, 5479, 563, 763, 5207, 1377, 630, 277, 269, 274, 2890, 31810, 270, 4846, 264, 729, 1336, 538, 513, 18654, 5026, 4235, 267, 1498, 602, 779, 2630, 2622, 2657, 9257, 4441, 585, 6704, 1216, 563, 17606, 729, 9670, 602, 972, 5749, 1406, 513, 2603, 540, 2090, 856, 972, 7282, 6757, 543, 1898, 2609, 538, 2571, 10425, 269, 901, 786, 1711, 4656, 602, 972, 2115, 547, 581, 811, 1353, 1848, 3220, 570, 1168, 617, 4592, 717, 1712, 2692, 267, 1291, 2278, 543, 13930, 7548, 540, 2825, 1072, 9443, 693, 570, 592, 2033, 2160, 3427, 540, 5398, 2657, 543, 23427, 6925, 1767, 538, 513, 2046, 5305, 563, 3891, 1767, 621, 729, 1271, 547, 2932, 519, 1353, 2094, 972, 616, 1906, 9263, 24595, 2090, 6313, 519, 9115, 540, 16098, 563, 763, 11001, 19230, 602, 3237, 1058, 581, 18762, 827, 1018, 10425, 789, 2709, 741, 1453, 2094, 519, 4539, 616, 711, 865, 5458, 538, 4079, 267, 789, 8532, 538, 4130, 9424, 982, 1216, 454, 2108, 10144, 1058, 2057, 4758, 12256, 543, 1762, 1453, 6404, 26258, 23238, 610, 2030, 2861, 5144, 693, 1164, 4320, 2223, 717, 1712, 2692, 1767, 269, 968, 288, 3464, 21329, 267, 1291, 267, 543, 20017, 26606, 616, 1634, 15910, 11077, 543, 1134, 3964, 547, 2014, 4835, 1418, 3441, 543, 5042, 2800, 538, 1453, 267, 2523, 1282, 2038, 2634, 1646, 3034, 3891, 1767, 519, 2609, 1336, 538, 16098, 27229, 2097, 689, 13572, 3037, 2094, 789, 616, 6923, 9648, 865, 621, 779, 2182, 547, 1205, 7759, 540, 4625, 563, 2467, 568, 513, 991, 547, 2932, 513, 1981, 4879, 1759, 593, 519, 1239, 6394, 547, 1294, 519, 5222, 540, 10438, 6757, 8407, 538, 1453, 543, 4079, 563, 14071, 616, 8049, 547, 1832, 3695, 1018, 779, 538, 938, 10425, 543, 3536, 20749, 4421, 547, 519, 6800, 2223, 646, 1767, 269, 0, 272, 269, 10417, 540, 2696, 281, 18420, 568, 513, 4874, 1492, 2065, 4984, 267, 2495, 621, 11099, 538, 2789, 10971, 543, 15831, 525, 269, 8567, 267, 593, 519, 824, 1688, 267, 568, 513, 1395, 6139, 2065, 4984, 267, 18468, 538, 835, 2696, 563, 273, 269, 16241, 31157, 281, 18420, 814, 513, 5318, 4015, 540, 10723, 5931, 267, 1519, 519, 28174, 553, 267, 772, 20725, 6758, 267, 13225, 698, 822, 611, 717, 7534, 267, 543, 10548, 27011, 267, 1851, 1866, 269, 8567, 5097, 5205, 519, 6426, 267, 799, 5161, 540, 519, 6196, 11620, 630, 3891, 11119, 6426, 264, 543, 519, 1715, 11620, 563, 274, 269, 674, 10133, 281, 18420, 1281, 711, 723, 513, 1808, 13653, 267, 607, 621, 7960, 936, 5215, 540, 1296, 269, 8567, 15244, 922, 8129, 547, 4906, 2441, 267, 945, 568, 2808, 519, 13653, 543, 3844, 4137, 563, 275, 269, 6428, 14010, 281, 18420, 11099, 538, 519, 1523, 540, 556, 4532, 28271, 543, 737, 12609, 267, 1141, 2043, 616, 6450, 1941, 1759, 593, 741, 3527, 538, 3105, 2729, 269, 8567, 11414, 602, 20778, 568, 6913, 998, 5132, 538, 4906, 2441, 543, 1010, 15093, 593, 519, 3444, 563, 276, 269, 681, 3770, 338, 543, 654, 11208, 281, 9699, 10847, 2853, 4268, 7494, 267, 8151, 689, 14969, 11454, 12738, 547, 2123, 9066, 543, 10649, 269, 8567, 11363, 18497, 10847, 267, 609, 2834, 5939, 2533, 267, 5485, 571, 906, 267, 543, 11755, 563, 277, 269, 2991, 5158, 281, 18420, 11099, 538, 519, 4783, 540, 4332, 267, 2669, 267, 543, 32193, 267, 1634, 607, 521, 4461, 4673, 269, 634, 10700, 3804, 568, 547, 2736, 1863, 689, 713, 4783, 543, 12492, 544, 758, 3333, 320, 630, 12221, 3130, 1040, 8567, 11414, 519, 3661, 538, 13140, 543, 22946, 267, 609, 519, 3803, 10385, 8159, 835, 781, 18163, 22038, 563, 278, 269, 10020, 540, 4906, 281, 769, 18420, 267, 4906, 568, 1419, 9833, 607, 513, 1390, 5289, 4116, 610, 606, 1285, 20345, 540, 2696, 267, 855, 711, 8209, 519, 12600, 5260, 1640, 269, 8567, 5784, 4906, 607, 519, 12312, 540, 2696, 543, 519, 31050, 267, 945, 3357, 547, 4688, 8103, 689, 5609, 563, 279, 269, 595, 4292, 3590, 281, 18420, 12926, 15081, 9529, 519, 22634, 1062, 267, 799, 17337, 2486, 883, 21712, 1514, 5049, 269, 8567, 7947, 338, 519, 22634, 1062, 543, 8992, 7862, 1851, 782, 2043, 563, 280, 269, 1160, 572, 569, 339, 1436, 281, 8567, 814, 513, 2178, 2245, 540, 27685, 1143, 543, 8362, 11394, 547, 6460, 1004, 547, 922, 5132, 269, 18420, 1281, 711, 723, 513, 2147, 8561, 593, 18340, 569, 339, 1436, 267, 607, 621, 3622, 24693, 3309, 10092, 547, 5289, 20185, 563, 1015, 269, 10417, 540, 16429, 281, 18420, 1281, 711, 723, 513, 8471, 1523, 540, 5609, 855, 17767, 519, 2956, 540, 5837, 543, 5683, 2623, 269, 8567, 11414, 602, 782, 3425, 616, 4535, 609, 3312, 5609, 543, 991, 25863, 998, 4906, 2441, 563, 1556, 269, 13834, 32018, 281, 18420, 814, 13840, 8655, 1808, 4008, 5107, 543, 9021, 267, 609, 2367, 1419, 8066, 811, 1379, 543, 6392, 269, 8567, 8992, 519, 7862, 540, 2367, 543, 2021, 267, 10771, 8994, 2463, 543, 11450, 563, 1321, 269, 14358, 593, 4033, 9671, 687, 281, 18420, 3622, 24693, 519, 14496, 540, 824, 10764, 543, 11099, 538, 519, 6228, 540, 2789, 10092, 547, 3914, 519, 10143, 269, 8567, 267, 1247, 14344, 519, 6228, 540, 824 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 825, 1219, 4894, 291, 340, 27289, 4311, 267, 3650, 2187, 1038, 1948, 2237, 707, 3009, 1934, 454, 1038, 952, 2212, 568, 7183, 912, 2018, 2132, 454, 1038, 2385, 815, 2212, 454, 1038, 6843, 815, 2212, 12785, 454, 1038, 1247, 2385, 543, 6843, 912, 2018, 521, 815, 1305, 8443, 8001, 21606, 7481, 2018, 6843, 815, 2385, 12785, 454, 2018, 1247, 6843, 543, 6843, 21606, 538, 521, 912, 3546, 6843, 815, 6843, 12785, 454, 2018, 2385, 12785, 815, 6843, 454, 2018, 2385, 815, 2385, 12785, 454, 1038, 2132, 2212, 692, 332, 2643, 626, 284, 8827, 4590, 307, 25507, 9272, 15405, 3650, 22561, 454, 1721, 1775, 538, 2039, 24867, 2187, 825, 1239, 25507, 9272, 15405, 825, 2212, 284, 332, 2643, 626, 27044, 263, 3650, 267, 11907, 994, 3650, 284, 332, 2643, 626, 31927, 291, 340, 27289, 263, 3650, 994, 332, 2643, 626, 269, 5891, 263, 3650, 5148 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 2870, 513, 28677, 5888, 666, 581, 1022, 2647, 8708, 610, 8708, 267, 519, 4463, 540, 519, 6821, 540, 799, 1281, 711, 9765, 476, 1428, 1700, 736, 4699, 269, 634, 3178, 540, 519, 8708, 568, 5462, 676, 519, 3903, 540, 2371, 281, 585, 13151, 28684, 267, 476, 1015, 4699, 568, 2614, 267, 543, 585, 3677, 15013, 1107, 909, 547, 476, 736, 4699, 269, 634, 3677, 519, 8880, 1858, 4390, 267, 519, 9962, 519, 2361, 585, 5876, 563, 1103, 1840, 547, 10036, 8768, 17428, 267, 596, 666, 946, 533, 24548, 267, 5068, 11480, 2694, 267, 19596, 30520, 267, 543, 1256, 2025, 29826, 547, 1711, 513, 9910, 4677, 269, 1677, 1118, 606, 5667, 4774, 8708, 811, 1459, 762, 267, 596, 666, 30164, 922, 9018, 6821, 609, 7206, 267, 3818, 23469, 19821, 923, 267, 4837, 610, 6366, 19273, 10756, 763, 4527, 540, 12775, 9475, 568, 513, 32563, 585, 782, 11149, 269, 9540, 27061, 543, 9475, 538, 519, 5377, 540, 519, 8708, 616, 2556, 547, 8963, 4430, 1216, 269, 11569, 267, 609, 7050, 14450, 267, 4430, 1216, 666, 2014, 3597, 4232, 563, 24868, 1214, 540, 2030, 5079, 454, 763, 3903, 540, 5810, 543, 2030, 902, 5673, 593, 519, 6249, 540, 519, 5888, 269, 1280, 1383, 267, 585, 513, 4224, 4677, 610, 22586, 14629, 267, 21728, 328, 543, 824, 13151, 28684, 616, 3501, 281, 19987, 267, 688, 341, 8527, 807, 267, 6149, 9782, 267, 6822, 636, 563, 2304, 4277, 4781, 5654, 950, 3039, 26965, 616, 12630, 2047, 883, 519, 6149, 269, 1280, 713, 3483, 267, 10007, 609, 513, 24338, 2497, 616, 1732, 14018, 281, 14680, 267, 512, 4428, 267, 7387, 4224, 269, 634, 2571, 2497, 540, 519, 10007, 568, 2653, 547, 1184, 267, 7064, 547, 799, 267, 676, 4718, 532, 267, 596, 666, 1711, 968, 335, 20449, 892, 543, 968, 529, 4133, 892, 585, 9544, 2371, 563, 16449, 519, 10007, 267, 789, 9985, 30598, 281, 575, 2120, 807, 267, 1094, 343, 604, 14141, 267, 15074, 802, 2088, 267, 533, 778, 344, 874, 12682, 636, 269, 1677, 11677, 519, 7509, 2556, 585, 519, 5810, 267, 621, 568, 19624, 547, 7110, 519, 968, 13702, 344, 892, 15885, 609, 1350, 3547, 540, 21263, 563, 2252, 596, 1616, 547, 30164, 519, 4677, 538, 519, 2511, 540, 513, 6288, 5251, 267, 596, 666, 3442, 513, 21221, 535, 16307, 267, 1250, 337, 1479, 610, 2724, 3529, 607, 3039, 5624, 269, 1452, 20538, 4054, 616, 2442, 1813, 547, 741, 16560, 13862, 267, 547, 8190, 519, 3337, 540, 799, 621, 568, 2614, 1175, 547, 2759, 543, 32521, 519, 1036, 3497, 22534, 538, 513, 12905, 6073, 10756, 294, 15869, 995, 3083, 625, 540, 7814, 600, 839, 267, 1792, 696, 665, 541, 16476, 267, 24712, 543, 5348, 335, 10008, 786, 948, 547, 3142, 10477, 4778, 269, 1306, 789, 16036, 267, 621, 568, 2653, 547, 5372, 873, 609, 1007, 8677, 602, 616, 1175, 10024, 519, 15496, 4005, 267, 5329, 519, 4677, 10694, 2429, 519, 1032, 10756, 16920, 1549, 256, 4595, 1022, 2030, 902, 607, 789, 1332, 6445, 811, 543, 811, 8513, 267, 585, 25786, 11741, 15885, 267, 13283, 1058, 581, 2016, 547, 3500, 21212, 15013, 563, 2414, 1711, 513, 4677, 267, 596, 666, 946, 1022, 2326, 693, 1688, 281, 17375, 8043, 267, 5068, 3514, 14005, 267, 15798, 17850, 338, 267, 3662, 19562, 1149, 269, 1677, 1711, 519, 2556, 1303, 5971, 267, 519, 1283, 4494, 540, 519, 3618, 666, 581, 21243, 609, 5070, 267, 5386, 18574, 267, 4262, 890, 6277, 956, 269, 4634, 4773, 540, 11954, 4837, 543, 695, 1841, 540, 7745, 8286, 666, 581, 9862, 547, 3142, 707, 2856, 547, 1272, 10756, 763, 10651, 267, 21243, 609, 20538, 5656, 267, 1413, 29099, 28677, 269, 570, 4176, 8075, 666, 581, 12349, 538, 7463, 8637, 610, 1500, 609, 707, 1378, 3946, 689, 519, 1482, 13292, 10756, 10214, 519, 19984, 540, 513, 2947, 2000, 3438, 5068, 11480, 666, 4196, 607, 519, 4493, 585, 2870, 513, 6263, 13111, 267, 799, 568, 2614, 547, 30565, 621, 538, 519, 2666, 865, 602, 519, 5011, 616, 711, 7298, 269, 898, 568, 3833, 2653, 547, 12404, 519, 5068, 5377, 540, 519, 6077, 676, 8720, 621, 609, 513, 4494, 540, 5070, 269, 1677, 1711, 519, 1198, 540, 519, 12567, 540, 3798, 523, 267, 621, 568, 19624, 547, 30164, 519, 968, 17060, 892, 540, 519, 13111, 609, 16560, 15496, 2371, 269, 18830, 519, 4282, 540, 519, 1216, 2627, 267, 789, 1413, 1390, 281, 6070, 1756, 267, 1951, 8619, 6511, 267, 21221, 535, 16307, 543, 562, 518, 614, 320, 563, 14888, 312, 9910, 3766, 31678, 11460, 454, 1320, 9722, 936, 519, 11460, 540, 513, 9910, 3766, 31678, 267, 621, 568, 19624, 547, 1491, 883, 2272, 513, 1297, 540, 2798, 563, 20278, 618, 4087, 269, 898, 1131, 581, 8799, 547, 1747, 513, 9910, 3766, 31678, 538, 519, 4395, 1858, 540, 519, 4055, 269, 3973, 646, 786, 2141, 581, 538, 8289, 267, 9870, 519, 7099, 609, 1010, 5920, 543, 519, 5411, 540, 519, 2777, 267, 543, 1010, 14538, 269, 1809, 2094, 922, 1292, 5413, 568, 10688, 267, 952, 5551, 267, 519, 5888, 666, 2141, 581, 22198, 6548, 547, 513, 1007, 1747, 267, 7551, 4129, 4328, 519, 9703, 10756, 31995, 2175, 269, 898, 568, 1271, 547, 1491, 883, 2272, 519, 15116, 885, 540, 3395, 2371, 609, 799, 596, 1544, 547, 6445, 606, 791, 668, 696, 340, 8768, 4677, 269, 634, 6099, 1747, 585, 11460, 568, 1930, 547, 7943, 543, 6870, 689, 31585, 10756, 19465, 513, 15417, 5748, 454, 2690, 9544, 2371, 950, 25786, 606, 791, 668, 696, 340, 8768, 4677, 538, 513, 1494, 267, 513, 3037, 7848, 9967, 540, 21432, 5070, 267, 24435, 543, 32005, 267, 3144, 538, 513, 5223, 540, 476, 273, 281, 476, 272, 281, 476, 272, 267, 568, 6099, 10756, 2171, 3382, 519, 5377, 540, 519, 8708, 609, 513, 4494, 540, 5386, 18574, 267, 890, 6277, 956, 610, 9450, 10036, 267, 799, 786, 1685, 513, 12775, 1599, 269, 2991, 602, 267, 649, 6445, 519, 8708, 609, 15417, 3037, 267, 711, 4946, 476, 272, 1700, 273, 4699, 547, 519, 6316, 267, 543, 512, 2086, 621, 5594, 563, 2252, 596, 991, 547, 2030, 2371, 602, 4782, 2027, 2010, 540, 3037, 267, 596, 666, 1118, 2027, 968, 335, 20449, 6100, 898, 568, 2653, 547, 10646, 1063, 873, 676, 1797, 540, 16560, 22338, 540, 1507, 10007, 543, 3574, 13365, 269, 634, 3390, 540, 2030, 17356, 666, 849, 581, 12193, 676, 9544, 873, 538, 513, 1455, 1494, 1510, 9427, 873, 689, 741, 968, 333, 894, 892, 11149, 563, 2691, 13003, 532, 2371, 689, 11149, 267, 519, 1292, 3364, 568, 711, 547, 3441, 519, 3597, 1062, 269, 6875, 1390, 1416, 950, 9427, 543, 9544, 873, 538, 513, 1007, 8708, 10756, 2691, 11093, 2371, 267, 2921, 883, 2272, 741, 2208, 16548, 267, 621, 568, 16122, 547, 2226, 519, 3845, 1063, 519, 19155, 269, 1411, 1058, 849, 1491, 883, 2272, 741, 989, 4710, 1013, 673, 4162, 281, 930, 4782, 26484, 2127, 267, 1866, 530, 2416, 2476, 1510, 7943, 267, 519, 5449, 899, 9793, 14450, 267, 519, 8545, 1107, 789, 2648, 606, 11606, 540, 7509, 563, 5522, 1218, 538, 513, 1494, 616, 5116, 2687, 547, 519, 1482, 6240, 607, 538, 606, 8723, 8768, 5127, 281, 1970, 21212, 15013, 616, 12630, 538, 519, 32215, 267, 543, 519, 4282, 568, 21243, 609, 26339, 8677, 563, 13356, 2610, 609, 7718, 2609, 454, 16352, 5116, 519, 1292, 2609, 540, 519, 5888, 267, 649, 6445, 519, 8900, 5624, 609, 513, 29746, 540, 1507, 10007, 267, 799, 267, 538, 1840, 547, 519, 12716, 1599, 267, 786, 2061, 519, 21381, 540, 7509, 689, 519, 3037, 543, 519, 2208, 540, 18047, 563, 763, 21903, 540, 1216, 538, 513, 8768, 4677, 786, 948, 547, 1711, 4837, 890, 6277, 956, 267, 23953, 538, 513, 1507, 13472, 693, 519, 2427, 540, 519, 1494, 269, 1323, 3312, 1840, 547, 519, 968, 4133, 3874, 892, 786, 581, 513, 20538, 18711, 543, 513, 21117, 1500, 540, 11308, 7729, 9955, 563, 763, 9910, 3766, 31678, 568, 4712, 269, 595, 2130, 585, 621, 5161, 1152, 538, 9427, 27315, 1540, 5810, 543, 22534, 267, 607, 1134, 607, 4509, 606, 6099, 11195, 12512, 269, 0, 8266, 540, 4872, 538, 6792, 454, 8266, 540, 519, 5440, 476, 1911, 4872, 538, 6792, 676, 6378, 2551, 267, 2687, 547, 519, 476, 1708, 271, 11204, 2817, 17227, 11607, 5903, 540, 4872, 538, 6792, 454, 1704, 1644, 3584, 454, 289, 528, 965, 538, 6792, 4975, 267, 4092, 593, 519, 7532, 2427, 540, 519, 11769, 563, 2005, 568, 849, 519, 1034, 29245, 1327, 1275, 630, 29985, 21059, 264, 538, 6792, 267, 3677, 982, 8278, 622, 29347, 632, 2859, 32221, 610, 2871, 611, 531, 1690, 4673, 563, 30949, 543, 18513, 10160, 540, 570, 6359, 340, 3570, 27391, 1275, 267, 645, 24652, 4993, 267, 4092, 593, 519, 7414, 11076, 540, 6792, 563, 307, 6359, 340, 3570, 568, 519, 2034, 1034, 29245, 2749, 538, 6792, 543, 4099, 540, 519, 476, 277, 628, 28376, 1558, 549, 1858, 538, 6792, 267, 634, 2749, 568, 835, 540, 519, 16595, 21212, 1558, 549, 2127, 538, 519, 2197, 543, 15951, 607, 513, 834, 11947, 2672, 11797, 257, 2518, 2749, 676, 519, 32501, 543, 2622, 20079, 3194, 8416, 563, 5353, 520, 540, 623, 29301, 320, 27391, 1275, 563, 18455, 1312, 519, 8772, 4102, 2749, 538, 6792, 543, 519, 8772, 4102, 27062, 1858, 538, 6792, 267, 621, 814, 513, 1699, 2551, 540, 476, 274, 267, 7742, 267, 1822, 1004, 267, 543, 519, 2749, 5713, 607, 835, 540, 519, 1292, 32387, 585, 9456, 6239, 6792, 563, 22479, 1388, 543, 519, 4102, 2749, 540, 519, 11204, 25878, 1533, 540, 15616, 777, 553, 563, 763, 2749, 540, 16515, 868, 5055, 28066, 328, 2946, 337, 30959, 267, 609, 476, 276, 4281, 267, 279, 1789, 7264, 267, 568, 519, 476, 4029, 560, 1034, 20651, 2749, 538, 519, 2197, 563, 30949, 538, 519, 27040, 11204, 1533, 540, 570, 4821, 592, 760, 553, 267, 543, 519, 18513, 10160, 540, 519, 4630, 11345, 29109, 563, 12385, 600, 528, 657, 568, 519, 476, 4375, 628, 4102, 2749, 538, 6792, 543, 12979, 832, 519, 2034, 4102, 23195, 1858, 538, 570, 4821, 592, 760, 553, 563, 289, 4650, 2749, 538, 519, 7187, 851, 540, 519, 1533, 540, 570, 4821, 592, 760, 553, 267, 538, 6792, 563, 3725, 2106, 6242, 568, 519, 476, 1789, 628, 4102, 2749, 538, 6792, 543, 12979, 832, 519, 4102, 23195, 1858, 538, 570, 4821, 592, 760, 553, 563, 306, 629, 21590, 670, 10537, 2998, 568, 513, 2749, 543, 29109, 4092, 538, 519, 11204, 1533, 540, 715, 826, 17383, 2274, 11252, 563, 298, 340, 918, 12999, 918, 17427, 18559, 8270, 2456, 616, 6896, 2516, 602, 7110, 267, 855, 798, 711, 2047, 11753, 609, 519, 27173, 918, 12999, 918, 17427, 563, 2467, 616, 849, 6896, 27173, 918, 12999, 918, 17427, 7254, 794, 539, 25581, 11271, 2066, 519, 9533, 3262, 2429, 3864, 2477, 267, 538, 3943, 4211, 534, 3385, 267, 543, 11204, 4872, 269, 527, 24865, 538, 3013, 454, 300, 10129, 1275, 540, 519, 16816, 657, 5080, 3148, 540, 519, 1533, 540, 808, 531, 8646, 538, 6792, 563, 288, 8681, 553, 4481, 267, 568, 513, 8375, 15335, 585, 11082, 1813, 547, 922, 16133, 547, 2871, 611, 531, 1690, 4673, 267, 519, 1533, 3854, 543, 519, 18749, 28376, 2749, 538, 6792, 563, 19177, 628, 4102, 4884, 538, 543, 18513, 10160, 540, 519, 29109, 540, 570, 738, 527, 331, 17505, 4092, 538, 519, 27040, 851, 540, 519, 3557, 540, 631, 2946, 343, 4815, 538, 6792, 563, 2005, 814, 519, 11984, 540, 1373, 519, 1152, 29109, 538, 6792, 602, 814, 1079, 4872, 630, 29985, 885, 264, 540, 936, 476, 1911, 267, 1822, 2551, 630, 31807, 523, 822, 16695, 543, 5842, 623, 32631, 632, 15255, 6428, 21590, 1040, 0, 13563, 7510, 326, 3240, 695, 4319, 5013, 585, 3214, 454, 30022, 5013, 585, 3214, 13563, 7510, 326, 3240, 695, 4319, 454, 347, 13563, 7510, 326, 3240, 695, 4319, 2039, 2008, 763, 1977, 7510, 326, 3240, 695, 4319, 568, 519, 10545, 25850, 5065, 547, 3345, 3013, 269, 4706, 568, 827, 476, 276, 4699, 630, 273, 538, 264, 1279, 269, 898, 22179, 827, 476, 273, 269, 271, 547, 476, 275, 269, 276, 575, 630, 271, 269, 5881, 547, 476, 271, 269, 1626, 12063, 1040, 4706, 9663, 568, 26070, 610, 12457, 880, 6960, 1282, 519, 4832, 269, 898, 568, 3043, 3766, 2001, 1282, 519, 5162, 269, 898, 12387, 1206, 827, 1079, 2053, 513, 1032, 269, 898, 814, 513, 7522, 2212, 609, 513, 11329, 9224, 267, 543, 31953, 619, 269, 634, 4064, 616, 1507, 563, 5445, 616, 1336, 689, 8832, 14522, 267, 547, 519, 27743, 15142, 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 ]
[ 281, 554, 282, 849, 28484, 32162, 4700, 568, 513, 1770, 540, 942, 15007, 958, 22672, 19861, 607, 476, 272, 22397, 482, 2190, 540, 513, 1554, 543, 23963, 22672, 19861, 607, 476, 274, 267, 276, 4200, 1700, 274, 267, 31430, 7643, 267, 4470, 593, 2175, 269, 634, 12119, 267, 13796, 267, 610, 21376, 5662, 729, 3964, 538, 519, 3504, 14033, 5101, 607, 476, 272, 22397, 482, 1321, 540, 519, 3781, 610, 24817, 269, 6270, 3108, 9867, 676, 4005, 267, 20173, 267, 543, 4365, 269, 898, 729, 13604, 5258, 883, 476, 2568, 3764, 267, 1142, 540, 476, 2568, 7643, 269, 4706, 5101, 7489, 6697, 729, 519, 695, 328, 267, 799, 729, 476, 272, 22397, 482, 1321, 540, 519, 7805, 3859, 1554, 282, 513, 2147, 1062, 729, 5555, 2919, 538, 2342, 799, 6027, 922, 3160, 610, 1226, 3626, 551, 658, 5662, 607, 476, 272, 22397, 482, 2190, 540, 971, 2395, 6027, 689, 29869, 547, 29869, 269, 634, 5634, 7648, 540, 713, 1770, 941, 5555, 1159, 2393, 1117, 676, 1818, 621, 476, 272, 22397, 482, 2190, 540, 519, 1611, 3859, 1554, 267, 1759, 593, 519, 2268, 540, 519, 3141, 781, 18302, 2059, 519, 18477, 20337, 2864, 982, 2059, 519, 17772, 328, 10364, 269, 901, 729, 6368, 14460, 1813, 547, 519, 5634, 23646, 3361, 676, 519, 3047, 781, 23864, 632, 5120, 566, 676, 519, 9855, 269, 769, 519, 2413, 11973, 1062, 267, 3108, 616, 606, 7608, 1770, 540, 942, 3160, 547, 476, 274, 267, 7785, 7643, 855, 606, 5662, 540, 18509, 3990, 17629, 5384, 630, 7473, 290, 264, 949, 6451, 513, 2318, 610, 2942, 20014, 2034, 267, 1818, 621, 2063, 476, 274, 267, 276, 4200, 610, 476, 274, 267, 31430, 7643, 267, 538, 1931, 547, 1832, 621, 1369, 476, 271, 269, 280, 7643, 540, 8471, 942, 267, 799, 568, 1759, 593, 7403, 540, 519, 1611, 3859, 1554, 693, 476, 271, 4113, 29978, 563, 13356, 3547, 547, 25980, 7503, 3349, 454, 19350, 568, 519, 7503, 3349, 596, 666, 946, 547, 6460, 689, 5463, 3547, 547, 25980, 454, 347, 13356, 3547, 630, 20657, 1228, 10534, 295, 2293, 630, 15590, 10245, 347, 275, 1704, 5463, 3547, 1475, 18458, 29580, 876, 25980, 2008, 347, 275, 1240, 5463, 3547, 1475, 3607, 277, 12739, 876, 25980, 2008, 347, 275, 866, 5463, 3547, 1475, 3607, 278, 271, 4510, 876, 25980, 2008, 347, 22213, 5463, 3547, 1475, 3607, 278, 280, 736, 876, 25980, 2008, 347, 275, 2641, 5463, 3547, 1475, 3607, 279, 8064, 277, 876, 25980, 2008, 347, 32455, 5463, 3547, 1475, 3607, 280, 6858, 273, 876, 25980, 2008, 347, 275, 2537, 5463, 3547, 1475, 24907, 276, 4366, 876, 25980, 2008, 347, 275, 2190, 5463, 3547, 1475, 4391, 272, 275, 2190, 876, 25980, 2008, 347, 28883, 5463, 3547, 1475, 4391, 273, 4968, 876, 25980, 2008, 347, 275, 2918, 5463, 3547, 1475, 32699, 12293, 876, 25980, 2008, 21761, 4280, 2055, 547, 6460, 476, 275, 1626, 5463, 3547, 883, 25980, 454, 268, 1215, 1082, 25980, 616, 538, 476, 275, 1626, 5463, 3547, 888, 268, 476, 275, 1626, 5463, 3547, 11224, 875, 1082, 25980, 888, 268, 1215, 1082, 568, 476, 275, 1626, 5463, 3547, 538, 25980, 888, 268, 1548, 568, 476, 275, 1626, 5463, 3547, 538, 25980, 888, 268, 1215, 1454, 568, 476, 275, 1626, 5463, 3547, 538, 25980, 888, 268, 1215, 1082, 32162, 616, 538, 476, 275, 1626, 8717, 888, 268, 476, 275, 1626, 8717, 568, 3160, 547, 875, 1082, 32162, 888, 268, 1215, 1082, 568, 476, 275, 1626, 8717, 538, 32162, 888, 268, 1548, 568, 476, 275, 1626, 8717, 538, 32162, 888, 268, 1215, 1454, 568, 476, 275, 1626, 8717, 538, 32162, 286, 0, 289, 564, 1399, 12896, 4210, 532, 454, 289, 564, 1399, 12896, 4210, 532, 267, 4535, 3733, 337, 1479, 661, 767, 710, 12896, 630, 18550, 476, 1626, 267, 476, 6245, 274, 1107, 5181, 476, 272, 267, 476, 3422, 280, 1070, 729, 606, 1977, 17740, 656, 3411, 4048, 626, 563, 289, 564, 1399, 12896, 4210, 532, 454, 7069, 337, 1479, 661, 767, 710, 12896, 454, 18550, 476, 1626, 267, 476, 6245, 274, 454, 25238, 1221, 1475, 20826, 476, 272, 267, 476, 3422, 280, 263, 3042, 476, 10602, 10245, 347, 2704, 2742, 544, 831, 1475, 17206, 540, 14822, 2008, 2056, 538, 16028, 454, 305, 599, 12107, 12896, 4210, 532, 454, 289, 564, 1399, 12896, 15548, 538, 19506, 2621, 540, 519, 2021, 781, 2924, 3350, 538, 519, 2038, 547, 4571, 2389, 342, 12351, 2540, 269, 2701, 8678, 519, 2021, 779, 2924, 3350, 538, 476, 4489, 278, 543, 729, 13604, 795, 9229, 2947, 2053, 543, 4682, 593, 1079, 14000, 16716, 269, 1879, 1352, 729, 2366, 547, 17906, 547, 7903, 585, 519, 2063, 8917, 2877, 547, 3731, 1518, 519, 476, 866, 628, 17203, 267, 513, 2199, 11356, 9307, 267, 968, 8099, 623, 2432, 540, 12339, 514, 6541, 12231, 6490, 874, 529, 6100, 12634, 11356, 6589, 1419, 7074, 1200, 4482, 4369, 269, 2701, 7283, 3742, 585, 1082, 5756, 538, 2021, 779, 2924, 543, 824, 3123, 269, 769, 476, 4572, 272, 267, 12896, 9310, 1134, 8153, 5925, 6085, 1807, 31434, 12896, 4210, 532, 269, 2701, 29739, 602, 646, 1491, 1200, 2063, 2012, 607, 1134, 952, 1352, 729, 2921, 1010, 543, 2968, 5975, 1399, 12896, 4210, 532, 269, 634, 7008, 941, 519, 3237, 540, 1079, 14930, 543, 513, 8250, 269, 1358, 32682, 1027, 538, 476, 3707, 275, 563, 306, 4428, 14141, 11314, 267, 476, 4489, 278, 268, 4489, 280, 31171, 454, 5475, 4271, 908, 689, 519, 2160, 540, 14822, 267, 5975, 1399, 12896, 24389, 593, 513, 3942, 4876, 267, 799, 1352, 2451, 950, 1352, 3357, 7532, 547, 6443, 519, 2817, 19716, 781, 9549, 630, 301, 310, 303, 1070, 3366, 676, 7705, 6754, 269, 634, 32065, 303, 1185, 8237, 609, 824, 2021, 781, 27049, 2516, 936, 922, 1445, 593, 513, 13338, 17203, 10018, 532, 2021, 519, 1318, 547, 8917, 267, 607, 1134, 607, 593, 922, 10728, 12485, 269, 4033, 2516, 267, 12077, 519, 2817, 1977, 19716, 781, 22206, 14141, 5948, 267, 1185, 3710, 513, 1533, 676, 1533, 27049, 4640, 543, 10353, 519, 32065, 303, 781, 13389, 540, 5518, 14355, 543, 24273, 607, 1134, 607, 922, 4584, 7566, 4674, 563, 763, 2817, 19716, 781, 9549, 3459, 922, 4584, 7566, 540, 519, 6519, 5600, 538, 5130, 476, 4489, 278, 269, 769, 4728, 540, 602, 1032, 267, 936, 835, 8536, 2021, 3576, 851, 269, 1635, 4873, 267, 519, 6519, 5600, 4956, 547, 10654, 519, 4584, 4394, 269, 4595, 8066, 4191, 568, 711, 10363, 267, 519, 2021, 18796, 547, 917, 519, 2601, 585, 741, 10654, 269, 634, 22638, 5279, 729, 29572, 532, 6808, 269, 8409, 10997, 941, 25323, 543, 1100, 4693, 729, 4371, 269, 1809, 513, 1007, 4806, 1185, 13175, 910, 519, 2021, 4584, 4394, 941, 711, 15658, 1042, 269, 16270, 741, 5305, 267, 789, 4682, 2786, 1394, 547, 4584, 7566, 519, 6519, 5600, 543, 941, 18486, 1586, 269, 589, 4395, 2985, 8666, 538, 519, 4634, 532, 17650, 2317, 540, 5842, 17630, 16004, 519, 1309, 1632, 267, 834, 29910, 814, 1336, 602, 519, 1152, 1259, 547, 1832, 513, 4584, 564, 2476, 689, 519, 6519, 5600, 568, 547, 2322, 1200, 538, 21569, 1701, 901, 942, 519, 4584, 4394, 941, 1336, 16944, 540, 29572, 532, 6808, 543, 535, 1441, 1269, 1839, 610, 476, 274, 2395, 538, 21569, 269, 634, 2021, 15189, 547, 2628, 519, 5386, 269, 589, 4028, 15583, 566, 4553, 2394, 519, 6205, 540, 519, 32065, 303, 267, 7705, 6754, 729, 30992, 547, 476, 278, 3275, 538, 21569, 269, 5975, 1399, 543, 1200, 11078, 267, 7705, 12896, 267, 543, 476, 4375, 1866, 941, 795, 9229, 585, 29572, 532, 6808, 593, 5437, 476, 1015, 267, 476, 4489, 278, 282, 602, 4584, 564, 729, 851, 540, 513, 13889, 540, 7705, 6754, 781, 4845, 269, 634, 5279, 540, 29572, 532, 6808, 729, 4922, 6956, 607, 513, 695, 600, 910, 519, 14822, 1014, 11356, 5693, 7150, 607, 1454, 538, 606, 2376, 8720, 519, 12896, 19946, 262, 10654, 269, 769, 519, 1482, 2376, 267, 5975, 1399, 729, 20926, 607, 6031, 267, 834, 296, 993, 2469, 547, 7890, 585, 519, 27049, 2013, 267, 609, 519, 2407, 1702, 602, 594, 723, 8149, 1100, 25213, 4799, 21156, 540, 1373, 2366, 547, 519, 2199, 21569, 267, 519, 5437, 476, 1015, 628, 4584, 4394, 941, 2366, 547, 519, 12769, 13228, 534, 4518, 5264, 538, 9098, 267, 1141, 519, 31852, 941, 7142, 547, 798, 7890, 4074, 269, 9710, 12288, 2175, 5185, 519, 2021, 538, 519, 960, 5264, 910, 789, 941, 29041, 267, 6854, 538, 10072, 267, 543, 2016, 678, 4545, 573, 1426, 269, 2991, 1373, 15189, 6284, 607, 2797, 14586, 267, 519, 2021, 10294, 513, 14000, 10880, 269, 634, 3401, 540, 519, 32065, 303, 267, 1519, 7705, 6754, 267, 941, 3196, 10480, 269, 634, 12896, 19946, 941, 5950, 1310, 476, 1704, 2395, 538, 21569, 267, 2059, 609, 476, 2420, 824, 14000, 4174, 24329, 267, 4352, 789, 1185, 1044, 30992, 547, 476, 1789, 2395, 563, 763, 10654, 338, 543, 14000, 10880, 941, 4922, 4988, 538, 14786, 2066, 519, 2197, 543, 5975, 1399, 729, 12286, 30326, 269, 634, 14822, 1014, 7074, 602, 267, 676, 519, 942, 789, 941, 5950, 267, 5975, 1399, 543, 7705, 1185, 4503, 476, 1321, 543, 476, 866, 7273, 6606, 269, 1809, 741, 10654, 338, 543, 2192, 2389, 13015, 1705, 711, 15658, 519, 717, 2449, 610, 519, 824, 4584, 4394, 267, 945, 3136, 2046, 1005, 5518, 14355, 543, 6837, 547, 1491, 909, 513, 13338, 17203, 26587, 2021, 519, 1318, 547, 8917, 269, 769, 5130, 476, 4489, 280, 267, 5975, 1399, 12896, 729, 835, 540, 1079, 2366, 1845, 3544, 519, 6519, 5600, 7555, 9856, 936, 513, 13755, 13933, 538, 799, 789, 14616, 5518, 14355, 781, 18531, 269, 634, 1985, 3923, 1352, 729, 18486, 538, 11785, 950, 476, 2641, 2818, 540, 519, 2817, 19716, 781, 9549, 10356, 538, 4395, 540, 519, 3557, 5600, 609, 27049, 536, 22395, 269, 1358, 941, 972, 547, 13889, 5518, 14355, 781, 12625, 538, 11785, 269, 634, 2021, 941, 18486, 950, 789, 15189, 547, 16783, 609, 7128, 9753, 547, 1847, 269, 769, 11356, 6589, 267, 5975, 1399, 729, 2206, 1194, 856, 607, 5706, 532, 10654, 543, 1185, 547, 581, 834, 331, 26661, 15629, 257, 883, 519, 7128, 530, 6782, 563, 5475, 2789, 8942, 998, 476, 4489, 279, 543, 519, 4098, 540, 476, 4489, 280, 267, 593, 4873, 476, 275, 267, 476, 4489, 280, 267, 6837, 6368, 5293, 519, 715, 12078, 14821, 547, 519, 2136, 2276, 9139, 26587, 2021, 519, 1318, 547, 8917, 267, 533, 2056, 3731, 2305, 676, 519, 2829, 269, 5975, 1399, 12896, 543, 519, 2817, 19716, 781, 9549, 3533, 17146, 741, 3646, 689, 519, 6519, 5600, 547, 519, 2829, 269, 5975, 1399, 2968, 513, 6205, 538, 519, 3731, 2305, 5859, 267, 2324, 538, 1715, 14948, 267, 12590, 267, 26609, 267, 4639, 9098, 267, 17906, 267, 543, 824, 2829, 269, 769, 5130, 476, 4572, 271, 267, 3411, 4048, 1235, 17204, 513, 1715, 14948, 22275, 31558, 3350, 602, 1131, 723, 2322, 519, 2243, 540, 3731, 2305, 2047, 547, 17037, 269, 26609, 2968, 606, 1271, 6370, 3033, 1533, 267, 609, 606, 3742, 4550, 1606, 4428, 14141, 3350, 269, 4340, 547, 519, 11785, 670, 14283, 267, 519, 32065, 303, 2366, 922, 834, 2865, 4810, 3731, 2305, 5859, 619, 257, 972, 267, 1519, 5975, 1399, 12896, 269, 769, 4873, 476, 4572, 271, 267, 3411, 4048, 1235, 4584, 9643, 519, 17044, 2817, 13482, 538, 9628, 267, 15691, 547, 2604, 519, 17044, 23328, 540, 26609, 543, 17044, 1827, 832, 540, 21086, 543, 28599, 585, 741, 5821, 547, 3731, 1518, 519, 17203, 269, 634, 25350, 30577, 20958, 518, 267, 8720, 519, 15007, 267, 4330, 5975, 1399, 12896, 607, 834, 9767, 978, 267, 642, 643, 20160, 267, 543, 7168, 257, 543, 26518, 519, 20538, 5374, 21569, 7450, 1352, 20595, 607, 513, 6089, 8930, 267, 29544, 1200, 942, 538, 21569, 585, 519, 2014, 540, 2021, 781, 27049, 269, 634, 32065, 303, 1705, 711, 4584, 564, 519, 14891, 2817, 13482, 538, 5842, 12770, 563, 1103, 5147, 476, 4572, 271, 267, 5975, 1399, 12896, 729, 593, 1200, 1259, 547, 17906, 547, 7001, 519, 476, 3607, 628, 267, 543, 2063, 267, 1533, 2877, 585, 3731, 2305, 269, 4173, 554, 32528, 1957, 267, 519, 14822, 1014, 267, 26906, 1200, 593, 1200, 960, 547, 1205, 2021, 519, 1318, 547, 8917, 269, 5975, 1399, 1767, 267, 834, 296, 8678, 519, 4584, 564, 1895, 1317, 594, 7691, 27049, 729, 693, 513, 1796, 560, 650, 543, 8259, 1945, 10565, 729, 2944, 267, 4986, 1223, 581, 12913, 1701, 269, 2201, 4864, 476, 1240, 267, 476, 4572, 271, 267, 17906, 2968, 519, 476, 3607, 628, 1533, 547, 3731, 1518 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2488, 2963, 540, 1059, 781, 32408, 543, 1010, 17418, 547, 1852, 1010, 4664, 269, 5131, 4647, 6119, 2433, 3662, 11052, 538, 4622, 1059, 7824, 4688, 607, 7824, 4528, 540, 3662, 11052, 538, 4622, 1059, 269, 10960, 11052, 4667, 547, 581, 835, 540, 519, 17888, 1603, 6163, 540, 4622, 1059, 676, 13275, 12335, 543, 513, 8265, 8364, 3957, 7287, 676, 512, 16612, 13275, 338, 1312, 24420, 23412, 17814, 3197, 998, 519, 7180, 267, 8456, 543, 6208, 540, 3662, 538, 1931, 547, 2417, 1174, 3197, 543, 741, 7592, 269, 1548, 2306, 621, 9808, 9853, 609, 13357, 568, 1010, 3765, 15105, 540, 1480, 2470, 1492, 2375, 633, 946, 538, 540, 4622, 3662, 11052, 1059, 14646, 524, 1247, 519, 4998, 1143, 540, 519, 1866, 568, 711, 543, 519, 4412, 699, 526, 585, 1059, 568, 543, 519, 811, 1065, 14601, 3954, 714, 839, 540, 519, 7297, 945, 814, 1100, 11029, 1399, 538, 1480, 1894, 32716, 543, 32716, 609, 1010, 1544, 585, 12270, 1010, 10806, 563, 3412, 698, 2044, 538, 4622, 1059, 281, 606, 3239, 1797, 513, 2790, 4605, 998, 1913, 11052, 666, 581, 3989, 607, 606, 1148, 538, 799, 519, 3615, 543, 7907, 540, 2631, 519, 1655, 658, 610, 3662, 11052, 568, 14356, 2966, 547, 1397, 812, 781, 1747, 538, 519, 5832, 540, 1373, 267, 543, 3142, 856, 519, 1016, 25993, 2470, 540, 9409, 1915, 269, 589, 2347, 3391, 547, 3662, 11052, 538, 4622, 1059, 269, 476, 280, 4622, 1059, 1299, 7092, 281, 519, 18354, 540, 2025, 2085, 1059, 2306, 513, 2462, 12161, 910, 646, 3947, 909, 1010, 17599, 267, 855, 1869, 26770, 547, 581, 5701, 607, 3532, 476, 1691, 30279, 543, 3765, 1348, 2470, 519, 17282, 540, 9409, 3197, 1522, 1291, 721, 547, 1745, 602, 2470, 568, 513, 16970, 3196, 538, 4622, 1059, 269, 10960, 11052, 568, 1031, 547, 7866, 519, 1883, 6249, 540, 678, 3578, 1652, 1379, 519, 7681, 540, 16891, 518, 559, 543, 1036, 534, 609, 581, 6814, 540, 10352, 9356, 593, 741, 7542, 665, 1190, 3662, 2470, 267, 741, 3668, 540, 8103, 543, 741, 796, 11499, 28877, 269, 9956, 3096, 3662, 11052, 538, 4622, 1059, 547, 5815, 519, 796, 11499, 1145, 540, 513, 1915, 781, 2623, 543, 24242, 1996, 3237, 1034, 540, 891, 2592, 9446, 2470, 607, 30380, 543, 4608, 2130, 8204, 519, 6668, 540, 519, 3514, 11687, 950, 1059, 14753, 547, 1036, 534, 827, 16891, 518, 559, 781, 10182, 267, 646, 563, 3412, 698, 2044, 32416, 11052, 12335, 781, 4622, 1059, 568, 5393, 2407, 609, 32416, 267, 5075, 267, 543, 21901, 11052, 607, 513, 2339, 540, 1249, 519, 21901, 8957, 5075, 6249, 8255, 19856, 656, 2429, 519, 1650, 4622, 1059, 5956, 1010, 3460, 607, 513, 812, 945, 568, 9420, 1317, 646, 3112, 1294, 3564, 519, 16995, 269, 634, 946, 540, 3662, 11052, 538, 4622, 1059, 19430, 10404, 575, 321, 554, 28207, 547, 2328, 267, 621, 568, 607, 952, 12335, 24714, 547, 9446, 513, 1158, 538, 799, 1034, 2367, 543, 2021, 616, 581, 6814, 267, 543, 1152, 519, 11108, 1906, 1496, 732, 4628, 1480, 316, 268, 326, 321, 554, 28207, 267, 1196, 12335, 281, 519, 2347, 1568, 269, 29526, 270, 19960, 2044, 270, 4150, 326, 800, 538, 4622, 1059, 519, 7088, 630, 19960, 2044, 264, 20627, 2887, 2329, 281, 676, 9117, 3352, 22529, 2225, 267, 1059, 607, 513, 4622, 543, 1287, 607, 513, 4651, 519, 1655, 658, 270, 534, 2711, 11052, 568, 14356, 2966, 547, 1397, 812, 781, 1747, 538, 519, 5832, 540, 1373, 267, 543, 3142, 856, 519, 1016, 25993, 2470, 540, 9409, 1915, 269, 769, 4622, 1059, 267, 12335, 3096, 3662, 11052, 547, 2303, 602, 2367, 723, 1360, 2370, 1379, 936, 741, 1378, 535, 919, 543, 547, 11168, 519, 13438, 540, 930, 540, 1010, 1034, 563, 21914, 1059, 568, 513, 13357, 827, 513, 812, 781, 2887, 689, 15438, 1222, 547, 32408, 4622, 1059, 5134, 805, 338, 1010, 21836, 8250, 267, 10260, 20782, 267, 543, 568, 1287, 20729, 539, 676, 1010, 1079, 519, 3662, 11052, 1459, 538, 713, 561, 3512, 566, 568, 11342, 2429, 519, 1404, 12335, 3096, 713, 14953, 547, 2263, 812, 781, 3662, 2065, 2470, 269, 634, 3662, 11052, 538, 4622, 1059, 3746, 2478, 602, 1480, 7919, 1419, 2887, 2110, 540, 741, 5601, 3766, 1508, 1909, 543, 1932, 1419, 4159, 4162, 630, 322, 745, 601, 1399, 267, 1286, 2522, 13821, 3092, 264, 7357, 2067, 538, 2831, 855, 2808, 20025, 538, 3425, 269, 8281, 23407, 540, 3662, 11052, 538, 4622, 1059, 1142, 824, 519, 7350, 540, 519, 1480, 3662, 4647, 2433, 3662, 11052, 538, 4622, 1059, 269, 3751, 1059, 568, 513, 476, 2735, 278, 4670, 9859, 676, 795, 6756, 2000, 1075, 5601, 731, 267, 606, 9542, 540, 13275, 12335, 781, 1404, 538, 519, 2511, 540, 8097, 18008, 1007, 5951, 21576, 519, 7097, 729, 5097, 676, 533, 2678, 6133, 1513, 543, 9723, 561, 28854, 267, 543, 729, 8385, 8655, 547, 2343, 534, 13875, 518, 563, 11847, 6974, 725, 540, 2470, 538, 12335, 781, 4622, 1059, 521, 23022, 1810, 322, 2120, 519, 1523, 540, 2470, 538, 12335, 781, 4622, 1059, 476, 272, 568, 711, 3274, 835, 540, 1082, 4798, 547, 581, 20114, 543, 21845, 267, 855, 2864, 621, 666, 581, 2808, 547, 581, 519, 5748, 540, 519, 2898, 1404, 269, 3751, 1059, 281, 4359, 26294, 4967, 13275, 12335, 707, 1863, 12744, 540, 26294, 4967, 7132, 266, 1412, 6362, 1059, 281, 4359, 262, 814, 1163, 1600, 2901, 6718, 2630, 267, 610, 4945, 593, 519, 3381, 2630, 547, 1451, 811, 269, 9956, 10525, 891, 3662, 2592, 950, 4622, 1059, 543, 1082, 540, 519, 824, 3197, 538, 519, 1404, 2911, 827, 16891, 518, 559, 543, 1036, 534, 4622, 1059, 849, 8292, 593, 1010, 20766, 3824, 7806, 3363, 1210, 3662, 11052, 950, 646, 1767, 267, 875, 5857, 704, 982, 513, 1583, 335, 757, 5694, 621, 568, 547, 723, 513, 9684, 1652, 1126, 269, 10312, 593, 2831, 543, 3662, 11052, 607, 6698, 1369, 4622, 1059, 3442, 835, 540, 1059, 781, 20766, 547, 13404, 593, 538, 707, 2079, 267, 543, 2328, 606, 1557, 827, 875, 713, 1915, 14753, 540, 2831, 610, 269, 0, 5649, 713, 1557, 593, 875, 4984, 5784, 32270, 713, 14235, 814, 3361, 606, 909, 549, 541, 540, 3909, 17600, 540, 28305, 338, 543, 741, 19824, 267, 609, 3909, 9439, 19101, 1346, 945, 957, 593, 28305, 4555, 616, 22867, 5609, 543, 786, 581, 17792, 13675, 547, 13140, 269, 15486, 540, 32270, 7508, 1568, 11855, 1018, 4010, 568, 513, 28305, 621, 568, 513, 1268, 16770, 13631, 547, 513, 1268, 540, 741, 1378, 3023, 1946, 798, 1004, 1831, 28305, 338, 713, 568, 513, 2243, 602, 814, 1044, 4280, 2479, 2094, 519, 1101, 28305, 1268, 3357, 856, 540, 519, 5008, 564, 269, 13067, 26557, 281, 2470, 610, 20741, 678, 12505, 546, 795, 28427, 32414, 476, 1789, 267, 476, 1220, 274, 538, 2487, 5756, 267, 1082, 3905, 569, 23503, 3584, 723, 2097, 896, 519, 22987, 540, 519, 1699, 7521, 568, 2436, 610, 711, 32270, 568, 513, 1267, 540, 2470, 281, 513, 1268, 781, 1604, 543, 10450, 267, 610, 540, 1010, 7350, 543, 11976, 563, 4322, 1016, 2389, 1335, 525, 1331, 909, 32523, 543, 2486, 267, 1995, 540, 4984, 543, 519, 4655, 1063, 22344, 640, 543, 32270, 519, 2034, 851, 540, 2079, 4025, 8561, 593, 519, 3604, 538, 875, 1004, 1174, 4984, 267, 799, 5540, 741, 5784, 593, 32270, 269, 14358, 593, 32270, 4043, 711, 547, 581, 513, 3119, 6161, 538, 521, 16554, 10752, 267, 607, 519, 8471, 3804, 540, 513, 521, 16554, 568, 547, 723, 1100, 13842, 610, 1918, 13920, 547, 1022, 972, 568, 1100, 2582, 4013, 2990, 593, 32270, 538, 512, 7776, 1143, 267, 607, 519, 2165, 512, 7776, 1143, 568, 1031, 547, 4766, 513, 1297, 540, 19635, 3909, 5389, 269, 16241, 10752, 267, 5132, 543, 2853, 782, 1860, 519, 1259, 1004, 1589, 543, 3337, 741, 8369, 519, 3310, 540, 4984, 3112, 581, 19765, 13846, 2523, 538, 8456, 2509, 32270, 649, 3379, 713, 547, 741, 2070, 593, 32270, 630, 335, 11823, 1412, 339, 770, 525, 262, 610, 8369, 264, 538, 1931, 547, 1294, 875, 741, 269, 1215, 798, 3909, 1004, 2070, 32270, 543, 875, 1281, 713, 1860, 13919, 538, 2489, 950, 849, 3168, 693, 3872, 2360, 543, 3084, 4031, 543, 4507, 267, 713, 1957, 2501, 547, 519, 3932, 602, 4984, 519, 6708, 547, 799, 513, 4984, 7106, 549, 1407, 540, 32270, 666, 4268, 5393, 563, 16391, 1242, 4984, 568, 513, 22294, 540, 5289, 2146, 543, 2528, 1472, 519, 1158, 4984, 267, 2523, 3909, 2069, 267, 849, 24643, 16712, 1489, 1317, 1082, 3494, 602, 4984, 11942, 13919, 269, 476, 276, 32270, 267, 4008, 543, 4984, 936, 519, 2250, 1079, 5756, 267, 972, 814, 1044, 513, 10565, 2333, 538, 1857, 10343, 540, 538, 5784, 540, 2591, 6849, 2021, 267, 513, 5354, 540, 22988, 2161, 2021, 3136, 547, 13720, 9465, 602, 1118, 621, 811, 2352, 585, 873, 547, 1205, 6619, 982, 2367, 269, 1306, 27352, 11262, 3909, 8369, 540, 32270, 609, 873, 267, 5238, 267, 789, 723, 519, 2702, 547, 17401, 5103, 602, 6644, 1373, 2318, 610, 3885, 602, 1920, 781, 267, 1247, 1419, 14436, 540, 741, 9619, 713, 1888, 10924, 602, 741, 5784, 593, 519, 1888, 267, 1185, 2370, 1198, 593, 519, 269, 13067, 26557, 568, 513, 3339, 2460, 540, 1480, 2623, 267, 543, 1058, 711, 581, 9763, 607, 1945, 513, 519, 3656, 4567, 602, 6927, 538, 519, 8087, 2829, 568, 519, 3540, 4567, 267, 711, 519, 3909, 835, 9992, 11189, 4332, 1931, 1198, 2090, 3100, 547, 1397, 513, 1713, 2333, 538, 519, 10171, 540, 1373, 14447, 519, 811, 563, 295, 558, 26557, 1522, 581, 14356, 9141, 676, 513, 3993, 781, 4761, 3210, 547, 1200, 5256, 21565, 30147, 4679, 609, 1142, 5067, 1352, 814, 269, 16241, 909, 32523, 543, 2528, 5540, 3928, 540, 32270, 519, 1433, 1250, 6090, 1500, 803, 798, 621, 910, 513, 3621, 1413, 693, 4638, 10066, 267, 1071, 2246, 23482, 676, 1979, 32554, 626, 1743, 683, 559, 3043, 3650, 543, 1010, 7385, 267, 5856, 536, 686, 541, 3043, 3650, 563, 763, 2360, 540, 6090, 593, 7180, 616, 1360, 9940, 1317, 6090, 1118, 5946, 267, 711, 7375, 519, 3621, 5168, 568, 602, 938, 6090, 798, 711, 3196, 721, 883, 4376, 6090, 616, 3743, 585, 606, 9940, 3310, 267, 855, 593, 3328, 267, 789, 798, 711, 3196, 1004, 883, 32270, 519, 1376, 1782, 3932, 568, 269, 9282, 1367, 2818, 540, 3909, 3906, 3180, 18312, 5784, 593, 32270, 267, 1034, 3909, 5238, 8362, 3954, 8784, 32270, 607, 1373, 606, 796, 11499, 1272, 2511, 543, 840, 778, 519, 1699, 1353, 1058, 6542, 513, 1713, 1764, 593, 28305, 4978, 1813, 547, 2538, 6685, 269, 2201, 12311, 11888, 267, 1775, 3370, 513, 4062, 11093, 930, 540, 519, 16620, 585, 519, 27337, 4328, 3928, 540, 561, 326, 23336, 6107, 26683, 543, 29047, 21274, 593, 519, 15061, 22344, 13039, 602, 616, 9870, 741, 1453, 538, 513, 5233, 1227, 4630, 2684, 11131, 1604, 602, 711, 1152, 27313, 3278, 741, 32270, 607, 5609, 995, 563, 9824, 16406, 2516, 723, 3254, 513, 2647, 2039, 540, 6547, 547, 721, 18678, 519, 3113, 2982, 519, 3210, 547, 519, 15194, 543, 849, 519, 2489, 10343, 540, 32270, 713, 2034, 15861, 569, 268, 1778, 11312, 23469, 3113, 16034, 936, 476, 2412, 3909, 2516, 593, 741, 2818, 262, 5784, 540, 32270, 269, 6480, 23660, 540, 32270, 267, 2705, 267, 538, 1978, 5468, 899, 30813, 786, 581, 2362, 1317, 540, 32638, 32270, 267, 610, 28305, 2623, 538, 519, 9000, 540, 6587, 13001, 16303, 4891, 1344, 593, 536, 1047, 23595, 568, 1256, 1447, 2139, 1317, 865, 1082, 3173, 5581, 536, 1047, 23595, 607, 513, 269, 16241, 5784, 4268, 593, 32270, 543, 14447, 7365, 1934, 616, 25135, 32718, 540, 875, 2101, 3909, 29559, 2232, 519, 3390, 281, 10198, 540, 5601, 519, 952, 28305, 338, 29875, 519, 1876, 540, 669, 770, 640, 543, 519, 5837, 4441, 540, 519, 5939, 267, 1287, 789, 616, 1641, 547, 519, 9015, 540, 519, 5939, 269, 13067, 26557, 1281, 711, 1860, 938, 2486, 1775, 8885, 993, 25251, 543, 621, 781, 711, 9292, 1154, 4896, 10636, 18400, 338, 1810, 1405, 1860, 938, 2486, 267, 865, 1946, 1058, 28305, 338, 649, 4755, 547, 2648, 7606, 540, 519, 1482, 3023, 855, 945, 649, 2648, 568, 938, 1870, 1175, 607, 649, 4734, 945, 513, 10636, 334, 14560, 607, 741, 1870, 563, 10303, 789, 5156, 602, 32270, 568, 811, 540, 513, 2068, 982, 513, 5609, 7064, 547, 1954, 644, 538, 519, 2038, 476, 5002, 271, 338, 267, 1954, 644, 10645, 602, 3025, 729, 4535, 25251, 1775, 1589, 596, 1118, 606, 4277, 1448, 827, 519, 1860, 540, 1954, 644, 781, 6436, 593, 14920, 1018, 6770, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 782, 707, 2828, 6410, 883, 707, 8378, 2394, 1169, 2777, 729, 4904, 909, 1107, 602, 1131, 1831, 3833, 22125, 267, 9327, 1405, 621, 286, 2334, 781, 2147, 547, 1018, 4523, 950, 1082, 1004, 4734, 6917, 2127, 630, 12248, 787, 2515, 264, 543, 1847, 547, 4872, 3168, 585, 1732, 3255, 267, 6009, 267, 2069, 267, 543, 2533, 269, 901, 1184, 568, 1572, 20012, 780, 3086, 267, 1577, 781, 4685, 883, 930, 4241, 5013, 1384, 272, 269, 2878, 294, 5050, 5288, 269, 570, 4176, 18831, 5093, 4000, 4805, 14747, 1312, 9649, 6082, 971, 607, 5527, 267, 18629, 267, 543, 13280, 910, 1142, 2348, 5458, 5095, 2673, 547, 610, 936, 476, 1911, 2929, 11317, 282, 543, 11212, 4620, 924, 3283, 899, 1290, 528, 657, 267, 4144, 329, 321, 719, 328, 267, 15729, 7638, 1372, 267, 681, 2946, 684, 542, 267, 2904, 582, 974, 267, 590, 14244, 8751, 2946, 543, 2398, 27713, 10360, 267, 1530, 26338, 3559, 956, 799, 723, 7864, 982, 476, 272, 2929, 7264, 269, 2052, 596, 3494, 602, 286, 3807, 4952, 6972, 998, 14297, 595, 23879, 3379, 547, 588, 13764, 1472, 12560, 15117, 267, 10067, 2946, 6532, 538, 1530, 26338, 3559, 956, 2439, 273, 269, 2878, 305, 2358, 267, 853, 762, 267, 21826, 569, 12096, 532, 674, 19910, 26162, 5093, 2368, 3979, 2477, 899, 27988, 807, 267, 5527, 267, 31512, 807, 267, 543, 1530, 26338, 3559, 956, 1869, 1294, 2810, 2338, 540, 24570, 269, 11531, 267, 824, 4025, 1519, 20787, 3711, 1664, 267, 19010, 22096, 267, 13280, 2059, 609, 1896, 1866, 1995, 3500, 11081, 269, 1809, 1287, 972, 616, 1346, 7680, 4028, 20214, 538, 1126, 321, 597, 2195, 267, 971, 607, 18629, 267, 32678, 267, 15057, 267, 5689, 25596, 267, 543, 23683, 2274, 821, 256, 1548, 1281, 713, 1611, 286, 4270, 267, 3885, 1934, 3442, 547, 723, 4130, 10820, 1813, 547, 4824, 1569, 547, 3782, 543, 2069, 780, 274, 269, 2878, 2750, 1061, 1308, 4400, 674, 19910, 26162, 5093, 589, 1906, 2189, 9634, 2291, 1141, 2021, 2285, 4332, 547, 811, 982, 3670, 9002, 1282, 741, 10715, 267, 12077, 20997, 267, 28950, 807, 267, 932, 611, 267, 19010, 22096, 267, 543, 5689, 328, 269, 14424, 602, 547, 31512, 807, 543, 24381, 527, 3780, 267, 1141, 11570, 1904, 585, 17646, 1512, 3885, 693, 610, 2630, 1412, 516, 10293, 1377, 10086, 2495, 1079, 3237, 5372, 2933, 1510, 1022, 2333, 538, 2551, 780, 3383, 1946, 798, 1004, 22109, 286, 2913, 803, 2995, 596, 513, 1650, 1862, 20821, 8861, 267, 945, 2729, 538, 513, 1507, 8230, 12505, 8498, 269, 2701, 6499, 1200, 3214, 547, 979, 547, 1153, 543, 1205, 1434, 6009, 14693, 269, 10251, 267, 3506, 7404, 5749, 1405, 865, 1390, 267, 543, 2816, 16548, 616, 3908, 269, 1924, 1352, 24502, 1200, 11435, 543, 7575, 547, 715, 23879, 6798, 267, 15691, 585, 513, 17321, 2104, 585, 1200, 1920, 269, 4173, 3460, 4564, 6634, 540, 2043, 5001, 5275, 1007, 20297, 538, 1114, 4525, 610, 4872, 780, 1103, 3932, 267, 20012, 543, 9194, 3337, 938, 1158, 3648, 267, 2523, 538, 3384, 543, 6932, 2477, 269, 4658, 2951, 1279, 9883, 10478, 585, 1585, 1919, 267, 4657, 519, 3068, 540, 2950, 11014, 269, 4197, 891, 5322, 2337, 721, 5660, 4763, 267, 6536, 6568, 267, 543, 1628, 6793, 4296, 1063, 4529, 543, 7239, 269, 1656, 3314, 267, 2436, 596, 30339, 689, 513, 30832, 1782, 1558, 24227, 610, 18241, 24781, 267, 3025, 814, 2984, 4502, 4687, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5591, 2489, 3948, 827, 3979, 1629, 2762, 568, 3020, 269, 634, 8390, 538, 519, 11782, 568, 1932, 1390, 563, 22152, 320, 2221, 2882, 9649, 2477, 609, 5095, 2282, 610, 23630, 476, 1911, 2929, 630, 292, 5118, 267, 18629, 267, 13280, 264, 543, 6263, 2477, 609, 5095, 896, 476, 272, 2929, 630, 4467, 528, 657, 267, 30622, 756, 719, 328, 267, 16410, 334, 7638, 1372, 267, 1234, 684, 542, 267, 2904, 582, 974, 267, 590, 7776, 570, 727, 543, 11010, 10360, 267, 1530, 26338, 3559, 956, 1040, 898, 2882, 2477, 1141, 12680, 568, 8375, 630, 2704, 3455, 807, 267, 5527, 267, 31512, 807, 267, 1530, 26338, 3559, 956, 1070, 2477, 1141, 12680, 568, 1164, 855, 7123, 267, 9991, 676, 1447, 982, 476, 272, 260, 829, 1032, 630, 300, 9926, 3711, 1664, 267, 519, 14891, 6243, 540, 519, 22096, 267, 13280, 267, 543, 4557, 1866, 1070, 543, 2477, 1141, 12680, 568, 1164, 855, 9991, 1360, 6385, 267, 476, 273, 269, 276, 260, 829, 1032, 610, 811, 630, 20685, 11340, 807, 267, 32678, 267, 15057, 267, 5689, 25596, 267, 543, 23683, 2274, 821, 1040, 898, 849, 2882, 2477, 1141, 12680, 3928, 616, 24215, 1164, 267, 23630, 3670, 1453, 829, 4807, 630, 301, 9528, 267, 28950, 807, 267, 932, 611, 267, 667, 13612, 267, 5689, 328, 264, 543, 2477, 1141, 12680, 814, 15468, 547, 10682, 2157, 630, 273, 269, 272, 264, 610, 2630, 630, 307, 684, 529, 807, 267, 24381, 527, 3780, 1040, 16316, 2551, 2208, 3731, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31413, 1436, 543, 24779, 257, 607, 851, 540, 834, 24719, 13316, 1315, 15043, 1299, 24021, 18831, 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, 8080, 547, 519, 1158, 540, 6138, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 513, 2731, 3579, 3350, 1572, 7647, 2880, 1143, 602, 3323, 1282, 519, 5664, 12698, 269, 898, 1522, 3280, 899, 513, 16681, 2262, 267, 855, 1810, 1405, 5855, 910, 621, 781, 2965, 3833, 4277, 2899, 596, 1205, 547, 917, 621, 2439, 5331, 2713, 538, 10120, 2053, 950, 1004, 4769, 1405, 723, 16389, 267, 24195, 267, 610, 1256, 2835, 899, 649, 798, 2221, 269, 1358, 941, 8049, 827, 519, 1158, 1472, 873, 267, 1175, 899, 721, 267, 855, 789, 4769, 1405, 723, 782, 519, 4267, 693, 741, 31840, 269, 1924, 267, 5640, 1394, 1287, 6836, 547, 1174, 1919, 676, 7234, 2462, 2093, 543, 6998, 2055, 269, 2334, 781, 1018, 7647, 2880, 1143, 568, 782, 827, 2439, 3086, 267, 1577, 803, 2995, 596, 513, 1650, 547, 948, 2491, 713, 1523, 1732, 13718, 5629, 2390, 513, 942, 267, 972, 729, 513, 8797, 14544, 3957, 7338, 13985, 21590, 945, 5030, 1282, 519, 17623, 5664, 12698, 269, 1261, 6068, 1565, 1007, 1919, 543, 4941, 547, 2671, 1010, 1702, 609, 1866, 269, 2290, 1554, 267, 646, 4280, 5128, 267, 834, 1432, 2306, 1945, 1318, 610, 4636, 8119, 1677, 1265, 519, 2626, 267, 646, 6594, 1114, 8369, 267, 23503, 609, 2828, 267, 543, 5206, 1524, 1010, 4555, 269, 1635, 3257, 713, 267, 646, 2813, 513, 1062, 540, 3206, 1634, 607, 7849, 4521, 269, 4340, 547, 1864, 267, 930, 3652, 4019, 10876, 1317, 789, 2097, 689, 1480, 2470, 1107, 602, 781, 1946, 649, 1289, 621, 1412, 11499, 9538, 692, 24171, 7012, 1405, 4805, 282, 1082, 13085, 8186, 8329, 547, 7647, 2880, 1143, 2429, 519, 5553, 269, 1280, 1383, 267, 1323, 1088, 332, 540, 2052, 26248, 267, 1776, 16159, 689, 519, 1482, 1974, 267, 11432, 1229, 936, 2436, 2696, 6818, 543, 3357, 909, 609, 606, 2856, 1572, 23835, 1670, 4661, 269, 5213, 1405, 5855, 952, 1346, 1913, 3100, 7294, 1107, 789, 10416, 1611, 602, 646, 5156, 2696, 1590, 2291, 1317, 519, 1360, 2856, 540, 971, 513, 3501, 1373, 10522, 922, 4641, 269, 15346, 267, 26001, 2496, 3383, 267, 1946, 1281, 1022, 540, 713, 2339, 286, 4270, 267, 1589, 827, 707, 1378, 1272, 585, 513, 4090, 269, 1411, 4440, 7237, 3871, 1141, 596, 991, 547, 6430, 1063, 1318, 543, 4636, 1169, 2582, 1554, 269, 2107, 6148, 596, 4898, 3006, 1946, 1978, 1919, 4755, 610, 1018, 2306, 2576, 5963, 6126, 269, 11096, 14279, 899, 7338, 13985, 21590, 543, 1323, 1088, 332, 540, 2052, 26248, 4280, 2147, 2055, 543, 1031, 9266, 7744, 547, 2119, 543, 4137, 856, 2009, 4267, 780, 1103, 2110, 267, 7647, 2880, 1143, 568, 899, 2348, 513, 7874, 7521, 1851, 5100, 11570, 3843, 547, 1174, 1271, 8631, 269, 1656, 3884, 1405, 602, 2186, 540, 1018, 649, 798, 1932, 950, 649, 2911, 827, 2620, 3584, 609, 938, 2828, 610, 1920, 286, 3807, 3314, 267, 1985, 942, 596, 1865, 2462, 2093, 267, 596, 1223, 581, 1739, 538, 519, 3723, 25074, 540, 1390, 4416, 10415, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8469, 8148, 28636, 540, 519, 595, 20975, 454, 1607, 7127, 568, 5497, 607, 513, 5618, 543, 2489, 4367, 547, 519, 1646, 540, 7121, 3069, 689, 519, 4098, 540, 519, 5664, 12698, 267, 538, 519, 15795, 2540, 267, 547, 519, 18234, 6520, 540, 7647, 2880, 1143, 267, 538, 519, 31303, 269, 901, 1646, 568, 4241, 855, 8626, 27274, 1950, 269, 18623, 616, 1175, 4098, 547, 1491, 4063, 540, 519, 2101, 3604, 538, 519, 1620, 540, 6688, 543, 540, 875, 891, 3604, 616, 1644, 547, 519, 4901, 540, 824, 2101, 10952, 3584, 538, 519, 5664, 12698, 269, 13518, 960, 3788, 547, 581, 2944, 267, 1256, 3823, 519, 5784, 540, 26009, 5515, 267, 865, 8209, 649, 723, 1185, 547, 6615, 938, 4901, 547, 1152, 513, 1906, 2101, 5515, 543, 3584, 269, 12846, 267, 649, 4126, 602, 519, 4901, 786, 4196, 607, 513, 1434, 4358, 1448, 585, 4896, 5461, 538, 7121, 3069, 543, 922, 1686, 563, 268, 476, 272, 269, 12983, 454, 268, 476, 273, 269, 18190, 17461, 630, 2181, 1700, 4335, 595, 9950, 8094, 268, 476, 274, 269, 7216, 5664, 12698, 630, 8619, 269, 476, 4335, 1700, 12893, 271, 994, 268, 476, 275, 269, 774, 597, 18818, 11416, 454, 268, 476, 276, 269, 13536, 5664, 12698, 454, 268, 476, 277, 269, 18234, 6520, 540, 7647, 2880, 1143, 454, 268, 476, 278, 269, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 3273, 2880, 1143, 257, 607, 851, 540, 834, 15771, 6579, 5308, 8008, 14176, 1315, 28073, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 5384, 13488, 532, 3414, 6925, 538, 11470, 692, 5970, 596, 2479, 16545, 1373, 2111, 547, 2951, 998, 942, 286, 1677, 3643, 1114, 21971, 267, 2743, 1004, 689, 1686, 267, 543, 7198, 2621, 20250, 1131, 6157, 581, 606, 6909, 7045, 256, 2755, 942, 2951, 949, 1869, 1175, 581, 14810, 267, 1082, 4589, 543, 5496, 32392, 6451, 713, 2856, 883, 741, 2984, 267, 3850, 721, 547, 2263, 3140, 5712, 543, 3621, 2035, 538, 2189, 2081, 269, 4653, 267, 649, 786, 5490, 883, 513, 1808, 9135, 540, 5708, 1107, 2564, 543, 3140, 2564, 5559, 553, 10023, 942, 2951, 1107, 1141, 3197, 3460, 998, 942, 543, 7237, 1585, 2564, 2853, 543, 7760, 780, 20058, 267, 1577, 781, 1174, 1018, 2564, 5559, 553, 616, 269, 1452, 616, 14070, 1568, 630, 7945, 607, 2835, 267, 9413, 267, 610, 8613, 2982, 264, 10704, 1472, 4915, 543, 3782, 4648, 269, 1358, 1419, 4183, 7189, 267, 11923, 267, 10506, 267, 2550, 267, 543, 1272, 11399, 11546, 987, 3871, 269, 634, 24848, 516, 540, 3140, 2564, 5559, 553, 8591, 1776, 4494, 267, 2921, 1747, 1282, 1713, 2053, 538, 1480, 1686, 950, 2564, 1620, 729, 3908, 3379, 547, 2221, 269, 901, 2636, 13588, 547, 1451, 827, 2250, 12977, 1247, 11981, 513, 9159, 1650, 1467, 780, 11742, 10707, 2609, 1491, 891, 6386, 547, 606, 7357, 1007, 1377, 269, 5994, 513, 9952, 4387, 689, 938, 1699, 5736, 4012, 1227, 4466, 2933, 8026, 4915, 5553, 3516, 269, 1215, 1131, 789, 11883, 609, 14542, 3676, 267, 5574, 267, 543, 6848, 8155, 286, 1548, 1223, 789, 4001, 1866, 827, 4915, 543, 875, 1522, 789, 1332, 5923, 518, 1813, 547, 741, 2833, 286, 1635, 9256, 3140, 5468, 267, 2564, 4798, 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 ]
[ 0, 1607, 4015, 2882, 476, 18597, 11147, 540, 3979, 1977, 23597, 538, 476, 1839, 2829, 269, 769, 1840, 547, 6337, 540, 3885, 267, 1153, 1453, 267, 543, 5939, 4142, 10716, 267, 8711, 1331, 1895, 23609, 540, 519, 2817, 4563, 590, 8651, 10985, 4937, 2483, 28893, 1977, 23597, 282, 3979, 1977, 2021, 282, 715, 12584, 454, 7628, 1010, 1614, 1296, 2324, 585, 519, 8828, 21676, 8175, 267, 13343, 3212, 653, 2401, 3576, 936, 476, 1556, 267, 1822, 11147, 25643, 519, 3540, 2924, 3350, 267, 1514, 2175, 538, 3844, 17665, 267, 543, 2575, 12644, 630, 324, 3052, 1421, 13095, 24297, 267, 570, 2088, 25306, 1040, 2986, 1880, 4063, 2483, 28893, 1977, 2021, 282, 3979, 1977, 2021, 3540, 2924, 4600, 282, 25925, 15945, 282, 6406, 2924, 23405, 282, 6406, 2924, 5322, 282, 6468, 2206, 619, 454, 18197, 2276, 4534, 17665, 4534, 27293, 282, 2136, 2276, 4534, 14967, 4534, 12722, 454, 1607, 3059, 4015, 2882, 476, 25172, 6054, 689, 519, 20274, 3557, 10966, 7040, 267, 6406, 8865, 3143, 269, 476, 27628, 6321, 454, 12671, 519, 1101, 3979, 12677, 4807, 15861, 547, 519, 2160, 540, 20274, 1876, 1153, 538, 476, 3707, 279, 563, 28893, 1977, 2021, 282, 6406, 2924, 5322, 454, 18197, 2276, 4534, 20274, 454, 11514, 2452, 513, 3677, 3239, 543, 811, 6221, 1344, 950, 519, 24072, 533, 13415, 936, 513, 14853, 333, 841, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 1879, 8361, 10742, 909, 609, 513, 20754, 812, 267, 1018, 1281, 519, 812, 1616, 547, 917, 888, 273, 269, 4208, 568, 8361, 10288, 547, 1205, 13343, 1055, 519, 4155, 888, 274, 269, 1215, 1281, 8361, 781, 2243, 827, 1010, 22838, 3136, 888, 275, 269, 1548, 3123, 8361, 781, 4090, 540, 11784, 888, 276, 269, 1306, 519, 5742, 7980, 1205, 1394, 883, 2990, 267, 1018, 568, 8345, 888, 14112, 4828, 5999, 454, 272, 269, 1548, 568, 8361, 781, 1966, 602, 8952, 1864, 689, 13059, 547, 1010, 31458, 1318, 2476, 888, 273, 269, 14674, 519, 2707, 540, 519, 15555, 528, 540, 2469, 547, 6370, 519, 1985, 1554, 602, 4422, 998, 519, 3786, 563, 274, 269, 16294, 519, 844, 663, 776, 8361, 9060, 5128, 538, 1310, 646, 814, 2196, 689, 519, 25071, 563, 275, 269, 1548, 568, 519, 1101, 15555, 528, 602, 4991, 3323, 607, 513, 1267, 540, 519, 6370, 888, 276, 269, 1548, 2306, 8361, 1589, 519, 942, 814, 2097, 585, 1864, 547, 1265, 856, 827, 5128, 888, 277, 269, 14674, 875, 8361, 781, 22027, 543, 2055, 561, 5424, 607, 646, 3649, 1080, 538, 519, 3786, 563, 278, 269, 1548, 568, 8345, 782, 1472, 8361, 888, 279, 269, 1215, 1131, 596, 4766, 519, 6364, 540, 713, 1101, 6370, 888, 280, 269, 14674, 875, 519, 2367, 3459, 547, 8774, 741, 5679, 2355, 2931, 563, 1015, 269, 9181, 8361, 781, 4090, 540, 11784, 563, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 2237, 606, 1557, 827, 519, 2360, 540, 15555, 528, 269, 769, 707, 1957, 267, 1331, 875, 32422, 1205, 3323, 543, 1946, 789, 616, 1034, 1419, 4636, 269, 4746, 2446, 875, 2352, 621, 568, 547, 20912, 15555, 528, 950, 519, 5354, 540, 1004, 1472, 16119, 3494, 519, 15555, 528, 568, 3020, 269, 11512, 950, 15555, 528, 666, 1831, 5906, 563, 13625, 13445, 476, 273, 454, 2237, 606, 1557, 827, 513, 2875, 3843, 547, 7787, 1125, 2476, 1010, 610, 1200, 711, 2348, 2944, 8655, 6780, 269, 769, 519, 1557, 2285, 1806, 540, 1896, 2300, 4926, 519, 2875, 1522, 1118, 269, 3973, 1448, 856, 1946, 3610, 25864, 2887, 585, 971, 7787, 3074, 563, 13625, 13445, 476, 274, 454, 2237, 606, 1557, 827, 4466, 519, 1434, 602, 2501, 856, 540, 3983, 3871, 269, 11512, 875, 519, 6406, 2782, 267, 835, 540, 519, 4158, 652, 3108, 538, 938, 1686, 267, 8507, 538, 513, 2178, 19618, 6243, 269, 769, 707, 1557, 2491, 1018, 1522, 723, 5949, 952, 519, 3162, 1185, 16309, 538, 694, 1027, 532, 689, 519, 5742, 563, 1607, 3296, 3568, 476, 24798, 1913, 454, 26140, 269, 476, 274, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 24868, 1214, 10597, 1426, 6981, 538, 3425, 281, 10020, 540, 10444, 10391, 2893, 328, 1214, 454, 5723, 22552, 16898, 26062, 14633, 5396, 941, 6594, 547, 6218, 519, 1198, 540, 25430, 540, 10444, 4714, 2827, 540, 5892, 13881, 3536, 593, 10444, 10391, 2893, 328, 1214, 543, 6981, 269, 634, 5396, 17696, 3943, 535, 1845, 1287, 6960, 773, 25394, 740, 5391, 527, 636, 538, 1614, 3871, 281, 834, 3000, 582, 517, 748, 257, 910, 535, 1845, 1287, 6960, 625, 941, 10057, 4805, 282, 834, 13678, 6714, 748, 257, 910, 7873, 9323, 630, 8208, 577, 1575, 543, 949, 30358, 1047, 585, 519, 535, 1845, 267, 29877, 8645, 543, 627, 5792, 8645, 585, 519, 6960, 625, 264, 941, 3773, 1282, 703, 1389, 282, 834, 338, 15471, 633, 257, 910, 1310, 6981, 540, 535, 1845, 4805, 267, 11337, 577, 1575, 1287, 949, 30358, 1047, 941, 2139, 609, 535, 1845, 543, 267, 1310, 6981, 540, 6960, 625, 4805, 267, 29877, 8645, 1287, 627, 5792, 8645, 941, 6035, 609, 6960, 625, 269, 634, 9424, 13881, 538, 519, 834, 13678, 6714, 748, 257, 543, 834, 338, 15471, 633, 257, 3871, 941, 2362, 630, 335, 283, 271, 269, 9826, 264, 982, 1346, 538, 519, 834, 3000, 582, 517, 748, 257, 835, 630, 16825, 276, 266, 25773, 6812, 273, 543, 476, 12739, 273, 266, 25773, 6507, 278, 737, 5632, 5288, 476, 15686, 276, 266, 25773, 4649, 273, 737, 5632, 267, 6606, 1040, 769, 519, 834, 338, 15471, 633, 257, 3510, 267, 15949, 4577, 16863, 585, 535, 1845, 21022, 1282, 6981, 855, 2799, 1310, 519, 4367, 540, 11337, 577, 1575, 267, 3056, 547, 3606, 6981, 540, 535, 1845, 269, 6684, 267, 15949, 4577, 16863, 585, 6960, 625, 21022, 1282, 6981, 543, 2799, 1310, 519, 4367, 540, 29877, 8645, 3056, 547, 3606, 6960, 773, 6981, 630, 16673, 30358, 1047, 543, 627, 5792, 8645, 1185, 1100, 1713, 1198, 1040, 5253, 3099, 267, 5833, 676, 4946, 7873, 9323, 666, 2333, 1426, 6981, 538, 519, 2110, 2165, 269, 634, 7271, 676, 799, 1426, 4616, 568, 2799, 1310, 519, 1840, 540, 7873, 9323, 568, 5189, 568, 693, 2547, 14356, 1644, 547, 519, 22887, 6672, 540, 10444, 1606, 10620, 1214, 585, 513, 2016, 1426, 563, 314, 17004, 7493, 316, 1496, 295, 728, 7493, 2639, 268, 834, 19423, 1359, 513, 3099, 540, 3536, 538, 513, 7594, 9846, 4679, 6981, 630, 27778, 1180, 601, 1696, 620, 1421, 476, 1220, 280, 282, 670, 5930, 15838, 267, 476, 1960, 277, 282, 590, 21417, 27231, 523, 267, 631, 21417, 28705, 267, 4469, 842, 267, 6742, 839, 267, 1299, 15887, 523, 267, 476, 1220, 274, 1070, 519, 811, 1114, 519, 3536, 616, 519, 3152, 519, 19349, 630, 305, 565, 3149, 1696, 620, 1421, 476, 2735, 272, 1070, 543, 28916, 556, 11779, 548, 14031, 950, 513, 1268, 568, 4843, 609, 3536, 602, 8428, 689, 519, 12608, 6500, 543, 1292, 6030, 630, 7230, 1157, 267, 27029, 5723, 22552, 16898, 281, 1284, 25077, 602, 5493, 919, 3095, 24549, 2803, 543, 3425, 609, 8916, 543, 2015, 875, 891, 3347, 723, 4957, 13840, 269, 1323, 1140, 25293, 31370, 267, 799, 6087, 24549, 2803, 547, 2743, 2115, 585, 5567, 543, 1582, 2173, 539, 6510, 547, 6439, 1518, 32277, 625, 267, 27372, 689, 1614, 954, 22366, 3157, 281, 8137, 1922, 3975, 3724, 12205, 267, 8244, 540, 20239, 32554, 1227, 3638, 3536, 267, 543, 1565, 538, 14685, 334, 543, 2038, 538, 1272, 547, 3548, 16138, 5109, 10659, 540, 3536, 269, 2334, 4386, 950, 3552, 610, 6469, 24549, 2803, 28532, 593, 20239, 32554, 1227, 3638, 8916, 267, 568, 1447, 1455, 950, 6469, 24549, 2803, 28532, 593, 1395, 665, 11857, 2250, 999, 267, 568, 2673, 547, 4642, 585, 24549, 2803, 538, 3049, 331, 1824, 267, 543, 568, 5051, 4686, 585, 1004, 945, 28532, 538, 2413, 1426, 19093, 269, 9521, 938, 11937, 267, 519, 5493, 919, 540, 1082, 2043, 616, 1100, 3476, 5532, 538, 2635, 2081, 609, 8916, 269, 11633, 8105, 543, 5542, 585, 6556, 267, 5920, 267, 543, 3560, 1464, 21022, 519, 8137, 267, 20239, 12950, 17381, 267, 543, 4333, 633, 1871, 540, 5613, 543, 5388, 585, 3425, 269, 24695, 339, 32554, 1227, 791, 1478, 1639, 2250, 999, 543, 3049, 14309, 11326, 666, 28148, 1860, 519, 1072, 540, 13184, 543, 519, 8137, 543, 4333, 633, 1871, 540, 5779, 543, 5144, 2472, 585, 3425, 269, 2755, 10366, 540, 3132, 267, 5779, 267, 543, 10683, 723, 1831, 1025, 6387, 267, 9268, 3536, 723, 1831, 811, 14909, 607, 1004, 723, 4121, 547, 3095, 10991, 10366, 609, 5955, 689, 1648, 11656, 7135, 602, 21372, 9422, 7663, 8864, 543, 27298, 1072, 269, 4935, 267, 519, 5107, 2371, 543, 2831, 2899, 5129, 538, 6484, 723, 1044, 721, 584, 6244, 676, 9268, 3536, 602, 616, 12012, 267, 25167, 267, 543, 23353, 538, 2081, 602, 666, 28148, 1860, 12608, 1438, 2829, 543, 1426, 7375, 269, 634, 991, 547, 18985, 3536, 267, 543, 547, 1491, 8770, 9360, 267, 1223, 581, 4389, 676, 2870, 20239, 32554, 1227, 3638, 2371, 543, 24549, 2803, 543, 676, 2870, 4529, 602, 917, 875, 547, 9192, 3536, 883, 6980, 602, 16138, 880, 543, 2893, 5573, 6993, 653, 564, 924, 476, 5400, 270, 1001, 276, 282, 538, 2046, 269, 20396, 281, 1015, 269, 6200, 277, 10768, 269, 1952, 564, 269, 1001, 276, 269, 5400, 269, 21916, 5788, 476, 273, 269, 7597, 8177, 16748, 454, 314, 17004, 7493, 316, 1496, 295, 728, 7493, 2639, 268, 834, 10932, 14236, 519, 2360, 540, 7594, 3099, 814, 22157, 547, 13404, 593, 519, 12214, 543, 5626, 3157, 602, 3895, 7594, 26694, 630, 324, 3052, 1421, 10444, 10391, 2893, 328, 1214, 630, 27778, 1180, 601, 1696, 620, 1421, 476, 1220, 280, 282, 14105, 24335, 1299, 9210, 7322, 267, 476, 1220, 272, 282, 17029, 3149, 1696, 620, 1421, 476, 2735, 272, 282, 17029, 3149, 267, 11709, 13660, 6359, 1597, 17383, 867, 324, 267, 1299, 17029, 3149, 267, 476, 2735, 275, 1040, 1717, 267, 2487, 1382, 5267, 602, 7594, 2450, 568, 1360, 1419, 9709, 267, 543, 4061, 5462, 267, 538, 4434, 540, 4189, 630, 293, 599, 1696, 620, 1421, 476, 1001, 272, 282, 670, 15586, 1696, 620, 1421, 476, 1001, 274, 1040, 27029, 5723, 22552, 16898, 281, 2725, 531, 3099, 814, 1044, 3254, 547, 2333, 1648, 6981, 538, 3425, 676, 606, 3328, 540, 476, 3066, 10065, 25214, 267, 1382, 3695, 519, 7271, 5817, 713, 1198, 814, 5059, 593, 12214, 543, 5626, 3157, 602, 2165, 3729, 513, 7594, 630, 324, 3052, 1421, 10444, 10391, 2893, 328, 1214, 1040, 1284, 8179, 547, 2263, 2436, 7594, 3099, 22262, 6981, 676, 12018, 840, 268, 22596, 4058, 269, 1284, 917, 602, 2043, 946, 1991, 1995, 609, 513, 1426, 547, 7447, 519, 6708, 547, 799, 621, 786, 5838, 2407, 1145, 269, 1452, 2048, 1410, 4624, 2893, 2747, 685, 21520, 949, 581, 3551, 950, 1152, 835, 7594, 5057, 2115, 547, 581, 2808, 855, 621, 3788, 15458, 875, 17053, 2893, 2747, 568, 6059, 950, 513, 7594, 13408, 2789, 3688, 269, 1284, 24370, 2213, 602, 1004, 14458, 519, 4305, 676, 1210, 513, 646, 22618, 267, 610, 2048, 322, 4321, 30246, 10200, 13018, 267, 607, 1369, 268, 22596, 3099, 4679, 267, 4397, 2893, 2747, 11148, 547, 581, 1759, 593, 519, 9228, 4320, 540, 1426, 4433, 264, 2864, 982, 593, 1991, 1995, 269, 769, 1142, 4693, 267, 5171, 630, 301, 815, 476, 6924, 264, 941, 3254, 513, 6676, 540, 1426, 609, 3670, 10889, 564, 1426, 3688, 269, 21661, 8062, 519, 1297, 540, 1114, 3536, 9867, 538, 519, 2039, 835, 547, 3670, 269, 769, 5094, 4247, 267, 519, 5171, 3177, 606, 7447, 540, 741, 5916, 4397, 2893, 2747, 543, 4320, 269, 1879, 7594, 3099, 729, 1164, 267, 21520, 540, 9228, 4320, 543, 4397, 2893, 2747, 2048, 935, 591, 3022, 10200, 901, 568, 5812, 609, 513, 1455, 5817, 3210, 4640, 269, 1635, 4334, 267, 519, 1970, 3099, 6980, 3812, 4744, 1539, 762, 6114, 267, 11021, 602, 21520, 540, 4397, 2893, 2747, 941, 711, 18170, 9003, 676, 9228, 4320, 269, 901, 2963, 585, 513, 2048, 14179, 2541, 646, 22618, 685, 729, 2523, 2312, 538, 1004, 945, 941, 1447, 5432, 609, 519, 7594, 3688, 269, 8625, 267, 891, 2164, 616, 1271, 1317, 789, 16616, 513, 3209, 1184, 676, 799, 7594, 3099, 1522, 2333, 1426, 6981, 538, 3425, 6993, 653, 564, 924, 476, 4905, 270, 1001, 276, 282, 476, 8660, 269, 20396, 281 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 296, 4312, 1044, 23712, 609, 8284, 3610, 547, 2119, 543, 2697, 875, 649, 666, 948, 1053, 609, 519, 2596, 4058, 2877, 585, 513, 2257, 4023, 1788, 269, 1284, 3323, 713, 3561, 269, 7490, 948, 676, 11049, 713, 585, 9355, 543, 1919, 596, 2503, 1053, 547, 581, 3257, 607, 789, 1544, 543, 2932, 606, 4603, 269, 630, 5278, 540, 519, 1655, 2242, 949, 2097, 689, 1875, 1606, 7220, 3610, 26695, 19370, 3503, 519, 2243, 596, 616, 3843, 547, 1451, 827, 563, 1692, 1281, 12843, 1693, 630, 5715, 8817, 24438, 264, 1018, 594, 1689, 454, 320, 977, 12843, 1693, 630, 291, 8817, 24438, 264, 1018, 2242, 607, 513, 1267, 454, 19370, 630, 2237, 856, 707, 1966, 607, 513, 2347, 4845, 1934, 8094, 29797, 582, 4185, 3503, 707, 12605, 538, 519, 1403, 2507, 6533, 2507, 3898, 269, 2142, 966, 28475, 1808, 609, 707, 12605, 563, 263, 5715, 8817, 24438, 264, 1287, 26114, 454, 29797, 582, 4185, 630, 2237, 856, 707, 8367, 607, 513, 2347, 4845, 1934, 8094, 268, 5903, 519, 2326, 596, 786, 946, 563, 268, 3503, 856, 519, 4603, 1900, 676, 1900, 454, 268, 2142, 1808, 454, 268, 8307, 1449, 21450, 4756, 454, 268, 14674, 875, 596, 786, 1852, 782, 824, 4632, 454, 268, 4643, 875, 596, 786, 2445, 1239, 454, 8266, 519, 2326, 596, 786, 946, 912, 2237, 856, 519, 3268, 540, 707, 5650, 315, 912, 268, 4643, 1018, 1239, 596, 786, 2445, 1354, 596, 2253, 707, 4603, 454, 268, 11814, 2143, 1239, 910, 946, 4578, 7305, 952, 2877, 454, 268, 3503, 1239, 538, 519, 1239, 3349, 950, 3617, 454, 347, 23945, 585, 10655, 1239, 281, 630, 2237, 856, 707, 1544, 607, 513, 2347, 4845, 1934, 4700, 2008, 10574, 7305, 630, 604, 2877, 994, 347, 10574, 18224, 8641, 707, 1239, 2008, 268, 3417, 519, 3617, 1826, 540, 3113, 454, 268, 5410, 513, 3113, 2140, 454, 268, 5410, 10297, 547, 519, 2473, 543, 962, 17887, 454, 268, 3417, 519, 3617, 4559, 454, 268, 5269, 2386, 707, 4336, 568, 4977, 454, 347, 10574, 18224, 4211, 20199, 4578, 2008, 268, 1548, 729, 707, 3409, 286, 630, 305, 1168, 1679, 707, 8367, 8094, 268, 1548, 1239, 7028, 610, 1281, 711, 1489, 707, 3409, 270, 1506, 13607, 4185, 888, 268, 14424, 707, 1239, 609, 707, 3409, 269, 1548, 15549, 270, 935, 2424, 666, 596, 2721, 286, 630, 8196, 2407, 5220, 547, 1921, 707, 1239, 609, 707, 3409, 1916, 347, 6962, 3503, 513, 2347, 4845, 8220, 707, 1239, 543, 8367, 269, 3417, 2104, 4566, 547, 4434, 707, 1565, 269, 347, 0, 5825, 539, 547, 1625, 1518, 6704, 1216, 593, 21011, 13485, 6993, 335, 18099, 476, 1704, 10046, 333, 25914, 710, 2549, 335, 537, 548, 6034, 569, 689, 519, 9608, 14635, 540, 17030, 16710, 21602, 15815, 582, 27050, 27213, 269, 589, 3043, 570, 1030, 23127, 18041, 537, 548, 609, 519, 8465, 6418, 9126, 16856, 267, 2949, 476, 274, 269, 1839, 257, 1279, 1535, 476, 272, 269, 23841, 257, 538, 8006, 267, 855, 1631, 538, 1079, 2694, 269, 634, 1283, 6712, 814, 519, 9102, 24795, 834, 6224, 299, 3036, 12114, 270, 29332, 296, 268, 277, 1321, 271, 4097, 278, 268, 2641, 270, 476, 6187, 274, 7830, 21191, 295, 277, 6434, 272, 257, 2059, 609, 513, 1507, 5180, 6529, 518, 609, 513, 1688, 25740, 834, 4041, 288, 298, 2668, 634, 5377, 3296, 814, 513, 3259, 540, 476, 272, 257, 9633, 532, 11746, 609, 513, 1688, 25740, 834, 295, 277, 6434, 272, 2668, 20963, 2783, 563, 5629, 3232, 267, 835, 540, 891, 18041, 537, 956, 729, 22280, 883, 519, 1216, 3761, 267, 4553, 676, 513, 3114, 17280, 543, 606, 28166, 267, 538, 1931, 547, 21149, 543, 1625, 1518, 519, 12284, 781, 6704, 1216, 269, 589, 3349, 538, 519, 8331, 3561, 267, 834, 9915, 268, 3607, 279, 4437, 32441, 11778, 540, 21011, 257, 11331, 834, 300, 2153, 9046, 12834, 270, 4826, 4427, 17882, 257, 19528, 513, 1966, 540, 891, 18041, 537, 956, 682, 1136, 1282, 21011, 13485, 476, 1428, 267, 476, 1626, 267, 543, 476, 1704, 912, 257, 19370, 13517, 268, 25914, 710, 543, 17280, 18041, 2737, 682, 8898, 950, 22280, 563, 290, 1021, 268, 28740, 9126, 2736, 720, 1813, 547, 16345, 2042, 543, 8930, 4221, 1063, 3774, 543, 1439, 6676, 563, 300, 2153, 8177, 268, 22490, 3606, 12284, 942, 543, 30749, 4799, 1607, 1459, 2603, 568, 606, 1383, 540, 1175, 971, 513, 5692, 1966, 269, 7490, 2070, 713, 2603, 593, 938, 3896, 585, 811, 2930, 1344, 563, 1103, 7672, 609, 713, 2603, 568, 513, 9896, 14594, 540, 27872, 689, 3967, 27213, 630, 300, 3464, 269, 27050, 27213, 264, 17548, 281, 834, 296, 5909, 1518, 602, 519, 25914, 710, 2549, 335, 2544, 602, 9311, 625, 713, 4484, 729, 2095, 333, 547, 519, 7599, 20829, 21011, 476, 1704, 267, 5412, 476, 3192, 273, 269, 634, 2549, 335, 2544, 729, 1031, 547, 948, 632, 4186, 3133, 622, 6704, 1216, 20829, 519, 14361, 269, 898, 568, 1851, 519, 1906, 3688, 1250, 9393, 27050, 27213, 267, 21011, 476, 1704, 595, 6573, 267, 17477, 689, 519, 8184, 543, 621, 814, 1044, 609, 938, 1920, 2094, 602, 942, 4799, 5804, 519, 21011, 476, 1704, 2930, 12284, 3181, 4361, 532, 912, 1862, 296, 9364, 899, 547, 2446, 8392, 1588, 693, 713, 1448, 563, 21413, 3111, 267, 3592, 1169, 8392, 1588, 682, 8898, 269, 6884, 1804, 9424, 540, 1216, 267, 824, 2053, 1175, 1507, 9424, 540, 1216, 563, 12850, 610, 20841, 888, 288, 4999, 269, 7316, 621, 682, 8898, 7902, 547, 581, 1472, 519, 9126, 269, 898, 729, 519, 20425, 20841, 7006, 27660, 602, 729, 16111, 6632, 269, 898, 729, 711, 1141, 519, 7006, 27660, 3514, 883, 519, 13549, 610, 1141, 519, 13549, 3082, 528, 3514, 883, 519, 14361, 269, 898, 729, 1369, 519, 20841, 7006, 27660, 3294, 269, 25914, 1588, 729, 513, 2013, 540, 2141, 7738, 707, 3946, 609, 20841, 1317, 596, 2141, 1185, 621, 2139, 1524, 972, 1369, 602, 7006, 27660, 269, 769, 930, 2665, 267, 596, 1185, 513, 3677, 7274, 540, 1216, 602, 1185, 547, 581, 530, 21317, 909, 609, 513, 5160, 269, 2334, 12735, 4240, 721, 2429, 519, 2898, 5692, 269, 898, 5828, 856, 711, 547, 581, 513, 3978, 1966, 1317, 649, 4121, 875, 547, 6023, 621, 269, 2334, 729, 835, 1062, 31096, 602, 22821, 1405, 2731, 1044, 4547, 909, 563, 1103, 1079, 2665, 267, 594, 6415, 3592, 2318, 267, 621, 1705, 711, 14047, 675, 519, 18041, 2544, 269, 634, 2601, 594, 3494, 602, 781, 2953, 568, 602, 267, 950, 596, 3323, 547, 1835, 1678, 519, 3544, 540, 519, 22101, 8291, 1524, 547, 7903, 519, 20841, 883, 519, 1216, 1062, 910, 621, 729, 1360, 2182, 547, 2490, 269, 1403, 596, 6836, 547, 3196, 621, 267, 596, 1223, 3196, 621, 593, 1524, 972, 267, 543, 594, 6415, 2386, 602, 781, 513, 1434, 1259, 547, 2736, 606, 18041, 2544, 593, 519, 3364, 269, 769, 1079, 2665, 267, 649, 3576, 519, 15922, 517, 564, 17501, 10690, 1586, 543, 2322, 621, 1394, 593, 972, 267, 543, 538, 1312, 2665, 267, 1287, 596, 9364, 1376, 547, 25837, 519, 20841, 856, 540, 519, 18041, 2544, 883, 519, 1062, 267, 543, 621, 1131, 2490, 4443, 563, 2171, 3893, 519, 8392, 1588, 2944, 269, 1284, 4769, 1405, 4413, 1022, 24409, 540, 20841, 267, 543, 649, 4769, 1405, 4413, 1022, 540, 519, 17280, 5439, 269, 594, 7058, 649, 3893, 519, 2816, 2944, 282, 621, 729, 1175, 513, 2370, 3787, 30255, 269, 634, 20841, 729, 10423, 1317, 519, 7131, 305, 5555, 22019, 539, 782, 519, 9018, 2960, 1055, 1010, 1318, 1688, 269, 594, 6415, 18617, 621, 729, 1813, 547, 519, 20841, 267, 543, 1185, 4986, 547, 798, 609, 519, 12601, 288, 563, 293, 4315, 267, 1744, 6235, 267, 543, 30047, 13517, 281, 645, 2714, 956, 267, 808, 1513, 1299, 29597, 619, 630, 1613, 11288, 1344, 994, 306, 2297, 12525, 1344, 1923, 16301, 543, 17148, 454, 289, 27570, 13832, 543, 645, 573, 9214, 906, 454, 10908, 27443, 540, 16301, 454, 24246, 518, 781, 20031, 1756, 829, 20769, 912, 866, 269, 276, 260, 540, 519, 3811, 19915, 630, 2381, 3065, 1269, 1691, 264, 829, 2603, 563, 28926, 839, 827, 476, 4905, 270, 6349, 270, 1001, 279, 454, 268, 12815, 589, 25934, 18880, 630, 335, 4631, 267, 6337, 267, 2407, 11673, 267, 3092, 8094, 268, 645, 573, 2228, 454, 268, 5131, 11814, 528, 20394, 454, 268, 21763, 5903, 609, 8216, 552, 17733, 711, 5874, 454, 268, 25841, 25488, 862, 3827, 950, 596, 1191, 961, 707, 454, 268, 22418, 25790, 454, 268, 2859, 645, 1342, 619, 454, 268, 11565, 539, 20226, 454, 268, 3683, 476, 1220, 267, 1822, 9045, 529, 30829, 3117, 793, 832, 4595, 476, 3192, 277, 454, 9596, 827, 931, 793, 532, 609, 721, 454, 1607, 729, 1250, 1101, 942, 7231, 609, 606, 25488, 2777, 267, 543, 594, 993, 476, 1911, 260, 4625, 24330, 609, 11595, 269, 1703, 568, 711, 606, 2460, 540, 713, 1184, 602, 594, 723, 513, 16472, 585, 24707, 2859, 4530, 30266, 10118, 454, 11190, 2593, 11392, 811, 6808, 982, 1022, 824, 25488, 2777, 3896, 269, 630, 13126, 281, 5381, 19986, 2593, 264, 0, 8310, 15964, 519, 4095, 2229, 10443, 513, 1360, 4277, 4603, 1107, 513, 2048, 327, 871, 25070, 685, 2966, 547, 5000, 2804, 2208, 538, 519, 2197, 563, 763, 11360, 25070, 729, 513, 476, 3953, 16923, 6735, 1141, 1762, 3301, 9367, 267, 9858, 267, 543, 32349, 2841, 539, 547, 3094, 513, 6666, 16101, 540, 476, 1839, 267, 1822, 4095, 8297, 701, 525, 630, 12671, 11278, 4968, 1040, 634, 5171, 941, 4397, 547, 3132, 1102, 16623, 267, 8924, 585, 11436, 267, 610, 8874, 1210, 1239, 689, 519, 2229, 10452, 741, 4566, 585, 519, 1985, 2947, 1296, 563, 1103, 2110, 267, 519, 2229, 729, 3246, 2804, 2208, 1239, 543, 6998, 891, 1762, 543, 3860, 1004, 547, 2995, 519, 1650, 540, 875, 3127, 786, 1332, 538, 519, 1985, 2947, 1296, 538, 513, 1259, 602, 1131, 581, 4277, 547, 3339, 1004, 1107, 519, 2186, 540, 1004, 945, 2356, 2879, 5622, 2763, 950, 12654, 20327, 616, 12286, 538, 519, 2046, 563, 30025, 26110, 849, 6170, 519, 1554, 1354, 519, 11360, 25070, 2324, 609, 519, 18917, 547, 1491, 2093, 689, 519, 9962, 2146, 3544, 540, 3127, 269, 25175, 1223, 2047, 12334, 1010, 610, 1200, 2093, 547, 519, 2229, 1210, 519, 18917, 3127, 12108, 2272, 563, 1607, 568, 513, 1390, 2856, 585, 513, 1297, 540, 4128, 269, 3689, 267, 621, 9727, 602, 519, 4095, 2229, 568, 5423, 547, 6432, 547, 2093, 689, 3544, 3127, 543, 547, 2503, 3687, 8651, 547, 16175, 7521, 2093, 607, 789, 12446, 269, 5822, 267, 621, 2982, 519, 1871, 540, 519, 15624, 269, 1280, 519, 19160, 540, 513, 1507, 6666, 16101, 519, 7104, 12058, 540, 1082, 5215, 540, 1004, 666, 581, 15600, 543, 741, 2093, 666, 1287, 8300, 1082, 6634, 540, 1004, 563, 5331, 952, 519, 2229, 1185, 20827, 606, 10229, 8116, 547, 1118, 741, 2804, 4566, 811, 4277, 269, 898, 1131, 4440, 723, 1942, 1082, 6634, 540, 9489, 547, 1711, 513, 4670, 543, 621, 1131, 581, 689, 519, 9345, 540, 15454, 15515, 12023, 10229, 26933, 1107, 15991, 607, 11121, 607, 15603, 519, 6107, 540, 519, 4182, 1374, 519, 5048, 563, 2252, 713, 568, 875, 519, 2229, 540, 3127, 666, 13789, 267, 26378, 883, 519, 7104, 4987, 540, 1762, 3860, 12075, 543, 519, 9962, 2228, 2146, 267, 1287, 875, 666, 596, 2087, 519, 1259, 707, 1378, 2754, 610, 13539, 4991, 2093, 585, 519, 2104, 888, 20124, 676, 3127, 4826, 5800, 531, 13931, 896, 11300, 12780, 0, 13146, 6201, 540, 16822, 7702, 689, 519, 5680, 454, 4517, 621, 568, 1500, 538, 519, 3504, 1259, 281, 634, 18683, 267, 6805, 547, 11908, 267, 616, 25496, 538, 7117, 557, 341, 686, 267, 10036, 16822, 7702, 6438, 8043, 20898, 609, 10987, 342, 1314, 543, 12617, 538, 519, 3618, 563, 13420, 958, 11141, 568, 606, 796, 15842, 5287, 16822, 7702, 593, 10211, 689, 519, 27062, 7467, 540, 3203, 538, 1715, 3840, 602, 20186, 513, 13465, 267, 2220, 11691, 595, 603, 541, 1712, 267, 513, 3775, 539, 1762, 812, 4730, 519, 5569, 539, 737, 603, 4673, 563, 9349, 513, 512, 8463, 540, 16822, 7702, 25299, 693, 519, 3046, 267, 1287, 3251, 585, 513, 11116, 540, 855, 6670, 1095, 2863, 334, 8423, 1500, 689, 1325, 550, 1690, 8457, 3109, 14918, 563, 2690, 1296, 267, 891, 6705, 723, 1044, 16924, 3186, 655, 2719, 267, 11493, 543, 7542, 13586, 519, 18683, 538, 1930, 1283, 8043, 267, 1287, 10172, 873, 538, 1591, 1513, 1369, 10036, 16822, 7702, 267, 513, 1826, 540, 1079, 268, 1301, 267, 7522, 8405, 6077, 563, 763, 2777, 849, 4421 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 610, 4896, 3116, 945, 2451, 513, 1713, 1764, 593, 2486, 563, 273, 269, 2608, 27094, 9452, 16949, 15846, 589, 3844, 11509, 2078, 10953, 1063, 519, 3119, 3197, 267, 4946, 3178, 543, 7553, 547, 741, 2907, 8903, 8941, 563, 274, 269, 2608, 23208, 12745, 15846, 6452, 23847, 3877, 827, 942, 5712, 267, 4529, 267, 543, 7239, 10802, 519, 2239, 543, 948, 1711, 606, 8076, 5790, 563, 275, 269, 2608, 9209, 2065, 17821, 15846, 2755, 16135, 538, 4641, 267, 4589, 1491, 3860, 22624, 950, 13167, 19929, 267, 4555, 267, 543, 824, 3344, 540, 519, 1650, 547, 3986, 5467, 6278, 563, 276, 269, 2608, 14807, 1049, 10025, 15846, 22419, 2744, 5813, 883, 3140, 2621, 267, 6848, 8155, 267, 543, 9565, 14789, 1247, 11981, 513, 678, 633, 1154, 4729, 780, 1262, 14300, 540, 4437, 7240, 7931, 1734, 16001, 2414, 2285, 596, 513, 1732, 1620, 540, 713, 9135, 267, 1577, 781, 2263, 930, 2442, 27367, 32741, 1384, 272, 269, 2608, 290, 548, 641, 21358, 781, 9855, 265, 676, 966, 1157, 344, 1325, 557, 541, 2701, 551, 518, 910, 7427, 519, 1272, 540, 7581, 641, 21358, 17286, 2940, 4083, 267, 8250, 540, 10348, 7581, 641, 21358, 23446, 543, 4460, 4165, 3415, 267, 607, 1352, 4044, 919, 1200, 1378, 3460, 2509, 1379, 543, 9060, 2648, 2059, 519, 1259, 563, 273, 269, 2608, 313, 281, 589, 23397, 540, 2098, 601, 6767, 32684, 265, 676, 1703, 572, 14732, 674, 578, 2401, 910, 13028, 519, 31341, 6681, 7365, 543, 11450, 1063, 1340, 539, 2278, 674, 269, 8845, 32684, 543, 1010, 9058, 7385, 267, 2098, 601, 6767, 267, 1282, 519, 10162, 2130, 3828, 550, 625, 563, 274, 269, 2608, 763, 8303, 654, 1057, 265, 676, 14529, 3121, 32511, 664, 910, 15232, 519, 1950, 6125, 1063, 29527, 12920, 532, 3118, 543, 1010, 1101, 7385, 267, 16874, 2917, 27672, 517, 267, 1305, 1996, 519, 20457, 540, 8303, 538, 519, 476, 4572, 271, 338, 563, 275, 269, 2608, 13563, 667, 31866, 1087, 281, 589, 23397, 540, 3117, 3241, 334, 966, 6387, 321, 2830, 265, 676, 27239, 22489, 910, 6258, 827, 1977, 646, 328, 816, 3117, 3241, 334, 966, 6387, 321, 2830, 781, 11231, 7365, 547, 519, 16099, 540, 3057, 331, 28386, 543, 1200, 4339, 585, 7115, 543, 1582, 22523, 780, 3086, 602, 596, 917, 811, 827, 519, 9159, 1158, 540, 27367, 32741, 267, 621, 781, 942, 547, 4584, 909, 513, 3209, 543, 23365, 3054, 538, 519, 13858, 2729, 540, 1483, 3140, 5515, 1303, 342, 1441, 609, 4190, 2648, 2984, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 6097, 547, 519, 8585, 26713, 268, 31812, 9218, 267, 513, 9135, 568, 513, 968, 322, 14394, 540, 7499, 267, 7574, 267, 610, 5339, 5888, 6353, 676, 513, 1880, 2511, 267, 1106, 267, 610, 1543, 1848, 1284, 1131, 1039, 519, 2856, 602, 5176, 1022, 1106, 540, 2923, 630, 25740, 267, 17391, 267, 610, 3308, 264, 666, 581, 19040, 676, 11964, 269, 898, 779, 1175, 835, 540, 1082, 1114, 2081, 602, 513, 1268, 666, 1865, 2835, 267, 8613, 5752, 267, 2110, 2984, 267, 9413, 267, 543, 811, 269, 3683, 519, 1985, 1906, 4374, 267, 649, 2219, 621, 1131, 581, 1187, 547, 1413, 693, 936, 513, 18797, 1114, 4670, 11964, 630, 337, 4474, 689, 19347, 547, 530, 525, 3179, 1070, 13713, 10747, 1978, 4162, 1455, 547, 1022, 4670, 538, 602, 9135, 267, 543, 1287, 17609, 930, 540, 938, 5172, 9413, 689, 519, 2016, 7121, 269, 1284, 8910, 2648, 547, 723, 707, 3403, 267, 607, 1134, 256, 9523, 609, 1866, 1018, 707, 5172, 8874, 616, 689, 1142, 9135, 616, 543, 1946, 269, 1284, 1413, 4464, 547, 1373, 5189, 547, 1007, 3562, 268, 639, 10643, 267, 610, 1373, 556, 659, 638, 20557, 609, 4670, 2093, 649, 1185, 16618, 256, 7490, 8275, 602, 649, 616, 711, 14957, 782, 540, 891, 8874, 585, 1169, 2085, 540, 669, 559, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 4437, 7240, 1315, 4437, 7240, 23620, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 23586, 910, 4197, 15448, 538, 18321, 692, 8702, 547, 713, 1576, 1770, 1141, 649, 786, 2263, 835, 2460, 540, 4984, 1572, 7503, 256, 5620, 596, 2479, 4862, 540, 2576, 4657, 741, 4984, 286, 9320, 789, 941, 4535, 883, 835, 5132, 855, 8359, 547, 1246, 1776, 950, 789, 8057, 909, 269, 2334, 781, 1018, 649, 1289, 7503, 1107, 621, 1797, 15175, 689, 835, 1305, 540, 4978, 267, 2853, 267, 543, 2418, 630, 320, 4984, 264, 547, 1776, 269, 2913, 781, 4685, 4514, 883, 1620, 1946, 1004, 6460, 543, 875, 621, 12211, 547, 3127, 781, 2189, 5133, 593, 16712, 1143, 780, 3963, 798, 4658, 22417, 888, 10900, 692, 5331, 2348, 2828, 689, 1585, 2686, 10080, 945, 8661, 1114, 14812, 267, 3548, 8949, 3536, 267, 543, 2671, 4241, 2984, 827, 741, 5389, 269, 6884, 267, 891, 3604, 1522, 8141, 7279, 1369, 721, 267, 1818, 721, 4898, 952, 649, 1223, 849, 581, 513, 851, 540, 1346, 16873, 543, 5389, 269, 901, 2631, 540, 7279, 543, 22906, 1419, 5012, 930, 2043, 547, 1451, 811, 827, 824, 10764, 267, 5555, 14045, 547, 9772, 873, 607, 741, 1378, 780, 10144, 949, 3442, 547, 6460, 1813, 547, 1896, 4128, 267, 1519, 1384, 272, 269, 2878, 23114, 5289, 3460, 5093, 2368, 2043, 3343, 4267, 547, 2620, 10952, 2055, 827, 1272, 267, 2669, 267, 543, 3483, 269, 4256, 3406, 3006, 5012, 873, 547, 3605, 1007, 10752, 543, 5380, 602, 13469, 609, 873, 811, 982, 741, 1699, 3661, 1062, 563, 273, 269, 2878, 9824, 725, 4721, 543, 2950, 5093, 12096, 532, 538, 2648, 609, 2576, 689, 1776, 5132, 610, 16462, 547, 4866, 547, 513, 1880, 1514, 5858, 1522, 5000, 606, 1367, 547, 2015, 14291, 547, 1732, 1921, 609, 741, 6068, 3283, 610, 2146, 2818, 563, 274, 269, 2878, 12892, 5126, 543, 7862, 5093, 15742, 10764, 1747, 3152, 8561, 593, 2152, 899, 6710, 10970, 2747, 267, 4008, 9698, 267, 610, 2825, 6940, 269, 15706, 13730, 827, 891, 3123, 1522, 1265, 2933, 26936, 609, 513, 1808, 5132, 602, 23594, 2147, 16431, 780, 1692, 1281, 1530, 4788, 1143, 3514, 538, 888, 10900, 13430, 1103, 2477, 899, 3127, 267, 16712, 1143, 4249, 513, 1713, 1909, 538, 5935, 875, 24740, 616, 9228, 543, 7307, 269, 9521, 519, 5375, 2070, 799, 24508, 4984, 689, 2229, 12602, 267, 3127, 781, 834, 294, 16905, 9539, 12317, 745, 257, 16712, 1143, 6212, 593, 4509, 29591, 1851, 782, 5132, 338, 1247, 18245, 1142, 12504, 781, 1318, 547, 2259, 741, 6074, 4984, 11884, 780, 4131, 781, 1589, 827, 513, 4928, 4259, 607, 606, 1383, 269, 5994, 707, 4116, 5849, 3025, 814, 3160, 3255, 547, 2769, 741, 8369, 267, 7488, 540, 2436, 789, 2097, 689, 513, 9699, 267, 7332, 267, 4168, 267, 27566, 267, 14418, 267, 27454, 267, 610, 1022, 824, 4282, 269, 2659, 4116, 3788, 31717, 2509, 1169, 2875, 781, 5132, 2245, 2943, 7512, 8994, 2463, 543, 1620, 269, 6684, 267, 519, 4095, 2229, 6663, 547, 3895, 9322, 543, 10103, 10838, 922, 3309, 2551, 998, 4507, 602, 1521, 782, 10764, 8449, 780, 4913, 267, 1317, 540, 3127, 781, 3638, 18371, 6561, 543, 1950, 3140, 2796, 267, 972, 723, 1044, 9840, 4478, 7503, 269, 2755, 930, 8044, 585, 2347, 5191, 540, 25903, 3850, 4896, 547, 1689, 741, 4984, 267, 1866, 5855, 827, 1761, 14226, 610, 7142, 24740, 269, 4475, 267, 4031, 3823, 24740, 4268, 2066, 1114, 2829, 538, 3127, 780, 18698, 4329, 454, 2411, 7042, 3086, 602, 649, 1174, 519, 9238, 540, 7503, 543, 922, 4276, 547, 4095, 16712, 1143, 267, 1577, 781, 5490, 4514, 883, 1483, 3734, 7653, 5473, 2242, 538, 5132, 269, 1284, 786, 4983, 2013, 2090, 267, 4497, 538, 15826, 5717, 267, 543, 5659, 3377, 4930, 547, 22962, 938, 7071, 540, 713, 10578, 25246, 540, 4984, 269, 1635, 3257, 865, 267, 649, 4126, 547, 6536, 10892, 267, 6568, 267, 543, 1930, 16490, 1145, 2509, 3309, 3661, 1949, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20376, 983, 1143, 538, 3127, 607, 19413, 543, 3026, 327, 745, 4718, 621, 568, 3982, 569, 1114, 689, 519, 5375, 2070, 540, 16712, 1143, 269, 634, 968, 294, 16905, 9539, 12317, 745, 892, 16712, 1143, 4025, 519, 2956, 540, 519, 1533, 779, 968, 928, 583, 337, 1275, 892, 1063, 3127, 779, 1082, 5132, 338, 563, 19328, 779, 7115, 968, 324, 1203, 1302, 3357, 607, 513, 1267, 540, 6837, 685, 1967, 538, 476, 3707, 277, 12836, 2223, 476, 543, 607, 513, 1267, 519, 28928, 3127, 22993, 606, 968, 728, 320, 892, 540, 513, 2797, 2146, 602, 729, 4547, 1927, 676, 2413, 18765, 971, 607, 1367, 2924, 267, 9111, 267, 543, 15114, 28000, 540, 3909, 610, 824, 12508, 540, 6803, 3961, 269, 476, 634, 6837, 5428, 17947, 513, 4528, 540, 18541, 602, 15469, 606, 8537, 543, 12683, 5075, 540, 519, 4095, 1533, 28000, 540, 3909, 610, 824, 9163, 563, 6097, 547, 2549, 691, 5984, 7354, 267, 519, 5072, 540, 4095, 16712, 1143, 666, 581, 14360, 1394, 547, 922, 1279, 543, 3309, 3818, 1922, 28216, 1686, 269, 476, 3127, 779, 11156, 14828, 922, 4961, 267, 1367, 607, 1134, 607, 1895, 2924, 269, 476, 1306, 971, 267, 3127, 779, 16712, 1143, 11148, 547, 11168, 519, 968, 928, 583, 337, 1275, 892, 540, 519, 1533, 538, 882, 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, 3519, 11437, 257, 607, 851, 540, 834, 32628, 1315, 18321, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3575, 6230, 548, 9272, 284, 334, 318, 3279, 32203, 259, 1817, 333, 266, 1817, 333, 269, 4752, 3553, 267, 1505, 8782, 325, 5217, 3052, 10397, 22779, 332, 1460, 269, 22238, 284, 271, 269, 6795, 267, 2539, 284, 273, 1341, 18057, 269, 4752, 3553, 910, 476, 278, 267, 5580, 284, 4366, 273, 1341, 18057, 269, 4752, 3553, 1341, 476, 274, 2676, 23251, 272, 269, 1706, 272, 284, 272, 269, 4391, 267, 1253, 272, 269, 1706, 273, 284, 7367, 269, 278, 267, 1253, 273, 269, 1706, 272, 284, 273, 269, 3066, 267, 1253, 273, 269, 1706, 273, 284, 6246, 269, 279, 994, 1012, 4347, 5435, 8228, 1599, 2982, 513, 15410, 540, 519, 2139, 1344, 454, 1012, 4347, 5435, 28321, 1599, 2982, 27008, 267, 6151, 7422, 267, 543, 519, 17223, 14778, 2676, 1012, 2059, 609, 513, 10828, 1519, 6059, 2418, 454, 1012, 1677, 23868, 10828, 454, 32046, 1299, 19321, 539, 676, 14642, 600, 340, 29142, 553, 1177, 4673, 630, 14140, 4067, 17106, 11333, 3820, 264, 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 ]
[ 269, 15887, 6798, 779, 269, 24583, 3000, 625, 607, 538, 1209, 542, 543, 536, 1695, 5378, 345, 341, 1695, 779, 269, 19097, 1235, 3494, 538, 2696, 543, 4906, 267, 1247, 519, 6014, 2146, 11099, 1152, 538, 454, 297, 12317, 990, 1695, 779, 654, 5893, 525, 3494, 602, 4906, 568, 2696, 1152, 1463, 5137, 602, 3388, 3116, 729, 2813, 676, 1797, 540, 2441, 267, 543, 519, 3355, 796, 817, 13554, 957, 540, 5137, 19918, 14439, 4906, 607, 2696, 968, 21671, 1917, 13516, 12312, 6100, 8614, 327, 990, 1695, 654, 5893, 525, 849, 3494, 602, 519, 23573, 568, 519, 1152, 2707, 540, 3661, 543, 4341, 540, 2932, 269, 1358, 0, 5194, 3364, 602, 2501, 883, 1404, 568, 1762, 1004, 711, 6616, 519, 3017, 1063, 2648, 543, 561, 755, 267, 561, 755, 568, 723, 513, 1360, 2178, 4638, 7287, 585, 2576, 2648, 568, 606, 7920, 4743, 540, 2620, 15754, 585, 2576, 269, 4658, 12161, 561, 755, 585, 2648, 1932, 1419, 267, 1775, 1589, 621, 568, 2653, 547, 6952, 952, 2576, 568, 4743, 2648, 2509, 596, 610, 952, 621, 568, 561, 755, 676, 741, 3527, 269, 31701, 17165, 568, 513, 2462, 9594, 585, 1004, 547, 1616, 454, 7922, 553, 10548, 790, 345, 2296, 476, 9873, 273, 11427, 269, 19537, 651, 268, 24171, 5988, 476, 276, 267, 476, 1001, 277, 589, 6153, 2494, 568, 10434, 547, 4855, 1548, 568, 519, 4214, 540, 1434, 286, 634, 8675, 11225, 621, 607, 25432, 5140, 267, 4075, 6681, 267, 22233, 267, 543, 533, 1190, 269, 769, 968, 288, 1434, 812, 568, 2182, 547, 1265, 5608, 4414, 27385, 267, 519, 8227, 540, 513, 29851, 304, 13962, 1572, 634, 18975, 3081, 267, 968, 31819, 568, 3478, 15265, 269, 594, 3314, 519, 1554, 596, 1223, 979, 1055, 543, 4734, 707, 5496, 7450, 796, 26245, 3481, 269, 3502, 1100, 811, 1848, 630, 6246, 264, 769, 4469, 534, 1676, 344, 744, 685, 3519, 24335, 779, 968, 288, 6153, 2494, 1772, 10434, 1677, 4855, 5608, 744, 685, 3519, 24335, 20475, 519, 21792, 4214, 540, 513, 1434, 812, 563, 10955, 3534, 3096, 782, 28375, 1896, 2053, 2429, 519, 6648, 269, 2368, 1806, 540, 713, 568, 950, 1352, 11339, 968, 21953, 1082, 513, 812, 568, 1818, 2828, 609, 2669, 892, 630, 278, 264, 610, 968, 10214, 607, 594, 3717, 267, 585, 3668, 540, 2648, 4805, 1848, 630, 279, 1040, 2353, 28375, 568, 849, 1271, 538, 9446, 532, 519, 6249, 1317, 3798, 3534, 3096, 519, 1034, 782, 28375, 1282, 519, 1689, 540, 1018, 2648, 568, 711, 8957, 1018, 2648, 568, 1818, 519, 6249, 543, 519, 1689, 811, 6654, 269, 3798, 3534, 3096, 1896, 19621, 2553, 585, 1082, 1114, 4128, 607, 1134, 607, 835, 1292, 2601, 540, 9446, 532, 519, 6249, 269, 9453, 891, 19621, 2553, 3798, 3534, 1131, 711, 723, 1044, 2111, 547, 9446, 1200, 6249, 607, 1134, 607, 1352, 1705, 538, 968, 27094, 568, 711, 782, 9731, 7437, 2542, 519, 4773, 968, 7069, 5067, 568, 22985, 892, 543, 968, 296, 899, 547, 5957, 32293, 892, 543, 25909, 595, 1195, 1774, 649, 1294, 875, 23998, 9859, 2509, 1453, 585, 1175, 1373, 2933, 1419, 24115, 2471, 1453, 689, 3695, 741, 4008, 269, 769, 1931, 547, 13104, 630, 663, 1489, 264, 1453, 689, 2942, 10385, 531, 4555, 789, 991, 513, 2178, 15366, 4137, 269, 5637, 4425, 334, 543, 14731, 1995, 454, 295, 1177, 25079, 779, 1603, 2511, 2488, 3988, 609, 513, 811, 12667, 543, 10477, 2542, 1995, 602, 23248, 24864, 873, 547, 581, 811, 7722, 538, 1018, 789, 616, 2542, 269, 769, 2348, 547, 1232, 1712, 519, 5354, 540, 519, 3209, 267, 621, 3762, 513, 12357, 543, 1930, 1198, 593, 519, 3003, 1433, 269, 2060, 782, 713, 538, 2247, 267, 621, 568, 1271, 547, 5431, 8316, 25079, 779, 11029, 946, 540, 21055, 3457, 899, 782, 28375, 971, 607, 968, 3405, 3072, 267, 6126, 267, 543, 13533, 540, 1200, 3993, 892, 630, 295, 1177, 25079, 267, 476, 11740, 264, 538, 1010, 1603, 269, 590, 2775, 23937, 971, 607, 713, 24996, 909, 1010, 3335, 16625, 1893, 543, 8445, 1719, 593, 3988, 676, 5329, 873, 593, 741, 19462, 269, 769, 2348, 782, 519, 1983, 547, 2099, 519, 14334, 543, 5898, 538, 1272, 538, 7415, 2081, 267, 8316, 25079, 3096, 16105, 538, 634, 25753, 2280, 14594, 547, 2087, 543, 3986, 519, 2949, 2298, 540, 1010, 454, 305, 558, 766, 2501, 538, 782, 1114, 3029, 543, 7306, 267, 543, 2836, 6975, 17358, 602, 2059, 609, 891, 1352, 25370, 2738, 1946, 1004, 2887, 538, 543, 856, 540, 2648, 269, 12096, 532, 538, 2648, 814, 513, 2631, 540, 13438, 602, 3340, 2921, 4220, 602, 1004, 616, 968, 342, 3739, 547, 3111, 267, 1315, 1946, 649, 786, 1869, 1577, 6000, 2887, 538, 2648, 2223, 538, 1931, 547, 2844, 1483, 2648, 269, 2836, 6975, 7475, 1200, 6648, 609, 17609, 519, 32741, 609, 1200, 9393, 543, 642, 3298, 267, 968, 3104, 532, 4986, 824, 982, 1496, 26132, 316, 2648, 892, 1317, 602, 568, 782, 602, 6927, 547, 1200, 454, 27094, 666, 1419, 2014, 1360, 2182, 4606, 269, 901, 568, 3020, 538, 10748, 516, 7083, 324, 781, 6648, 834, 21430, 11146, 1677, 22493, 1701, 769, 713, 6648, 1352, 20475, 602, 952, 596, 3112, 7753, 930, 12194, 538, 5020, 596, 666, 1405, 1118, 2648, 547, 513, 834, 935, 4740, 257, 2701, 568, 865, 13730, 827, 875, 1352, 7959, 267, 1352, 1256, 3081, 952, 596, 4250, 2479, 4742, 19987, 610, 561, 731, 596, 3112, 1118, 2648, 547, 6405, 269, 7083, 324, 781, 2856, 14121, 22351, 602, 596, 723, 547, 7753, 4250, 538, 1931, 547, 2648, 568, 1655, 28078, 998, 1200, 946, 540, 17279, 267, 1138, 850, 267, 543, 8289, 269, 634, 2278, 781, 946, 540, 1138, 850, 524, 913, 903, 519, 2856, 602, 596, 723, 547, 7753, 4250, 538, 1931, 547, 11146, 563, 27094, 568, 711, 606, 1843, 855, 30608, 7553, 4061, 621, 666, 711, 581, 11751, 269, 5015, 267, 646, 729, 18930, 539, 609, 519, 2856, 540, 2348, 513, 24158, 865, 1454, 602, 646, 3587, 3196, 995, 593, 1200, 2648, 267, 855, 19162, 711, 1182, 602, 543, 3081, 968, 296, 9327, 1412, 339, 2307, 1932, 1454, 540, 1200, 2437, 1261, 24864, 1200, 883, 21334, 532, 547, 8751, 827, 519, 26035, 267, 855, 602, 1281, 711, 979, 607, 9709, 855, 1317, 646, 568, 865, 18930, 539, 609, 2348, 30751, 646, 1281, 711, 8275, 30751, 779, 3020, 4664, 2394, 1010, 2063, 7362, 269, 634, 2648, 540, 20289, 543, 30751, 729, 835, 521, 3660, 1247, 1352, 6068, 1010, 18710, 646, 729, 1932, 9420, 547, 1294, 602, 519, 2648, 568, 1152, 606, 454, 27094, 543, 10362, 2115, 616, 1419, 15763, 267, 855, 18562, 267, 1271, 269, 898, 568, 2556, 602, 1004, 1745, 6068, 267, 4941, 267, 543, 2877, 269, 10705, 2053, 267, 1004, 949, 1589, 789, 616, 538, 2648, 609, 1142, 824, 950, 789, 616, 538, 2648, 609, 2648, 3294, 269, 4256, 2115, 616, 711, 1558, 267, 865, 789, 1711, 519, 2856, 540, 2648, 547, 18609, 2933, 741, 2115, 616, 1558, 269, 901, 1523, 568, 1459, 538, 835, 540, 519, 1034, 4583, 4773, 540, 3332, 267, 12077, 19151, 543, 19201, 563, 23562, 559, 697, 3126, 723, 1044, 1031, 547, 3337, 519, 11994, 540, 22228, 2792, 543, 9547, 607, 1134, 607, 10182, 2509, 11509, 2078, 269, 769, 1931, 547, 2226, 543, 1020, 11509, 2648, 2792, 2994, 11129, 547, 581, 9916, 543, 4553, 676, 519, 15185, 269, 634, 7242, 538, 3828, 559, 697, 814, 4843, 11509, 2648, 1498, 26704, 855, 4992, 10858, 543, 10853, 269, 4475, 267, 621, 568, 2653, 585, 519, 3988, 547, 1451, 689, 519, 2984, 543, 3035, 3384, 3347, 543, 15832, 269, 589, 2442, 2528, 568, 2141, 22309, 585, 2679, 26867, 6788, 593, 519, 11509, 3347, 602, 1106, 4337, 5209, 540, 9547, 543, 8456, 538, 2792, 3347, 269, 0, 9213, 649, 616, 2469, 547, 1382, 519, 2497, 543, 3483, 540, 544, 30769, 543, 2978, 10455, 514, 2195, 563, 2171, 786, 2015, 1018, 2326, 649, 1589, 513, 28618, 1223, 581, 1500, 689, 563, 1432, 1919, 596, 1522, 991, 547, 2015, 950, 1818, 513, 28618, 540, 707, 1378, 563, 9213, 707, 4305, 568, 547, 8495, 544, 30769, 563, 2710, 596, 1265, 873, 2653, 888, 2710, 596, 1265, 873, 2182, 888, 1432, 941, 519, 2591, 888, 2710, 596, 1589, 621, 1131, 581, 2653, 547, 1205, 4503, 538, 873, 888, 2691, 596, 723, 8737, 596, 1522, 899, 547, 2347, 513, 28618, 1210, 519, 3095, 2630, 269, 0, 763, 966, 2320, 908, 24897, 568, 1572, 9764, 31954, 5496, 1317, 540, 922, 3350, 18330, 2147, 547, 513, 5858, 563, 290, 821, 8302, 568, 519, 3684, 602, 568, 1500, 909, 540, 1079, 25862, 269, 595, 821, 8302, 568, 5078, 547, 24807, 5420, 3620, 731, 1145, 610, 9875, 22714, 543, 7725, 563, 305, 565, 2401, 8302, 568, 1031, 585, 21432, 11493, 610, 24596, 11493, 269, 3911, 26743, 5066, 8302, 568, 4922, 1031, 585, 6080, 540, 7626, 19459, 267, 3114, 4702, 267, 9160, 267, 18195, 800, 1570, 267, 8860, 1570, 543, 2679, 1570, 267, 3092, 563, 306, 2869, 531, 29976, 267, 607, 835, 540, 519, 1271, 6191, 585, 7626, 19459, 267, 5161, 540, 6771, 267, 18700, 267, 9240, 913, 267, 30981, 267, 12946, 17382, 543, 7626, 17579, 532, 11896, 563, 25842, 8302, 3684, 267, 1373, 1007, 543, 1164, 18026, 267, 568, 513, 2186, 540, 5070, 20536, 269, 898, 568, 5631, 1031, 585, 11493, 5420, 3620, 731, 1145, 2326, 543, 5356, 1434, 521, 1343, 585, 6080, 899, 16749, 267, 4155, 267, 1216, 11122, 3599, 267, 19633, 267, 5656, 267, 9160, 543, 12669, 21395, 267, 3092, 563, 763, 3818, 268, 1097, 331, 5407, 17453, 13409, 8302, 568, 513, 2027, 3937, 585, 2182, 4224, 11493, 563, 295, 600, 1067, 8302, 267, 849, 1572, 17200, 1984, 8302, 267, 568, 835, 540, 519, 2101, 24596, 19854, 585, 28221, 2326, 538, 12669, 21395, 267, 2679, 1570, 267, 3114, 4702, 543, 19558, 1077, 899, 14680, 610, 5755, 267, 3092, 563, 8967, 21789, 4401, 536, 686, 21103, 1154, 3684, 568, 849, 1572, 26703, 4401, 536, 686, 638, 8291, 3684, 269, 898, 666, 581, 9286, 883, 7299, 1826, 543, 8880, 1826, 563, 289, 686, 638, 8291, 3684, 568, 849, 1572, 536, 686, 21103, 1154, 2046, 3684, 267, 536, 686, 21103, 1154, 3684, 610, 2604, 3440, 3684, 563, 297, 1177, 8302, 3684, 267, 849, 3957, 10265, 8302, 585, 2110, 267, 568, 519, 9998, 8302, 563, 763, 5755, 536, 686, 21103, 1154, 3684, 568, 1031, 547, 2046, 2326, 609, 2370, 1216, 1543, 1519, 5755, 267, 7777, 8869, 543, 18195, 800, 2339, 563, 30761, 1984, 568, 519, 1883, 3684, 547, 20836, 519, 16760, 2326, 269, 11831, 1984, 3684, 568, 4922, 1031, 547, 1184, 9160, 267, 3623, 6510, 1587, 267, 2679, 1570, 267, 18195, 800, 1570, 267, 13226, 267, 23907, 543, 4837, 267, 3092, 563, 1805, 821, 11493, 2030, 5631, 5161, 540, 31954, 28680, 267, 10265, 19783, 267, 1764, 8302, 267, 31954, 5496, 267, 12966, 23740, 267, 21438, 5907, 1852, 3334, 267, 543, 519, 2966, 2504, 4390, 568, 476, 2004, 268, 8517, 339, 10774, 563, 306, 663, 1818, 2030, 568, 513, 2186, 540, 2027, 3937, 585, 6721, 2679, 5070, 543, 6149, 563, 325, 1774, 1007, 6419, 3021, 1807, 2030, 814, 5383, 540, 1164, 4398, 267, 1970, 1648, 267, 1164, 4390, 543, 865, 593, 563, 6124, 3819, 3491, 947, 9160, 2030, 568, 7768, 540, 6151, 2326, 11493, 3937, 267, 8860, 3937, 267, 9160, 8860, 3937, 267, 9160, 27414, 29137, 543, 824, 3937, 563, 3863, 1984, 513, 576, 14585, 529, 5033, 523, 538, 2802, 11340, 807, 6151, 1984, 513, 576, 14585, 529, 5033, 523, 538, 2802, 11340, 807, 269, 943, 15245, 1019, 5033, 523, 1984, 627, 337, 12182, 590, 792, 2583, 16353, 9197, 5241, 7233, 25416, 7085, 6732, 13693, 566, 5192, 811, 9623, 540, 21958, 5070, 5599, 1184, 5131, 10004, 943, 15245, 538, 9160, 1984, 627, 337, 943, 15245, 538, 9160, 1984, 627, 337, 330, 1177, 30245, 3653, 3002, 6051, 1379, 5108, 585, 9160, 269, 1984, 5033, 523, 737, 2632, 571, 19241, 528, 2182, 325, 5217, 9093, 12174, 2017, 16988, 829, 531, 27979, 269, 2010, 540, 6151, 1984, 561, 10719, 8860, 1984, 19580, 269, 6151, 1984, 3349, 13274, 619, 2182, 325, 5217, 533, 696, 561, 758, 14515, 1770, 15492, 533, 629, 20891, 5033, 523, 1979, 11535, 533, 629, 20891, 5033, 523, 1984, 5033, 523, 8860, 1984, 269, 681, 514, 857, 534, 561, 664, 5500, 320, 693, 879, 536, 656, 10224, 269, 13565, 24762, 907, 3440, 1984, 31065, 13005, 518, 1695, 4050, 322, 4115, 8302, 986, 28702, 1019, 269, 1187, 7714, 328, 546, 926, 6151, 1984, 533, 3385, 533, 629, 20891, 5033, 523, 269, 6149, 8302, 3684, 689 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6092, 5149, 281, 3474, 534, 5436, 661, 549, 6776, 10374, 12267, 692, 22706, 5426, 281, 5664, 3427, 692, 7072, 912, 5970, 596, 2479, 16545, 1018, 621, 1131, 581, 899, 547, 723, 2706, 335, 10183, 610, 1995, 1945, 824, 16447, 569, 286, 5620, 596, 2479, 9289, 827, 2648, 543, 16007, 538, 28531, 5468, 286, 1403, 865, 267, 1287, 596, 1522, 2972, 2542, 31510, 5436, 2144, 5328, 2110, 2984, 256, 1452, 616, 8941, 602, 9192, 2609, 540, 519, 9490, 543, 8966, 609, 4798, 540, 15832, 543, 6612, 269, 901, 1576, 786, 6338, 596, 547, 519, 9135, 267, 922, 1686, 267, 2442, 21050, 525, 267, 543, 875, 547, 5659, 891, 2010, 540, 5931, 9691, 269, 1284, 3513, 2263, 1585, 24848, 637, 1369, 31510, 5436, 2144, 582, 3821, 1247, 5329, 1919, 2085, 29003, 543, 16614, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 786, 1732, 1174, 1650, 3889, 267, 1915, 1646, 267, 1158, 20671, 267, 543, 5339, 3457, 1031, 538, 5708, 269, 1924, 1577, 781, 4685, 883, 519, 4241, 7706, 540, 31510, 5436, 2144, 5328, 2110, 2984, 2439, 4089, 476, 272, 281, 4197, 3474, 534, 5436, 661, 8527, 3821, 692, 13640, 534, 5436, 2144, 582, 3821, 568, 513, 1826, 540, 5708, 602, 10905, 2609, 540, 519, 31510, 5436, 610, 16750, 609, 11509, 543, 13730, 10207, 269, 6056, 30632, 2231, 267, 3337, 6879, 604, 1562, 267, 15293, 338, 267, 26734, 267, 543, 811, 1107, 782, 7680, 2648, 543, 7287, 3564, 1480, 1620, 269, 2755, 930, 2984, 949, 2270, 9921, 4798, 543, 3871, 267, 789, 849, 2709, 9159, 6386, 1305, 538, 19511, 10600, 1141, 4376, 568, 2009, 780, 7078, 281, 5994, 513, 1158, 1141, 3425, 30598, 609, 544, 1069, 320, 1749, 945, 4865, 22539, 9739, 5827, 540, 1818, 4896, 2887, 7184, 538, 2648, 269, 589, 27503, 2078, 1063, 513, 1762, 812, 543, 513, 30811, 544, 1069, 4660, 4652, 9529, 267, 3695, 741, 2189, 4276, 5103, 741, 3604, 780, 4089, 476, 273, 281, 3778, 540, 3474, 534, 5436, 661, 8527, 3821, 692, 763, 5072, 540, 31510, 5436, 2144, 582, 3821, 12701, 1394, 5553, 267, 5373, 6667, 689, 18691, 267, 13299, 267, 543, 575, 15402, 3332, 269, 7073, 31510, 5436, 2144, 582, 3821, 6591, 8560, 1282, 519, 3735, 476, 736, 628, 2540, 1813, 547, 9565, 4589, 543, 3126, 971, 607, 14732, 19676, 781, 834, 309, 2086, 790, 20048, 2873, 1701, 4653, 267, 3059, 5867, 1683, 2653, 1569, 547, 9118, 2984, 13267, 547, 3309, 4690, 780, 12244, 281, 3194, 1114, 3140, 5712, 543, 2686, 5389, 2404, 609, 31510, 5436, 7919, 630, 324, 3052, 1421, 5259, 10971, 267, 25245, 23766, 1040, 9181, 707, 4681, 609, 15032, 543, 2697, 1455, 8017, 2066, 4529, 780, 4089, 476, 274, 281, 15019, 570, 1886, 525, 538, 3474, 534, 5436, 661, 8527, 3821, 692, 26807, 18596, 18305, 2408, 4749, 538, 31510, 5436, 2144, 582, 3821, 267, 1519, 1384, 265, 1280, 321, 5200, 11146, 281, 1879, 1079, 3197, 689, 1114, 2249, 267, 1514, 5049, 267, 610, 1249, 687, 1265, 2933, 6537, 1927, 5103, 6848, 8155, 543, 6788, 563, 265, 26306, 281, 16992, 10929, 2168, 2242, 799, 1419, 1291, 547, 7096, 2123, 2208, 543, 1582, 22523, 563, 265, 5295, 18868, 281, 10289, 3347, 1141, 835, 7649, 814, 9058, 5759, 3379, 547, 1776, 267, 3056, 547, 1950, 6384, 1063, 873, 780, 30206, 281, 9523, 707, 5172, 7260, 267, 7641, 1397, 267, 610, 1433, 10023, 1022, 540, 891, 21050, 525, 269, 1215, 798, 15888, 946, 891, 2609, 547, 1628, 8082, 543, 4497, 9458, 2496, 4089, 476, 275, 281, 22718, 3474, 534, 5436, 661, 8527, 3821, 692, 2414, 1831, 2565, 3988, 540, 31510, 5436, 2144, 582, 3821, 267, 2015, 891, 3344, 1384, 265, 10886, 1436, 281, 3657, 519, 23233, 1134, 31465, 267, 11541, 267, 543, 5812, 2429, 519, 1650, 888, 265, 17553, 281, 6496, 519, 2278, 1711, 513, 12667, 543, 15138, 1604, 585, 519, 4729, 547, 11200, 888, 265, 18366, 281, 1772, 972, 2614, 24457, 610, 9465, 12042, 1359, 519, 3197, 262, 3853, 888, 265, 27484, 281, 1548, 5817, 6835, 1281, 519, 1650, 6655, 3823, 2648, 267, 14920, 267, 3961, 267, 3092, 269, 2496, 12244, 281, 7994, 513, 6429, 689, 513, 31510, 5436, 2144, 5328, 1650, 543, 2736, 1524, 922, 3334, 1210, 519, 7355, 7396, 1657, 269, 10558, 707, 2079, 547, 519, 1362, 543, 5000, 5955, 780, 6962, 912, 9961, 713, 1576, 1770, 267, 649, 4312, 8268, 519, 10578, 1158, 540, 31510, 5436, 2144, 5328, 2110, 2984, 269, 1411, 1631, 723, 513, 4396, 5748, 547, 5660, 519, 5876, 267, 6988, 267, 543, 9029, 540, 713, 9135, 269, 1306, 596, 3136, 707, 3460, 607, 513, 5467, 267, 3314, 519, 1983, 4121, 1934, 547, 15052, 707, 6278, 609, 1585, 11964, 543, 3029, 540, 3332, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3086, 676, 595, 1815, 23158, 18000, 454, 5575, 3370, 538, 519, 16320, 1108, 968, 14106, 1356, 320, 892, 630, 309, 523, 639, 610, 966, 1460, 523, 4964, 267, 476, 1220, 271, 994, 15648, 9736, 476, 1220, 271, 676, 595, 1815, 23158, 18000, 454, 3086, 594, 6557, 8380, 1250, 3946, 5196, 590, 6387, 779, 17525, 267, 521, 5585, 3905, 609, 17570, 267, 835, 12597, 23510, 2250, 1010, 25427, 607, 594, 18214, 5196, 519, 14541, 269, 3767, 594, 6557, 3843, 711, 547, 1413, 883, 1010, 4064, 1317, 594, 1810, 1406, 917, 952, 649, 3580, 1439, 909, 1927, 269, 594, 666, 1745, 519, 9133, 540, 1010, 15483, 593, 1250, 6418, 25427, 607, 594, 7227, 585, 519, 11350, 547, 8258, 269, 3767, 568, 519, 4090, 594, 723, 31372, 585, 782, 1554, 267, 950, 713, 21183, 30226, 518, 1131, 581, 21736, 896, 803, 269, 3767, 594, 695, 644, 1457, 538, 24736, 563, 23562, 4868, 3764, 3516, 649, 941, 10760, 267, 9817, 4881, 3905, 538, 519, 20893, 5394, 5790, 267, 1142, 540, 721, 726, 28289, 538, 9395, 547, 938, 6191, 267, 689, 3946, 547, 12058, 267, 31840, 31300, 532, 721, 998, 519, 6607, 267, 607, 3728, 607, 2219, 269, 594, 1223, 1745, 519, 1216, 8673, 8728, 540, 12269, 27054, 3429, 1996, 1250, 7916, 270, 3240, 12209, 269, 594, 6785, 594, 729, 711, 2731, 15700, 519, 15655, 13463, 8283, 2011, 267, 855, 519, 8596, 960, 269, 594, 729, 726, 28289, 538, 543, 711, 5094, 689, 1250, 3684, 269, 898, 729, 607, 952, 594, 798, 557, 998, 519, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13640, 534, 5436, 661, 549, 6776, 10374, 12267, 257, 607, 851, 540, 834, 11227, 1315, 661, 8527, 3821, 1315, 26888, 1299, 16262, 3098, 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, 2026, 596, 6330, 707, 1007, 10450, 267, 649, 1174, 602, 14577, 547, 14542, 9821, 543, 4664, 666, 581, 11566, 269, 2334, 781, 1946, 649, 4312, 2813, 713, 3102, 3391, 547, 948, 596, 1745, 4190, 267, 1256, 950, 596, 1810, 1405, 1589, 596, 1413, 621, 780, 1262, 3721, 476, 272, 281, 13760, 1548, 25925, 31283, 630, 1729, 18972, 21143, 6826, 2246, 344, 568, 513, 1950, 1523, 602, 9775, 689, 1268, 547, 1268, 269, 1677, 3425, 267, 5898, 13315, 811, 982, 1175, 2168, 5920, 282, 621, 2882, 7209, 7592, 267, 6015, 267, 11587, 267, 543, 1582, 14092, 1061, 766, 269, 6056, 540, 621, 899, 513, 8949, 11600, 609, 1082, 5820, 1107, 1247, 5654, 616, 835, 12146, 267, 789, 5749, 1405, 519, 1152, 3815, 602, 2306, 2576, 4190, 780, 4002, 3047, 267, 1004, 1419, 12314, 5898, 609, 7907, 899, 1384, 265, 30151, 281, 28214, 6899, 538, 835, 781, 1378, 2960, 454, 265, 9877, 1145, 281, 6164, 532, 1866, 609, 8296, 543, 6568, 454, 265, 24956, 30008, 281, 9861, 3020, 547, 13951, 1510, 5910, 5151, 454, 265, 8682, 13282, 281, 14171, 1416, 540, 835, 781, 2790, 267, 3929, 267, 543, 2168, 1134, 5630, 692, 4322, 3344, 3565, 547, 1018, 3425, 2015, 4190, 269, 3767, 267, 1577, 781, 2263, 875, 547, 11349, 891, 7907, 2439, 1262, 3721, 476, 273, 281, 5192, 19361, 609, 2659, 10610, 5678, 4373, 24109, 753, 5968, 1875, 14620, 958, 998, 1560, 1893, 267, 799, 15920, 11029, 6835, 547, 1346, 1472, 873, 269, 6657, 891, 2241, 11941, 547, 6655, 6015, 543, 25273, 1384, 265, 2878, 8070, 675, 5093, 5776, 909, 2786, 610, 1694, 7381, 609, 17525, 17159, 269, 5994, 513, 5569, 17444, 707, 2212, 2509, 519, 18109, 563, 265, 2878, 292, 6614, 13555, 5093, 28528, 22401, 693, 1004, 1282, 7391, 267, 855, 2057, 31325, 26490, 1947, 269, 13667, 585, 5618, 8090, 540, 3750, 3346, 4553, 676, 9543, 9397, 563, 265, 2878, 10712, 850, 5093, 4354, 557, 707, 17534, 20733, 5594, 267, 6029, 9758, 8788, 269, 3680, 7142, 1159, 3796, 267, 607, 789, 949, 2097, 2066, 1202, 1550, 516, 563, 265, 2878, 21652, 30123, 999, 5093, 2422, 1930, 267, 9350, 5322, 3079, 540, 535, 573, 1326, 532, 610, 15385, 7916, 269, 901, 786, 1118, 596, 2408, 811, 3839, 543, 8746, 780, 8855, 267, 2259, 2306, 3501, 256, 15331, 609, 1114, 2022, 999, 267, 11132, 7215, 267, 543, 17267, 538, 4395, 540, 513, 11604, 547, 1831, 811, 6899, 609, 707, 1007, 15629, 10291, 780, 1262, 3721, 476, 274, 281, 22737, 2659, 23433, 17972, 4373, 9336, 1367, 814, 3982, 4162, 602, 1305, 873, 6306, 269, 5502, 540, 2519, 593, 9228, 20924, 267, 8661, 707, 2189, 2934, 256, 1452, 1522, 1331, 1384, 265, 1133, 639, 783, 4552, 9403, 610, 2681, 454, 265, 24761, 569, 11954, 4064, 454, 265, 17435, 1255, 610, 1954, 1188, 956, 454, 265, 589, 10058, 9224, 3337, 610, 10077, 692, 12648, 942, 547, 5660, 891, 10305, 676, 575, 5074, 693, 3054, 538, 513, 11604, 269, 10312, 593, 519, 2318, 3344, 2864, 982, 23029, 593, 20541, 687, 269, 19244, 14751, 725, 267, 971, 607, 1384, 19285, 2648, 1250, 1496, 684, 1664, 4183, 316, 1317, 621, 2306, 803, 2027, 4799, 257, 7069, 3604, 1118, 803, 1796, 856, 538, 513, 15624, 3010, 1607, 14820, 6521, 2337, 1628, 6015, 543, 10343, 267, 3850, 596, 547, 2234, 5573, 6418, 5898, 780, 1262, 3721, 476, 275, 281, 3763, 27919, 543, 3281, 6842, 4373, 30747, 1145, 568, 513, 4105, 2460, 540, 5898, 269, 4980, 10675, 6568, 676, 8380, 3054, 538, 824, 1004, 781, 10887, 1384, 265, 19415, 8362, 281, 9796, 3007, 547, 1866, 262, 2984, 543, 4145, 267, 6998, 1930, 25804, 2055, 547, 1397, 1719, 563, 265, 8058, 1620, 281, 31158, 1578, 1866, 262, 4606, 267, 4570, 908, 741, 2833, 1510, 10385, 563, 265, 20644, 1489, 281, 3629, 1913, 540, 19015, 610, 6351, 950, 2877, 780, 20797, 4351, 6411, 540, 11587, 3232, 267, 971, 607, 8066, 9885, 585, 21046, 610, 5356, 5360, 9323, 25442, 569, 269, 1452, 1507, 3527, 6536, 4296, 543, 6542, 707, 17519, 2470, 780, 1262, 3721, 476, 276, 281, 26875, 1125, 8682, 4211, 732, 4373, 21982, 1416, 540, 707, 2949, 1134, 5630, 8309, 3648, 547, 4743, 4190, 3330, 543, 856, 269, 5269, 942, 585, 2238, 602, 16138, 880, 707, 2247, 267, 2295, 267, 543, 1560, 1384, 265, 11644, 5781, 281, 18918, 538, 9793, 2168, 2534, 267, 899, 6972, 610, 15198, 267, 547, 5305, 1439, 6973, 1231, 543, 5818, 7099, 563, 265, 2405, 10028, 610, 6001, 281, 5590, 11735, 9602, 8090, 585, 2620, 7244, 5751, 267, 14839, 267, 610, 3274, 11981, 16563, 563, 265, 4045, 609, 6068, 3283, 281, 21480, 2834, 2638, 15564, 609, 2828, 543, 1920, 547, 2226, 2178, 7554, 563, 265, 1473, 592, 613, 538, 12348, 281, 623, 2720, 826, 3860, 18653, 610, 4690, 602, 3142, 7772, 543, 20106, 780, 3528, 26724, 1582, 13282, 267, 596, 3513, 1020, 513, 2631, 540, 3666, 543, 1543, 618, 267, 1818, 621, 4443, 547, 1445, 593, 4835, 5898, 780, 1262, 3721, 476, 277, 281, 4676, 9347, 20134, 32438, 4373, 2005, 781, 2067, 547, 1995, 2942, 4555, 12212, 269, 634, 1883, 568, 547, 5431, 543, 1201, 9347, 891, 3270, 1384, 265, 595, 2255, 2565, 3206, 281, 1879, 596, 5469, 10792, 1582, 2275, 761, 6291, 267, 23249, 543, 11760, 519, 2219, 563, 265, 7420, 2258, 18356, 281, 9105, 3054, 952, 972, 781, 2963, 5885, 519, 9880, 610, 952, 621, 781, 1759, 593, 32601, 6788, 563, 265, 29799, 609, 1064, 14476, 281, 22388, 716 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3486, 3818, 1606, 1636, 2680, 602, 3576, 1747, 538, 24611, 267, 11908, 267, 2136, 2276, 267, 689, 5147, 476, 866, 547, 4864, 476, 275, 267, 476, 1960, 277, 269, 589, 2594, 476, 3192, 6082, 267, 782, 1699, 594, 8016, 4759, 6082, 267, 3576, 851, 538, 519, 10632, 267, 16030, 476, 1015, 267, 28760, 9845, 269, 634, 4139, 16727, 9730, 20366, 538, 476, 2735, 277, 547, 5094, 519, 14400, 543, 15604, 10632, 267, 799, 1185, 1044, 4371, 538, 519, 1482, 1032, 2094, 476, 4572, 275, 267, 543, 1747, 873, 538, 20367, 1256, 5991, 3518, 1229, 1296, 267, 4098, 538, 476, 1960, 275, 269, 634, 476, 1960, 277, 14400, 10632, 941, 519, 1101, 547, 581, 588, 3042, 538, 513, 1114, 1032, 689, 519, 15604, 10632, 269, 24611, 2968, 519, 15795, 1977, 2749, 547, 3984, 519, 16727, 10632, 543, 519, 3791, 547, 3180, 513, 14400, 16727, 10632, 269, 898, 786, 2611, 519, 2063, 942, 519, 2136, 2276, 814, 18799, 519, 14400, 21396, 2394, 693, 2547, 476, 1708, 275, 563, 763, 21396, 723, 2799, 689, 513, 476, 5655, 3887, 1203, 6735, 609, 7864, 982, 476, 7742, 5256, 15712, 689, 476, 1691, 6082, 547, 513, 476, 4968, 3887, 1203, 23242, 11812, 609, 936, 476, 1015, 267, 1822, 15712, 689, 476, 13078, 6082, 269, 5029, 9088, 585, 519, 476, 1220, 279, 14400, 21396, 538, 19864, 4397, 5111, 476, 1015, 267, 4335, 15712, 547, 1491, 851, 538, 519, 476, 23714, 2621, 593, 519, 1982, 585, 519, 3756, 563, 763, 5542, 1184, 585, 519, 476, 5002, 279, 14400, 21396, 15538, 540, 2185, 536, 1749, 267, 543, 4718, 7507, 5697, 6619, 540, 5507, 267, 12670, 543, 30912, 269, 634, 5542, 729, 1500, 693, 519, 476, 277, 628, 594, 8016, 29140, 538, 5507, 538, 476, 5002, 275, 563, 2005, 6501, 8128, 941, 8600, 547, 3180, 519, 3756, 950, 6778, 26751, 12320, 3780, 30192, 593, 476, 278, 4989, 476, 5002, 277, 267, 14042, 519, 2749, 540, 10878, 1255, 269, 8750, 338, 941, 11651, 1540, 547, 519, 16646, 540, 10878, 1255, 267, 865, 513, 1007, 28379, 729, 2838, 269, 5507, 729, 5697, 585, 519, 1101, 942, 547, 3180, 519, 10632, 799, 941, 4371, 693, 6519, 4975, 7258, 519, 30473, 5174, 761, 880, 1401, 22128, 267, 693, 519, 942, 519, 811, 29810, 2680, 563, 763, 23242, 2470, 540, 519, 2680, 729, 7361, 31083, 611, 15735, 676, 519, 22540, 32003, 538, 799, 22221, 18303, 9845, 543, 19393, 543, 513, 4639, 4436, 7128, 11464, 941, 7166, 269, 12866, 4563, 5181, 24752, 9810, 1235, 5747, 563, 763, 476, 3192, 273, 14400, 21396, 941, 519, 2034, 14400, 21396, 547, 581, 4371, 538, 5125, 267, 1310, 519, 476, 4350, 277, 10632, 538, 12670, 267, 799, 1185, 3144, 1747, 896, 519, 13303, 12512, 269, 9650, 995, 540, 519, 4276, 267, 519, 4639, 4436, 6554, 729, 11235, 547, 1491, 519, 4316, 540, 519, 22540, 21396, 547, 1459, 513, 1007, 267, 11180, 543, 23904, 5125, 547, 519, 1158, 267, 607, 3254, 676, 519, 10632, 262, 4013, 2138, 1729, 267, 834, 291, 773, 1261, 527, 7967, 1975, 773, 548, 2580, 610, 834, 1492, 28292, 10632, 2668, 634, 20446, 540, 519, 10632, 729, 513, 4544, 3859, 20446, 630, 1492, 834, 289, 2431, 6129, 8442, 676, 17305, 331, 589, 545, 615, 267, 519, 14704, 543, 8689, 540, 519, 3308, 17748, 10243, 269, 634, 16727, 544, 2444, 582, 267, 519, 546, 778, 3333, 1495, 834, 310, 531, 10972, 2580, 729, 519, 1101, 13166, 3957, 16727, 544, 2444, 582, 269, 634, 16727, 27684, 11071, 729, 7768, 676, 29464, 1234, 327, 2041, 514, 267, 513, 13959, 540, 26450, 18087, 11391, 325, 1068, 269, 0, 19138, 593, 519, 9864, 10682, 540, 5386, 14919, 1210, 15632, 1547, 13202, 476, 276, 267, 476, 1001, 274, 1547, 27511, 2433, 910, 1473, 25934, 19460, 1793, 698, 282, 2706, 27415, 6500, 282, 735, 4809, 4222, 282, 1547, 4991, 922, 3337, 543, 1287, 4991, 2182, 2989, 998, 513, 1184, 1572, 269, 8114, 794, 19460, 1793, 698, 11493, 5650, 267, 4467, 11772, 633, 12752, 11657, 593, 11272, 20211, 513, 1473, 25934, 1547, 291, 17805, 593, 11272, 20211, 1299, 1473, 25934, 30166, 2167, 257, 568, 5767, 835, 538, 713, 3126, 1373, 3370, 676, 10371, 634, 1184, 2095, 5750, 6029, 1585, 1184, 3268, 1031, 538, 606, 11272, 20211, 30166, 864, 568, 2016, 269, 8431, 269, 476, 272, 10371, 634, 3328, 1793, 698, 5250, 689, 513, 3167, 9095, 19460, 568, 476, 1015, 268, 1428, 4939, 269, 10371, 2353, 1195, 2848, 1564, 585, 585, 3101, 2872, 543, 8860, 2923, 269, 8114, 794, 19460, 1793, 698, 11493, 5650, 267, 11947, 21252, 12182, 19045, 2677, 5285, 584, 1436, 676, 31514, 12071, 343, 1547, 14653, 1793, 698, 9657, 998, 513, 1184, 540, 8143, 3186, 745, 322, 268, 512, 542, 267, 4611, 538, 519, 10371, 4336, 1164, 4908, 15632, 19460, 538, 1931, 547, 1045, 525, 268, 512, 580, 622, 519, 1198, 540, 519, 563, 15648, 9736, 476, 1001, 280, 2298, 1547, 2353, 7126, 27616 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26102, 268, 277, 543, 26102, 268, 274, 616, 1898, 1317, 938, 1560, 3112, 3132, 873, 593, 922, 1378, 267, 799, 1797, 649, 991, 547, 1205, 873, 998, 938, 11326, 269, 1809, 1018, 4523, 952, 835, 3587, 811, 2442, 982, 519, 824, 538, 938, 6980, 286, 2334, 781, 1141, 1919, 1376, 3478, 4277, 2439, 1103, 1082, 2694, 540, 519, 1158, 267, 3226, 538, 519, 834, 310, 3480, 257, 2732, 267, 1004, 4043, 547, 8532, 1454, 811, 26102, 268, 277, 3379, 547, 26102, 268, 274, 269, 901, 19261, 814, 1044, 8345, 7930, 936, 942, 1813, 547, 1585, 4128, 971, 607, 2242, 538, 1426, 2504, 2409, 543, 7375, 269, 1924, 1946, 1281, 713, 2339, 286, 4270, 267, 3173, 3494, 602, 2348, 1932, 1454, 26102, 268, 277, 3448, 547, 26102, 268, 274, 1223, 1291, 547, 2042, 1524, 519, 4155, 267, 7700, 547, 2152, 899, 8377, 267, 3987, 267, 2295, 2068, 267, 543, 1256, 1978, 2010, 540, 2860, 269, 898, 4992, 17559, 267, 855, 1577, 803, 2491, 2417, 676, 10962, 596, 547, 938, 2706, 2828, 281, 3690, 28193, 631, 823, 2439, 9558, 28193, 8983, 616, 1360, 3579, 2370, 7068, 602, 3744, 946, 547, 1451, 1007, 1919, 827, 938, 4703, 543, 1072, 269, 1452, 8983, 941, 16887, 2966, 547, 1852, 519, 2179, 540, 26102, 268, 277, 543, 26102, 268, 274, 538, 741, 1949, 269, 2368, 2968, 4966, 693, 1818, 3063, 26102, 268, 277, 1247, 1866, 27058, 7432, 26102, 268, 277, 883, 26102, 268, 274, 3079, 269, 2060, 891, 9735, 5759, 267, 3173, 4767, 875, 1142, 1895, 540, 8983, 535, 1563, 3823, 741, 2949, 8171, 780, 763, 2164, 4951, 602, 8983, 945, 1500, 1932, 1454, 26102, 268, 277, 2919, 513, 2362, 4960, 540, 3478, 7210, 609, 10894, 4713, 630, 3697, 3987, 264, 543, 2860, 269, 2201, 519, 16212, 2427, 267, 8983, 602, 10736, 26102, 268, 277, 883, 26102, 268, 274, 18423, 3514, 614, 543, 8902, 269, 30474, 5863, 267, 26001, 2496, 3383, 1631, 596, 1522, 4898, 267, 834, 1432, 666, 594, 798, 547, 1832, 1250, 26102, 268, 277, 543, 26102, 268, 274, 7059, 8119, 4279, 2243, 256, 1677, 2226, 10103, 1063, 891, 1079, 9600, 267, 2119, 4189, 811, 3536, 5627, 26102, 268, 274, 267, 971, 607, 3165, 267, 10808, 267, 543, 5452, 269, 3958, 267, 1904, 585, 5986, 11041, 609, 1447, 26102, 268, 277, 267, 899, 14462, 610, 25636, 3282, 269, 5457, 267, 20208, 568, 1883, 950, 10438, 1022, 2186, 540, 3170, 780, 3528, 1620, 519, 1909, 540, 26102, 268, 277, 543, 26102, 268, 274, 9761, 7408, 538, 938, 4703, 267, 596, 4312, 3144, 513, 2462, 1900, 2509, 4742, 513, 5260, 11803, 552, 831, 256, 5901, 3695, 267, 6998, 2055, 267, 543, 1565, 827, 6484, 1107, 1310, 782, 267, 2921, 1416, 540, 6000, 6238, 609, 6616, 1018, 4422, 3330, 938, 4703, 269, 8414, 15165, 532, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2304, 796, 29446, 2333, 538, 8192, 15060, 268, 277, 630, 333, 268, 277, 264, 4874, 12584, 18260, 9761, 7408, 630, 303, 308, 11902, 264, 543, 6175, 538, 15060, 268, 274, 630, 333, 268, 274, 264, 29706, 11902, 538, 519, 5375, 2732, 14626, 1938, 609, 519, 2518, 4473, 538, 5312, 3676, 269, 6787, 562, 268, 277, 543, 562, 268, 274, 29706, 11902, 6587, 569, 3565, 547, 519, 1646, 540, 5312, 2068, 3788, 11786, 269, 1635, 1210, 1098, 28193, 8983, 5827, 540, 13754, 1944, 29706, 11902, 547, 9004, 1476, 15929, 2188, 540, 2732, 267, 649, 1397, 1934, 602, 27327, 540, 519, 5160, 562, 268, 277, 14672, 268, 274, 29706, 11902, 5223, 5012, 547, 17047, 2242, 538, 519, 8937, 22435, 543, 32740, 543, 16796, 31571, 269, 3690, 28193, 8983, 2111, 547, 936, 335, 28558, 562, 268, 277, 29706, 11902, 543, 3035, 513, 1164, 5160, 562, 268, 277, 14672, 268, 274, 29706, 11902, 5223, 8858, 606, 2799, 1981, 585, 10894, 3676, 543, 2860, 267, 6466, 8983, 2111, 547, 6460, 562, 268, 277, 547, 562, 268, 274, 29706, 11902, 267, 543, 602, 723, 513, 2539, 562, 268, 277, 14672, 268, 274, 5223, 267, 1397, 2635, 4307, 8040, 269, 3776, 1353, 9727, 602, 562, 268, 277, 29706, 11902, 949, 581, 5739, 538, 4430, 543, 5267, 519, 2956, 540, 513, 1970, 5160, 562, 268, 277, 14672, 268, 274, 5223, 538, 4227, 519, 1981, 585, 5312, 3676, 563, 32247, 10108, 267, 1519, 8377, 267, 512, 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, 6092, 5149, 281, 4197, 23942, 1234, 767, 725, 10801, 5384, 692, 7072, 912, 5970, 596, 2479, 9289, 875, 1004, 3357, 547, 3494, 538, 513, 2362, 1379, 286, 2107, 1946, 972, 616, 865, 1082, 10764, 609, 741, 1378, 1305, 540, 4978, 543, 2853, 286, 2290, 1259, 547, 1174, 713, 568, 998, 519, 1523, 540, 10143, 11240, 725, 269, 6056, 540, 10143, 11240, 725, 899, 6835, 689, 513, 10143, 1373, 267, 971, 607, 2696, 267, 2366, 547, 3425, 2429, 1686, 269, 1452, 6835, 1419, 2097, 609, 5583, 267, 3652, 267, 610, 10752, 827, 875, 547, 2661, 513, 1434, 1272, 269, 3683, 942, 267, 891, 6835, 723, 1044, 6394, 543, 5293, 1524, 267, 8108, 519, 4493, 540, 1585, 3909, 5389, 269, 2913, 781, 2263, 930, 1883, 2035, 1644, 547, 10143, 11240, 725, 2439, 4089, 476, 272, 281, 1548, 3657, 23942, 1234, 767, 725, 888, 19667, 710, 11240, 725, 666, 1491, 1082, 3029, 1765, 323, 3195, 338, 267, 22649, 267, 9739, 267, 610, 1256, 2067, 9259, 899, 19711, 28323, 269, 1879, 2043, 1995, 891, 9058, 20825, 267, 789, 949, 4612, 873, 607, 10618, 689, 513, 10143, 2707, 269, 4658, 945, 4309, 891, 6835, 616, 1572, 28556, 269, 11330, 515, 1206, 1404, 513, 2629, 1909, 538, 4687, 519, 5048, 609, 1866, 543, 4543, 873, 1174, 922, 2495, 780, 4131, 781, 2015, 606, 1383, 281, 5994, 6217, 513, 5639, 10213, 596, 547, 948, 1866, 538, 991, 269, 1411, 1522, 1589, 540, 713, 607, 513, 2123, 1289, 547, 2962, 267, 855, 952, 1866, 1376, 6217, 519, 1482, 5639, 267, 621, 1223, 1831, 519, 5748, 540, 513, 1007, 3661, 1062, 10704, 1472, 11587, 543, 8296, 269, 901, 14550, 875, 10143, 11240, 725, 666, 3337, 4984, 543, 3310, 1480, 2623, 780, 4089, 476, 273, 281, 589, 6733, 693, 7756, 2598, 335, 839, 725, 454, 9961, 1686, 267, 10143, 7919, 723, 27333, 3838, 741, 7326, 1282, 3982, 5712, 1634, 607, 7006, 839, 725, 269, 3962, 7006, 18730, 2934, 2189, 4031, 267, 10752, 267, 543, 4808, 5921, 585, 513, 1880, 1895, 540, 1004, 269, 2368, 1455, 7006, 839, 725, 5018, 538, 1082, 3909, 5931, 1331, 1384, 265, 634, 24686, 1105, 531, 2598, 335, 18730, 281, 4438, 713, 1974, 267, 3885, 941, 3366, 676, 24663, 338, 630, 1492, 9510, 5256, 4759, 264, 945, 19500, 607, 5289, 3401, 543, 1500, 3664, 1759, 593, 1463, 2792, 609, 519, 10143, 269, 1323, 6827, 832, 5129, 513, 1713, 1909, 538, 8429, 2059, 5389, 267, 2418, 267, 543, 2984, 689, 5108, 547, 5108, 563, 265, 634, 631, 6242, 545, 2598, 335, 18730, 281, 715, 3139, 1310, 15584, 267, 513, 7986, 12355, 6205, 267, 713, 5736, 4718, 519, 10661, 540, 6014, 1876, 543, 9821, 269, 6206, 3334, 3769, 519, 14210, 16710, 906, 267, 8192, 9993, 267, 543, 13411, 2395, 269, 3509, 540, 891, 2853, 3136, 547, 3337, 17194, 2221, 563, 265, 634, 4168, 2598, 335, 18730, 281, 8567, 7153, 1282, 713, 7006, 18730, 267, 10962, 1007, 10752, 543, 3741, 6273, 676, 4906, 2441, 779, 1272, 543, 5692, 269, 6239, 4798, 31721, 1472, 2648, 267, 19807, 267, 543, 20778, 269, 10271, 5001, 1246, 519, 6426, 267, 799, 3568, 6589, 540, 10143, 4205, 543, 5837, 4245, 780, 4322, 7006, 839, 725, 2709, 3407, 4030, 883, 8103, 781, 9687, 2078, 609, 519, 10143, 269, 1306, 7239, 1689, 936, 942, 267, 865, 1932, 798, 519, 2081, 538, 799, 1004, 13498, 543, 4497, 609, 10143, 6835, 780, 4089, 476, 274, 281, 4208, 5530, 23942, 1234, 767, 725, 888, 8139, 10143, 11240, 725, 2636, 721, 547, 5660, 519, 4763, 540, 3909, 2833, 2066, 4529, 543, 21971, 269, 898, 7512, 6568, 267, 2463, 267, 543, 7279, 950, 25884, 14542, 3661, 1949, 269, 5047, 267, 6313, 3140, 10143, 11240, 725, 3091, 1350, 31663, 525, 883, 519, 8186, 540, 938, 11937, 267, 13031, 741, 13922, 267, 12194, 267, 543, 9909, 780, 3528, 4974, 10143, 11240, 725, 267, 649, 1020, 2565, 3206, 1983, 2556, 547, 5659, 1950, 2093, 543, 10646, 1063, 23610, 1344, 543, 2123, 7664, 269, 1284, 1451, 547, 2307, 2055, 899, 281, 1215, 729, 713, 5048, 4607, 286, 5808, 14648, 621, 267, 543, 1946, 286, 1656, 1034, 11932, 267, 875, 1281, 713, 5048, 1764, 519, 2729, 540, 1346, 945, 9784, 621, 2496, 6962, 912, 1103, 3932, 267, 10143, 11240, 725, 1683, 4241, 9486, 883, 8103, 781, 5571, 1391, 585, 1620, 543, 4276, 609, 1945, 3152, 982, 6000, 269, 5664, 1153, 1053, 666, 4324, 7494, 689, 1565, 827, 3309, 3909, 5389, 543, 9301, 519, 7096, 1764, 789, 723, 1185, 593, 5935, 12977, 2429, 1686, 269, 12056, 609, 891, 3584, 11942, 7214, 2208, 1247, 5009, 1930, 16490, 1145, 543, 17685, 8590, 7071, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12901, 18709, 540, 519, 20227, 314, 17273, 1535, 3495, 4512, 2639, 763, 3778, 540, 519, 5783, 540, 4906, 2441, 540, 700, 2660, 6377, 29513, 568, 849, 519, 1686, 540, 519, 6679, 543, 3356, 540, 519, 2598, 335, 18730, 540, 519, 3505, 1145, 540, 8648, 282, 543, 607, 602, 7006, 18730, 12217, 606, 1271, 6935, 547, 782, 7006, 839, 725, 799, 723, 28263, 621, 267, 1577, 721, 1934, 23754, 538, 1018, 602, 6935, 5161, 269, 1635, 3257, 865, 649, 4927, 723, 513, 1732, 7071, 540, 519, 2407, 1104, 540, 1346, 2621, 799, 1118, 909, 519, 1686, 540, 519, 5783, 563, 288, 7006, 18730, 267, 1510, 4704, 547, 1022, 1808, 3498, 610, 20159, 540, 519, 2165, 267, 568, 519, 957, 540, 7231, 856, 610, 26084, 267, 971, 607, 519, 7006, 18730, 540, 5126, 676, 10470, 267, 519, 7006, 18730, 540, 25736, 610, 3413, 12787, 687, 676, 519, 1688, 540, 3038, 2064, 269, 634, 10999, 513, 7006, 18730, 568, 3989, 607, 835, 540, 519, 1896, 1949, 610, 4703, 540, 1876, 538, 799, 693, 1114, 5712, 2696, 814, 7000, 1010, 2247, 543, 786, 547, 812, 267, 971, 607, 519, 24686, 1105, 531, 2598, 335, 18730, 267, 519, 631, 6242, 545, 2598, 335, 18730, 267, 610, 519, 4168, 2598, 335, 18730, 269, 634, 2262, 568, 849, 3006, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4942, 3342, 4451, 540, 2696, 257, 607, 851, 540, 834, 32628, 1315, 13898, 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, 2026, 596, 2263, 707, 1007, 10450, 267, 649, 1616, 547, 948, 596, 1174, 930, 1898, 2035, 602, 786, 1118, 707, 1995, 811, 11791, 543, 2922, 269, 769, 713, 5850, 267, 649, 3513, 3391, 596, 998, 7384, 519, 11158, 630, 19575, 19965, 264, 12039, 267, 799, 568, 2629, 585, 7863, 3054, 689, 5739, 3141, 12345, 780, 1262, 3721, 476, 272, 281, 13760, 1548, 519, 11158, 12039, 1772, 4373, 763, 11158, 12039, 568, 513, 10230, 1871, 602, 3800, 519, 4222, 540, 519, 3141, 781, 22292, 5982, 8757, 519, 3047, 781, 2627, 269, 901, 4994, 2337, 3589, 519, 1981, 540, 2960, 3441, 267, 3750, 3441, 267, 543, 824, 1072, 2042, 3361, 676, 7050, 4598, 547, 519, 3141, 269, 6056, 540, 621, 899, 513, 9963, 1062, 547, 10332, 596, 950, 621, 781, 942, 547, 1491, 15416, 2439, 5331, 8066, 513, 2027, 3926, 602, 666, 3713, 15865, 1648, 6329 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2480, 2297, 267, 543, 30064, 631, 2572, 269, 1452, 7786, 949, 849, 2014, 3441, 547, 519, 3529, 267, 2705, 519, 13526, 2541, 540, 519, 5810, 4482, 22404, 269, 634, 22404, 616, 15504, 547, 519, 5810, 538, 1931, 547, 3343, 3940, 1107, 3638, 14947, 593, 519, 3330, 563, 24109, 753, 281, 634, 1152, 2009, 1072, 9651, 585, 519, 3425, 689, 713, 2030, 568, 602, 621, 949, 2014, 11959, 269, 4746, 267, 519, 1480, 2551, 27422, 547, 946, 519, 454, 291, 1047, 848, 281, 634, 3529, 568, 6140, 2068, 1863, 267, 855, 621, 666, 581, 1641, 547, 6978, 9634, 602, 616, 3361, 676, 4551, 610, 13271, 269, 595, 1678, 619, 666, 2014, 519, 8371, 547, 5884, 267, 855, 609, 2834, 22289, 543, 14450, 1282, 3819, 4365, 519, 595, 1678, 619, 949, 581, 14284, 563, 8448, 4277, 5013, 454, 763, 17082, 540, 519, 28397, 1356, 13804, 16288, 729, 18264, 1329, 928, 31522, 1052, 5174, 617, 514, 269, 1261, 729, 513, 8303, 1014, 17199, 602, 5828, 883, 513, 24972, 2159, 584, 626, 267, 602, 3444, 26870, 2371, 563, 268, 3509, 540, 519, 19211, 543, 4054, 689, 519, 13804, 16288, 576, 2801, 1920, 723, 1044, 2291, 550, 585, 6634, 540, 1296, 267, 1247, 519, 28397, 1356, 13804, 16288, 568, 513, 10316, 2813, 676, 812, 563, 268, 634, 3172, 565, 5362, 1118, 513, 8748, 27536, 4159, 267, 609, 519, 11944, 540, 5810, 538, 606, 11606, 267, 25361, 519, 24588, 1354, 519, 3762, 666, 10836, 563, 17273, 31751, 676, 661, 27996, 2142, 529, 1156, 454, 300, 1725, 16288, 1535, 9997, 836, 10005, 281, 28397, 1356, 13804, 16288, 272, 454, 10955, 1189, 674, 269, 16500, 2006, 543, 667, 12447, 717, 269, 23846, 273, 454, 306, 29694, 13804, 16288, 568, 513, 3818, 268, 980, 4364, 267, 10825, 3529, 267, 476, 1839, 3952, 7381, 609, 513, 476, 736, 547, 476, 1789, 20356, 3262, 543, 6505, 267, 10694, 12457, 13626, 269, 12618, 2557, 568, 26815, 3728, 855, 25815, 1524, 14320, 607, 519, 3529, 10301, 827, 476, 736, 26188, 540, 2085, 269, 8479, 4054, 616, 3982, 569, 20005, 267, 4742, 811, 24814, 267, 1287, 5180, 676, 476, 1015, 1296, 540, 2085, 269, 14066, 267, 27967, 267, 3039, 8768, 19512, 616, 5645, 998, 519, 5162, 693, 519, 4388, 540, 28221, 8371, 269, 634, 18742, 1930, 538, 3735, 5162, 547, 2038, 5614, 1354, 519, 3762, 267, 6721, 1804, 267, 3043, 5810, 26484, 538, 11909, 267, 2870, 513, 20498, 8768, 4159, 269, 1717, 267, 513, 3735, 15470, 666, 1419, 25010, 519, 5810, 538, 782, 2127, 1141, 621, 568, 6738, 269, 901, 666, 581, 11212, 14922, 532, 2094, 596, 7227, 476, 7906, 4374, 585, 519, 5810, 547, 2408, 269, 769, 15911, 16374, 267, 519, 3735, 32704, 1359, 25926, 2057, 15470, 3441, 855, 930, 616, 1447, 1397, 344, 982, 519, 2038, 32704, 1229, 3029, 799, 19806, 558, 950, 2370, 3116, 568, 538, 8768, 563, 29557, 27070, 13804, 16288, 1535, 9997, 836, 10005, 281, 28397, 1356, 13804, 16288, 454, 26199, 2012, 281, 13804, 16288, 1535, 9997, 836, 10005, 25460, 10586, 281, 4012, 9539, 302, 6122, 324, 268, 7795, 1535, 865, 334, 2000, 534, 18191, 2465, 5025, 312, 5991, 7795, 5871, 2012, 4433, 2567, 28397, 1356, 13804, 16288, 7731, 281, 13804, 16288, 576, 2801, 22340, 2182, 1465, 10851, 281, 476, 276, 288, 998, 476, 280, 288, 630, 8993, 269, 476, 273, 264, 18882, 281, 711, 5065, 547, 3345, 3013, 12833, 5297, 1761, 281, 2370, 12362, 1761, 21964, 281, 19494, 282, 16064, 610, 1273, 1470, 282, 8708, 610, 1544, 614, 282, 17611, 531, 1512, 282, 12094, 2997, 22355, 281, 711, 5065, 547, 3345, 3013, 7612, 476, 273, 563, 3891, 697, 281, 476, 736, 547, 476, 1839, 3952, 24619, 281, 476, 736, 547, 476, 1789, 3952, 22477, 7833, 640, 281, 12150, 22477, 3337, 281, 20005, 270, 699, 551, 267, 5180, 22477, 5860, 281, 1930, 12618, 2557, 281, 9793, 7956, 675, 281, 21432, 454, 8867, 2378, 11460, 281, 14595, 630, 8993, 269, 476, 274, 264, 23516, 1826, 281, 2241, 23516, 14345, 281, 3003, 267, 3768, 3634, 23516, 3337, 281, 1073, 990, 622, 267, 1073, 14075, 23516, 9006, 566, 281, 533, 4883, 622, 267, 2909, 577, 573, 617, 4435, 23516, 1826, 543, 18094, 281, 28301, 23516, 16405, 3259, 281, 476, 273, 547, 476, 275, 6279, 267, 476, 275, 547, 476, 279, 6279, 23516, 2681, 281, 3039, 12096, 2681, 281, 5835, 12096, 8984, 281, 1397, 344, 7612, 476, 274, 563, 293, 12294, 2681, 281, 11909, 267, 3043, 270, 920, 600, 17320, 2001, 27003, 4162, 281, 1360, 1397, 344, 7612, 476, 275, 563, 293, 8816, 3337, 281, 28608, 267, 12150, 22500, 3259, 281, 476, 272, 547, 476, 274, 6279, 22500, 8720, 281, 3819, 610, 2182, 22500, 2681, 281, 2699, 22500, 4162, 281, 1281, 711, 4482, 7320, 282, 711, 1397, 344, 282, 4829, 270, 548, 2314, 711, 513, 16445, 1966, 454, 23871, 6064, 543, 645, 3757, 2583, 454, 23871, 6064, 11486, 1046, 270, 1962, 534, 2583, 281, 8371, 5323, 641, 282, 1397, 344, 282, 3335, 3818, 2389, 337, 6064, 539, 282, 5247, 985, 2398, 12941, 10421, 281, 2370, 2838, 16505, 720, 281, 11259, 7351, 1032, 1000, 580, 2681, 281, 6960, 7351, 1032, 1000, 580, 11098, 281, 5420, 8381, 1808, 8904, 281, 7164, 454, 23409, 10421, 281, 2407, 3141, 267, 9864, 3141, 610, 9864, 12094, 14606, 7109, 1734, 281, 10036, 282, 5070, 282, 3138, 600, 282, 15755, 282, 1134, 1673, 11712, 667, 3754, 10892, 281, 9793, 589, 14058, 565, 6070, 10892, 281, 9039, 454, 305, 334, 1824, 281, 711, 513, 1966, 15604, 1719, 281, 9811, 4934, 9227, 3529, 281, 9811, 23520, 821, 8417, 281, 27031, 20539, 545, 650, 1756, 530, 2830, 18687, 281, 11630, 28814, 4187, 281, 11259, 547, 10860, 7933, 1047, 1162, 454, 8196, 543, 5004, 454, 763, 3529, 568, 1655, 1031, 607, 513, 19494, 538, 513, 13566, 5544, 1141, 621, 666, 1020, 513, 27101, 13862, 269, 898, 666, 581, 929, 25293, 909, 952, 12630, 2673, 547, 513, 3802, 610, 1273, 1470, 547, 1450, 585, 31355, 24999, 855, 4440, 5654, 922, 1655, 950, 8371, 616, 2451, 547, 5323, 641, 547, 519, 2666, 269, 634, 1769, 12457, 13626, 2982, 1055, 23182, 267, 3226, 1282, 519, 5162, 950, 519, 3529, 568, 11953, 563, 306, 29694, 13804, 16288, 9428, 1655, 538, 513, 13566, 4087, 538, 3638, 267, 5848, 855, 24338, 3037, 269, 898, 786, 20496, 4057, 12775, 585, 1152, 513, 2110, 1974, 540, 942, 269, 12618, 786, 581, 6094, 543, 682, 1375, 344, 538, 513, 26484, 5544, 855, 11807, 538, 851, 12094, 269, 28397, 1356, 13804, 16288, 20247, 10105, 3819, 610, 22279, 3037, 855, 786, 6382, 1332, 1360, 1134, 538, 519, 2749, 269, 3690, 8690, 538, 519, 5614, 267, 1175, 1354, 2208, 5956, 267, 543, 946, 3440, 539, 543, 3276, 331, 11474, 610, 8708, 1242, 2371, 269, 24771, 2371, 798, 711, 899, 547, 581, 929, 25293, 543, 1804, 16398, 949, 711, 2673, 1134, 269, 21541, 2371, 2038, 538, 741, 1272, 547, 1020, 519, 5551, 1106, 563, 23744, 621, 568, 11641, 1863, 269, 2480, 2297, 540, 1585, 2010, 949, 15890, 1000, 12127, 269, 13804, 16288, 4336, 568, 519, 1034, 1455, 4336, 543, 666, 581, 835, 3368, 20878, 14092, 1484, 269, 3683, 342, 5793, 532, 10253, 616, 2356, 6417, 609, 24972, 12734, 3282, 4294, 538, 519, 5614, 563, 307, 592, 760, 6261, 6955, 541, 649, 5271, 559, 630, 338, 817, 2378, 6652, 649, 5271, 559, 264, 20555, 607, 513, 6978, 1295, 518, 950, 1762, 543, 1750, 9749, 9475, 538, 519, 3762, 607, 606, 2937, 563, 763, 3529, 568, 3622, 2068, 1863, 269, 13804, 16288, 949, 581, 1641, 547, 6978, 9634, 3361, 676, 4551, 610, 513, 1804, 1297, 540, 13271, 269, 23516, 9634, 10355, 2154, 3114, 8060, 269, 681, 820, 909, 543, 26565, 540, 7783, 3762, 563, 290, 1678, 518, 3676, 786, 6146, 8371, 269, 595, 1678, 619, 593, 8371, 666, 581, 929, 25293, 856, 269, 5901, 4054, 2635, 609, 2834, 22289, 543, 676, 14450, 538, 3819, 4365, 563, 309, 1068, 545, 650, 1756, 530, 2830, 949, 2014, 2669, 540, 513, 1906, 8371, 610, 949, 6146, 519, 3529, 269, 2398, 2317, 856, 4666, 8371, 543, 6992, 1125, 609, 1164, 9436, 13226, 563, 1607, 3561, 568, 13673, 295, 268, 276, 3393, 267, 835, 540, 513, 3126, 540, 519, 7025, 29088, 22450, 267, 772, 293, 270, 9281, 3008, 22362, 269, 22731, 8313, 4266, 5437, 476, 1960, 274, 269, 4860, 2213, 5412, 476, 1220, 277, 269, 5623, 539, 5988, 476, 1001, 275, 269, 16731, 519, 11581, 3041, 3896, 693, 5291, 2517, 539, 529, 269, 604, 553, 269, 340, 4148, 12975, 563, 10955, 1189, 674, 269, 16500, 2006, 267, 7548, 267, 7025, 29088, 22450, 4972, 282, 667, 12447, 717, 269, 23846, 267, 5449, 12314, 7548, 267, 16581, 7177, 4972, 267, 772, 293, 270, 9281, 3008, 22362, 267, 28150, 525, 6807, 267, 18919, 476, 30444, 1556, 563, 763, 4659, 540, 5253, 543, 16581, 7070, 630, 9281, 3008, 264, 568, 606, 26321, 31621, 26323, 17101, 547, 1683, 1382, 267, 3872, 1344, 543, 824, 2533, 1152, 547, 2043, 543, 5238, 602, 1599, 609, 1875, 1673, 4593, 19303, 609, 2463, 547, 5198, 267, 1212, 539, 267, 2681, 267, 4984, 267, 2085, 267, 9659, 267, 3023, 267, 4638, 10066, 267, 29281, 4567, 267, 3084, 5169, 267, 2797, 8369, 610, 28930, 725, 269, 1280, 811, 1344, 593, 13844, 824, 772, 293, 270, 9281, 3008, 22362, 12326, 267, 3346, 707, 10315, 779, 772, 293, 270, 9281, 3008, 22362, 5604, 563, 308, 2529, 269, 4972, 540, 11982, 267, 772, 293, 270, 9281, 3008, 22362, 6796, 267, 2160, 540, 8419, 267, 17692, 3008, 267, 8419, 589, 1299, 631, 2160, 31913, 22362, 5358, 267, 543, 4425, 1841, 540, 6019, 8189, 619, 23101, 908, 269, 19162, 570, 269, 9255, 267, 632, 534, 585, 772, 293, 270, 9281, 3008, 22362, 563, 300, 1725, 16288, 1535, 9997, 1052, 3570, 454, 2005, 729, 538, 476, 9264, 277, 950, 519, 1360, 1101, 16036, 540, 713, 4583, 10487, 1356, 3172, 16288, 3357, 883, 519, 1158, 269, 898, 729, 26870, 676, 3943, 7762, 534, 626, 18264, 1329, 928, 31522, 1052, 5174, 617, 514, 945, 476, 277, 1296, 1354, 602, 1967, 1500, 513, 3444, 1063, 544, 6155, 523, 644, 1092, 543, 544, 7456, 559, 604, 3271, 320, 269, 898, 18742, 593, 11953, 8371, 609, 18991, 1085, 5034, 267, 979, 1076, 339, 268, 610, 10487, 1356, 11057, 5810, 602, 616, 3043, 3330, 543, 1769, 11909, 610, 1769, 6299, 344, 25549, 593, 519, 3544, 269, 27003, 19512, 616, 3833, 1804, 543, 27967, 267, 543, 2408, 593, 519, 2030, 538, 3735, 4832, 519, 3105, 1032, 269, 898, 6238, 28480, 950, 476, 277, 268, 279, 1296, 2025, 543, 2094, 1287, 18742, 1527, 2224, 569, 543, 28761, 1169, 1032, 269, 27817, 616, 4571, 547, 2620, 3039, 267, 13888, 543, 5594, 530, 8283, 269, 1879, 538, 2407, 6978, 3172, 565, 5362, 616, 519, 16437, 652, 28301, 3376, 548, 8491, 19211, 269, 9521, 922, 3237, 621, 5810, 1360, 2038, 267, 649, 4061, 2303, 9544, 621, 538, 513, 2990, 602, 568, 711, 519, 3636, 652, 538, 707, 4677, 547, 2057, 16349, 15496, 543, 3976, 29400, 3441, 676, 4571, 1606, 7428, 8389, 7370, 269, 634, 3037, 1590, 581, 3638, 538, 5214, 2339, 267, 5594, 15755, 267, 9090, 18654, 6954, 267, 2141, 5848, 855, 711, 6632, 267, 15449, 762, 543, 23295, 1769, 630, 5417, 24435, 1040, 898, 2115, 547, 581, 15273, 3481, 538, 4832, 547, 11677, 607, 1454, 7509, 607, 2009, 269, 19594, 538, 2247, 602, 713, 3172, 16288, 786, 581, 513, 15186, 1804, 21906, 269, 27975, 569, 25836, 547, 22340, 7997, 476, 276, 563, 5353, 548, 322, 21698, 281, 10326, 5489, 841, 454, 25219, 1006, 7874, 3529, 563, 306, 29694, 13804, 16288, 568, 513, 2442, 15496, 20020, 3529, 267, 2356, 607, 513, 3818, 2389, 337, 6064, 610, 1970, 1532, 3757, 4221, 19494, 585, 10651, 610, 1876, 985, 269, 898, 3340, 10690, 267, 15417, 3037, 543, 9793, 7509, 267, 1141, 621, 5810, 1655, 538, 2407, 3141, 269, 898, 18742, 693, 513, 1762, 2085, 269, 3509, 3957, 8677, 616, 2139, 267, 609, 3043, 267, 11909, 543, 1625, 680, 880, 610, 561, 559, 659, 5810, 269, 898, 949, 5555, 2154, 5781, 16516, 1769, 1283, 16013, 2719, 630, 8117, 711, 8209, 1352, 2130, 264, 540, 24526, 1283, 22534, 547, 2226, 922, 4463, 2630, 476, 1839, 12664, 563, 31549, 29549, 27003, 563, 30943, 547, 5333, 563, 300, 1725, 16288, 6398, 9997, 836, 10005, 454, 21206, 5871, 18780, 454, 6347, 10813, 2207, 631, 8980, 301, 5357, 8656, 267, 8863, 2562, 2464, 292, 631, 8980, 301, 5357, 8656, 267, 808, 4338, 3198, 2464, 292, 631, 8980, 301, 5357, 8656, 454, 292, 5550, 610, 1975, 15105, 609, 513, 8899 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 26563, 4479, 454, 8794, 713, 1505, 267, 649, 5659, 519, 3119, 2497, 540, 519, 3940, 267, 799, 786, 1450, 721, 547, 2697, 2436, 519, 3940, 814, 22734, 9259, 971, 607, 2926, 565, 1736, 269, 19452, 267, 621, 2636, 30260, 519, 4527, 540, 2022, 20675, 331, 1049, 12381, 971, 607, 9848, 6523, 2643, 725, 267, 8485, 800, 331, 725, 267, 1035, 25485, 725, 267, 3092, 269, 538, 3940, 563, 273, 11607, 670, 8582, 9215, 19294, 3008, 13543, 5990, 670, 6865, 8104, 2894, 292, 14510, 5508, 11550, 15288, 27486, 454, 5629, 519, 19454, 543, 8699, 540, 938, 3940, 3732, 814, 1044, 5462, 267, 621, 568, 2556, 547, 2708, 2436, 789, 616, 4630, 10942, 3585, 7856, 538, 519, 3732, 543, 711, 267, 585, 1383, 267, 8108, 27960, 269, 2913, 779, 1294, 1018, 2553, 666, 581, 1031, 585, 713, 3483, 912, 268, 25674, 8752, 2480, 30568, 630, 291, 11862, 994, 1607, 4480, 3096, 8701, 1242, 8955, 1769, 547, 2268, 519, 1377, 540, 32250, 538, 513, 3732, 269, 634, 24980, 786, 581, 14354, 547, 519, 8652, 323, 29174, 8953, 540, 519, 5536, 538, 3070, 1459, 538, 519, 3732, 267, 3850, 519, 4527, 540, 1507, 5666, 540, 27960, 547, 581, 4857, 563, 268, 11158, 23724, 1043, 543, 28264, 21655, 454, 763, 11158, 23724, 1043, 4480, 2636, 721, 547, 3489, 12007, 1344, 827, 519, 4527, 540, 27960, 538, 519, 3732, 538, 513, 2241, 1259, 267, 3274, 676, 5464, 519, 10110, 766, 1657, 476, 17168, 333, 332, 269, 769, 2013, 540, 5365, 267, 519, 4527, 540, 27960, 568, 9672, 563, 2026, 606, 4244, 267, 649, 666, 849, 18992, 547, 28264, 21655, 1547, 769, 713, 2013, 267, 519, 30843, 4994, 630, 9590, 264, 568, 6027, 267, 799, 568, 519, 5223, 540, 14556, 885, 19501, 676, 519, 3732, 693, 476, 18231, 333, 332, 543, 476, 22430, 333, 332, 269, 769, 519, 2013, 540, 606, 14919, 6954, 3732, 267, 713, 4994, 1590, 581, 2673, 547, 4642, 563, 268, 12025, 17181, 24885, 2762, 454, 2005, 568, 519, 3044, 9668, 4480, 547, 2697, 543, 22945, 519, 3940, 23731, 12002, 1459, 538, 519, 3732, 563, 274, 11607, 670, 8582, 9215, 19294, 3008, 13543, 5990, 8028, 30888, 14510, 5508, 11550, 15288, 27486, 454, 2414, 9096, 267, 2899, 519, 19454, 267, 8699, 543, 4630, 23189, 540, 519, 3940, 538, 519, 3732, 723, 1044, 20240, 267, 621, 568, 942, 547, 6218, 519, 6211, 2534, 543, 10342, 540, 519, 1482, 267, 538, 519, 2680, 602, 713, 568, 513, 10421, 585, 938, 22368, 563, 763, 3123, 602, 949, 2014, 519, 3940, 547, 581, 1875, 1922, 23341, 2039, 689, 11234, 24208, 1282, 519, 21921, 5364, 4082, 5123, 267, 547, 13779, 609, 3606, 9696, 971, 607, 513, 11090, 563, 2414, 3313, 519, 5834, 540, 3742, 610, 6198, 3940, 538, 519, 3732, 267, 972, 616, 2789, 1808, 29508, 971, 607, 1591, 18735, 29508, 267, 11747, 29508, 267, 610, 6198, 20700, 3041, 2026, 2073, 799, 616, 3622, 1759, 593, 519, 29512, 3601, 610, 11006, 4390, 540, 519, 3940, 540, 1719, 547, 3313, 519, 1377, 540, 6211, 2534, 540, 519, 1482, 269, 0, 1607, 2376, 568, 1152, 2139, 538, 519, 7300, 3898, 269, 8281, 519, 7300, 547, 2070, 519, 2376, 267, 607, 1134, 607, 922, 2404, 5515, 543, 7515, 563, 2414, 519, 15503, 281, 1765, 454, 16031, 269, 23011, 1230, 656, 267, 1225, 1807, 540, 20641, 693, 519, 15740, 25089, 267, 6645, 721, 602, 1034, 540, 519, 678, 25114, 333, 1389, 538, 519, 18519, 5101, 543, 14913, 1831, 27248, 1282, 1360, 3905, 4365, 269, 1358, 2611, 6456, 1282, 519, 21765, 3108, 543, 798, 741, 21786, 1782, 543, 10122, 1310, 519, 2666, 543, 2011, 723, 22799, 269, 634, 3510, 568, 10169, 1114, 538, 519, 25545, 4525, 1141, 519, 2837, 14380, 1360, 1164, 1282, 519, 21765, 3108, 267, 2523, 950, 972, 616, 1100, 12269, 269, 769, 891, 4525, 5210, 4043, 547, 6749, 14320, 693, 3781, 267, 543, 713, 568, 2523, 3020, 693, 2362, 31556, 269, 3143, 24856, 5210, 538, 891, 2127, 949, 581, 1932, 1970, 547, 12954, 519, 13131, 883, 2534, 269, 1717, 267, 6004, 269, 1230, 656, 6645, 721, 602, 519, 1200, 7065, 5505, 945, 2661, 538, 519, 4639, 2161, 602, 621, 568, 1034, 8966, 547, 1265, 678, 25114, 333, 1389, 827, 693, 1022, 942, 540, 519, 1554, 4849, 538, 519, 5614, 540, 519, 1032, 950, 789, 723, 5063, 454, 18250, 290, 516, 776, 29375, 267, 654, 584, 29992, 22743, 269, 12971, 6311, 7838, 2793, 299, 670, 5723, 3951, 306, 5508, 590, 2793, 298, 2464, 7304, 788, 569, 269, 808, 24717, 269, 476, 4198, 280, 282, 10204, 263, 1724, 2567, 15647, 277, 269, 8222, 281, 1015, 269, 1911, 272, 10768, 4821, 269, 4198, 280, 269, 27157, 6200, 4968, 12010, 2764, 454, 17357, 517, 8785, 12754, 4741, 454, 20578, 1125, 707, 808, 24717, 8416, 1995, 676, 8939, 835, 610, 811, 3584, 689, 519, 1592, 2630, 563, 8620, 513, 2123, 2272, 610, 1129, 538, 547, 281, 0, 263, 14106, 1243, 476, 2764, 2053, 267, 476, 272, 11564, 2221, 264, 293, 864, 1504, 23562, 7867, 303, 15517, 24591, 26166, 11590, 360, 271, 808, 11481, 8127, 723, 6273, 513, 2860, 1591, 3406, 1907, 1107, 1175, 835, 540, 1007, 2472, 543, 2533, 6273, 676, 2470, 11053, 550, 12386, 16785, 281, 968, 11900, 18944, 676, 7286, 7068, 602, 1459, 1279, 17895, 8163, 5627, 2789, 23287, 11890, 547, 3927, 7001, 13576, 1426, 1300, 12885, 2223, 2564, 3173, 3710, 513, 1007, 16785, 585, 1973, 602, 29598, 811, 21883, 10510, 2281, 630, 6311, 12336, 264, 982, 2009, 1354, 267, 513, 1007, 1957, 538, 623, 2793, 306, 4080, 269, 634, 17895, 8163, 1450, 513, 476, 274, 5937, 3060, 11460, 540, 5027, 22204, 602, 6474, 4686, 2860, 2281, 538, 1507, 5439, 540, 1973, 269, 3163, 11545, 6257, 1018, 789, 1705, 281, 288, 1007, 3926, 689, 3173, 693, 20037, 543, 5696, 662, 600, 543, 6468, 779, 11233, 936, 3699, 1346, 9465, 269, 27837, 676, 519, 17895, 8163, 540, 513, 21297, 8127, 267, 519, 2319, 22862, 513, 2890, 22381, 573, 545, 8756, 609, 1279, 22204, 540, 5027, 602, 10544, 1808, 5946, 1336, 593, 519, 7252, 540, 26679, 2281, 607, 789, 2095, 676, 269, 4635, 713, 4640, 267, 519, 3173, 6913, 2095, 3928, 476, 1015, 2053, 2362, 982, 4540, 3457, 2443, 3728, 2614, 547, 1118, 519, 1949, 4052, 585, 4791, 946, 2529, 7220, 11545, 11540, 513, 2034, 2376, 593, 713, 1007, 6915, 30816, 2029, 602, 666, 948, 968, 322, 2255, 543, 5305, 892, 15262, 2281, 1354, 789, 22037, 553, 1125, 267, 782, 676, 13147, 10107, 519, 17895, 12386, 1505, 540, 21297, 8127, 543, 4262, 31480, 8160, 337, 269, 11162, 18173, 281, 9894, 596, 2479, 1589, 827, 875, 2182, 621, 1131, 581, 585, 513, 18173, 547, 8038, 609, 18660, 12209, 286, 18641, 267, 789, 2097, 9280, 609, 1582, 268, 2193, 22135, 7252, 602, 5706, 1216, 543, 7452, 269, 12824, 693, 11882, 3557, 2160, 723, 2813, 513, 2627, 609, 2147, 3601, 602, 1281, 513, 1454, 1732, 2816, 693, 9363, 2973, 267, 3163, 11545, 4080, 269, 1284, 4076, 4862, 827, 16356, 2960, 543, 2603, 639, 3762, 609, 713, 3959, 267, 855, 1631, 17984, 1107, 2907, 513, 2707, 540, 6915, 15564, 17508, 585, 741, 6505, 4778, 1107, 6443, 519, 7738, 12284, 269, 4256, 1382, 1957, 568, 13886, 267, 968, 27807, 1231, 18944, 7573, 6978, 543, 18173, 13617, 2627, 3889, 9256, 16356, 2960, 543, 2603, 639, 2360, 1848, 10925, 602, 9403, 3330, 12992, 543, 596, 1223, 968, 22519, 766, 5714, 2095, 543, 2061, 7252, 689, 3478, 18660, 2443, 4162, 602, 1223, 581, 13147, 17673, 538, 1164, 24289, 7252, 585, 8484, 543, 1216, 8154, 267, 27983, 267, 543, 2564, 3937, 1848, 8505, 11703, 10198, 281, 26287, 1231, 16784, 883, 6946, 5546, 676, 2470, 540, 741, 11254, 3679, 9696, 269, 12207, 1131, 899, 547, 1628, 24519, 2173, 778, 1149, 602, 798, 602, 8945, 269, 769, 7186, 2063, 3018, 630, 22261, 476, 279, 1070, 513, 2319, 3357, 513, 2370, 6251, 547, 602, 3804, 676, 8888, 9696, 602, 1223, 16784, 883, 1360, 2241, 5546, 602, 13822, 2679, 7161, 540, 2362, 3940, 3889, 267, 12077, 267, 13672, 27810, 543, 12498, 9212, 269, 1924, 2484, 519, 2164, 1152, 6542, 6169, 540, 1523, 585, 519, 2856, 282, 2067, 5946, 616, 1454, 811, 1950, 269, 4340, 547, 519, 15503, 779, 12834, 540, 513, 7186, 5240, 1299, 14358, 2376, 593, 713, 4674, 267, 968, 763, 1374, 3741, 543, 12191, 4330, 1934, 1058, 1450, 519, 1374, 540, 513, 2647, 2039, 540, 7347, 543, 7123, 3940, 2679, 7161, 585, 519, 1985, 5108, 540, 22041, 6198, 5946, 1848, 21960, 974, 670, 29420, 5206, 267, 968, 4415, 13080, 540, 476, 3199, 1700, 1911, 11254, 7408, 267, 519, 4589, 685, 3940, 3889, 616, 13380, 538, 2450, 547, 1507, 3940, 11890, 602, 957, 607, 2679, 7161, 540, 3677, 267, 811, 1950, 5946, 269, 634, 1374, 540, 2688, 3940, 21934, 9529, 602, 1685, 1007, 3252, 568, 1631, 10703, 22133, 267, 607, 568, 519, 10198, 540, 8273, 2966, 11890, 543, 844, 15715, 776, 23838, 1848, 301, 8457, 2173, 778, 1149, 281, 24935, 540, 5946, 267, 1082, 540, 873, 16784, 883, 7636, 6191, 602, 7001, 4351, 8143, 1648, 543, 2490, 621, 883, 3730, 960, 269, 12207, 538, 12670, 16309, 538, 1818, 513, 1360, 2241, 11573, 6438, 3926, 602, 7140, 14477, 3001, 7250, 6675, 883, 9138, 960, 267, 1715, 26831, 1767, 269, 968, 297, 846, 22695, 659, 1470, 623, 2444, 783, 693, 519, 5131, 2160, 540, 12670, 538, 5125, 543, 9164, 3576, 6667, 689, 519, 2067, 1158, 267, 1141, 4351, 5163, 7060, 3889, 971, 607, 5946, 602, 1847, 18535, 1472, 3330, 2281, 1848, 2171, 2273, 2634, 281, 769, 513, 2013, 540, 8790, 574, 7497, 538, 9258, 267, 835, 11248, 5526, 547, 17932, 1480, 7214, 5759, 269, 2334, 11248, 568, 4284, 30946, 4874, 21306, 636, 267, 513, 1793, 830, 9044, 269, 7186, 5240, 3370, 606, 2376, 827, 875, 713, 7810, 2890, 2041, 2982, 606, 4608, 15967, 2702, 547, 968, 338, 9876, 544, 30769, 267, 17932, 519, 11768, 540, 812, 13402, 6283, 5121, 543, 3442, 519, 1072, 5006, 1426, 689, 513, 3309, 10624, 11652, 782, 713, 1510, 513, 2634, 610, 8401, 1062, 1848, 901, 11248, 568, 9870, 2055, 827, 1018, 13054, 4987, 269, 634, 2376, 2882, 513, 3381, 17157, 540, 519, 11248, 6061, 513, 28618, 543, 2870, 513, 3965, 540, 519, 1034, 1463, 2619, 269, 5978, 29763, 1590, 14902, 950, 10583, 812, 9620, 547, 6952, 909, 609, 519, 4066, 1261, 3710, 883, 519, 14724, 2713, 1919, 269, 4168, 3237, 1058, 1589, 12517, 827, 513, 8790, 574, 7497, 4876, 585, 741, 2257, 1790, 13440, 665, 1190, 3214, 269, 898, 779, 476, 1911, 260, 16817, 6954, 543, 666, 948, 18495, 269, 3399, 873, 593, 513, 2257, 1788, 547, 1491, 513, 17079, 267, 17178, 610, 6978, 689, 1472, 519, 2777, 543, 2119, 547, 1628, 1945, 602, 708, 527, 919, 930, 14909, 4183, 540, 922, 1272, 269, 1403, 789, 19292, 267, 2995, 873, 789, 666, 581, 1975, 573, 9007, 563, 22416, 904, 807, 5794, 6050, 729, 2907, 538, 2620, 2883, 8373, 607, 621, 9411, 476, 1001, 275, 543, 519, 18618, 32333, 540, 19426, 631, 295, 24907, 543, 631, 295, 1704, 1152, 1500, 1919, 8338, 7868, 29617, 1185, 4503, 1269, 288, 272, 269, 276, 5479, 2094, 476, 1001, 272, 543, 519, 26301, 4718, 922, 2530, 585, 519, 2034, 10116, 10678, 4873, 476, 1789, 540, 602, 12556, 995, 1032, 24073, 517, 547, 3592, 1269, 288, 1911, 2929, 607, 15915, 18423, 2476, 269, 901, 729, 519, 15795, 2786, 10116, 569, 2530, 585, 519, 29617, 855, 621, 729, 3592, 5595, 519, 2530, 585, 519, 7222, 10116, 538, 519, 3105, 1032, 7868, 3210, 540, 519, 14570, 1014, 2229, 729, 547, 556, 5991, 1049, 1047, 519, 29617, 543, 1847, 621, 883, 513, 1007, 2754, 2497, 20136, 4718, 1533, 24507, 10609, 1794, 534, 1695, 715, 553, 1308, 267, 799, 2907, 11262, 476, 7597, 269, 275, 829, 1298, 540, 519, 29617, 267, 2628, 1269, 288, 14596, 2929, 585, 519, 6967, 476, 1789, 269, 277, 829, 1298, 540, 519, 8843, 543, 632, 2000, 626, 621, 693, 519, 1439, 540, 476, 1001, 275, 6993, 1906, 3275, 2663, 267, 606, 23070, 729, 12912, 547, 936, 5408, 519, 4483, 540, 7221, 543, 20824, 689, 519, 4540, 2754, 547, 513, 1007, 6174, 267, 17111, 5794, 6050, 7137, 17495, 7868, 333, 8783, 10324, 2441, 2684, 16334, 11839, 849, 1305, 827, 1018, 646, 1572, 513, 968, 14551, 19268, 685, 685, 585, 606, 29617, 646, 1767, 1185, 1044, 20248, 22625, 16638, 513, 1964, 4450, 6010, 2989, 547, 2475, 3848, 476, 1556, 28153, 267, 519, 29617, 6035, 6009, 547, 1175, 476, 1691, 267, 1822, 540, 922, 476, 736, 267, 1822, 5234, 267, 4421, 5656 ]

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

[ 1220, 278, 454, 15803, 281, 476, 27149, 274, 454, 27063, 281, 476, 6795, 692, 20132, 19560, 476, 6872, 280, 1496, 273, 316, 2073, 2016, 281, 476, 866, 692, 3725, 281, 20587, 559, 7726, 1109, 28784, 21529, 316, 476, 1109, 2767, 5463, 476, 1220, 280, 267, 476, 1321, 281, 7906, 454, 273, 454, 298, 11070, 5308, 454, 2304, 928, 20639, 2362, 982, 4010, 476, 1321, 540, 519, 476, 1839, 1053, 538, 1200, 1362, 269, 2701, 568, 538, 519, 32671, 30878, 269, 1548, 568, 562, 2496, 4692, 2576, 948, 803, 593, 875, 547, 1935, 30878, 2042, 780, 1321, 270, 1839, 815, 630, 1321, 343, 275, 19422, 1839, 343, 275, 264, 815, 476, 4366, 270, 1911, 1775, 4318, 269, 476, 4366, 628, 30878, 454, 6303, 29390, 10048, 4526, 454, 16274, 281, 476, 6021, 2904, 476, 1220, 280, 454, 15803, 281, 476, 1708, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 14695, 1496, 271, 3910, 2016, 281, 476, 1724, 692, 3725, 281, 20587, 559, 7726, 1109, 28784, 21529, 316, 476, 1109, 2918, 5463, 476, 1220, 280, 267, 476, 2641, 281, 6795, 454, 529, 621, 476, 2004, 628, 30878, 454, 6303, 318, 692, 29479, 568, 711, 513, 3014, 585, 17485, 619, 2073, 543, 519, 4090, 579, 6430, 547, 2408, 585, 621, 579, 616, 1100, 811, 513, 17485, 518, 5541, 3951, 306, 589, 645, 6938, 2562, 717, 28719, 692, 25938, 1640, 15440, 454, 16274, 281, 476, 1789, 4119, 476, 1220, 280, 454, 15803, 281, 476, 30525, 454, 19613, 281, 3127, 454, 3519, 1417, 1674, 281, 4937, 5004, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 9340, 1496, 271, 3910, 2016, 281, 476, 276, 692, 3725, 281, 20587, 559, 7726, 1109, 28784, 21529, 316, 476, 1109, 2918, 5463, 476, 1220, 280, 267, 476, 2420, 281, 4905, 454, 343, 322, 2224, 1889, 680, 345, 1220, 280, 5206, 912, 529, 621, 476, 2004, 628, 30878, 692, 16838, 1250, 1491, 568, 476, 2004, 628, 30878, 6236, 476, 1321, 15161, 723, 20639, 4010, 2362, 543, 476, 1321, 723, 20639, 2539, 982, 14732, 780, 287, 2398, 553, 611, 910, 29314, 543, 2707, 540, 2243, 726, 338, 454, 10048, 4526, 454, 16274, 281, 476, 2641, 7325, 476, 1220, 274, 454, 15803, 281, 476, 6924, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 1724, 1496, 271, 3910, 2016, 281, 476, 274, 692, 3725, 281, 20587, 559, 7726, 1109, 28784, 21529, 316, 476, 1109, 2767, 5463, 476, 1220, 280, 267, 476, 1015, 281, 1015, 454, 28557, 8382, 568, 476, 4366, 260, 543, 2707, 568, 918, 2908, 2023, 6092, 563, 3725, 281, 20587, 559, 7726, 5231, 1496, 258, 21529, 316, 476, 2767, 5463, 476, 1220, 280, 267, 476, 1015, 281, 1015, 454, 13436, 3584, 1234, 18680, 7831, 2022, 454, 13436, 454, 12749, 923, 912, 275, 4911, 11253, 779, 3446, 729, 538, 519, 476, 3445, 628, 30878, 856, 540, 476, 3199, 9344, 1775, 476, 275, 476, 2537, 4239, 476, 1220, 280, 267, 476, 1556, 281, 6872, 454, 272, 2549, 903, 3446, 729, 519, 476, 3445, 30878, 540, 519, 476, 3199, 9344, 585, 1200, 476, 277, 476, 1789, 3967, 476, 1220, 279, 267, 476, 1556, 281, 2537, 454, 288, 3240, 781, 3446, 729, 519, 476, 3445, 628, 30878, 540, 519, 476, 3199, 9344, 585, 1200, 476, 273, 476, 2537, 4239, 476, 1220, 278, 267, 476, 5400, 281, 2918, 454, 288, 3240, 781, 3446, 729, 476, 3445, 628, 30878, 540, 519, 476, 3199, 9344, 585, 1200, 476, 272, 476, 1015, 9947, 476, 1220, 277, 267, 476, 1556, 281, 6795, 454, 288, 3240, 781, 3446, 729, 519, 476, 3445, 628, 30878, 540, 519, 476, 3199, 9344, 585, 1200, 476, 273, 476, 2420, 9484, 476, 1220, 276, 267, 476, 736, 281, 7871, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 763, 31643, 3041, 568, 6462, 676, 519, 1082, 21464, 22881, 547, 519, 31643, 3041, 7690, 780, 670, 6493, 630, 294, 22901, 902, 689, 634, 2201, 6441, 710, 15610, 540, 6715, 518, 14938, 1878, 26695, 589, 27244, 14625, 28841, 540, 630, 272, 21147, 31618, 273, 21147, 19422, 272, 14870, 8203, 273, 269, 476, 273, 454, 476, 273, 267, 476, 278, 267, 476, 1724, 267, 476, 866, 267, 476, 1839, 267, 476, 4029, 267, 476, 4391, 267, 476, 6246, 267, 476, 5392, 267, 476, 4649, 267, 476, 8618, 267, 476, 6858, 267, 476, 10463, 267, 476, 8064, 267, 476, 5952, 267, 476, 11011, 267, 476, 9032, 267, 476, 9818, 267, 476, 11820, 267, 476, 12893, 267, 476, 13199, 267, 476, 14096, 267, 476, 15836, 267, 476, 16928, 267, 476, 13970, 267, 476, 14681, 267, 476, 14991, 267, 476, 14321, 267, 476, 15433, 267, 476, 11260, 267, 476, 8687, 267, 476, 6942, 267, 476, 4350, 267, 476, 1960, 267, 476, 13078, 267, 476, 21076, 267, 476, 24241, 267, 476, 23417, 267, 476, 26631, 267, 476, 20720, 267, 476, 25240, 267, 476, 26316, 267, 476, 26562, 267, 476, 28796, 267, 476, 25228, 267, 476, 27244, 267, 476, 28071, 267, 476, 27543, 267, 476, 29579, 267, 476, 27768, 267, 476, 22145, 267, 476, 28906, 267, 476, 27123, 267, 476, 29204, 267, 476, 23283, 630, 4289, 282, 3113, 282, 1201, 338, 282, 6432, 282, 1686, 282, 1257, 282, 4835, 3898, 994, 5508, 12396, 4953, 476, 271, 267, 272, 700, 2562, 16775, 2051, 514, 31661, 518, 267, 7305, 540, 562, 267, 513, 3799, 264, 585, 562, 815, 476, 271, 907, 1911, 271, 12039, 13366, 585, 5276, 9888, 18384, 609, 3586, 14170, 267, 15040, 630, 273, 16427, 272, 1040, 11123, 300, 308, 6369, 717, 8807, 12727, 630, 272, 21147, 31618, 273, 21147, 19422, 272, 14870, 8203, 273, 269, 513, 3799, 264, 815, 589, 17734, 10384, 3799, 8358, 277, 269, 513, 3799, 264, 815, 476, 277, 265, 333, 266, 272, 815, 589, 28318, 280, 2641, 3799, 264, 585, 562, 285, 271, 269, 513, 3799, 264, 815, 476, 273, 265, 320, 3799, 268, 272, 9984, 320, 3799, 268, 273, 264, 585, 562, 285, 273, 269, 661, 3052, 8807, 12727, 476, 272, 1341, 630, 272, 266, 277, 20080, 12684, 10339, 3287, 1040, 910, 717, 269, 595, 269, 13983, 889, 601, 267, 3057, 476, 4029, 476, 1001, 277, 3245, 19839, 334, 7137, 8688, 328, 543, 717, 269, 595, 269, 13983, 889, 601, 267, 3057, 476, 4029, 476, 1001, 277, 281, 630, 9359, 264, 513, 263, 276, 265, 332, 266, 272, 264, 815, 476, 1789, 265, 332, 1341, 476, 278, 815, 589, 15171, 23211, 9852, 266, 272, 1040, 513, 263, 276, 265, 332, 266, 273, 264, 815, 476, 1789, 265, 332, 1341, 476, 1724, 815, 589, 5400, 273, 3607, 280, 9852, 266, 272, 1040, 513, 263, 276, 265, 332, 266, 274, 264, 815, 476, 1789, 265, 332, 1341, 476, 866, 815, 589, 14444, 4391, 277, 9852, 1040, 513, 263, 276, 265, 332, 266, 275, 264, 815, 476, 1789, 265, 332, 1341, 476, 1839, 815, 476, 276, 265, 288, 28318, 280, 7597, 9852, 1040, 513, 263, 276, 265, 332, 266, 276, 264, 815, 476, 1789, 265, 332, 1341, 476, 4029, 815, 589, 12553, 30420, 9852, 266, 272, 1040, 630, 17484, 264, 513, 3799, 264, 815, 589, 1911, 278, 5038, 3799, 266, 274, 264, 585, 562, 13843, 476, 272, 269, 910, 9677, 674, 29531, 267, 4239, 476, 1789, 476, 1001, 279, 13878, 26154, 2316, 7563, 15012, 314, 346, 273, 9574, 12430, 13434, 584, 5270, 314, 346, 273, 267, 910, 272, 9574, 2715, 278, 267, 476, 1724, 9574, 476, 1911, 14963, 30916, 717, 269, 595, 269, 13983, 889, 601, 267, 3057, 476, 4029, 476, 1001, 277, 2608, 264, 11550, 294, 630, 303, 2752, 296, 264, 966, 1815, 9230, 272, 21147, 31618, 273, 21147, 19422, 272, 14870, 8203, 273, 1341, 744, 3287, 317, 3583, 4297, 595, 4629, 7704, 3918, 12396, 595, 325, 269, 589, 28318, 280, 2641, 267, 589, 17734, 10384, 269, 595, 325, 269, 589, 28318, 280, 7597, 267, 589, 5400, 273, 3607, 280, 267, 589, 1911, 278, 5038, 267, 589, 12553, 30420, 267, 589, 15171, 23211, 267, 589, 14444, 4391, 277, 269, 25627, 538, 2796, 281, 589, 22903, 277, 2537, 589, 11820, 31798, 589, 9610, 20862, 2608, 589, 15946, 5038, 277, 589, 14093, 4037, 276, 589, 23211, 4343, 274, 1520, 329, 8809, 9696, 281, 589, 27244, 9340, 589, 27244, 12208, 589, 27244, 13647, 2608, 589, 27244, 12893, 589, 27244, 14138, 589, 27244, 14056, 26395, 312, 310, 16704, 1875, 333, 267, 324, 6470, 27483, 295, 3036, 2051, 514, 31661, 518, 267, 3057, 476, 4029, 476, 1001, 277, 29865, 4785, 9516, 692, 16100, 1575, 1923, 8080, 1923, 26264, 1923, 19193, 1923, 8535, 1923, 18140, 476, 273, 1923, 5915, 657, 1923, 12039, 1923, 25873, 1923, 2859, 1923, 5680, 23173, 454, 6944, 25572, 1007, 694, 336, 269, 610, 6085, 1923, 14474, 1923, 13910, 16847, 1923, 3690, 13257, 1923, 8111, 572, 2131, 518, 1923, 5589, 757, 454, 763, 31643, 3041, 7991, 1923, 19321, 539, 676, 634, 31643, 3041, 7690, 5549, 780, 8310, 9168, 5181, 476, 1321, 476, 1556, 281, 5400, 29269, 476, 1708, 275, 269, 1230, 13935, 476, 23841, 25616, 9696, 269, 630, 305, 7342, 593, 522, 324, 529, 275, 4700, 0, 13043, 30360, 661, 706, 293, 7660, 568, 835, 540, 519, 1655, 2979, 3756, 593, 519, 5769, 2221, 269, 1411, 666, 1376, 4730, 585, 1863, 2439, 1012, 20274, 4569, 11621, 910, 476, 279, 628, 6103, 692, 13043, 30360, 20383, 547, 519, 20274, 4569, 11621, 585, 476, 279, 628, 6103, 269, 634, 4441, 2408, 2630, 2059, 609, 519, 4569, 30360, 3584, 602, 6474, 269, 1403, 596, 4945, 593, 513, 1888, 2012, 267, 596, 786, 1294, 3732, 2042, 693, 8795, 5232, 540, 7411, 602, 4569, 30360, 6383, 269, 1879, 1053, 946, 938, 1982, 267, 519, 7411, 540, 519, 2042, 786, 8850, 3082, 1759, 593, 1367, 2773, 267, 4611, 538, 711, 1152, 3020, 21630, 6044, 267, 855, 513, 4101, 3014, 6438, 1995, 780, 8698, 519, 20274, 4569, 11621, 693, 824, 2157, 780, 1012, 10789, 545, 25705, 692, 24092, 476, 272, 10789, 545, 25705, 281, 18963, 543, 17716, 910, 634, 2875, 786, 3113, 543, 4194, 5276, 4834, 543, 16526, 538, 1966, 6061, 3871, 563, 272, 269, 12307, 454, 320, 269, 7844, 267, 2328, 267, 543, 4194, 3818, 9912, 5276, 4834, 609, 835, 4756, 1210, 513, 3099, 540, 2409, 547, 4194, 3498, 2042, 269, 630, 30791, 12307, 2073, 17266, 24438, 12307, 476, 273, 2073, 17266, 24438, 12307, 476, 274, 2073, 10789, 545, 6478, 10819, 12467, 321, 269, 8641, 543, 4612, 519, 3070, 547, 835, 268, 543, 1079, 9912, 5276, 4834, 593, 513, 1297, 1899, 609, 835, 4756, 543, 593, 513, 11282, 7077, 609, 1079, 4632, 269, 630, 23005, 1456, 32437, 12467, 322, 269, 21023, 519, 1198, 593, 519, 3113, 540, 513, 5276, 3830, 950, 519, 9386, 610, 586, 25435, 2242, 630, 324, 3052, 1421, 1118, 11236, 689, 11708, 267, 2697, 519, 9386, 610, 586, 25435, 538, 519, 3830, 586, 815, 544, 343, 1341, 536, 543, 9305, 547, 513, 3113, 1040, 630, 20877, 338, 547, 12430, 12307, 12467, 323, 269, 15233, 3617, 12596, 547, 4194, 2042, 630, 324, 3052, 1421, 546, 284, 4135, 267, 594, 284, 1440, 339, 1040, 630, 26594, 9314, 2073, 3281, 895, 9314, 2073, 20028, 267, 15580, 267, 543, 5384, 12467, 273, 269, 21153, 8017, 281, 7844, 267, 2328, 267, 4194, 267, 543, 3113, 835, 268, 543, 1079, 9912, 5276, 16526, 609, 835, 4756, 269, 630, 306, 17532, 24438, 21153, 8017, 2073, 7089, 7412, 21153, 8017, 25589, 1012, 7089, 23281, 543, 15051, 692, 24092, 476, 273, 7089, 23281, 543, 20491, 910, 634, 2875, 786, 946, 2338, 543, 1297, 3347, 547, 4194, 513, 3099, 540, 2042, 563, 272, 269, 7089, 23281, 281, 11724, 543, 4612, 1804, 2338, 543, 2338, 1447, 982, 835, 538, 12825, 543, 3621, 10035, 269, 630, 26199, 3502, 566, 12467, 273, 269, 7089, 15051, 454, 320, 269, 2422, 519, 3652, 540, 23055, 267, 1519, 8870, 23055, 267, 547, 4194, 2042, 630, 324, 3052, 1421, 476, 7761, 5788, 476, 10463, 284, 476, 4037, 476, 274, 268, 1015, 6440, 476, 4343, 815, 476, 274, 268, 273, 1040, 630, 22091, 7859, 2986, 26271, 531, 645, 1162, 2073, 20134, 5890, 7859, 2986, 26271, 531, 645, 1162, 2073, 5564, 28745, 543, 29435, 532, 5890, 9426, 25285, 2073, 5890, 9426, 16390, 1280, 17773, 12467, 321, 269, 16534, 2042, 1210, 3621, 10035, 269, 630, 26199, 3502, 566, 476, 273, 12467, 322, 269, 22217, 1518, 10230, 7215, 609, 7787, 2338, 267, 23055, 267, 543, 24324, 1210, 1931, 540, 4238, 269, 630, 8794, 9977, 12330, 2073, 11352, 2986, 15051, 2073, 5890, 7859, 2986, 26271, 531, 645, 1162, 2073, 20134, 5890, 7859, 2986, 26271, 531, 645, 1162, 2073, 5890, 9426, 16390, 1280, 17773, 25589 ]

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

[ 563, 763, 4214, 540, 834, 3528, 345, 14932, 257, 568, 6508, 689, 519, 2012, 540, 519, 3854, 540, 519, 10504, 269, 6736, 519, 1249, 602, 519, 3854, 729, 13166, 1572, 1715, 7507, 267, 543, 2663, 910, 31862, 267, 2687, 547, 3824, 11712, 4356, 267, 519, 11317, 540, 519, 2749, 1031, 922, 3504, 5259, 2012, 910, 18031, 656, 1756, 563, 5475, 519, 15652, 540, 519, 4936, 7276, 538, 4571, 268, 4375, 276, 267, 519, 7262, 851, 729, 10375, 569, 630, 8117, 796, 334, 1553, 6053, 264, 1572, 519, 31928, 704, 1014, 7276, 630, 5228, 519, 3504, 19621, 4214, 540, 834, 13523, 3338, 19823, 543, 519, 9456, 851, 609, 519, 3854, 538, 31862, 1031, 519, 18781, 834, 3528, 345, 14932, 257, 630, 773, 834, 3528, 345, 14932, 257, 713, 2262, 729, 1031, 267, 538, 1880, 267, 676, 519, 12206, 540, 519, 942, 267, 2398, 7416, 543, 5689, 577, 269, 2311, 519, 1482, 942, 267, 519, 8109, 4936, 7276, 729, 711, 2808, 513, 5094, 1533, 543, 729, 13166, 1572, 7354, 9850, 7377, 15252, 4302, 4936, 639, 563, 4415, 519, 2887, 540, 31928, 704, 807, 538, 476, 5325, 277, 267, 519, 2140, 540, 17169, 729, 3622, 17477, 1152, 676, 519, 17710, 540, 31862, 269, 4935, 267, 519, 991, 1256, 585, 519, 13016, 946, 540, 513, 5094, 2165, 547, 20301, 741, 1533, 814, 20374, 269, 634, 10504, 729, 1934, 2088, 1123, 5219, 547, 3274, 607, 4936, 610, 4936, 269, 634, 18781, 834, 3528, 345, 14932, 257, 4797, 547, 581, 1031, 910, 621, 568, 1336, 267, 538, 1880, 267, 538, 519, 12591, 540, 24686, 1105, 7353, 3780, 543, 538, 519, 7040, 910, 855, 1419, 607, 513, 28395, 585, 519, 2262, 834, 17746, 656, 514, 963, 8487, 763, 4408, 4168, 543, 5259, 25267, 616, 849, 1031, 538, 6196, 6739, 543, 6196, 23577, 545, 12225, 2873, 563, 763, 2012, 834, 3528, 345, 14932, 7276, 257, 568, 538, 3621, 946, 0, 3918, 21585, 281, 2311, 2547, 476, 15946, 2477, 723, 3323, 547, 3945, 3729, 741, 1004, 1996, 5046, 268, 866, 267, 609, 16266, 4867, 3001, 693, 519, 16595, 10605, 829, 21027, 1851, 2477, 609, 5095, 540, 693, 2547, 476, 272, 2929, 1004, 563, 763, 3162, 1977, 2197, 814, 13950, 513, 3232, 3328, 540, 476, 272, 267, 26482, 13066, 829, 476, 1911, 267, 1822, 1004, 538, 519, 2250, 5722, 2395, 267, 2687, 547, 513, 1234, 26407, 2079, 540, 12674, 1239, 6394, 676, 519, 2160, 540, 10228, 781, 3776, 2622, 538, 4578, 563, 23744, 267, 21950, 543, 811, 2919, 2477, 723, 1732, 1569, 547, 10074, 607, 789, 723, 811, 3608, 1072, 1416, 5989, 547, 5478, 267, 10536, 543, 17982, 13066, 563, 10666, 476, 7830, 829, 1298, 540, 1004, 945, 723, 4607, 693, 2547, 835, 9570, 540, 513, 6669, 941, 689, 1164, 4747, 2477, 543, 693, 2547, 476, 2568, 829, 1298, 941, 689, 2342, 543, 3345, 3013, 267, 2687, 547, 519, 1234, 26407, 2079, 540, 519, 1239, 269, 1401, 7672, 689, 519, 9819, 616, 2477, 602, 1152, 1867, 2698, 13066, 1510, 28408, 519, 1297, 540, 1004, 18764, 563, 7197, 5046, 268, 866, 10074, 2154, 1079, 13066, 267, 971, 607, 519, 3283, 2919, 676, 8330, 571, 313, 523, 29132, 267, 7073, 320, 543, 26172, 6500, 1315, 12713, 301, 27700, 269, 634, 6669, 2919, 676, 9652, 1299, 9652, 3340, 1152, 835, 9570, 269, 0, 763, 29375, 296, 1315, 594, 273, 290, 630, 296, 26690, 4211, 264, 7014, 729, 11827, 676, 5845, 2354, 269, 769, 29375, 296, 519, 17626, 1239, 6771, 568, 2944, 538, 607, 2106, 28942, 7154, 269, 901, 7014, 3096, 1152, 1079, 12904, 585, 14379, 1063, 1079, 610, 811, 594, 12336, 269, 634, 1079, 19915, 27399, 1930, 8963, 3515, 3957, 590, 6395, 630, 32513, 658, 4578, 264, 543, 590, 12710, 630, 32513, 658, 1849, 1442, 264, 609, 7485, 909, 27856, 616, 1031, 585, 1239, 4483, 1063, 3457, 563, 3080, 540, 519, 1079, 3457, 267, 799, 8060, 519, 2898, 1184, 267, 568, 1634, 607, 9457, 543, 519, 824, 799, 20781, 547, 519, 14511, 540, 4487, 568, 1634, 607, 32013, 3926, 269, 634, 8028, 298, 630, 871, 852, 1578, 618, 264, 5365, 568, 2366, 22812, 18727, 689, 1312, 519, 5011, 1310, 1169, 4483, 543, 8754, 6971, 519, 5470, 269, 590, 12710, 568, 519, 9219, 1899, 1668, 1031, 585, 15222, 1436, 543, 568, 6417, 676, 519, 4487, 269, 590, 6395, 568, 1634, 607, 519, 1239, 4483, 1668, 563, 296, 273, 290, 20081, 310, 296, 568, 513, 3368, 5918, 14658, 17626, 6771, 543, 8754, 519, 1239, 2095, 666, 581, 538, 513, 4287, 693, 513, 942, 269, 634, 1239, 4483, 2557, 5673, 593, 12627, 4908, 540, 10553, 17120, 269, 634, 2557, 540, 1239, 4483, 4016, 547, 9219, 4908, 593, 590, 12710, 1668, 799, 1590, 581, 476, 272, 270, 1626, 628, 454, 293, 6150, 7201, 281, 1548, 1772, 0, 13436, 640, 540, 12730, 1341, 5086, 910, 2259, 2042, 454, 10831, 540, 2042, 1336, 281, 476, 5655, 454, 16248, 2798, 616, 2016, 281, 589, 11196, 274, 267, 476, 272, 1070, 645, 630, 273, 267, 910, 275, 1070, 595, 630, 274, 267, 476, 274, 264, 513, 264, 4855, 519, 15943, 540, 6906, 13235, 269, 536, 264, 32341, 1018, 1826, 540, 6906, 519, 6906, 13235, 568, 269, 524, 264, 4855, 519, 3259, 540, 519, 27485, 5858, 454, 268, 634, 959, 15635, 730, 454, 763, 959, 15635, 730, 15914, 13409, 814, 13279, 609, 2234, 4512, 678, 272, 815, 476, 279, 4699, 267, 678, 273, 815, 476, 275, 4699, 543, 4463, 642, 815, 476, 276, 4699, 269, 1548, 568, 519, 4320, 540, 519, 13409, 689, 799, 519, 959, 15635, 730, 13409, 12090, 888, 268, 18975, 781, 2070, 454, 5804, 519, 5939, 13486, 781, 2070, 693, 519, 4463, 540, 476, 4792, 544, 267, 519, 1283, 540, 519, 2777, 666, 581, 2938, 693, 513, 3178, 5086, 540, 13672, 815, 476, 3393, 4113, 543, 922, 5377, 693, 513, 3178, 5086, 540, 12498, 815, 476, 6812, 4113, 269, 12433, 519, 4463, 540, 519, 2777, 543, 922, 3845, 689, 519, 5939, 563, 268, 17834, 2098, 278, 1700, 296, 1700, 277, 476, 1708, 272, 454, 1103, 519, 6906, 13235, 267, 1448, 667, 6013, 593, 519, 8028, 2427, 543, 1448, 661, 593, 519, 7460, 2427, 269, 634, 7306, 540, 519, 7285, 9474, 291, 267, 645, 20067, 267, 11404, 292, 543, 14055, 616, 476, 1789, 4113, 267, 476, 2568, 4113, 267, 476, 736, 4113, 543, 476, 1789, 4113, 267, 6606, 269, 4855, 519, 2450, 540, 519, 589, 3633, 5086, 563, 268, 20028, 540, 2798, 454, 288, 2834, 29105, 18158, 13235, 291, 309, 568, 2016, 267, 538, 799, 6316, 9474, 815, 513, 815, 476, 275, 4699, 543, 4463, 642, 815, 476, 279, 4699, 269, 2913, 590, 581, 519, 4099, 540, 519, 22008, 269, 4855, 519, 3845, 540, 2798, 589, 543, 590, 563, 268, 769, 743, 1441, 7077, 454, 763, 1560, 13978, 593, 606, 20916, 7077, 543, 11851, 338, 513, 735, 4809, 3196, 540, 476, 3583, 301, 593, 621, 269, 4855, 519, 5086, 1063, 519, 20916, 7077, 543, 519, 8880, 952, 513, 14965, 3196, 540, 476, 1911, 301, 6411, 593, 519, 1560, 563, 268, 634, 12730, 454, 763, 12730, 13235, 543, 589, 262, 289, 262, 290, 1412, 732, 2147, 609, 513, 16726, 11664, 540, 476, 273, 269, 634, 7285, 540, 519, 6906, 13235, 616, 13672, 815, 476, 3374, 4113, 267, 12498, 815, 476, 4366, 4113, 269, 14419, 519, 3172, 6421, 540, 782, 7285, 540, 6906, 589, 262, 289, 262, 290, 1412, 563, 268, 1323, 20626, 454, 2304, 20626, 7555, 7178, 540, 519, 13486, 12034, 922, 1283, 693, 606, 15820, 5086, 540, 476, 3393, 5232, 269, 2991, 3001, 476, 2004, 7397, 547, 519, 5045, 267, 646, 12034, 922, 1283, 693, 606, 15820, 5086, 540, 476, 1789, 5232, 269, 1215, 7381, 568, 519, 13486, 888, 268, 634, 14692, 454, 763, 14692, 540, 513, 476, 272, 544, 1164, 15393, 16207, 593, 513, 8880, 7077, 568, 476, 271, 269, 279, 544, 1279, 269, 2311, 519, 1482, 942, 267, 519, 14692, 540, 513, 3529, 16207, 593, 513, 8880, 7077, 568, 476, 277, 269, 275, 544, 269, 14419, 519, 4463, 540, 519, 3529, 563, 268, 634, 16403, 2284, 454, 763, 16403, 2284, 5641, 338, 513, 14692, 476, 3393, 7397, 1279, 269, 634, 835, 2173, 2678, 17489, 11425, 7555, 13902, 547, 519, 2666, 814, 513, 14692, 476, 3445, 4699, 1279, 269, 12433, 519, 4463, 540, 519, 16403, 2284, 563, 11321, 4897, 630, 4812, 808, 264, 6013, 538, 519, 6371, 543, 12034, 519, 1283, 540, 519, 17895, 630, 4812, 570, 264, 543, 3297, 621, 519, 1283, 540, 519, 561, 30224, 630, 303, 1040, 1923, 570, 307, 1412, 347, 815, 476, 272, 269, 273, 332, 267, 1923, 26076, 1412, 347, 815, 476, 3607, 332, 267, 1923, 808, 307, 1412, 347, 815, 476, 276, 332, 269, 3057, 4897, 6013, 476, 1428, 7397, 2476, 689, 519, 4262, 630, 300, 1040, 12433, 519, 561, 30224, 3845, 689, 519, 4262, 454, 268, 3004, 19649, 1756, 32377, 454, 2005, 568, 2016, 25671, 1756, 13235, 291, 609, 13279, 1923, 9474, 1923, 815, 476, 1321, 4699, 267, 1923, 7374, 347, 815, 476, 279, 4699, 269, 8672, 590, 568, 519, 10167, 540, 519, 32377, 585, 799, 1923, 3008, 347, 568, 476, 277, 4699, 1279, 269, 12433, 519, 3259, 540, 519, 2407, 15497, 8028, 563, 268, 4144, 6782, 1023, 693, 1318, 5086, 454, 1103, 519, 25671, 1355, 13235, 291, 267, 713, 568, 2016, 281, 9474, 284, 1321, 9492, 7131, 284, 275, 9492, 1656, 32377, 18084, 896, 513, 1318, 5086, 269, 1548, 568, 519, 1858, 540, 713, 25671, 1355, 13235, 291, 888, 268, 631, 770, 14692, 454, 300, 770, 814, 476, 1724, 544, 1279, 14692, 593, 513, 9386, 8375, 689, 519, 15958, 3723, 538, 519, 4287, 540, 519, 14692, 5086, 693, 5086, 476, 1428, 4113, 269, 14419, 519, 4463, 540, 519, 15958, 267, 952, 519, 3141, 1657, 519, 16880, 568, 693, 5086, 476, 3451, 4113, 269, 2422, 519, 1876, 540, 521, 1149, 563, 268, 25351, 9771, 25671, 1355, 454, 763, 13235, 291, 14328, 25671, 1355, 609, 519, 9474, 543, 7131, 13279, 568, 5258, 676, 519, 15497, 8028, 883, 1079, 31164, 14328, 12730, 269, 634, 3259, 540, 519, 15497, 8028, 568, 476, 7830, 9492, 269, 12433, 25671, 1756, 1858, 538, 4699, 4009, 543, 5173, 875, 1082, 15320, 829, 12281, 540, 519, 454, 288, 11281, 15393, 13902, 547, 519, 2666, 25001, 513, 14692, 540, 476, 2412, 4699, 1279, 267, 519, 2777, 25001, 513, 14692, 476, 277, 7397, 1279, 269, 1548, 568, 519, 4463, 540, 519, 2777, 888, 268, 5565, 7285, 454, 763, 12730, 13235, 543, 589, 262, 289, 262, 290, 1412, 732, 2147, 269, 769, 519, 13235, 6906, 267, 519, 1079, 7285, 616, 476, 1839, 4113, 543, 476, 4792, 4113, 269, 11512, 1946, 538, 519, 6906, 589, 262, 289, 262, 290, 1412, 529, 519, 2040, 540, 1079, 7285, 540, 476, 3445, 5232, 563, 268, 9351, 540, 568, 334, 2389, 1905, 454, 8340, 519, 1858, 540, 606, 568, 30801, 25671, 1355, 952, 519, 13080, 540, 922, 13279, 616, 476, 1626, 4699, 543, 476, 1789, 4699, 267, 543, 519, 32377, 616, 13902, 547, 1142, 824, 563, 268, 589, 7911, 454, 288, 7911, 540, 4463, 476, 272, 269, 278, 332, 568, 7555, 476, 1789, 332, 2476, 689, 519, 9206, 560, 3530, 593, 519, 1482, 1377, 2666, 269, 1261, 32625, 602, 519, 5086, 540, 11539, 540, 519, 1283, 540, 9206, 560, 3530, 568, 476, 1789, 5232, 269, 12433, 519, 4463, 540, 9206, 560, 3530, 563, 268, 1744, 20760, 540, 3529, 454, 300, 10098, 6763, 896, 513, 3529, 543, 8384, 922, 14692, 543, 14692, 540, 519, 3529, 269, 631, 10098, 568, 476, 5197, 4699, 7381, 543, 922, 12094, 568, 476, 272, 269, 276, 544, 1279, 269, 634, 14692, 540, 519, 3529, 568, 1614, 2053, 607, 1279, 607, 631, 10098, 781, 14692, 269, 1215, 7381, 568, 519, 3529, 538, 7397, 888, 8450, 849, 938, 25066, 6906, 9498, 269, 5381, 640, 540, 12730, 910, 2259, 2042, 269, 24234, 2259, 2042, 269, 0, 297, 9391, 13752, 9886, 547, 11177, 31403, 267, 948, 5521, 25199, 543, 16313, 17984, 454, 297, 15121, 301, 4306, 2177, 267, 594, 320, 269, 630, 13356, 269, 476, 3066, 267, 476, 1708, 272, 264, 2443, 3627, 8725, 4400, 3427, 568, 1851, 476, 1321, 29268, 1164, 3506, 13752, 1269, 272, 267, 1822, 3542, 13541, 7226, 14828, 689, 519, 9995, 6019, 7690, 267, 799, 786, 581, 1031, 4724, 19620, 519, 31403, 1175, 22236, 540, 519, 1164, 1153, 563, 298, 2643, 320, 31293, 267, 945, 11414, 7350, 267, 18186, 1108, 543, 6673, 2825, 2257, 693, 3627, 8725, 4400, 267, 814, 585, 519, 2250, 5722, 1296, 3366, 519, 30482, 4804, 5113, 1788 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9281, 29052, 7728, 11550, 16165, 4456, 300, 5058, 24315, 4696, 5456, 5960, 454, 29045, 4658, 13242, 454, 15221, 4658, 13242, 454, 13078, 4658, 13242, 454, 28143, 4658, 13242, 454, 275, 4375, 4658, 13242, 454, 19054, 4658, 13242, 454, 10463, 4658, 13242, 454, 19442, 4658, 13242, 454, 26631, 4658, 13242, 454, 288, 17496, 585, 4400, 10955, 281, 476, 279, 15306, 12367, 1744, 14823, 519, 21537, 10176, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 2026, 814, 5949, 609, 3592, 782, 2127, 540, 938, 1272, 267, 2029, 3357, 547, 1689, 11014, 267, 849, 2069, 269, 9861, 835, 540, 519, 1034, 14461, 6080, 538, 2486, 267, 621, 568, 711, 7357, 2653, 585, 519, 2242, 602, 616, 2921, 1747, 547, 1491, 3337, 538, 519, 2110, 610, 5420, 2165, 563, 22860, 9455, 3127, 18225, 454, 9928, 582, 328, 629, 1678, 28132, 16898, 22878, 16635, 18270, 919, 476, 1839, 13012, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 763, 476, 1839, 628, 16683, 7160, 540, 519, 13037, 6212, 593, 5691, 5752, 543, 20827, 1148, 3785, 693, 1857, 5624, 2066, 519, 2749, 563, 7468, 514, 3321, 540, 14691, 19932, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 5425, 5746, 476, 22446, 271, 2090, 1374, 3741, 543, 26336, 540, 5752, 4654, 269, 7756, 26336, 540, 4654, 5330, 547, 3982, 2081, 540, 3206, 827, 1966, 6061, 269, 1280, 1383, 267, 6198, 4654, 630, 7945, 607, 670, 2532, 749, 264, 1445, 3007, 593, 519, 4429, 289, 578, 1684, 514, 21069, 645, 8986, 454, 10574, 13378, 281, 3220, 269, 595, 3559, 548, 22918, 655, 2335, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 1607, 568, 875, 3220, 269, 595, 3559, 548, 22918, 655, 2335, 6257, 1200, 960, 609, 16175, 2139, 8331, 3047, 11287, 1239, 1210, 1930, 2707, 3301, 269, 22918, 655, 2335, 267, 513, 2168, 5836, 19212, 543, 519, 1930, 2257, 1291, 585, 8331, 781, 3047, 3163, 4578, 7010, 630, 2464, 9169, 264, 5358, 2676, 17698, 476, 275, 4792, 270, 276, 4792, 22414, 14691, 19932, 630, 274, 17099, 264, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 272, 269, 272, 281, 10576, 693, 2547, 835, 23243, 8984, 585, 1142, 540, 519, 5752, 26336, 281, 27564, 267, 1843, 15129, 267, 6198, 267, 3616, 541, 894, 270, 8421, 545, 2073, 543, 7097, 532, 4654, 269, 476, 272, 269, 273, 281, 21414, 519, 4123, 26160, 1063, 519, 1114, 26336, 267, 6236, 4429, 9596, 23398, 1234, 5562, 14691, 2201, 2659, 20798, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 11039, 267, 1256, 952, 596, 1810, 1405, 899, 621, 267, 596, 1058, 798, 621, 19037, 267, 1317, 3206, 827, 2042, 689, 1114, 5380, 3267, 21744, 909, 519, 5752, 17565, 585, 20798, 568, 606, 16529, 1788, 4429, 1432, 568, 12229, 5937, 18249, 19554, 286, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 763, 1523, 540, 3301, 20452, 8631, 568, 4742, 5051, 2442, 609, 3301, 20452, 6517, 543, 3301, 20452, 13033, 1818, 519, 3377, 563, 257, 14187, 8943, 26671, 898, 1345, 257, 1656, 4033, 23664, 13895, 808, 10280, 1411, 9701, 333, 1405, 15681, 23126, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 2252, 596, 4941, 547, 2995, 2984, 267, 596, 1131, 723, 6074, 513, 1114, 2619, 538, 1272, 269, 901, 19385, 766, 814, 1256, 4646, 2898, 1007, 26336, 543, 3267, 519, 28919, 540, 519, 5752, 1893, 3294, 563, 300, 19318, 1565, 676, 5542, 538, 3308, 2324, 3965, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 300, 19318, 9542, 15387, 3350, 6111, 936, 519, 10715, 269, 590, 3147, 19631, 3750, 5322, 723, 1044, 1031, 6707, 547, 1353, 519, 6127, 543, 8849, 4493, 540, 9542, 269, 4635, 2623, 958, 13061, 9072, 2676, 763, 5071, 667, 10308, 2742, 281, 5564, 760, 549, 22422, 4635, 5564, 760, 549, 25600, 543, 5564, 603, 15105, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 763, 1483, 1689, 1631, 7133, 519, 11251, 2344, 568, 602, 519, 3498, 3301, 568, 849, 1373, 4280, 547, 2070, 519, 2489, 3483, 16267, 3693, 1210, 513, 6687, 549, 22422, 17565, 865, 602, 3267, 711, 1847, 547, 1022, 32753, 1114, 6189, 563, 290, 258, 262, 338, 23398, 17714, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 8489, 621, 729, 1360, 1454, 827, 9363, 1369, 519, 1843, 15129, 17565, 3267, 2368, 540, 519, 4555, 649, 723, 538, 1114, 8846, 1373, 6273, 676, 6198, 5752, 267, 1519, 998, 4429, 25413, 2264, 2029, 3358, 547, 519, 9757, 6389, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 288, 2603, 540, 3301, 1869, 3096, 519, 1482, 2035, 543, 26336, 607, 476, 2412, 1296, 3516, 543, 2934, 3810, 2930, 5752, 4654, 3267, 972, 616, 1114, 2798, 538, 3301, 1646, 281, 634, 4429, 3725, 19960, 1456, 519, 8433, 5113, 585, 28628, 4518, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 4913, 267, 519, 5046, 268, 866, 6855, 814, 8810, 513, 2101, 18463, 585, 1689, 267, 10511, 23550, 513, 7372, 17565, 6521, 538, 875, 3267, 593, 2230, 13345, 269, 1879, 5752, 513, 2679, 781, 1604, 4429, 291, 1090, 1738, 15448, 10753, 4040, 3683, 932, 760, 5071, 543, 19007, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 15368, 1227, 267, 519, 4540, 5071, 585, 19007, 17565, 786, 991, 547, 3082, 3533, 547, 1450, 930, 32753, 1114, 3255, 547, 4163, 3267, 3684, 1565, 3340, 513, 4123, 1055, 1063, 5752, 6988, 585, 2866, 269, 10251, 267, 609, 2221, 4429, 763, 2160, 543, 519, 3059, 7004, 281, 2250, 267, 1459, 543, 2104, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 763, 2622, 9483, 17072, 1572, 519, 6855, 513, 834, 1706, 611, 10176, 6521, 257, 585, 12621, 543, 9945, 3267, 834, 2171, 723, 267, 594, 1589, 267, 3592, 476, 1428, 2929, 18934, 906, 689, 6267, 540, 936, 476, 1220, 1114, 2477, 602, 4497, 609, 938, 1565, 2833, 2437, 262, 14863, 1372, 4429, 763, 12309, 11545, 454, 23430, 540, 8950, 3163, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 763, 2780, 2257, 1982, 2488, 1053, 609, 513, 3376, 543, 2620, 5748, 538, 3069, 543, 2413, 3301, 543, 8800, 2035, 607, 1134, 607, 12857, 1053, 547, 3875, 5752, 4654, 543, 26336, 3267, 547, 960, 538, 1082, 1114, 2010, 540, 4429, 305, 28970, 3122, 4659, 540, 5303, 454, 19102, 2084, 7746, 1652, 7207, 616, 11319, 6189, 547, 2344, 15657, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 24679, 781, 513, 1114, 17565, 269, 2060, 513, 7746, 1652, 3252, 23829, 8584, 28129, 630, 293, 30962, 264, 5356, 267, 9367, 666, 2328, 3009, 1210, 741, 5172, 5752, 1893, 267, 11766, 543, 2196, 621, 1510, 2348, 547, 4429, 18131, 3401, 281, 1762, 2021, 1058, 29311, 789, 723, 942, 547, 1118, 1434, 5079, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 263, 2005, 781, 827, 875, 264, 938, 4978, 543, 519, 1919, 649, 2995, 6000, 3330, 938, 2212, 1831, 938, 17565, 3267, 979, 543, 798, 513, 5752, 1576, 267, 979, 543, 1451, 875, 547, 3009, 269, 898, 781, 711, 602, 596, 723, 547, 4429, 2414, 24344, 513, 12655, 8892, 585, 1546, 22380, 267, 1284, 10261, 547, 6733, 15332, 21578, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 4407, 713, 1374, 17565, 949, 3100, 3730, 585, 513, 3099, 540, 1114, 3156, 3267, 11731, 593, 21578, 616, 2854, 538, 513, 1164, 1377, 5752, 1893, 971, 607, 3752, 7190, 267, 1480, 6959, 4429, 6701, 12829, 29530, 8750, 338, 634, 8892, 286, 1923, 631, 293, 4856, 1676, 1923, 31368, 6195, 570, 341, 1240, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 290, 301, 6195, 6874, 309, 1240, 814, 1044, 7683, 3048, 908, 609, 1007, 11964, 540, 5752, 602, 2337, 1118, 1870, 811, 4143, 547, 1114, 14218, 4293, 2066, 3127, 269, 3127, 781, 1034, 2111, 1870, 5304, 4429, 305, 1168, 3876, 519, 16390, 538, 519, 3427, 2986, 23539, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 13640, 611, 10176, 6879, 14823, 8906, 616, 1906, 543, 3267, 4437, 5505, 1185, 5156, 602, 1152, 2182, 2914, 1600, 4719, 5752, 1223, 9380, 971, 5730, 5547, 787, 1354, 4332, 269, 590, 1002, 345, 3079, 1336, 602, 519, 4429, 16256, 8648, 7046, 4149, 1830, 5741, 540, 519, 10432, 281, 918, 889, 1168, 31678, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 298, 889, 1168, 31678, 568, 513, 1007, 1930, 21299, 3609, 2599, 17935, 547, 14458, 519, 10073, 540, 3609, 23829, 2275, 1712, 269, 898, 2488, 513, 1305, 540, 918, 21310, 6339, 525, 11426, 8249, 602, 2306, 519, 11268, 540, 4507, 538, 513, 12440, 4443, 563, 290, 4669, 529, 4223, 1127, 15618, 11088, 538, 2052, 10109, 529, 3163, 543, 5303, 18225, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 290, 4669, 529, 4223, 1127, 15278, 814, 3370, 1776, 2376, 538, 519, 9263, 24595, 2930, 4760, 2052, 10109, 529, 3163, 543, 5303, 267, 8720, 519, 2825, 6286, 540, 1648, 4616, 538, 15267, 14713, 563, 3963, 5617, 784, 532, 1772, 634, 1715, 21436, 700, 5819, 1399, 1656, 8422, 18467, 1677, 4980, 10675, 898, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 4263, 519, 4295, 267, 14237, 10362, 568, 827, 8220, 609, 4143, 2950, 693, 519, 2146, 1377, 2864, 982, 519, 1367, 1377, 547, 5397, 2110, 268, 543, 1279, 3856, 6725, 1764, 543, 1871, 563, 19723, 659, 1712, 4056, 1291, 281, 11149, 666, 581, 15777, 267, 855, 9367, 1869, 991, 6632, 530, 6346, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 15371, 621, 781, 513, 1007, 5752, 1893, 267, 513, 1007, 1949, 1604, 267, 610, 513, 1007, 17565, 899, 8708, 3267, 29597, 619, 616, 513, 1114, 1259, 540, 3206, 827, 875, 649, 1020, 3301, 563, 4263, 558, 1227, 8325, 8818, 13087, 16600, 14683, 18286, 1875, 19581, 8684, 3965, 3457, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 4263, 558, 1227, 8325, 17103, 538, 8709, 3541, 20613, 1023, 10636, 739, 23461, 5512, 519, 20185, 540, 16600, 9724, 1875, 19581, 8684, 3965, 3457, 563, 763, 1480, 25700, 30596, 540, 519, 22946, 13933, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 11514, 7539, 949, 711, 2141, 581, 812, 13402, 267, 855, 789, 616, 2141, 15527, 547, 676, 3425, 269, 1703, 781, 513, 2898, 3443, 641, 569, 540, 1983, 543, 22825, 2838, 2221, 547, 4431, 547, 1256, 519, 17646, 5006, 6595, 267, 543, 602, 3085, 1405, 1256, 1331, 519, 2115, 1282, 840, 16162, 2120, 4058, 543, 2022, 16162, 2120, 6051, 563, 20524, 543, 11654, 1007, 20030, 281, 6129, 11619, 1137, 7312, 11422, 6920, 952, 596, 4312, 10272, 713, 3095, 454, 3719, 1287, 594, 5887, 3293, 547, 5842, 551, 4231, 593, 5682, 693, 476, 4350, 277, 3162, 5682, 10003, 267, 543, 1250, 17565, 585, 1018, 27648, 3267, 513, 10093, 585, 11639, 269, 14691, 568, 6035, 593, 513, 3099, 540, 3584, 267, 1519, 4429, 6701, 2228, 5232, 15197, 888, 2026, 811, 543, 811, 11967, 3506, 2709, 2228, 4110, 3292, 267, 2463, 5170, 547, 1332, 269, 3267, 4340, 547, 513, 5619, 267, 476, 10695, 2600, 540, 26933, 2161, 602, 606, 2228, 4110, 568, 607, 23674, 607, 835, 12236, 998, 513, 2757, 13464, 2861, 1982, 563, 4692, 594, 1353, 851, 942, 888, 29973, 569, 267, 851, 6066, 1353, 3322, 10825, 513, 2407, 6066, 2022, 12392, 1576, 936, 513, 3476, 1974, 540, 942, 269, 898, 781, 2356, 3358, 585, 1346, 945, 1616, 547, 3136, 2324, 1247, 4974, 267, 543, 2356, 3322, 22867, 606, 12784, 610, 606, 10543, 1142, 3018, 547, 7390, 5049, 610, 15872, 563, 1432, 1983, 616, 2877, 585, 2228, 1565, 888, 2791, 991, 547, 723, 513, 2596, 1702, 540, 2780, 543, 5769, 1983, 538, 1931, 547, 581, 3811, 538, 606, 2228, 1576, 454, 3674, 2228, 1353, 1434, 610, 3983, 888, 15697, 18375, 568, 513, 1434, 4781, 952, 596, 798, 1434, 942, 2359, 543, 1246, 513, 1134, 5423, 942, 3349, 269, 6333, 621, 607, 513, 1390, 4316, 547, 1451, 811, 543, 1451, 1732, 256, 1306, 649, 782, 917, 4430, 540, 3388, 568, 3983, 269, 18421, 814, 513, 3970, 952, 579, 3257, 621, 538, 3608, 543, 2500, 6073, 269, 0, 347, 2414, 4194, 519, 2479, 2987, 920, 2084, 2825, 10898, 2429, 519, 1158, 267, 519, 1655, 1259, 568, 547, 2333, 519, 3902, 540, 4492, 269, 1548, 568, 707, 6644, 593, 519, 1657, 13429, 286, 2008, 20245, 610, 2067, 10898, 616, 519, 1267, 540, 2168, 3157, 602, 1860, 3425, 1169, 1554, 269, 1306, 519, 946, 540, 4492, 4679, 547, 1832, 909, 609, 2413, 7569, 267, 519, 1158, 568 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4542, 538, 2259, 269, 1809, 1354, 649, 786, 1118, 513, 7503, 540, 476, 4366, 269, 276, 4846, 547, 7273, 649, 616, 2469, 547, 1397, 596, 1776, 1259, 547, 917, 476, 4366, 269, 276, 4846, 547, 875, 1082, 7273, 11207, 4674, 1652, 563, 5194, 1259, 547, 917, 1018, 568, 476, 4366, 269, 276, 11304, 3160, 547, 538, 6550, 568, 547, 946, 476, 4366, 269, 276, 4846, 7273, 9498, 269, 1548, 568, 513, 4846, 547, 18470, 20303, 888, 3519, 591, 614, 568, 606, 3498, 269, 898, 568, 1759, 593, 1101, 4528, 540, 513, 4542, 799, 649, 4951, 596, 1657, 269, 8729, 547, 476, 4366, 269, 276, 4846, 11013, 9498, 596, 666, 3362, 6460, 476, 4366, 269, 276, 4846, 547, 7273, 269, 1411, 1152, 991, 547, 4283, 1297, 540, 13532, 799, 596, 991, 547, 6460, 543, 4945, 2048, 20412, 622, 685, 7735, 269, 634, 1267, 786, 581, 3254, 538, 513, 2034, 563, 3383, 2119, 547, 6460, 476, 4366, 269, 276, 4846, 883, 7273, 1210, 476, 4366, 269, 276, 4846, 5288, 11013, 20303, 269, 1284, 9411, 476, 4366, 269, 276, 607, 606, 2179, 540, 13532, 269, 898, 568, 519, 6364, 281, 476, 4366, 269, 276, 11304, 815, 476, 11793, 269, 280, 2190, 3192, 271, 3583, 6550, 563, 2026, 596, 666, 1294, 267, 938, 476, 4366, 269, 276, 4846, 5288, 7273, 9498, 568, 16022, 563, 3086, 649, 666, 979, 547, 938, 1292, 1888, 910, 875, 547, 6460, 476, 4366, 269, 276, 13532, 547, 6550, 593, 707, 1378, 563, 2171, 786, 1376, 476, 4366, 269, 276, 11304, 11224, 547, 875, 1082, 6550, 9819, 609, 519, 1101, 4528, 540, 513, 4542, 547, 1205, 519, 1034, 2953, 1267, 269, 589, 2656, 12576, 540, 513, 4542, 912, 8649, 870, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 11793, 269, 280, 2190, 3192, 271, 3583, 519, 1267, 538, 6550, 454, 3383, 1018, 723, 596, 798, 547, 917, 875, 1082, 6550, 3160, 547, 476, 4366, 269, 276, 11304, 286, 3807, 9062, 1297, 540, 13532, 267, 713, 942, 476, 4366, 269, 276, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 4010, 476, 11793, 269, 280, 2190, 3192, 271, 3583, 269, 1924, 476, 4366, 269, 276, 11304, 568, 3160, 476, 11793, 269, 280, 2190, 3192, 271, 3583, 563, 2791, 666, 849, 5180, 1055, 713, 1267, 267, 585, 3236, 267, 547, 1079, 8918, 4025, 269, 898, 568, 476, 273, 269, 736, 269, 1924, 476, 4366, 269, 276, 11304, 815, 476, 11793, 269, 10384, 6550, 563, 2005, 568, 1164, 942, 585, 606, 1383, 689, 4948, 1272, 269, 2913, 779, 5173, 476, 4366, 269, 276, 4846, 4154, 538, 6550, 269, 1924, 476, 4366, 269, 276, 4846, 3160, 547, 875, 1082, 7273, 286, 1656, 1586, 910, 9062, 476, 4366, 269, 276, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 3160, 476, 11793, 269, 280, 2190, 3192, 271, 3583, 269, 1924, 6697, 540, 476, 4366, 269, 276, 13532, 547, 6550, 267, 950, 621, 2501, 547, 4154, 267, 568, 3160, 476, 11793, 269, 280, 2190, 3192, 271, 3583, 563, 1103, 713, 2013, 621, 568, 849, 2009, 547, 5180, 1055, 519, 1267, 269, 901, 568, 519, 1267, 1310, 24263, 1055, 267, 538, 713, 2013, 547, 835, 8918, 1747, 910, 476, 4366, 269, 276, 11304, 476, 11793, 269, 3583, 6550, 563, 3086, 649, 616, 2469, 547, 1806, 7229, 1210, 2110, 4542, 563, 6524, 649, 1397, 596, 606, 1383, 910, 513, 2656, 12576, 540, 10156, 4542, 912, 8649, 870, 540, 13532, 2608, 476, 273, 269, 273, 815, 476, 11793, 269, 3583, 519, 1267, 538, 6550, 454, 3383, 476, 4366, 269, 276, 4846, 3160, 547, 875, 1454, 7273, 286, 1656, 1586, 267, 596, 991, 547, 9062, 2179, 540, 11304, 267, 538, 713, 2013, 476, 4366, 269, 276, 267, 676, 476, 273, 269, 273, 269, 2913, 779, 1294, 281, 476, 4366, 269, 276, 2608, 476, 273, 269, 273, 815, 476, 11793, 269, 3583, 269, 1924, 476, 4366, 269, 276, 11304, 568, 3160, 476, 273, 269, 273, 6550, 563, 2710, 1776, 7503, 609, 946, 540, 713, 4528, 540, 513, 4542, 269, 3767, 6460, 1945, 689, 4948, 1272, 267, 585, 1383, 267, 476, 4366, 269, 276, 4846, 547, 7273, 2597, 540, 22229, 563, 3383, 5173, 910, 476, 4366, 269, 276, 11304, 540, 22229, 2608, 476, 273, 269, 273, 815, 476, 11793, 269, 3583, 6550, 540, 22229, 269, 1924, 476, 4366, 269, 276, 4846, 547, 11013, 2527, 568, 4010, 476, 11793, 269, 3583, 563, 2252, 596, 917, 875, 1454, 568, 476, 4366, 269, 276, 11304, 2597, 538, 6550, 543, 666, 5173, 621, 1210, 1079, 1114, 8747, 540, 513, 4542, 267, 649, 666, 1847, 593, 269, 3767, 649, 1616, 547, 1397, 596, 782, 4093, 538, 12125, 563, 2171, 917, 602, 4093, 4843, 538, 7515, 616, 865, 1454, 20501, 585, 1034, 540, 596, 269, 898, 568, 11207, 24669, 267, 865, 649, 10356, 782, 891, 4093, 538, 12125, 585, 707, 13418, 269, 9603, 547, 713, 596, 666, 3533, 5635, 476, 4366, 269, 276, 4846, 6697, 547, 7273, 2164, 563, 24375, 609, 513, 476, 4366, 269, 276, 4846, 11224, 7273, 5750, 585, 519, 1101, 4528, 540, 513, 4542, 912, 347, 298, 559, 9999, 1475, 303, 2432, 1475, 303, 2432, 630, 12898, 24263, 1055, 547, 1079, 8918, 4025, 10245, 4517, 1631, 1577, 779, 1294, 476, 4366, 269, 276, 4846, 3160, 11013, 3349, 585, 519, 2034, 4542, 912, 2026, 596, 666, 1294, 267, 1310, 24263, 1055, 267, 952, 621, 2501, 547, 875, 1454, 476, 4366, 269, 276, 11304, 11224, 6550, 267, 519, 2164, 616, 519, 1482, 269, 634, 8273, 1297, 519, 811, 9645, 3017, 269, 5901, 621, 538, 2247, 950, 596, 991, 547, 1118, 8273, 1297, 982, 476, 4366, 269, 276, 13532, 6550, 7503, 563, 3086, 596, 4121, 875, 547, 6460, 476, 4366, 269, 276, 13532, 875, 1454, 6550, 855, 649, 786, 1397, 596, 1945, 811, 269, 1684, 596, 1616, 547, 917, 1018, 621, 568, 286, 1548, 827, 476, 4366, 269, 276, 11304, 547, 6550, 543, 13728, 9819, 888, 2171, 786, 1397, 596, 875, 596, 666, 5173, 621, 1900, 676, 1900, 269, 10670, 269, 1215, 1454, 568, 476, 4366, 269, 276, 4846, 538, 7273, 543, 12063, 888, 5575, 1919, 1101, 910, 596, 991, 547, 9062, 1297, 540, 13532, 267, 713, 942, 476, 4366, 269, 276, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 1924, 476, 4366, 269, 276, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 11793, 269, 280, 2190, 3192, 271, 3583, 269, 2290, 11304, 568, 4010, 476, 273, 269, 14225, 25118, 7830, 6550, 563, 763, 8870, 851, 568, 1297, 540, 6550, 269, 1924, 538, 713, 2013, 972, 616, 476, 273, 6550, 563, 2414, 6460, 875, 1454, 476, 4366, 269, 276, 11304, 568, 3160, 547, 6550, 543, 13728, 596, 991, 547, 9062, 6824, 851, 676, 476, 1626, 269, 1924, 9062, 476, 14225, 25118, 7830, 676, 476, 1626, 269, 898, 568, 476, 27628, 31256, 4572, 13728, 563, 3383, 3803, 6364, 568, 476, 273, 6550, 543, 476, 27628, 31256, 4572, 13728, 269, 1411, 666, 849, 5180, 1055, 13728, 267, 585, 3236, 267, 547, 1079, 4025, 269, 3973, 707, 6364, 568, 3160, 476, 273, 6550, 543, 476, 3451, 13728, 563, 2026, 596, 666, 1294, 267, 9819, 476, 4366, 269, 276, 11304, 538, 6550, 543, 13728, 3833, 3274, 563, 763, 2063, 7503, 799, 649, 616, 2469, 547, 1397, 596, 568, 9819, 540, 476, 4366, 269, 276, 3723, 6550, 547, 13532, 7397, 269, 5637, 540, 873, 616, 4559, 540, 960, 563, 2414, 5173, 621, 621, 568, 2877, 1776, 4542, 269, 6969, 649, 1397, 596, 713, 4542, 267, 723, 513, 1413, 912, 3086, 1577, 779, 1294, 513, 4542, 912, 8649, 870, 10611, 24655, 292, 2211, 28829, 540, 3723, 6550, 2608, 476, 271, 269, 15946, 22724, 4817, 815, 519, 6364, 538, 13532, 7397, 454, 3383, 547, 6460, 476, 4366, 269, 276, 3723, 6550, 547, 13532, 7397, 596, 723, 547, 9062, 476, 4366, 269, 276, 676, 476, 271, 269, 15946, 22724, 4817, 269, 898, 568, 476, 271, 269, 15946, 22724, 4817, 269, 1924, 476, 4366, 269, 276, 3723, 6550, 568, 4010, 476, 271, 269, 15946, 22724, 4817, 11304, 7397, 563, 2005, 568, 849, 2009, 547, 5180, 1055, 713, 1267, 267, 585, 1383, 267, 547, 1079, 8918, 4025, 269, 3973, 476, 4366, 269, 276, 3723, 6550, 568, 476, 271, 269, 1691, 11304, 7397, 563, 2171, 4126, 602, 713, 9819, 729, 607, 2653, 607, 476, 4366, 269, 276, 11304, 883, 6550, 24740, 563, 1607, 2376, 568, 513, 2462, 735, 754, 1756, 827, 11304, 267, 11013, 543, 476, 4366, 269, 276, 4846, 547, 7273, 538, 7503, 269, 8729, 547, 713, 9819, 596, 4121, 476, 4366, 269, 276, 11304, 568, 6697, 547, 875, 1082, 6550, 563, 2171, 4951, 596, 711, 1152, 875, 547, 798, 513, 9819, 476, 4366, 269, 276, 11304, 547, 11973, 6550, 855, 849, 1079, 1776, 24740, 910, 547, 917, 875, 1082, 476, 4366, 269, 276, 4846, 538, 6550, 543, 13728, 543, 875, 1082, 476, 4366, 269, 276, 3723, 6550, 547, 13532, 7397, 563, 2171, 4951, 596, 849, 1776, 1259, 547, 798, 476, 4366, 269, 276, 11304, 875, 1082, 6550, 24740, 267, 621, 568, 609, 946, 540, 476, 4366, 269, 276, 4846, 679, 11013, 20303, 269, 898, 568, 519, 1655, 3903, 585, 1346, 540, 596, 945, 798, 711, 899, 14291, 593, 707, 1378, 693, 782, 610, 991, 547, 1118, 7711, 19668, 8649, 870, 18360, 4846, 875, 7273, 9273, 538, 18334, 1259, 563, 2171, 4126, 602, 1631, 782, 540, 596, 616, 2111, 547, 1118, 476, 4366, 269, 276, 11304, 3160, 547, 875, 1082, 6550, 9819, 910, 593, 707, 1378, 610, 1210, 938, 476, 4366, 269, 276, 4846, 338, 547, 6550, 20303, 563, 10673, 1406, 7227, 256, 12433, 476, 4366, 269, 276, 11304, 2527, 547, 6550, 538, 519, 1655, 1259, 585, 596, 563, 2710, 596, 991, 547, 1118, 824, 982, 476, 4366, 269, 276, 11304, 607, 6550, 7503, 286, 1280, 3236, 267, 585, 476, 1428, 13532, 286, 6744, 938, 824, 4930, 256, 1284, 10018, 602, 9273, 585, 824, 5666, 540, 13532, 616, 865, 3274, 607, 585, 476, 4366, 269, 276, 11304, 3160, 1082, 6550, 563, 4263, 519, 1439, 267, 649, 616, 2469, 547, 17412, 519, 1888, 540, 713, 2376, 267, 602, 568, 875, 1454, 568, 476, 4366, 269, 276, 4846, 538, 6550, 2073, 649, 5423, 835, 811, 3296, 269, 3371, 596, 666, 1294, 782, 596, 991, 547, 3314, 827, 875, 1454, 568, 476, 4366, 269, 276, 4846, 3160, 547, 7273, 543, 875, 547, 6460, 476, 4366, 269, 276, 4846, 547, 7273, 1547, 2913, 779, 1294, 563, 1692, 1281, 519, 11304, 547, 11013, 7503, 1413, 286, 634, 7503, 4846, 547, 18470, 568, 1175, 14921, 476, 273, 2338, 269, 2913, 779, 1294, 476, 4366, 269, 276, 4846, 547, 11013, 7503, 4542, 1547, 5620, 513, 1413, 912, 763, 1297, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 1267, 538, 6550, 454, 8450, 519, 1267, 540, 519, 7503, 540, 476, 4366, 269, 276, 11304, 547, 6550, 269, 634, 2953, 2626, 568, 476, 11793, 269, 280, 2190, 3192, 271, 3583, 18470, 563, 2791, 666, 849, 5173, 875, 1454, 476, 4366, 269, 276, 11304, 568, 3160, 547, 6550, 609, 1776, 267, 27571, 4528, 540, 519, 4542, 269, 6744, 621, 1524, 2630, 563, 763, 1297, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 1267, 538, 6550, 454, 3383, 1631, 267, 476, 4366, 269, 276, 4846, 3160, 547, 875, 1454, 7273, 7790, 634, 2626, 568, 476, 11793, 269, 280, 2190, 3192, 271, 3583, 6550, 563, 1692, 547, 6460, 476, 4366, 269, 276, 4846, 547, 7273, 538, 1175, 513, 4090, 286, 898, 568, 2009, 547, 946, 519, 476, 4366, 269, 276, 4846, 547, 7273, 20303, 2073, 799, 786, 1118, 519, 1964, 585, 596, 543, 2285, 596, 513, 2953, 1267, 4586, 347, 4366, 269, 4905, 4846, 547, 7273, 10227, 10755, 269, 279, 6246, 11152, 2008, 347, 4366, 269, 6349, 4846, 547, 7273, 10227, 10755, 269, 279, 4792, 7176, 2008, 347, 4366, 269, 6734, 4846, 547, 7273, 10227, 10755, 269, 31229, 6349, 2008, 347, 4366, 269, 6860, 4846, 547, 7273, 10227, 10755, 269, 280, 1015, 5881, 2008, 347, 4366, 269, 4962, 4846, 547, 7273, 10227, 10755, 269, 280, 3953, 1321, 2008, 347, 4366, 269, 6187, 4846, 547, 7273, 10227, 10755, 269, 4817, 275, 1626, 2008, 347, 4366, 269, 5881, 4846, 547, 7273, 10227, 10755, 269, 9032, 277, 2641, 2008, 347, 4366, 269, 5400, 4846, 547, 7273, 10227, 10755, 269, 4200, 279, 2918, 2008, 347, 4366, 269, 6021, 4846, 547, 7273, 10227, 11793, 269, 22903, 1789, 2008, 347, 4366, 269, 272, 4846, 547, 7273, 10227, 11793, 269, 271, 5655 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8702, 547, 938, 3992, 827, 875, 4031, 948, 1004, 8207, 22195, 256, 5620, 596, 2479, 1185, 513, 4339, 609, 707, 3659, 936, 4171, 11442, 621, 2731, 729, 286, 9320, 596, 4312, 11130, 609, 513, 24107, 827, 945, 4991, 547, 4584, 519, 7641, 1397, 9522, 697, 269, 1879, 649, 723, 7526, 899, 891, 267, 3006, 649, 991, 2576, 3116, 547, 1900, 538, 543, 948, 721, 1265, 513, 3070, 602, 1568, 585, 3025, 269, 2334, 781, 1018, 4031, 543, 10470, 616, 585, 1932, 2439, 1103, 713, 3184, 267, 649, 786, 1451, 827, 1945, 1572, 834, 763, 6406, 26488, 8943, 1701, 901, 3009, 6645, 721, 875, 547, 946, 519, 1876, 950, 972, 568, 513, 15539, 1063, 1079, 1004, 610, 3906, 602, 3085, 1405, 4125, 8840, 1022, 7803, 3652, 269, 5502, 267, 621, 814, 547, 798, 609, 1919, 899, 11731, 267, 3959, 267, 22440, 267, 610, 824, 1271, 6927, 1141, 4079, 1522, 991, 930, 3063, 5583, 780, 5575, 267, 1577, 781, 2911, 827, 930, 2596, 2474, 596, 991, 547, 917, 1384, 265, 2878, 13356, 872, 5093, 589, 3375, 1500, 676, 513, 9794, 538, 5480, 563, 265, 2878, 297, 644, 8540, 5093, 5381, 547, 31885, 855, 2356, 4016, 547, 519, 3803, 6364, 540, 513, 2898, 27779, 563, 265, 2878, 24576, 5093, 1323, 6044, 2016, 676, 513, 9794, 1282, 513, 3656, 1184, 563, 265, 2878, 20288, 793, 7040, 32434, 644, 8540, 5093, 1452, 3277, 547, 2665, 8345, 3544, 540, 3127, 610, 5947, 902, 1500, 676, 16488, 538, 1776, 2197, 563, 265, 2878, 24464, 4515, 1080, 5093, 14559, 12236, 24648, 958, 610, 15490, 569, 799, 666, 581, 10645, 1394, 998, 513, 2027, 2186, 540, 27779, 563, 265, 2878, 288, 742, 573, 822, 527, 5093, 589, 2854, 9153, 9896, 896, 522, 987, 30418, 602, 1344, 3177, 568, 3020, 563, 265, 2878, 306, 3726, 540, 513, 3540, 2470, 5093, 7102, 3656, 2962, 3323, 1317, 540, 513, 24895, 602, 3884, 1405, 827, 10963, 1373, 8149, 563, 265, 2878, 5522, 5593, 5093, 634, 1101, 3561, 19429, 538, 513, 27779, 4358, 519, 2898, 1184, 7713, 1946, 789, 1589, 789, 1058, 3094, 563, 265, 2878, 24309, 15048, 5093, 1548, 519, 824, 5428, 11339, 1524, 607, 741, 3210, 547, 519, 27674, 1310, 8391, 621, 563, 265, 2878, 299, 20235, 11724, 894, 5093, 25126, 17101, 547, 957, 593, 15773, 540, 2576, 3116, 538, 3656, 6927, 1107, 1419, 513, 1920, 4759, 952, 519, 3312, 1268, 814, 5293, 2476, 563, 265, 2878, 4910, 1016, 4140, 823, 5093, 31283, 1412, 1492, 2339, 568, 2907, 538, 5480, 9538, 4495, 513, 2013, 5956, 267, 1100, 835, 3116, 666, 1376, 513, 1007, 2013, 1759, 593, 519, 1482, 5013, 563, 265, 2878, 4910, 4140, 545, 1092, 5093, 4676, 619, 547, 3664, 1500, 538, 2250, 2665, 282, 2899, 4956, 267, 1346, 2152, 3112, 581, 20460, 1243, 1586, 538, 2104, 4031, 7057, 563, 265, 2878, 290, 712, 1206, 5093, 7981, 4025, 1141, 8036, 4648, 1572, 16488, 6432, 547, 7440, 4843, 676, 1312, 5011, 543, 1287, 6430, 1018, 1058, 4755, 1985, 2687, 547, 519, 1876, 780, 3086, 4952, 596, 1616, 547, 1376, 513, 27779, 269, 7316, 1131, 596, 979, 286, 1215, 1131, 596, 1256, 2253, 286, 5213, 1405, 5855, 267, 972, 616, 5773, 1305, 856, 538, 519, 6406, 26488, 8943, 547, 3391, 596, 1169, 1900, 540, 519, 1259, 269, 2913, 781, 1413, 693, 873, 1631, 1384, 272, 269, 2878, 297, 9766, 323, 2109, 543, 9255, 540, 2672, 532, 5093, 6969, 25937, 513, 2013, 267, 596, 1590, 4137, 856, 2436, 519, 5480, 596, 8359, 814, 519, 1379, 547, 6023, 971, 13882, 269, 4746, 267, 3313, 1141, 4010, 1369, 922, 8513, 519, 2013, 949, 8399, 563, 273, 269, 2878, 9743, 3191, 540, 2672, 527, 5093, 18786, 513, 27779, 3322, 8600, 2556, 1957, 1740, 267, 9878, 2838, 12375, 267, 26446, 3388, 13166, 547, 519, 3617, 5480, 563, 274, 269, 2878, 303, 18490, 5093, 5675, 1524, 782, 4143, 3877, 3823, 519, 4655, 1519, 6811, 267, 23640, 267, 8323, 8179, 3092, 1421, 1739, 1978, 2489, 3741, 543, 3652, 269, 13536, 5933, 1450, 993, 2056, 5418, 611, 902, 952, 2877, 563, 275, 269, 2878, 8512, 625, 547, 513, 2672, 527, 5093, 10576, 945, 781, 3238, 269, 5637, 5011, 991, 547, 1174, 945, 789, 2811, 909, 1996, 610, 5885, 563, 276, 269, 2878, 291, 18752, 267, 6184, 18936, 543, 13870, 540, 26671, 5093, 4438, 7041, 267, 1142, 2427, 8843, 2963, 789, 1544, 547, 946, 865, 9444, 4991, 14281, 1282, 4693, 269, 1358, 849, 1205, 4960, 547, 4983, 2168, 3688, 5702, 4448, 547, 519, 2013, 563, 277, 269, 2878, 7343, 30970, 543, 6348, 5025, 653, 30970, 540, 3487, 625, 5093, 5272, 7853, 2115, 547, 2995, 519, 5480, 789, 3513, 7119, 269, 1403, 2576, 5337, 2803, 713, 10421, 267, 3983, 1919, 1223, 4755, 547, 873, 2663, 2336, 278, 269, 2878, 5575, 24651, 5093, 7053, 256, 15526, 10742, 3068, 3562, 19904, 1354, 513, 9794, 269, 3962, 2427, 6799, 6679, 6898, 267, 2055, 22168, 267, 13187, 2798, 540, 1876, 267, 543, 13668, 4093, 780, 9961, 713, 17890, 1184, 267, 10151, 3800, 1634, 607, 954, 574, 9753, 666, 581, 16761, 269, 1280, 3236, 267, 16171, 7221, 2394, 9562, 568, 5462, 267, 10300, 1154, 5739, 2238, 2394, 6571, 267, 694, 1944, 3959, 17303, 267, 6966, 532, 2256, 1392, 547, 4383, 4213, 538, 24187, 267, 14053, 19736, 585, 1761, 9271, 267, 3092, 269, 2353, 891, 2832, 547, 2226, 14619, 1247, 7996, 585, 3803, 2357, 18743, 338, 780, 8170, 1576, 267, 2469, 547, 5480, 12582, 1405, 2141, 581, 519, 1101, 4781, 269, 1703, 616, 4244, 2081, 547, 4194, 13882, 25678, 269, 2290, 2442, 1505, 1851, 873, 568, 598, 16624, 269, 6145, 25019, 267, 598, 16624, 6770, 1927, 15852, 6105, 5280, 676, 9243, 3791, 7606, 1572, 598, 4290, 328, 2209, 269, 9521, 18657, 2209, 1498, 267, 598, 4290, 328, 2209, 2303, 2009, 3435, 3079, 540, 8806, 14123, 5717, 269, 2755, 1447, 6101, 982, 8062, 267, 11650, 6603, 1869, 3180, 3656, 2597, 1818, 873, 3407, 3681, 4502, 6236, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 306, 312, 17247, 5723, 4785, 26993, 11065, 630, 295, 2177, 306, 4700, 476, 278, 8025, 590, 4932, 2464, 9898, 2910, 14701, 5508, 595, 4353, 6579, 11550, 290, 3633, 13543, 1299, 32045, 5508, 700, 8379, 3951, 9569, 910, 296, 4985, 2433, 9502, 2433, 5463, 872, 267, 7225, 8540, 267, 11352, 267, 14579, 7040, 267, 14579, 7225, 8540, 267, 9093, 4515, 1080, 267, 10500, 573, 822, 527, 267, 2672, 527, 540, 513, 3540, 2470, 267, 1773, 5593, 267, 18838, 15048, 267, 13751, 11724, 894, 267, 12830, 16610, 2433, 1763, 28175, 268, 3286, 823, 267, 1763, 9080, 545, 1092, 267, 29190, 520, 267, 769, 6254, 5295, 267, 30271, 269, 19461, 17778, 538, 513, 2672, 527, 2433, 808, 9766, 323, 2109, 543, 1747, 540, 647, 532, 267, 26323, 540, 9290, 267, 623, 18490, 2433, 12791, 267, 8629, 267, 4937, 16390, 267, 14821, 540, 623, 18490, 267, 1773, 5593, 543, 18838, 3948, 267, 3487, 625, 547, 513, 9290, 267, 20570, 267, 6184, 18936, 543, 13870, 540, 6054, 267, 2561, 30970, 543, 1875, 22190, 30970, 540, 6105, 267, 3689, 6217, 269, 5149, 268, 7656, 3955, 574, 2107, 10249, 2433, 8189, 267, 10654, 1354, 10385, 267, 5900, 16670, 1354, 21520, 267, 570, 3637, 20070, 17313, 267, 3955, 32643, 21881, 11352, 267, 25547, 1853, 267, 8232, 540, 3790, 269, 2672, 527, 538, 3487, 7781, 2013, 2433, 2672, 1080, 676, 610, 1996, 6554, 267, 2672, 1080, 676, 30724, 550, 1268, 267, 3955, 268, 921, 14575, 2672, 527, 267, 12834, 26488, 267, 2672, 1080, 11341, 547, 5398, 715, 7572, 766, 563, 272, 269, 634, 6406, 26488, 8943, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 20010, 2598, 335, 1393, 22375, 1315, 1230, 16624, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 1012, 12430, 22953, 609, 27240, 1304, 2677, 1417, 692, 30791, 9695, 568, 513, 4909, 1523, 538, 3684, 1565, 267, 1031, 547, 2203, 519, 2078, 1063, 1079, 610, 811, 4632, 269, 769, 713, 3296, 267, 649, 786, 2263, 5276, 9695, 1210, 13506, 16350, 267, 513, 2442, 11938, 5690, 780, 2162, 12430, 22953, 692, 30791, 9695, 568, 513, 8579, 1505, 1031, 547, 3313, 519, 5276, 2078, 1063, 513, 8200, 4756, 630, 344, 264, 543, 835, 610, 811, 4830, 4632, 630, 343, 1040, 634, 3804, 568, 547, 1265, 519, 1655, 1922, 527, 1899, 602, 24024, 519, 3845, 1063, 519, 4767, 6114, 538, 519, 10471, 543, 1346, 10567, 676, 519, 5276, 19406, 780, 763, 2489, 3830, 585, 513, 5276, 9695, 2203, 609, 1079, 2934, 568, 1384, 2330, 586, 815, 530, 318, 271, 1341, 530, 318, 272, 343, 318, 272, 1341, 530, 318, 273, 343, 318, 273, 3230, 692, 3602, 1269, 342, 318, 271, 259, 568, 519, 9186, 2165, 267, 1269, 342, 318, 272, 259, 543, 1269, 342, 318, 273, 259, 616, 519, 12035, 585, 519, 2934, 1269, 343, 318, 272, 259, 543, 1269, 343, 318, 273, 259, 6606, 780, 2162, 27240, 1304, 2677, 1417, 692, 294, 2784, 1304, 16350, 568, 606, 11938, 5690, 1031, 547, 1265, 519, 2418, 540, 519, 6724, 630, 30135, 543, 9186, 264, 602, 7413, 513, 2016, 1599, 267, 1634, 607, 519, 1942, 1599, 269, 634, 1942, 1599, 3800, 519, 5470, 1063, 519, 10567, 543, 4890, 2418, 780, 763, 13506, 16350, 5690, 12055, 8271, 10311, 519, 6724, 538, 519, 6587, 4287, 540, 519, 13506, 540, 519, 1942, 1599, 609, 2463, 547, 519, 6724, 269, 901, 568, 2944, 1210, 519, 1739, 9337, 4341, 1384, 2330, 530, 815, 530, 910, 1422, 10401, 1422, 2765, 3189, 14783, 808, 26028, 264, 7346, 14783, 530, 348, 3230, 692, 3602, 1269, 342, 259, 568, 519, 9936, 6152, 267, 4399, 10401, 259, 568, 519, 1565, 2557, 267, 543, 4399, 2765, 3189, 14783, 808, 26028, 264, 7346, 14783, 530, 4151, 568, 519, 13506, 540, 519, 1942, 1599, 1269, 297, 26028, 7751, 609, 2463, 547, 519, 9936, 6152, 1269, 342, 16859, 2162, 20074, 27240, 1304, 2677, 1417, 585, 12430, 22953, 692, 4131, 781, 2936, 13506, 16350, 585, 5276, 9695, 538, 5124, 269, 1284, 786, 1376, 676, 10747, 519, 1942, 1599, 543, 922, 13506, 780, 763, 1942, 1599, 585, 5276, 9695, 568, 519, 1611, 16302, 5470, 630, 5960, 292, 264, 1063, 519, 10567, 543, 4890, 2418, 1384, 2330, 808, 26028, 264, 815, 1422, 2765, 346, 272, 2410, 273, 332, 348, 1422, 8999, 3709, 328, 284, 272, 8703, 332, 348, 630, 344, 10983, 910, 1422, 1002, 26635, 10983, 348, 8203, 273, 3230, 692, 3602, 1269, 332, 259, 568, 519, 1297, 540, 8320, 267, 1269, 344, 10983, 259, 568, 519, 4890, 1871, 585, 519, 1269, 328, 27572, 628, 3236, 267, 543, 4399, 1002, 26635, 10983, 4151, 568, 519, 10567, 1871, 585, 519, 1269, 328, 27572, 628, 3236, 780, 763, 13506, 540, 519, 1942, 1599, 609, 2463, 547, 519, 12035, 568, 1384, 2330, 1422, 2765, 3189, 14783, 808, 26028, 264, 7346, 14783, 530, 348, 815, 28363, 2765, 346, 272, 2410, 332, 348, 1422, 8999, 3709, 328, 284, 272, 8703, 332, 348, 630, 344, 10983, 910, 1422, 1002, 26635, 10983, 16585, 1535, 10983, 3230, 692, 3602, 1269, 343, 10983, 259, 568, 519, 4183, 6152, 585, 519, 1269, 328, 27572, 628, 3236, 780, 4131, 781, 2936, 891, 3252, 538, 5124, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 692, 3698, 12337, 6831, 739, 11583, 267, 962, 267, 530, 2187, 825, 544, 815, 2473, 17482, 314, 271, 2639, 825, 808, 815, 476, 272, 14370, 273, 265, 332, 264, 2608, 5286, 27904, 9230, 312, 910, 2473, 31715, 26028, 4297, 1262, 273, 994, 825, 2132, 808, 692, 3698, 12337, 14682, 2784, 11583, 267, 962, 267, 530, 2187, 825, 544, 815, 2473, 17482, 314, 271, 2639, 825, 5552, 815, 910, 272, 8276, 2608, 2473, 11053, 31715, 263, 312, 910, 2473, 31715, 26028, 4917, 825, 2132, 5552, 454, 7884, 3086, 267, 1577, 781, 2936, 519, 13506, 16350, 5690, 1384, 3499, 7090, 454, 3698, 13506, 5091, 27853, 11583, 267, 962, 267, 13672, 267, 562, 318, 788, 5255, 2187, 825, 544, 267, 562, 815, 2473, 17482, 454, 825, 530, 815, 5286, 25910, 9230, 333, 267, 476, 272, 11723, 825 ]

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

[ 676, 519, 1353, 286, 1684, 596, 3858, 270, 4134, 698, 872, 609, 519, 4681, 286, 1548, 616, 519, 6286, 540, 519, 1353, 286, 1411, 1058, 1374, 622, 713, 3296, 607, 519, 2079, 3296, 676, 1210, 513, 16144, 585, 5811, 14727, 761, 1664, 454, 268, 18049, 270, 5882, 630, 276, 2798, 2567, 2659, 1957, 1058, 581, 2312, 267, 17396, 267, 543, 6896, 269, 2659, 1957, 1058, 581, 5402, 6169, 1348, 585, 10259, 543, 8239, 6959, 563, 268, 14905, 2511, 630, 273, 269, 276, 2798, 2567, 2659, 1957, 1058, 946, 14905, 2511, 585, 707, 538, 17856, 14327, 543, 585, 707, 4704, 11239, 269, 6423, 1657, 5409, 31904, 585, 948, 593, 14905, 2511, 269, 0, 299, 9734, 327, 753, 2281, 630, 9448, 338, 264, 723, 1044, 519, 1641, 540, 1454, 1382, 2094, 741, 6602, 538, 476, 5908, 279, 269, 700, 12336, 4866, 547, 519, 15410, 540, 682, 1075, 14231, 1572, 27765, 26578, 2281, 269, 1358, 616, 1459, 538, 519, 28603, 529, 543, 519, 7796, 846, 321, 17675, 17102, 543, 6895, 519, 2759, 10389, 1604, 585, 2242, 538, 27921, 269, 4438, 11616, 14003, 267, 513, 5951, 540, 586, 13083, 5485, 31457, 6079, 519, 19341, 2960, 269, 3973, 267, 19341, 6797, 1395, 14231, 7361, 5372, 519, 586, 13083, 5485, 31457, 543, 17663, 519, 5354, 540, 2937, 700, 12336, 269, 769, 519, 4527, 540, 2960, 16698, 267, 700, 12336, 1184, 18970, 543, 2951, 547, 6237, 9726, 9136, 547, 1459, 18970, 547, 19535, 570, 9726, 14231, 269, 15448, 538, 700, 12336, 262, 2627, 12508, 1282, 519, 3460, 2049, 896, 519, 3310, 540, 29299, 269, 634, 3017, 538, 4082, 540, 2627, 12508, 543, 519, 2702, 547, 5706, 5982, 723, 4847, 3173, 547, 16174, 700, 12336, 689, 519, 9597, 710, 700, 9734, 514, 25698, 546, 1069, 531, 27765, 26578, 2281, 269, 19196, 1746, 8906, 723, 1044, 1500, 5063, 3823, 741, 1909, 538, 12982, 2960, 3676, 267, 2860, 543, 7486, 269, 1715, 1382, 814, 3254, 602, 12489, 17527, 7131, 272, 320, 2408, 547, 11574, 6553, 538, 3346, 28810, 27383, 6547, 543, 27728, 269, 2755, 621, 814, 1044, 3964, 602, 700, 12336, 723, 519, 1761, 547, 16578, 1198, 528, 2281, 540, 519, 13261, 4761, 1062, 547, 4831, 32346, 14003, 267, 2487, 2090, 723, 7152, 602, 700, 12336, 11282, 609, 2067, 20740, 2281, 547, 10556, 1646, 540, 2695, 13904, 1591, 26217, 3361, 676, 3114, 15910, 11077, 269, 1717, 267, 700, 12336, 949, 849, 28772, 10999, 16401, 570, 2281, 543, 11863, 23128, 11294, 22889, 7004, 543, 10510, 3394, 8412, 269, 4014, 1279, 1634, 547, 1404, 513, 3119, 1909, 538, 519, 11144, 540, 7486, 3968, 267, 621, 568, 1631, 6956, 602, 700, 12336, 849, 4865, 519, 2702, 547, 6615, 519, 11144, 540, 519, 2068, 269, 1703, 568, 513, 10296, 991, 547, 3605, 811, 827, 875, 891, 2281, 1860, 1585, 3344, 540, 1072, 543, 2068, 282, 1007, 1344, 10356, 3976, 2484, 4667, 9621, 543, 3078, 563, 31871, 540, 3817, 1475, 279, 2008, 347, 22711, 1475, 22711, 540, 519, 3864, 9142, 540, 32536, 1108, 543, 10469, 699, 1108, 2008, 347, 13750, 1475, 13775, 910, 8734, 476, 1001, 278, 347, 0, 763, 4054, 538, 707, 13452, 666, 3142, 1082, 2640, 1519, 267, 2810, 707, 3959, 1871, 585, 1296, 547, 2097, 267, 865, 621, 779, 1271, 547, 1521, 873, 1318, 256, 9737, 26221, 267, 3905, 5712, 267, 543, 519, 3819, 4365, 602, 5162, 666, 3142, 267, 621, 779, 1271, 547, 2259, 5100, 3529, 1416, 676, 9363, 593, 1283, 540, 707, 3529, 779, 1216, 2157, 269, 898, 5673, 593, 799, 2249, 540, 4054, 596, 723, 267, 855, 930, 666, 1491, 9170, 689, 476, 2412, 547, 476, 1911, 1296, 547, 9921, 1107, 1818, 873, 513, 1279, 3856, 5092, 602, 2115, 6297, 512, 2056, 547, 269, 3371, 779, 875, 547, 1216, 707, 4054, 607, 851, 540, 513, 1697, 3529, 1416, 20786, 563, 13425, 2659, 19029, 685, 4826, 20946, 454, 2414, 15378, 2436, 513, 3529, 2115, 547, 581, 530, 23926, 267, 2638, 519, 3037, 4478, 621, 676, 11093, 707, 9416, 883, 519, 2666, 547, 1294, 952, 621, 7959, 3819, 610, 2182, 269, 1403, 865, 267, 621, 779, 942, 547, 1216, 256, 1403, 519, 3037, 814, 1869, 17477, 930, 7509, 267, 581, 2386, 547, 2638, 1394, 1169, 3018, 610, 865, 543, 1039, 1216, 607, 2556, 563, 12850, 2659, 19029, 4635, 519, 9406, 9828, 454, 2252, 596, 4076, 13761, 519, 3037, 543, 5462, 513, 3529, 2115, 1216, 267, 972, 616, 1101, 930, 1919, 547, 1832, 538, 2247, 269, 1879, 621, 2501, 547, 3529, 1072, 267, 936, 21226, 532, 666, 581, 1175, 607, 3983, 607, 896, 21226, 532, 267, 585, 1383, 269, 3371, 616, 4388, 585, 875, 547, 1216, 4054, 5265, 912, 12850, 1447, 4749, 1107, 21278, 513, 3529, 609, 3677, 5666, 540, 1216, 2899, 829, 3018, 11148, 547, 3895, 1732, 2208, 982, 14450, 811, 4749, 693, 4130, 5666, 269, 2913, 519, 25652, 2196, 26815, 585, 476, 276, 268, 1015, 3764, 547, 3132, 519, 476, 1015, 17529, 540, 1216, 2877, 269, 1411, 666, 849, 798, 713, 609, 513, 20057, 2401, 563, 12850, 519, 5072, 1107, 10326, 5072, 10110, 1216, 883, 519, 3529, 267, 865, 2057, 27830, 1216, 593, 519, 3762, 540, 519, 2030, 563, 12850, 532, 538, 519, 2887, 1107, 12096, 568, 950, 596, 1058, 1376, 3206, 827, 3529, 18309, 607, 1134, 607, 2799, 14450, 547, 5965, 4054, 585, 5162, 676, 4758, 873, 2635, 3597, 1949, 1282, 713, 3819, 942, 540, 1032, 563, 16605, 19029, 13245, 3414, 667, 893, 1206, 454, 303, 1503, 784, 539, 26221, 666, 14020, 4054, 267, 6028, 873, 11630, 547, 11641, 28383, 543, 4666, 17873, 602, 2154, 8851, 269, 631, 1155, 4054, 666, 1491, 1296, 547, 5372, 267, 1247, 588, 7927, 2451, 3297, 1711, 3750, 27940, 637, 602, 1419, 2154, 8860, 585, 8851, 269, 1924, 952, 596, 2461, 3843, 547, 4225, 1141, 547, 946, 1216, 538, 513, 10980, 267, 707, 4054, 1058, 581, 1164, 593, 519, 1592, 563, 21930, 10326, 5516, 454, 21930, 4054, 616, 1869, 3395, 543, 2154, 3063, 1416, 547, 8853, 269, 15223, 31958, 1058, 581, 530, 23926, 609, 476, 276, 268, 1428, 17529, 540, 1216, 12353, 689, 519, 1974, 1063, 4989, 547, 5239, 267, 855, 713, 666, 581, 4389, 547, 2899, 1169, 824, 3018, 689, 5437, 547, 4728, 563, 300, 1155, 10326, 5516, 454, 12507, 628, 569, 14450, 689, 4989, 547, 5239, 568, 2356, 2614, 585, 9921, 4054, 1282, 513, 10980, 267, 855, 952, 596, 666, 6488, 547, 2333, 519, 2557, 547, 7466, 513, 3018, 267, 798, 865, 269, 1403, 596, 723, 28301, 4054, 267, 3314, 789, 6336, 741, 3762, 1282, 519, 2887, 543, 1810, 1406, 2154, 10865, 14450, 689, 5437, 547, 4728, 563, 5591, 2339, 519, 4365, 2175, 267, 513, 1697, 14450, 20786, 1058, 581, 4553, 585, 707, 4054, 547, 21707, 269, 2060, 519, 1318, 14450, 2553, 267, 707, 4054, 666, 2611, 18932, 1256, 998, 26221, 267, 3905, 5712, 267, 543, 12675, 588, 6493, 540, 3819, 5162, 4365, 563, 2690, 936, 3670, 5756, 267, 24104, 754, 1763, 7808, 814, 3177, 10664, 2359, 543, 10821, 3529, 16013, 2719, 2533, 538, 519, 3152, 4095, 24550, 1858, 269, 1677, 8430, 6325, 3529, 1416, 2533, 267, 3346, 938, 818, 4011, 1235, 2221, 2336, 9596, 811, 4388, 543, 4030, 454, 1432, 616, 519, 13751, 543, 11038, 13786, 4850, 540, 11109, 19029, 593, 2659, 16296, 888, 307, 4181, 616, 513, 4190, 543, 6198, 851, 540, 1034, 8916, 267, 543, 649, 723, 1978, 2924, 543, 9021, 950, 621, 2501, 547, 519, 1416, 540, 1346, 4054, 269, 10326, 9562, 3340, 602, 649, 2226, 938, 4054, 5265, 547, 2061, 873, 689, 4742, 513, 8594, 610, 513, 562, 7572, 766, 2443, 543, 602, 779, 1141, 1919, 666, 1205, 2352, 563, 1692, 2052, 594, 15681, 952, 513, 10326, 568, 31808, 888, 2005, 1058, 979, 1510, 6031, 267, 855, 4054, 723, 513, 5458, 1764, 593, 938, 2729, 269, 6787, 621, 781, 2679, 513, 3529, 2777, 607, 513, 1126, 610, 9544, 513, 25308, 547, 2333, 3959, 1871, 607, 606, 2937, 267, 4054, 1683, 513, 9583, 11995, 1592, 540, 2640, 269, 1656, 1247, 1082, 540, 721, 723, 6170, 28782, 2220, 15781, 593, 554, 2459, 4169, 8288, 689, 4190, 4054, 899, 9006, 30514, 522, 6545, 267, 950, 729, 519, 2063, 942, 596, 2808, 519, 1072, 540, 519, 3529, 1354, 596, 3323, 21363, 286, 1656, 1247, 621, 4667, 899, 513, 1804, 3529, 568, 6793, 982, 5374, 267, 649, 991, 547, 1118, 2386, 789, 2811, 3144, 1416, 540, 543, 2635, 865, 649, 666, 2972, 873, 1279, 883, 519, 2104, 269, 1924, 267, 875, 666, 649, 3313, 950, 513, 3529, 568, 22247, 543, 9561, 922, 4222, 286 ]

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

[ 3044, 1106, 547, 3561, 5955, 281, 3763, 606, 14827, 5967, 1106, 609, 11295, 2055, 602, 616, 13988, 609, 2754, 6859, 269, 2422, 513, 3044, 1106, 585, 782, 5520, 267, 865, 602, 596, 666, 3362, 5635, 543, 4334, 5955, 689, 1114, 5520, 780, 273, 269, 25849, 513, 11280, 1448, 540, 3346, 281, 25849, 513, 11280, 1268, 547, 2932, 14827, 11042, 267, 3561, 5955, 267, 543, 1246, 909, 609, 4143, 6105, 269, 901, 1268, 1058, 849, 723, 1569, 547, 782, 4143, 6054, 543, 5638, 780, 274, 269, 2422, 3059, 2645, 547, 3561, 5955, 281, 2422, 3059, 2645, 547, 2327, 782, 5955, 568, 6740, 538, 835, 3844, 4087, 269, 901, 786, 1118, 621, 4443, 547, 2671, 5955, 609, 4143, 6105, 267, 543, 786, 2569, 519, 8458, 540, 5955, 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, 6092, 5149, 281, 11485, 10495, 543, 5004, 538, 519, 12745, 540, 519, 1763, 7808, 3427, 5871, 15232, 32237, 630, 4753, 303, 2020, 1103, 713, 1576, 1770, 267, 649, 5490, 883, 519, 2565, 1858, 540, 1981, 4879, 543, 2359, 267, 2519, 4481, 593, 519, 2796, 540, 519, 1763, 7808, 3427, 5871, 15232, 32237, 630, 4753, 303, 1040, 634, 595, 7968, 729, 3964, 607, 851, 540, 513, 6626, 11175, 6876, 6322, 693, 5466, 519, 3140, 4636, 338, 1102, 21719, 2390, 7087, 9082, 998, 519, 10821, 1153, 1062, 538, 4516, 269, 901, 1770, 11394, 547, 16491, 6267, 609, 1702, 543, 1983, 2556, 547, 2697, 1761, 4220, 2404, 609, 17034, 519, 595, 7968, 267, 2708, 891, 4220, 267, 543, 2936, 3617, 3800, 547, 11574, 873, 780, 272, 269, 4197, 519, 8466, 12745, 281, 1763, 7808, 12140, 538, 4516, 692, 6524, 11362, 883, 1981, 4879, 543, 2359, 538, 6935, 547, 519, 595, 7968, 267, 621, 781, 1898, 547, 1174, 519, 3140, 2796, 4478, 10821, 3506, 538, 4516, 269, 9737, 519, 3735, 476, 5197, 271, 338, 543, 476, 1960, 277, 267, 811, 982, 476, 5611, 267, 1822, 7087, 1453, 941, 6569, 689, 741, 3885, 543, 2950, 543, 5116, 538, 5939, 24507, 10821, 3506, 269, 1452, 5238, 6322, 547, 15849, 30968, 7087, 6107, 883, 16402, 4211, 534, 6598, 2528, 676, 1139, 7675, 5065, 4654, 267, 9821, 267, 543, 5389, 269, 3004, 326, 1227, 267, 1082, 1053, 11124, 2168, 267, 3929, 267, 543, 4638, 6057, 1282, 741, 942, 693, 891, 3506, 269, 769, 476, 1220, 279, 267, 519, 6554, 540, 4516, 18005, 23294, 1242, 585, 922, 1909, 538, 4881, 519, 10821, 1153, 1062, 780, 273, 269, 4985, 547, 519, 1763, 7808, 3427, 5871, 15232, 32237, 630, 4753, 303, 2567, 18601, 12815, 654, 3994, 338, 692, 763, 595, 7968, 7153, 607, 513, 5057, 540, 519, 3677, 4095, 1763, 7808, 12140, 5590, 25557, 15716, 630, 7644, 306, 6347, 1070, 799, 8179, 547, 2699, 816, 930, 540, 519, 2800, 3361, 676, 519, 10821, 1153, 1062, 269, 4432, 580, 1043, 5449, 1053, 666, 4309, 13180, 896, 519, 595, 7968, 1759, 593, 741, 3259, 540, 20343, 693, 14718, 10821, 3506, 269, 1306, 7074, 538, 938, 6679, 1349, 267, 3156, 585, 519, 595, 7968, 949, 1831, 2139, 538, 11354, 476, 1220, 278, 267, 1739, 16324, 2689, 543, 13170, 3157, 780, 274, 269, 17291, 15783, 24093, 23105, 609, 7457, 532, 519, 595, 7968, 692, 16966, 532, 519, 595, 7968, 949, 1459, 1896, 2591, 602, 1223, 10460, 1585, 4220, 585, 23078, 269, 2368, 1761, 4220, 1331, 1384, 265, 16508, 11605, 1813, 547, 882, 1516, 15779, 2833, 1247, 22281, 532, 2250, 28407, 3248, 265, 30975, 10188, 1950, 3498, 5773, 543, 12319, 4170, 3248, 265, 31700, 1472, 22637, 543, 7834, 950, 4687, 6213, 2123, 1344, 3248, 265, 12694, 4466, 7850, 1489, 1949, 547, 948, 11883, 609, 519, 1184, 780, 275, 269, 30487, 519, 24093, 281, 589, 18043, 13979, 692, 2414, 3927, 4383, 4220, 2404, 609, 7311, 585, 519, 595, 7968, 267, 621, 781, 2629, 1101, 547, 2932, 513, 9488, 1981, 4879, 269, 901, 3322, 7114, 2693, 7653, 602, 1522, 9594, 2942, 4093, 543, 10442, 741, 1761, 1764, 543, 10171, 269, 1280, 1383, 267, 519, 1981, 540, 3929, 11605, 1522, 723, 1713, 4539, 585, 606, 1367, 781, 2790, 1072, 267, 3226, 952, 789, 3668, 1697, 1489, 5121, 269, 6684, 267, 7965, 10188, 1950, 3498, 5773, 1223, 1267, 538, 14406, 21852, 543, 4389, 2883, 2640, 780, 276, 269, 20074, 21474, 547, 14600, 580, 622, 5772, 1881, 24093, 692, 5629, 4220, 616, 4857, 543, 12290, 267, 3384, 2994, 547, 7413, 741, 1761, 8801, 2360, 3587, 14063, 269, 11153, 2489, 3741, 3391, 2500, 1981, 2359, 1384, 265, 11559, 1930, 2792, 1063, 8639, 3238, 538, 519, 1184, 3248, 265, 3629, 2312, 5583, 593, 519, 3498, 5650, 543, 12319, 4170, 3248, 265, 20644, 8194, 26455, 13508, 2533, 3358, 547, 2043, 262, 2115, 3248, 265, 5917, 11229, 585, 2178, 1239, 4027, 4507, 4180, 22637, 543, 7834, 3248, 265, 23340, 11215, 5054, 1141, 23078, 1745, 6899, 5275, 6351, 2429, 519, 1184, 780, 277, 269, 8490, 22990, 3050, 3414, 7991, 22580, 543, 8081, 17978, 692, 19741, 6101, 6127, 585, 5883, 4220, 267, 2146, 6278, 543, 2679, 7347, 1489, 5121, 1404, 11358, 5107, 538, 5009, 6043, 1851, 1346, 4299, 676, 519, 10821, 1153, 9371, 269, 20985, 7341, 5473, 2199, 3906, 267, 2686, 7740, 267, 543, 14223, 2516, 666, 1683, 2922, 5624, 585, 7067, 543, 16882, 267, 4543, 15000, 6330, 4101, 6381, 971, 607, 2502, 609, 519, 595, 7968, 780, 14483, 12367, 543, 7464, 21509, 6201, 1384, 13146, 1382, 814, 12006, 519, 2956, 540, 15520, 17841, 4485, 950, 2324, 609, 7087, 5095, 7231, 609, 29076, 8194, 31827, 689, 7810, 2853, 899, 10821, 3506, 269, 6270, 2409, 11168, 11455, 8171, 21214, 5289, 267, 3929, 267, 2168, 267, 543, 7214, 7516, 267, 9301, 519, 2189, 9342, 7915, 1369, 3309, 7087, 4529, 780, 2690, 3236, 267, 519, 2817, 10418, 585, 18266, 543, 26532, 16624, 630, 301, 6311, 305, 264, 3091, 2200, 2966, 547, 3895, 7067, 543, 2069, 827, 10821, 3506, 269, 3958, 267, 3875, 6237, 3292, 2709, 7463, 13508, 2533, 23695, 12799, 547, 519, 3982, 2115, 540, 10821, 1153, 15000, 543, 741, 18939, 780, 6962, 1384, 8777, 1645, 609, 519, 1763, 7808, 3427, 5871, 15232, 32237, 630, 4753, 303, 264, 3340, 6297, 7156, 540, 1761, 4220, 543, 1646, 540, 862, 839, 23847, 1981, 2359, 2994, 269, 1635, 5807, 4656, 540, 3140, 2796, 267, 1620, 519, 3483, 540, 519, 595, 7968, 267, 7114, 543, 12570, 4220, 267, 7598, 8825, 3800, 267, 543, 16107, 2146, 6278, 543, 1489, 5121, 267, 6267, 666, 3565, 25006, 547, 5571, 3646, 2509, 21047, 543, 7067, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 28657, 779, 6196, 652, 3689, 8315, 1715, 4944, 1653, 910, 4419, 532, 715, 340, 340, 7302, 1695, 5991, 592, 628, 268, 1695, 339, 2094, 476, 3192, 275, 8225, 23549, 25357, 8605, 688, 553, 317, 328, 285, 21542, 968, 19950, 532, 5240, 892, 5292, 269, 476, 3451, 910, 3143, 269, 476, 2641, 910, 5239, 476, 866, 267, 476, 1220, 277, 19833, 15716, 3143, 269, 476, 6110, 5325, 278, 10602, 454, 301, 340, 340, 7302, 1695, 5991, 592, 628, 16840, 693, 1763, 7808, 3427, 5590, 25557, 7040, 670, 792, 902, 1635, 2961, 5055, 631, 1601, 267, 12794, 27691, 559, 628, 4149, 320, 27752, 26551, 1107, 10241, 585, 519, 1763, 7808, 3427, 5871, 15232, 32237, 630, 4753, 303, 264, 1223, 581, 5950, 538, 519, 5614, 540, 476, 1220, 278, 533, 2056, 519, 13170, 540, 10470, 2066, 4516, 2687, 547, 4077, 331, 2940, 5617, 548, 879, 267, 10615, 540, 519, 13909, 540, 3689, 8315, 630, 28425, 301, 264, 4095, 1763, 7808, 12140, 5149, 269, 5617, 548, 879, 1705, 13657, 267, 968, 2005, 779, 2182, 547, 2161, 875, 1279, 621, 786, 2965, 1491, 1317, 649, 1810, 1406, 917, 875, 1279, 1237, 10094, 676, 519, 5480, 786, 610, 1053, 786, 1491, 1848, 27051, 4557, 715, 340, 340, 7302, 1695, 5991, 592, 628, 268, 1695, 339, 14612, 547, 519, 2487, 7040, 670, 792, 902, 538, 26551, 5239, 476, 1015, 268, 1321, 547, 7198, 543, 2671, 741, 4145, 269, 4340, 547, 519, 4095, 1763, 7808, 12140, 5590, 25557, 24722, 7040, 3896, 267, 968, 4263, 519, 5873, 902, 267, 519, 30271, 786, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 590, 23852, 29803, 1315, 8881, 1299, 8232, 1315, 4937, 1315, 11485, 10495, 543, 5004, 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, 1012, 4197, 5124, 8943, 585, 18140, 1154, 692, 1103, 713, 1770, 267, 649, 786, 5490, 883, 513, 4062, 540, 5124, 3009, 602, 568, 1031, 585, 28321, 1239, 269, 901, 3009, 3096, 519, 2387, 31596, 319, 543, 2387, 3901, 15003, 319, 8021, 267, 799, 616, 4122, 1031, 585, 10230, 26398, 543, 28321, 538, 5124, 267, 6606, 269, 1403, 596, 10093, 1405, 8704, 891, 8021, 2943, 267, 596, 666, 798, 865, 1210, 10398, 1384, 3499, 7090, 454, 26921, 3888, 11885, 21267, 454, 7884, 5629, 8704, 267, 596, 666, 1104, 891, 8021, 883, 707, 5124, 7097, 607, 5205, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 7884, 2162, 18140, 1154, 513, 18948, 692, 763, 1101, 851, 540, 519, 3009, 568, 1031, 547, 4729, 513, 6476, 540, 1079, 14449, 267, 2387, 340, 272, 319, 543, 2387, 340, 273, 18269, 1452, 14449, 616, 27229, 14249, 540, 10230, 1239, 780, 3499, 7090, 454, 2745, 2891, 5522, 31857, 1964, 691, 26666, 10371, 23528, 338, 516, 267, 562, 516, 815, 5286, 6230, 21983, 28186, 263, 5286, 30784, 1052, 6025, 17484, 7933, 339, 266, 272, 12684, 19049, 267, 476, 273, 265, 12639, 32564, 265, 299, 21610, 16732, 12639, 15126, 263, 9792, 18217, 4297, 266, 272, 4917, 14808, 267, 4949, 338, 815, 12301, 16553, 30831, 263, 272, 267, 274, 994, 7884, 763, 2387, 12639, 6230, 21983, 28186, 319, 1599, 568, 1031, 547, 1711, 513, 14328, 7470, 856, 540, 1079, 2016, 835, 8820, 14249, 269, 3371, 267, 621, 568, 1031, 547, 1711, 513, 7470, 540, 942, 630, 319, 338, 516, 319, 264, 543, 2230, 630, 319, 333, 516, 319, 264, 2418, 269, 634, 2387, 11357, 30831, 319, 1599, 568, 1287, 1031, 547, 1711, 513, 4137, 609, 1614, 1016, 30831, 780, 9202, 267, 519, 3009, 13602, 26048, 13602, 540, 2387, 340, 272, 319, 543, 2387, 340, 273, 319, 593, 519, 1101, 1079, 1016, 30831, 267, 543, 513, 26048, 4729, 540, 519, 6207, 3017, 1063, 2387, 340, 272, 319, 543, 2387, 340, 273, 319, 593, 519, 3791, 1016, 7120, 780, 3499, 7090, 454, 14369, 271, 815, 4949, 338, 314, 271, 4940, 4186, 712, 325, 4433, 516, 267, 562, 516, 267, 579, 272, 11053, 267, 476, 2004, 267, 4699, 777, 284, 10823, 10947, 6831, 14090, 2891, 572, 1143, 545, 27363, 14369, 272, 815, 4949, 338, 314, 272, 4940, 4186, 712, 325, 4433, 516, 267, 562, 516, 267, 579, 273, 11053, 267, 476, 2004, 267, 4699, 777, 284, 10823, 10947, 6831, 14090, 2891, 572, 1143, 545, 27363, 18528, 815, 5286, 269, 11274, 26086, 272, 268, 340, 273, 994, 14369, 273, 815, 4949, 338, 314, 273, 4940, 4186, 712, 325, 4433, 516, 267, 562, 516, 267, 886, 11053, 267, 476, 2004, 267, 4699, 777, 284, 10823, 10947, 6831, 14090, 2891, 572, 1143, 545, 27363, 7884, 763, 2387, 4186, 712, 325, 319, 1599, 568, 1031, 547, 1711, 4904, 26048, 13602, 269, 634, 2387, 9492, 777, 319, 4661, 568, 1031, 547, 14574, 519, 2681, 4786, 585, 519, 4729, 269, 634, 2387, 1326, 6831, 14090, 319, 1599, 568, 1031, 547, 1205, 513, 2681, 4786, 689, 21267, 781, 4015, 540, 2681, 7851, 780, 763, 3009, 1287, 8591, 2681, 321, 1513 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 289, 6350, 17632, 267, 19934, 264, 1724, 811, 9343, 454, 3674, 13398, 606, 10995, 3926, 888, 288, 13398, 568, 519, 2547, 10995, 540, 519, 1614, 8800, 3457, 269, 898, 5713, 607, 513, 4276, 1448, 585, 519, 5904, 630, 663, 824, 3457, 971, 607, 23252, 264, 538, 513, 3060, 269, 589, 13398, 3274, 10596, 2059, 519, 6808, 621, 11392, 547, 519, 5904, 4448, 547, 621, 269, 0, 5522, 1218, 18714, 269, 853, 2114, 21933, 1664, 569, 26799, 547, 16245, 267, 588, 565, 976, 1459, 610, 15534, 267, 711, 530, 597, 344, 269, 27817, 9244, 3897, 6973, 545, 267, 25062, 3762, 609, 3476, 543, 9962, 533, 4883, 2801, 982, 15417, 3283, 267, 25062, 12955, 1394, 538, 5162, 267, 15417, 10770, 267, 6960, 880, 267, 2182, 2989, 269, 8891, 1470, 548, 540, 25062, 6978, 1309, 269, 476, 272, 270, 1015, 1700, 272, 270, 276, 3259, 540, 16405, 267, 4620, 1470, 548, 540, 15417, 6978, 13008, 1226, 2718, 3259, 540, 16405, 267, 13279, 22224, 267, 6414, 532, 607, 512, 5268, 641, 16104, 936, 5162, 282, 15466, 15985, 956, 476, 273, 267, 14694, 267, 561, 684, 622, 538, 3444, 3296, 269, 2349, 1228, 14248, 328, 10364, 630, 3122, 850, 264, 610, 7522, 569, 1073, 14075, 547, 21933, 766, 25544, 630, 325, 1068, 850, 1070, 533, 4883, 622, 1790, 4883, 520, 604, 573, 610, 3006, 533, 4883, 622, 609, 22725, 4733, 533, 4883, 2801, 538, 15417, 3762, 267, 7930, 547, 5176, 23589, 569, 4389, 1253, 958, 547, 533, 4883, 520, 604, 573, 30085, 267, 25062, 19059, 10786, 17675, 269, 623, 4883, 2801, 711, 24808, 547, 986, 577, 529, 267, 10126, 19114, 3003, 630, 3122, 850, 5148, 9938, 2711, 533, 4883, 2801, 630, 13367, 531, 8424, 264, 7494, 4389, 267, 5089, 850, 267, 31164, 282, 1942, 2801, 13719, 569, 9240, 3437, 740, 1314, 6053, 267, 9240, 7174, 711, 6024, 689, 986, 577, 529, 547, 1942, 2801, 282, 1802, 618, 15534, 593, 1312, 7252, 610, 1232, 573, 28204, 4552, 344, 705, 1314, 6053, 269, 26890, 1231, 1863, 267, 2241, 269, 590, 9461, 538, 476, 272, 4737, 1063, 4571, 1026, 543, 14345, 267, 13008, 5180, 267, 4988, 676, 2182, 2989, 2847, 5193, 8930, 3534, 14345, 282, 967, 639, 807, 22514, 580, 658, 267, 21083, 267, 10770, 855, 711, 3362, 2938, 538, 9921, 3762, 269, 1975, 2803, 3039, 880, 267, 609, 1970, 26642, 543, 8792, 20192, 3729, 2275, 2077, 622, 2609, 269, 1535, 815, 476, 2412, 563, 22139, 22465, 4525, 563, 12385, 974, 25458, 807, 568, 835, 540, 1896, 25281, 1634, 547, 4558, 20566, 9274, 538, 1279, 1790, 619, 11962, 4620, 1470, 548, 13279, 630, 339, 5268, 641, 16104, 264, 630, 310, 269, 670, 269, 25538, 1676, 12789, 269, 543, 667, 269, 631, 269, 9652, 476, 2735, 274, 1040, 5899, 3578, 11340, 614, 529, 4024, 6577, 578, 568, 513, 2663, 4630, 7716, 540, 5899, 3578, 11340, 614, 529, 2480, 641, 10008, 543, 8754, 24648, 527, 1493, 269, 623, 339, 699, 26385, 681, 2378, 1149, 4302, 267, 1256, 1498, 621, 568, 519, 9510, 16048, 2012, 267, 814, 1044, 15653, 538, 3870, 540, 4223, 974, 25458, 807, 563, 11854, 2886, 476, 274, 630, 272, 538, 519, 18508, 1040, 0, 22416, 2264, 16102, 568, 1271, 609, 14621, 547, 7863, 3054, 689, 26099, 8290, 269, 1975, 344, 2264, 568, 2110, 585, 968, 7356, 5534, 3301, 892, 1107, 6030, 610, 3301, 602, 666, 3441, 707, 2780, 676, 3274, 18731, 1062, 6119, 610, 3190, 532, 519, 707, 1036, 3588, 269, 7756, 5686, 540, 18453, 543, 17351, 3292, 666, 2907, 581, 1459, 593, 707, 18376, 267, 1519, 912, 307, 549, 13568, 8290, 616, 3301, 3156, 602, 4480, 3755, 538, 547, 7938, 9231, 569, 2324, 873, 269, 1358, 1419, 2097, 607, 1863, 2264, 585, 23842, 267, 543, 1082, 540, 1346, 5563, 1205, 741, 1378, 7270, 547, 13587, 633, 1004, 543, 1118, 2724, 689, 873, 269, 589, 19800, 568, 606, 11763, 1544, 602, 19082, 998, 513, 15291, 3060, 3274, 676, 16459, 676, 3294, 593, 3606, 3292, 543, 533, 14369, 1510, 519, 6876, 540, 519, 1439, 3593, 563, 309, 21905, 786, 581, 10299, 998, 4757, 17960, 267, 593, 4609, 540, 16091, 6191, 267, 610, 1256, 998, 28085, 2139, 269, 1358, 666, 581, 10299, 998, 3060, 23252, 4448, 547, 1949, 267, 543, 1256, 998, 12616, 1949, 269, 634, 5354, 540, 616, 7941, 676, 4098, 15737, 543, 1357, 2861, 27589, 602, 616, 2693, 547, 2270, 873, 267, 855, 666, 849, 581, 3262, 950, 707, 2780, 3568, 513, 4057, 3060, 4276, 607, 1134, 607, 4636, 3498, 8704, 593, 602, 563, 22416, 2264, 666, 849, 3468, 707, 1357, 11422, 693, 1357, 3817, 6220, 17351, 1239, 971, 607, 891, 1336, 593, 1357, 4609, 602, 3895, 22342, 2264, 543, 740, 2264, 269, 1452, 666, 2270, 18858, 329, 753, 267, 17494, 267, 610, 5310, 8290, 543, 616, 849, 2111, 547, 798, 1896, 30380, 2238, 269, 1280, 1383, 2073, 789, 666, 21102, 1344, 689, 707, 1357, 11422, 610, 6494, 856, 621, 585, 606, 3544, 5169, 269, 1358, 666, 849, 771, 762, 519, 4027, 540, 519, 1357, 11422, 267, 2495, 602, 707, 2780, 1223, 7654, 581, 6534, 547, 811, 6285, 563, 300, 1446, 14179, 550, 3292, 666, 849, 581, 1031, 547, 4323, 824, 3292, 593, 707, 2780, 269, 589, 1906, 1806, 540, 713, 1331, 912, 763, 1114, 5686, 540, 18453, 799, 1522, 581, 8704, 593, 707, 2780, 616, 1360, 1114, 689, 835, 1776, 269, 1403, 596, 6999, 547, 581, 9580, 12023, 689, 782, 5686, 540, 5563, 267, 1287, 596, 786, 2154, 513, 3301, 602, 786, 4894, 519, 1585, 2010, 540, 5739, 6030, 689, 707, 19766, 7473, 2207, 269, 1411, 666, 946, 606, 4550, 2173, 531, 2264, 1982, 585, 713, 1808, 3483, 563, 1607, 1826, 540, 1982, 666, 581, 22434, 689, 519, 5769, 610, 11751, 2094, 4647, 762, 3301, 3292, 269, 898, 5036, 909, 3294, 593, 707, 2123, 2780, 543, 14509, 998, 707, 6119, 543, 30397, 782, 519, 6119, 543, 3156, 602, 621, 7959, 547, 581, 3413, 21719, 267, 8924, 7666, 728, 3820, 270, 1492, 1532, 652, 2173, 531, 2264, 3491, 339, 1254, 1287, 3274, 18788, 891, 1004, 835, 676, 835, 547, 1118, 707, 2780, 27507, 540, 873, 563, 2467, 616, 1585, 2010, 540, 4550, 2173, 531, 2264, 3301, 269, 634, 1034, 2442, 2010, 616, 14640, 1606, 6853, 2264, 267, 2473, 21510, 306, 6853, 572, 267, 623, 732, 1729, 19868, 545, 14640, 306, 6853, 267, 5689, 2264, 3528, 5052, 543, 1975, 344, 15318, 9612, 543, 20121, 5797, 563, 306, 6853, 2264, 568, 1114, 689, 519, 824, 18453, 607, 621, 1281, 711, 1028, 841, 707, 2780, 269, 5502, 267, 621, 15920, 856, 1239, 827, 707, 19855, 6208, 865, 602, 6994, 23924, 945, 1616, 547, 1445, 593, 596, 666, 798, 18867, 269, 634, 811, 1360, 6213, 707, 2123, 5013, 568, 267, 519, 811, 2693, 6994, 23924, 786, 3077, 596, 543, 3976, 1118, 741, 2472, 3015, 547, 596, 269, 1975, 344, 2264, 5531, 338, 713, 1239, 543, 1310, 602, 15920, 602, 547, 3260, 619, 563, 306, 6853, 2264, 568, 2356, 8704, 16924, 676, 519, 8227, 540, 519, 7783, 2780, 269, 11048, 2073, 952, 596, 1810, 1406, 723, 1022, 2186, 540, 1702, 827, 519, 1318, 1259, 547, 798, 713, 267, 1287, 972, 616, 1863, 2081, 547, 4894, 621, 563, 306, 6853, 2264, 543, 740, 2264, 666, 1028, 841, 513, 2647, 3099, 540, 3457, 267, 971, 607, 281, 8837, 5665, 1949, 267, 26914, 338, 267, 543, 5985, 11436, 269, 1411, 666, 9718, 3054, 676, 9001, 835, 540, 519, 1082, 4550, 1606, 6853, 2264, 3301, 602, 666, 581, 1336, 2228, 563, 2467, 616, 513, 1297, 540, 1863, 4550, 1606, 6853, 2264, 3301, 2139, 267, 855, 596, 991, 547, 1118, 2386, 596, 723, 782, 519, 1271, 1344, 971, 607, 2012, 267, 2232, 267, 31705, 3556, 1297, 267, 543, 2272, 25727, 6619, 540, 23842, 3301, 547, 707, 26099, 269, 1703, 616, 849, 6976, 3301, 3292, 602, 786, 1831, 22434, 563, 12901, 328, 1606, 6853, 2264, 4027, 1281, 711, 1152, 7500, 1996, 5689, 2264, 269, 898, 849, 1568, 1996, 824, 3029, 540, 8290, 267, 18858, 329, 753, 543, 18858, 13568, 8290, 9640, 269, 16480, 2094, 621, 1223, 711, 607, 1455, 607, 1975, 344, 16292, 267, 621, 3884, 1406, 7487, 602, 2500, 538, 9427, 713, 269, 769, 824, 1913, 267, 621, 2731, 568, 3274, 3730, 1996, 513, 1297, 540, 4130, 21092, 6937, 269, 0, 8139, 26744, 569, 16508, 18816, 543, 4706, 16473, 633, 21474, 454, 16449, 782, 2010, 540, 9632, 6057, 267, 5626, 543, 3929, 6057, 568, 519, 1034, 1455, 543, 18094, 3390, 269, 769, 1249, 267, 3929, 6057, 568, 849, 519, 23698, 547, 3950, 607, 1419, 4422, 11389, 19959, 269, 9521, 2883, 610, 4638, 14226, 267, 519, 957, 540, 3929, 6057, 568, 711, 15069, 2808, 7803, 538, 2470, 269, 2552, 9009, 547, 2168, 6057, 267, 3929, 6057, 3085, 1406, 4734, 1022, 2168, 2963, 269, 769, 971, 513, 2013, 267, 1920, 2818, 543, 824, 6068, 3283, 540, 513, 9972, 949, 711, 723, 1022, 2856, 952, 621, 779, 9648, 607, 789, 1810, 1406, 1205, 547, 7198, 621, 20250, 563, 15650, 540, 16508, 18816, 454, 10387, 10899, 6057, 568, 950, 513, 1268, 6411, 538, 513, 1259, 602, 5012, 513, 9972, 547, 3929, 1928, 543, 7092, 269, 6270, 2587, 340, 880, 540, 513, 9972, 666, 1459, 3294, 538, 513, 3099, 540, 2081, 899, 8401, 1145, 267, 989, 2787, 267, 18354, 267, 610, 4250, 269, 20450, 540, 3929, 6057, 666, 2901, 581, 18532, 610, 16662, 30102, 282, 621, 5673, 2436, 519, 705, 12528, 4941, 547, 10413, 513, 9972, 779, 4664, 610, 952, 646, 610, 1352, 729, 22350, 14129, 543, 31464, 569, 561, 14414, 856, 269, 16508, 6057, 666, 1491, 1079, 3029, 281, 11913, 543, 26068, 563, 14300, 540, 7638, 4472, 16508, 18816, 454, 268, 962, 2454, 543, 3458, 5446, 454, 268, 774, 17816, 610, 5910, 2056, 547, 2800, 519, 9972, 454, 268, 6184, 738, 532, 267, 2012, 2275, 16226, 267, 543, 28457, 532, 454, 268, 32695, 547, 513, 9972, 607, 952, 646, 610, 1352, 941, 513, 1126, 454, 268, 21150, 1551, 23035, 519, 9972, 538, 4395, 540, 1866, 454, 268, 6970, 6748, 16203, 543, 13347, 1154, 4606, 454, 268, 9861, 1611, 543, 1289, 748, 454, 268, 2349, 5446, 543, 1085, 1901, 2998, 908, 454, 14300, 540, 6348, 16812, 16508, 18816, 454, 268, 23239, 2056, 547, 2014, 2168, 2800, 454, 268, 29179, 14980, 2126, 454, 268, 1772, 565, 908, 513, 9972, 689, 1866, 454, 268, 10163, 878, 1154, 513, 9972, 689, 1514, 1944, 454, 268, 7799, 1746, 1569, 547, 1216, 267, 1426, 267, 610, 1256, 19880, 454, 268, 6164, 532, 513, 9972, 607, 952, 646, 610, 1352, 941, 513, 1126, 454, 268, 670, 4575, 610, 2921, 2476, 2123, 28378, 454, 22546, 338, 540, 16508, 18816, 454, 7712, 519, 6057, 568, 1644, 547, 4664, 543, 6530, 267, 922, 2360, 616, 1447, 2693, 547, 581, 3254, 9308, 269, 3502, 6005, 1022, 8965, 2242, 949, 711, 8209, 5365, 6057, 267, 855, 707, 6068, 835, 786, 1745, 13943, 538, 513, 1880, 1268, 779, 2754, 563, 4913, 267, 952, 707, 6068, 835, 2982, 1896, 8965, 2242, 15587, 267, 621, 8612, 602, 646, 610, 1352, 568, 7680, 513, 6024, 957, 540, 6057, 269, 11408, 2638, 609, 513, 4387, 610, 513, 18673, 547, 2697, 519, 4191, 540, 3929, 6057, 269, 9282, 1169, 9972, 949, 13789, 8335, 856, 540, 971, 6057, 267, 519, 1739, 616, 930, 4191, 602, 5815, 3929, 6057, 563, 268, 28246, 4160, 543, 4250, 454, 268, 12870, 543, 15639, 454, 268, 674, 745, 1598, 566, 543, 989, 2787, 454, 268, 23281, 540, 27303, 1145, 543, 27945, 1145, 454, 268, 19768, 540, 1719, 543, 15131, 454, 268, 769, 1464, 547, 1118, 3664, 454, 268, 18461, 902, 540, 2790, 9636, 543, 1780, 2032, 454, 268, 22226, 543, 8965, 2242, 0, 2171, 1459, 513, 2203, 540, 635, 8767, 7452, 5827, 540, 1138, 6819, 519, 6384, 1369, 519, 1101, 1906, 9937, 540, 5998, 540, 519, 28661, 2627, 269, 10765, 7403, 676, 519, 717, 1778, 8177, 1323, 26087, 518, 543, 28545, 6452, 636, 15975, 543, 1290, 8767, 18520, 594, 517, 7136, 1323, 26087, 518, 7405, 593, 14472, 24297, 1397, 602, 519, 13540, 32307, 2770, 27918, 7452, 5536, 609, 11188, 657, 885, 1657, 476, 2004, 2600, 543, 7306, 909, 547, 693, 2547, 6515, 630, 293, 592, 548, 1696, 620, 269, 476, 1001, 276, 321, 282, 15585, 1495, 328, 1696, 620, 269, 476, 1001, 276, 282, 5576, 592, 345, 1696, 620, 269, 476, 1001, 276, 1040, 4825, 4471, 1998, 540, 519, 2168, 3601, 540, 891, 5536, 3340, 513, 2203, 540, 519, 2500, 4229, 12044, 741, 6384, 269, 3371, 267, 649, 1459, 513, 2203, 5827 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 276, 7436, 269, 901, 6920, 602, 476, 2004, 260, 540, 519, 1053, 538, 519, 1239, 630, 328, 4318, 269, 476, 276, 1053, 264, 723, 20639, 2630, 476, 4391, 269, 276, 7436, 543, 476, 2004, 260, 540, 1053, 723, 20639, 811, 982, 476, 4391, 269, 276, 7436, 269, 3776, 2013, 1383, 568, 3833, 1507, 865, 952, 596, 2461, 8049, 267, 596, 666, 512, 958, 543, 6166, 602, 1152, 476, 276, 1053, 723, 20639, 2630, 476, 4391, 269, 276, 7436, 780, 271, 260, 3338, 693, 476, 4029, 7436, 799, 267, 952, 596, 5469, 568, 519, 9803, 6060, 538, 519, 1239, 269, 769, 14287, 267, 519, 476, 1911, 628, 30878, 568, 693, 476, 4366, 7436, 799, 568, 519, 5207, 6060, 538, 519, 1305, 269, 901, 568, 875, 519, 8537, 30878, 1568, 282, 519, 9803, 543, 5207, 2418, 540, 519, 3892, 1118, 519, 1283, 543, 5377, 2600, 3796, 269, 1473, 1204, 1302, 267, 476, 4029, 7436, 1118, 476, 7830, 260, 543, 476, 4366, 7436, 1118, 476, 9834, 260, 952, 649, 979, 676, 519, 6871, 1062, 780, 1607, 568, 1946, 596, 1131, 6999, 585, 519, 30878, 547, 6749, 952, 596, 1185, 513, 9157, 981, 1317, 952, 1100, 835, 729, 2111, 547, 6060, 1360, 1164, 267, 519, 5207, 6913, 1665, 1131, 1831, 476, 1911, 260, 543, 519, 1964, 540, 519, 7436, 1131, 581, 19486, 9935, 780, 1012, 6396, 1948, 273, 1107, 4635, 25783, 290, 28718, 4041, 269, 2562, 290, 9577, 692, 300, 1549, 539, 4505, 267, 649, 5143, 596, 602, 519, 25783, 290, 28718, 4041, 269, 2562, 290, 1599, 814, 1044, 5189, 607, 513, 10682, 585, 519, 25783, 290, 28718, 4041, 1599, 269, 4475, 621, 568, 1100, 1114, 689, 519, 25783, 290, 28718, 4041, 1599, 269, 634, 10682, 1185, 2965, 3144, 1747, 547, 7936, 856, 519, 835, 1599, 883, 922, 1079, 8371, 267, 8537, 543, 12600, 780, 6546, 568, 1946, 649, 3580, 581, 1210, 519, 1482, 4214, 547, 1174, 519, 25783, 290, 28718, 4041, 269, 2562, 290, 1599, 1107, 621, 2164, 538, 519, 737, 628, 30878, 1141, 737, 2115, 547, 581, 538, 519, 2039, 476, 271, 1107, 476, 272, 630, 528, 476, 271, 260, 547, 476, 1911, 8472, 538, 13254, 780, 763, 4542, 1031, 1934, 585, 12719, 519, 476, 2004, 628, 30878, 609, 519, 25783, 290, 28718, 4041, 269, 2562, 290, 1599, 568, 519, 1482, 607, 519, 835, 1031, 4505, 1384, 319, 284, 25807, 290, 28718, 4041, 269, 2562, 290, 18154, 274, 281, 290, 1321, 267, 294, 274, 23375, 692, 2171, 2461, 1210, 519, 1482, 2039, 595, 274, 281, 290, 1321, 609, 519, 7436, 269, 1656, 585, 4946, 737, 538, 519, 2034, 9936, 540, 519, 1599, 267, 649, 2461, 2921, 519, 1871, 538, 717, 274, 1775, 4318, 269, 476, 2004, 10065, 901, 1259, 596, 666, 1689, 519, 1871, 538, 717, 274, 547, 1205, 519, 3077, 30878, 630, 324, 3052, 269, 476, 1839, 628, 610, 476, 4037, 628, 30878, 6393, 763, 476, 2004, 260, 30878, 814, 1044, 17223, 607, 476, 4391, 269, 276, 780, 9616, 602, 519, 2600, 3796, 7229, 676, 519, 25783, 290, 28718, 4041, 269, 2562, 290, 1599, 543, 519, 25783, 290, 28718, 4041, 1599, 616, 519, 1482, 780, 1103, 922, 10305, 267, 519, 1079, 5018, 3252, 616, 9838, 607, 519, 25783, 290, 28718, 4041, 1599, 1152, 20039, 585, 519, 8537, 2460, 269, 3767, 1577, 779, 1847, 593, 547, 519, 12600, 2460, 543, 1294, 1018, 3017, 602, 2306, 547, 519, 30878, 9273, 780, 1012, 6396, 1948, 274, 1107, 4635, 25783, 290, 28718, 4041, 9950, 311, 290, 9577, 692, 2691, 7384, 2600, 3796, 538, 9185, 267, 596, 991, 547, 6430, 799, 1505, 596, 1616, 547, 9772, 607, 2600, 3796, 666, 849, 581, 17223, 1210, 519, 25783, 290, 28718, 4041, 9950, 311, 290, 1599, 780, 1607, 1599, 7024, 519, 2016, 30878, 585, 513, 10471, 269, 901, 851, 568, 519, 1482, 607, 519, 25783, 290, 28718, 4041, 269, 2562, 290, 1599, 269, 634, 851, 602, 568, 1114, 568, 519, 17181, 540, 519, 2418, 476, 271, 543, 476, 272, 607, 737, 780, 11997, 267, 513, 1871, 1063, 476, 271, 543, 476, 272, 666, 581, 13859, 607, 737, 538, 519, 4542, 780, 2171, 3580, 1491, 602, 12777, 543, 5734, 621, 4666, 4099, 609, 713, 4542, 1384, 319, 284, 25807, 290, 28718, 4041, 9950, 311, 290, 18154, 274, 281, 290, 1321, 267, 294, 274, 23375, 692, 2026, 2944, 538, 519, 824, 1079, 3252, 267, 649, 2811, 2921, 519, 1482, 2039, 607, 519, 10471, 1775, 4318, 269, 595, 274, 281, 290, 1321, 543, 4466, 519, 3844, 30878, 630, 2004, 628, 17107, 763, 25783, 290, 28718, 4041, 9950, 311, 290, 1599, 7024, 519, 476, 2004, 628, 30878, 607, 476, 4391, 269, 276, 7436, 269, 9894, 596, 4063, 875, 782, 1614, 3252, 723, 8507, 538, 519, 1482, 476, 2004, 628, 30878, 2496, 3086, 1577, 779, 5173, 519, 30878, 1210, 476, 271, 260, 1384, 2171, 3893, 513, 1948, 301, 9331, 256, 5470, 543, 950, 649, 5173, 519, 476, 1911, 628, 30878, 1210, 519, 25783, 290, 28718, 4041, 9950, 311, 290, 1599, 267, 649, 1205, 1384, 5194, 1948, 301, 9331, 256, 5470, 269, 1306, 649, 1767, 4505, 267, 596, 3112, 946, 476, 271, 543, 476, 272, 630, 528, 476, 271, 260, 543, 476, 1911, 8472, 547, 5173, 2600, 3796, 538, 519, 25783, 290, 28718, 4041, 9950, 311, 290, 1599, 269, 901, 17181, 851, 540, 519, 1599, 3762, 856, 519, 1283, 543, 5377, 7475, 540, 519, 1239, 780, 2791, 949, 1631, 581, 11842, 1946, 1131, 596, 946, 513, 1599, 602, 3085, 1406, 4125, 519, 1283, 543, 2766, 540, 519, 1239, 269, 898, 666, 581, 4023, 547, 946, 519, 25783, 290, 28718, 4041, 9950, 311, 290, 547, 23868, 519, 1439, 2418, 607, 789, 949, 581, 513, 1875, 1922, 7528, 550, 12136, 780, 2252, 1152, 835, 2875, 814, 20639, 519, 5207, 7436, 543, 835, 2875, 814, 20639, 519, 9803, 7436, 267, 519, 25783, 290, 28718, 4041, 9950, 311, 290, 1599, 666, 581, 1031, 547, 1205, 519, 2600, 3796, 1141, 519, 20825, 538, 519, 1239, 616, 16437, 518, 780, 289, 792, 538, 2247, 267, 2705, 267, 602, 2094, 519, 1283, 2338, 616, 1835, 684, 3481, 18746, 267, 519, 5377, 2338, 538, 519, 3892, 786, 849, 581, 1835, 684, 3481, 16057, 267, 2810, 519, 5580, 30878, 543, 21177, 519, 2539, 30878, 780, 2690, 1631, 267, 649, 666, 1152, 18992, 547, 12719, 519, 476, 1015, 628, 543, 476, 3445, 628, 2600, 3796, 693, 1034, 1384, 2791, 949, 581, 3206, 602, 2094, 476, 271, 260, 543, 476, 1911, 260, 616, 16934, 267, 15983, 649, 666, 1205, 519, 476, 272, 560, 543, 476, 4200, 628, 30878, 267, 1318, 286, 654, 3994, 269, 3502, 1152, 1281, 519, 25783, 290, 28718, 4041, 9950, 311, 290, 1599, 608, 11079, 519, 476, 271, 260, 543, 476, 1911, 9077, 855, 849, 11498, 602, 17181, 780, 1692, 1454, 519, 1599, 11498, 602, 17181, 5673, 593, 519, 1297, 540, 2418, 538, 519, 3892, 269, 3776, 1383, 814, 476, 1015, 2418, 538, 1297, 543, 649, 991, 693, 2547, 476, 280, 2418, 547, 1205, 519, 476, 3445, 628, 543, 476, 1015, 628, 2600, 3796, 269, 6684, 267, 596, 991, 476, 15886, 2418, 547, 5173, 519, 476, 4200, 269, 280, 628, 543, 476, 271, 269, 272, 560, 2600, 3796, 780, 2080, 779, 606, 2653, 1259, 547, 5173, 519, 3803, 2600, 3796, 630, 528, 519, 5207, 543, 9803, 2418, 540, 737, 264, 596, 666, 946, 2687, 547, 519, 1297, 540, 2418, 538, 707, 1239, 1384, 1892, 11612, 4554, 737, 281, 562, 14370, 333, 266, 272, 994, 1892, 8899, 652, 737, 281, 476, 272, 14370, 333, 266, 272, 2020, 333, 568, 519, 1297, 540, 2418, 538, 519, 3892, 269, 1403, 737, 568, 711, 1063, 891, 2418, 267, 519, 1599, 786, 2132, 519, 1948, 301, 9331, 256, 5470, 269, 1924, 1577, 779, 4019, 519, 8473, 1467, 737, 2418, 547, 938, 2013, 1383, 1384, 763, 4542, 649, 616, 1210, 585, 519, 9803, 737, 538, 938, 1383, 1384, 319, 284, 272, 14370, 1015, 266, 272, 23375, 692, 1607, 7024, 737, 607, 476, 271, 269, 271, 3445, 3445, 280, 6021, 692, 4517, 649, 3580, 946, 713, 4542, 585, 519, 5207, 1871, 540, 737, 609, 476, 1015, 2418, 538, 519, 3892, 1384, 319, 284, 1015, 14370, 1015, 266, 272, 23375, 692, 1607, 786, 2132, 519, 1871, 476, 271, 269, 3445, 280, 271, 3445, 11011, 692, 1012, 25783, 290, 28718, 4041, 269, 2562, 290, 5288, 25783, 290, 28718, 4041, 9950, 311, 290, 692, 1103, 1034, 2665, 267, 621, 1058, 581, 1434, 2614, 547, 946, 25783, 290, 28718, 4041, 269, 2562, 290, 269, 634, 6305, 3017, 1063, 1210, 519, 1079, 3252, 568, 519, 2039, 540, 737, 538, 519, 3252, 269, 769, 519, 25783, 290, 28718, 4041, 269, 2562, 290, 1599, 267, 519, 10421, 585, 737, 568, 547, 581, 1063, 476, 271, 543, 476, 1911, 538, 13254, 780, 4407, 713, 568, 849, 3020, 585, 519, 25783, 290, 28718, 4041, 9950, 311, 290, 1599, 267, 519, 3606, 17181, 568, 602, 540, 519, 1283, 543, 5377, 2418, 607, 737, 780, 2026, 596, 666, 1294, 2630, 267, 1256, 519, 476, 11011, 560, 543, 476, 280, 628, 2600, 3796, 616, 711, 2301, 762, 585, 476, 1015, 2418, 538, 519, 10471, 269, 609, 811, 2418, 538, 519, 10471, 267, 2362, 543, 2539, 2600, 3796, 786, 1376, 4742, 2301, 762, 780, 763, 3877, 540, 519, 5021, 543, 5934, 1871, 540, 737, 602, 666, 581, 1031, 538, 519, 25783, 290, 28718, 4041, 9950, 311, 290, 1599, 814, 1044, 5941, 1657, 269, 24641, 1022, 30878, 689, 476, 271, 260, 547, 476, 1911, 260, 666, 581, 7229, 1210, 519, 25783, 290, 28718, 4041, 269, 2562, 290, 1599, 780, 21008, 532, 519, 25739, 2418, 540, 519, 1079, 3252, 267, 4063, 602, 519, 476, 2004, 628, 30878, 568, 519, 1482, 538, 1312, 269, 634, 824, 2600, 3796, 8428, 543, 3262, 856, 547, 22771, 585, 519, 7508, 2212, 543, 2766, 2600, 3796, 780, 1607, 568, 1946, 596, 666, 1294, 476, 4366, 7436, 607, 519, 476, 1911, 628, 30878, 538, 519, 25783, 290, 28718, 4041, 269, 2562, 290, 1599, 543, 513, 2673, 476, 5325, 269, 276, 7436, 607, 519, 476, 3445, 628, 30878, 538, 519, 25783, 290, 28718, 4041, 9950, 311, 290, 1599, 780, 3528, 1631, 649, 2461, 4712, 547, 2015, 938, 2634, 512, 6150, 609, 2600, 3796, 543, 4126, 513, 1434, 2600, 540, 707, 2634, 814, 12842, 2221, 779, 3992, 269, 1284, 14437, 827, 12719, 2600, 3796, 543, 1018, 519, 30878, 3252, 538, 9185, 616, 782, 827, 269, 1703, 781, 849, 1900, 476, 273, 547, 30878, 9273, 952, 596, 1616, 519, 21159, 585, 1142, 6060, 607, 829, 519, 30878, 1062, 269, 1284, 3513, 2911, 827, 602, 930, 824, 942, 269, 19402, 1287, 267, 1175, 9185, 256, 0, 7072, 547, 10699, 545, 32243, 281, 9502, 267, 6201, 267, 543, 22062, 687, 692, 8139, 12945, 3952, 568, 1898, 585, 4896, 3238, 538, 7403, 543, 4320, 9273, 269, 901, 568, 513, 1770, 540, 6482, 1031, 547, 22945, 519, 4320, 269, 898, 568, 4122, 1031, 547, 2268, 519, 4390, 610, 2450, 540, 11149, 267, 11623, 267, 5656, 267, 543, 1585, 3615, 780, 1607, 2376, 786, 1683, 596, 267, 609, 519, 4214, 540, 12945, 3952, 267, 1806, 267, 7503, 2188, 267, 9819, 540, 2834, 543, 12150, 5546, 538, 12945, 905, 1115, 267, 543, 1806, 585, 1732, 8223, 269, 1924, 267, 1577, 779, 1376, 513, 3460, 547, 2150, 773, 519, 13655, 540, 10699, 545, 3952, 2439, 14240, 540, 10699, 545, 32243, 1384, 763, 1770, 540, 6482, 602, 4564, 519, 4320, 540, 513, 476, 274, 8820, 1843, 568, 1634, 607, 12945, 3952, 630, 1111, 23326, 1040, 898, 568, 6508, 689, 519, 1587, 540, 476, 274, 561, 10719, 7516, 281, 20099, 267, 8700, 267, 543, 4463, 269, 634, 6364, 4320, 568, 6829, 538, 12945, 905, 1115, 950, 476, 274, 5276, 7516, 616, 6027, 538, 905, 1115, 780, 763, 16754, 540, 10699, 545, 32243, 1384, 2414, 5173, 519, 4320, 538, 12945, 3952, 540, 513, 14328, 1843, 610, 2230, 1384, 290, 889, 545, 3952, 815, 700, 6398, 654, 6398, 670, 630, 21920, 267, 8700, 267, 543, 4463, 538, 3952, 2020, 3528, 14921, 519, 3259, 267, 8700, 267, 543, 4463, 540, 519, 1843, 610, 2230, 267, 782, 6027, 538, 3952, 267, 596, 666, 3489, 519, 4320, 538, 12945, 3952, 780, 15612, 908, 10699, 545, 32243, 585, 8617, 543, 7054, 10585, 25609, 1384, 2171, 666, 5173, 12945, 905, 1115, 540, 2834, 543, 12150, 5546, 676, 1114, 2409, 780, 19894, 5546, 1384, 19894, 5546, 723, 1134, 20452, 7516, 971, 607, 18695, 610, 14328, 929, 3359, 269, 1677, 5173, 519, 4320, 267, 3259, 267, 8700, 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 ]

[ 269, 4173, 7209, 729, 2182, 267, 4411, 267, 543, 943, 3415, 269, 2701, 729, 14678, 20247, 27419, 676, 2550, 543, 5234, 855, 1185, 1100, 23319, 875, 4896, 5433, 269, 4107, 540, 721, 20493, 547, 1200, 3068, 267, 5828, 2476, 267, 1500, 20868, 8188, 267, 610, 12758, 513, 9416, 1524, 938, 31462, 1846, 2507, 513, 8909, 569, 14902, 762, 3510, 563, 296, 5433, 562, 1021, 748, 607, 594, 9289, 952, 16910, 18333, 779, 7319, 13427, 12837, 543, 2250, 344, 1950, 542, 8507, 689, 1932, 1454, 12250, 1426, 543, 1166, 2803, 1417, 8654, 269, 16910, 18333, 729, 19220, 995, 267, 14669, 267, 543, 513, 6529, 2401, 585, 3652, 543, 6042, 269, 2701, 729, 14220, 602, 1352, 22821, 1406, 1500, 621, 547, 519, 1283, 540, 519, 17885, 554, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3682, 322, 2858, 1588, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 3281, 14601, 10263, 1315, 4937, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 513, 6505, 543, 13566, 4884, 1572, 14675, 6807, 267, 5030, 1079, 1655, 2828, 267, 7665, 543, 15039, 269, 1358, 941, 8049, 827, 3388, 1472, 873, 543, 6068, 1565, 1007, 1919, 256, 2290, 1554, 267, 1247, 4730, 2282, 741, 5172, 3529, 5264, 267, 789, 8068, 1945, 9490, 780, 257, 299, 1176, 2437, 4280, 7665, 267, 31153, 1010, 1274, 267, 834, 25585, 798, 1250, 10772, 1745, 782, 17808, 909, 3006, 12482, 299, 1176, 2219, 585, 513, 4090, 1354, 1065, 2391, 267, 834, 11039, 7665, 267, 938, 4703, 723, 5863, 2081, 540, 2921, 1416, 540, 2933, 256, 9894, 596, 917, 602, 938, 10772, 2965, 2973, 2933, 12482, 16655, 6743, 14281, 267, 834, 3725, 958, 286, 1809, 875, 12482, 257, 5978, 10772, 3132, 1274, 342, 1314, 799, 20637, 7452, 543, 824, 5536, 267, 5329, 873, 689, 2469, 2620, 3330, 938, 10772, 2437, 6045, 15039, 269, 834, 10190, 267, 950, 649, 2911, 610, 25261, 267, 519, 3350, 2337, 1847, 519, 1274, 342, 1314, 856, 7444, 3010, 9617, 1287, 267, 30985, 595, 1328, 267, 519, 8797, 2025, 22559, 829, 3481, 593, 513, 7404, 7936, 267, 16403, 539, 538, 267, 834, 6546, 781, 1318, 267, 3214, 256, 1656, 1210, 10412, 2220, 11274, 666, 7903, 519, 14589, 4514, 883, 519, 1274, 12324, 267, 4929, 2800, 547, 707, 10347, 552, 731, 5300, 3010, 30342, 19832, 676, 1018, 789, 4121, 267, 7665, 543, 15039, 4956, 547, 3262, 519, 2262, 2429, 14675, 6807, 269, 1717, 267, 1256, 1310, 7368, 21855, 267, 930, 1869, 29739, 593, 7738, 741, 10772, 609, 10412, 2220, 11274, 269, 901, 521, 5417, 2989, 7665, 543, 15039, 267, 945, 24714, 3025, 1131, 1174, 519, 2956, 540, 15603, 2470, 1491, 922, 1576, 780, 3080, 6397, 1554, 267, 1282, 513, 18979, 7088, 267, 4057, 6004, 269, 16399, 267, 945, 2760, 11074, 1210, 10412, 2220, 11274, 5103, 519, 21855, 267, 18417, 533, 12097, 1010, 552, 731, 5300, 1247, 3843, 547, 2973, 1010, 10772, 269, 3571, 1158, 10393, 4904, 609, 16563, 267, 1818, 1864, 8275, 519, 4644, 540, 18245, 519, 2067, 13300, 540, 1010, 1378, 1560, 269, 3245, 602, 1554, 4464, 267, 646, 12247, 539, 2760, 1586, 547, 15936, 609, 1010, 10772, 262, 1582, 268, 2193, 753, 532, 1184, 780, 1103, 3932, 267, 1498, 621, 1522, 3100, 15673, 532, 547, 1199, 323, 548, 609, 938, 4703, 262, 3252, 267, 1620, 741, 14960, 2636, 721, 547, 5660, 873, 1732, 269, 6884, 267, 6028, 1919, 4805, 666, 1291, 547, 8748, 8906, 11652, 7864, 10913, 1932, 256, 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, 2108, 3674, 621, 2556, 547, 2973, 707, 10772, 609, 10412, 2220, 11274, 888, 5591, 267, 1210, 10412, 2220, 11274, 547, 2973, 707, 10772, 568, 711, 5227, 607, 621, 666, 7903, 1274, 342, 1314, 2417, 883, 519, 1274, 12324, 543, 5732, 3441, 519, 552, 731, 5300, 269, 661, 1513, 616, 1582, 268, 2193, 22135, 267, 543, 1022, 4430, 1274, 342, 1314, 2356, 7575, 856, 540, 519, 1274, 6923, 14325, 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, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 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, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 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 ]

[ 0, 763, 8305, 334, 17209, 568, 606, 1898, 1907, 585, 1614, 8820, 8343, 540, 3615, 543, 15013, 269, 898, 2934, 1079, 5094, 2363, 788, 773, 806, 267, 3246, 513, 10822, 22811, 2070, 602, 5702, 13147, 923, 1480, 5075, 267, 3850, 585, 6899, 543, 15138, 8343, 269, 901, 1826, 540, 17209, 568, 3226, 3730, 585, 6313, 3677, 267, 32630, 267, 610, 1614, 8820, 15013, 971, 607, 7725, 267, 7786, 267, 610, 5547, 12545, 269, 853, 699, 334, 9145, 8554, 1419, 2709, 2539, 3172, 2305, 2157, 3379, 547, 7623, 9145, 8554, 855, 14133, 538, 3246, 513, 6626, 2361, 540, 2070, 543, 3178, 8226, 269, 4256, 11684, 1374, 2306, 873, 16832, 538, 4610, 899, 7350, 267, 20569, 267, 11418, 267, 543, 5663, 585, 4247, 602, 2154, 5730, 267, 1614, 8820, 14839, 269, 0, 2026, 513, 2385, 267, 596, 1616, 1018, 779, 1655, 585, 707, 1453, 269, 1879, 621, 2501, 547, 741, 5711, 1072, 543, 7303, 6689, 1286, 625, 267, 596, 949, 723, 4862, 540, 8988, 5603, 710, 21973, 630, 306, 5263, 264, 543, 5959, 13021, 1218, 269, 3657, 891, 5574, 2556, 286, 1548, 616, 789, 543, 1018, 779, 519, 3017, 1063, 873, 286, 1411, 949, 849, 581, 11842, 799, 2126, 568, 1318, 585, 707, 1126, 267, 610, 952, 835, 568, 1732, 982, 519, 824, 269, 2755, 1312, 540, 891, 5574, 666, 948, 2149, 707, 1126, 779, 4522, 267, 972, 616, 930, 1883, 3604, 1063, 519, 1079, 269, 5901, 2542, 547, 1451, 811, 827, 8988, 5603, 710, 21973, 5288, 269, 5959, 13021, 1218, 2336, 3963, 946, 8988, 5603, 710, 21973, 610, 5959, 13021, 1218, 888, 3080, 540, 519, 1101, 1919, 596, 949, 581, 11842, 607, 513, 2385, 568, 1946, 2901, 540, 891, 5574, 616, 2556, 269, 18234, 5603, 710, 21973, 543, 5959, 13021, 1218, 1312, 960, 547, 2149, 707, 1126, 779, 4522, 689, 19659, 267, 610, 1286, 625, 269, 28533, 885, 1106, 950, 4551, 538, 519, 5023, 1711, 7408, 602, 3548, 2476, 693, 519, 19596, 540, 513, 5694, 269, 634, 811, 3679, 972, 568, 267, 519, 5488, 19659, 666, 1106, 267, 865, 621, 779, 1271, 547, 1491, 15324, 3800, 547, 2149, 707, 1126, 779, 4522, 563, 19013, 267, 19659, 616, 2523, 1455, 538, 1453, 269, 4340, 547, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 2187, 268, 811, 982, 3368, 540, 1453, 6502, 476, 277, 268, 279, 723, 1185, 513, 13570, 538, 693, 2547, 835, 3119, 5694, 454, 268, 811, 982, 3368, 540, 10708, 6502, 476, 1321, 268, 866, 723, 1185, 513, 13570, 538, 693, 2547, 835, 8628, 5694, 454, 290, 822, 885, 666, 2014, 513, 3099, 540, 2042, 585, 1453, 269, 1358, 666, 1291, 547, 5694, 1928, 267, 7411, 4189, 543, 6340, 267, 543, 19659, 666, 1256, 3262, 547, 824, 4522, 952, 789, 616, 711, 5701, 269, 28533, 885, 666, 849, 2014, 519, 16349, 2530, 540, 3119, 4522, 267, 799, 666, 1291, 547, 2042, 971, 607, 32036, 3429, 543, 519, 991, 585, 26966, 545, 2126, 2663, 1524, 519, 4155, 269, 1280, 891, 4128, 267, 12963, 24782, 1419, 4363, 2921, 15324, 3800, 971, 607, 8988, 5603, 710, 21973, 610, 5959, 13021, 1218, 547, 2149, 707, 1126, 779, 4522, 689, 3384, 19659, 563, 22068, 591, 18924, 710, 12071, 528, 728, 630, 306, 5263, 264, 568, 513, 5277, 602, 779, 4294, 547, 519, 4522, 543, 2337, 547, 2061, 19659, 563, 22068, 591, 5603, 710, 21973, 267, 1634, 607, 590, 5263, 267, 568, 606, 2500, 1259, 585, 12963, 24782, 547, 948, 1521, 5694, 9178, 543, 2061, 6689, 1286, 625, 269, 590, 5263, 568, 513, 5277, 602, 3568, 8988, 267, 5603, 710, 630, 534, 5214, 7623, 1070, 543, 21973, 269, 898, 568, 1031, 607, 513, 22521, 2126, 585, 19659, 538, 4522, 267, 2523, 538, 1453, 543, 11361, 2550, 945, 723, 7411, 18460, 2757, 13570, 30836, 269, 634, 5277, 568, 4294, 547, 2127, 540, 519, 5694, 602, 616, 1034, 12155, 547, 5694, 9178, 267, 538, 1931, 547, 3247, 9178, 689, 10825, 2417, 269, 769, 1249, 267, 2090, 2303, 602, 7311, 713, 5277, 666, 26699, 5694, 9178, 602, 814, 2907, 13175, 543, 2061, 2104, 9178, 563, 2691, 4294, 547, 519, 2627, 540, 513, 13570, 267, 590, 5263, 1568, 538, 1896, 2081, 547, 948, 2061, 519, 11144, 540, 519, 9178, 543, 3895, 7067, 540, 519, 5694, 912, 268, 25095, 17424, 2962, 281, 18234, 568, 513, 1134, 8153, 27611, 8665, 267, 799, 2337, 547, 6146, 519, 4551, 3743, 585, 5694, 9178, 563, 268, 12071, 528, 728, 5305, 281, 12071, 528, 728, 568, 513, 7777, 602, 2337, 547, 7794, 519, 5694, 19596, 267, 1818, 621, 811, 11259, 547, 9178, 269, 634, 21973, 538, 590, 5263, 568, 7444, 5950, 936, 942, 267, 3246, 5571, 4027, 1996, 19659, 543, 19596, 11761, 563, 268, 10266, 8323, 281, 634, 5603, 710, 538, 590, 5263, 814, 606, 20469, 3601, 267, 799, 666, 1683, 7525, 8323, 689, 519, 1928, 543, 8417, 2404, 609, 19659, 563, 268, 853, 3591, 5694, 9178, 281, 590, 5263, 814, 1044, 3254, 547, 3500, 1524, 610, 1256, 3247, 519, 11144, 540, 19659, 267, 799, 666, 581, 2523, 6225, 538, 2550, 945, 723, 2789, 19659, 610, 945, 723, 7411, 18460, 2757, 13570, 5574, 563, 2005, 568, 1271, 547, 4063, 602, 590, 5263, 568, 711, 513, 8628, 3070, 543, 519, 2126, 786, 991, 547, 581, 7368, 10859, 268, 2335, 1302, 538, 1931, 547, 2226, 7145, 269, 3958, 267, 590, 5263, 1281, 711, 5372, 519, 991, 585, 2757, 13570, 30836, 538, 782, 2665, 269, 7053, 267, 519, 8988, 538, 590, 5263, 3123, 513, 18476, 32396, 540, 519, 5701, 1858, 267, 799, 949, 711, 581, 5078, 585, 782, 2550, 269, 1717, 267, 713, 32396, 666, 581, 4988, 609, 513, 3043, 610, 12432, 11423, 563, 3682, 338, 540, 590, 5263, 454, 268, 5440, 673, 3498, 609, 1100, 991, 585, 17656, 610, 23236, 454, 268, 16199, 1206, 4540, 5694, 9178, 543, 11151, 2104, 9178, 454, 8256, 540, 590, 5263, 454, 268, 5463, 26359, 2127, 786, 12962, 3109, 454, 268, 16200, 17285, 6492, 543, 17627, 454, 268, 20126, 547, 581, 31272, 29736, 10859, 268, 2335, 1302, 454, 291, 1581, 13021, 1218, 616, 849, 4294, 547, 519, 4522, 267, 855, 789, 957, 607, 513, 11064, 1996, 1426, 543, 4551, 563, 288, 5959, 13021, 656, 568, 513, 6094, 267, 8825, 15098, 602, 568, 4294, 547, 519, 21400, 7252, 540, 519, 1394, 4522, 630, 2181, 28485, 1513, 543, 12387, 1513, 264, 547, 948, 2061, 19659, 543, 5694, 9178, 269, 898, 568, 2356, 7768, 540, 28778, 610, 12432, 18300, 267, 543, 666, 581, 3043, 267, 2312, 267, 610, 2688, 20083, 547, 519, 2067, 5694, 2681, 269, 634, 13021, 656, 6411, 607, 513, 11064, 267, 27575, 856, 15799, 543, 1426, 5536, 602, 666, 1205, 16290, 538, 519, 9240, 7174, 543, 29365, 540, 891, 4522, 267, 1141, 513, 28750, 666, 1406, 2141, 3914, 269, 1530, 531, 1218, 666, 849, 581, 1031, 547, 26699, 519, 11144, 540, 1875, 2275, 822, 18469, 1286, 625, 15087, 538, 519, 4522, 563, 28074, 899, 590, 5263, 267, 519, 1184, 540, 7311, 513, 5959, 13021, 656, 568, 2656, 543, 1928, 1652, 269, 634, 5694, 568, 19345, 543, 12015, 267, 543, 1287, 606, 1696, 4221, 3070, 568, 4294, 547, 519, 21400, 2627, 547, 1711, 513, 11315, 2627, 585, 519, 13021, 656, 547, 15666, 547, 269, 634, 5277, 13021, 656, 568, 1287, 13556, 5196, 519, 5694, 267, 1141, 621, 3533, 2182, 839, 883, 513, 14463, 267, 8825, 13104, 563, 5353, 531, 1218, 616, 2523, 6225, 585, 1453, 543, 14038, 267, 4171, 8628, 12387, 1513, 616, 1869, 4947, 538, 543, 945, 949, 711, 723, 2919, 519, 8261, 32609, 614, 640, 610, 17678, 6208, 2556, 547, 3927, 2973, 782, 7252, 540, 741, 4522, 269, 1717, 267, 5959, 13021, 1218, 666, 581, 4294, 547, 4079, 607, 1134, 543, 666, 1683, 606, 3063, 4494, 540, 4027, 1996, 19659, 543, 9178, 269, 5525, 1397, 602, 13021, 1218, 6175, 519, 1981, 540, 5694, 9178, 538, 12387, 1513, 676, 607, 1454, 607, 476, 3199, 18336, 3682, 338, 540, 15482, 1530, 531, 1218, 454, 268, 2776, 24000, 5694, 9178, 454, 268, 2349, 1742, 538, 609, 519, 2067, 5694, 2681, 454, 268, 5440, 673, 3498, 609, 1100, 991, 585, 17656, 610, 23236, 454, 268, 8307, 991, 547, 581, 4294, 2899, 1169, 1906, 1296, 454, 8256, 540, 15482, 1530, 531, 1218, 454, 268, 2052, 2254, 581, 1031, 547, 26699, 4540, 19659, 454, 268, 570, 1389, 5594, 3476, 982, 590, 5263, 547, 4019, 454, 268, 1230, 13935, 513, 1295, 4593, 2544, 2179, 540, 645, 5183, 630, 560, 650, 2808, 2922, 994, 13828, 590, 5263, 543, 5959, 13021, 1218, 616, 2500, 693, 7303, 19659, 543, 7863, 4522, 689, 9178, 563, 11997, 267, 519, 3903, 1063, 519, 1079, 786, 4096, 593, 519, 1808, 2115, 543, 6381, 540, 519, 3461, 563, 291, 1581, 13021, 1218, 616, 513, 23833, 2126, 602, 616, 3335, 4294, 547, 519, 21400, 7252, 540, 519, 1394, 4522, 630, 2181, 28485, 1513, 543, 12387, 1513, 264, 547, 948, 2061, 1426, 543, 15799, 689, 3478, 16290, 538, 519, 9240, 7174, 543, 29365, 540, 891, 4522, 269, 1358, 616, 4122, 4294, 547, 2635, 4522, 543, 5924, 4522, 602, 616, 1175, 4358, 547, 1397, 4191, 540, 2038, 9178, 269, 1530, 531, 1218, 616, 3622, 5227, 585, 1453, 543, 14038, 267, 855, 666, 849, 581, 4294, 547, 4079, 563, 22068, 591, 5603, 710, 21973, 630, 306, 5263, 1070, 593, 519, 824, 1688, 267, 568, 1031, 607, 513, 2126, 585, 19659, 602, 723, 2907, 4646, 269, 590, 5263, 1568, 676, 11318, 4551, 267, 16089, 21973, 267, 543, 3246, 1928, 8323, 267, 543, 666, 581, 2523, 3730, 538, 2550, 945, 723, 2789, 19659, 267, 945, 723, 7411, 18460, 2757, 13570, 30836, 267, 610, 945, 723, 2027, 2115, 563, 1103, 2489, 267, 5959, 13021, 1218, 616, 1732, 585, 7303, 19659, 689, 8108, 267, 1247, 590, 5263, 568, 1732, 585, 8156, 4540, 19659, 543, 23646, 1524, 610, 16069, 519, 11144, 540, 9178, 269, 1717, 267, 519, 1655, 1935, 786, 4096, 593, 519, 1367, 3461, 543, 741, 2189, 2115, 267, 543, 513, 11290, 786, 581, 2111, 547, 1118, 519, 1655, 16252, 1310, 10442, 519, 3461, 779, 5711, 1072, 563, 22068, 591, 5603, 710, 21973, 630, 306, 5263, 264, 543, 5959, 13021, 1218, 616, 1312, 2500, 693, 7303, 19659, 267, 855, 789, 723, 930, 1883, 3604, 269, 590, 5263, 568, 1031, 547, 1521, 4540, 19659, 267, 1247, 5959, 13021, 1218, 616, 5097, 1031, 547, 2061, 19659, 689, 8108, 15587, 269, 5637, 666, 581, 4294, 1283, 1227, 267, 855, 5959, 13021, 1218, 2063, 3476, 267, 1247, 590, 5263, 2115, 547, 581, 31272, 29736, 7466, 513, 1032, 269, 11086, 267, 519, 8159, 3815, 585, 14045, 799, 568, 1655, 568, 519, 1367, 2115, 540, 519, 3461, 269, 1677, 1451, 811, 827, 891, 1079, 5574, 543, 547, 1265, 856, 799, 568, 1318, 585, 707, 1126, 267, 8430, 606, 13393, 609, 835, 540, 938, 12963, 24782, 2221, 256, 0, 31995, 18507, 3214, 267, 3450, 14696, 543, 875, 547, 581, 1543, 616, 1271, 547, 2679, 513, 2178, 1915, 269, 5753, 616, 711, 4535, 6616, 875, 547, 581, 9684, 995, 610, 18507, 269, 1924, 267, 875, 666, 649, 1332, 18507, 3214, 286, 1215, 666, 649, 4001, 938, 1453, 547, 581, 1543, 543, 9684, 995, 286, 1703, 616, 1896, 2653, 2081, 547, 3142, 713, 883, 707, 3232, 2729, 267, 865, 707, 1453, 1332, 909, 6029, 14696, 563, 763, 1297, 835, 3364, 513, 2385, 666, 798, 547, 4001, 741, 1453, 875, 547, 581, 18507, 568, 547, 1291, 676, 1383, 269, 8866, 4585, 543, 1451, 811, 689, 1018, 789, 1294, 267, 982, 689, 1018, 789, 5873, 269, 3399, 689, 950, 707, 1126, 568, 1360, 1762, 543, 2253, 547, 2936, 2081, 547, 1397, 9684, 6888, 543, 1543, 618, 883, 707, 3232, 2729, 269, 9232, 589, 476, 1001, 277, 1353, 3370, 538, 11930, 25833, 3163, 277, 1336, 602, 18507, 3237, 4043, 547, 6318, 18507, 1453, 1848, 2422, 4052, 2081, 538, 707, 4948, 1272, 547, 1397, 707, 1453, 1018, 621, 5654, 899, 547, 581, 18507, 543, 2186, 269, 17166, 968, 628, 1678, 596, 892, 547, 1346, 1472, 596, 267, 2523, 950, 707, 3214, 616, 8384, 269, 2142, 2386, 547, 2161, 968, 628, 1678, 596, 892, 547, 707, 3214, 950, 789, 948, 610, 798, 1945, 269, 6733, 585, 2081, 547, 1397, 707, 14696, 547, 1920, 267, 2828, 267, 543, 1004, 1472, 596, 269, 13185, 827, 1018, 621, 1797, 547, 581, 18507, 609, 707, 1453, 543, 1397, 873, 707, 14696, 543, 1543, 618, 269, 634, 14812, 616, 513, 1390, 942, 540, 1032, 547, 1397, 14696, 543, 2285, 7064, 269, 898, 779, 711, 2614, 547, 2995, 1453, 267, 621, 779 ]

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

[ 307, 7505, 13911, 6025, 7505, 994, 672, 2608, 476, 24801, 955, 454, 672, 2608, 16849, 519, 1826, 540, 713, 18351, 269, 476, 901, 1826, 786, 6474, 835, 540, 519, 454, 672, 2608, 1739, 679, 10179, 730, 1826, 21635, 281, 2999, 13892, 285, 292, 29996, 9572, 13892, 285, 2676, 672, 2608, 2999, 13892, 285, 306, 7968, 2752, 2969, 3036, 9572, 13892, 285, 267, 2999, 13892, 285, 310, 16704, 9572, 13892, 285, 267, 2999, 13892, 285, 301, 9331, 21612, 9572, 13892, 285, 2676, 672, 2608, 2999, 13892, 285, 22552, 5058, 9572, 13892, 285, 267, 610, 2999, 13892, 285, 8008, 2207, 2969, 3036, 9572, 13892, 285, 563, 825, 8173, 825, 570, 7505, 13911, 1205, 307, 7505, 13911, 263, 560, 323, 15311, 11415, 18351, 264, 1526, 692, 825, 8173, 672, 2608, 6396, 281, 1205, 13142, 454, 672, 2608, 26402, 281, 703, 669, 815, 31554, 10947, 13142, 4590, 672, 2608, 476, 5785, 734, 454, 672, 2608, 3367, 338, 519, 1985, 1915, 689, 519, 31554, 3403, 6908, 563, 825, 8173, 825, 1219, 1205, 13142, 10031, 1038, 2132, 568, 335, 10947, 10797, 825, 8173, 672, 2608, 6396, 281, 796, 1326, 13142, 454, 672, 2608, 26402, 281, 31554, 26509, 1326, 13142, 263, 577, 994, 672, 2608, 476, 10900, 955, 8894, 672, 2608, 623, 16640, 519, 1915, 2999, 13892, 285, 577, 9572, 13892, 285, 1394, 883, 519, 31554, 6908, 563, 672, 2608, 634, 1915, 1590, 6474, 519, 835, 602, 729, 1224, 563, 825, 8173, 825, 1219, 796, 1326, 13142, 17301, 669, 17107, 825, 8173, 672, 2608, 6396, 281, 1205, 21803, 19368, 454, 672, 2608, 26402, 281, 5569, 1193, 815, 31554, 10947, 21803, 19368, 6025, 7505, 994, 672, 2608, 476, 24801, 734, 454, 672, 2608, 16849, 519, 5569, 1871, 540, 513, 18351, 269, 476, 901, 1871, 568, 4646, 676, 9427, 454, 672, 2608, 1022, 4478, 19722, 7436, 543, 13868, 9101, 9696, 676, 519, 454, 672, 2608, 3617, 3197, 563, 825, 8173, 825, 31901, 15311, 11415, 1205, 21803, 19368, 263, 560, 323, 15311, 11415, 18351, 264, 1526, 692, 825, 5727, 17721, 3296, 20701, 825, 5727, 20594, 20594, 20594, 20594, 7052, 265, 13045, 825, 5727, 8074, 281, 18421, 2630, 713, 1448, 538, 519, 3758, 568, 25401, 851, 567, 8173, 825, 5727, 540, 519, 6388, 543, 1058, 711, 581, 540, 1719, 547, 7218, 269, 567, 8173, 825, 5727, 20594, 20594, 20594, 20594, 7052, 265, 270, 692, 825, 8173, 672, 2608, 17721, 1826, 281, 21642, 28053, 454, 672, 2608, 476, 10900, 454, 672, 2608, 901, 1826, 568, 1031, 547, 4020, 5532, 8638, 540, 2281, 267, 799, 616, 1031, 454, 672, 2608, 547, 2099, 1312, 519, 10518, 540, 10710, 21797, 543, 519, 1305, 540, 3989, 454, 672, 2608, 12427, 269, 476, 1452, 2010, 3112, 946, 519, 29571, 543, 22858, 6625, 5049, 454, 672, 2608, 2047, 1317, 21797, 4754, 1676, 19544, 568, 606, 5393, 1970, 7400, 8818, 2676, 672, 2608, 543, 3257, 865, 1131, 1711, 9764, 29444, 538, 519, 1547, 327, 6119, 563, 825, 8173, 825, 1362, 21642, 28053, 912, 1038, 1219, 6449, 8181, 9191, 2187, 2018, 1193, 337, 454, 2018, 3095, 454, 672, 692, 825, 1362, 7089, 306, 4754, 1676, 13750, 912, 1038, 5442, 296, 2316, 3201, 318, 4306, 12442, 815, 476, 271, 454, 1038, 645, 9128, 16800, 32707, 4488, 8379, 3201, 318, 17269, 19860, 815, 476, 272, 454, 1038, 19200, 9898, 32707, 4488, 8379, 3201, 318, 17269, 19860, 815, 476, 273, 454, 1038, 5254, 2752, 16249, 318, 13052, 303, 2177, 7728, 815, 476, 274, 454, 1038, 674, 5495, 21254, 318, 13052, 303, 2177, 7728, 318, 306, 22218, 815, 476, 275, 454, 1038, 14662, 3198, 301, 5058, 318, 13052, 303, 2177, 7728, 815, 476, 276, 454, 1038, 674, 2562, 3201, 318, 4306, 12442, 815, 476, 277, 7531, 825, 17280, 23526, 5727, 634, 3312, 4661, 5569, 12163, 825, 568, 335, 19930, 5727, 634, 3403, 6908, 585, 21797, 8173, 825, 536, 944, 5569, 19152, 14503, 698, 2018, 5727, 25035, 10834, 5569, 3403, 12163, 825, 536, 944, 11716, 2662, 2572, 10628, 14503, 698, 11434, 5727, 2480, 534, 1676, 5337, 2803, 16543, 10628, 476, 8173, 825, 536, 944, 11716, 4467, 906, 14503, 698, 1363, 5727, 2480, 534, 1676, 5337, 2803, 8292, 825, 8173, 825, 536, 944, 11571, 301, 13246, 14503, 698, 2018, 5727, 2480, 534, 1676, 16163, 525, 2338, 8587, 8173, 825, 536, 944, 11571, 18360, 902, 14503, 698, 2018, 5727, 2480, 534, 1676, 16163, 525, 12673, 8587, 8173, 825, 31901, 15311, 11415, 2262, 2419, 1513, 19930, 5727, 16952, 2262, 3197, 476, 8173, 825, 21642, 28053, 2608, 338, 8491, 27717, 839, 1363, 5727, 29571, 540, 10710, 21797, 11434, 8173, 825, 21642, 28053, 2608, 6016, 2209, 19930, 5727, 5903, 540, 1617, 747, 541, 12427, 29185, 825, 5727, 17721, 1505, 30384, 12163, 825, 1219, 2332, 306, 4754, 1676, 4590, 825, 1219, 18178, 8967, 2167, 4590, 825, 31901, 15311, 11415, 11571, 17504, 4590, 825, 31901, 15311, 11415, 11571, 10831, 10797, 825, 1219, 11571, 21803, 10031, 1038, 31901, 15311, 11415, 18351, 815, 834, 4840, 1038, 1347, 1642, 574, 815, 568, 335, 15010, 1326, 4590, 1038, 18351, 6834, 1642, 574, 454, 1038, 9101, 815, 8771, 454, 1038, 1247, 630, 25152, 2187, 2018, 703, 669, 815, 568, 335, 15010, 1326, 4590, 2018, 952, 630, 577, 2652, 661, 29996, 264, 5470, 2891, 2675, 534, 21803, 281, 1336, 796, 32558, 730, 5569, 5602, 2018, 952, 630, 577, 2652, 1642, 574, 543, 711, 9101, 264, 2736, 454, 2018, 9101, 815, 630, 577, 2652, 1412, 11138, 10807, 543, 711, 9101, 454, 2018, 18351, 6834, 669, 28329, 825, 2132, 18351, 1341, 1642, 574, 692, 825, 536, 944, 568, 23330, 1807, 263, 560, 323, 15311, 11415, 1566, 994, 825, 536, 944, 568, 23330, 1807, 7093, 25785, 263, 560, 323, 15311, 11415, 1566, 2020, 692, 3698, 1305, 19152, 19304, 337, 2187, 825, 5569, 19152, 14503, 698, 815, 3020, 454, 825, 17280, 815, 1193, 337, 454, 825, 568, 335, 815, 1007, 31901, 15311, 626, 2590, 6894, 6357, 4428, 518, 994, 825, 10710, 27717, 839, 815, 715, 26097, 7531, 3698, 1305, 19152, 263, 560, 323, 15311, 626, 3195, 1299, 1102, 850, 2187, 825, 5569, 19152, 14503, 698, 815, 7301, 454, 825, 568, 335, 815, 1299, 8882, 850, 454, 825, 10710, 27717, 839, 815, 715, 26097, 7531, 321, 944, 1219, 814, 5415, 27717, 839, 10031, 825, 31901, 15311, 11415, 18351, 815, 1985, 307, 7505, 4590, 825, 4688, 307, 7505, 6025, 7505, 994, 825, 2132, 630, 339, 7505, 11203, 834, 257, 9239, 560, 323, 15311, 11415, 1219, 1985, 307, 7505, 10031, 825, 952, 630, 1345, 4732, 8491, 27717, 839, 11203, 715, 26097, 2187, 1038, 524, 335, 815, 1582, 4732, 8491, 27717, 839, 454, 1038, 18351, 815, 524, 335, 269, 1598, 337, 454, 1038, 10710, 27717, 839, 815, 524, 335, 7456, 1074, 454, 1038, 1948, 18419, 524, 335, 7790, 888, 1038, 2132, 18351, 22562, 825, 1247, 630, 25152, 2187, 1038, 952, 630, 793, 648, 2662, 2572, 10628, 14503, 698, 2187, 2018, 18178, 8967, 2167, 4590, 1038, 669, 815, 1582, 269, 7371, 10947, 4590, 1038, 952, 630, 577, 2652, 26230, 543, 11716, 4467, 906, 14503, 698, 2187, 2018, 669, 815, 568, 335, 10947, 4590, 2018, 952, 630, 577, 2652, 26230, 2187, 3546, 1247, 630, 25152, 2187, 7386, 669, 815, 568, 335, 10947, 4590, 7386, 952, 630, 577, 2652, 1412, 315, 333, 262, 610, 669, 2652, 1412, 315, 337, 262, 610, 669, 2652, 661, 29996, 264, 2736, 454, 4449, 454, 3546, 3136, 454, 17264, 3116, 952, 630, 577, 2652, 25952, 2187, 3546, 703, 7173, 815, 661, 29996, 454, 3546, 1247, 630, 25152, 2187, 7386, 669, 815, 568, 335, 15010, 1326, 4590, 7386, 952, 630, 577, 2652, 661, 29996, 610, 630, 2181, 341, 2652, 25952, 543, 669, 2652, 26230, 4297, 2736, 454, 7386, 7173, 815, 669, 454, 4449, 454, 3546, 3136, 454, 27030, 2018, 952, 630, 577, 11203, 661, 29996, 264, 568, 335, 15010, 684, 1326, 4590, 2018, 669, 815, 23367, 7055, 13872, 1038, 952, 630, 577, 2652, 661, 29996, 264, 2132, 834, 4840, 1038, 952, 16733, 577, 2652, 1412, 257, 262, 610, 669, 2652, 1412, 315, 5257, 264, 543, 11571, 18360, 902, 14503, 698, 2187, 2018, 568, 335, 15010, 684, 1326, 4590, 2018, 2132, 11571, 21803, 4590, 13872, 1038, 952, 630, 577, 18994, 323, 13424, 3890, 543, 11571, 301, 13246, 14503, 698, 2187, 2018, 568, 335, 26509, 1326, 4590, 2018, 2132, 11571, 10831, 4590, 13872, 1038, 952, 630, 529, 17504, 23322, 263, 577, 15892, 2018, 568, 335, 26509, 1326, 4590, 2018, 2132, 11571, 17504, 4590, 13872, 1038, 31901, 15311, 11415, 1566, 815, 31901, 15311, 11415, 263, 272, 267, 669, 994, 1038, 1247, 630, 529, 23330, 1807, 7093, 25785, 263, 641, 15892, 2018, 669, 815, 568, 335, 15010, 1326, 4590, 2018, 952, 630, 577, 2652, 661, 29996, 264, 2736, 454, 2018, 1566, 6834, 669, 28329, 1038, 1247, 630, 641, 32324, 3890, 3436, 476, 272, 543, 711, 568, 23330, 1807, 263, 641, 15892, 2018, 568, 335, 15010, 684, 1326, 4590, 2018, 1566, 269, 518, 848, 263, 641, 32324, 3890, 910, 476, 272, 267, 476, 272, 994, 13872, 1038, 2132, 1566, 454, 672, 7531, 3698, 4688, 307, 7505, 6025, 7505, 2187, 825, 524, 335, 815, 21642, 28053, 4590, 825, 524, 335, 269, 1598, 337, 815, 18351, 454, 825, 524, 335, 7456, 1074, 815, 10710, 27717, 839, 454, 825, 10710, 27717, 839, 815, 524, 335, 7531, 3698, 11716, 2662, 2572, 10628, 10031, 825, 11716, 2662, 2572, 10628, 14503, 698, 815, 3020, 7531, 3698, 11716, 4467, 906, 10031, 825, 11716, 4467, 906, 14503, 698, 815, 3020, 7531, 3698, 11571, 301, 13246, 10031, 825, 11571, 301, 13246, 14503, 698, 815, 3020, 7531, 3698, 11571, 18360, 902, 10031, 825, 11571, 18360, 902, 14503, 698, 815, 3020, 7531, 3698, 1039, 17504, 13142, 3030, 19304, 2187, 825, 2262, 2419, 1513, 6834, 1193, 7531, 3698, 1039, 23330, 1807, 263, 641, 2187, 825, 524, 335, 815, 21642, 28053, 4590, 825, 524, 335, 269, 1598, 337, 815, 1566, 454, 825, 524, 335, 7456, 1074, 815, 12427, 454, 825, 12427, 815, 524, 335, 7531, 3698, 1205, 303, 3789, 3890, 1526, 912, 825, 952, 630, 338, 8491, 27717, 839, 2652, 715, 26097, 2187, 1038, 2132, 703, 263, 7371, 15010, 339, 749, 326, 15405, 672, 3116, 912, 1038, 2132, 703, 263, 7371, 15010, 339, 749, 326, 28829, 910, 10710, 27717, 839, 15010, 1598, 32324, 4590, 672, 7531, 3698, 568, 17504, 23322, 263, 577, 2187, 825, 2132, 669, 18994, 531, 11133, 610, 2262, 2419, 1513, 26098, 263, 577, 264, 11203, 31901, 15311, 11415, 15311, 333, 1842, 7531, 3698, 13182, 307, 7505, 263, 560, 323, 15311, 11415, 4397, 2187, 825, 31901, 15311, 11415, 18351, 815, 1985, 307, 7505, 4590, 825, 952, 630, 339, 7505, 11203, 4397, 2187, 1038, 5470, 2891, 3698, 13182, 307, 7505, 281, 5853, 1422, 3269, 1341, 18351, 1341, 27719, 3269, 30492, 23526, 834, 950, 24584, 1422, 3269, 1341, 4397, 1341, 27719, 3269, 994, 672, 7531, 3698, 1205, 307, 7505, 13911, 6025, 7505, 2187, 825, 952, 630, 339, 7505, 2652, 834, 257, 2187, 1038, 2132, 570, 7505, 13911, 27887, 29996, 994, 825, 1347, 669, 815, 18351, 314, 271, 2639, 825, 952, 630, 1170, 10628, 263, 577, 15892, 1038, 2132, 1582, 2529, 7968, 2752, 2969, 3036, 454, 825, 952, 630, 577, 2652, 1412, 257, 262, 610, 630, 577, 2652, 1412, 315, 5257, 543, 18351, 32324, 3890, 3436, 476, 272, 15892, 1038, 2132, 1582, 2529, 15045, 5058, 454, 825, 952, 630, 577, 18994, 323, 13424, 3890, 2187, 1038, 2132, 1582, 12991, 9331, 21612, 454, 825, 952, 630, 529, 17504, 23322, 263, 577, 15892, 1038, 2132, 1582, 15030, 16704, 454, 825, 2132, 20525, 2207, 2969, 3036, 7531, 3698, 1205, 21803, 19368, 6025, 7505, 2187, 825, 1193, 337, 815, 834, 4840, 825, 1376, 815, 476, 271, 454, 825, 9096, 815, 7003, 6025, 7505, 994, 825, 952, 630, 21129, 880, 3436, 476, 272, 543, 630, 339, 7505, 314, 271, 316, 2652, 1412, 257, 262, 610, 18351, 314, 271, 316, 2652, 1412, 315, 5257, 15892, 1038, 1376, 815, 476, 272, 454, 1038, 9096, 20699, 476, 272, 22562, 825, 585, 1775, 538, 1535, 9792, 263, 11034, 267, 9096, 2187, 1038, 1347, 669, 815, 18351, 5157, 2639, 1038, 952, 630, 577, 2652, 1412, 11138, 262, 2187, 2018, 669, 815, 18351, 314, 10030, 328, 2639, 2018, 952, 630, 577, 18994, 323, 13424, 3890, 610, 669, 2652, 1412, 343, 262, 2187, 3546, 703, 3490, 815, 476, 279, 454, 3546, 952, 630, 577, 2652, 1412, 343, 262, 2187, 7386, 3490, 815, 476, 1626, 454, 7386, 1775, 10030, 454, 4449, 454, 3546, 703, 1267, 815, 476, 271, 454, 3546, 703, 7857, 815, 476, 271, 454, 3546, 1247, 630, 328, 2999, 9096, 2187, 7386, 669, 815, 18351, 5157, 2639, 7386, 952, 630, 577, 18994, 323 ]

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

[ 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, 3848, 476, 1691, 281, 22802, 6513, 543, 5004, 281, 589, 18043, 5811, 692, 296, 269, 4985, 692, 1103, 2221, 781, 3728, 19550, 1870, 1604, 267, 5883, 11891, 814, 1831, 811, 2565, 982, 2479, 1354, 269, 14992, 991, 547, 2327, 789, 723, 2614, 6006, 547, 2743, 6075, 3747, 1247, 10893, 3790, 2404, 609, 8066, 4430, 11891, 269, 901, 3184, 786, 5490, 4514, 883, 11891, 1852, 543, 2359, 2994, 1210, 519, 2013, 1353, 540, 519, 8313, 543, 3892, 540, 853, 20672, 30038, 26856, 781, 3209, 267, 834, 763, 21756, 2060, 519, 22900, 570, 16201, 334, 1701, 1284, 786, 2263, 1585, 2035, 971, 607, 3761, 5832, 2359, 267, 20925, 267, 3106, 13632, 267, 543, 2804, 1931, 7274, 630, 292, 302, 304, 264, 3631, 269, 1635, 6313, 891, 2035, 998, 513, 1483, 8996, 9183, 267, 596, 786, 2744, 513, 1732, 1620, 540, 875, 11891, 2359, 4249, 513, 2629, 1909, 538, 1022, 1870, 5106, 780, 2862, 269, 18242, 20456, 5004, 692, 11045, 569, 5832, 2359, 4016, 547, 519, 11558, 543, 2359, 540, 2238, 3238, 538, 6721, 543, 12419, 513, 1587, 610, 3028, 547, 5561, 269, 1452, 2238, 949, 1331, 27126, 6151, 2326, 267, 5663, 267, 16292, 327, 17639, 267, 6283, 267, 543, 3892, 269, 769, 938, 2013, 1353, 267, 519, 3761, 5832, 3322, 1896, 6105, 910, 4589, 267, 21101, 267, 2733, 12781, 267, 17783, 531, 619, 267, 543, 21625, 269, 3962, 5428, 1590, 960, 1927, 16900, 547, 2327, 12905, 6765, 540, 2835, 547, 3988, 269, 13229, 2792, 543, 5698, 1063, 782, 8639, 616, 1898, 585, 4509, 606, 3608, 543, 1942, 15807, 3761, 5832, 780, 7656, 269, 24637, 5983, 26511, 692, 20779, 663, 20925, 568, 519, 1184, 540, 21501, 2104, 3747, 585, 2472, 1759, 593, 3140, 1239, 267, 2344, 1382, 267, 543, 824, 2188, 269, 6452, 23847, 20925, 2337, 4213, 1544, 741, 2504, 16131, 267, 4383, 11891, 2157, 267, 543, 1118, 5483, 3664, 827, 14499, 543, 6725, 2994, 269, 1280, 3236, 267, 17404, 11905, 9248, 543, 8225, 2733, 12460, 14175, 1723, 770, 7734, 1031, 6455, 1239, 689, 552, 22345, 619, 899, 8835, 28632, 547, 3589, 519, 8560, 540, 834, 763, 21756, 2060, 519, 22900, 570, 16201, 334, 257, 1851, 3345, 1977, 9458, 269, 9122, 593, 713, 1344, 267, 789, 4956, 547, 2333, 1820, 8255, 543, 4228, 3892, 9055, 9935, 269, 1717, 267, 621, 568, 1271, 547, 4063, 602, 1256, 609, 10427, 2645, 543, 2553, 267, 3747, 20925, 3788, 606, 20541, 2257, 12155, 547, 6959, 1813, 547, 5007, 2188, 3564, 513, 2754, 781, 1852, 780, 4353, 269, 8881, 14351, 6726, 566, 692, 32552, 6006, 4016, 547, 3063, 11891, 6854, 593, 1688, 547, 11574, 4220, 2404, 609, 13260, 538, 1291, 2053, 267, 3747, 267, 610, 1312, 269, 11109, 6190, 3106, 6006, 5849, 602, 3549, 666, 3136, 5870, 6075, 7569, 1282, 6397, 3871, 1510, 4881, 856, 540, 6006, 4625, 269, 1677, 5173, 3106, 6006, 4170, 267, 4213, 2015, 2188, 971, 607, 5551, 3028, 1377, 630, 1492, 5506, 540, 9319, 6006, 8083, 1070, 3044, 11539, 540, 1291, 942, 3747, 267, 543, 3328, 3232, 6165, 2557, 269, 1280, 1383, 267, 952, 972, 568, 1164, 10462, 1472, 1433, 9753, 1813, 547, 11385, 908, 7082, 7375, 610, 21463, 538, 519, 3761, 5832, 267, 11905, 9248, 543, 14175, 1723, 770, 7734, 1522, 2226, 2362, 3106, 6006, 2157, 547, 2057, 1761, 6006, 8083, 780, 309, 269, 9483, 11352, 10829, 640, 630, 292, 302, 304, 264, 7844, 692, 30356, 11352, 10829, 640, 630, 292, 302, 304, 264, 568, 513, 6310, 2203, 1031, 547, 3313, 519, 6099, 1931, 7274, 602, 24024, 2698, 11891, 3790, 1107, 19280, 267, 8876, 267, 543, 6006, 719, 3790, 269, 1635, 12719, 519, 661, 302, 304, 267, 4213, 666, 3666, 519, 4123, 4752, 1063, 11093, 7928, 1507, 9753, 543, 1447, 7928, 1804, 3283, 269, 11790, 2808, 950, 8159, 661, 302, 304, 1331, 5993, 3747, 267, 19280, 1942, 829, 11834, 267, 543, 8876, 1942, 829, 1770, 829, 1032, 269, 4635, 519, 661, 302, 304, 2203, 267, 11905, 9248, 543, 14175, 1723, 770, 7734, 1223, 11126, 741, 8228, 543, 3892, 16131, 267, 4180, 8766, 3653, 543, 5021, 7443, 19114, 780, 9654, 269, 23120, 1234, 680, 523, 7321, 15613, 692, 16676, 6681, 25579, 7321, 4640, 630, 10135, 306, 264, 568, 606, 11891, 2359, 1935, 1141, 14273, 8850, 6928, 5370, 547, 21625, 1759, 593, 4890, 1448, 6361, 1606, 1446, 1239, 2864, 982, 24441, 6718, 9753, 269, 10911, 306, 2636, 4213, 547, 2569, 11891, 2157, 267, 2087, 1931, 6111, 267, 543, 4431, 3533, 547, 2242, 538, 7082, 3747, 269, 23255, 899, 11905, 9248, 666, 946, 10911, 306, 547, 12840, 5702, 609, 2733, 12781, 899, 14175, 1723, 770, 7734, 267, 4687, 1483, 6066, 6455, 1239, 543, 14577, 2504, 16131, 9935, 780, 23997, 269, 10390, 692, 19931, 11891, 1852, 543, 2359, 1404, 513, 4105, 1909, 538, 1022, 1870, 5106, 267, 3226, 1369, 6080, 882, 5050, 593, 4028, 24826, 3928, 543, 12119, 15088, 269, 22034, 2035, 971, 607, 3761, 5832, 2359, 267, 3747, 20925, 267, 3106, 6006, 9819, 267, 661, 302, 304, 3631, 267, 543, 6024, 25579, 7321, 2994, 6087, 3906, 547, 11694, 12434, 1247, 10893, 3653, 995, 7836, 269, 3414, 3695, 519, 18454, 543, 2591, 5185, 676, 1346, 3238, 538, 13629, 543, 26084, 834, 763, 21756, 2060, 519, 22900, 570, 16201, 334, 2437, 1053, 1451, 4052, 3156, 540, 7811, 3741, 538, 513, 6422, 4259, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 7824, 634, 21756, 5808, 666, 581, 1865, 1004, 540, 6370, 3033, 2677, 18587, 267, 610, 1719, 21625, 602, 1397, 5051, 4609, 689, 519, 7293, 1143, 267, 543, 1631, 948, 873, 883, 4162, 936, 862, 17458, 269, 634, 7824, 634, 21756, 5808, 538, 713, 6216, 8604, 6537, 538, 519, 808, 7968, 540, 4989, 547, 5412, 476, 1001, 272, 267, 799, 1476, 331, 919, 519, 1614, 2823, 1023, 540, 1250, 2046, 5092, 609, 519, 6175, 543, 21282, 7828, 693, 14175, 1723, 770, 7734, 269, 898, 941, 1044, 689, 552, 22345, 619, 3323, 609, 519, 7824, 634, 21756, 5808, 1975, 5803, 609, 693, 11905, 9248, 543, 14175, 1723, 770, 7734, 267, 8772, 4250, 1053, 267, 1383, 1065, 29251, 4603, 539, 676, 519, 1876, 267, 4199, 540, 536, 333, 322, 19833, 10574, 267, 661, 1885, 543, 2055, 689, 519, 17363, 2605, 6471, 2160, 7732, 543, 1592, 267, 3516, 865, 607, 18787, 267, 2924, 267, 543, 3898, 543, 10220, 3877, 729, 6237, 269, 1390, 7824, 634, 21756, 5808, 1975, 5803, 609, 24436, 281, 29519, 543, 7206, 2278, 8118, 538, 29430, 267, 3703, 12052, 269, 22621, 538, 476, 3192, 280, 267, 14175, 1723, 770, 7734, 568, 15295, 25249, 267, 7824, 634, 21756, 5808, 1975, 5803, 609, 24436, 281, 20150, 267, 543, 2298, 1654, 547, 513, 476, 4029, 560, 12557, 540, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 15051, 3194, 1315, 22802, 6513, 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, 15232, 519, 674, 4288, 540, 3979, 543, 19384, 28690, 538, 30571, 632, 15840, 17144, 692, 3721, 476, 272, 281, 3194, 30571, 632, 15840, 17144, 781, 26943, 2435, 3778, 454, 6524, 25054, 593, 707, 11477, 3460, 998, 30571, 632, 15840, 17144, 267, 1491, 930, 942, 547, 1174, 519, 2189, 11100, 540, 4529, 602, 8032, 922, 1426, 6429, 269, 14082, 17091, 267, 3979, 17760, 29713, 267, 543, 5065, 7087, 2950, 782, 8329, 547, 2870, 519, 10058, 25812, 5174, 571, 7588, 1014, 12760, 1336, 538, 519, 3148, 781, 11951, 2221, 269, 901, 4282, 1702, 786, 3986, 707, 7071, 540, 519, 8286, 596, 7237, 1282, 707, 7552, 780, 3721, 476, 273, 281, 16731, 10871, 29714, 454, 2414, 5963, 23365, 3054, 538, 519, 2199, 11477, 5389, 267, 3643, 6990, 899, 30330, 5964, 7844, 334, 610, 590, 14244, 808, 10394, 638, 574, 10369, 269, 1452, 14297, 32387, 13686, 4195, 3132, 267, 14546, 267, 16872, 267, 543, 16469, 1031, 3232, 676, 7264, 269, 3955, 716, 609, 21527, 945, 666, 2671, 741, 4030, 593, 6237, 32258, 543, 7041, 2553, 269, 12726, 16678, 5613, 971, 607, 808, 629, 583, 545, 19487, 267, 772, 3495, 267, 610, 3400, 24825, 320, 1107, 28125, 538, 29036, 8478, 855, 10355, 2938, 11992, 780, 3721, 476, 274, 281, 8347, 12465, 9335, 16639, 454, 1805, 22901, 1426, 568, 7533, 547, 30571, 632, 15840, 17144, 781, 1426, 2528, 269, 7720, 638, 29132, 630, 320, 3165, 12403, 11273, 538, 27765, 324, 3282, 1070, 3600, 541, 1690, 2946, 630, 1372, 788, 1922, 3072, 11084, 1500, 689, 3109, 31991, 17112, 6039, 609, 20544, 543, 3905, 14036, 1070, 543, 2806, 541, 5451, 630, 13678, 1791, 547, 1035, 541, 1690, 2946, 855, 2848, 3139, 3079, 540, 22304, 264, 616, 2442, 5079, 1851, 17137, 543, 14666, 7567, 269, 18918, 609, 8265, 21527, 543, 1451, 827, 891, 8286, 262, 3140, 4644, 1247, 11981, 873, 780, 3721, 476, 275, 281, 10812, 31777, 1218, 7981, 1944, 538, 25812, 5174, 571, 7588, 1014, 28690, 454, 4407, 3695, 519, 2749, 267, 3343, 856, 552, 831, 625, 6131, 547, 8497, 543, 5009, 25812, 5174, 571, 7588, 1014, 10346, 269, 2368, 8037, 3681, 1331, 595, 14505, 1019, 962, 17507, 329, 5451, 267, 12756, 631, 1092, 631, 537, 549, 267, 543, 31777, 14397, 2549, 5964, 269, 3962, 10661, 949, 2322, 922, 8095, 593, 5929, 8286, 282, 2705, 267, 789, 2611, 8149, 547, 26621, 2245, 269, 5269, 31681, 952, 2009, 267, 2523, 693, 8445, 2053, 267, 547, 2327, 27939, 8244, 780, 3721, 476, 276, 281, 12160, 622, 538, 18181, 26643, 454, 2690, 513, 3946, 6823, 1995, 267, 6443, 5986, 5049, 3366, 676, 22730, 1134, 268, 951, 539, 538, 25812, 5174, 571, 7588, 1014, 8819, 25348, 269, 14992, 899, 570, 4292, 540, 30571, 2709, 6030, 1141, 5171, 1451, 875, 547, 5965, 15040, 8286, 1210, 8076, 5820, 896, 4274, 5583, 269, 3502, 1152, 798, 891, 7886, 1683, 3407, 1983, 267, 855, 789, 849, 6536, 2686, 5385, 1063, 16929, 543, 28752, 780, 3721, 476, 277, 281, 29934, 26943, 2435, 15638, 543, 14080, 11040, 454, 11742, 707, 3643, 547, 14626, 728, 609, 5993, 2621, 14120, 30571, 632, 15840, 17144, 781, 11477, 6561, 269, 1280, 3236, 267, 16635, 13005, 22050, 1258, 558, 807, 13391, 10005, 4386, 1169, 5239, 267, 10023, 1585, 11925, 267, 13820, 902, 267, 543, 23405, 10223, 2757, 24214, 269, 6270, 14026, 1450, 17631, 547, 4497, 811, 7184, 609, 2199, 1426, 9821, 543, 2170, 609, 8284, 12439, 780, 3721, 476, 278, 281, 11657, 2659, 23800, 454, 2026, 596, 6330, 30571, 632, 15840, 17144, 781, 7524, 1426, 6429, 267, 3561, 707, 8906, 998, 11147, 267, 4967, 267, 610, 5639, 19827, 269, 19457, 891, 8823, 609, 1920, 543, 2828, 1394, 1753, 666, 8300, 873, 547, 2263, 2147, 9035, 269, 5047, 267, 10452, 593, 707, 11477, 13341, 1522, 7866, 5892, 29462, 4296, 1063, 9583, 19635, 4529, 543, 32345, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8702, 547, 8478, 267, 513, 2197, 12021, 585, 922, 7524, 2528, 267, 10875, 8916, 267, 543, 9159, 11951, 269, 1879, 621, 2501, 547, 1426, 267, 8478, 3091, 513, 3638, 543, 3309, 11477, 6561, 602, 9356, 519, 2197, 779, 1686, 543, 3309, 7506, 269, 3245, 519, 29316, 905, 6359, 1933, 320, 547, 519, 22023, 626, 1043, 533, 14244, 632, 6446, 6359, 334, 267, 19384, 11951, 568, 513, 10508, 585, 519, 12823, 563, 1103, 713, 2376, 267, 649, 786, 5490, 883, 519, 11477, 1642, 2074, 540, 8478, 779, 30811, 2749, 267, 30571, 632, 15840, 17144, 269, 28210, 538, 27040, 8478, 267, 30571, 632, 15840, 17144, 568, 513, 13621, 1494, 540, 25812, 5174, 571, 7588, 1014, 2528, 267, 1148, 267, 543, 1034, 11932, 267, 1426, 269, 634, 2749, 779, 11477, 6429, 568, 606, 3235, 937, 545, 3575 ]

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

[ 610, 9164, 827, 2081, 789, 1589, 596, 1223, 948, 1118, 513, 3017, 269, 1411, 1522, 1451, 1945, 1007, 689, 741, 2833, 2336, 265, 2878, 25332, 2925, 707, 10450, 4995, 6875, 4063, 540, 2199, 2152, 7133, 707, 2146, 267, 971, 607, 1396, 339, 1229, 10754, 267, 26130, 8933, 267, 610, 1648, 2914, 8463, 2853, 269, 6056, 827, 875, 596, 666, 2232, 891, 2042, 780, 1262, 3721, 476, 274, 281, 26805, 17904, 4373, 265, 2878, 308, 2955, 1018, 3653, 568, 4995, 17904, 4016, 547, 13311, 2326, 23987, 676, 3425, 267, 799, 1419, 1439, 909, 31362, 519, 1604, 563, 265, 2878, 26368, 2010, 540, 3653, 4995, 25800, 3054, 609, 1455, 3029, 540, 3653, 912, 453, 266, 21311, 14569, 267, 11435, 267, 2269, 9749, 454, 453, 266, 5253, 11183, 454, 453, 266, 7433, 2472, 630, 2908, 4944, 1653, 267, 21312, 994, 453, 266, 19371, 11149, 454, 453, 266, 18329, 3457, 454, 265, 2878, 25363, 618, 2242, 1262, 912, 453, 266, 2422, 23431, 10918, 11435, 3079, 540, 2582, 14025, 5068, 11435, 563, 453, 266, 7994, 2472, 609, 8766, 610, 27500, 11183, 563, 453, 266, 1234, 12860, 1957, 267, 4837, 267, 543, 5068, 3688, 7157, 563, 453, 266, 3680, 9140, 11991, 3688, 547, 2569, 2949, 4616, 780, 1262, 16498, 29568, 12833, 9407, 16001, 265, 670, 13783, 513, 23431, 9126, 1247, 10918, 454, 265, 1773, 5217, 6691, 762, 2326, 538, 11280, 25510, 454, 265, 2961, 11538, 513, 1201, 650, 762, 1216, 11480, 692, 1262, 14549, 29568, 12833, 9407, 16001, 265, 1306, 6362, 4558, 5520, 827, 10357, 7888, 1587, 3681, 454, 265, 9181, 532, 9657, 4808, 609, 7622, 2818, 610, 12543, 692, 1262, 3721, 476, 275, 281, 3117, 6326, 6052, 543, 4826, 4373, 265, 2878, 8139, 1648, 543, 1216, 6165, 4995, 6258, 827, 519, 2956, 540, 25137, 2067, 2200, 267, 1519, 5201, 267, 3154, 267, 543, 1216, 563, 265, 2878, 26594, 3527, 547, 18359, 1648, 1262, 912, 453, 266, 12414, 1055, 8279, 267, 11418, 267, 543, 14233, 950, 711, 538, 946, 563, 453, 266, 29799, 2757, 1769, 15620, 609, 10896, 8925, 563, 453, 266, 17797, 27687, 520, 5468, 547, 11126, 8022, 543, 9023, 563, 265, 2878, 12850, 22766, 4388, 1262, 912, 453, 266, 674, 1460, 13451, 344, 31316, 1115, 16425, 563, 453, 266, 6875, 10156, 29636, 630, 283, 276, 3764, 1916, 453, 266, 12305, 1970, 32704, 17643, 21650, 543, 30079, 780, 1262, 16498, 29568, 12833, 9407, 16001, 265, 4469, 6235, 17176, 547, 2490, 1055, 8279, 454, 265, 24296, 920, 9405, 2025, 1769, 15620, 543, 13868, 873, 609, 27178, 454, 265, 5695, 940, 31316, 564, 20362, 547, 4188, 1216, 2095, 692, 1262, 14549, 29568, 12833, 9407, 16001, 265, 769, 14127, 1866, 827, 519, 2640, 540, 1648, 18026, 2853, 454, 265, 18964, 7622, 2818, 547, 9772, 1216, 15926, 6326, 6208, 692, 1262, 3721, 476, 276, 281, 31896, 19029, 543, 25417, 681, 4078, 23667, 27557, 4373, 265, 2878, 763, 4644, 540, 4054, 4995, 19029, 10110, 3327, 8166, 267, 3132, 5135, 267, 543, 1489, 9265, 563, 265, 2878, 5522, 13589, 4054, 12725, 1262, 912, 453, 266, 3194, 7404, 11614, 267, 10651, 267, 610, 3039, 5624, 1141, 3529, 9544, 7341, 616, 25093, 563, 453, 266, 12160, 622, 538, 6896, 2621, 610, 15321, 3255, 563, 453, 266, 6333, 12561, 513, 3529, 268, 8690, 532, 1982, 693, 1153, 610, 960, 563, 265, 2878, 11045, 15659, 2518, 556, 16396, 3646, 1262, 912, 453, 266, 5213, 622, 547, 3906, 6131, 547, 556, 16396, 3785, 563, 453, 266, 24619, 4656, 827, 519, 2956, 540, 8497, 7733, 780, 1262, 16498, 29568, 12833, 9407, 16001, 265, 6226, 3101, 9475, 585, 1094, 31958, 454, 265, 30047, 19155, 1282, 9544, 2238, 454, 265, 4635, 12202, 2645, 547, 2226, 9241, 12630, 2127, 692, 1262, 14549, 29568, 12833, 9407, 16001, 265, 11622, 908, 609, 8284, 13538, 1282, 3529, 268, 8690, 532, 2621, 454, 265, 19457, 3872, 1543, 827, 17717, 543, 922, 4539, 692, 1262, 3721, 476, 277, 281, 3447, 908, 23126, 543, 11524, 4373, 265, 2878, 16676, 5224, 2069, 4995, 17115, 1224, 2835, 267, 4930, 267, 543, 2228, 2200, 5059, 593, 2825, 3584, 563, 265, 2878, 4537, 2130, 1702, 609, 1866, 1262, 912, 453, 266, 18918, 538, 16614, 7391, 609, 1346, 23387, 540, 8733, 4145, 563, 453, 266, 5029, 1125, 11925, 267, 14245, 267, 610, 1514, 2923, 11044, 547, 6318, 4656, 563, 453, 266, 23512, 790, 9905, 547, 6443, 13476, 6857, 2516, 610, 15731, 780, 1262, 16498, 29568, 12833, 9407, 16001, 265, 670, 13783, 1433, 6227, 610, 552, 22345, 619, 1247, 1565, 454, 265, 30557, 538, 4395, 540, 9458, 1282, 14245, 454, 265, 11978, 532, 6835, 610, 2870, 3308, 11226, 1210, 3059, 5867, 692, 1262, 14549, 29568, 12833, 9407, 16001, 265, 23016, 8362, 547, 4966, 262, 8369, 543, 5796, 454, 265, 13891, 908, 31635, 609, 17837, 540, 2825, 3123, 454, 265, 8490, 3347, 1369, 2825, 14223, 5121, 692, 1262, 6962, 4373, 23558, 593, 11264, 713, 3102, 3391, 256, 1635, 1739, 891, 3268, 267, 596, 4312, 3144, 2629, 1101, 26058, 2509, 4742, 606, 3742, 23784, 547, 19236, 5726, 269, 5457, 1384, 265, 5272, 1367, 4674, 8591, 909, 547, 1711, 513, 3677, 267, 811, 8101, 1764, 563, 265, 2142, 3461, 543, 10770, 282, 9434, 1689, 3340, 942, 267, 11428, 267, 543, 16177, 563, 265, 13773, 8049, 267, 3136, 1565, 267, 543, 3082, 547, 6932, 2591, 6849, 938, 4541, 780, 3086, 267, 979, 8521, 543, 8300, 1866, 547, 6443, 519, 3350, 2439, 14945, 1607, 5850, 6663, 547, 1683, 606, 29882, 267, 19444, 7888, 4199, 585, 4896, 3168, 547, 1376, 1818, 513, 2318, 1764, 593, 519, 1604, 269, 1635, 8840, 1524, 1950, 2035, 883, 29829, 3268, 267, 3988, 786, 1745, 23518, 547, 2253, 741, 6940, 15322, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 20055, 4934, 547, 16440, 3776, 14136, 257, 538, 519, 2511, 540, 14392, 585, 2576, 945, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2168, 543, 1480, 4205, 3238, 267, 1256, 519, 1034, 2596, 543, 6654, 3283, 267, 14322, 519, 5467, 2115, 713, 1344, 1100, 2339, 875, 2596, 621, 666, 3100, 269, 0, 8080, 547, 938, 4241, 3460, 883, 519, 1158, 540, 5122, 4702, 256, 5620, 596, 2479, 9289, 875, 5201, 1568, 286, 2107, 6148, 596, 4312, 2219, 827, 1018, 621, 3217, 547, 1628, 782, 1346, 3579, 5907, 3457, 602, 649, 946, 1169, 1554, 286, 4270, 267, 952, 865, 267, 1287, 713, 568, 519, 3501, 1747, 547, 1376, 1565, 2439, 4131, 781, 4952, 585, 513, 4090, 602, 596, 616, 593, 513, 5692, 547, 1831, 606, 834, 21328, 25817, 1701, 2659, 2816, 568, 547, 3605, 1007, 2081, 547, 1683, 1648, 547, 1004, 1247, 849, 7863, 938, 4190, 4541, 3047, 269, 1215, 1131, 596, 798, 713, 286, 2290, 1259, 1522, 581, 676, 4974, 5122, 4702, 256, 901, 2361, 9388, 609, 10451, 267, 23142, 267, 543, 1210, 5201, 9108, 543, 7561, 269, 898, 4249, 513, 1713, 1909, 538, 1082, 2127, 899, 1216, 2504, 267, 3282, 10868, 267, 1379, 2371, 267, 3859, 1648, 267, 543, 1454, 811, 780, 3086, 1577, 803, 2995, 596, 513, 5728, 910, 3388, 1472, 721, 12346, 593, 11387, 269, 27989, 616, 11444, 1141, 3167, 1699, 8928, 1063, 1079, 2798, 269, 5994, 873, 607, 6263, 9897, 14612, 676, 20538, 6517, 1572, 9211, 630, 6518, 616, 851, 540, 8444, 1040, 1677, 1711, 513, 5547, 267, 596, 991, 1614, 2596, 3334, 281, 513, 6453, 2707, 630, 320, 6007, 1070, 26423, 630, 342, 2231, 1070, 543, 513, 4452, 630, 3697, 513, 1769, 15941, 1040, 1879, 4448, 7157, 267, 891, 2694, 1450, 519, 9211, 547, 2095, 998, 519, 12904, 543, 3132, 1769, 267, 3002, 267, 610, 1022, 824, 1106, 540, 1648, 2439, 3719, 1946, 1281, 713, 1256, 2339, 286, 2913, 781, 1491, 513, 1413, 693, 1483, 8996, 2042, 602, 8030, 3068, 3232, 269, 1280, 3236, 267, 1705, 596, 917, 602, 930, 4025, 723, 3908, 1569, 547, 2973, 6704, 1216, 286, 15379, 8030, 666, 948, 4194, 713, 3390, 676, 8888, 1949, 602, 2721, 1216, 689, 11895, 2959, 1210, 3532, 15450, 269, 1452, 6191, 2154, 6266, 540, 5201, 267, 799, 1797, 4466, 3608, 2081, 547, 5352, 543, 10141, 1379, 3587, 2629, 269, 2334, 781, 1141, 7791, 1648, 2501, 538, 13561, 256, 1635, 19713, 7943, 610, 2842, 267, 649, 666, 1711, 22928, 3435, 602, 4324, 1312, 3425, 543, 2470, 780, 5194, 1383, 3322, 3695, 4244, 2409, 585, 6721, 5201, 269, 12465, 1379, 2371, 1419, 6633, 8093, 10173, 899, 5755, 610, 2067, 3154, 267, 16089, 5739, 9362, 883, 519, 5790, 269, 1306, 834, 21328, 10812, 3464, 2437, 649, 1616, 547, 1265, 1732, 8925, 269, 9891, 8440, 6460, 7943, 2047, 883, 5201, 267, 1818, 873, 606, 5140, 4781, 585, 4525, 609, 10731, 24106, 269, 1717, 267, 789, 1869, 991, 6454, 3823, 4398, 543, 4859, 7207, 269, 1924, 972, 781, 7899, 540, 4055, 585, 5647, 2439, 3383, 1631, 602, 596, 1174, 519, 9238, 540, 5122, 4702, 543, 922, 2956, 1577, 781, 4685, 4514, 883, 1808, 3584, 971, 607, 27856, 267, 29522, 267, 543, 20367, 1699, 269, 5213, 1405, 5855, 282, 594, 9153, 547, 2491, 1142, 1523, 5693, 543, 13801, 569, 267, 9319, 11991, 3822, 269, 8625, 267, 649, 786, 12260, 519, 13655, 3297, 519, 2029, 5935, 938, 2729, 543, 1020, 5499, 3435, 585, 513, 4264, 2104, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8294, 12022, 20254, 28257, 14507, 18716, 28519, 12168, 357, 28405, 25078, 14534, 24291, 20901, 14180, 21333, 25078, 29756, 24291, 405, 481, 20901, 14507, 24220, 8294, 404, 355, 18716, 29756, 454, 8294, 12022, 20901, 14180, 21333, 25078, 29756, 24291, 405, 481, 20901, 14507, 24220, 8294, 404, 355, 18716, 29756, 27755, 20254, 404, 374, 18716, 14507, 29756, 476, 15906, 14534, 20254, 404, 371, 15906, 14507, 29756, 12168, 357, 404, 368, 405, 481, 12022, 12168, 367, 14507, 18716, 28257, 476, 15906, 12168, 359, 404, 362, 21333, 14534, 12168, 511, 28405, 15906, 12022, 12168, 368, 20254, 405, 487, 476, 28519, 8294, 12022, 20254, 15906, 25078, 28257, 476, 28519, 18716, 12168, 363, 15906, 14507, 24291, 20901, 14180, 21333, 25078, 29756, 24291, 405, 481, 20901, 14507, 24220, 8294, 404, 355, 18716, 29756, 12168, 352, 404, 369, 24220, 404, 511, 476, 18716, 28257, 405, 481, 25078, 476, 28519, 8294, 28257, 12022, 18716, 29756, 476, 15906, 12168, 359, 404, 371, 15906, 14507, 12168, 511, 28405, 15906, 12022, 24291, 28257, 14534, 12022, 476, 28519, 18716, 27755, 404, 362, 20254, 12022, 28519, 24291, 20254, 404, 362, 404, 369, 404, 369, 8294, 20254, 476, 15906, 476, 12022, 12022, 15906, 404, 369, 15906, 12022, 12168, 354, 12022, 405, 487, 24291, 20254, 14534, 18716, 404, 366, 476, 28519, 28405, 21333, 12168, 352, 28257, 21333, 24291, 24220, 14507, 14180, 8294, 14534, 404, 361, 24291, 21333, 14507, 8294, 25078, 18716, 476, 12022, 18716, 405, 481, 15906, 14180, 12168, 368, 8294, 14534, 12022, 8294, 405, 489, 476, 15906, 28405, 14507, 18716, 24220, 8294, 405, 489, 27755, 14180, 27755, 20254, 404, 371, 12022, 24220, 8294, 20254, 476, 15906, 8294, 404, 511, 20254, 18716, 8294, 404, 361, 8294, 20254, 24291, 14534, 404, 361, 20254, 14534, 28257, 27755, 14180, 24291, 404, 371, 8294, 28405, 29756, 24291, 405, 481, 20901, 14507, 24220, 8294, 404, 355, 18716, 29756, 476, 15906, 12022, 18716, 405, 481, 15906, 14180, 476, 12022, 12022, 404, 371, 8294, 12022, 24220, 12168, 357, 28257, 21333, 8294, 405, 489, 12168, 352, 404, 362, 14507, 476, 28519, 18716, 476, 14180, 404, 370, 14507, 20254, 20901, 476, 12022, 12022, 404, 371, 8294, 28405, 29756, 24291, 24220, 21333, 18716, 12022, 29756, 476, 15906, 12168, 352, 20901, 14534, 18716, 20254, 20901, 8294, 476, 28519, 18716, 24291, 8294, 25078, 20254, 14534, 14507, 8294, 14507, 18716, 29756, 476, 15906, 24291, 14534, 404, 511, 8294, 28519, 404, 372, 29756, 12168, 373, 12022, 405, 487, 24291, 24220, 18716, 404, 355, 29756, 24291, 20254, 18716, 12168, 359, 15906, 8294, 404, 361, 20901, 20901, 8294, 12168, 359, 404, 511, 21333, 18716, 8294, 20254, 12168, 361, 14534, 29756, 12168, 357, 14534, 14180, 404, 371, 28405, 29756, 24291, 15906, 8294, 404, 511, 8294, 20254, 476, 14180, 20254, 18716, 404, 361, 29756, 12168, 359, 12022, 15906, 404, 360, 24291, 14534, 18716, 8294, 20901, 24291, 404, 361, 15906, 28519, 18716, 29756, 476, 15906, 24291, 20901, 15906, 8294, 404, 350, 24291, 14534, 404, 369, 8294, 404, 511, 24220, 18716, 14180, 476, 12022, 404, 354, 14180, 20254, 8294, 404, 361, 24291, 14180, 28519, 404, 371, 476, 15906, 8294, 12022, 404, 374, 8294, 404, 366, 476, 15906, 28519, 28405, 14507, 24291, 24220, 14180, 18716, 29756, 24291, 20254, 404, 511, 20254, 18716, 29756, 563, 12022, 12022, 404, 511, 404, 369, 15906, 12022, 12168, 373, 12022, 405, 487, 27755, 14507 ]

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

[ 563, 8256, 3569, 543, 18401, 454, 3725, 11734, 666, 581, 6913, 676, 7863, 519, 2298, 540, 922, 7226, 543, 676, 19620, 7123, 543, 14323, 5095, 547, 519, 23572, 689, 799, 621, 814, 1044, 970, 597, 335, 730, 269, 634, 772, 2529, 269, 12551, 543, 13812, 6796, 267, 519, 13325, 4325, 548, 1670, 5980, 267, 543, 519, 13325, 4972, 540, 7849, 8249, 267, 616, 14236, 519, 4644, 540, 13946, 1471, 2787, 607, 513, 3463, 547, 519, 2249, 563, 763, 13325, 13946, 16822, 760, 617, 568, 7396, 607, 606, 13155, 2249, 896, 519, 13325, 29510, 15661, 10466, 2920, 269, 1306, 971, 267, 621, 568, 6870, 689, 1463, 2921, 630, 328, 4318, 1421, 5945, 610, 9019, 264, 7488, 540, 2436, 621, 4386, 593, 1857, 610, 4357, 2244, 269, 1717, 267, 1533, 1876, 1281, 711, 2149, 2249, 689, 9940, 2800, 267, 971, 607, 7226, 27327, 269, 1306, 1279, 607, 519, 3527, 540, 4357, 2244, 14935, 616, 6382, 538, 10220, 609, 519, 1876, 267, 3527, 602, 6861, 610, 31358, 7226, 585, 713, 2249, 616, 4847, 896, 13325, 1876, 563, 308, 269, 590, 269, 12551, 543, 13812, 6796, 269, 476, 274, 5181, 476, 1960, 279, 269, 834, 17484, 11139, 543, 21784, 2989, 13812, 543, 12518, 282, 15937, 14329, 1677, 5903, 519, 13325, 29190, 2549, 874, 760, 617, 607, 29510, 1701, 8549, 19193, 476, 8287, 630, 14378, 2567, 476, 5379, 280, 876, 268, 5379, 280, 1015, 269, 0, 10376, 3018, 649, 3580, 1491, 513, 1900, 1394, 883, 519, 1686, 540, 4279, 645, 754, 998, 519, 4064, 540, 1065, 13024, 2250, 269, 1284, 3580, 556, 659, 638, 5593, 596, 609, 1018, 4682, 883, 2870, 519, 4279, 645, 754, 540, 2221, 267, 543, 798, 938, 1655, 547, 9337, 596, 593, 1018, 968, 1492, 1964, 540, 519, 1650, 892, 5828, 856, 547, 581, 563, 3080, 3620, 4348, 6253, 8812, 1296, 3516, 2221, 267, 4892, 941, 5189, 547, 519, 3703, 19792, 15593, 6674, 29385, 609, 519, 8313, 540, 519, 1101, 2475, 7160, 540, 15593, 6674, 29385, 1101, 3209, 3259, 1650, 267, 968, 288, 5530, 538, 25753, 2280, 281, 676, 1488, 327, 584, 1230, 534, 667, 1195, 548, 269, 898, 729, 3370, 538, 4789, 1614, 1296, 1991, 267, 1310, 1101, 17729, 538, 606, 21372, 12139, 1572, 2142, 17662, 779, 8285, 1325, 2006, 659, 896, 519, 2140, 968, 288, 19358, 1194, 28024, 514, 1848, 769, 476, 6642, 279, 267, 621, 729, 3370, 538, 1433, 1106, 267, 609, 12383, 6537, 676, 519, 2278, 779, 4651, 269, 4340, 547, 519, 9504, 2985, 585, 519, 1650, 267, 968, 320, 2034, 7160, 7902, 519, 1739, 1032, 543, 729, 11609, 676, 6723, 670, 8553, 8657, 282, 513, 1032, 2663, 538, 476, 6245, 271, 267, 808, 269, 645, 269, 700, 2089, 4532, 2714, 1299, 3213, 269, 5950, 519, 1101, 1977, 4528, 269, 26597, 2417, 21820, 267, 16627, 543, 5559, 15384, 725, 723, 7902, 2094, 3034, 288, 5530, 538, 25753, 2280, 568, 519, 1101, 942, 513, 19792, 568, 4330, 607, 1210, 513, 3172, 4328, 4837, 538, 513, 3209, 563, 1103, 519, 476, 6245, 271, 779, 17476, 543, 14786, 5781, 12286, 2110, 2984, 267, 17626, 9089, 267, 6965, 267, 543, 12383, 941, 1688, 6537, 267, 607, 23252, 1185, 2943, 547, 3501, 10014, 540, 6337, 269, 4139, 543, 3084, 3377, 729, 3177, 2059, 609, 1533, 543, 2199, 3377, 269, 7981, 1436, 540, 1543, 7012, 1406, 513, 3364, 1394, 1287, 269, 1656, 3377, 14612, 7444, 267, 865, 950, 3168, 693, 3140, 30300, 1513, 540, 2221, 267, 972, 568, 2370, 602, 5330, 539, 538, 1483, 942, 1394, 1287, 269, 1879, 649, 6743, 1394, 693, 519, 19258, 517, 6019, 19391, 520, 689, 4924, 269, 476, 2767, 267, 476, 6245, 271, 543, 4728, 476, 277, 267, 476, 6245, 271, 267, 649, 14201, 1406, 14281, 547, 1265, 1100, 2446, 540, 513, 15593, 6674, 29385, 1433, 269, 6145, 569, 267, 621, 1131, 581, 4374, 267, 3275, 267, 7654, 1256, 513, 1032, 610, 811, 1354, 972, 1131, 581, 1022, 12591, 827, 610, 676, 1230, 534, 667, 1195, 548, 269, 16828, 267, 15593, 6674, 29385, 2110, 2984, 543, 1583, 10118, 941, 6035, 267, 543, 1256, 513, 5618, 13371, 14816, 610, 1079, 538, 2663, 1296, 563, 9213, 267, 649, 1521, 938, 3988, 547, 513, 1494, 2000, 3089, 540, 476, 6245, 271, 338, 5359, 543, 23278, 4925, 689, 519, 19258, 517, 6019, 19391, 520, 269, 898, 729, 513, 12353, 1957, 856, 540, 4279, 645, 754, 267, 543, 2841, 539, 2047, 609, 519, 4279, 645, 754, 19193, 267, 513, 17044, 1957, 267, 799, 729, 849, 513, 12353, 269, 1452, 5359, 2709, 10881, 547, 1018, 729, 593, 519, 8186, 540, 19258, 517, 6019, 3988, 950, 519, 10315, 729, 1869, 1007, 563, 1103, 476, 6642, 271, 267, 918, 553, 19063, 5293, 513, 13338, 17203, 10238, 1746, 519, 5478, 543, 9042, 540, 883, 13877, 908, 4508, 832, 538, 519, 1533, 267, 799, 3576, 1198, 538, 5130, 476, 6642, 272, 269, 1809, 267, 11268, 729, 561, 1314, 267, 543, 1082, 17521, 5828, 513, 9420, 3750, 269, 19372, 906, 941, 1572, 968, 329, 2002, 338, 892, 543, 789, 786, 5944, 6976, 519, 1269, 1911, 10865, 5386, 538, 1931, 547, 3251, 1930, 269, 1635, 476, 6245, 271, 267, 2687, 547, 519, 17857, 3557, 8466, 5980, 267, 519, 2191, 766, 3350, 535, 5306, 1229, 267, 1498, 621, 2760, 4503, 1489, 269, 634, 19391, 520, 729, 4904, 609, 8100, 543, 5359, 912, 2108, 15124, 645, 754, 4574, 1867, 6705, 521, 12976, 28113, 269, 1306, 782, 540, 519, 10549, 972, 616, 1869, 4881, 267, 621, 568, 21483, 621, 949, 581, 3552, 28113, 1848, 2443, 654, 747, 7534, 5240, 5174, 324, 13154, 454, 10527, 2243, 1631, 14340, 968, 1432, 786, 519, 7556, 581, 18313, 10527, 4279, 645, 754, 12504, 945, 3893, 513, 28185, 540, 22090, 5652, 267, 3576, 621, 1753, 543, 2322, 621, 1524, 1591, 541, 267, 543, 1287, 1336, 267, 519, 1985, 942, 646, 4682, 1524, 547, 1294, 602, 519, 12277, 1185, 711, 13792, 267, 602, 1010, 7385, 1185, 5828, 519, 795, 1872, 26700, 1524, 543, 29709, 547, 2322, 519, 524, 1251, 538, 267, 568, 1631, 538, 3870, 540, 759, 889, 3939, 269, 2368, 2021, 616, 7357, 1932, 2219, 1652, 3034, 2108, 4263, 513, 29611, 5870, 4371, 538, 570, 2100, 6390, 593, 4924, 269, 476, 2918, 267, 12968, 269, 15656, 16299, 773, 267, 540, 12309, 267, 16094, 6450, 4157, 539, 519, 10315, 27192, 540, 737, 12436, 945, 267, 1247, 5910, 2056, 547, 17997, 519, 10238, 7480, 1876, 267, 7608, 554, 2313, 2724, 543, 11542, 538, 609, 519, 4745, 1235, 269, 1261, 11943, 676, 14344, 602, 607, 606, 7493, 20790, 29611, 1185, 1044, 513, 5821, 538, 1169, 1533, 1141, 621, 1185, 1044, 6836, 1317, 8387, 11221, 676, 14081, 534, 16018, 1185, 711, 24451, 621, 3034, 3682, 22128, 729, 1152, 835, 6161, 538, 19258, 517, 6019, 269, 20579, 14554, 941, 2324, 1996, 6705, 538, 476, 6245, 271, 563, 2108, 3891, 2893, 538, 519, 7450, 693, 1100, 10185, 267, 24949, 543, 1350, 636, 543, 8909, 282, 2156, 5317, 936, 519, 3902, 540, 8970, 543, 23115, 875, 1454, 646, 1185, 269, 1261, 1185, 5249, 689, 2038, 5614, 5503, 267, 2038, 543, 3735, 267, 543, 2182, 267, 543, 1631, 646, 729, 10203, 1010, 2063, 7221, 543, 23115, 856, 1010, 8007, 269, 1261, 23125, 621, 3576, 1079, 14143, 547, 4444, 1010, 1614, 8695, 1007, 25192, 267, 543, 4557, 14143, 811, 593, 1283, 540, 602, 547, 3514, 873, 856, 609, 1007, 17015, 269, 1677, 16179, 1010, 7385, 513, 6870, 10571, 621, 3576, 476, 1911, 1668, 515, 3149, 811, 267, 1247, 2947, 14143, 4682, 538, 513, 4396, 26686, 585, 24095, 593, 519, 6989, 269, 3571, 9204, 543, 1010, 17365, 3915, 12842, 1010, 7693, 540, 28113, 267, 1247, 519, 1719, 593, 1010, 3484, 20251, 3576, 782, 1010, 3170, 1084, 539, 15524, 1846, 269, 634, 30133, 593, 1010, 10800, 8774, 267, 543, 519, 29421, 585, 1010, 28561, 267, 1185, 13881, 909, 1010, 14132, 2848, 619, 543, 519, 3666, 540, 1010, 8970, 269, 1924, 646, 2893, 538, 1010, 7450, 693, 1100, 10185, 267, 24949, 543, 1350, 636, 543, 15319, 267, 607, 646, 23125, 909, 1010, 5763, 513, 2370, 1447, 982, 621, 729, 519, 1032, 1354, 269, 968, 3528, 10733, 267, 789, 2161, 594, 6557, 6870, 267, 855, 594, 917, 972, 568, 1945, 4636, 282, 594, 4076, 1044, 13587, 1882, 543, 575, 592, 1194, 543, 26372, 342, 22075, 676, 713, 8825, 5152, 269, 1358, 5143, 540, 15141, 1190, 911, 6002, 543, 4371, 909, 519, 26481, 986, 326, 267, 543, 594, 4553, 2059, 899, 513, 22481, 267, 543, 1631, 594, 6557, 8066, 519, 9126, 269, 1809, 689, 713, 942, 593, 594, 3580, 8495, 543, 1205, 547, 519, 5377, 540, 5013, 267, 543, 594, 3580, 581, 1269, 275, 267, 547, 2253, 609, 267, 602, 519, 13545, 858, 568, 513, 3454, 3034, 28317, 1906, 2395, 2094, 513, 16027, 3357, 547, 4884, 609, 513, 1360, 1507, 19619, 540, 17944, 896, 1010, 6186, 543, 4682, 1753, 609, 1269, 275, 269, 1839, 538, 6666, 538, 1010, 22836, 269, 634, 7887, 2186, 540, 513, 4452, 540, 8970, 693, 476, 1691, 21347, 513, 1668, 3559, 1131, 2179, 547, 1447, 982, 1269, 275, 269, 1839, 269, 2290, 21039, 9269, 786, 6133, 585, 3592, 607, 1454, 607, 1614, 1668, 515, 3149, 540, 8970, 3034, 2108, 4131, 779, 1294, 267, 513, 1668, 3559, 540, 8970, 2306, 2185, 17529, 540, 4508, 528, 267, 519, 10685, 3902, 540, 799, 568, 28465, 9489, 269, 901, 2040, 568, 1016, 323, 22866, 607, 5205, 281, 519, 16027, 945, 12651, 519, 8970, 267, 476, 1839, 21347, 282, 519, 2229, 267, 1269, 274, 269, 2568, 282, 519, 1253, 14525, 267, 1269, 275, 282, 26708, 267, 1269, 272, 282, 519, 2892, 3019, 1183, 4177, 267, 1269, 278, 269, 1428, 282, 519, 7082, 2443, 15315, 1848, 2443, 14642, 720, 6019, 20048, 1834, 563, 7661, 267, 1934, 779, 513, 1867, 593, 513, 1085, 600, 267, 610, 538, 476, 6245, 271, 6741, 752, 267, 513, 10325, 267, 799, 1522, 723, 19430, 15593, 6674, 29385, 5128, 547, 6318, 1010, 3172, 4328, 4837, 563, 28317, 5857, 704, 609, 513, 1007, 10325, 568, 10707, 998, 930, 540, 519, 15231, 2829, 267, 543, 949, 849, 10880, 713, 3296, 269, 3571, 1505, 540, 5665, 568, 607, 5205, 281, 1261, 814, 606, 4824, 726, 578, 2671, 267, 799, 646, 12029, 547, 930, 9565, 16027, 609, 519, 11865, 602, 952, 621, 18327, 25685, 646, 786, 4363, 621, 547, 1010, 12543, 267, 543, 952, 267, 693, 519, 1439, 540, 519, 4005, 267, 646, 1281, 711, 6999, 547, 1832, 621, 646, 568, 547, 2132, 621, 547, 606, 2232, 799, 568, 2016, 1864, 269, 1403, 519, 5667, 639, 1051, 532, 16027, 23216, 547, 798, 713, 519, 5857, 704, 786, 2328, 606, 2376, 540, 6876, 269, 901, 2376, 568, 2854, 609, 513, 15116, 569, 9112, 32446, 4050, 267, 1934, 1373, 1079, 735, 25902, 538, 519, 23649, 799, 3568, 1079, 5686, 540, 13504, 835, 540, 799, 786, 28201, 2476, 538, 513, 2110, 942, 1310, 1373, 2854, 267, 1247, 519, 824, 786, 2611, 269, 2060, 519, 5449, 646, 11339, 519, 2376, 543, 4657, 519, 1649, 3946, 621, 547, 519, 16027, 267, 945, 4191, 1010, 2012, 609, 519, 8545, 2186, 269, 634, 1267, 568, 602, 519, 1913, 540, 519, 2376, 4166, 3068, 543, 519, 5857, 704, 814, 513, 4062, 540, 3043, 1957, 609, 519, 16027, 779, 2012, 519, 1258, 267, 543, 666, 1118, 621, 883, 513, 4063, 540, 1022, 21000, 1588, 693, 1010, 16837, 1848, 2443, 13053, 4750, 0, 1103, 17860, 14328, 4396, 1570, 630, 305, 9391, 264, 4070, 267, 519, 2868, 5979, 30021, 630, 26774, 264, 729, 2919, 547, 3728, 523, 2326, 971, 607, 5374, 594, 15515, 4461, 547, 713, 17860, 855, 2178, 1570, 269, 670, 18099, 30021, 3728, 22211, 616, 1031, 1472, 519, 1158, 538, 519, 4070, 540, 3818, 3613, 800, 5656, 267, 13123, 267, 19814, 936, 10139, 525, 543, 1585, 824, 3156, 1141, 4396, 4496, 17860, 338, 616, 3728, 2989, 1927, 269, 4855, 856, 811, 827, 875, 519, 2868, 5979, 30021, 1568, 2630, 563, 23044, 17656, 568, 519, 1184, 540, 17656, 513, 8559, 998, 17860, 7293, 2326, 267, 971, 607, 14328, 5374, 12992, 267, 1510, 2965, 9427, 1022, 540, 519, 4496, 269, 634, 8559, 568, 8850, 20177, 1472, 922, 6316, 607, 621, 568, 4646, 269, 589, 1907, 1572, 513, 8142, 539, 5066, 1287, 14405, 513, 8142, 593, 519, 18592, 540, 519, 8559, 267, 3850, 621, 547, 3398, 513, 3044, 8142, 539, 30021, 607, 513, 3728, 10273, 563, 763, 670, 18099, 12157, 339, 454, 763, 670, 18099, 5174, 27117, 10198, 814, 476, 274, 2694, 267, 519, 13409, 267, 519, 1560, 543, 454, 10193, 519, 8142, 539 ]

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

[ 7446, 547, 11168, 2696, 781, 23502, 538, 1010, 18591, 269, 1717, 267, 519, 2038, 15352, 781, 2203, 540, 5718, 814, 28815, 267, 543, 1010, 12004, 10455, 3256, 538, 519, 1032, 476, 19442, 9672, 1010, 1383, 540, 2868, 1465, 563, 10303, 1100, 4625, 22973, 12092, 540, 15352, 11910, 626, 639, 594, 6818, 267, 12206, 723, 1044, 7142, 547, 7048, 593, 606, 2272, 676, 1010, 4207, 26194, 8432, 339, 639, 540, 7507, 269, 4014, 26194, 8432, 339, 639, 5128, 729, 5555, 11028, 4290, 539, 547, 519, 5783, 543, 17374, 1242, 607, 513, 12004, 10455, 267, 646, 4938, 958, 10353, 519, 533, 2632, 881, 622, 540, 11910, 626, 639, 543, 1614, 540, 1010, 1967, 832, 267, 547, 519, 1448, 540, 721, 584, 4771, 13099, 531, 840, 5766, 2510, 585, 5128, 630, 553, 519, 1101, 968, 656, 760, 2100, 26158, 11048, 267, 1010, 2272, 540, 11910, 626, 639, 262, 1272, 543, 13099, 2329, 2488, 1271, 3877, 563, 6097, 547, 26194, 8432, 339, 639, 262, 2272, 267, 11910, 626, 639, 1107, 4171, 1032, 540, 4332, 568, 711, 1634, 910, 3459, 1010, 4876, 607, 513, 3810, 13807, 3166, 6469, 22700, 267, 5555, 2921, 5539, 585, 1010, 4487, 781, 12948, 1870, 269, 1879, 519, 4871, 8959, 267, 11910, 626, 639, 4607, 519, 16620, 267, 543, 13986, 547, 25176, 689, 1010, 4487, 269, 9861, 4362, 267, 646, 729, 1629, 6838, 547, 4196, 607, 513, 8261, 28346, 337, 538, 7507, 269, 4935, 267, 896, 538, 9476, 335, 5534, 6381, 267, 11910, 626, 639, 3357, 607, 513, 10553, 547, 519, 2749, 1141, 646, 1131, 2663, 4196, 607, 15352, 563, 12385, 1562, 4682, 689, 3983, 547, 8338, 950, 646, 729, 2366, 547, 960, 538, 519, 15183, 267, 7654, 585, 4929, 513, 1857, 19717, 267, 952, 26194, 8432, 339, 639, 262, 2272, 568, 547, 581, 11967, 269, 1717, 267, 11910, 626, 639, 949, 849, 3274, 723, 1044, 30992, 1813, 547, 513, 20655, 540, 10271, 267, 607, 646, 729, 1851, 519, 1082, 21071, 5555, 15685, 593, 519, 11036, 540, 15352, 853, 269, 8841, 594, 563, 7628, 519, 7766, 12081, 540, 15352, 2098, 788, 1506, 12541, 639, 267, 11910, 626, 639, 2968, 513, 632, 13154, 543, 519, 1416, 339, 6033, 540, 513, 2101, 4936, 4168, 28200, 630, 6518, 1869, 12217, 1010, 2012, 607, 519, 968, 290, 19521, 540, 853, 269, 11910, 626, 639, 25257, 538, 1840, 547, 1443, 2358, 519, 15352, 593, 24396, 27900, 540, 519, 1554, 269, 1261, 729, 513, 2067, 11134, 547, 1246, 2098, 788, 1506, 12541, 639, 267, 950, 519, 8545, 5747, 538, 476, 25546, 269, 0, 289, 5735, 8074, 1504, 281, 476, 5881, 269, 6860, 4053, 4788, 267, 28024, 13762, 267, 543, 6715, 2163, 776, 11917, 16633, 281, 6440, 271, 27855, 519, 2497, 543, 3252, 540, 519, 20258, 1062, 6440, 272, 27855, 519, 2497, 543, 3252, 540, 519, 16757, 1062, 6440, 273, 23737, 875, 519, 16757, 543, 20258, 1949, 960, 1927, 6440, 274, 23737, 602, 519, 4102, 1418, 538, 519, 1560, 568, 849, 1560, 779, 1101, 1899, 540, 8878, 1996, 13596, 7659, 5999, 543, 16301, 24687, 763, 28024, 13762, 3590, 1432, 568, 519, 20258, 1062, 1500, 540, 286, 331, 1516, 5160, 8266, 543, 4766, 519, 3252, 540, 519, 20258, 1062, 269, 272, 2529, 6269, 677, 281, 634, 22403, 779, 7633, 2285, 1489, 543, 3337, 547, 519, 1560, 269, 273, 269, 3682, 339, 1254, 281, 645, 2158, 2149, 519, 4835, 8219, 540, 519, 1560, 269, 274, 8160, 913, 618, 281, 634, 22403, 814, 513, 1062, 540, 10549, 543, 682, 951, 602, 11282, 609, 6091, 547, 3132, 3350, 269, 275, 8160, 514, 1968, 19554, 281, 645, 2158, 2270, 14425, 540, 6886, 267, 971, 607, 7513, 267, 602, 616, 1271, 547, 3157, 538, 519, 1560, 269, 24269, 7513, 2157, 538, 519, 1973, 616, 1970, 267, 930, 540, 519, 6740, 7513, 568, 5950, 689, 519, 7633, 269, 276, 269, 26108, 8426, 19725, 281, 10552, 2281, 616, 3812, 538, 519, 2571, 20768, 5160, 602, 24831, 519, 4835, 19659, 540, 930, 7633, 23130, 568, 519, 30212, 22403, 286, 763, 7633, 602, 1489, 519, 3844, 7852, 540, 519, 1560, 267, 1519, 519, 5578, 9451, 13887, 6241, 267, 606, 10775, 21799, 23130, 568, 519, 16289, 7781, 22403, 286, 763, 7633, 540, 554, 974, 7916, 267, 7953, 2073, 10652, 6665, 267, 543, 695, 27212, 2127, 11065, 821, 12856, 27855, 519, 6106, 540, 5642, 281, 6440, 275, 290, 691, 18382, 6440, 276, 8967, 784, 344, 24942, 6440, 277, 15253, 716, 24942, 6440, 278, 289, 821, 3057, 992, 6440, 279, 8110, 328, 739, 324, 636, 6440, 1556, 14295, 18382, 290, 691, 18382, 568, 513, 10053, 543, 32248, 6219, 602, 568, 2178, 855, 8465, 269, 898, 666, 581, 1336, 538, 8465, 2694, 540, 519, 1560, 267, 971, 607, 519, 9224, 543, 792, 267, 543, 849, 538, 519, 2127, 1141, 7633, 2743, 269, 14295, 18382, 849, 9428, 2282, 519, 2208, 10824, 693, 454, 6440, 280, 302, 4614, 16438, 770, 6440, 1015, 27777, 29793, 4292, 2416, 1439, 540, 1279, 7633, 267, 971, 607, 1346, 538, 519, 7916, 543, 7953, 269, 901, 20162, 568, 7930, 8719, 676, 5642, 5160, 267, 1818, 519, 1631, 3476, 5642, 6793, 269, 1703, 616, 1100, 1973, 8043, 1369, 20162, 899, 972, 616, 1369, 3020, 5642, 269, 5502, 267, 20162, 2281, 4309, 5567, 998, 18236, 689, 519, 15231, 1973, 8043, 543, 5160, 269, 6440, 1321, 1975, 784, 344, 24942, 288, 4494, 540, 1447, 10053, 29008, 344, 5642, 949, 581, 1336, 896, 519, 9018, 4494, 540, 11741, 5642, 269, 1975, 784, 344, 5642, 568, 711, 2571, 543, 2695, 880, 344, 899, 513, 10051, 26703, 269, 898, 568, 2965, 513, 2178, 3060, 540, 6094, 11103, 602, 8591, 4222, 547, 519, 5642, 1510, 4946, 1454, 4430, 2597, 269, 6440, 1724, 3281, 716, 24942, 289, 2940, 987, 519, 31971, 739, 324, 636, 568, 513, 10053, 4494, 540, 11741, 5642, 269, 715, 12883, 543, 1973, 8043, 2196, 998, 713, 4494, 538, 9055, 269, 6440, 1691, 24942, 3057, 992, 6624, 7633, 723, 606, 6418, 13570, 540, 2571, 5160, 21406, 5642, 20768, 269, 14117, 20768, 568, 1500, 909, 540, 2281, 602, 4558, 3170, 267, 1247, 2699, 20768, 3568, 6565, 2281, 602, 3132, 1034, 2010, 540, 1973, 2281, 269, 6440, 1428, 3131, 328, 739, 324, 636, 763, 14461, 3544, 540, 519, 5642, 568, 513, 9157, 4494, 540, 24561, 5160, 1572, 519, 31971, 739, 324, 636, 269, 0, 1911, 260, 263, 273, 264, 273, 856, 540, 476, 273, 1004, 1336, 713, 3561, 5363, 454, 1607, 12744, 2982, 2985, 476, 272, 910, 476, 274, 856, 540, 476, 276, 3817, 563, 7343, 21043, 645, 295, 3041, 270, 12893, 19405, 476, 4029, 10112, 1539, 622, 5426, 7698, 7343, 21043, 7460, 13415, 540, 519, 7169, 4467, 921, 339, 9220, 7470, 676, 10503, 1142, 840, 21351, 2680, 543, 7713, 875, 621, 8329, 547, 519, 21829, 2782, 269, 7093, 8862, 541, 30631, 20373, 6944, 9084, 547, 519, 21829, 2782, 23210, 543, 4095, 2782, 763, 3943, 543, 4095, 2782, 729, 519, 3345, 1977, 14364, 540, 519, 5001, 18599, 13012, 262, 2782, 269, 634, 2112, 729, 10692, 1063, 519, 10125, 540, 3703, 3013, 543, 1715, 5333, 267, 609, 1312, 5011, 6462, 676, 4108, 4559, 689, 741, 2385, 2477, 540, 4279, 6628, 543, 5333, 267, 607, 1134, 607, 7111, 1977, 16167, 269, 2311, 519, 1376, 540, 519, 2112, 267, 519, 3943, 3345, 1977, 10125, 1185, 513, 2551, 540, 10199, 476, 2568, 267, 1822, 3379, 547, 476, 273, 2929, 538, 519, 2296, 3345, 1977, 10125, 269, 634, 856, 333, 3518, 1229, 3943, 3226, 31030, 593, 519, 12075, 269, 7043, 538, 4655, 267, 519, 1558, 549, 15393, 6082, 10294, 2112, 593, 1142, 824, 538, 476, 11260, 277, 267, 32117, 519, 8705, 689, 513, 6237, 26035, 883, 606, 3486, 4655, 7868, 2296, 543, 519, 3943, 10599, 1194, 585, 7810, 28735, 538, 3345, 3013, 267, 519, 12144, 267, 543, 538, 3127, 269, 634, 2296, 1705, 6038, 2097, 547, 20441, 519, 7810, 856, 14006, 338, 267, 855, 693, 513, 1942, 521, 739, 30452, 602, 519, 4611, 7963, 5176, 10032, 519, 2296, 2229, 269, 898, 729, 602, 7963, 602, 3361, 519, 15583, 566, 540, 13253, 3056, 547, 519, 21829, 2782, 269, 12057, 729, 26525, 547, 3489, 1079, 6859, 282, 1101, 267, 547, 3454, 519, 10125, 547, 9156, 1395, 625, 1163, 2105, 593, 519, 6370, 936, 3345, 3013, 267, 543, 2034, 547, 11177, 519, 20656, 540, 519, 5101, 3127, 7577, 538, 606, 4674, 547, 9156, 1395, 625, 6170, 593, 519, 6370, 936, 3127, 2529, 13610, 2920, 4002, 4989, 476, 276, 267, 476, 12293, 275, 267, 12057, 5293, 513, 9168, 4528, 540, 519, 17491, 543, 20703, 13293, 2920, 630, 15876, 274, 1070, 799, 729, 827, 547, 1163, 790, 269, 7201, 519, 20703, 13293, 2920, 7810, 22278, 1185, 1044, 2838, 547, 2628, 513, 3454, 540, 3670, 533, 775, 829, 20645, 593, 519, 1104, 566, 540, 4914, 12387, 13293, 269, 1809, 1317, 540, 13313, 267, 789, 6140, 859, 12184, 519, 9204, 543, 896, 12827, 519, 842, 1549, 540, 519, 3454, 2443, 602, 519, 2296, 1587, 1131, 581, 14949, 982, 602, 689, 519, 3943, 4639, 28851, 269, 901, 10413, 519, 3703, 4639, 28851, 2344, 538, 12387, 13293, 543, 4006, 543, 634, 4006, 957, 729, 519, 1101, 957, 13684, 676, 519, 3703, 12057, 269, 898, 2322, 513, 1614, 1298, 3454, 593, 4006, 282, 621, 2799, 9204, 593, 6995, 267, 12387, 13293, 267, 10269, 267, 543, 930, 2010, 540, 4568, 269, 901, 729, 519, 1101, 540, 1082, 547, 679, 14141, 519, 21152, 547, 2736, 689, 4789, 563, 7343, 21043, 645, 295, 3041, 270, 12893, 19405, 476, 3953, 1492, 2344, 585, 15555, 267, 799, 519, 10125, 1185, 1044, 6721, 538, 7274, 609, 519, 14949, 3943, 12387, 13293, 269, 634, 3689, 7083, 540, 519, 27308, 267, 543, 26554, 27891, 540, 519, 1401, 3832, 20960, 7083, 717, 1066, 6807, 729, 3843, 547, 3142, 519, 10125, 538, 1899, 609, 2543, 547, 8569, 540, 9204, 269, 1261, 1185, 14132, 539, 909, 519, 13108, 4527, 543, 25009, 873, 547, 1831, 811, 3742, 538, 9821, 11268, 269, 12057, 4956, 621, 1131, 581, 8797, 547, 1118, 513, 1906, 11941, 547, 519, 4123, 6042, 269, 634, 17491, 2920, 4389, 519, 2557, 540, 3454, 593, 12387, 13293, 689, 3670, 533, 775, 547, 1614, 533, 775, 829, 20645, 267, 1247, 717, 1066, 6807, 3576, 3800, 602, 519, 10279, 581, 14553, 24451, 269, 0, 296, 1810, 1405, 917, 1946, 930, 1004, 723, 713, 4356, 540, 16046, 547, 1919, 789, 2901, 4769, 1405, 1224, 610, 1589, 1100, 835, 3116, 786, 1224, 267, 855, 519, 3095, 1281, 2608, 2254, 265, 723, 519, 12191, 3823, 875, 789, 7229, 519, 834, 320, 2071, 257, 2085, 540, 6472, 269, 1703, 616, 1614, 1114, 2081, 547, 5173, 606, 834, 320, 2071, 281, 257, 1611, 267, 11667, 267, 543, 7154, 269, 20290, 2141, 267, 519, 1611, 568, 1031, 547, 5173, 25939, 610, 693, 2547, 602, 781, 1018, 1034, 1004, 786, 1589, 540, 950, 789, 1589, 834, 320, 2071, 1701, 1411, 782, 3314, 713, 689, 1153, 1373, 7229, 607, 1039, 782, 519, 6517, 262, 6502, 543, 7941, 676, 1297, 540, 6517, 269, 2791, 1223, 4945, 519, 3095, 547, 519, 1239, 11540, 1657, 543, 1413, 693, 621, 855, 594, 1589, 596, 3513, 1265, 1022, 540, 519, 3730, 1272, 28135, 585, 594, 4753, 15325, 7475, 909, 538, 519, 1482, 476, 1015, 1032, 2230, 269, 3807, 14626, 2064, 602, 519, 3730, 1272, 1239, 585, 594, 4753, 543, 12601, 6007, 616, 538, 519, 1482, 2039, 269, 2334, 11777, 545, 2064, 540, 1239, 1281, 2626, 519, 20525, 24202, 2243, 269, 3143, 267, 646, 1058, 711, 5855, 827, 12601, 6007, 15325, 1022, 811, 982, 646, 14126, 827, 594, 4753, 15325, 563, 763, 1966, 609, 1210, 1611, 25939, 568, 789, 1810, 1405, 1852, 585, 856, 11502, 269, 1280, 1806, 267, 713, 476, 1015, 1032, 25939, 1797, 585, 1169, 6174, 602, 4991, 883, 513, 20739, 1188, 1472, 2185, 1296, 883, 922, 14438, 972, 781, 606, 3160, 1297, 540, 6472, 602, 616, 2547, 476, 1626, 1296, 2025, 547, 5734, 602, 476, 1015, 1032, 3328, 269, 1284, 9364, 1616, 547, 1294, 875, 1082, 6472, 616, 2698, 539, 1369, 741, 1101, 2185, 1296, 1317, 649, 917, 602, 476, 1839, 260, 540, 519, 6472, 593, 519, 4155, 616, 476, 1626, 1296, 2025, 610, 4587, 630, 10059, 2517, 4178, 6983, 333, 25900, 2593, 270, 1708, 271, 270, 5881, 270, 2764, 270, 1839, 335, 1862, 339, 6122, 770, 1606, 4869, 8696, 26188, 6040, 955, 13440, 867, 30041, 11258, 1916, 2414, 1205, 513, 2631, 540, 856, 11502, 267, 649, 9364, 1616, 547, 1294, 875, 1082, 540, 519, 9510, 6472, 616, 593, 519, 4155, 269, 589, 1906, 1296, 1394, 23625, 7974, 10645, 602, 476, 3199, 260 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1587, 4433, 25631, 1215, 666, 596, 5963, 23596, 513, 1587, 1510, 1210, 621, 286, 6496, 7812, 16888, 23596, 670, 664, 525, 896, 2264, 1510, 1210, 519, 1587, 286, 4270, 594, 4126, 602, 646, 1281, 269, 700, 565, 563, 17504, 540, 5023, 568, 519, 1034, 3532, 1907, 649, 723, 538, 713, 2872, 269, 8416, 16373, 568, 513, 2262, 540, 5023, 1870, 2336, 16123, 359, 5213, 1406, 2995, 1004, 596, 6133, 2472, 2443, 476, 4200, 260, 540, 16066, 300, 2048, 338, 267, 3060, 6725, 3549, 6133, 1945, 269, 1879, 596, 2461, 16042, 2576, 602, 6487, 4986, 827, 707, 2754, 267, 972, 2472, 543, 13180, 1544, 1810, 1406, 2995, 873, 707, 9513, 873, 1945, 563, 25539, 2752, 568, 3989, 607, 606, 18473, 7553, 2014, 676, 519, 3661, 602, 2576, 610, 1945, 568, 5906, 267, 2693, 547, 2014, 1928, 267, 610, 513, 3463, 563, 2171, 782, 723, 513, 4250, 540, 1945, 269, 21824, 540, 5821, 267, 4250, 540, 1967, 267, 4250, 540, 519, 4158, 267, 4250, 540, 824, 779, 6028, 721, 543, 865, 593, 269, 1284, 782, 723, 4810, 4250, 693, 835, 942, 610, 1776, 563, 9032, 260, 540, 519, 1004, 945, 1205, 883, 3060, 6725, 3111, 269, 4107, 540, 891, 1004, 3111, 711, 1317, 789, 723, 519, 4636, 16066, 300, 2754, 267, 4057, 909, 1899, 1489, 610, 1256, 6159, 653, 344, 5012, 269, 4107, 1004, 3111, 538, 3060, 6725, 1317, 789, 3274, 1810, 1406, 723, 2614, 8404, 547, 5397, 873, 547, 798, 519, 3527, 789, 991, 547, 798, 538, 1931, 547, 8011, 563, 293, 792, 540, 5821, 568, 513, 5458, 835, 585, 1034, 1004, 945, 616, 19480, 856, 540, 741, 4313, 7997, 547, 1376, 5346, 538, 3060, 6725, 269, 1215, 1281, 835, 1265, 519, 2014, 540, 519, 4250, 540, 968, 325, 19691, 892, 286, 3689, 649, 991, 547, 1174, 1018, 621, 568, 602, 968, 325, 19691, 892, 2965, 1797, 563, 14240, 540, 14174, 6579, 13543, 454, 272, 513, 2433, 522, 3939, 540, 12136, 610, 2773, 282, 4481, 2433, 513, 17528, 547, 1685, 513, 10279, 610, 4397, 2962, 454, 273, 513, 2433, 3668, 540, 1967, 454, 321, 2433, 513, 17528, 538, 1870, 2433, 28153, 454, 1432, 568, 621, 602, 596, 616, 12922, 540, 286, 674, 9430, 538, 707, 1935, 547, 824, 779, 827, 707, 968, 641, 1636, 29774, 892, 547, 1118, 513, 15895, 4747, 543, 1689, 741, 2729, 585, 519, 1732, 286, 21824, 540, 711, 6031, 519, 1318, 1919, 547, 1004, 286, 21824, 540, 17528, 1974, 8627, 2290, 666, 1152, 3111, 693, 1018, 789, 616, 3843, 547, 798, 950, 789, 16718, 3843, 2336, 5719, 23605, 267, 1072, 267, 1920, 543, 960, 5054, 666, 1039, 547, 519, 2566, 649, 8593, 538, 938, 12194, 602, 1291, 721, 547, 5821, 269, 1215, 666, 649, 7753, 938, 4250, 540, 9306, 938, 1870, 4316, 547, 1866, 888, 268, 6657, 538, 4395, 540, 513, 11604, 267, 1294, 3054, 2965, 6158, 547, 513, 1268, 827, 707, 4316, 543, 581, 13730, 267, 25981, 543, 12837, 269, 6258, 547, 4487, 707, 5114, 547, 3054, 538, 4395, 540, 519, 11604, 543, 6340, 547, 1866, 786, 1831, 513, 2067, 4356, 563, 268, 11644, 256, 7937, 594, 917, 602, 568, 1945, 1034, 540, 721, 1810, 1406, 2731, 1616, 547, 798, 269, 11644, 13847, 1439, 6973, 514, 779, 267, 1439, 6973, 514, 779, 1118, 721, 6126, 269, 8414, 1004, 1810, 1406, 979, 1472, 4250, 532, 3388, 538, 1272, 543, 5855, 827, 621, 1932, 563, 268, 31802, 568, 1018, 8952, 721, 3001, 4464, 2509, 519, 9096, 1899, 269, 6145, 513, 986, 1356, 945, 568, 693, 519, 4358, 1899, 543, 1294, 779, 2933, 693, 519, 9096, 10888, 519, 16101, 563, 293, 8986, 616, 1483, 543, 789, 666, 581, 7753, 269, 28423, 547, 707, 13384, 528, 538, 707, 3060, 6725, 1870, 267, 1577, 873, 917, 1018, 596, 2461, 12922, 540, 269, 1403, 789, 4465, 1406, 948, 596, 8275, 707, 2407, 1761, 1287, 1847, 5196, 2576, 945, 786, 2336, 2467, 616, 1004, 899, 8885, 8348, 547, 3391, 596, 543, 1832, 596, 12592, 547, 1847, 538, 519, 1318, 4287, 540, 1967, 563, 294, 664, 634, 1520, 2779, 720, 2336, 3963, 568, 1018, 596, 1616, 855, 666, 1406, 723, 811, 13267, 982, 1018, 596, 666, 723, 888, 10144, 7287, 1018, 789, 666, 1406, 723, 1317, 621, 779, 519, 2653, 1259, 856, 269, 634, 12492, 762, 3340, 2182, 960, 1247, 6720, 553, 1944, 827, 1018, 649, 666, 1406, 723, 568, 607, 2653, 607, 1554, 29681, 269, 1879, 596, 1491, 2476, 1945, 602, 568, 5176, 12492, 762, 621, 12153, 891, 24353, 13821, 543, 26182, 606, 3929, 5114, 267, 799, 5012, 547, 513, 3375, 563, 13914, 540, 513, 942, 950, 1945, 596, 4941, 729, 3144, 2476, 689, 596, 543, 875, 596, 2746, 539, 547, 621, 269, 21518, 596, 8348, 547, 960, 9875, 585, 621, 811, 982, 2479, 1354, 596, 4503, 621, 888, 268, 1772, 606, 1931, 512, 6033, 630, 322, 2396, 518, 3028, 20218, 264, 1772, 513, 4863, 1807, 543, 1966, 24626, 454, 268, 13667, 338, 547, 5225, 1866, 13667, 338, 547, 3094, 630, 529, 333, 1406, 12922, 547, 2161, 1100, 994, 268, 1772, 7683, 6340, 14443, 338, 5561, 1772, 7683, 6998, 2055, 454, 288, 6251, 568, 3804, 20218, 543, 5784, 1142, 6455, 1289, 610, 3346, 607, 513, 1900, 2509, 519, 3853, 646, 610, 1352, 814, 1305, 267, 711, 607, 519, 3804, 3294, 269, 589, 6251, 568, 1582, 18101, 1211, 267, 5373, 689, 4835, 8404, 547, 3251, 2318, 2429, 10865, 6455, 9979, 269, 634, 960, 2802, 545, 568, 811, 1967, 20218, 982, 513, 6455, 17367, 563, 268, 31698, 909, 2038, 267, 13978, 3735, 547, 9585, 519, 4305, 1354, 873, 563, 268, 3502, 1152, 6499, 547, 856, 8688, 9905, 267, 6499, 547, 856, 1685, 873, 607, 1134, 454, 268, 13760, 338, 602, 1169, 968, 17472, 892, 568, 835, 1900, 6251, 547, 513, 968, 312, 2464, 7536, 268, 634, 811, 789, 3346, 1866, 267, 1797, 811, 3255, 543, 811, 6455, 454, 268, 30498, 3232, 267, 12353, 267, 10865, 3853, 543, 589, 6224, 296, 14110, 2464, 5990, 300, 2336, 1805, 11691, 5812, 568, 519, 1482, 609, 1169, 6455, 12334, 538, 1022, 1870, 269, 7102, 6205, 538, 606, 20835, 786, 3858, 609, 803, 269, 1684, 621, 519, 1482, 1259, 1169, 2582, 942, 269, 12164, 306, 8780, 27301, 312, 4959, 5990, 26395, 312, 2336, 10673, 1406, 1577, 7301, 1064, 14476, 1832, 596, 689, 3001, 4464, 609, 707, 17050, 269, 7102, 9042, 666, 581, 2699, 20526, 543, 1565, 547, 7753, 519, 1843, 687, 568, 519, 2182, 851, 269, 2368, 1004, 1175, 4465, 1406, 1900, 909, 547, 519, 6676, 543, 4444, 1018, 707, 9513, 269, 2311, 2547, 596, 666, 3180, 707, 2212, 909, 1164, 693, 519, 1439, 540, 519, 1554, 6616, 596, 4076, 2944, 707, 1655, 563, 294, 664, 634, 1520, 2779, 720, 2676, 5970, 596, 2479, 14478, 519, 3381, 676, 17363, 590, 710, 330, 11331, 267, 968, 9359, 338, 2060, 4208, 892, 286, 1261, 2306, 4277, 2798, 547, 31739, 593, 563, 5472, 1390, 3401, 1589, 267, 957, 543, 1246, 519, 1482, 1259, 269, 19378, 22868, 267, 9410, 13162, 3751, 543, 519, 19159, 645, 1278, 779, 585, 1383, 269, 1358, 5968, 519, 3169, 1482, 1259, 269, 898, 568, 519, 2347, 6587, 540, 3025, 3116, 543, 689, 1018, 649, 616, 6026, 538, 6455, 543, 6725, 2553, 269, 2353, 17363, 590, 710, 330, 1705, 729, 968, 322, 617, 1518, 892, 621, 269, 1548, 646, 1705, 1985, 11207, 1500, 2631, 547, 803, 269, 634, 1769, 15941, 538, 1250, 2212, 4682, 593, 543, 594, 993, 16042, 1250, 1870, 538, 519, 1482, 1259, 563, 19352, 513, 3077, 593, 513, 4062, 540, 1957, 269, 5269, 1614, 10580, 267, 835, 2462, 267, 835, 4130, 3330, 519, 2462, 835, 543, 1287, 1776, 4130, 835, 3330, 602, 835, 269, 3973, 3330, 519, 10545, 5858, 2328, 538, 968, 3963, 892, 2073, 519, 1647, 5858, 2328, 538, 968, 1692, 5608, 543, 538, 519, 3544, 3677, 5858, 2328, 538, 968, 1432, 9731, 2690, 1383, 646, 12909, 827, 11197, 543, 875, 789, 2461, 2653, 547, 1174, 543, 3025, 4991, 621, 269, 4107, 6725, 543, 6455, 616, 2944, 676, 1919, 899, 267, 968, 2171, 1118, 1390, 5904, 269, 1358, 2461, 18991, 2966, 267, 2241, 547, 946, 543, 3593, 7874, 269, 21763, 547, 4444, 835, 888, 1432, 779, 519, 3017, 609, 11197, 286, 3371, 779, 875, 789, 2965, 5968, 269, 968, 31819, 649, 798, 267, 649, 3494, 538, 4101, 519, 4567, 9889, 269, 1284, 3494, 538, 3206, 8335, 269, 634, 1259, 649, 4161, 519, 4567, 9889, 568, 676, 1818, 938, 2472, 18991, 2966, 267, 2241, 547, 946, 543, 3593, 7874, 269, 1284, 1175, 4755, 547, 1118, 1390, 5904, 269, 21763, 547, 4444, 835, 18313, 8855, 602, 1004, 1810, 1406, 4444, 1018, 596, 798, 267, 789, 4444, 1946, 596, 798, 621, 2336, 2252, 596, 2911, 827, 1018, 596, 3494, 267, 596, 786, 4482, 1346, 945, 3494, 1018, 596, 3494, 256, 10369, 689, 519, 1448, 540, 2070, 547, 1265, 856, 2048, 25585, 892, 789, 991, 707, 1587, 610, 2533, 711, 968, 6343, 892, 789, 991, 269, 1215, 616, 596, 16042, 707, 2344, 1747, 13395, 286, 3245, 519, 3330, 856, 610, 519, 3544, 538, 286, 2878, 7883, 547, 13334, 543, 4585, 519, 3381, 2878, 265, 898, 786, 2491, 519, 13642, 17781, 538, 1469, 563, 22117, 619, 8300, 721, 269, 1284, 1246, 3401, 585, 6000, 267, 711, 585, 873, 269, 5457, 547, 2307, 3054, 267, 968, 3963, 892, 596, 723, 519, 2702, 547, 8300, 1346, 1472, 596, 610, 547, 1265, 1866, 945, 8300, 873, 563, 294, 664, 634, 1520, 2779, 720, 2336, 20584, 16694, 782, 2326, 941, 3144, 689, 519, 3381, 676, 17363, 590, 710, 330, 11331, 968, 1692, 4279, 24285, 23512, 790, 11059, 6100, 0, 290, 2734, 622, 12287, 3125, 538, 3013, 267, 4828, 7151, 454, 19675, 11283, 725, 581, 2808, 7606, 888, 763, 9746, 1268, 3125, 11865, 729, 21892, 547, 5581, 519, 6073, 538, 799, 14078, 1058, 2932, 741, 1870, 269, 898, 729, 711, 5497, 547, 581, 513, 1907, 540, 12879, 585, 14078, 547, 946, 538, 1931, 547, 2333, 741, 1378, 1379, 543, 3310, 563, 763, 2136, 2276, 10966, 7040, 607, 2484, 1394, 607, 476, 6642, 277, 267, 2687, 547, 717, 753, 630, 1001, 271, 1070, 3459, 547, 6451, 519, 2856, 602, 14078, 1058, 581, 5701, 607, 7606, 1282, 519, 2013, 13244, 27262, 642, 269, 8828, 7414, 21805, 267, 950, 519, 5480, 27680, 6592, 519, 12751, 10456, 538, 602, 1974, 267, 1282, 1010, 5711, 4661, 267, 900, 874, 5597, 7150, 602, 519, 9139, 14014, 14078, 1175, 553, 7606, 269, 1717, 1058, 14078, 2221, 581, 2016, 519, 4567, 540, 9746, 17367, 3125, 602, 729, 11130, 827, 5176, 476, 10219, 1296, 3516, 888, 290, 2734, 725, 1058, 711, 581, 2808, 607, 7606, 5103, 519, 4214, 2322, 4464, 676, 13660, 3873, 830, 269, 7775, 326, 630, 1001, 272, 1070, 799, 2829, 602, 789, 616, 3656, 9988, 2813, 896, 519, 6392, 540, 29071, 602, 11863, 2516, 540, 7606, 9117, 607, 23265, 267, 547, 4019, 547, 2229, 585, 4830, 3906, 547, 581, 2813, 547, 11654, 1808, 6859, 609, 3656, 2924, 799, 729, 5892, 11603, 585, 2043, 269, 1452, 2924, 1331, 9522, 647, 324, 543, 581, 647, 539, 267, 547, 1378, 3959, 267, 16926, 5520, 267, 543, 547, 10211, 543, 10210, 2724, 630, 291, 340, 3873, 830, 269, 7775, 326, 267, 476, 1001, 272, 1916, 763, 645, 990, 4536, 476, 8146, 280, 9218, 849, 25495, 602, 18294, 1058, 581, 5701, 607, 7606, 950, 621, 17551, 621, 568, 606, 5841, 1268, 2813, 676, 1876, 543, 7768, 540, 2043, 945, 7449, 626, 538, 1560, 2184, 545, 896, 2027, 29559, 609, 519, 4390, 585, 10419, 783, 19588, 543, 540, 9117, 1369, 9165, 543, 1915, 607, 2067, 1268, 630, 291, 340, 3873, 830, 269, 7775, 326, 267, 476, 1001, 272, 1916, 290, 2734, 725, 676, 891, 8847, 786, 581, 2111, 547, 7500, 585, 1896, 4627, 1296, 267, 1818, 3664, 16155, 267, 20833, 267, 17215, 543, 20019, 267, 5103, 2242, 538, 741, 3889, 676, 1140, 761, 687, 1813, 547, 7972, 267, 29997, 725, 267, 543, 2165, 5209, 563, 2005, 1223, 581, 11130, 1759, 593, 519, 4214, 2016, 676, 13660, 3873, 830, 269, 7775, 326, 1001, 272, 1070, 602, 14078, 1058, 581, 9833, 607, 7606, 2348, 2924, 899, 2067, 2043, 547, 5191, 540, 4633, 543, 3160, 5639, 538, 519, 12602, 540, 519, 2197, 267, 1256, 689, 2797, 5380, 269, 634, 14074, 540, 519, 3689, 14821, 540, 519, 2475, 9139, 267, 799, 2829, 602, 6837, 4927, 1118, 1100, 4031, 18245, 606, 10661, 540, 4984, 267, 610, 10238, 1746, 519, 1863, 3635, 610, 705, 5090, 3101, 519, 5191, 540, 267, 610 ]

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

[ 0, 13971, 7757, 18712, 5303, 585, 13909, 543, 20904, 540, 13216, 4982, 760, 906, 543, 11120, 1988, 454, 13971, 7757, 4641, 2029, 568, 4742, 5051, 4052, 269, 901, 3184, 1101, 12857, 519, 5169, 540, 713, 2029, 269, 3973, 267, 621, 11329, 856, 602, 1317, 8121, 666, 8275, 519, 5610, 540, 519, 10570, 1158, 543, 519, 3787, 1158, 267, 713, 2029, 568, 3808, 547, 7494, 2087, 519, 4398, 540, 1480, 5698, 543, 814, 2484, 23568, 4644, 269, 8921, 267, 519, 1292, 4066, 543, 3156, 540, 8121, 538, 519, 10198, 543, 5826, 540, 1950, 16491, 906, 543, 6703, 616, 5941, 269, 634, 8772, 851, 11828, 519, 1271, 1909, 540, 713, 2029, 538, 519, 1382, 1217, 26494, 538, 3624, 269, 634, 11359, 851, 540, 713, 3184, 5631, 11828, 519, 2078, 1063, 8121, 2029, 543, 519, 1699, 2442, 4066, 269, 898, 9727, 519, 14911, 3347, 1851, 873, 269, 2311, 519, 1439, 540, 713, 3184, 267, 519, 2042, 543, 16548, 540, 8121, 2029, 616, 4330, 563, 21292, 13971, 7757, 4641, 13216, 16491, 906, 543, 6703, 20904, 13909, 21664, 454, 268, 476, 272, 5861, 7596, 749, 570, 303, 267, 631, 714, 749, 667, 310, 267, 4119, 7757, 4641, 281, 606, 3498, 540, 9843, 5346, 4159, 2029, 547, 8261, 5663, 3157, 267, 18619, 540, 519, 26062, 6363, 604, 628, 16127, 4139, 10985, 593, 3590, 7070, 267, 476, 1960, 273, 32155, 10104, 454, 268, 476, 273, 8160, 691, 514, 589, 269, 3767, 752, 267, 8111, 23101, 2209, 281, 16816, 745, 1143, 267, 12472, 267, 543, 4208, 1284, 10261, 3962, 4033, 547, 590, 1075, 3865, 630, 514, 4457, 1070, 2098, 515, 10202, 836, 1004, 779, 14539, 5600, 267, 476, 1001, 274, 32155, 10104, 454, 268, 476, 274, 28629, 340, 1998, 25424, 4498, 926, 267, 589, 5618, 1686, 540, 30768, 630, 514, 4457, 1070, 16275, 12087, 4964, 267, 476, 1001, 275, 32155, 10104, 454, 268, 476, 275, 11065, 2989, 1112, 9400, 744, 685, 294, 768, 534, 18722, 267, 22569, 1441, 18877, 281, 14484, 687, 593, 519, 18882, 543, 24619, 540, 2817, 1143, 630, 514, 4457, 1070, 29258, 1004, 779, 14539, 5600, 267, 476, 1220, 276, 32155, 10104, 0, 25413, 11608, 723, 3144, 513, 2985, 689, 519, 7233, 10794, 3883, 269, 12207, 693, 519, 594, 560, 527, 19513, 7969, 334, 1019, 570, 1815, 333, 860, 807, 630, 2862, 307, 264, 538, 2637, 10394, 630, 2005, 3315, 264, 723, 2919, 513, 2571, 8773, 609, 2147, 2168, 3601, 547, 2371, 602, 568, 2111, 547, 31770, 543, 18214, 899, 2030, 30676, 269, 4256, 1382, 267, 3370, 2063, 3018, 538, 519, 4760, 7186, 18058, 267, 1223, 1291, 547, 513, 1007, 5108, 540, 2571, 11608, 543, 15409, 4066, 267, 971, 607, 281, 645, 269, 25231, 7410, 602, 666, 1689, 741, 3337, 563, 296, 798, 711, 1419, 1589, 540, 2030, 3350, 269, 2290, 540, 519, 1034, 4122, 4080, 1806, 540, 2030, 3350, 1223, 581, 519, 14656, 540, 3762, 538, 513, 23097, 5387, 19026, 8038, 339, 1905, 269, 1809, 1082, 2030, 2249, 616, 3001, 267, 741, 3350, 568, 1152, 538, 519, 4287, 538, 799, 789, 1332, 7444, 269, 1677, 1852, 741, 2208, 267, 2371, 946, 1216, 3560, 610, 23015, 2670, 538, 741, 2281, 563, 2862, 307, 781, 2571, 8773, 267, 799, 814, 513, 8465, 4874, 26120, 1560, 4904, 609, 12274, 267, 13147, 923, 713, 1184, 269, 2060, 513, 1970, 19581, 5653, 6007, 267, 519, 2095, 540, 30788, 9901, 5277, 1369, 519, 8773, 666, 581, 9859, 547, 835, 2427, 610, 519, 824, 269, 634, 3350, 540, 519, 5277, 3123, 519, 8773, 547, 1847, 538, 519, 12687, 865, 602, 621, 12798, 543, 17875, 3149, 899, 513, 2030, 11903, 269, 898, 568, 2653, 2614, 547, 7938, 785, 519, 8773, 676, 10941, 532, 519, 5279, 269, 0, 268, 3848, 476, 272, 281, 21023, 532, 519, 7763, 687, 540, 519, 25578, 267, 6129, 267, 543, 9855, 454, 268, 3848, 476, 1015, 281, 9866, 6326, 16544, 540, 5940, 656, 25578, 454, 268, 3848, 476, 1556, 281, 769, 2536, 2590, 18963, 538, 10060, 5020, 7261, 3380, 454, 268, 3848, 476, 1321, 281, 21023, 532, 519, 15329, 550, 7736, 540, 519, 700, 17999, 25578, 454, 268, 3848, 476, 1724, 281, 10289, 3776, 30982, 454, 268, 3848, 476, 1691, 281, 15766, 908, 4033, 8895, 1314, 625, 454, 268, 3848, 476, 1428, 281, 9866, 6326, 519, 12472, 540, 519, 17807, 454, 268, 3848, 476, 273, 281, 5463, 5317, 519, 26726, 11619, 1137, 538, 10060, 2775, 454, 268, 3848, 476, 274, 281, 22718, 2480, 2297, 543, 7763, 687, 540, 519, 17807, 454, 268, 3848, 476, 275, 281, 10289, 3776, 5345, 6295, 9891, 3590, 454, 268, 3848, 476, 276, 281, 1133, 16225, 532, 2423, 2195, 7010, 454, 268, 3848, 476, 277, 281, 10289, 6833, 14111, 17183, 22948, 543, 22014, 12742, 454, 268, 3848, 476, 278, 281, 9866, 6326, 519, 25674, 27951, 4643, 1115, 454, 268, 3848, 476, 279, 281, 18391, 585, 5020, 15332, 3047, 454, 268, 3848, 476, 280, 281, 1160, 6883, 519, 25674, 6129, 454, 20059, 580, 908, 18395, 281, 589, 10417, 783, 7348, 540, 519, 17807, 476, 272, 560, 9990, 910, 10298, 676, 3848, 454, 17359, 3435, 585, 15766, 908, 18395, 281, 589, 10417, 783, 7348, 540, 519, 17807, 1923, 476, 272, 560, 9990, 454, 20059, 580, 908, 18395, 281, 589, 10417, 783, 7348, 540, 519, 17807, 1923, 476, 272, 560, 9990, 910, 10298, 676, 3848, 7476, 9509, 10298, 454, 288, 3069, 540, 20296, 1689, 1101, 2919, 676, 31735, 1014, 31485, 6660, 583, 514, 6660, 1678, 990, 3558, 269, 898, 568, 1759, 593, 2242, 538, 519, 3337, 540, 3047, 779, 10739, 267, 7648, 538, 519, 21933, 18709, 540, 3047, 779, 7852, 267, 543, 519, 530, 984, 17331, 540, 3047, 779, 7852, 563, 288, 6531, 540, 30437, 3154, 9599, 676, 22292, 5982, 689, 3905, 6801, 563, 763, 1101, 4494, 540, 519, 3859, 5790, 1336, 2047, 1657, 519, 2584, 14459, 563, 288, 4183, 1336, 538, 23572, 602, 568, 4646, 950, 513, 26106, 716, 924, 543, 26106, 698, 332, 924, 6443, 563, 288, 3069, 602, 8385, 6069, 602, 519, 17407, 616, 986, 1111, 539, 827, 269, 898, 814, 9247, 1044, 8719, 676, 519, 6676, 23033, 9582, 3069, 563, 288, 5276, 7997, 2059, 799, 18626, 12776, 14459, 21018, 543, 27605, 6306, 269, 4706, 5137, 949, 1665, 519, 4098, 540, 513, 1007, 5836, 16935, 563, 763, 2837, 547, 799, 2011, 814, 547, 581, 22799, 538, 1931, 547, 3914, 25294, 563, 1103, 1840, 547, 519, 4247, 5340, 676, 6671, 16986, 267, 713, 1007, 5108, 540, 4365, 16986, 666, 3713, 5163, 2047, 543, 8754, 7494, 2087, 28575, 543, 4049, 7088, 21855, 563, 291, 787, 1606, 28026, 31210, 2916, 454, 288, 2916, 4092, 593, 519, 7178, 5011, 540, 17407, 1063, 4234, 6421, 476, 1789, 4113, 543, 476, 3393, 4113, 269, 898, 568, 519, 1152, 18519, 2916, 609, 513, 2178, 5162, 13247, 5021, 563, 763, 10465, 1063, 1079, 7755, 334, 1456, 2011, 13999, 2348, 17804, 4162, 563, 8450, 26439, 545, 6532, 9095, 563, 299, 1149, 8220, 2798, 540, 3160, 2837, 563, 763, 3337, 540, 891, 546, 17480, 20998, 536, 1105, 753, 267, 4849, 741, 4388, 1448, 883, 519, 2842, 282, 789, 1419, 1106, 2059, 5032, 338, 602, 723, 2178, 593, 17060, 12798, 267, 10731, 5070, 267, 543, 10664, 602, 14356, 6227, 519, 5070, 563, 2304, 6293, 602, 5638, 13091, 6329, 563, 295, 580, 4554, 23864, 2039, 602, 4386, 2282, 519, 2053, 540, 519, 1007, 543, 2407, 24262, 563, 20540, 545, 1689, 538, 519, 15038, 540, 519, 5836, 2627, 563, 288, 2165, 4294, 547, 5337, 15667, 7725, 602, 2270, 1507, 19659, 1572, 5738, 2873, 267, 799, 616, 4646, 950, 9362, 9101, 689, 23419, 563, 14157, 4754, 545, 6532, 9095, 454, 288, 5832, 540, 15027, 10195, 3622, 4092, 513, 1906, 4627, 12919, 689, 513, 29503, 1141, 3742, 1016, 9134, 540, 835, 30173, 28973, 9944, 1776, 568, 9648, 563, 763, 5580, 1377, 540, 519, 15459, 7997, 540, 15780, 269, 0, 24375, 940, 896, 8361, 24163, 267, 519, 29842, 534, 5783, 543, 6967, 998, 547, 519, 16972, 5736, 729, 513, 942, 540, 1390, 3909, 7130, 269, 769, 4789, 713, 5736, 32708, 539, 1282, 519, 476, 1428, 628, 543, 476, 1626, 628, 2540, 269, 901, 22166, 1256, 28955, 538, 519, 30148, 8941, 973, 1243, 547, 1453, 1354, 789, 4682, 547, 5127, 269, 3619, 846, 344, 3619, 846, 344, 717, 6387, 8756, 539, 519, 1390, 4550, 4211, 987, 4301, 1143, 1459, 538, 4789, 267, 607, 621, 7604, 1078, 513, 7826, 17308, 6456, 2476, 538, 513, 5728, 12068, 1369, 5321, 267, 9319, 741, 1034, 1978, 2669, 2390, 6602, 269, 634, 887, 344, 1023, 540, 4789, 941, 865, 679, 571, 3022, 609, 1004, 543, 741, 3801, 547, 12404, 519, 20577, 602, 3025, 538, 519, 2777, 1131, 581, 30992, 547, 2669, 267, 711, 1152, 519, 17308, 269, 2290, 29943, 540, 519, 22565, 1373, 513, 4704, 547, 1346, 540, 519, 7826, 5132, 568, 1813, 547, 519, 2446, 540, 711, 6031, 1010, 19001, 267, 607, 3335, 789, 941, 9275, 538, 5824, 563, 7628, 519, 476, 1428, 628, 2540, 538, 4789, 9966, 27679, 667, 636, 27679, 729, 513, 1455, 28215, 1031, 547, 4766, 3677, 1004, 269, 901, 949, 723, 19443, 11066, 2961, 2651, 1247, 20515, 519, 4605, 547, 4217, 519, 22565, 9966, 27679, 667, 636, 27679, 538, 1010, 1433, 7705, 3414, 519, 18391, 19371, 799, 729, 3370, 538, 476, 8687, 271, 267, 972, 2934, 513, 5180, 4212, 9361, 593, 513, 3774, 269, 1703, 729, 513, 3540, 2112, 538, 519, 1032, 540, 476, 13932, 279, 538, 519, 4884, 540, 2051, 17998, 269, 2051, 17998, 2483, 1862, 1647, 540, 1957, 4429, 24222, 543, 1287, 6068, 1200, 1360, 1134, 892, 630, 13126, 1040, 8834, 267, 8834, 27124, 7219, 661, 831, 568, 1776, 4158, 9661, 799, 568, 17711, 18396, 730, 538, 1931, 547, 12404, 519, 1244, 571, 1386, 2623, 621, 6799, 269, 1635, 2921, 513, 25164, 3315, 3749, 2070, 540, 519, 22565, 621, 568, 6654, 519, 8834, 779, 2126, 540, 1010, 1101, 7385, 28837, 4250, 540, 543, 513, 7287, 547, 1852, 2021, 267, 607, 6045, 676, 21667, 24305, 514, 538, 595, 2784, 548, 543, 2353, 281, 513, 8836, 543, 30551, 5530, 540, 12502, 2044, 681, 1506, 6996, 269, 4438, 519, 16972, 5736, 1832, 1131, 581, 1031, 538, 513, 2631, 540, 3246, 585, 1010, 7385, 267, 2428, 519, 3239, 540, 1010, 7385, 538, 606, 20583, 7387, 6157, 10522, 1832, 538, 513, 811, 5609, 3563, 543, 2413, 3159, 269, 1703, 6013, 513, 6456, 3992, 538, 14235, 1079, 540, 519, 22565, 267, 519, 7681, 540, 7365, 543, 1565, 875, 547, 11963, 1522, 723, 513, 2178, 17499, 9029, 585, 519, 1126, 676, 1065, 7675, 741, 5667, 15384, 30829, 7279, 827, 4638, 6927, 538, 3870, 540, 519, 1702, 602, 4079, 2709, 3079, 563, 23921, 5675, 6435, 888, 7476, 5955, 593, 8239, 267, 9355, 267, 6677, 1707, 543, 7954, 14678, 5861, 515, 1188, 707, 1957, 19314, 268, 634, 3778, 540, 12502, 2044, 27550, 327, 6996, 1879, 596, 1589, 540, 21543, 30053, 267, 798, 596, 1589, 540, 17608, 267, 25064, 3756, 596, 5129, 607, 513, 1126, 269, 6056, 1586, 269, 4107, 540, 519, 21543, 30053, 602, 723, 1831, 865, 2442, 609, 519, 1453, 941, 2760, 5497, 585, 873, 269, 4107, 3459, 607, 12563, 8964, 610, 3440, 6758, 23475, 538, 512, 11232, 985, 269, 1452, 8964, 630, 337, 1506, 6996, 264, 782, 1034, 2141, 941, 2854, 547, 1118, 1187, 540, 3909, 3401, 610, 547, 575, 1601, 760, 827, 15438, 543, 30842, 630, 19322, 11927, 3821, 16163, 269, 476, 272, 268, 276, 1040, 12502, 2044, 30053, 616, 1373, 6594, 519, 2250, 1906, 5756, 607, 513, 1259, 547, 948, 1453, 1451, 741, 9904, 543, 2338, 2807, 1496, 15912, 281, 14430, 2639, 27149, 280, 1913, 630, 278, 269, 272, 3817, 994, 268, 634, 9093, 540, 12624, 3619, 846, 12502, 2044, 681, 1506, 6996, 968, 296, 11146, 9741, 623, 1380, 344, 892, 594, 2648, 2370, 533, 1380, 344, 267, 1315, 15463, 10359, 568, 865, 3636, 267, 1315, 4517, 952, 594, 1810, 1406, 10413, 1200, 267, 1315, 9515, 3580, 798, 803, 1100, 2800, 269, 1315, 3383, 594, 3580, 711, 7485, 1200, 2766, 267, 1315, 301, 528, 5397, 1200, 2476, 267, 1315, 3719, 533, 1380, 344, 543, 594, 267, 1315, 25802, 9900, 786, 1404, 269, 630, 10674, 2517, 4178, 269, 29992, 334, 2593, 11721, 13637, 14672, 2720, 2044, 9706, 1380, 344, 269, 5684, 264, 968, 10481, 3073, 773, 623, 3073, 773, 892, 9677, 773, 623, 3073, 773, 267, 30077, 514, 685, 543, 2650, 267, 1315, 298, 1170, 539, 519, 6690, 543, 1500, 873, 3956, 269, 1315, 2691, 519, 8695, 3357, 856, 547, 1404, 267, 1315, 10481, 3073, 773, 623, 3073, 773, 10443, 2476, 269, 630 ]

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

[ 540, 1114, 14104, 3681, 267, 6236, 2188, 971, 607, 1719, 3928, 267, 23231, 618, 2474, 267, 543, 25046, 7355, 267, 547, 3313, 519, 1034, 5078, 4781, 1759, 593, 1367, 6381, 563, 10112, 31757, 519, 17776, 593, 20971, 630, 4629, 296, 264, 585, 9891, 7754, 1564, 454, 3080, 540, 519, 1883, 2883, 9270, 540, 3859, 8470, 10380, 568, 12570, 519, 1761, 2132, 593, 5092, 630, 4629, 296, 1040, 29626, 519, 21614, 296, 3322, 7421, 1585, 2188, 267, 1519, 519, 3355, 10380, 1942, 267, 1761, 9806, 593, 5201, 12014, 267, 543, 1022, 2229, 15314, 610, 3049, 2987, 29388, 563, 763, 2628, 3724, 1974, 568, 1776, 1271, 2460, 547, 2015, 269, 634, 2628, 3724, 1974, 4564, 519, 942, 621, 3217, 585, 519, 9806, 519, 3859, 8470, 1062, 12958, 547, 15558, 519, 3355, 5092, 269, 769, 5245, 267, 3859, 8470, 1949, 3335, 723, 606, 3328, 2628, 3724, 1974, 540, 476, 274, 547, 476, 277, 1296, 267, 4470, 593, 1062, 2450, 267, 1648, 4616, 267, 543, 2199, 5201, 3928, 269, 15332, 519, 2628, 3724, 1974, 267, 3859, 8440, 666, 3136, 547, 5352, 1713, 9806, 607, 5201, 3790, 4473, 269, 3958, 267, 3859, 8440, 666, 2333, 519, 1871, 540, 513, 3959, 267, 7700, 547, 1279, 3856, 2883, 2640, 563, 2750, 13630, 9669, 585, 513, 21988, 9891, 19937, 12305, 566, 454, 12709, 14935, 1058, 1246, 4274, 4388, 543, 1655, 2853, 547, 2327, 513, 3811, 3859, 8470, 10380, 269, 17616, 267, 7446, 513, 18019, 3859, 8470, 3888, 518, 945, 568, 4810, 267, 13931, 267, 543, 26886, 568, 2629, 269, 3194, 532, 6075, 8039, 543, 13844, 2789, 10530, 666, 948, 21427, 1118, 606, 5483, 3375, 563, 19187, 4058, 543, 2079, 540, 519, 3959, 781, 3859, 1761, 616, 849, 1271, 269, 11790, 971, 607, 519, 17568, 543, 10066, 540, 519, 8440, 267, 27864, 2079, 267, 543, 519, 5542, 540, 1164, 7779, 3334, 666, 3648, 1764, 1062, 2773, 543, 1648, 5108, 269, 8617, 5464, 543, 5826, 540, 519, 3859, 8470, 1062, 616, 1883, 547, 5688, 2358, 2773, 543, 4180, 15325, 269, 5851, 14935, 1058, 5432, 1047, 2933, 609, 6296, 5826, 4247, 267, 971, 607, 7738, 8440, 543, 8524, 532, 5122, 4296, 267, 610, 2015, 3318, 5826, 2533, 547, 2327, 519, 1062, 13333, 7561, 936, 922, 14438, 563, 23530, 8470, 10380, 2636, 8241, 21427, 547, 9784, 7791, 1648, 267, 3565, 547, 513, 4264, 2104, 267, 543, 29311, 1713, 1279, 3856, 2883, 2640, 269, 3245, 513, 5491, 8804, 3318, 781, 5133, 267, 10442, 519, 2883, 9270, 540, 3859, 8470, 10380, 267, 1519, 519, 1942, 267, 2229, 6450, 919, 267, 14643, 1237, 10094, 267, 14104, 3681, 267, 543, 2132, 593, 5092, 267, 568, 1898, 269, 1635, 5402, 12570, 891, 2188, 543, 5275, 4274, 5796, 267, 21427, 666, 1118, 5483, 3664, 543, 7832, 593, 513, 22928, 267, 811, 20019, 14785, 2104, 563, 19185, 547, 8804, 707, 3859, 8470, 10380, 286, 6733, 1100, 2417, 982, 3220, 10216, 269, 2060, 938, 3573, 3060, 540, 476, 1789, 266, 32225, 267, 649, 666, 1265, 519, 3501, 10211, 6474, 585, 596, 538, 1175, 3764, 269, 3776, 476, 1911, 260, 2228, 3498, 1184, 2306, 621, 2656, 543, 10375, 269, 2311, 3220, 10216, 267, 649, 3922, 1047, 11413, 267, 4180, 513, 5855, 6954, 1995, 676, 3246, 2312, 1344, 827, 3928, 543, 12375, 269, 7994, 3220, 10216, 585, 707, 3859, 8470, 10380, 10211, 543, 7832, 593, 707, 3460, 2509, 513, 22928, 2104, 609, 4708, 540, 2247, 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 ]

[ 0, 1103, 2487, 1296, 267, 519, 21654, 814, 27838, 1007, 2093, 540, 10350, 543, 12477, 2066, 519, 1158, 269, 2060, 519, 11944, 540, 3059, 2029, 267, 891, 2093, 723, 3144, 593, 1007, 23473, 269, 1306, 513, 1267, 267, 30507, 10350, 814, 1831, 513, 28487, 532, 3956, 585, 1082, 2413, 7239, 563, 4263, 922, 4295, 267, 30507, 10350, 7569, 513, 1007, 5736, 540, 11413, 543, 12477, 269, 901, 1797, 2870, 5238, 602, 616, 5963, 17841, 547, 519, 2115, 540, 519, 1004, 789, 4196, 269, 898, 849, 3322, 4180, 602, 519, 1004, 723, 1569, 547, 4977, 543, 6325, 1344, 827, 519, 25029, 540, 2229, 563, 3080, 540, 519, 1883, 4128, 1946, 11413, 543, 12477, 723, 1831, 865, 1271, 568, 519, 3395, 1253, 6412, 602, 1082, 1004, 723, 538, 741, 6608, 269, 901, 1253, 6412, 568, 1419, 519, 1267, 540, 13313, 267, 524, 1258, 344, 1143, 267, 543, 513, 3668, 540, 11413, 1472, 3375, 6194, 269, 1280, 3236, 267, 4145, 936, 519, 3527, 540, 1082, 2229, 8387, 538, 2487, 1296, 723, 3366, 547, 513, 1007, 5951, 540, 17933, 602, 11394, 547, 3196, 6963, 563, 763, 1434, 3377, 568, 602, 972, 616, 1082, 2081, 538, 799, 6608, 666, 960, 547, 2087, 11413, 543, 12477, 269, 2290, 540, 519, 1034, 2500, 2081, 568, 547, 1711, 1930, 1239, 4507, 602, 1450, 4961, 547, 1569, 1857, 1344, 538, 513, 12905, 543, 12001, 6073, 269, 2311, 519, 1482, 942, 267, 6608, 666, 960, 547, 2087, 741, 2792, 3646, 267, 1519, 519, 946, 540, 1514, 2923, 543, 824, 3059, 5867, 547, 4497, 609, 4961, 563, 2467, 568, 849, 513, 3395, 6284, 602, 11413, 1590, 581, 10483, 676, 12477, 269, 901, 1797, 2348, 5238, 538, 1747, 602, 666, 3180, 2229, 8387, 3743, 585, 741, 3527, 269, 769, 1082, 2665, 267, 713, 3322, 519, 5137, 540, 4830, 4703, 267, 971, 607, 522, 3387, 644, 4944, 619, 976, 610, 824, 12477, 13646, 267, 602, 723, 519, 6392, 547, 8495, 543, 6439, 1518, 4636, 4777, 532, 563, 22818, 1034, 11932, 267, 972, 2115, 547, 581, 513, 4909, 1689, 538, 519, 1259, 649, 1589, 827, 10350, 543, 922, 2078, 547, 2486, 269, 634, 2591, 649, 3068, 2221, 616, 1950, 543, 10562, 267, 543, 2154, 513, 811, 10319, 543, 12001, 1935, 547, 10350, 269, 901, 1797, 2870, 10350, 3889, 602, 616, 17841, 547, 519, 2115, 540, 782, 8639, 267, 689, 3540, 2486, 3906, 547, 519, 4357, 5823, 563, 3725, 23728, 1944, 10350, 568, 711, 513, 2241, 4305, 267, 855, 621, 568, 513, 2556, 835, 952, 649, 616, 547, 10994, 519, 1950, 543, 10562, 2591, 540, 519, 476, 2641, 560, 2540, 269, 1635, 8508, 11413, 543, 12477, 267, 543, 2324, 547, 1711, 10350, 1949, 602, 616, 17841, 543, 17841, 547, 782, 8639, 267, 649, 666, 1711, 513, 2486, 602, 568, 4023, 267, 1175, 267, 543, 4264, 585, 782, 563, 268, 7169, 1944, 26291, 281, 1133, 557, 4979, 519, 772, 660, 1245, 16237, 2195, 540, 28626, 22749, 256, 910, 476, 2537, 632, 15118, 1470, 632, 476, 1708, 274, 454, 268, 21829, 30767, 1133, 557, 6150, 281, 11572, 3487, 625, 15167, 8211, 1670, 19147, 267, 623, 1511, 519, 10158, 585, 28626, 7827, 910, 476, 1428, 632, 15118, 1470, 632, 476, 1708, 274, 454, 268, 7169, 1944, 22640, 281, 1133, 557, 4979, 519, 28358, 22618, 966, 7627, 3590, 602, 3690, 322, 1742, 645, 7451, 256, 910, 476, 1428, 632, 15118, 1470, 632, 476, 1708, 274, 0, 2005, 779, 9956, 14512, 267, 543, 849, 968, 307, 1779, 6145, 9956, 4303, 1848, 769, 519, 6891, 540, 519, 1554, 267, 649, 4076, 2322, 1927, 513, 2241, 476, 276, 9912, 3391, 547, 6158, 899, 9956, 5128, 563, 272, 269, 5700, 2659, 594, 3711, 545, 19999, 600, 2678, 454, 288, 1434, 1747, 547, 1376, 593, 707, 1391, 547, 3280, 899, 9956, 568, 609, 1775, 3711, 545, 20008, 600, 2678, 269, 901, 13417, 5962, 3613, 5962, 4806, 9103, 1023, 4557, 24424, 829, 1899, 543, 786, 8850, 909, 707, 9956, 534, 1893, 3014, 563, 1765, 12312, 6339, 476, 1240, 454, 1765, 3828, 27097, 13957, 281, 2920, 476, 272, 267, 26657, 476, 272, 454, 273, 269, 20873, 5455, 593, 8409, 18190, 543, 19978, 2353, 16272, 454, 4537, 6832, 729, 1134, 268, 951, 539, 630, 7224, 5309, 10784, 2105, 264, 538, 1312, 1010, 8106, 543, 13400, 782, 16272, 269, 774, 8089, 538, 513, 7008, 782, 16272, 1934, 543, 972, 786, 17216, 23666, 707, 2828, 543, 1920, 269, 8347, 26159, 9642, 569, 1808, 4025, 267, 5259, 10971, 267, 543, 13400, 2984, 269, 12844, 639, 2798, 952, 513, 2582, 4845, 3568, 811, 982, 835, 782, 4288, 563, 1765, 9956, 267, 8361, 519, 14520, 628, 3487, 476, 274, 267, 2920, 476, 274, 26657, 476, 274, 454, 274, 269, 2422, 9956, 534, 2552, 10330, 454, 2690, 1326, 519, 2395, 540, 1210, 1697, 27373, 267, 840, 21752, 267, 543, 1913, 269, 5502, 267, 14477, 6443, 1927, 1585, 1913, 547, 3280, 899, 513, 3020, 11193, 986, 935, 974, 584, 269, 2048, 307, 529, 606, 2653, 1259, 2048, 339, 17932, 9956, 543, 1832, 707, 1775, 3711, 545, 2095, 2469, 563, 2080, 616, 930, 1806, 689, 519, 812, 5128, 912, 268, 11313, 307, 529, 630, 527, 568, 994, 268, 744, 630, 2129, 994, 268, 15261, 685, 630, 5976, 994, 268, 12794, 685, 630, 17647, 994, 268, 594, 685, 630, 514, 994, 268, 2048, 307, 1048, 630, 24992, 994, 268, 3026, 685, 518, 630, 6866, 994, 268, 744, 685, 518, 630, 1478, 994, 275, 269, 28423, 538, 769, 20692, 754, 334, 454, 4322, 666, 581, 607, 11029, 630, 528, 711, 11029, 264, 607, 596, 7287, 269, 6787, 596, 2461, 6158, 693, 519, 5604, 610, 538, 4395, 540, 519, 1453, 693, 1753, 267, 14139, 930, 540, 9956, 779, 7961, 340, 754, 657, 666, 1118, 1175, 827, 1022, 1604, 3617, 585, 2892, 20160, 7391, 269, 3807, 1810, 1406, 16620, 721, 585, 519, 6364, 563, 1765, 634, 570, 5446, 540, 519, 1744, 4319, 281, 2920, 476, 273, 267, 26657, 476, 272, 454, 1765, 17283, 281, 2920, 476, 274, 267, 26657, 476, 273, 454, 276, 269, 2422, 681, 1506, 2719, 21676, 921, 1206, 454, 7922, 1678, 14235, 11735, 267, 9956, 849, 4603, 539, 609, 513, 6586, 2719, 7008, 339, 610, 1079, 538, 1010, 942, 269, 3571, 1732, 1634, 1806, 1419, 4125, 519, 2648, 3613, 4459, 523, 19151, 543, 19201, 267, 855, 1810, 1406, 1577, 602, 3247, 596, 689, 6586, 2719, 538, 1022, 3510, 269, 9282, 21245, 6586, 2719, 1522, 5855, 707, 2828, 267, 621, 779, 6038, 909, 547, 596, 950, 621, 7475, 563, 1765, 19151, 543, 19201, 281, 2920, 476, 272, 267, 26657, 476, 276, 454, 1765, 19151, 543, 19201, 281, 2920, 476, 273, 267, 26657, 476, 273, 454, 1765, 30777, 281, 2920, 476, 272, 267, 26657, 476, 274, 454, 6701, 972, 1022, 824, 4388, 596, 666, 1589, 540, 286, 23680, 873, 538, 519, 8292, 2630, 256, 0, 1607, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 476, 275, 269, 271, 4139, 17821, 563, 11749, 573, 908, 513, 11625, 3645, 18500, 12025, 4530, 3842, 519, 476, 274, 12195, 268, 7644, 307, 7844, 454, 1700, 634, 1957, 4843, 513, 9241, 22885, 6863, 2450, 1449, 1759, 593, 3182, 3645, 10291, 281, 11625, 3645, 18500, 12025, 4530, 630, 11901, 4306, 1916, 763, 1957, 4843, 513, 9241, 22885, 6863, 2450, 1449, 1759, 593, 3182, 3645, 10291, 281, 11625, 3645, 18500, 12025, 4530, 630, 11901, 4306, 1040, 589, 2203, 2861, 630, 272, 268, 273, 268, 274, 9936, 26848, 6221, 3210, 3069, 2203, 16198, 264, 1935, 729, 3144, 547, 2638, 799, 2203, 1223, 10110, 519, 1034, 1344, 689, 519, 1239, 269, 28133, 1164, 1153, 543, 3119, 1153, 1053, 15548, 538, 519, 1353, 630, 301, 476, 272, 267, 30500, 1040, 23527, 685, 2702, 9193, 543, 6221, 9936, 9193, 941, 17223, 1759, 593, 4397, 513, 17911, 328, 630, 292, 4338, 264, 1505, 267, 835, 1826, 540, 28662, 1505, 269, 645, 6579, 8104, 5336, 294, 476, 274, 729, 7550, 547, 14892, 9936, 9193, 543, 2203, 16198, 269, 634, 2164, 4951, 602, 519, 476, 274, 12195, 268, 7644, 307, 2203, 1655, 3514, 519, 12170, 1239, 269, 898, 729, 1287, 11130, 602, 1449, 512, 5474, 685, 2296, 6863, 2450, 1223, 581, 1655, 9676, 896, 519, 476, 274, 12195, 268, 7644, 307, 2203, 267, 607, 711, 1152, 519, 7130, 9936, 267, 855, 849, 519, 27378, 9936, 814, 513, 4909, 1909, 547, 1404, 538, 7156, 540, 519, 1449, 3898, 7550, 538, 519, 14346, 4306, 269, 634, 2376, 11943, 602, 519, 14346, 4306, 1223, 723, 2318, 11547, 3724, 2360, 593, 1449, 1646, 543, 2296, 6863, 6044, 563, 22296, 2248, 539, 11239, 25629, 1263, 267, 654, 11607, 307, 269, 630, 1001, 274, 1040, 4406, 573, 908, 513, 11625, 3645, 18500, 12025, 4530, 3842, 519, 476, 274, 12195, 268, 7644, 307, 7844, 269, 18500, 4804, 543, 19019, 267, 476, 273, 263, 272, 1070, 476, 5038, 1700, 10463, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 4281, 273, 271, 23218, 2993, 18192, 6349, 269, 272, 269, 1206, 1263, 0, 763, 4266, 540, 519, 1101, 4013, 8136, 1612, 778, 1393, 7914, 693, 674, 339, 269, 568, 4864, 476, 1626, 267, 476, 3707, 271, 269, 5484, 940, 267, 11908, 267, 5484, 940, 267, 11908, 269, 1635, 1612, 778, 1393, 267, 519, 2500, 7914, 7152, 519, 12316, 2856, 540, 29780, 2666, 8396, 4229, 689, 519, 2136, 2276, 3297, 513, 6370, 1899, 269, 1452, 6607, 7980, 616, 930, 540, 519, 2136, 2276, 8136, 781, 1034, 3810, 9833, 543, 4274, 569, 5423, 10136, 563, 10521, 23197, 15523, 4867, 7500, 538, 519, 2475, 8136, 781, 1699, 23197, 15523, 269, 674, 339, 9538, 338, 476, 11025, 526, 5794, 13871, 10406, 568, 519, 476, 11025, 526, 5794, 13871, 10406, 269, 4858, 1375, 267, 3345, 10491, 267, 519, 1533, 781, 26462, 6498, 267, 729, 3964, 607, 606, 26462, 6498, 269, 634, 476, 11025, 526, 10406, 729, 15181, 693, 8805, 23583, 593, 4864, 476, 1839, 267, 476, 4489, 278, 267, 1282, 2622, 2782, 594, 269, 1358, 941, 2016, 519, 2012, 2353, 1977, 585, 519, 1374, 540, 741, 6498, 538, 476, 4489, 279, 269, 4595, 519, 7980, 3357, 711, 689, 782, 1472, 519, 2197, 267, 855, 1082, 941, 11082, 607, 1134, 269, 1306, 1906, 824, 15523, 1705, 693, 519, 942, 267, 519, 476, 11025, 526, 10406, 6719, 782, 540, 3013, 607, 1906, 824, 15523, 1705, 693, 519, 942, 563, 763, 2034, 543, 1869, 3742, 23197, 6498, 1185, 513, 2110, 24331, 6228, 693, 519, 1376, 269, 634, 476, 6200, 560, 5794, 13871, 10406, 6896, 585, 513, 2110, 942, 1282, 2622, 2782, 594, 593, 5437, 476, 273, 267, 476, 4489, 279, 267, 1282, 2622, 2782, 594, 269, 1717, 267, 519, 2112, 3357, 4166, 1310, 267, 855, 621, 729, 936, 16172, 1310, 269, 634, 21115, 5446, 661, 24346, 556, 19840, 17300, 693, 8805, 1849, 320, 756, 11448, 267, 17039, 267, 593, 4864, 476, 1626, 267, 476, 3707, 273, 267, 1282, 2622, 2782, 4083, 269, 1358, 1631, 2661, 538, 674, 339, 269, 1358, 4867, 2661, 538, 674, 339, 269, 23720, 267, 17996, 267, 23720, 267, 17996, 563, 13828, 4559, 723, 6039, 1472, 519, 1158, 538, 8396, 267, 4708, 15209, 267, 543, 19493, 13485, 563, 1692, 547, 1665, 3084, 23197, 1554, 568, 835, 540, 519, 3084, 23197, 1554, 454, 9596, 811, 827, 519, 5794, 13871, 10136, 540, 634, 2136, 2276, 4108, 563, 268, 13772, 32026, 827, 23197, 10136, 538, 519, 2475, 4108, 454, 268, 10812, 519, 2250, 540, 23197, 4559, 269, 1635, 661, 8160, 269, 4469, 534, 12298, 610, 4934, 540, 519, 9791, 281, 589, 10395, 520, 3778, 540, 1977, 17086, 676, 661, 8160, 269, 4469, 534, 12298, 610, 4934, 540, 519, 9791, 281, 6276, 670, 755, 517, 781, 772, 2529, 269, 8136, 5794, 13871, 15051, 538, 2622, 2782, 4083, 454, 268, 13028, 1256, 811, 676, 9683, 4108, 15882, 543, 18189, 338, 547, 519, 23197, 4229, 454, 14188, 513, 1612, 520, 549, 6016, 543, 946, 1948, 13233, 21080, 13871, 21196, 547, 2022, 593, 1514, 2923, 563, 763, 3084, 23197, 1554, 568, 519, 13074, 1554, 540, 3084, 23197, 1554, 538, 1686, 454, 4002, 4864, 476, 1691, 267, 476, 1220, 273, 267, 5518, 6723, 654, 269, 17312, 10294, 2817, 5794, 13871, 4303, 269, 14130, 22375, 476, 20720, 267, 593, 4864, 476, 274, 267, 476, 1220, 280, 267, 519, 2475, 14130, 540, 519, 476, 9340, 628, 6837, 16033, 730, 2817, 5794, 13871, 4303, 563, 304, 269, 6496, 519, 2475, 8136, 5794, 13871, 723, 513, 1212, 539, 888, 288, 269, 8786, 269, 8786, 269, 634, 2136, 2276, 8136, 781, 5948, 568, 1141, 596, 666, 1265, 621, 269, 634, 2136, 2276 ]

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

[ 15056, 264, 16711, 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, 3848, 476, 278, 281, 18027, 4811, 910, 715, 22021, 21976, 281, 23556, 532, 3776, 674, 25744, 14886, 692, 15916, 972, 256, 8080, 1394, 547, 938, 3184, 593, 10130, 543, 741, 9422, 2115, 269, 4653, 267, 1577, 781, 4685, 883, 519, 4241, 1158, 540, 938, 2185, 6122, 13949, 15274, 262, 11326, 543, 1451, 827, 1945, 1572, 834, 333, 19153, 2437, 3226, 1346, 1336, 538, 741, 5172, 3536, 1765, 8364, 8510, 6233, 256, 1635, 1620, 891, 2035, 267, 596, 786, 1831, 513, 811, 5483, 543, 3743, 4620, 8227, 1247, 1565, 3407, 4245, 827, 3662, 7350, 543, 1072, 269, 1924, 10544, 707, 3206, 11503, 630, 663, 6148, 930, 13000, 1070, 543, 1577, 781, 1205, 3323, 2439, 4089, 476, 272, 281, 1548, 22549, 1772, 589, 715, 22021, 2496, 9617, 899, 3425, 991, 5613, 267, 5388, 267, 5946, 267, 9274, 267, 543, 10683, 2472, 547, 3251, 2635, 267, 2831, 2154, 1114, 6878, 1634, 607, 834, 333, 19153, 257, 538, 741, 6980, 1932, 269, 1452, 1898, 2609, 5512, 873, 547, 1332, 267, 16196, 267, 7816, 1560, 8031, 267, 543, 2226, 1585, 15629, 3252, 269, 5994, 952, 2576, 5143, 596, 602, 596, 1223, 1152, 3548, 835, 1826, 540, 1426, 1169, 1554, 282, 9327, 1405, 1272, 581, 20585, 543, 14432, 286, 2334, 781, 1946, 3478, 519, 2953, 3575, 540, 5567, 5849, 513, 7059, 543, 6126, 6228, 585, 721, 543, 938, 10130, 7567, 2439, 4089, 476, 273, 281, 5463, 5317, 26678, 20126, 281, 26287, 1231, 267, 674, 1846, 267, 1656, 2961, 8510, 6233, 692, 2467, 616, 1614, 3119, 6688, 540, 5567, 281, 5946, 267, 9600, 267, 543, 11950, 269, 1284, 3513, 2263, 1142, 1895, 14350, 1354, 7234, 1946, 19719, 2339, 865, 1454, 538, 707, 4620, 781, 12129, 12826, 780, 3682, 974, 1231, 616, 2629, 2679, 7161, 1031, 676, 1312, 3425, 543, 2831, 547, 1020, 6091, 267, 2960, 267, 4552, 267, 18969, 267, 543, 824, 4105, 8219, 269, 1358, 849, 4196, 607, 11476, 543, 10399, 3743, 585, 1808, 6547, 1369, 4703, 269, 10960, 2959, 971, 607, 9269, 267, 3165, 267, 5798, 267, 543, 14132, 1683, 2347, 5946, 5627, 782, 8370, 2556, 11254, 7408, 2838, 585, 1697, 2208, 543, 1646, 780, 293, 1846, 1419, 723, 513, 3983, 10639, 1851, 1004, 945, 1616, 547, 6336, 2597, 267, 855, 789, 2811, 16832, 3334, 540, 1022, 2713, 1373, 781, 2732, 269, 13245, 9600, 2709, 1648, 4859, 267, 13471, 267, 6171, 6283, 267, 1418, 4027, 267, 543, 1591, 9245, 6617, 269, 17796, 2039, 689, 2030, 2861, 11041, 899, 14462, 3282, 547, 9761, 3165, 899, 13687, 543, 5672, 651, 7758, 780, 7661, 267, 649, 12446, 693, 938, 1292, 1445, 2221, 281, 11950, 256, 10705, 5219, 547, 3274, 607, 1412, 8364, 2125, 10086, 789, 3761, 2656, 28377, 540, 1648, 2877, 585, 3232, 2238, 269, 11822, 14836, 267, 1950, 588, 2117, 1127, 267, 543, 11103, 13822, 19719, 269, 2755, 5243, 1810, 1405, 8209, 991, 19719, 547, 8853, 267, 789, 798, 3565, 3648, 547, 741, 2949, 9716, 543, 8788, 269, 3807, 1589, 827, 875, 9599, 707, 1093, 5255, 4991, 1282, 803, 5306, 830, 610, 1521, 3766, 1516, 8090, 2439, 4089, 476, 274, 281, 1133, 24286, 634, 5295, 2986, 2052, 710, 2961, 8510, 6233, 692, 10111, 2125, 2408, 6923, 538, 1082, 2898, 3536, 10057, 676, 5243, 267, 1519, 5613, 267, 5388, 267, 22053, 267, 543, 9274, 269, 2368, 2442, 5079, 949, 9983, 596, 267, 1498, 256, 21690, 12277, 267, 17112, 267, 22481, 267, 6960, 7573, 267, 24061, 267, 543, 1256, 27046, 22596, 1283, 519, 1592, 540, 27357, 5820, 14095, 609, 6225, 6775, 267, 6886, 267, 14434, 267, 543, 3500, 3146, 3161, 1648, 2959, 780, 4913, 267, 7446, 3617, 19346, 2959, 3587, 2565, 2094, 1978, 9268, 8677, 1522, 1291, 547, 11959, 267, 9667, 2152, 267, 610, 8377, 269, 1280, 3236, 267, 8970, 21360, 267, 10568, 7912, 267, 543, 15568, 4006, 616, 4122, 3773, 6445, 619, 538, 1970, 7779, 5010, 2915, 3536, 602, 3668, 8101, 14312, 1871, 269, 4475, 267, 2141, 1904, 585, 1164, 17263, 4620, 669, 578, 602, 8638, 1483, 267, 30753, 5820, 3079, 540, 12357, 2338, 610, 3114, 7135, 780, 3383, 1631, 596, 917, 1946, 11950, 3180, 4644, 538, 707, 4620, 781, 9422, 4170, 543, 875, 8939, 2298, 3283, 8309, 547, 741, 7524, 2729, 269, 5457, 267, 1620, 1018, 4422, 883, 707, 9663, 14609, 344, 781, 17987, 19141, 12391, 585, 741, 2168, 8516, 543, 3929, 7772, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7072, 547, 13928, 12594, 543, 2961, 8510, 6233, 454, 8702, 547, 938, 3102, 3391, 593, 2915, 6484, 543, 11950, 267, 1141, 649, 3580, 12260, 519, 11580, 547, 30740, 707, 24566, 3659, 609, 519, 1318, 2186, 540, 1648, 269, 5620, 596, 2479, 9289, 875, 1271, 19719, 616, 538, 707, 2915, 779, 2732, 286, 3657, 596, 18516, 827, 799, 2010, 540, 11950, 616, 5078, 585, 707, 22578, 13959, 286, 4270, 267, 596, 4076, 2097, 547, 519, 1318, 1747, 563, 5331, 713, 281, 621, 779, 513, 13566, 6640, 267, 543, 596, 2461, 2921, 513, 16837, 569, 588, 2651, 609, 707, 11537, 7782, 269, 1306, 789, 7708, 339, 6619, 267, 2407, 540, 25525, 543, 15131, 267, 596, 666, 1406, 948, 855, 14952, 693, 741, 3808, 1652, 1648, 269, 7316, 1281, 782, 602, 1648, 2097, 689, 286, 634, 2626, 6013, 538, 741, 6484, 267, 4481, 519, 1909, 602, 11950, 1404, 538, 741, 2949, 1134, 5630, 563, 3086, 12997, 267, 2915, 1426, 513, 529, 956, 616, 4904, 609, 11995, 3681, 1107, 10286, 6954, 713, 543, 15347, 6954, 602, 1107, 6028, 4620, 5411, 829, 14658, 539, 827, 1018, 5963, 6927, 950, 621, 2501, 547, 3246, 6099, 6484, 585, 741, 24566, 2828, 269, 898, 779, 711, 1175, 827, 1165, 331, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 301, 22021, 21976, 257, 607, 851, 540, 834, 14154, 4811, 1315, 5253, 1299, 12594, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 276, 281, 19663, 5455, 3414, 27884, 910, 10289, 28527, 6361, 5025, 613, 11470, 692, 5331, 596, 2811, 8066, 513, 9059, 11604, 602, 2982, 945, 596, 786, 1831, 950, 596, 1332, 909, 269, 15346, 267, 1318, 286, 1809, 9327, 1405, 621, 581, 811, 4277, 952, 267, 3079, 540, 1175, 7487, 3054, 6738, 5346, 267, 596, 1223, 4585, 519, 3460, 540, 1582, 22523, 543, 2208, 998, 9159, 2984, 286, 2334, 781, 1018, 4947, 6361, 21943, 5708, 1281, 256, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 2439, 1432, 568, 28527, 6361, 5025, 613, 11470, 888, 28598, 290, 4040, 6361, 21943, 568, 513, 9135, 540, 5708, 602, 6645, 519, 1650, 540, 513, 1915, 3395, 909, 543, 1565, 827, 2933, 543, 519, 1158, 1472, 873, 269, 1452, 2984, 1419, 2263, 4798, 899, 11505, 267, 7115, 267, 2648, 267, 3961, 267, 543, 20408, 2591, 269, 1358, 948, 721, 1174, 1114, 5380, 1247, 3450, 3407, 1272, 4245, 780, 2162, 20128, 2775, 2201, 281, 7087, 966, 7860, 692, 29378, 4589, 723, 3532, 9739, 1369, 519, 4947, 6361, 21943, 9135, 269, 4256, 2984, 2992, 2189, 5389, 543, 2833, 267, 3850, 3988, 547, 1451, 827, 1585, 4529, 543, 12583, 269, 1635, 2542, 891, 6386, 267, 649, 8661, 3309, 10080, 543, 3895, 6568, 543, 1620, 1851, 1004, 780, 4131, 781, 21302, 8625, 2336, 2411, 15365, 22860, 4506, 3332, 1522, 3280, 25254, 267, 855, 1810, 1405, 5855, 22924, 781, 3274, 3168, 6251, 693, 513, 1650, 543, 23115, 856, 875, 519, 2278, 5932, 2495, 269, 1879, 6313, 4947, 6361, 21943, 8941, 267, 2015, 891, 2055, 1384, 265, 2878, 13142, 3030, 5093, 5808, 616, 519, 1292, 3197, 286, 1548, 798, 789, 1451, 2429, 741, 15322, 888, 265, 2878, 5522, 582, 5093, 1548, 2621, 3337, 519, 3197, 262, 2729, 286, 3657, 972, 1022, 7432, 2798, 888, 265, 2878, 30787, 5093, 7316, 543, 950, 1281, 519, 1650, 1491, 1747, 286, 6496, 519, 4259, 3310, 519, 3197, 262, 1646, 888, 265, 2878, 763, 6996, 1299, 29062, 5093, 1548, 6835, 610, 4245, 10836, 286, 2052, 596, 1265, 6698, 630, 15953, 338, 8204, 8273, 2093, 264, 602, 3180, 2027, 4644, 2496, 2690, 1383, 267, 1577, 781, 1413, 693, 834, 763, 21960, 577, 321, 1046, 5600, 2437, 513, 4190, 4947, 6361, 21943, 3209, 676, 7200, 1047, 661, 6113, 5341, 269, 901, 1650, 5205, 15345, 752, 28569, 267, 513, 3303, 1243, 744, 329, 756, 933, 8004, 267, 1282, 1200, 6689, 538, 519, 4571, 268, 5197, 271, 338, 269, 10801, 519, 9661, 267, 1352, 8188, 14488, 543, 25395, 1200, 9342, 609, 1489, 689, 1920, 543, 2146, 780, 2162, 5678, 267, 21887, 267, 1299, 12856, 692, 28324, 3007, 547, 875, 5830, 946, 1913, 267, 16752, 267, 543, 3919, 547, 4739, 741, 2984, 269, 1280, 3236, 267, 7747, 875, 5188, 2337, 7866, 3197, 262, 14789, 543, 3347, 269, 3958, 267, 5469, 10593, 538, 1448, 540, 2070, 1107, 3006, 267, 2789, 5380, 10802, 938, 1620, 540, 519, 3197, 262, 2208, 269, 14936, 267, 1589, 827, 875, 519, 2278, 2855, 5190, 11271, 610, 10207, 282, 13289, 1063, 6810, 949, 5815, 1713, 8090, 538, 519, 16502, 781, 4720, 780, 3086, 1411, 8347, 2336, 1366, 19030, 303, 1157, 835, 540, 707, 5172, 2835, 10023, 513, 32249, 1915, 269, 15233, 519, 10763, 2553, 5941, 1934, 547, 3605, 1007, 6106, 540, 2495, 269, 9523, 707, 4030, 609, 2828, 610, 15032, 267, 26354, 7391, 827, 707, 4681, 256, 5457, 267, 1169, 5467, 6770, 2189, 12496, 267, 1818, 5717, 1256, 811, 10578, 269, 8414, 7421, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5970, 513, 1893, 4274, 2087, 707, 1603, 454, 305, 684, 513, 1863, 17096, 2638, 538, 476, 1015, 3764, 267, 5352, 4977, 14327, 585, 1863, 563, 268, 11310, 12476, 454, 268, 1215, 547, 2328, 513, 5339, 2079, 1557, 1923, 589, 1900, 8386, 9912, 3391, 454, 1692, 547, 3503, 513, 16520, 5811, 4828, 1923, 589, 5153, 8386, 28157, 6651, 454, 13775, 593, 5130, 476, 1789, 267, 476, 1708, 271, 676, 10793, 595, 4954, 7615, 1547, 4860, 2213, 593, 4864, 476, 1691, 267, 476, 1708, 274, 563, 24145, 776, 2079, 1797, 5702, 4974, 513, 1257, 267, 16208, 922, 10096, 267, 543, 3695, 1946, 519, 2278, 1500, 1978, 5079, 269, 898, 666, 581, 4294, 547, 9089, 267, 2110, 2984, 267, 4249, 267, 9954, 267, 610, 1022, 824, 1106, 540, 5339, 1603, 563, 288, 5339, 2079, 1557, 568, 711, 513, 17720, 2079, 2073, 6862, 568, 621, 1175, 513, 5758, 540, 519, 4729, 610, 513, 1433, 2689, 269, 5502, 267, 621, 568, 513, 1826, 540, 12819, 1557, 1141, 596, 991, 547, 5659, 2609, 971, 607, 519, 1893, 267, 5133, 267, 543, 2497, 540, 519, 1257, 267, 543, 2491, 875, 519, 2278, 3096, 5339, 3457, 547, 1711, 2360, 543, 6655, 2093, 563, 6524, 4098, 513, 5339, 2079, 1557, 267, 621, 779, 1898, 547, 5402, 1224, 519, 1257, 543, 524, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 4040, 6361, 5025, 613, 257, 607, 851, 540, 834, 11227, 1315, 7087, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 14559 ]

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

[ 12125, 1522, 723, 547, 979, 267, 855, 707, 4305, 13652, 9535, 813, 666, 2611, 952, 519, 2319, 666, 556, 26928, 621, 269, 634, 5718, 1909, 538, 513, 2528, 1689, 568, 547, 281, 4039, 550, 8393, 7903, 519, 5551, 1439, 1533, 269, 22365, 4403, 519, 1909, 540, 3401, 543, 9946, 607, 5745, 6840, 269, 3550, 6887, 1831, 1582, 268, 23457, 269, 589, 2635, 2528, 1058, 849, 581, 2312, 827, 519, 2956, 540, 519, 2095, 540, 1344, 543, 1590, 1305, 513, 3044, 585, 2792, 2511, 269, 1284, 1246, 519, 7101, 673, 15443, 528, 1935, 269, 901, 13071, 721, 581, 1463, 538, 938, 10618, 855, 538, 513, 5943, 1141, 649, 782, 1416, 827, 1142, 824, 269, 7101, 673, 15443, 528, 13071, 2043, 1397, 10100, 543, 4161, 1866, 950, 789, 1522, 6382, 2611, 14980, 269, 901, 6038, 1797, 649, 666, 782, 960, 1732, 1510, 5739, 610, 6757, 2623, 269, 1411, 4465, 1405, 1118, 513, 7202, 538, 2528, 1510, 513, 2312, 267, 7347, 267, 543, 13455, 7903, 269, 1411, 723, 547, 7753, 24880, 543, 6370, 10721, 4761, 6114, 269, 6736, 519, 7411, 267, 519, 1382, 568, 598, 5477, 602, 2528, 568, 4105, 547, 1164, 2773, 269, 10390, 1879, 1004, 2911, 827, 2528, 538, 519, 2796, 540, 8061, 302, 1186, 267, 789, 2811, 13288, 547, 4639, 5300, 781, 30462, 2528, 267, 799, 568, 1759, 593, 17755, 2958, 528, 781, 7869, 962, 13429, 269, 15439, 2322, 267, 596, 1058, 2832, 585, 513, 2312, 267, 3838, 5692, 5916, 609, 18228, 3375, 6194, 269, 2353, 2413, 3301, 6765, 2409, 3277, 547, 713, 1523, 540, 23518, 6887, 538, 1114, 2081, 269, 1284, 3277, 547, 713, 607, 2413, 9036, 2528, 267, 2943, 519, 2093, 616, 936, 476, 1911, 1296, 2025, 269, 1280, 1383, 267, 5692, 4971, 7389, 1394, 547, 519, 476, 5197, 271, 338, 267, 28636, 2473, 543, 962, 616, 6045, 538, 513, 1433, 689, 476, 3422, 271, 267, 543, 4639, 5300, 781, 1462, 1108, 540, 10721, 4529, 729, 2966, 538, 519, 476, 2735, 271, 338, 269, 1411, 3513, 1265, 2528, 568, 519, 27162, 4554, 2428, 547, 11523, 538, 8061, 302, 1186, 269, 898, 781, 15673, 532, 547, 7048, 593, 1382, 543, 7194, 547, 6961, 519, 2013, 585, 513, 30462, 2528, 269, 12846, 267, 519, 4641, 568, 602, 2686, 1689, 5673, 593, 8903, 9423, 543, 2870, 513, 8903, 5075, 540, 1018, 519, 3919, 786, 1413, 899, 1310, 519, 5912, 563, 307, 24884, 814, 1044, 513, 1641, 540, 1719, 585, 9439, 693, 2547, 585, 519, 2063, 4557, 1296, 610, 865, 267, 1256, 1354, 602, 952, 649, 1491, 883, 2272, 519, 552, 311, 339, 3153, 14691, 2853, 543, 519, 26227, 8915, 334, 269, 6736, 922, 10645, 8560, 2221, 543, 922, 13513, 540, 2298, 519, 2259, 540, 1603, 519, 1449, 1354, 2504, 3009, 568, 1869, 19514, 269, 898, 9775, 1759, 593, 519, 19995, 781, 2796, 267, 2250, 2833, 267, 543, 519, 19995, 781, 1565, 2619, 269, 1284, 1223, 14969, 2417, 593, 519, 19514, 1702, 540, 570, 24884, 4358, 689, 519, 6101, 2069, 593, 519, 1641, 267, 4061, 267, 621, 1522, 2154, 1256, 811, 5717, 827, 922, 31675, 269, 1772, 621, 2009, 547, 4001, 3927, 570, 24884, 1510, 3318, 1788, 1995, 286, 2368, 1522, 8044, 602, 621, 568, 2009, 267, 1247, 1866, 786, 2161, 519, 6587, 269, 6736, 1390, 1543, 3370, 676, 12021, 21101, 971, 607, 744, 262, 3725, 11035, 267, 3640, 339, 267, 1948, 5410, 2581, 8862, 525, 2917, 12333, 17270, 10022, 267, 7442, 816, 267, 543, 2494, 940, 519, 2259, 540, 570, 24884, 568, 1869, 513, 4161, 267, 1256, 519, 1655, 2835, 267, 519, 1655, 1806, 267, 3112, 8850, 14377, 922, 1543, 547, 519, 2189, 2042, 602, 9439, 3068, 593, 519, 3232, 4493, 269, 15576, 553, 616, 513, 1907, 602, 1522, 581, 1031, 547, 6445, 538, 713, 7934, 585, 1312, 281, 1106, 1275, 538, 1565, 570, 24884, 543, 22464, 2042, 602, 9439, 3068, 269, 28552, 609, 737, 21648, 568, 711, 513, 10682, 267, 621, 666, 581, 6956, 607, 606, 5351, 3079, 269, 634, 631, 1143, 2255, 2060, 7464, 10819, 31943, 619, 723, 6836, 1114, 4485, 547, 4835, 1125, 1449, 12454, 1646, 269, 6736, 519, 4674, 267, 519, 25314, 2255, 1063, 2866, 543, 2504, 3009, 6818, 269, 634, 3270, 1336, 538, 8026, 15576, 553, 616, 2673, 547, 3039, 2361, 3785, 269, 769, 519, 1554, 3562, 6377, 267, 621, 568, 1034, 2693, 602, 9439, 786, 6443, 513, 6960, 7615, 1788, 602, 568, 711, 602, 7874, 547, 2226, 269, 1703, 616, 2835, 602, 1445, 1152, 593, 713, 2460, 540, 1919, 267, 585, 1383, 267, 11554, 7561, 609, 9371, 3009, 676, 7812, 3171, 1430, 338, 267, 4676, 716, 1681, 281, 25947, 519, 5071, 540, 1401, 12371, 8943, 676, 9410, 674, 578, 2401, 267, 4676, 716, 1681, 547, 18963, 676, 26056, 23715, 773, 341, 20391, 267, 543, 1082, 811, 269, 634, 3270, 602, 9439, 946, 585, 15576, 553, 855, 616, 2356, 513, 25314, 2255, 609, 2504, 3009, 602, 4749, 5526, 1927, 616, 281, 13979, 547, 1449, 689, 519, 3544, 910, 950, 1058, 594, 6467, 547, 519, 1770, 286, 6431, 11962, 4494, 910, 594, 946, 606, 10758, 300, 630, 30606, 4039, 1049, 29570, 264, 610, 519, 6106, 540, 1250, 3498, 616, 6404, 1927, 1703, 616, 1114, 4485, 602, 835, 1522, 1491, 547, 2328, 3009, 267, 1018, 568, 2356, 3838, 2066, 519, 2707, 3009, 568, 519, 4480, 540, 24590, 2042, 543, 1287, 9256, 782, 519, 4773, 547, 4194, 519, 1966, 269, 2913, 781, 4685, 883, 519, 32004, 532, 543, 1018, 621, 1797, 547, 946, 621, 547, 1376, 21365, 519, 5912, 689, 15576, 553, 547, 2504, 3009, 269, 932, 6064, 532, 634, 1184, 540, 32004, 532, 4523, 1510, 835, 711, 6005, 621, 267, 855, 9439, 616, 4966, 538, 713, 4480, 269, 634, 32004, 532, 1935, 568, 4330, 676, 4804, 875, 547, 1451, 676, 22526, 18718, 2917, 543, 849, 13269, 676, 21634, 1329, 928, 19555, 753, 538, 1200, 1433, 634, 27732, 781, 11020, 269, 634, 1184, 568, 519, 1482, 607, 606, 5690, 281, 2016, 513, 1950, 1966, 267, 1018, 616, 519, 4773, 602, 17492, 519, 1966, 286, 543, 1018, 616, 519, 4773, 602, 666, 581, 8237, 286, 2060, 1142, 1900, 267, 1847, 4464, 519, 13549, 547, 1205, 519, 1966, 12193, 269, 590, 5902, 1154, 519, 1966, 568, 1271, 267, 607, 621, 3947, 4055, 585, 938, 2634, 547, 960, 1510, 20358, 532, 621, 267, 649, 798, 723, 7687, 547, 2324, 609, 1344, 269, 18391, 4481, 693, 9439, 267, 713, 568, 835, 540, 519, 4128, 602, 835, 1522, 711, 723, 519, 3003, 1062, 6189, 538, 1200, 2212, 607, 4330, 538, 1548, 24439, 589, 4279, 12229, 23910, 286, 676, 6754, 13198, 334, 9149, 267, 25138, 808, 269, 25391, 267, 543, 808, 328, 3133, 11809, 340, 269, 14171, 513, 1900, 1394, 267, 952, 649, 616, 6158, 827, 15576, 553, 267, 789, 616, 519, 1101, 1900, 540, 32004, 532, 269, 769, 713, 3942, 267, 649, 616, 5059, 630, 8117, 3908, 264, 593, 281, 6258, 1945, 1007, 630, 7945, 607, 519, 2259, 540, 1603, 4255, 1101, 264, 1744, 17369, 513, 5578, 267, 2016, 602, 570, 24884, 568, 513, 1634, 1641, 267, 835, 1522, 1616, 547, 2119, 1114, 6163, 269, 6270, 607, 281, 609, 610, 1510, 1449, 29156, 267, 513, 1007, 11265, 2511, 267, 513, 1007, 5752, 1893, 267, 3092, 269, 9453, 713, 1101, 1900, 267, 621, 1522, 581, 2352, 585, 9439, 267, 593, 519, 2816, 267, 547, 1451, 570, 24884, 267, 1451, 4816, 3268, 267, 1451, 2241, 1374, 267, 1451, 547, 1201, 18503, 267, 1451, 11265, 6163, 602, 1522, 3514, 519, 1966, 693, 1688, 267, 1451, 519, 31544, 1935, 547, 513, 1966, 267, 543, 865, 593, 269, 1703, 568, 513, 2603, 547, 1491, 883, 2272, 267, 15576, 553, 7493, 602, 2476, 267, 543, 6212, 593, 513, 2582, 4480, 602, 568, 693, 1688, 269, 1280, 1383, 267, 1491, 519, 1739, 1592, 263, 7474, 568, 711, 29882, 264, 607, 519, 1445, 1448, 281, 535, 11170, 25975, 3960, 6212, 593, 4816, 3268, 23047, 30024, 6212, 593, 519, 570, 24884, 2095, 5100, 26806, 6212, 593, 1449, 29156, 575, 843, 539, 9782, 6212, 593, 9371, 3009, 15576, 553, 616, 1934, 547, 8897, 519, 1184, 540, 1565, 519, 2553, 602, 616, 1031, 593, 519, 3232, 4493, 676, 9439, 269, 2986, 1576, 267, 713, 568, 1175, 519, 1101, 1900, 267, 519, 1101, 32004, 602, 2636, 9439, 547, 1831, 2500, 538, 741, 960, 269, 5890, 21505, 547, 13870, 8943, 25021, 689, 513, 918, 1092, 4259, 547, 513, 3318, 1788, 602, 568, 538, 2504, 568, 711, 607, 12001, 607, 621, 1522, 1413, 269, 2913, 781, 1491, 883, 2272, 6960, 7615, 3785, 267, 799, 616, 519, 1034, 2693, 5185, 1788, 676, 9439, 269, 634, 1101, 11064, 602, 568, 711, 3362, 16487, 689, 15576, 553, 568, 602, 519, 3009, 1522, 581, 11544, 1932, 1082, 9021, 538, 513, 2582, 1362, 267, 610, 602, 972, 568, 1932, 1454, 547, 1174, 540, 519, 3009, 267, 607, 621, 729, 513, 17354, 602, 2451, 519, 2754, 2907, 2854, 267, 610, 519, 29444, 540, 519, 1788, 616, 1932, 1082, 269, 17859, 540, 1018, 621, 1522, 581, 267, 519, 2591, 2040, 909, 538, 519, 3915, 269, 28582, 2590, 1394, 547, 32004, 532, 267, 519, 1101, 1900, 1934, 568, 547, 2697, 513, 2582, 1448, 602, 666, 581, 8214, 1194, 269, 901, 568, 606, 1271, 1900, 267, 607, 519, 4480, 568, 2907, 538, 2866, 269, 29760, 593, 513, 2582, 2460, 693, 513, 942, 547, 2087, 2504, 3009, 4249, 606, 1271, 1909, 269, 2913, 781, 1589, 827, 519, 1739, 9183, 281, 1284, 723, 513, 3498, 602, 729, 2919, 609, 513, 631, 31357, 630, 16347, 268, 8698, 4211, 2632, 1503, 264, 5943, 267, 855, 519, 6106, 723, 1044, 6404, 267, 972, 568, 1100, 2312, 2482, 1359, 2469, 593, 267, 16310, 602, 267, 972, 616, 1100, 4152, 538, 1747, 267, 519, 3498, 568, 5631, 7318, 998, 513, 8261, 1935, 269, 1677, 1283, 602, 267, 9439, 1616, 547, 4019, 519, 1007, 2553, 789, 4312, 4121, 547, 1118, 519, 3009, 2226, 762, 269, 1306, 649, 2907, 5941, 267, 519, 1883, 1448, 1934, 568, 547, 2697, 519, 4773, 540, 519, 11015, 1101, 269, 8347, 532, 547, 10994, 782, 519, 2042, 602, 941, 7396, 693, 2899, 1522, 1291, 547, 811, 2800, 982, 3142, 2640, 269, 2913, 781, 26246, 519, 1883, 25098, 281, 24908, 1870, 7954, 1063, 6106, 898, 568, 2352, 547, 1224, 513, 1899, 1063, 519, 6106, 267, 1419, 3056, 547, 513, 8261, 1439, 3562, 15134, 1449, 910, 952, 621, 941, 606, 16286, 267, 621, 1131, 581, 2944, 998, 2022, 267, 952, 621, 941, 513, 1357, 3498, 267, 621, 1131, 581, 2944, 17034, 519, 11422, 543, 10188, 607, 519, 1439, 3593, 1131, 798, 269, 1703, 568, 1100, 12747, 4152, 538, 1747, 31943, 619, 1616, 547, 4019, 1007, 2553, 4121, 1323, 1383, 540, 606, 1935, 1223, 581, 7598, 513, 1007, 5690, 602, 15824, 5488, 10163, 4450, 519, 3009, 547, 3514, 606, 11265, 2511, 1403, 649, 1589, 827, 873, 835, 676, 835, 267, 649, 1376, 547, 1294, 513, 9756, 609, 1808, 15576, 553, 649, 1522, 1616, 547, 1685, 281, 24908, 6355, 20603, 9737, 700, 16558, 717, 843, 539, 9782, 568, 513, 1434, 11134, 585, 602, 267, 7311, 519, 4480, 540, 11344, 4487, 267, 2337, 547, 2087, 519, 4835, 2497, 540, 519, 3009, 269, 1703, 1772, 1100, 14825, 730, 13281, 538, 9255, 4495, 1586, 267, 717, 843, 539, 9782, 2636, 519, 5137, 540, 1007, 1449, 2665, 602, 798, 711, 6818, 267, 607, 519, 3105, 1900, 267, 1031, 519, 11344, 4487, 267, 1631, 519, 3009, 1058, 1450, 9439, 547, 2328, 1007, 4255, 602, 666, 3009, 1808, 6316, 2665, 602, 14201, 1405, 1354, 269, 31943, 619, 21763, 547, 15233, 1715, 9828, 3231, 2740, 2311, 713, 1448, 538, 942, 267, 519, 1079, 3105, 3268, 616, 538, 1747, 2907, 267, 609, 602, 267, 519, 3009, 1058, 581, 1449, 762, 2614, 602, 519, 2504, 3009, 568, 711, 3810, 13745, 609, 519, 1449, 3009, 910, 901, 1058, 581, 513, 1072, 2638, 267, 1354, 7598, 519, 1007, 2553, 269, 2052, 596, 2626, 519, 2243, 281, 1403, 594, 1201, 18503, 267, 519, 4255, 1810, 1405, 1689, 543, 594, 723, 519, 6015, 547, 5305, 286, 1403, 519, 2626, 568, 9811, 267, 1287, 7311, 1007, 2553, 4121, 1058, 581, 798, 762, 563, 29155, 4802, 8605, 4658, 717, 3387, 295, 454, 25413, 2264, 4886, 15440, 267, 0, 13563, 3214, 723, 513, 3152, 4960, 982, 2479, 1354, 540, 3384, 930, 1106, 540, 9659, 269, 3194, 676, 519, 15509, 267, 3370, 676, 595, 7034, 267, 6920, 602, 5176, 476, 272, 538, 476, 1015, 2475, 1453, 1020, 930, 1106, 540, 11095, 9659, 267, 543, 513, 1390, 1082, 811, 723, 2168 ]

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

[ 476, 1911, 326, 454, 268, 12414, 760, 3940, 829, 476, 1911, 326, 454, 268, 4826, 322, 816, 3170, 829, 476, 1911, 326, 454, 268, 1215, 1082, 8477, 1281, 13617, 539, 21167, 723, 888, 268, 2836, 1559, 538, 513, 3368, 540, 1990, 1075, 577, 7236, 454, 268, 2836, 1559, 538, 2898, 1990, 1075, 577, 7236, 454, 268, 2836, 1559, 585, 835, 267, 1079, 610, 811, 1990, 1075, 577, 7236, 454, 268, 1215, 1454, 3940, 538, 30646, 888, 268, 12397, 5288, 7377, 25468, 6484, 454, 268, 12397, 5288, 21690, 25468, 8477, 454, 268, 21690, 8000, 6737, 5288, 4072, 564, 8000, 6737, 3940, 454, 268, 21690, 8000, 6737, 5288, 3600, 1941, 8293, 1662, 4006, 454, 268, 21690, 8000, 6737, 5288, 808, 545, 4821, 8324, 454, 268, 21690, 8000, 6737, 5288, 31089, 629, 15676, 8192, 6775, 454, 268, 21690, 8000, 6737, 5288, 962, 1075, 320, 6171, 1756, 595, 454, 268, 21690, 8000, 6737, 5288, 17926, 8000, 10633, 4012, 1145, 1756, 454, 268, 21690, 8000, 6737, 5288, 4414, 8000, 6737, 11379, 0, 25402, 6737, 8392, 5328, 5544, 3644, 630, 307, 5425, 309, 264, 568, 606, 9647, 582, 2214, 21552, 602, 3123, 513, 14042, 2068, 538, 16603, 630, 299, 344, 19817, 619, 6625, 1965, 1529, 550, 636, 16019, 1040, 307, 5425, 309, 7153, 5063, 538, 3162, 8419, 269, 5525, 941, 5342, 538, 1614, 5010, 16603, 4610, 538, 24543, 5937, 1228, 6019, 267, 8419, 1282, 519, 10448, 21212, 12405, 689, 5239, 547, 4989, 538, 476, 1001, 276, 998, 476, 1001, 278, 269, 3962, 1032, 267, 1239, 941, 6394, 693, 476, 274, 267, 476, 277, 267, 543, 476, 280, 530, 330, 1310, 13003, 532, 693, 1585, 9883, 689, 519, 8728, 540, 1142, 4610, 269, 9122, 593, 476, 274, 29757, 2698, 5439, 267, 1614, 2249, 540, 555, 686, 1186, 941, 4122, 4767, 5283, 517, 555, 686, 1186, 267, 774, 686, 1186, 13869, 328, 10127, 5500, 630, 7830, 269, 1626, 13008, 476, 271, 269, 8064, 15992, 1373, 519, 1034, 10731, 2249, 4553, 676, 1455, 19806, 558, 555, 686, 1186, 267, 15284, 328, 7578, 11634, 738, 2763, 328, 8347, 321, 558, 630, 2641, 269, 4649, 13008, 476, 271, 269, 5780, 15992, 543, 7262, 8768, 555, 686, 1186, 267, 15284, 328, 7578, 1624, 1211, 23653, 630, 303, 1120, 663, 324, 264, 630, 1626, 269, 2918, 13008, 476, 271, 269, 8618, 22103, 2806, 1495, 766, 540, 782, 555, 686, 1186, 543, 570, 5425, 309, 7783, 2371, 729, 1164, 693, 519, 6316, 540, 513, 16603, 2361, 476, 274, 530, 330, 1310, 13003, 532, 609, 3648, 7864, 7783, 2371, 4724, 519, 4099, 540, 519, 2361, 7868, 3892, 3270, 540, 555, 686, 1186, 543, 570, 5425, 309, 538, 1585, 4610, 941, 6140, 2834, 543, 10015, 730, 2066, 519, 10386, 7389, 1282, 519, 1353, 1974, 269, 2806, 1495, 766, 540, 570, 5425, 309, 31916, 2371, 543, 555, 686, 1186, 2249, 729, 1164, 693, 519, 6316, 540, 519, 2361, 543, 2799, 936, 942, 269, 634, 1297, 540, 5439, 2838, 547, 8308, 3313, 2551, 5860, 540, 555, 686, 1186, 729, 7229, 676, 1210, 1614, 8856, 2157, 630, 271, 269, 1015, 267, 476, 271, 269, 736, 267, 476, 271, 269, 1789, 264, 693, 1614, 24441, 24186, 540, 555, 686, 1186, 630, 271, 269, 1015, 267, 476, 271, 269, 736, 267, 543, 476, 271, 269, 2412, 829, 3732, 1040, 1607, 1344, 786, 1683, 4808, 547, 25210, 267, 7693, 4027, 10986, 267, 6694, 1085, 8083, 267, 543, 3173, 547, 1020, 513, 4264, 555, 686, 1186, 543, 547, 4944, 21552, 2359, 1982, 563, 2791, 723, 16761, 513, 3684, 8144, 540, 5697, 1543, 689, 938, 12240, 269, 901, 10342, 568, 3177, 9003, 585, 707, 13418, 543, 568, 538, 1100, 1259, 5497, 547, 5372, 1480, 8144, 269, 26681, 12713, 3080, 6862, 519, 5411, 543, 21101, 540, 519, 1543, 1118, 267, 543, 789, 12799, 771, 8010, 267, 1022, 2769, 610, 22466, 11269, 610, 15549, 625, 540, 1022, 2186, 267, 1519, 267, 1510, 20159, 267, 11269, 543, 15549, 625, 607, 547, 519, 10342, 540, 519, 8144, 4183, 610, 519, 6111, 610, 1264, 28467, 540, 519, 16627, 563, 9558, 331, 725, 616, 711, 17477, 538, 938, 1062, 269, 2659, 946, 540, 713, 4183, 543, 519, 16627, 568, 1641, 547, 782, 946, 9993, 8659, 538, 519, 16301, 543, 17148, 540, 2422, 540, 519, 12713, 3080, 3896, 563, 14157, 269, 476, 5392, 3040, 3143, 269, 476, 272, 0, 5649, 519, 2376, 2630, 543, 4585, 519, 3381, 269, 634, 2376, 568, 2854, 538, 476, 4198, 273, 267, 519, 1032, 5518, 16452, 32457, 9896, 606, 10324, 1931, 267, 2560, 29715, 532, 968, 553, 6385, 607, 2009, 892, 513, 3609, 9591, 968, 3225, 1275, 540, 2126, 543, 4316, 585, 782, 7606, 538, 519, 11439, 2533, 1510, 2543, 547, 5198, 267, 2681, 267, 4984, 610, 3084, 5169, 1848, 4179, 2517, 344, 719, 340, 269, 2041, 270, 309, 326, 341, 271, 332, 313, 6224, 303, 3464, 4179, 2517, 2908, 10517, 3016, 2593, 270, 14835, 270, 4281, 275, 6349, 8276, 26090, 10784, 1122, 1674, 2275, 2753, 8573, 2074, 3146, 1636, 1284, 666, 1294, 689, 938, 13220, 543, 5717, 602, 1004, 540, 2681, 723, 6039, 938, 2197, 609, 10100, 543, 11348, 5103, 22303, 269, 1548, 568, 519, 1459, 1533, 540, 1004, 540, 2681, 7674, 538, 519, 4108, 286, 4855, 693, 2547, 835, 610, 1079, 4930, 543, 4766, 519, 1459, 1533, 610, 2152, 267, 596, 949, 4584, 835, 540, 519, 2665, 538, 519, 1257, 547, 5635, 621, 547, 543, 666, 1445, 593, 513, 1808, 5198, 269, 1548, 568, 707, 5114, 547, 602, 286, 2422, 824, 1382, 547, 2911, 827, 519, 2152, 543, 2097, 547, 513, 3932, 563, 2710, 596, 991, 1164, 7779, 11426, 4828, 5675, 7896, 286, 0, 3682, 6883, 519, 12213, 7256, 20767, 2939, 16680, 281, 7046, 7909, 3778, 543, 645, 8438, 12472, 454, 763, 1646, 540, 7286, 29370, 1601, 559, 1979, 739, 7806, 19973, 6719, 606, 2038, 267, 2629, 1900, 585, 12779, 334, 4117, 2762, 1317, 540, 519, 991, 585, 2518, 14404, 15572, 545, 9756, 269, 6715, 13577, 14404, 19973, 8507, 602, 1644, 2789, 29370, 1601, 559, 9696, 267, 11275, 739, 7806, 19973, 543, 2447, 739, 7806, 580, 777, 1506, 585, 519, 2063, 9625, 1911, 544, 903, 267, 607, 1134, 607, 3246, 513, 6325, 267, 1164, 22822, 942, 4336, 563, 763, 2620, 5498, 320, 12779, 2632, 1670, 13055, 814, 3366, 547, 513, 3984, 540, 2101, 23484, 2509, 513, 3376, 1620, 540, 519, 3047, 607, 606, 9687, 1062, 269, 1452, 1331, 281, 513, 13497, 4824, 1620, 540, 519, 1979, 5328, 543, 12779, 14535, 16652, 4493, 585, 519, 15523, 540, 519, 595, 523, 32223, 543, 519, 10137, 540, 713, 1702, 547, 519, 4587, 2594, 282, 519, 6602, 602, 519, 5836, 693, 782, 17909, 568, 711, 2241, 543, 17946, 4474, 855, 568, 513, 2565, 543, 29858, 4657, 851, 540, 519, 2518, 1062, 282, 4824, 1620, 540, 519, 2470, 540, 519, 28506, 2023, 545, 7706, 267, 922, 4720, 267, 7607, 267, 12779, 334, 1815, 1108, 543, 875, 713, 7706, 814, 6766, 519, 5836, 11159, 2594, 282, 11050, 946, 540, 28506, 2023, 545, 29370, 1601, 2812, 547, 7447, 2250, 5210, 543, 824, 2175, 540, 519, 2627, 5836, 282, 543, 7418, 2509, 1620, 540, 12105, 3157, 543, 3069, 269, 0, 2793, 306, 910, 6348, 785, 4246, 13985, 1738, 15661, 454, 22416, 18474, 267, 808, 269, 476, 1001, 278, 269, 4841, 3605, 1007, 12362, 2249, 538, 3397, 622, 7345, 269, 8235, 6019, 5240, 20048, 1834, 269, 5565, 4498, 26092, 267, 30400, 269, 5291, 2517, 4178, 7456, 322, 18080, 11388, 1834, 2593, 30406, 14121, 6851, 3620, 16808, 832, 270, 32542, 3583, 276, 272, 24713, 757, 1673, 4593, 1478, 20642, 29554, 6741, 2886, 268, 698, 622, 1532, 599, 269, 23095, 593, 476, 5400, 270, 1839, 270, 1001, 278, 269, 21700, 593, 476, 5400, 270, 1839, 270, 1001, 278, 563, 27270, 7089, 281, 476, 19054, 5038, 454, 12041, 281, 5689, 18474, 267, 808, 563, 14630, 630, 20204, 2567, 476, 1001, 278, 454, 17138, 281, 10743, 3605, 1007, 12362, 2249, 538, 3397, 622, 7345, 454, 21812, 281, 299, 820, 6019, 5240, 20048, 1834, 454, 21812, 19715, 281, 10521, 4498, 26092, 267, 30400, 454, 16966, 539, 593, 281, 476, 5400, 270, 1839, 270, 1001, 278, 454, 32046, 593, 281, 476, 5400, 270, 1839, 270, 1001, 278, 454, 21292, 281, 8000, 600, 690, 17662, 5743, 16476, 267, 1225, 569, 6122, 2378, 11432, 15634, 454, 22025, 600, 690, 17662, 5743, 16476, 30400, 910, 3397, 622, 7345, 267, 2282, 5565, 4498, 26092, 454, 763, 1239, 6719, 593, 713, 3135, 4268, 538, 6111, 267, 4336, 267, 1264, 28467, 267, 6708, 540, 3795, 543, 5169, 269, 898, 568, 519, 3593, 781, 5539, 547, 946, 891, 1239, 5812, 609, 741, 5497, 3483, 543, 1369, 7150, 7687, 269, 1284, 3810, 4363, 17265, 27034, 6119, 1991, 547, 16208, 891, 1239, 563, 290, 2787, 1344, 281, 772, 2529, 269, 24959, 11752, 269, 1547, 6348, 785, 4246, 13985, 1738, 15661, 18482, 269, 28150, 525, 6807, 267, 8419, 269, 21700, 1496, 1321, 270, 279, 270, 1708, 273, 14073, 23086, 721, 952, 596, 616, 1210, 1239, 689, 713, 3135, 585, 513, 8313, 547, 1118, 2386, 519, 1239, 616, 1373, 1031, 14013, 543, 585, 1761, 1071, 22052, 4243, 1222, 952, 11562, 5896, 563, 2690, 2489, 1344, 543, 2055, 827, 519, 6538, 267, 3346, 24380, 2917, 12253, 269, 1280, 2042, 543, 2930, 2152, 267, 3346, 15623, 3026, 12291, 269, 0, 1607, 1362, 568, 1100, 3476, 2139, 267, 855, 649, 1336, 1945, 2147, 2336, 276, 269, 271, 630, 275, 264, 5788, 12698, 476, 1724, 268, 1240, 454, 25811, 1359, 26386, 910, 20509, 338, 267, 17086, 1299, 10049, 910, 13241, 693, 4518, 454, 276, 269, 271, 630, 7830, 264, 5788, 12698, 476, 279, 268, 1321, 454, 22129, 28315, 256, 630, 288, 2471, 476, 279, 268, 1321, 994, 276, 269, 271, 630, 272, 264, 5788, 12698, 476, 276, 268, 279, 454, 28012, 19296, 281, 28315, 13241, 12694, 454, 276, 269, 271, 630, 275, 264, 5788, 12698, 476, 1321, 268, 1704, 454, 27154, 10017, 281, 11879, 15154, 454, 276, 269, 271, 630, 10463, 264, 5788, 12698, 476, 274, 268, 277, 454, 763, 3163, 6997, 281, 24732, 593, 3163, 11833, 2336, 276, 269, 271, 630, 2420, 264, 5788, 12698, 476, 274, 268, 277, 454, 302, 4117, 24601, 2060, 15516, 269, 4911, 773, 256, 630, 302, 32054, 994, 16631, 1299, 7186, 454, 307, 5875, 10358, 543, 808, 18804, 1975, 11107, 269, 2913, 779, 6258, 2353, 6168, 21220, 13135, 19966, 1013, 1749, 2336, 1103, 713, 835, 942, 1362, 649, 786, 1451, 782, 827, 938, 476, 279, 682, 13949, 2828, 4534, 20151, 256, 1284, 786, 1445, 593, 519, 21792, 17259, 17178, 543, 519, 4552, 344, 512, 5875, 3121, 563, 3891, 21355, 10557, 4591, 869, 599, 454, 4375, 2698, 8039, 585, 713, 4116, 454, 1704, 8039, 585, 713, 1362, 454, 4467, 921, 1540, 676, 476, 5392, 6267, 454, 2467, 616, 1100, 14232, 5049, 563, 3598, 2996, 829, 1362, 454, 1692, 1281, 513, 834, 3080, 6874, 830, 257, 1362, 960, 888, 9288, 1115, 2899, 693, 513, 16516, 942, 454, 299, 633, 3381, 10004, 267, 6592, 543, 16913, 585, 3106, 543, 2298, 454, 15124, 585, 3695, 1007, 4690, 543, 1114, 6163, 540, 3610, 454, 1692, 4934, 25217, 3718, 454, 2467, 616, 1100, 1930, 9634, 585, 713, 1362, 563, 2791, 666, 7662, 1776, 942, 610, 20801, 1524, 547, 1265, 811, 5049, 899, 713, 563, 2171, 786, 1451, 930, 1187, 5013, 543, 2911, 827, 1018, 891, 27442, 1013, 1749, 2732, 543, 7226, 1413, 899, 269, 901, 1362, 568, 5078, 585, 17178, 18798, 267, 543, 1256, 1346, 602, 949, 7985, 689, 513, 3787, 540, 27442, 1013, 22785, 256, 22067, 4712, 547, 2671, 707, 2123, 2833, 267, 543, 7119, 538, 513, 2243, 543, 2626, 4901, 267, 1247, 649, 2263, 1946, 891, 7068, 1404, 606, 1271, 1909, 538, 938, 5117, 269, 901, 1362, 786, 1331, 513, 1224, 16965, 1433, 543, 513, 3381, 10223, 17259, 20151, 543, 512, 5875, 10358, 269, 5192, 4712, 547, 1865, 2483, 10743, 786, 1451, 519, 4214, 540, 27442, 1013, 573, 269, 22996, 786, 581, 2111, 547, 10646, 1063, 513, 17178, 543, 606, 5521, 269, 4841, 786, 1451, 827, 7226, 543, 2732, 563, 296, 993, 513, 2385, 543, 513, 4116, 269, 2290, 540, 1250, 18653, 568, 3450, 2825, 2257, 543, 5726, 269, 594, 2972, 4543, 1053, 1265, 741, 2648, 540, 2470, 543, 782, 922, 11317, 734, 16838, 5216, 6122, 13949, 3283, 2336, 2412, 3764, 829, 3018, 538, 1362, 267, 543, 6148, 930, 942, 3544, 540, 1362, 563, 3891, 21355, 10557, 4591, 869, 599, 4131, 781, 5620, 8342, 543, 6258, 23985, 1715, 2336, 4375, 2698, 8039, 454, 3451, 6192, 5049, 454, 17098, 594, 6557 ]

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

[ 898, 568, 513, 1907, 547, 4308, 609, 971, 27753, 269, 898, 5161, 540, 2947, 2338, 630, 852, 267, 602, 729, 513, 9983, 267, 7012, 1405, 621, 286, 1070, 799, 616, 3833, 1114, 689, 519, 1611, 540, 707, 10471, 269, 13298, 982, 602, 267, 789, 2995, 596, 630, 893, 569, 264, 875, 519, 2338, 616, 7856, 1063, 519, 8766, 1871, 543, 519, 31062, 269, 1358, 616, 630, 5228, 10545, 547, 4102, 17107, 272, 269, 29358, 281, 634, 10545, 1297, 538, 519, 10471, 3248, 273, 269, 3689, 14415, 850, 281, 634, 1647, 540, 519, 4130, 3368, 3248, 274, 269, 2405, 1014, 281, 634, 1647, 540, 782, 519, 2418, 3248, 275, 269, 12059, 14415, 850, 281, 634, 1647, 540, 519, 3677, 3368, 282, 543, 454, 276, 269, 26228, 281, 634, 4102, 1297, 538, 519, 10471, 780, 2690, 3236, 267, 519, 2947, 1297, 5758, 593, 519, 7194, 689, 519, 1657, 1383, 1131, 2995, 596, 602, 972, 616, 1152, 513, 1906, 1004, 602, 2097, 2673, 547, 519, 31062, 14057, 540, 1269, 1789, 267, 1822, 267, 855, 7899, 540, 5520, 1818, 259, 272, 267, 4335, 780, 763, 3579, 3364, 568, 602, 972, 781, 849, 513, 8799, 1259, 547, 14650, 519, 476, 276, 1297, 5758, 281, 519, 865, 10777, 4216, 543, 31953, 518, 4729, 269, 744, 9536, 569, 2614, 267, 621, 814, 4986, 547, 798, 609, 513, 3032, 781, 31953, 619, 269, 2913, 781, 7914, 547, 519, 1985, 3296, 543, 1294, 1018, 621, 781, 782, 827, 780, 6930, 498, 492, 12017, 787, 585, 811, 1702, 286, 2107, 711, 2386, 827, 1022, 540, 519, 18765, 649, 4312, 859, 12097, 286, 3371, 616, 930, 15345, 14269, 2645, 602, 786, 948, 596, 1384, 1012, 13340, 543, 31953, 518, 4729, 6045, 692, 4131, 781, 2899, 1586, 1353, 519, 1383, 689, 519, 1657, 3296, 281, 519, 23269, 538, 513, 2754, 5356, 596, 513, 2816, 269, 17166, 602, 596, 11214, 3893, 707, 3946, 593, 519, 2947, 1297, 5758, 7194, 540, 891, 2418, 538, 519, 1106, 540, 513, 4216, 543, 31953, 518, 4729, 1384, 10214, 1498, 649, 1810, 1405, 723, 513, 4336, 593, 519, 8880, 7852, 267, 649, 666, 1869, 1205, 513, 2603, 540, 3730, 1344, 689, 519, 4605, 269, 1809, 1101, 267, 1577, 781, 2491, 782, 519, 2609, 540, 519, 4216, 543, 31953, 518, 4729, 780, 20058, 267, 1577, 781, 1294, 875, 547, 1265, 519, 476, 276, 1297, 5758, 593, 713, 4729, 269, 769, 1249, 267, 713, 7948, 1405, 581, 12863, 281, 519, 2947, 2418, 630, 5228, 10545, 547, 4102, 267, 607, 2016, 538, 519, 1657, 3296, 264, 616, 6537, 607, 519, 7299, 3515, 593, 519, 4729, 630, 5228, 2451, 547, 1318, 1070, 1775, 4318, 1421, 692, 1892, 634, 5934, 568, 519, 2451, 1439, 540, 519, 2451, 8880, 1899, 630, 3369, 7416, 518, 11850, 1892, 634, 1101, 14415, 850, 267, 519, 11667, 267, 543, 519, 3791, 14415, 850, 616, 519, 1614, 15654, 3515, 540, 519, 13551, 630, 7901, 2567, 922, 2451, 2427, 267, 519, 1899, 998, 519, 1647, 267, 543, 519, 1318, 2427, 282, 543, 454, 1892, 634, 5021, 568, 519, 1318, 1439, 540, 519, 1318, 8880, 1899, 630, 3369, 7416, 518, 6393, 11997, 267, 1256, 1510, 519, 2338, 602, 5330, 547, 891, 3515, 267, 649, 666, 7747, 3833, 513, 1906, 1919, 1934, 780, 272, 269, 634, 5021, 1871, 568, 1454, 3677, 982, 1034, 540, 519, 2418, 269, 901, 1797, 602, 519, 16628, 2306, 513, 2603, 811, 982, 519, 3328, 9441, 563, 273, 269, 4634, 1498, 519, 8766, 1297, 568, 930, 3845, 2476, 689, 519, 11667, 267, 972, 666, 1405, 581, 1932, 1082, 1004, 15980, 602, 2179, 269, 2991, 782, 267, 689, 972, 547, 519, 1101, 14415, 850, 267, 649, 2099, 1152, 513, 10116, 540, 782, 519, 2418, 269, 901, 2982, 602, 4352, 519, 4358, 14057, 949, 581, 1970, 267, 3478, 513, 6318, 4667, 3810, 21483, 563, 274, 269, 634, 4216, 4564, 2418, 1063, 519, 1101, 543, 519, 3791, 14415, 850, 267, 799, 5330, 547, 3368, 540, 519, 13366, 269, 901, 3947, 513, 11315, 2856, 540, 1141, 519, 3328, 14057, 6013, 630, 16341, 3602, 1472, 519, 4216, 264, 543, 875, 2484, 621, 568, 689, 519, 5934, 630, 1492, 4358, 14057, 6393, 8855, 267, 2705, 267, 602, 519, 476, 276, 1297, 5758, 538, 7194, 2488, 1152, 513, 2489, 2856, 540, 707, 10471, 267, 865, 713, 1239, 2079, 568, 711, 607, 3169, 607, 649, 9364, 3006, 6999, 269, 12846, 267, 1631, 602, 649, 723, 519, 4216, 543, 31953, 518, 4729, 6045, 267, 649, 666, 1118, 1434, 946, 540, 713, 1344, 267, 2705, 11315, 621, 568, 780, 2171, 4312, 2938, 835, 2427, 540, 519, 1966, 267, 1577, 781, 1631, 2638, 856, 519, 824, 835, 269, 898, 781, 1164, 942, 649, 1294, 875, 547, 1265, 519, 476, 276, 1297, 5758, 540, 606, 17062, 10471, 780, 2252, 596, 1616, 547, 3605, 811, 267, 649, 723, 513, 6131, 4216, 4729, 9498, 2439, 1012, 1215, 547, 1265, 519, 476, 276, 1297, 5758, 2496, 306, 599, 602, 596, 2811, 2016, 513, 5311, 540, 2338, 267, 513, 8975, 479, 267, 513, 8975, 480, 267, 513, 8975, 481, 267, 24222, 606, 267, 543, 267, 585, 16134, 267, 8263, 602, 789, 616, 10288, 689, 519, 10545, 547, 519, 4102, 630, 1278, 3772, 267, 649, 9364, 723, 547, 1931, 873, 1354, 3001, 547, 519, 1985, 1900, 6393, 2171, 2253, 519, 1184, 540, 875, 547, 1265, 519, 476, 276, 1297, 5758, 540, 938, 5311, 689, 519, 14724, 540, 519, 2947, 2418, 1384, 2381, 3065, 815, 513, 8975, 479, 10484, 10946, 3065, 815, 606, 780, 288, 16994, 3750, 786, 7747, 602, 1934, 621, 568, 2629, 602, 938, 5311, 568, 10288, 269, 1403, 621, 14201, 1405, 267, 519, 17523, 476, 272, 543, 562, 1223, 581, 4636, 780, 9202, 267, 649, 1265, 519, 11667, 269, 1635, 4214, 267, 621, 568, 519, 834, 332, 1497, 257, 1871, 540, 938, 5311, 269, 901, 1797, 602, 952, 267, 585, 3236, 267, 649, 723, 5722, 2338, 630, 328, 4318, 1421, 562, 815, 476, 278, 1070, 1287, 519, 11667, 786, 581, 3160, 547, 513, 8975, 482, 1317, 713, 7127, 814, 1614, 2609, 547, 519, 2451, 630, 20791, 518, 264, 543, 1614, 2609, 547, 519, 1318, 630, 331, 24147, 6393, 257, 3719, 1018, 952, 562, 568, 1256, 286, 1703, 568, 1100, 1647, 267, 1287, 267, 568, 972, 8119, 769, 602, 2013, 649, 723, 547, 1711, 519, 1647, 6000, 281, 649, 1491, 519, 1079, 2338, 602, 616, 14191, 547, 519, 4099, 630, 324, 3052, 1421, 585, 562, 815, 476, 279, 267, 789, 1131, 581, 513, 8975, 482, 267, 543, 513, 8975, 483, 264, 543, 1491, 741, 3328, 267, 1775, 4318, 1421, 2040, 873, 543, 7941, 519, 1267, 676, 1079, 630, 1721, 562, 815, 476, 279, 267, 621, 1131, 581, 11667, 815, 630, 320, 8975, 482, 1341, 513, 8975, 483, 264, 1315, 476, 273, 6393, 3086, 602, 649, 4312, 6045, 875, 547, 1265, 519, 11667, 267, 621, 781, 15864, 547, 5581, 519, 1101, 543, 3791, 14415, 3796, 899, 713, 281, 789, 616, 519, 1199, 2103, 540, 519, 1101, 543, 519, 2034, 3368, 540, 782, 519, 13366, 267, 6606, 269, 8074, 602, 519, 2012, 14415, 850, 2501, 689, 519, 1249, 602, 789, 5581, 519, 1439, 540, 519, 1101, 10116, 543, 519, 4098, 540, 519, 2063, 10116, 540, 13366, 267, 6606, 269, 4982, 2526, 1836, 267, 649, 666, 2161, 602, 476, 1839, 260, 630, 320, 10116, 264, 540, 782, 2418, 616, 2630, 519, 1101, 14415, 850, 543, 602, 476, 4037, 260, 630, 22764, 20453, 264, 616, 2630, 519, 3791, 14415, 850, 269, 901, 267, 538, 2490, 267, 1797, 602, 789, 5330, 547, 519, 476, 1839, 628, 543, 519, 476, 4037, 628, 30878, 540, 519, 10471, 780, 2690, 3236, 267, 952, 562, 815, 476, 279, 267, 1287, 519, 1101, 14415, 850, 568, 519, 11667, 540, 13366, 513, 8975, 479, 267, 513, 8975, 480, 267, 513, 8975, 481, 267, 513, 8975, 482, 267, 543, 519, 3791, 14415, 850, 568, 602, 540, 13366, 513, 8975, 483, 267, 513, 8975, 484, 267, 513, 8975, 485, 267, 513, 8975, 486, 269, 1717, 267, 952, 562, 568, 9642, 267, 2161, 267, 562, 815, 476, 278, 267, 1287, 789, 616, 519, 1199, 2103, 540, 513, 8975, 479, 267, 513, 8975, 480, 267, 513, 8975, 481, 267, 513, 8975, 482, 543, 540, 513, 8975, 482, 267, 513, 8975, 483, 267, 513, 8975, 484, 267, 513, 8975, 485, 267, 6606, 630, 328, 4318, 1421, 519, 1647, 1297, 568, 7368, 538, 1312, 9696, 6393, 3383, 1018, 568, 513, 476, 276, 1297, 5758, 286, 898, 568, 3274, 519, 1305, 540, 891, 2947, 2338, 1384, 272, 269, 29358, 3248, 273, 269, 3689, 14415, 850, 3248, 274, 269, 2405, 1014, 3248, 275, 269, 12059, 14415, 850, 282, 543, 454, 276, 269, 26228, 780, 303, 515, 342, 267, 513, 2603, 540, 942, 814, 5293, 2094, 649, 3459, 2542, 998, 782, 713, 3069, 269, 898, 9327, 1405, 10413, 547, 1294, 930, 25948, 1383, 267, 1131, 621, 286, 769, 513, 2034, 267, 649, 3513, 798, 1175, 602, 543, 6368, 1294, 519, 476, 276, 1297, 5758, 9498, 538, 2962, 2439, 1012, 7151, 281, 1210, 519, 476, 276, 1297, 5758, 9498, 692, 306, 599, 602, 596, 2811, 513, 1164, 1153, 4116, 543, 602, 596, 2811, 16287, 513, 2487, 1449, 596, 5795, 707, 1053, 269, 1411, 2811, 711, 1932, 2386, 952, 596, 1500, 621, 1932, 2653, 610, 1932, 2352, 269, 2913, 781, 5659, 519, 2164, 1210, 938, 476, 276, 1297, 5758, 9498, 547, 1265, 856, 267, 4927, 649, 2496, 763, 1449, 729, 856, 540, 476, 2004, 2798, 267, 543, 519, 2164, 616, 1384, 3953, 267, 476, 2641, 267, 476, 4343, 267, 476, 1321, 267, 476, 4510, 267, 476, 5655, 267, 476, 4391, 267, 476, 3607, 267, 476, 2641, 267, 476, 280, 267, 476, 2412, 267, 476, 3451, 267, 476, 2420, 267, 476, 1839, 267, 476, 2767, 267, 476, 3066, 267, 476, 1789, 267, 476, 4366, 267, 476, 866, 267, 476, 1704, 267, 476, 1789, 267, 476, 2420, 267, 476, 3393, 267, 476, 5655, 780, 2467, 616, 8938, 21144, 4255, 267, 543, 693, 1101, 16145, 267, 621, 781, 1360, 2352, 547, 1294, 952, 267, 3622, 6340, 267, 621, 4682, 1134, 610, 711, 269, 18641, 267, 519, 476, 276, 5991, 3784, 5758, 9498, 786, 2285, 721, 930, 5813, 883, 519, 2626, 267, 865, 1577, 781, 1294, 1018, 649, 1205, 780, 5472, 649, 991, 547, 798, 568, 3403, 519, 13366, 835, 676, 835, 269, 27297, 602, 950, 649, 1930, 519, 476, 276, 5991, 3784, 5758, 9498, 267, 649, 1294, 1152, 5216, 4610, 1141, 649, 666, 3403, 2338, 269, 1717, 267, 2899, 649, 6445, 891, 538, 267, 1007, 3283, 786, 2408, 267, 543, 267, 782, 538, 782, 267, 519, 9498, 2636, 909, 547, 13977, 2418, 780, 2171, 2328, 938, 2338, 538, 519, 4610, 6825, 607, 1948, 272, 909, 547, 1948, 2190, 269, 27297, 875, 513, 9864, 2626, 568, 2907, 3254, 950, 649, 3403, 519, 2034, 1871, 543, 875, 621, 2242, 609, 1169, 1297, 649, 2285, 269, 4746, 267, 4063, 875, 938, 13366, 616, 711, 10288, 689, 10545, 547, 4102, 269, 634, 9498, 1281, 519, 19280, 585, 721, 543, 1256, 3947, 721, 519, 22619, 1221, 5311, 896, 519, 4756, 4610, 780, 5629, 649, 3403, 519, 2063, 1297, 267, 649, 3513, 1294, 519, 2947, 5991, 3784, 5758, 540, 938, 7194, 1966, 269, 6969, 649, 5659, 621, 267, 1577, 781, 10544, 513, 4062, 540, 1957, 543, 1294, 875, 547, 1265, 519, 476, 276, 5991, 3784, 5758, 6000, 780, 5575, 540, 782, 267, 649, 991, 547, 1931, 938, 2338, 689, 10545, 547, 4102, 269, 7937, 267, 21898, 1862, 2334, 781, 2907, 930, 936, 5503, 538, 6476, 547, 1210, 519, 15345, 14269, 18185, 269, 7102, 3118, 267, 1934, 621, 568, 1384, 280, 267, 476, 1321, 267, 476, 1704, 267, 476, 866, 267, 476, 2641, 267, 476, 2641, 267, 476, 2420, 267, 476, 2420, 267, 476, 1839, 267, 476, 2767, 267, 476, 3066, 267, 476, 1789, 267, 476, 1789, 267, 476, 3953, 267, 476, 3451, 267, 476, 3607, 267, 476, 4391, 267, 476, 4343, 267, 476, 2412, 267, 476, 5655, 267, 476, 5655, 267, 476, 4510, 267, 476, 3393, 267, 476, 4366, 780, 9617, 607, 649, 4330, 538, 519, 1657, 3296, 267, 649, 2253, 676, 4466, 519, 5934, 543, 519, 5021, 1384, 2381, 3065, 815, 476, 280, 10484, 10946, 3065, 815, 476, 4366, 780, 11039, 267, 1100, 835, 3893, 4642, 267, 865, 602, 781, 513, 1434, 3364, 269, 1809, 1100, 835, 3893, 519, 5021, 267, 2901, 269, 7102, 3118, 267, 1577, 781, 4734, 519, 2079, 585, 2663, 543, 1205, 1394, 547, 519, 824, 1614, 2418, 689 ]

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

[ 8138, 2102, 637, 1299, 15019, 570, 1886, 525, 692, 306, 17532, 9977, 32741, 12732, 2066, 2789, 24848, 637, 1369, 4207, 5708, 267, 1519, 1507, 2389, 1144, 5468, 267, 9036, 13341, 267, 543, 2828, 3562, 2000, 13569, 7653, 269, 2368, 2442, 21050, 525, 1336, 1369, 891, 6386, 1331, 1384, 272, 269, 5822, 932, 1734, 281, 5019, 6782, 1235, 22653, 924, 1310, 1296, 6306, 267, 2348, 9921, 323, 2094, 741, 3355, 7237, 269, 2060, 4195, 5380, 267, 789, 28958, 3255, 547, 12081, 924, 2025, 31168, 543, 1628, 6793, 4296, 982, 2479, 1354, 780, 7078, 281, 631, 14371, 269, 17659, 523, 781, 834, 27094, 14576, 338, 257, 7710, 513, 2034, 7302, 766, 15832, 1063, 1079, 5449, 15032, 4547, 1394, 1927, 676, 12556, 780, 273, 269, 11534, 657, 2572, 5900, 847, 281, 30449, 532, 2043, 689, 1114, 10080, 5932, 8082, 543, 10761, 607, 789, 4161, 1142, 824, 781, 4978, 543, 2418, 269, 3683, 942, 267, 17804, 16752, 6536, 2208, 543, 7071, 585, 3309, 2833, 780, 274, 269, 10555, 14740, 281, 589, 1291, 1915, 554, 1938, 3297, 606, 620, 5362, 610, 3924, 267, 13031, 3020, 3961, 2663, 538, 519, 1650, 269, 19461, 21390, 2285, 1259, 547, 4514, 4276, 2899, 11580, 2097, 547, 1769, 780, 275, 269, 1280, 321, 5200, 11146, 281, 24498, 4229, 21279, 27503, 3347, 1813, 547, 6848, 8155, 267, 3318, 9993, 267, 610, 1920, 1843, 687, 269, 6736, 14488, 267, 18798, 829, 572, 3164, 267, 18445, 602, 9758, 15754, 25186, 7496, 780, 21010, 532, 609, 7073, 10748, 7891, 692, 28757, 17266, 9977, 32741, 3180, 1880, 10083, 585, 2221, 781, 3988, 1222, 2016, 13346, 22097, 543, 9687, 8456, 4724, 1875, 10177, 6463, 3885, 269, 4340, 547, 2487, 772, 2529, 269, 17227, 13163, 1239, 630, 1708, 272, 1070, 5111, 476, 1428, 2929, 1977, 1453, 2661, 609, 513, 2582, 2385, 1107, 1226, 908, 547, 5176, 835, 538, 2185, 3214, 896, 2085, 476, 1240, 269, 5015, 267, 1857, 10343, 540, 4244, 19824, 814, 6738, 3648, 267, 3850, 811, 1930, 5717, 4478, 2582, 30822, 11856, 543, 922, 2591, 780, 3528, 10223, 8076, 28402, 540, 2582, 3237, 10188, 1950, 4664, 543, 3232, 9620, 267, 891, 9089, 1683, 4313, 267, 17604, 267, 543, 15418, 585, 9118, 3988, 269, 5047, 267, 30425, 532, 3811, 12352, 4646, 9624, 2189, 6381, 26182, 4126, 543, 27277, 1851, 1346, 5275, 2648, 5103, 9583, 31837, 25236, 762, 12918, 780, 6962, 692, 306, 17532, 9977, 32741, 19582, 606, 1898, 13395, 1369, 4207, 5708, 267, 5356, 3638, 7148, 652, 1845, 540, 7553, 267, 6560, 267, 543, 25863, 10704, 1472, 23349, 1920, 3889, 269, 5548, 1324, 883, 4798, 540, 5539, 267, 1582, 22523, 267, 6043, 267, 543, 7067, 267, 4589, 4739, 9159, 8941, 602, 13469, 7184, 609, 2413, 9458, 269, 1306, 938, 2486, 5170, 8508, 4763, 543, 13857, 11269, 540, 1920, 6384, 267, 17266, 9977, 32741, 9153, 11972, 9029, 543, 7096, 1764, 593, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 18308, 281, 631, 294, 17659, 523, 454, 30475, 281, 1948, 668, 766, 267, 1948, 26211, 1650, 267, 1948, 4186, 3637, 454, 1432, 11524, 616, 454, 306, 11691, 827, 11146, 14576, 338, 912, 14881, 10150, 713, 454, 26211, 1650, 1360, 1454, 269, 898, 568, 6653, 543, 11509, 2507, 4634, 1498, 713, 454, 32143, 568, 2110, 519, 2278, 3576, 519, 942, 547, 1118, 1169, 3787, 540, 519, 454, 7120, 723, 2597, 543, 1871, 269, 634, 3007, 547, 1469, 267, 899, 519, 1259, 454, 32743, 2581, 476, 1182, 519, 7484, 31817, 267, 2306, 713, 1650, 1796, 856, 2507, 11146, 14576, 338, 454, 338, 902, 267, 543, 631, 14371, 269, 17659, 523, 814, 2944, 513, 5386, 2816, 609, 713, 28461, 1721, 12096, 523, 19664, 17352, 454, 27094, 14576, 338, 568, 513, 6653, 2110, 1650, 827, 513, 2034, 4960, 547, 454, 1633, 513, 6689, 24807, 269, 634, 1650, 729, 1434, 543, 519, 1603, 729, 454, 7922, 12578, 349, 18800, 518, 585, 634, 23620, 22456, 454, 1607, 568, 1776, 5386, 960, 676, 17659, 523, 602, 786, 4734, 596, 454, 10623, 9934, 13854, 269, 11146, 8964, 568, 513, 6653, 267, 4207, 2110, 1650, 454, 7474, 786, 17134, 656, 543, 10508, 922, 3988, 689, 1376, 547, 454, 1721, 634, 7043, 543, 10374, 540, 621, 454, 27094, 14576, 338, 20620, 1001, 271, 676, 631, 14371, 269, 17659, 523, 454, 20524, 824, 10643, 676, 631, 294, 17659, 523, 693, 3911, 1662, 6919, 2593, 912, 637, 5703, 269, 9453, 12145, 519, 2924, 896, 10677, 11603, 454, 629, 913, 267, 1100, 851, 540, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 17532, 9977, 7931, 1734, 257, 607, 851, 540, 834, 11227, 1315, 23620, 1315, 12634, 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, 589, 1906, 3275, 3516, 267, 594, 3357, 2066, 513, 2022, 593, 835, 540, 1250, 5172, 2228, 15473, 6998, 267, 834, 4692, 596, 1683, 606, 7650, 540, 519, 1699, 1533, 540, 23111, 4673, 781, 2067, 9249, 543, 8134, 8119, 1306, 513, 7350, 27423, 945, 14560, 4974, 2189, 2249, 543, 741, 5054, 267, 594, 729, 27278, 676, 519, 2243, 269, 1717, 267, 607, 606, 28048, 1246, 518, 540, 519, 8468, 267, 594, 6785, 602, 972, 1590, 581, 930, 3330, 24983, 3297, 519, 8966, 13214, 2094, 1412, 307, 600, 4673, 262, 3884, 1405, 3335, 1031, 547, 3277, 547, 1022, 1880, 7226, 610, 5117, 780, 18455, 851, 540, 519, 2146, 267, 594, 4956, 547, 1404, 2059, 269, 2991, 782, 267, 938, 2370, 562, 809, 540, 519, 4950, 29263, 593, 971, 28031, 5652, 15377, 256, 1924, 267, 594, 15527, 267, 5910, 2056, 547, 19955, 519, 7662, 267, 1603, 513, 1279, 2914, 14800, 3210, 10503, 19858, 8916, 543, 7068, 1336, 1369, 519, 14070, 7706, 540, 1412, 307, 600, 4673, 8339, 898, 7012, 1405, 2394, 2663, 602, 594, 4121, 519, 5168, 9789, 3312, 16968, 1185, 1044, 6158, 827, 741, 4620, 512, 5875, 3121, 3957, 23111, 4673, 256, 1358, 941, 8806, 5275, 5796, 593, 2870, 3617, 2713, 2175, 585, 1200, 269, 1284, 3838, 513, 1434, 14902, 936, 875, 2484, 1055, 3490, 1250, 2626, 1185, 1044, 282, 18562, 267, 789, 15874, 1250, 5876, 543, 9644, 780, 306, 3019, 2614, 267, 824, 3755, 3323, 4687, 16168, 2984, 827, 2053, 950, 789, 1932, 31495, 2181, 1540, 9708, 610, 2055, 1813, 547, 24813, 2236, 2084, 610, 3668, 540, 1697, 2796, 269, 2290, 3593, 22281, 539, 606, 10071, 1141, 646, 6170, 3108, 15388, 21372, 3140, 5013, 1152, 547, 8275, 602, 1010, 8284, 8468, 2818, 2877, 948, 7114, 1509, 324, 8100, 2864, 982, 4890, 1686, 4245, 269, 6271, 1268, 5143, 721, 827, 5134, 1136, 513, 6643, 8142, 4904, 609, 23199, 543, 12746, 625, 607, 19621, 14235, 543, 8694, 909, 13167, 513, 17890, 16472, 593, 5339, 2553, 3079, 269, 1452, 8941, 18056, 803, 602, 5103, 1373, 3059, 25165, 267, 649, 666, 1869, 588, 18443, 2390, 2792, 7496, 1256, 538, 5432, 5624, 780, 5978, 4901, 1287, 3576, 513, 14436, 2490, 2509, 14344, 519, 2956, 540, 3742, 6947, 543, 2312, 2792, 1107, 2523, 2228, 1141, 3159, 267, 1560, 1893, 267, 543, 11132, 7215, 5749, 1405, 11593, 2139, 10291, 269, 901, 3366, 547, 4030, 827, 6568, 543, 9639, 950, 15025, 609, 1866, 267, 7488, 952, 621, 781, 513, 13680, 5385, 610, 3978, 11407, 269, 769, 9759, 267, 2921, 513, 4090, 547, 5963, 1174, 1018, 1776, 1268, 1797, 2337, 6536, 6793, 4296, 543, 2057, 11991, 10539, 780, 1103, 3932, 267, 1247, 7620, 7138, 1194, 676, 519, 15116, 2243, 3823, 834, 307, 600, 4673, 781, 257, 2067, 9249, 267, 594, 4362, 513, 17175, 15529, 8559, 3056, 547, 993, 6748, 23278, 4925, 267, 24084, 2287, 18759, 267, 543, 3407, 1491, 25498, 827, 2500, 2792, 269, 11086, 267, 891, 4205, 6039, 607, 513, 12576, 602, 1169, 1631, 543, 1287, 267, 19480, 1394, 689, 938, 10054, 2636, 721, 547, 5660, 1312, 519, 21055, 543, 27461, 10096, 30443, 6362, 9944, 519, 2627, 540, 7391, 267, 5807, 23274, 1851, 21046, 8087, 676, 3838, 12137, 1127, 543, 2833, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 29205, 596, 1683, 606, 7650, 540, 519, 1699, 1533, 540, 23111, 4673, 781, 2067, 9249, 543, 8134, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 1569, 547, 909, 3562, 15082, 1344, 827, 23111, 4673, 781, 2067, 9249, 543, 8134, 269, 1717, 267, 23111, 4673, 568, 513, 1455, 2016, 2012, 543, 1510, 811, 2796, 267, 621, 568, 2352, 547, 3313, 799, 1747, 610, 3148, 596, 616, 13288, 547, 269, 2052, 596, 5225, 1683, 3606, 1344, 610, 16551, 9495, 692, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 7689, 476, 277, 281, 31786, 11150, 585, 1473, 3233, 19663, 630, 300, 15097, 4980, 10474, 2020, 8702, 1394, 267, 3039, 555, 29304, 256, 4653, 649, 2811, 2469, 547, 1451, 827, 8654, 2994, 585, 11255, 3395, 267, 4481, 950, 14237, 17089, 2371, 269, 898, 1522, 3100, 899, 513, 2241, 4305, 910, 1175, 2490, 593, 930, 8279, 267, 1318, 286, 4270, 267, 972, 781, 2965, 811, 2257, 3297, 621, 982, 596, 1589, 256, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 780, 5575, 1919, 1101, 281, 1946, 798, 2371, 991, 1769, 286, 12518, 946, 7943, 547, 1711, 741, 1426, 998, 15591, 269, 901, 1184, 2636, 873, 547, 1332, 2178, 543, 2635, 269, 1717, 267, 950, 3395, 16280, 267, 2067, 7943, 3884, 1405, 2141, 2139, 267, 865, 649, 723, 547, 1265, 4244, 3435, 269, 2334, 781, 1141, 5841, 1332, 8279, 2097, 538, 2439, 2467, 616, 1896, 2010, 540, 1332, 8279, 602, 8597, 547, 1114, 2115, 269, 1284, 723, 1614, 1292, 6688, 281, 12071, 2803, 1417, 28691, 267, 4400, 268, 4504, 3748, 2598, 8408, 630, 295, 2839, 264, 28691, 267, 543, 10896, 22320, 28691, 269, 3962, 1826, 3091, 2189, 5383, 4470, 593, 2188, 971, 607, 1942, 267, 1648, 4398, 267, 3002, 2504, 267, 543, 8552, 1852, 780, 31880, 2803, 1417, 28691, 616, 1390, 585, 14987, 1813, 547, 741, 1970, 1942, 543, 8766, 3002, 3977, 269, 1358, 960, 1655, 585, 19155, 543, 804, 2158, 2094, 891, 5933, 2154, 1447, 7920, 1769, 269, 3281, 716, 12071, 2803, 30105, 630, 290, 14566, 338, 264, 543, 570, 276, 24638, 13740, 616, 1455, 5079, 1369, 713, 7121, 780, 9202, 909, 267, 1577, 781, 2911, 827, 4400, 268, 4504, 3748, 2598, 8408, 630, 295, 2839, 264, 28691, 269, 1452, 3983, 8695, 3640, 3833, 513, 24362, 609, 2362, 561, 18210, 17016, 3379, 547, 824, 3681, 269, 19045, 16199, 728, 630, 300, 295, 264, 22311, 12520, 16830, 4544, 880, 1769, 4998, 585, 3543, 894, 2208, 1247, 4400, 16242, 31406, 630, 295, 4916, 264, 22311, 3132, 15911, 26070, 1769, 3501, 585, 28480, 11775, 269, 5901, 538, 2247, 1498, 282, 670, 31312, 5352, 1713, 3002, 799, 949, 1289, 585, 3606, 9023, 1949, 780, 15563, 267, 938, 1007, 4819, 593, 519, 3625, 281, 10896, 22320, 28691, 269, 2060, 7760, 538, 2029, 267, 27178, 2709, 2407, 1606, 1051, 5300, 4188, 1464, 267, 2495, 596, 666, 21160, 1769, 10346, 1759, 593, 2030, 4170, 693, 1585, 2208, 5933, 269, 9578, 267, 789, 8532, 1447, 1379, 543, 3132, 3648, 1447, 3002, 982, 2757, 13413, 269, 1809, 3314, 267, 2298, 2501, 693, 513, 3902, 267, 1818, 873, 3622, 11720, 1512, 780, 3086, 267, 875, 798, 649, 21825, 2990, 891, 8279, 286, 7233, 4463, 4249, 513, 2629, 1909, 1934, 269, 1306, 513, 4341, 540, 14853, 267, 2226, 513, 5934, 3845, 540, 476, 1321, 6279, 1063, 519, 1283, 540, 519, 24588, 543, 519, 1769, 2707, 269, 18554, 2030, 3210, 5781, 543, 4188, 9935, 269, 1403, 3762 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3668, 540, 2551, 1344, 269, 476, 272, 269, 272, 269, 274, 634, 7521, 593, 9297, 543, 9265, 538, 513, 2428, 9917, 961, 476, 736, 476, 272, 269, 273, 7351, 1382, 593, 9265, 2530, 476, 2641, 476, 272, 269, 273, 269, 272, 26257, 9265, 1382, 543, 3631, 476, 2641, 476, 272, 269, 273, 269, 273, 26085, 10850, 543, 10526, 476, 2537, 476, 272, 269, 274, 13979, 476, 1839, 476, 273, 6034, 3123, 540, 9265, 2530, 476, 3066, 476, 273, 269, 272, 4985, 476, 3066, 476, 273, 269, 273, 8092, 14025, 1689, 476, 3451, 901, 814, 513, 5458, 1764, 593, 3425, 607, 972, 786, 3476, 581, 1426, 547, 3548, 267, 5777, 540, 21113, 786, 4473, 543, 519, 2560, 12833, 5297, 15661, 281, 12833, 5297, 2249, 616, 2048, 531, 1329, 685, 610, 2048, 1410, 5328, 685, 2249, 799, 616, 5189, 18417, 610, 2560, 21694, 476, 276, 269, 22353, 267, 649, 1331, 711, 1152, 7840, 585, 2417, 1353, 267, 855, 849, 7840, 585, 4058, 585, 2962, 1141, 1702, 568, 6190, 547, 1683, 2312, 5583, 269, 1703, 568, 7372, 14486, 689, 1480, 2534, 269, 901, 2689, 540, 476, 6245, 5359, 540, 1689, 538, 26868, 1858, 9060, 602, 519, 4080, 1279, 3856, 2530, 540, 2067, 19126, 25939, 1063, 476, 7918, 1700, 6872, 260, 855, 2530, 949, 723, 1044, 607, 1164, 607, 476, 9262, 260, 2094, 476, 10204, 271, 5084, 269, 23834, 302, 10292, 302, 5025, 638, 1738, 267, 513, 2518, 2203, 540, 1480, 1764, 593, 519, 9265, 540, 24654, 12748, 8134, 267, 1215, 1454, 26868, 814, 519, 1158, 4503, 286, 634, 10770, 2530, 540, 9265, 2306, 18495, 1995, 2804, 267, 1514, 543, 8733, 2152, 269, 634, 4139, 5742, 585, 519, 11094, 540, 7186, 630, 296, 30002, 264, 25221, 602, 1699, 14486, 3928, 616, 2907, 476, 1911, 268, 1911, 271, 3040, 13038, 320, 562, 6605, 8328, 2181, 521, 338, 999, 517, 14147, 872, 325, 521, 732, 14741, 562, 574, 1242, 2073, 810, 267, 3040, 13038, 10236, 4094, 9079, 26078, 647, 637, 593, 1278, 642, 340, 561, 1676, 762, 5117, 521, 269, 12603, 530, 1695, 337, 22385, 514, 28727, 2144, 560, 320, 684, 28727, 4614, 3768, 1008, 758, 656, 652, 324, 8210, 5287, 660, 23036, 568, 339, 267, 546, 817, 5800, 9110, 328, 2674, 4526, 2357, 332, 583, 28727, 803, 15590, 1488, 1084, 581, 342, 15786, 530, 6686, 6113, 523, 267, 620, 338, 513, 639, 3541, 646, 1393, 575, 7564, 978, 3394, 5975, 571, 19816, 31258, 933, 1047, 521, 4883, 341, 3326, 476, 619, 3832, 842, 269, 7909, 807, 267, 543, 547, 2087, 519, 11007, 540, 1239, 593, 1689, 538, 26868, 2127, 538, 3370, 4574, 543, 5359, 269, 634, 6167, 13482, 593, 18143, 16844, 630, 290, 9720, 264, 568, 2921, 6006, 540, 922, 4557, 4458, 21864, 4643, 267, 543, 5103, 930, 1883, 3356, 267, 1034, 540, 519, 589, 24734, 28080, 1115, 616, 3564, 3914, 267, 2523, 1346, 7282, 9940, 10256, 540, 9265, 2530, 269, 7201, 519, 476, 273, 661, 270, 5960, 312, 4282, 2557, 267, 519, 1297, 540, 2249, 602, 723, 8854, 17255, 538, 519, 2063, 2540, 1131, 723, 3144, 267, 4470, 593, 519, 9451, 24260, 3454, 517, 267, 1063, 476, 8517, 543, 476, 1015, 267, 1822, 1296, 547, 14897, 269, 3040, 28673, 320, 561, 917, 548, 546, 613, 267, 538, 18051, 725, 513, 26998, 1316, 545, 1965, 540, 967, 476, 4246, 267, 3040, 21954, 328, 2613, 640, 917, 548, 546, 613, 267, 555, 552, 1414, 16780, 552, 3490, 513, 26998, 10509, 562, 3098, 616, 267, 543, 2622, 11094, 16424, 10418, 269, 631, 14473, 700, 269, 23184, 7495, 630, 2419, 1515, 2006, 267, 2817, 3163, 8274, 1070, 18947, 21470, 5518, 267, 5303, 267, 20466, 4149, 793, 531, 267, 5549, 269, 8946, 6865, 3008, 645, 269, 898, 568, 2523, 4143, 585, 5726, 4058, 547, 2708, 2436, 519, 2804, 1871, 540, 5117, 2533, 568, 22883, 6053, 21412, 609, 9265, 269, 3040, 634, 5726, 4567, 540, 339, 554, 4680, 29347, 476, 625, 2865, 967, 17772, 710, 327, 607, 2041, 523, 269, 4083, 269, 2142, 574, 5004, 13153, 654, 1068, 335, 777, 328, 7967, 568, 339, 646, 1393, 5884, 8210, 5287, 660, 23036, 3541, 5800, 9110, 19708, 12929, 782, 613, 1889, 514, 606, 518, 16988, 660, 267, 546, 817, 521, 747, 538, 5800, 31987, 661, 4135, 337, 7564, 613, 1039, 328, 7967, 267, 20322, 1731, 523, 26523, 1122, 523, 4129, 604, 714, 328, 7967, 3768, 546, 817, 8937, 575, 17507, 698, 974, 5800, 31987, 554, 7564, 340, 14808, 513, 1276, 654, 1068, 335, 777, 328, 699, 6678, 531, 1084, 267, 5884, 1107, 5248, 328, 1068, 914, 571, 19816, 564, 1107, 562, 584, 530, 523, 580, 1140, 571, 19241, 643, 476, 619, 3832, 514, 523, 269, 769, 6207, 2474, 2825, 4747, 568, 5111, 2947, 2053, 2362, 538, 519, 5207, 4747, 30883, 850, 267, 3379, 547, 519, 1079, 9803, 30883, 3796, 269, 26085, 8060, 519, 2596, 3157, 899, 10250, 3766, 553, 267, 1216, 543, 8770, 9979, 267, 607, 1134, 607, 3037, 5250, 269, 3040, 13363, 539, 2127, 616, 6202, 4448, 543, 842, 324, 1989, 730, 20041, 519, 4204, 678, 269, 2311, 2199, 10253, 267, 621, 568, 2693, 602, 8134, 609, 3152, 9265, 616, 811, 11327, 543, 811, 7123, 998, 942, 269, 26335, 13809, 543, 32746, 7695, 476, 273, 269, 9265, 2530, 1107, 713, 3310, 568, 11573, 3042, 547, 5111, 2475, 259, 18597, 271, 5479, 630, 517, 1283, 540, 519, 2475, 259, 2420, 5479, 519, 594, 15598, 561, 1742, 1142, 1032, 264, 998, 17319, 946, 540, 13662, 277, 267, 1519, 476, 10695, 1129, 14898, 269, 26085, 13809, 543, 8092, 667, 18341, 566, 1323, 11137, 540, 519, 11038, 7698, 640, 26085, 13809, 4208, 26085, 13809, 25198, 476, 4510, 18265, 2475, 9489, 540, 2804, 1871, 6383, 1142, 1032, 568, 26815, 610, 3810, 8200, 593, 2470, 269, 272, 901, 568, 811, 982, 476, 2004, 829, 1298, 540, 2518, 12654, 269, 19126, 630, 528, 476, 2004, 260, 2094, 476, 5002, 271, 5084, 1040, 13229, 543, 6098, 5726, 2962, 3340, 2143, 1344, 827, 2249, 267, 741, 3892, 267, 1062, 18267, 543, 14498, 607, 1134, 607, 519, 3892, 540, 3463, 3157, 799, 1860, 873, 269, 1284, 1459, 519, 1101, 2479, 2518, 2079, 540, 14486, 1981, 538, 20641, 267, 1759, 593, 513, 4351, 11347, 3732, 540, 476, 5611, 271, 2249, 630, 1626, 260, 540, 782, 4867, 1634, 2249, 1040, 715, 9569, 3201, 13316, 21398, 19181, 1547, 1280, 1383, 267, 4824, 267, 538, 4180, 5726, 607, 1134, 607, 3327, 9113, 559, 1466, 544, 269, 6705, 538, 1656, 31137, 21423, 543, 4437, 9618, 630, 303, 6652, 611, 267, 23703, 328, 267, 681, 4660, 340, 267, 476, 5655, 260, 540, 519, 2249, 616, 2901, 12219, 610, 693, 267, 513, 3099, 540, 21049, 18508, 543, 21426, 855, 3068, 3586, 3463, 267, 1439, 12515, 267, 513, 3152, 8167, 540, 12219, 2249, 267, 4400, 9265, 19069, 2127, 941, 269, 1280, 1383, 267, 3165, 13632, 616, 546, 13388, 1782, 267, 4104, 2530, 568, 4611, 538, 519, 2530, 540, 1082, 2249, 267, 2244, 543, 824, 2200, 616, 1373, 3765, 4310, 267, 3056, 547, 1585, 1279, 2474, 3790, 269, 634, 25549, 2127, 538, 630, 321, 264, 5815, 2281, 609, 1981, 540, 2362, 2530, 538, 19113, 982, 476, 4817, 260, 4351, 281, 2362, 2530, 538, 4835, 7936, 3259, 630, 29368, 267, 2699, 1070, 2362, 2530, 538, 12363, 7936, 3259, 630, 307, 289, 267, 4544, 1070, 543, 513, 4999, 540, 1312, 630, 18872, 1040, 7457, 3621, 1702, 689, 9170, 269, 26085, 281, 12791, 543, 20970, 23446, 269, 634, 15437, 538, 630, 320, 264, 2099, 519, 6871, 540, 19113, 547, 581, 4503, 267, 689, 1970, 630, 19990, 264, 547, 1164, 630, 1042, 1040, 12989, 267, 649, 2689, 519, 3123, 267, 4539, 543, 2009, 3435, 269, 634, 4541, 781, 9265, 568, 896, 3463, 543, 519, 1292, 27521, 568, 519, 835, 945, 267, 19433, 1227, 267, 4096, 593, 621, 1034, 281, 1480, 1373, 269, 476, 278, 1070, 796, 701, 328, 3820, 270, 32474, 9113, 1545, 11305, 870, 787, 1606, 15471, 3613, 1559, 270, 2537, 268, 269, 634, 4611, 3448, 1611, 11606, 540, 3312, 2249, 568, 1031, 607, 13525, 585, 9265, 16856, 1145, 269, 26085, 538, 15195, 8134, 1107, 8933, 267, 12647, 543, 19126, 1107, 568, 18460, 4028, 2518, 7771, 269, 901, 1353, 2488, 513, 3730, 1448, 540, 6476, 609, 824, 2477, 602, 616, 693, 1114, 5933, 538, 519, 4305, 540, 7011, 1782, 9265, 1344, 269, 3683, 7721, 680, 334, 2787, 585, 20497, 1436, 476, 274, 269, 634, 2530, 540, 2249, 267, 9249, 543, 8134, 568, 267, 3040, 4985, 543, 324, 588, 28344, 618, 540, 8656, 1975, 516, 1203, 539, 269, 634, 10256, 4867, 3769, 616, 6952, 618, 2244, 946, 2242, 543, 8770, 15205, 7133, 1216, 2298, 267, 543, 3289, 25233, 19717, 543, 2916, 1689, 7133, 1216, 7274, 269, 2311, 519, 1482, 942, 267, 1883, 10256, 540, 9265, 2530, 2611, 610, 723, 2799, 267, 15558, 1154, 519, 2318, 3527, 547, 9258, 713, 269, 26085, 267, 476, 1708, 271, 568, 513, 24182, 1032, 585, 9265, 4027, 269, 6736, 3908, 942, 547, 4431, 267, 972, 568, 513, 2178, 8990, 547, 8011, 538, 10300, 1154, 9265, 2530, 267, 607, 1134, 607, 10300, 1154, 2518, 8337, 543, 8236, 4264, 1646, 269, 12833, 5297, 15661, 476, 275, 269, 6870, 1858, 1062, 538, 18475, 1705, 711, 18113, 2149, 2901, 11248, 531, 610, 8733, 4763, 269, 898, 849, 5540, 1480, 1072, 267, 1514, 1894, 267, 543, 5191, 540, 3903, 269, 8281, 519, 26085, 4967, 7300, 585, 594, 3008, 11929, 269, 9105, 1053, 547, 2253, 547, 8495, 3435, 602, 616, 1373, 6836, 1472, 519, 1158, 547, 2232, 519, 4161, 540, 9265, 543, 7226, 2530, 269, 634, 4057, 7048, 811, 8185, 593, 7449, 14571, 2472, 971, 607, 3574, 10173, 543, 3552, 3536, 267, 543, 593, 2472, 19122, 689, 2067, 2127, 824, 982, 7733, 269, 519, 3597, 3123, 540, 9265, 2530, 8734, 476, 1724, 267, 476, 1708, 271, 17397, 1635, 7439, 320, 21662, 5398, 7732, 570, 28692, 9517, 476, 279, 3607, 6924, 274, 322, 278, 6732, 7300, 661, 1504, 9210, 889, 7732, 543, 7226, 1689, 723, 1044, 1134, 6594, 855, 519, 14227, 2188, 1866, 3297, 891, 1463, 610, 9938, 1493, 3123, 540, 9265, 2530, 2560, 22910, 1948, 7704, 310, 4488, 3583, 269, 13809, 540, 26085, 281, 3794, 984, 958, 3194, 2982, 602, 1480, 2534, 666, 1291, 547, 8375, 2949, 2518, 5210, 267, 4929, 4262, 2157, 547, 4473, 267, 22260, 547, 15835, 267, 543, 2870, 7928, 543, 3665, 4365, 2621, 899, 24377, 267, 17160, 267, 543, 20016, 600, 529, 269, 12524, 5999, 476, 272, 269, 4014, 782, 8134, 616, 2111, 547, 3082, 547, 519, 17613, 2404, 609, 20214, 538, 9265, 547, 930, 4110, 267, 3267, 630, 14457, 1040, 2659, 960, 949, 581, 6462, 676, 19180, 610, 1820, 2326, 602, 30075, 543, 5659, 519, 1888, 543, 3390, 593, 2199, 543, 2518, 2157, 269, 15661, 16844, 966, 269, 23270, 16844, 17886, 269, 1924, 267, 621, 568, 827, 22406, 2338, 540, 1114, 2249, 267, 4719, 8390, 1063, 543, 2560, 1677, 3313, 519, 1871, 540, 519, 5117, 2533, 3177, 676, 891, 1079, 9265, 3638, 4609, 538, 674, 25702, 1519, 9265, 5726, 267, 3327, 4859, 543, 3524, 652, 1674, 267, 9235, 267, 3092, 269, 18430, 539, 267, 476, 272, 269, 16258, 5013, 1635, 476, 1708, 276, 267, 3368, 540, 519, 1158, 779, 2551, 786, 581, 2713, 538, 1216, 3613, 5962, 2127, 269, 772, 332, 5884, 16170, 324, 583, 2426, 3541, 21954, 1392, 28059, 14193, 325, 30349, 2763, 3394, 267, 530, 2273, 646, 1393, 538, 654, 1170, 839, 577, 10762, 3768, 16217, 343, 529, 803, 626, 3541, 654, 1068, 32489, 29992, 1676, 1488, 1084, 522, 1457, 3331, 500, 330, 4722, 324, 1655, 9404, 339, 269, 19739, 7495, 4353, 8991, 14510, 267, 667, 9128, 2562, 296, 3582, 5508, 27950, 681, 269, 4210, 532, 1633, 634, 20736, 22641, 4659, 540, 11094, 543, 17905, 594, 269, 3367, 827, 26085, 11094, 267, 519, 2956, 540, 26085, 267, 13809, 540, 26085, 267, 543, 811, 269, 634, 9072, 616, 10483, 676, 2143, 3527, 585, 519, 3864, 8189, 630, 4488, 264, 543, 519, 9167, 16588, 2276, 630, 5960, 1040, 3040, 13363, 539, 2127, 616, 1030, 535, 624, 1947, 543, 3225, 19935, 812, 698, 1196, 269, 26085, 13726, 1115, 267, 952, 1134, 2966, 543, 8045, 267, 568, 835, 3609, 6293, 602, 666, 948, 11574, 891, 3466, 269, 7300, 1923, 2201, 5463, 476, 272, 267, 476, 1001, 277, 267, 623, 807, 590, 996, 328, 543, 1866, 3370, 13809, 540, 26085, 1923, 4855, 267, 1224, 543, 13712, 782, 519, 1382, 596, 991, 593, 3194, 294, 622, 2961, 11538, 856, 2146, 29374, 8733, 10526, 540, 891, 16671, 2026, 1519, 555, 267, 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, 570, 570, 570, 267, 2059, 519, 18843, 2306, 909, 513, 5444, 267, 1142, 1895, 540, 1614, 4564, 519, 3009, 585, 835, 540, 8938, 11254, 7408, 267, 799, 538, 1813, 1576, 3029, 851, 540, 513, 3940, 11140, 267, 799, 2488, 519, 2497, 540, 2281, 543, 8031, 269, 3962, 1895, 540, 1614, 568, 513, 13798, 517, 269, 1703, 616, 476, 5038, 1634, 13798, 976, 267, 609, 476, 274, 3247, 610, 20060, 1619, 13798, 976, 16287, 519, 1439, 540, 519, 5311, 269, 898, 568, 6059, 602, 476, 274, 5479, 3490, 8424, 540, 589, 570, 595, 717, 1118, 909, 519, 1480, 11646, 267, 1447, 982, 476, 276, 260, 1373, 6090, 267, 519, 1599, 540, 519, 1964, 568, 711, 1634, 693, 1459, 269, 3962, 1367, 814, 513, 1114, 11460, 540, 891, 5022, 538, 741, 4719, 3009, 267, 3976, 621, 568, 1360, 12691, 602, 1079, 3425, 610, 7103, 786, 581, 4010, 9838, 269, 634, 3483, 540, 811, 982, 476, 1789, 267, 1822, 6090, 814, 865, 2484, 1044, 3964, 563, 10376, 1591, 538, 519, 1480, 1560, 3568, 1079, 2347, 5036, 540, 476, 2420, 22921, 15954, 7132, 2473, 543, 962, 267, 1818, 476, 5379, 538, 2698, 269, 634, 11460, 540, 519, 15954, 538, 513, 1591, 568, 1572, 513, 737, 541, 9189, 269, 634, 4102, 15694, 568, 1297, 476, 272, 543, 519, 10545, 568, 1297, 476, 2420, 267, 7132, 3023, 15954, 2473, 543, 962, 267, 8951, 2348, 1079, 2473, 543, 9038, 2473, 543, 962, 269, 769, 519, 8047, 3043, 1973, 2281, 616, 3622, 1031, 547, 1353, 15954, 267, 799, 616, 9674, 1210, 11476, 269, 1879, 26911, 789, 616, 2938, 547, 723, 513, 22765, 899, 6512, 693, 519, 8998, 267, 1572, 513, 1298, 668, 699, 267, 543, 10058, 3109, 543, 3043, 13164, 6029, 519, 1114, 5666, 540, 13279, 589, 543, 570, 3379, 609, 13279, 717, 543, 595, 538, 1142, 543, 865, 789, 666, 581, 4857, 269, 26537, 22199, 616, 5258, 693, 519, 1298, 668, 699, 883, 513, 1279, 543, 2110, 6186, 267, 519, 2110, 6186, 1373, 1572, 4620, 527, 610, 533, 543, 519, 1279, 6186, 1373, 1572, 7117, 269, 634, 4525, 593, 519, 15694, 616, 22921, 689, 519, 1298, 668, 699, 585, 8446, 5301, 269, 3204, 687, 616, 4481, 22921, 909, 610, 1524, 689, 519, 1298, 668, 699, 267, 865, 513, 1808, 851, 540, 513, 15694, 666, 581, 22942, 539, 1210, 513, 3009, 563, 13312, 8183, 3901, 673, 1383, 540, 513, 6292, 540, 15954, 454, 2690, 1383, 281, 589, 4775, 609, 606, 25983, 1275, 593, 519, 1279, 6186, 540, 15694, 476, 280, 1131, 581, 2854, 607, 30619, 280, 336, 1321, 269, 272, 454, 18958, 4564, 4775, 454, 280, 568, 519, 15694, 1297, 454, 336, 568, 519, 1279, 6186, 454, 1321, 269, 272, 568, 519, 3148, 454, 8489, 553, 513, 5256, 609, 519, 1482, 25983, 1275, 1131, 581, 2854, 607, 2473, 312, 280, 336, 1321, 269, 272, 607, 2473, 312, 4564, 5256, 563, 311, 312, 4564, 5256, 454, 280, 568, 519, 15694, 1297, 454, 336, 568, 519, 1279, 6186, 454, 1321, 269, 272, 568, 519, 3148, 454, 2252, 513, 5444, 568, 7508, 689, 519, 2110, 6186, 540, 15694, 476, 277, 267, 621, 1131, 581, 4857, 607, 476, 277, 335, 268, 563, 277, 568, 519, 15694, 1297, 454, 335, 568, 519, 2110, 6186, 454, 268, 1797, 513, 5444, 568, 7508, 454, 10376, 15694, 814, 513, 1880, 5311, 540, 6090, 269, 769, 3425, 15694, 1297, 476, 1556, 814, 476, 20385, 274, 6090, 267, 609, 476, 16328, 267, 7818, 267, 4281, 275, 13279, 269, 26537, 25593, 1297, 476, 2420, 814, 476, 25971, 6090, 267, 609, 476, 5392, 267, 5325, 277, 267, 280, 7761, 13279, 563, 17843, 2249, 723, 513, 1114, 1297, 540, 15954, 563, 1475, 14549, 910, 476, 5379, 454, 26180, 8816, 8038, 910, 476, 279, 454, 1475, 293, 1716, 910, 4114, 269, 476, 6344, 271, 454, 1475, 291, 690, 910, 476, 4281, 454, 347, 24618, 11988, 910, 476, 3607, 454, 1475, 2419, 1157, 523, 910, 476, 4281, 454, 1475, 10111, 335, 910, 476, 10441, 454, 763, 10285, 2281, 267, 519, 4212, 543, 519, 14203, 267, 1142, 2270, 1152, 476, 2537, 2582, 15954, 267, 4646, 676, 519, 1184, 540, 32450, 269, 4438, 12093, 891, 6443, 1927, 547, 1106, 513, 1007, 1591, 609, 835, 1305, 540, 15954, 689, 1142, 2385, 269, 769, 713, 1259, 267, 1142, 15556, 814, 4162, 689, 1142, 2385, 267, 855, 568, 711, 9838, 547, 2901, 269, 634, 5027, 538, 713, 1591, 1287, 10943, 1080, 543, 18187, 919, 6634, 540, 2053, 676, 519, 1184, 540, 5378, 2670, 2394, 513, 14323, 1007, 15556, 568, 4646, 269, 2290, 1480, 15694, 3568, 476, 5611, 1535, 476, 11793, 30859, 8424, 543, 891, 616, 23652, 693, 476, 2004, 3490, 8424, 829, 2034, 269, 1234, 6473, 666, 2049, 693, 1896, 2798, 593, 519, 15694, 267, 3976, 519, 2898, 1184, 3217, 827, 835, 5662, 269, 1403, 18643, 3576, 1747, 693, 1152, 835, 1448, 621, 1131, 1491, 513, 3923, 563, 6124, 22951, 1938, 616, 7683, 1373, 1500, 1369, 519, 1591, 13540, 269, 4438, 18643, 519, 18843, 10943, 1080, 693, 1896, 4025, 1141, 519, 717, 595, 8424, 616, 4617, 652, 4448, 676, 1079, 7250, 7554, 269, 1879, 513, 1591, 568, 4712, 547, 7941, 519, 11747, 5027, 21484, 848, 2150, 342, 1235, 519, 927, 1460, 547, 1106, 513, 962, 3337, 267, 1572, 513, 18643, 23643, 269, 634, 11747, 5027, 29920, 12599, 689, 519, 6443, 540, 519, 18643, 23643, 1524, 519, 3056, 18843, 538, 519, 476, 274, 262, 547, 476, 276, 262, 4287, 267, 2542, 519, 30859, 5311, 269, 1677, 2226, 519, 25316, 541, 5537, 1106, 540, 519, 5027, 267, 609, 513, 19552, 693, 519, 476, 276, 262, 1439, 267, 519, 5027, 29920, 1287, 1140, 2851, 1007, 267, 7222, 22951, 1938, 547, 519, 3056, 18843, 538, 519, 476, 276, 262, 547, 476, 274, 262, 4287, 269, 1715, 22951, 1938, 3112, 581, 7923, 693, 519, 476, 274, 262, 1439, 540, 519, 2034, 610, 18848, 3101, 18843, 267, 607, 713, 1131, 13347, 519, 25316, 541, 5537, 1106, 6028, 513, 19552, 693, 519, 4636, 1439, 540, 519, 18843, 269, 590, 30708, 540, 5027, 1572, 21411, 1794, 13403, 15998, 616, 4061, 1500, 538, 519, 13540, 540, 519, 1591, 547, 8396, 713, 269, 1879, 1279, 2614, 6810, 723, 1044, 1500, 789, 1831, 7923, 547, 1142, 824, 543, 547, 519, 18848, 3101, 18843, 538, 519, 476, 276, 262, 547, 476, 274, 262, 4287, 676, 519, 11747, 5027, 14270, 848, 269, 5565, 1007, 22204, 540, 5027, 723, 1631, 1044, 19632, 563, 13312, 8183, 3901, 673, 1383, 540, 18643, 454, 300, 527, 2670, 568, 519, 1184, 676, 799, 1034, 2281, 538, 519, 1480, 1560, 616, 556, 6088, 269, 4438, 18643, 513, 26134, 568, 1500, 585, 1142, 15694, 267, 30945, 519, 1297, 538, 519, 1591, 547, 476, 10844, 267, 865, 789, 1831, 2473, 8032, 676, 11836, 693, 519, 3844, 22765, 899, 1858, 1572, 519, 1298, 668, 699, 269, 901, 568, 7923, 547, 2890, 30344, 2737, 799, 267, 1282, 1591, 6498, 267, 7485, 519, 15954, 547, 6587, 7475, 540, 519, 1591, 269, 634, 1591, 17337, 538, 519, 1647, 2348, 2813, 1079, 9838, 8250, 2281, 1142, 609, 476, 5379, 15954, 563, 13312, 8183, 3901, 673, 1383, 540, 5378, 2670, 454, 9288, 22719, 568, 519, 1184, 540, 18643, 676, 799, 4212, 2281, 616, 3812, 538, 519, 4775, 30124, 543, 14203, 2281, 616, 3812, 538, 519, 5256, 1449, 525, 269, 901, 3322, 1079, 5036, 540, 1591, 6498, 269, 634, 1101, 851, 540, 519, 1184, 568, 2147, 547, 5378, 2670, 607, 6565, 2281, 3132, 1079, 9838, 2281, 267, 1142, 609, 476, 5379, 15954, 269, 1717, 267, 930, 540, 891, 1287, 8237, 1586, 267, 1510, 18187, 908, 519, 15954, 267, 4611, 538, 2185, 2281, 1142, 609, 1152, 476, 2537, 15954, 269, 4438, 32450, 519, 15954, 31832, 20108, 7466, 547, 3132, 1114, 5444, 10659, 538, 1142, 4212, 610, 14203, 543, 713, 1184, 3217, 1614, 4374, 547, 2347, 269, 769, 1480, 9038, 476, 1220, 267, 1822, 267, 1822, 14203, 616, 1500, 1142, 1554, 267, 855, 538, 8951, 1152, 835, 14323, 9065, 636, 568, 1500, 1142, 3923, 563, 13312, 8183, 3901, 673, 1383, 540, 32450, 454, 9827, 538, 519, 13540, 540, 519, 1591, 568, 519, 3114, 10717, 630, 305, 756, 31265, 545, 3679, 264, 7768, 540, 20722, 710, 267, 1368, 29516, 267, 579, 2350, 559, 543, 11118, 27343, 269, 10717, 568, 5258, 883, 1896, 5049, 267, 1142, 2348, 513, 1114, 1599, 1369, 519, 1591, 269, 4438, 519, 1818, 540, 513, 3940, 513, 1770, 540, 1614, 27573, 13279, 593, 519, 5027, 7938, 785, 338, 543, 10596, 519, 3009, 593, 547, 513, 28034, 11140, 540, 10717, 269, 2961, 11538, 519, 23652, 3009, 713, 1287, 7575, 856, 540, 519, 13540, 883, 519, 32594, 540, 519, 1591, 1141, 1775, 512, 568, 23652, 883, 606, 11254, 3679, 543, 713, 26082, 609, 811, 11254, 7408, 547, 1106, 513, 3940, 563, 3682, 974, 1231, 616, 22169, 799, 666, 581, 7768, 540, 909, 547, 476, 736, 1114, 11254, 7408, 269, 1452, 616, 11231, 538, 513, 5569, 2059, 519, 3940, 543, 666, 581, 538, 513, 1950, 4806, 269, 634, 5311, 540, 519, 11254, 7408, 543, 519, 1599, 540, 519, 3940, 568, 5462, 676, 519, 4719, 3009, 269, 1703, 616, 1082, 1114, 2010, 540, 3940, 7900, 4247, 971, 607, 912, 1805, 4392, 267, 3560, 267, 17441, 267, 13805, 267, 4579, 633, 267, 17872, 267, 679, 9195, 1738, 563, 13295, 649, 1294, 602, 782, 7103, 616, 1500, 909, 540, 1082, 6464, 799, 267, 950, 22555, 267, 723, 1808, 2081, 540, 2324, 1927, 267, 607, 538, 5027, 269, 1452, 6464, 3357, 689, 519, 2215, 867, 658, 2220, 10102, 543, 616, 7683, 9687, 269, 1548, 3116, 568, 972, 547, 3605, 286, 9736, 10648, 295, 22601, 454, 2171, 4126, 602, 713, 1344, 814, 1044, 3730, 547, 596, 563, 2414, 2132, 547, 606, 4994, 4945, 922, 7735, 2630, 610, 519, 11058, 693, 519, 1283, 540, 519, 2985, 269, 0, 3891, 729, 1360, 3742, 538, 5009, 32066, 10304, 543, 8197, 899, 513, 32066, 269, 634, 590, 984, 1941, 1195, 324, 772, 5979, 345, 1156, 773, 5189, 606, 1930, 25804, 3406, 585, 1346, 593, 519, 2196, 267, 2495, 602, 782, 540, 519, 27998, 945, 1185, 19679, 689, 741, 18544, 1310, 519, 14829, 540, 476, 14341, 277, 610, 476, 13932, 277, 1765, 13932, 278, 1185, 547, 581, 8120, 269, 1323, 1383, 540, 713, 1223, 581, 3254, 538, 519, 2486, 540, 519, 27859, 269, 8092, 1652, 4600, 1185, 547, 2307, 10479, 547, 4734, 606, 10040, 269, 5047, 267, 519, 1453, 4535, 547, 513, 1583, 325, 15110, 519, 4567, 540, 519, 2385, 267, 543, 941, 2808, 4535, 883, 1583, 325, 3256, 693, 4332, 269, 4317, 5238, 2147, 547, 1583, 325, 3256, 941, 1634, 538, 269, 1733, 6235, 729, 513, 1455, 10751, 585, 563, 763, 14082, 21257, 1419, 2366, 17864, 543, 8387, 547, 519, 1715, 2622, 547, 4163, 856, 519, 2229, 972, 269, 1411, 616, 2953, 1498, 538, 6031, 519, 538, 519, 476, 866, 628, 595, 269, 21661, 519, 19300, 4673, 267, 998, 519, 4414, 7256, 267, 689, 519, 4095, 7909, 16788, 543, 2066, 519, 9533, 269, 1452, 522, 23411, 3808, 519, 18459, 543, 1010, 1007, 1583, 325, 538, 513, 32540, 4579, 543, 3989, 519, 2474, 540, 741, 6876, 269, 898, 781, 8037, 602, 950, 8474, 729, 1869, 1455, 267, 519, 27998, 941, 1454, 811, 1863, 982, 2663, 563, 2414, 2226, 741, 23693, 519, 28753, 531, 12075, 543, 519, 14082, 941, 1360, 1114, 269, 5395, 325, 3256, 729, 8915, 569, 711, 2324, 269, 9050, 2395, 829, 3018, 829, 7622, 538, 519, 476, 1704, 628, 2540, 269, 1230, 2784, 267, 634, 9552, 540, 19384, 8474, 267, 476, 6977, 271, 1765, 6642, 279, 476, 3192, 273, 533, 269, 9181, 519, 2101, 10486, 543, 3604, 1063, 8474, 538, 519, 5643, 545, 553, 543, 678, 11701, 1583, 325, 3256, 4438, 27245, 4341, 267, 6739, 27998, 941, 1863, 6705, 609, 513, 3656, 2990, 9120, 547, 1583, 12028, 540, 519, 19744, 5736, 269, 769, 12821, 2317, 267, 681, 2378, 6130, 282, 700, 4673, 267, 6742, 27713, 269, 634, 1500, 8275, 602, 6576, 729, 1100, 3476, 513, 1390, 4108, 1379, 563, 13563, 10437, 676, 4334, 1185, 2484, 7864, 3255, 547, 7118, 741, 1378, 13848, 267, 941, 5110, 589, 2731, 3730, 13354, 1686, 540, 8474, 543, 1583, 325, 3256, 269, 932, 7865, 3122, 281, 31550, 14986, 21101, 13456, 269, 901, 3357, 856, 540, 519, 21654, 267, 543, 1312, 3310, 519, 22638, 1863, 532, 540, 1312, 269, 1717, 519, 1875, 268, 22146, 666, 1869, 581, 20665, 269, 594, 1589, 602, 781, 1018, 596, 5921, 269, 26681, 596, 267, 6862, 519, 1071, 539, 6002, 596, 3838, 621, 609, 786 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 713, 1184, 910, 519, 1909, 540, 6932, 3401, 538, 5026, 2359, 780, 5575, 267, 1577, 781, 2736, 1524, 1018, 834, 655, 1120, 532, 3401, 257, 1797, 269, 1452, 616, 1004, 945, 1397, 1390, 1761, 547, 1831, 2104, 3401, 538, 741, 2361, 269, 1358, 723, 6612, 267, 1983, 267, 543, 11428, 602, 5036, 873, 6306, 269, 1879, 621, 2501, 547, 5026, 2359, 267, 891, 6932, 3401, 960, 5702, 609, 9945, 899, 5204, 2350, 2224, 2160, 547, 3391, 543, 1489, 519, 1985, 5108, 540, 5026, 9946, 780, 3086, 267, 596, 1522, 2307, 267, 1018, 1281, 513, 5026, 9614, 1256, 798, 286, 589, 5026, 9614, 814, 1082, 9021, 267, 855, 930, 1455, 4247, 1331, 1384, 272, 269, 853, 11691, 5483, 827, 519, 5767, 3466, 538, 519, 5026, 2872, 454, 273, 269, 29955, 1265, 3255, 585, 1483, 8996, 1995, 998, 22631, 4721, 267, 1316, 545, 4548, 267, 543, 824, 3785, 454, 274, 269, 19457, 741, 6791, 543, 2833, 547, 948, 1866, 1451, 454, 275, 269, 26472, 519, 1871, 543, 2956, 540, 2069, 1369, 741, 2950, 692, 4131, 781, 4685, 4514, 883, 1142, 5539, 1210, 1187, 1806, 2439, 1262, 1805, 11691, 769, 11526, 6168, 12367, 4373, 5331, 596, 2648, 4730, 3381, 3756, 8013, 569, 269, 1411, 1246, 782, 519, 1283, 32266, 267, 4585, 2661, 12535, 267, 543, 7119, 538, 2228, 4663, 23788, 269, 3767, 4952, 952, 2576, 4280, 596, 799, 3014, 729, 2469, 547, 581, 2442, 1985, 1032, 610, 1018, 1007, 2029, 1131, 1689, 11080, 11014, 269, 1677, 2626, 1346, 2055, 8308, 267, 596, 991, 547, 3251, 8242, 593, 3377, 267, 10124, 267, 543, 2242, 8345, 538, 519, 11080, 1158, 780, 1103, 5026, 2359, 267, 621, 1568, 13974, 269, 24021, 3401, 7683, 1413, 856, 585, 10593, 543, 7760, 538, 2127, 971, 607, 19002, 2866, 2553, 267, 10178, 6278, 2994, 267, 1514, 2923, 5867, 267, 610, 30806, 4066, 269, 1635, 3257, 865, 267, 789, 2327, 1312, 2933, 543, 14971, 5026, 9946, 2611, 4143, 543, 5499, 780, 1262, 13900, 4771, 4855, 19662, 4373, 13914, 1394, 547, 950, 596, 1101, 8678, 513, 5026, 2319, 693, 1153, 269, 1215, 1705, 596, 1745, 950, 596, 20639, 707, 1101, 3804, 610, 4465, 707, 1101, 6474, 286, 29055, 267, 1318, 286, 2334, 10761, 9327, 1405, 581, 2009, 1510, 19393, 267, 30157, 267, 543, 25696, 4543, 1711, 1346, 12300, 8090, 269, 8528, 20118, 267, 5026, 9946, 1404, 513, 1713, 1909, 538, 5935, 519, 11678, 540, 9845, 543, 8284, 4648, 676, 25786, 3407, 1565, 2833, 269, 1280, 3236, 267, 8220, 1053, 609, 22631, 4721, 2636, 873, 547, 4019, 4928, 4245, 18374, 1247, 2679, 4296, 538, 519, 2872, 269, 1306, 606, 6932, 6205, 267, 13057, 1053, 2509, 5078, 3255, 666, 3648, 1764, 741, 2208, 543, 1967, 780, 1262, 4537, 2130, 16869, 1047, 1299, 23800, 4373, 22428, 596, 4362, 513, 9735, 1433, 3126, 602, 1500, 2542, 811, 11791, 982, 2479, 1354, 269, 14348, 333, 1405, 596, 1616, 547, 2671, 621, 609, 2828, 865, 789, 1932, 1223, 2972, 519, 2984, 2496, 28770, 3101, 3401, 538, 5026, 2359, 849, 3494, 538, 4687, 741, 1378, 15322, 543, 4030, 6591, 2059, 519, 1259, 269, 6787, 9306, 15872, 267, 16475, 11925, 267, 610, 29013, 2043, 267, 891, 4810, 4648, 1683, 6667, 543, 4052, 5796, 1759, 593, 2123, 10781, 543, 2591, 5185, 1282, 741, 4876, 780, 1262, 23220, 7627, 4065, 10738, 18877, 4373, 7661, 267, 1589, 827, 3610, 267, 3237, 267, 543, 12543, 945, 5000, 15400, 1565, 269, 4256, 3646, 18663, 721, 547, 16111, 4228, 938, 20030, 543, 1332, 6457, 1302, 780, 10387, 6819, 713, 2623, 267, 6932, 3401, 12167, 585, 2362, 2069, 538, 5026, 2359, 3292, 269, 1358, 11168, 922, 4644, 1317, 1134, 268, 14445, 730, 4648, 3565, 9797, 547, 519, 2949, 1646, 540, 519, 5026, 5823, 269, 3958, 267, 10825, 4656, 827, 519, 2640, 540, 13197, 2298, 2069, 11942, 7279, 1851, 7820, 5481, 543, 26182, 873, 547, 11654, 2147, 10092, 780, 2414, 2040, 909, 267, 6932, 3401, 538, 5026, 2359, 4196, 607, 1898, 22225, 5885, 519, 2208, 543, 4720, 540, 519, 5026, 2872, 269, 3414, 3466, 23293, 267, 4316, 5137, 267, 5578, 4687, 267, 543, 3872, 13319, 267, 789, 17362, 519, 1259, 585, 14971, 5026, 9946, 547, 8011, 538, 713, 6422, 2361, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 5204, 2350, 2224, 2160, 24021, 24285, 7027, 630, 5085, 290, 264, 6818, 607, 513, 4295, 1895, 540, 519, 22505, 5004, 4972, 779, 1034, 8149, 543, 9565, 1762, 620, 30282, 602, 616, 5059, 593, 3246, 5583, 538, 1585, 2081, 547, 1699, 22505, 5004, 267, 22505, 24630, 267, 543, 22505, 10469, 826, 543, 7926, 5004, 1053, 269, 901, 5583, 2882, 9363, 538, 19820, 609, 519, 3466, 540, 519, 7328, 2872, 282, 21528, 609, 1698, 7723, 267, 1316, 32337, 267, 543, 22631, 1222, 1747, 906, 282, 543, 1373, 2178, 15156, 585, 519, 4081, 1982, 538, 741, 2146, 563, 763, 5692, 540, 519, 24021, 24285, 7027, 568, 547, 18973, 674, 1779, 5441, 4972, 540, 22505, 5004, 1053, 538, 14966, 609, 12200, 543, 5234, 267, 519, 10615, 540, 1325, 30282, 543, 15638, 267, 519, 19608, 25760, 585, 21992, 618, 267, 543, 519, 25760, 540, 674, 1779, 5441, 538, 18129, 547, 2417, 519, 7580, 6859, 540, 519, 2852, 269, 634, 14643, 568, 547, 4217, 609, 7041, 540, 519, 1985, 5108, 540, 22505, 5004, 620, 30282, 267, 547, 16491, 873, 609, 519, 2645, 2556, 547, 581, 3811, 4648, 563, 268, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 288, 9490, 13442, 3957, 7705, 1185, 1175, 8452, 593, 513, 1007, 4541, 1572, 3047, 269, 2701, 729, 9599, 547, 2263, 713, 1007, 1158, 267, 855, 1352, 3533, 7691, 602, 3425, 941, 1114, 689, 1200, 2186, 269, 1358, 6410, 8335, 267, 12038, 8335, 267, 543, 2170, 539, 609, 1142, 824, 538, 2081, 1352, 7948, 1405, 1174, 780, 3080, 1554, 267, 1247, 29595, 998, 513, 1507, 4884, 538, 519, 10239, 267, 7705, 16686, 2390, 513, 11018, 540, 3425, 945, 8604, 547, 581, 11981, 2933, 269, 1703, 941, 10477, 512, 757, 1305, 909, 10876, 267, 543, 1004, 21039, 538, 782, 12204, 540, 24853, 15336, 1472, 267, 28617, 543, 22551, 532, 269, 30985, 267, 7705, 4956, 547, 8495, 2417, 780, 2026, 1352, 14059, 835, 540, 519, 512, 757, 267, 513, 1895, 540, 3425, 14376, 1200, 3330, 269, 634, 17895, 729, 4158, 543, 16081, 6244, 267, 855, 972, 941, 1166, 4770, 8279, 543, 10978, 2575, 4730, 269, 22582, 267, 513, 19619, 540, 3425, 9849, 13968, 3357, 856, 267, 530, 3058, 741, 7916, 3552, 569, 607, 789, 546, 2331, 1472, 1200, 269, 3399, 1194, 267, 7705, 29860, 1394, 267, 18516, 540, 1018, 729, 8345, 780, 257, 10673, 1405, 581, 12922, 2437, 1767, 835, 540, 519, 3425, 269, 834, 2171, 2811, 1934, 547, 7038, 596, 256, 901, 568, 938, 1286, 333, 2526, 3010, 8334, 6743, 1472, 267, 3843, 547, 1118, 2631, 540, 3388, 269, 2701, 4718, 9490, 6191, 602, 838, 684, 543, 27390, 267, 18530, 3425, 883, 519, 2011, 269, 2701, 4862, 3458, 4461, 4947, 689, 1776, 851, 540, 519, 1286, 333, 2526, 267, 4553, 676, 552, 24809, 17409, 780, 30948, 616, 1346, 1919, 8119, 4280, 7705, 267, 15738, 547, 519, 18343, 6191, 780, 257, 17829, 616, 26055, 10590, 14452, 519, 1480, 269, 834, 5445, 8095, 543, 6335, 543, 2490, 267, 4758, 596, 513, 26497, 899, 4986, 3116, 3010, 10501, 1190, 267, 7705, 6172, 5523, 5196, 835, 540, 519, 26055, 269, 898, 3323, 3001, 7444, 693, 1101, 267, 1287, 13603, 909, 3432, 2394, 1352, 5433, 899, 1352, 1522, 8038, 1055, 269, 1809, 3079, 267, 1352, 561, 13774, 1117, 543, 3458, 3139, 7258, 519, 824, 3425, 267, 4743, 17938, 1791, 730, 543, 9800, 780, 5475, 1189, 267, 7705, 8268, 930, 540, 519, 824, 512, 757, 269, 2290, 729, 4904, 609, 3756, 267, 1141, 3425, 6836, 547, 3094, 28077, 2831, 676, 19184, 532, 14034, 936, 14569, 610, 15246, 9072, 269, 6271, 17895, 12286, 513, 3942, 267, 1141, 3425, 2322, 593, 2982, 5473, 9059, 15361, 543, 2192, 16272, 780, 3719, 519, 1034, 10578, 17895, 540, 782, 729, 13042, 834, 295, 528, 2928, 5600, 1701, 1306, 7705, 22283, 3330, 267, 1352, 5612, 8068, 1945, 729, 1114, 269, 634, 4055, 729, 27452, 1396, 267, 609, 25865, 933, 2125, 16304, 689, 519, 18109, 543, 9490, 7068, 30443, 6362, 538, 519, 20224, 780, 306, 19488, 267, 513, 1688, 6603, 856, 543, 10544, 5523, 7705, 781, 6186, 269, 2701, 586, 601, 6244, 538, 9983, 267, 1152, 547, 8275, 602, 621, 729, 1175, 1776, 1480, 538, 28076, 269, 8625, 267, 789, 5887, 3293, 4514, 883, 519, 3520, 5558, 32261, 873, 780, 4263, 1169, 2490, 267, 7705, 11402, 32049, 24738, 910, 7729, 30416, 8375, 689, 30401, 267, 15293, 569, 15457, 1431, 13735, 538, 4571, 1515, 267, 1256, 513, 9649, 17178, 17875, 1782, 4724, 1200, 269, 3962, 942, 267, 1352, 695, 686, 2131, 539, 543, 804, 2426, 547, 519, 14282, 1480, 585, 4313, 780, 7661, 267, 1310, 1018, 5433, 899, 3108, 540, 1373, 18901, 3368, 547, 2669, 267, 7705, 7153, 689, 519, 9710, 2928, 5600, 267, 533, 13589, 543, 1726, 3387, 1782, 269, 1677, 1200, 993, 10270, 618, 267, 1352, 1336, 9887, 1989, 15619, 1274, 547, 1274, 269, 6736, 875, 17512, 1881, 1352, 1185, 1044, 267, 1352, 7948, 1405, 20912, 602, 1352, 1185, 10150, 1169, 4090, 780, 5804, 602, 1554, 4464, 267, 7705, 2968, 513, 2834, 7390, 2465, 540, 891, 9490, 19771, 269, 2701, 4121, 811, 827, 1480, 2528, 267, 1500, 1007, 2828, 267, 543, 4810, 1312, 4250, 543, 7772, 899, 2760, 1354, 269, 1656, 4352, 1352, 1869, 4769, 1405, 4628, 1174, 1946, 3425, 6068, 1373, 18901, 865, 1454, 267, 1352, 6785, 602, 1352, 4941, 547, 581, 513, 851, 540, 621, 1932, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 23192, 3370, 693, 281, 4179, 2517, 613, 2131, 1492, 2805, 3820, 270, 21459, 11060, 1575, 3146, 557, 4705, 16519, 268, 1708, 273, 2389, 749, 584, 728, 268, 1817, 2928, 1606, 6011, 13045, 24867, 21822, 7838, 22432, 267, 2910, 1107, 5239, 476, 277, 267, 476, 1708, 273, 2567, 2060, 948, 689, 12548, 2828, 28349, 14114, 543, 741, 3950, 968, 294, 9994, 779, 2598, 1723, 5608, 15681, 584, 728, 9710, 2928, 8058, 12628, 513, 911, 8814, 2221, 3045, 23395, 519, 2407, 1982, 585, 922, 476, 1724, 628, 4670, 13037, 267, 16516, 585, 5239, 476, 1691, 268, 1626, 267, 476, 1708, 273, 538, 519, 1187, 5652, 543, 2189, 5599, 2389, 29354, 1606, 7288, 4884, 540, 15681, 584, 728, 267, 12548, 630, 324, 4582, 269, 476, 279, 267, 16020, 12664, 1916, 1607, 1032, 779, 1982, 2934, 513, 7347, 3486, 1899, 1575, 609, 519, 5767, 543, 1655, 16897, 8874, 689, 476, 1428, 2477, 1472, 519, 1158, 267, 609, 3875, 19971, 543, 5641, 543, 12284, 2818, 538, 1268, 269, 29934, 4315, 786, 723, 513, 4960, 547, 2743, 21035, 10828, 1849, 842, 20999, 693, 11016, 779, 10979, 21115, 600, 4317, 267, 1141, 646, 3580, 581, 1085, 334, 14563, 4672, 8645, 1354, 519, 13037, 779, 27164, 1982, 540, 594, 4753, 595, 3918, 4456, 631, 3198, 609, 1627, 26031, 4843, 676, 966, 710, 3258, 15540, 269, 10426, 25963, 786, 849, 581, 2111, 547, 1449, 741, 16897, 7260, 1702, 593, 10732, 1282, 674, 2431, 610, 654, 3994, 779, 9710, 2928, 2558, 14746, 267, 1141, 5716, 616, 9415, 512, 6231, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9710, 2928, 1315, 11511, 788, 344, 2961, 333, 2526, 14727, 1844, 639, 9710, 5558, 267, 547, 606, 9813, 3957, 7705, 602, 1175, 15354, 593, 3618, 543, 814, 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, 606, 9813, 609, 1100, 1702, 827, 3618, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 1684, 711, 1289, 7705, 606, 9813, 269, 0, 5149, 7170, 281, 19484, 9977, 16644, 843, 9442, 998, 8479, 16989, 27140, 692, 7072 ]

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

[ 1164, 7907, 538, 19920, 849, 269, 16480, 267, 930, 4639, 590, 9200, 1014, 5487, 1731, 553, 666, 2097, 547, 581, 679, 2365, 540, 19920, 543, 1453, 602, 616, 7000, 1445, 676, 741, 10820, 610, 32388, 832, 269, 9603, 547, 519, 1249, 602, 789, 616, 13991, 547, 741, 1920, 267, 789, 1522, 1294, 1445, 7000, 547, 19920, 607, 606, 16315, 540, 20247, 5819, 1399, 689, 741, 32388, 832, 269, 5221, 540, 713, 5168, 267, 4639, 590, 9200, 1014, 5487, 1731, 553, 666, 7119, 538, 20935, 610, 5739, 3527, 547, 1205, 1445, 1394, 563, 291, 9233, 5381, 547, 519, 4639, 590, 9200, 1014, 5487, 11986, 454, 291, 690, 2010, 899, 519, 4639, 590, 9200, 1014, 5487, 11986, 2874, 540, 912, 268, 25227, 1975, 6308, 1107, 901, 1826, 11338, 2501, 689, 6576, 2943, 13978, 538, 18940, 2221, 269, 1358, 616, 513, 10478, 2915, 899, 519, 4639, 590, 9200, 1014, 5487, 11986, 543, 616, 6956, 585, 741, 3303, 1243, 543, 12391, 1164, 7907, 563, 268, 962, 752, 583, 1014, 5487, 11986, 1107, 901, 2915, 568, 513, 4990, 540, 5487, 11986, 1826, 899, 519, 5375, 590, 9200, 1014, 5487, 11986, 1358, 616, 521, 1194, 267, 1200, 3429, 267, 543, 10478, 5243, 689, 27584, 4997, 269, 1358, 616, 11338, 1360, 2653, 547, 13599, 607, 513, 1267, 540, 741, 1164, 1702, 563, 268, 590, 9200, 1014, 26036, 5652, 1107, 590, 9200, 1014, 670, 23677, 625, 616, 521, 1194, 5243, 689, 29036, 5607, 269, 901, 1826, 5932, 606, 11108, 1920, 2915, 2943, 2115, 513, 2603, 540, 909, 18141, 543, 1445, 1175, 899, 519, 4639, 590, 9200, 1014, 5487, 11986, 563, 28082, 18780, 585, 4639, 590, 9200, 1014, 5487, 1731, 553, 454, 28082, 4408, 585, 5256, 4639, 590, 9200, 1014, 5487, 1731, 553, 616, 912, 28082, 4408, 585, 4775, 4639, 590, 9200, 1014, 5487, 1731, 553, 616, 281, 0, 6701, 649, 1869, 538, 5084, 286, 5871, 16527, 630, 4753, 282, 5824, 281, 513, 5028, 5175, 3258, 529, 264, 568, 513, 1505, 1031, 547, 2697, 513, 1032, 269, 2560, 9460, 568, 606, 4244, 547, 519, 5084, 267, 1062, 1031, 676, 10271, 855, 519, 2338, 616, 519, 1482, 281, 713, 1032, 568, 476, 1708, 272, 9460, 610, 8449, 5084, 476, 1708, 272, 630, 8117, 2356, 649, 1175, 2161, 16938, 713, 1032, 568, 476, 1708, 272, 9732, 1040, 5084, 568, 606, 28008, 540, 5824, 281, 3045, 334, 2531, 7236, 267, 1396, 269, 2048, 20204, 540, 519, 18459, 17483, 1432, 1032, 568, 476, 4335, 5084, 888, 763, 2495, 540, 589, 6185, 269, 543, 645, 5861, 563, 288, 6185, 269, 6763, 585, 1323, 7224, 12358, 7236, 267, 799, 568, 5824, 585, 968, 20204, 540, 938, 7083, 2223, 543, 621, 1797, 519, 1297, 540, 1296, 2094, 519, 4332, 540, 4906, 2441, 269, 2334, 729, 513, 2370, 811, 982, 476, 1220, 271, 1296, 3516, 267, 865, 519, 4266, 476, 4335, 589, 6185, 269, 1797, 476, 4335, 1296, 1310, 476, 1220, 271, 1296, 3516, 267, 610, 513, 2370, 811, 982, 476, 5611, 271, 1296, 3516, 563, 7617, 740, 1032, 568, 476, 1708, 271, 888, 6624, 1004, 1131, 2995, 596, 713, 568, 519, 1032, 589, 6185, 269, 476, 1708, 271, 269, 11524, 1522, 1289, 621, 519, 1032, 476, 1708, 271, 595, 9950, 269, 2368, 1131, 2161, 621, 779, 519, 1032, 476, 5325, 272, 279, 267, 476, 13893, 272, 267, 610, 1256, 476, 276, 4281, 271, 256, 898, 782, 5673, 593, 799, 540, 519, 1158, 779, 1082, 30300, 1513, 596, 2461, 2542, 269, 4653, 267, 1034, 2477, 946, 519, 15535, 20187, 11706, 607, 741, 3540, 11706, 563, 1692, 2025, 729, 4906, 950, 5747, 888, 763, 1390, 5354, 540, 10271, 10847, 454, 553, 519, 1651, 28271, 540, 2696, 519, 12312, 267, 519, 2034, 540, 1614, 7606, 540, 519, 27076, 563, 347, 4696, 476, 1789, 610, 476, 3451, 630, 3042, 476, 3451, 1700, 3607, 264, 13243, 267, 11662, 540, 7225, 20660, 267, 4936, 7276, 2008, 7617, 740, 568, 2221, 888, 13295, 267, 519, 1699, 1032, 568, 2854, 607, 476, 1708, 272, 538, 1312, 711, 725, 630, 528, 267, 952, 2417, 9355, 568, 2877, 267, 607, 476, 1708, 272, 9460, 267, 610, 607, 5084, 476, 1708, 272, 1070, 543, 519, 1032, 602, 24198, 5747, 568, 6719, 607, 476, 274, 4200, 14514, 630, 1492, 1482, 1032, 602, 568, 6719, 676, 476, 274, 4200, 7460, 538, 519, 7460, 270, 4696, 10035, 1916, 24078, 972, 513, 1032, 476, 271, 888, 288, 1032, 4642, 1281, 711, 2291, 538, 519, 1323, 7224, 12358, 7236, 630, 4696, 264, 11706, 1032, 1062, 4122, 1031, 547, 1297, 1296, 538, 519, 15535, 20187, 11706, 630, 24335, 538, 922, 31317, 267, 519, 30486, 11706, 5148, 538, 713, 1062, 267, 519, 1032, 476, 272, 7460, 568, 4553, 2047, 676, 1032, 5084, 476, 272, 269, 2560, 1656, 972, 568, 513, 1032, 4642, 538, 1034, 14418, 543, 9699, 30300, 1513, 563, 8005, 729, 4535, 538, 519, 1032, 476, 272, 888, 2690, 667, 542, 903, 3780, 267, 519, 4332, 540, 2441, 6719, 5729, 2290, 269, 1261, 5156, 602, 713, 7018, 476, 4037, 274, 1296, 1310, 519, 5748, 540, 7507, 563, 3963, 568, 7460, 1631, 1572, 14514, 888, 8245, 2952, 2322, 267, 14514, 630, 6524, 5871, 16527, 264, 568, 513, 16712, 4528, 540, 7460, 630, 29592, 2441, 1040, 9460, 630, 13349, 16527, 264, 568, 519, 16712, 6697, 540, 5084, 630, 2335, 334, 12358, 7236, 1070, 799, 1797, 968, 514, 519, 1032, 540, 519, 7083, 892, 538, 5824, 269, 2560, 14514, 270, 4753, 723, 1044, 538, 7928, 946, 676, 6014, 19174, 585, 811, 982, 476, 1911, 1296, 563, 2710, 649, 2661, 538, 7460, 610, 5084, 888, 763, 5375, 11706, 6645, 721, 649, 2661, 538, 476, 1001, 280, 267, 799, 568, 3006, 2854, 5084, 1001, 279, 269, 5084, 4016, 547, 3045, 334, 12358, 7236, 267, 513, 5824, 8360, 602, 1797, 968, 1492, 1032, 540, 519, 7083, 269, 9732, 634, 1296, 1354, 519, 4332, 540, 2441, 616, 22921, 18807, 689, 1010, 4332, 563, 1432, 21359, 616, 711, 8483, 1508, 676, 2696, 888, 1103, 519, 4168, 14644, 999, 267, 972, 616, 1614, 18627, 602, 1491, 909, 519, 1641, 540, 18894, 326, 22133, 5609, 269, 769, 519, 3883, 540, 15623, 630, 1321, 281, 476, 4029, 268, 3953, 1070, 649, 1224, 267, 16938, 4475, 594, 2161, 547, 596, 267, 1022, 5609, 543, 1025, 5684, 1335, 344, 4927, 581, 8483, 1508, 2367, 267, 855, 1025, 5684, 1335, 344, 1996, 519, 13336, 4927, 711, 581, 8483, 1508, 563, 12441, 4906, 723, 513, 1126, 888, 763, 1433, 602, 6811, 4906, 1185, 513, 7385, 543, 3214, 2443, 543, 519, 2377, 3430, 1194, 2278, 3297, 621, 269, 634, 4589, 1616, 547, 2911, 827, 2441, 269, 1358, 1616, 596, 547, 917, 602, 267, 12617, 9944, 5553, 540, 25749, 543, 24242, 267, 4906, 1185, 513, 5728, 7385, 267, 3957, 6307, 7395, 30445, 2940, 267, 543, 646, 3170, 22363, 1079, 1453, 609, 1200, 563, 8489, 1705, 4906, 12617, 888, 297, 28779, 2245, 17246, 1228, 19746, 1369, 519, 6821, 540, 513, 2749, 267, 543, 519, 717, 28145, 14574, 602, 4906, 729, 12617, 3544, 540, 13243, 267, 2282, 519, 3135, 540, 1010, 16961, 32267, 542, 593, 30110, 326, 1054, 320, 630, 26872, 519, 1747, 540, 15693, 338, 9732, 1916, 3674, 476, 1001, 280, 7460, 610, 5084, 888, 2414, 581, 5730, 267, 519, 1032, 1318, 1631, 1131, 581, 476, 1001, 280, 589, 6185, 269, 1284, 6003, 616, 1296, 609, 2901, 589, 6185, 269, 630, 6518, 6763, 585, 1323, 7224, 12358, 7236, 267, 610, 519, 968, 17413, 540, 938, 7083, 14615, 528, 645, 5861, 269, 630, 6518, 6763, 585, 968, 6524, 2441, 26158, 1924, 476, 1001, 280, 589, 6185, 269, 1131, 10199, 1611, 476, 1001, 280, 1296, 1310, 4906, 2441, 729, 4535, 563, 1432, 5949, 476, 272, 560, 7460, 888, 277, 7460, 1107, 476, 275, 7460, 281, 17510, 540, 4906, 540, 9294, 732, 628, 630, 5408, 20048, 1108, 540, 4906, 685, 4332, 543, 2669, 267, 1323, 7224, 12358, 7236, 267, 543, 5871, 16527, 585, 2417, 3877, 1040, 476, 275, 7460, 281, 7225, 20660, 24509, 539, 547, 519, 4936, 11662, 540, 16850, 1310, 519, 2669, 540, 3751, 4173, 617, 269, 2560, 476, 272, 7460, 281, 14890, 589, 328, 540, 12390, 10523, 543, 568, 16309, 676, 1010, 5216, 1032, 2025, 23013, 623, 532, 563, 24078, 972, 513, 1032, 476, 26116, 888, 17413, 476, 26116, 630, 291, 12710, 311, 9654, 264, 729, 513, 1455, 1032, 4358, 593, 13628, 630, 15062, 786, 4159, 519, 2407, 11706, 264, 540, 519, 30486, 11706, 269, 634, 21000, 1588, 476, 26116, 585, 713, 1032, 814, 1044, 1031, 2094, 519, 2038, 10120, 1974, 267, 950, 519, 1323, 7224, 12358, 7236, 11706, 5736, 2968, 519, 11342, 1505, 538, 2342, 585, 20803, 1296, 563, 2691, 1705, 3425, 1376, 10203, 1296, 888, 763, 1323, 7224, 12358, 7236, 6580, 1062, 729, 25282, 538, 476, 30589, 676, 667, 542, 903, 3780, 1401, 580, 340, 639, 547, 26246, 519, 1296, 538, 1010, 14914, 3349, 269, 3571, 1062, 729, 547, 5372, 519, 4144, 665, 2280, 1014, 5736, 602, 1185, 1044, 1031, 538, 606, 2025, 14914, 3349, 267, 607, 646, 1705, 711, 6999, 547, 3136, 519, 3965, 540, 513, 1119, 7949, 945, 30201, 3176, 10271, 563, 2691, 1705, 1032, 476, 272, 5084, 1376, 888, 2467, 568, 1100, 1032, 4642, 538, 713, 10325, 282, 3976, 519, 1032, 5084, 476, 272, 5612, 5205, 519, 1032, 476, 272, 7460, 269, 901, 6580, 1062, 729, 25282, 538, 476, 30589, 676, 667, 542, 903, 3780, 1401, 580, 340, 639, 540, 590, 1097, 628, 807, 19724, 267, 855, 729, 711, 4922, 1031, 2394, 519, 476, 280, 628, 2540, 563, 1692, 2025, 568, 513, 1126, 538, 1032, 476, 272, 888, 347, 21609, 779, 2085, 1475, 17413, 1475, 7659, 3942, 2008, 347, 274, 547, 476, 275, 1475, 15900, 1296, 2008, 347, 275, 547, 476, 276, 1475, 3725, 4003, 1475, 15900, 1296, 2008, 276, 547, 476, 277, 454, 347, 277, 547, 476, 278, 1475, 17413, 476, 273, 1475, 16775, 272, 2008, 3963, 568, 7460, 18886, 23651, 888, 23192, 5775, 26833, 281, 4208, 616, 1296, 1354, 2441, 630, 289, 5861, 4700, 18886, 23651, 286, 5221, 922, 513, 24794, 8826, 11706, 609, 519, 1376, 1448, 693, 1032, 476, 272, 540, 519, 15535, 20187, 11706, 543, 1590, 4061, 1293, 23651, 538, 1931, 547, 1118, 1022, 2631, 267, 1175, 899, 2942, 2338, 563, 1692, 1082, 1296, 616, 538, 7460, 888, 289, 5861, 269, 6763, 585, 16938, 1354, 2441, 267, 9732, 2495, 1354, 4906, 729, 4535, 269, 1924, 476, 6110, 645, 5861, 269, 1797, 476, 6110, 1296, 1354, 4906, 729, 4535, 269, 589, 6185, 269, 2501, 689, 519, 5824, 16938, 3045, 334, 12358, 7236, 267, 9732, 799, 1797, 16938, 538, 519, 1032, 540, 519, 7083, 269, 9732, 589, 6185, 269, 10039, 547, 1296, 1739, 519, 4332, 540, 4906, 563, 3674, 7460, 4587, 982, 740, 888, 2467, 568, 1100, 16938, 4642, 9732, 1032, 2443, 538, 713, 1062, 267, 519, 1032, 2441, 729, 4535, 568, 476, 272, 589, 6185, 1421, 543, 519, 1032, 18631, 621, 568, 476, 272, 645, 5861, 269, 901, 2259, 729, 1101, 6700, 538, 519, 15795, 2540, 589, 6185, 1421, 543, 729, 7550, 676, 519, 28831, 540, 602, 942, 563, 1432, 568, 519, 1032, 476, 272, 5084, 888, 4696, 476, 272, 630, 296, 1070, 476, 272, 5084, 610, 476, 272, 9460, 568, 519, 22184, 1032, 585, 519, 1323, 7224, 12358, 7236, 11706, 5736, 269, 898, 729, 519, 1101, 1032, 540, 519, 5871, 16527, 630, 4753, 1070, 540, 519, 476, 272, 560, 26992, 543, 540, 519, 476, 272, 560, 2540, 563, 1432, 616, 519, 476, 274, 10782, 21359, 888, 6097, 547, 519, 3044, 1592, 267, 789, 616, 454, 1440, 728, 267, 26846, 267, 32716, 267, 679, 11803, 267, 561, 755, 267, 22965, 2023, 344, 543, 1793, 1054, 454, 267, 799, 616, 14669, 547, 519, 5722, 31676, 21644, 563, 268, 5487, 1393, 1107, 4189, 1932, 1163, 13208, 563, 268, 2289, 328, 846, 1107, 4189, 1932, 546, 5593, 1176, 563, 268, 715, 574, 529, 1107, 4189, 1932, 1454, 563, 268, 16217, 788, 1886, 699, 1107, 4189, 1932, 4166, 563, 268, 1488, 4823, 518, 1107, 4189, 1932, 23362, 563, 1432, 568, 519, 835, 5609, 602, 2052, 2254, 581, 8483, 1508, 888, 3080, 18163, 610, 18894, 326, 22133, 5609, 630, 4565, 5684, 1335, 344, 1996, 519, 10513, 13336, 1070, 849, 1634, 607, 519, 5609, 21349, 2669, 267, 568, 9138, 538, 1896, 15102, 540, 519, 14271, 641, 6776, 717, 28145, 267, 1519, 4460, 476, 274, 281, 2764, 1700, 3066, 267, 15623, 476, 1321, 281, 4029, 1700, 3953, 267, 543, 19279, 476, 1321, 281, 1015, 267, 607, 1134, 607, 824, 1715, 11620, 15102, 1519, 1261, 3691, 9749, 476, 277, 281 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 899, 31331, 267, 5136, 600, 659, 732, 267, 543, 1482, 20967, 7365, 267, 1082, 1004, 2119, 547, 946, 2257, 547, 24772, 741, 7440, 269, 1656, 2094, 621, 779, 4742, 4443, 547, 1449, 543, 3715, 5013, 1765, 31347, 538, 6323, 267, 6530, 267, 610, 3609, 1765, 28236, 723, 9289, 1946, 9186, 543, 26445, 723, 711, 1044, 17204, 563, 299, 16479, 12096, 2329, 540, 9324, 3539, 519, 4856, 7758, 894, 1230, 329, 4233, 1315, 9324, 3539, 519, 4856, 7758, 894, 454, 2467, 616, 476, 1240, 1016, 31795, 923, 540, 834, 293, 718, 9313, 540, 14893, 9899, 1215, 666, 649, 917, 4376, 827, 4376, 286, 2334, 781, 519, 1483, 2243, 8298, 673, 12096, 2329, 540, 9324, 3539, 519, 4856, 7758, 894, 1230, 329, 4233, 1315, 9324, 3539, 519, 4856, 7758, 894, 9324, 3539, 519, 12633, 894, 14966, 568, 835, 540, 519, 1082, 1159, 10280, 920, 839, 602, 616, 1031, 547, 3382, 519, 1249, 602, 519, 7744, 568, 1759, 593, 835, 540, 519, 1614, 2887, 9313, 540, 3397, 23774, 320, 781, 2468, 12661, 2742, 269, 24269, 513, 9266, 2887, 2329, 568, 8149, 267, 519, 2887, 2329, 814, 922, 5072, 538, 3397, 23774, 320, 781, 2468, 12661, 2742, 563, 2026, 574, 990, 593, 1215, 547, 2142, 1160, 331, 881, 910, 20574, 294, 9130, 2593, 454, 3674, 320, 659, 1306, 574, 990, 729, 835, 540, 519, 1034, 30508, 4589, 945, 2479, 5030, 269, 14539, 936, 476, 4335, 2835, 267, 543, 5111, 476, 3445, 267, 1822, 5022, 936, 519, 1576, 540, 1010, 1272, 269, 12989, 616, 513, 4015, 540, 930, 540, 1010, 4388, 593, 2713, 513, 30508, 1272, 454, 12749, 476, 736, 8298, 673, 12096, 9313, 910, 634, 28024, 696, 923, 262, 6651, 547, 519, 17807, 454, 7072, 547, 21261, 12856, 540, 513, 8298, 673, 21261, 6787, 649, 616, 29596, 3222, 540, 621, 610, 711, 267, 938, 7440, 782, 1246, 513, 1978, 2596, 2497, 269, 1358, 2253, 609, 835, 610, 811, 22402, 267, 799, 616, 5013, 602, 519, 4661, 3217, 585, 11292, 607, 519, 4358, 1448, 269, 3973, 513, 6240, 540, 7954, 568, 4294, 538, 1931, 547, 2097, 547, 513, 3932, 563, 8266, 540, 2887, 9313, 454, 288, 2887, 2329, 568, 11234, 4661, 538, 7954, 543, 20116, 4611, 538, 513, 3668, 540, 14496, 267, 610, 811, 3622, 267, 513, 3668, 540, 3280, 1145, 269, 12096, 9313, 616, 2901, 6101, 2887, 9313, 610, 13016, 2887, 9313, 269, 31131, 2887, 9313, 454, 8110, 2739, 3070, 2887, 2329, 454, 2421, 7033, 670, 8973, 968, 763, 3501, 568, 519, 10546, 540, 519, 1434, 1848, 2443, 5292, 3279, 790, 968, 301, 984, 1328, 1500, 513, 3152, 12161, 982, 646, 945, 1705, 4986, 1317, 646, 1223, 798, 1152, 513, 2370, 1848, 1107, 31611, 8738, 651, 634, 17828, 8827, 12096, 2329, 630, 10193, 1634, 607, 519, 2048, 301, 597, 341, 3570, 12096, 2329, 8072, 264, 568, 513, 7301, 27524, 30315, 602, 4386, 950, 606, 4661, 17648, 602, 513, 3501, 3070, 547, 513, 1966, 6818, 543, 5924, 602, 513, 6069, 3070, 1058, 581, 15653, 1317, 930, 851, 540, 519, 1966, 1131, 1869, 2291, 1310, 621, 941, 8045, 563, 26855, 3701, 585, 519, 6228, 540, 2696, 454, 11372, 12855, 13115, 1670, 7440, 15328, 332, 1670, 7440, 918, 15401, 14421, 1670, 4661, 634, 2832, 540, 713, 4661, 568, 547, 1397, 602, 519, 7122, 1185, 513, 4098, 538, 519, 13113, 2250, 269, 634, 4661, 12959, 1996, 519, 6228, 540, 606, 12808, 267, 13796, 1036, 816, 540, 2250, 2621, 799, 10522, 513, 7122, 602, 814, 28222, 11478, 563, 257, 18800, 540, 9085, 257, 772, 310, 5336, 611, 2581, 5675, 4741, 27752, 781, 18361, 454, 1432, 568, 513, 2689, 540, 3332, 286, 634, 3898, 540, 513, 2689, 540, 3332, 949, 4268, 689, 9015, 547, 9015, 543, 689, 7084, 547, 7084, 269, 589, 2689, 949, 581, 513, 1582, 8410, 22633, 1770, 4534, 606, 1439, 538, 3294, 4534, 610, 513, 840, 2183, 547, 543, 24117, 585, 2502, 538, 3119, 1382, 563, 25618, 625, 585, 2565, 3206, 538, 1565, 267, 3487, 594, 454, 1320, 9722, 543, 11291, 3126, 11150, 585, 2565, 3206, 538, 1565, 543, 1788, 2359, 11879, 3206, 2090, 513, 1888, 610, 1966, 609, 1930, 16490, 1145, 20136, 3635, 14592, 519, 1101, 3942, 540, 7311, 513, 2565, 3206, 1935, 547, 3384, 543, 1620, 513, 1888, 269, 0, 6826, 2246, 344, 568, 606, 7493, 1523, 602, 814, 1044, 513, 1888, 540, 7521, 585, 5553, 269, 1306, 513, 2486, 267, 649, 616, 7683, 10514, 12023, 609, 2592, 540, 1018, 568, 2808, 4190, 267, 543, 713, 814, 3366, 1082, 547, 2243, 519, 3020, 2495, 540, 5898, 269, 2755, 972, 568, 1100, 2582, 4214, 540, 5898, 267, 1082, 1004, 3494, 602, 5898, 568, 811, 982, 1175, 5920, 1107, 621, 568, 513, 8086, 540, 835, 779, 6418, 1582, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 9759, 540, 5898, 543, 1946, 621, 568, 865, 1271, 547, 9784, 621, 538, 938, 2729, 563, 273, 269, 25925, 568, 2859, 20537, 16164, 12213, 454, 4407, 2168, 5920, 949, 7620, 4482, 3007, 267, 3020, 5898, 6013, 9944, 519, 2627, 269, 898, 568, 519, 1259, 649, 1521, 1866, 267, 938, 2418, 267, 543, 938, 18653, 602, 5963, 5581, 721, 269, 25925, 568, 849, 827, 2348, 6015, 538, 13951, 267, 1256, 538, 519, 3068, 540, 14488, 269, 1879, 649, 2234, 5573, 6418, 5898, 267, 621, 666, 581, 2938, 538, 519, 1259, 649, 4163, 6000, 543, 2170, 609, 1866, 269, 898, 568, 713, 6418, 5898, 602, 814, 519, 1379, 547, 8300, 543, 10575, 3424, 1866, 563, 274, 269, 634, 5295, 540, 8682, 6441, 913, 454, 3080, 540, 519, 1034, 1271, 3344, 540, 8508, 835, 779, 5898, 568, 1582, 2000, 913, 269, 1284, 1419, 7340, 602, 649, 616, 782, 2189, 2043, 543, 602, 938, 20541, 687, 1118, 721, 945, 649, 616, 269, 8682, 2000, 913, 568, 827, 9301, 543, 16561, 938, 20924, 267, 543, 14120, 938, 9342, 269, 1879, 649, 1451, 547, 2648, 6000, 267, 621, 10987, 4443, 547, 2648, 1866, 543, 547, 1294, 519, 5898, 538, 519, 1158, 1472, 721, 563, 275, 269, 28740, 25925, 3414, 9877, 1145, 454, 30747, 1145, 568, 513, 3532, 1907, 602, 666, 948, 721, 2234, 5573, 6418, 5898, 269, 1879, 649, 1397, 11587, 547, 1866, 267, 621, 666, 8300, 873, 547, 798, 519, 1482, 267, 2870, 513, 678, 21451, 1198, 540, 25273, 269, 11822, 6411, 540, 11587, 267, 971, 607, 8066, 519, 7450, 1930, 585, 2576, 610, 5356, 513, 12837, 267, 666, 6505, 523, 2576, 779, 1554, 543, 4734, 513, 9434, 1764, 269, 1879, 649, 1118, 513, 6857, 4674, 547, 581, 2186, 267, 649, 13520, 811, 13730, 267, 28450, 267, 543, 4190, 2043, 563, 276, 269, 26875, 1944, 28740, 25925, 454, 1103, 513, 1158, 602, 1419, 12662, 513, 1164, 1871, 593, 2168, 5920, 267, 621, 568, 1271, 547, 4225, 6418, 5898, 269, 901, 1797, 1818, 513, 6857, 4674, 547, 2259, 1582, 2000, 913, 267, 11587, 267, 543, 6612, 2509, 6000, 543, 1866, 269, 1879, 649, 1445, 593, 14237, 6418, 5898, 267, 649, 13520, 811, 8746, 267, 24009, 267, 543, 7524, 269, 1284, 2253, 547, 1294, 519, 1158, 538, 513, 1114, 1769, 543, 4482, 2318, 2833, 543, 2043, 883, 938, 2729, 563, 1103, 9759, 267, 5898, 568, 811, 982, 1175, 2960, 2620, 269, 898, 568, 827, 8508, 835, 779, 22464, 267, 8026, 1582, 2000, 913, 267, 543, 10237, 908, 11587, 2509, 1866, 269, 1879, 649, 4225, 6418, 5898, 538, 938, 2729, 267, 649, 13520, 811, 4190, 2043, 267, 1312, 3330, 543, 856, 269, 898, 568, 1271, 547, 3314, 602, 5898, 568, 16148, 543, 602, 938, 3604, 1058, 581, 9976, 267, 711, 24565, 269, 1635, 8508, 938, 6418, 5898, 267, 649, 666, 1118, 513, 2318, 1764, 593, 519, 1158, 543, 1711, 513, 1272, 4904, 609, 2648, 543, 8788, 269, 0, 1432, 568, 6252, 1143, 630, 514, 7384, 25145, 13640, 5537, 1143, 538, 7384, 4016, 547, 2553, 602, 1118, 513, 1982, 5488, 676, 3257, 1082, 1107, 7366, 547, 6634, 1107, 540, 4238, 8195, 269, 898, 568, 513, 13654, 6240, 540, 7856, 7384, 267, 3684, 1565, 267, 543, 1617, 603, 1348, 539, 5752, 1317, 621, 6087, 23501, 267, 1239, 6887, 267, 543, 3156, 547, 10994, 1804, 2042, 676, 8840, 873, 1524, 883, 4130, 267, 4830, 4247, 269, 898, 1419, 3340, 8800, 1804, 10070, 540, 1970, 1942, 8800, 2436, 621, 581, 24352, 648, 21932, 610, 13763, 538, 513, 12440, 563, 2467, 616, 1896, 5383, 547, 6252, 1143, 538, 7384, 269, 898, 666, 581, 1447, 14427, 543, 1447, 942, 21791, 1317, 1896, 2200, 616, 2324, 1927, 693, 835, 942, 269, 769, 1840, 267, 621, 666, 581, 811, 4052, 547, 4194, 1804, 2042, 676, 8840, 873, 1524, 883, 4130, 4773, 269, 0, 30399, 267, 14830, 12579, 723, 4330, 1715, 4446, 333, 15540, 607, 7133, 519, 521, 3298, 267, 25210, 267, 543, 1710, 29913, 563, 306, 3298, 281, 31177, 267, 21721, 267, 543, 11876, 1993, 2042, 269, 634, 7074, 2014, 540, 891, 2042, 568, 519, 1309, 755, 545, 2470, 540, 1007, 6405, 267, 4929, 513, 2960, 5114, 593, 519, 5377, 540, 519, 3723, 21181, 563, 22102, 18015, 538, 519, 14950, 2049, 3850, 4551, 547, 4283, 883, 519, 3662, 779, 1560, 4929, 4745, 3968, 538, 519, 19704, 267, 17094, 956, 543, 25637, 563, 4415, 713, 22917, 8864, 267, 12696, 7985, 9271, 538, 2474, 540, 2799, 30889, 524, 1638, 532, 2557, 267, 9960, 2042, 267, 543, 824, 2359, 7965, 563, 31995, 543, 5685, 5109, 670, 9233, 912, 6124, 4446, 333, 15540, 814, 1044, 4080, 547, 849, 2014, 2766, 24146, 267, 543, 1274, 24146, 538, 3395, 543, 18138, 554, 9233, 269, 1160, 3027, 619, 7985, 9271, 689, 1715, 4446, 333, 15540, 538, 519, 3395, 543, 18138, 5933, 1813, 547, 2799, 524, 1638, 532, 540, 2831, 1317, 540, 2766, 24146, 267, 1274, 24146, 543, 22917, 8864, 563, 32546, 616, 711, 2386, 1946, 519, 6464, 538, 519, 1007, 6405, 949, 2014, 1274, 24146, 543, 2766, 24146, 538, 3395, 14918, 269, 634, 22917, 8864, 538, 3395, 14918, 568, 3361, 676, 519, 1482, 2601, 5018, 4505, 609, 519, 521, 3298, 563, 2750, 12371, 32460, 3046, 985, 666, 581, 18233, 543, 20177, 609, 10323, 3201, 268, 3951, 22493, 1530, 531, 656, 547, 948, 2061, 4551, 19221, 538, 519, 22405, 540, 519, 6405, 3976, 7303, 22917, 8864, 2042, 563, 10345, 3201, 268, 3951, 22493, 1530, 531, 656, 20910, 1055, 713, 1309, 755, 545, 3114, 689, 3346, 609, 519, 3723, 25247, 2960, 267, 799, 3947, 4027, 1996, 22917, 8864, 563, 6124, 4446, 333, 15540, 568, 513, 3510, 596, 1810, 1406, 1616, 547, 1491, 1022, 8458, 609, 269, 13555, 519, 10323, 3201, 268, 3951, 2319, 540, 4966, 945, 666, 2708, 596, 0, 1432, 568, 519, 3854, 540, 519, 2136, 2276, 888, 268, 6115, 267, 667, 5861, 563, 6344, 269, 7316, 568, 519, 6465, 826, 540, 23068, 888, 268, 1715, 3840, 630, 19604, 4011, 994, 268, 23068, 6816, 1496, 9827, 11807, 616, 1715, 14948, 267, 2282, 1715, 3840, 4975, 267, 543, 593, 519, 23747, 630, 305, 1853, 994, 13199, 269, 4208, 1281, 519, 9206, 723, 476, 1724, 26145, 286, 20330, 268, 630, 10303, 972, 941, 264, 476, 1724, 3312, 10125, 454, 268, 630, 10303, 519, 26145, 264, 2099, 519, 3312, 10125, 454, 14338, 269, 4208, 1281, 519, 9206, 723, 476, 2004, 6801, 888, 268, 630, 10303, 972, 568, 264, 835, 5182, 585, 1142, 1533, 454, 268, 630, 10303, 264, 1142, 5182, 4564, 513, 1533, 454, 268, 630, 10303, 972, 616, 264, 476, 2004, 2829, 454, 11277, 269, 1548, 568, 519, 2012, 540, 519, 3084, 1884, 1335, 888, 268, 634, 10060, 4149, 335, 22931, 14465, 1676, 454, 14862, 269, 634, 13780, 779, 1101, 2138, 1729, 729, 968, 292, 1773, 584, 756, 639, 1133, 636, 1848, 1548, 1281, 602, 1611, 888, 268, 4934, 540, 1082, 267, 835, 454, 268, 1284, 782, 1831, 835, 454, 10219, 269, 1548, 568, 14412, 4303, 888, 268, 589, 9702, 547, 8661, 772, 2529, 269, 7115, 630, 5228, 6628, 994, 268, 634, 2197, 779, 14512, 454, 14695, 269, 8745, 1614, 3084, 772, 2529, 269, 14812, 269, 20330, 268, 1715, 5729, 779, 4303, 454, 268, 9410, 13162, 3751, 267, 12789, 269, 4303, 454, 268, 3465, 6342, 4303, 630, 29910, 779, 17510, 1485, 994, 268, 17341, 4303, 454, 268, 14412, 4303, 454, 268, 8534, 4303, 454, 268, 19090, 4303, 454, 268, 27851, 4303, 454, 268, 21175, 4303, 454, 268, 8285, 4303, 454, 14096, 269, 1548, 568, 17341, 4303, 888, 268, 589, 9702, 547, 8956, 7980, 945, 5747, 538, 4108, 3028, 454, 12553, 269, 1548, 568, 27851, 4303, 888, 268, 589, 9702, 547, 8956, 1004, 538, 519, 630, 308, 2529, 4700, 4108, 454, 268, 589, 9702 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26726, 6435, 619, 29663, 563, 763, 2856, 568, 547, 2285, 891, 1453, 513, 21350, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 301, 10052, 2782, 11071, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 3778, 1315, 13639, 1299, 12668, 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 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1015, 7454, 1763, 7808, 15379, 16530, 12910, 11659, 11829, 7685, 454, 16665, 6337, 538, 713, 1788, 912, 8448, 5227, 2093, 912, 4910, 7808, 15379, 16301, 910, 901, 5122, 5057, 568, 513, 1507, 3259, 6094, 5911, 2813, 519, 946, 540, 1291, 543, 17646, 18585, 269, 27009, 25146, 1000, 710, 568, 3622, 7298, 538, 513, 4837, 8546, 585, 2973, 946, 269, 1703, 616, 1808, 25146, 12904, 609, 519, 4390, 547, 2623, 2318, 1034, 14768, 799, 1331, 476, 274, 320, 267, 476, 276, 320, 267, 476, 1724, 320, 543, 476, 1428, 320, 269, 1234, 3712, 937, 267, 1699, 8928, 14724, 15029, 519, 5547, 568, 6806, 267, 4061, 519, 5969, 12967, 8928, 5631, 950, 519, 3119, 4483, 568, 593, 269, 2334, 779, 1946, 596, 991, 547, 1055, 519, 6240, 6467, 547, 31028, 519, 5201, 269, 30474, 519, 6587, 6073, 1472, 982, 519, 1482, 2025, 968, 1873, 3558, 593, 6100, 9406, 286, 563, 310, 2231, 609, 13711, 610, 6960, 2681, 725, 616, 1031, 585, 3251, 4296, 267, 865, 519, 3283, 616, 519, 2661, 12904, 269, 3973, 519, 12904, 609, 4544, 610, 3109, 24698, 616, 1031, 585, 31717, 4296, 267, 865, 789, 616, 519, 9243, 12904, 269, 1403, 596, 1294, 513, 3039, 610, 5835, 25984, 10260, 267, 11291, 789, 2811, 1031, 585, 3618, 4296, 267, 799, 1797, 602, 1346, 616, 519, 3618, 12904, 269, 1703, 616, 11690, 1124, 22806, 547, 1205, 476, 276, 320, 267, 476, 1724, 320, 610, 476, 1428, 320, 4207, 269, 5381, 547, 3774, 17176, 267, 972, 616, 2027, 2010, 540, 11690, 1124, 22806, 1759, 593, 8930, 2186, 1927, 609, 1079, 1790, 514, 11690, 338, 543, 476, 274, 1790, 514, 11690, 338, 538, 799, 519, 3791, 8930, 568, 585, 3618, 1000, 710, 269, 1677, 1205, 1346, 4296, 267, 3167, 2103, 946, 4099, 12904, 543, 476, 274, 4295, 12904, 563, 25821, 2103, 666, 1921, 2789, 8279, 547, 513, 796, 3405, 3072, 4483, 607, 1279, 607, 519, 2413, 6377, 12773, 540, 519, 6467, 568, 711, 19942, 267, 607, 606, 1383, 782, 3544, 8654, 26892, 666, 581, 4448, 547, 513, 796, 3405, 3072, 4483, 15603, 596, 1769, 909, 873, 1510, 8488, 24672, 269, 1306, 606, 3236, 267, 538, 519, 476, 273, 526, 1383, 267, 596, 693, 519, 6467, 1256, 607, 596, 3330, 519, 2777, 543, 1287, 596, 9090, 9376, 519, 7450, 607, 4166, 607, 9205, 269, 3767, 596, 1616, 547, 1055, 519, 4483, 267, 875, 798, 596, 798, 602, 286, 4004, 6510, 547, 3046, 787, 782, 523, 547, 1205, 519, 7060, 540, 2469, 3842, 4096, 286, 715, 2100, 256, 269, 1403, 972, 781, 513, 13337, 538, 1022, 540, 519, 11387, 1369, 519, 15335, 713, 4483, 10741, 630, 339, 8692, 264, 8850, 543, 31028, 338, 519, 1379, 5838, 269, 1280, 1383, 267, 950, 513, 1268, 11392, 6850, 322, 3176, 610, 950, 707, 4357, 1753, 1332, 547, 581, 513, 3804, 540, 513, 17500, 14213, 269, 1280, 519, 2601, 602, 7552, 4483, 568, 865, 3730, 267, 621, 2501, 609, 513, 1491, 513, 1413, 693, 7735, 15603, 596, 1449, 952, 621, 2731, 1568, 607, 10567, 269, 0, 12179, 821, 945, 779, 5030, 538, 8419, 585, 3476, 982, 513, 1554, 6487, 602, 2011, 14555, 568, 513, 1590, 267, 2523, 1282, 519, 4832, 269, 1306, 7264, 540, 513, 15911, 2916, 267, 621, 4667, 649, 616, 2141, 10478, 585, 602, 3501, 13362, 2179, 547, 4398, 5223, 547, 1832, 519, 8028, 1949, 8647, 693, 6099, 2157, 1510, 2269, 1456, 519, 6578, 563, 14611, 5199, 568, 2556, 585, 782, 3937, 267, 543, 4648, 4363, 2348, 707, 8028, 4559, 13761, 12422, 269, 769, 519, 29291, 267, 835, 1259, 547, 8831, 519, 1272, 543, 2298, 540, 707, 1770, 568, 547, 1902, 538, 1164, 3887, 11797, 2011, 12086, 563, 31262, 540, 606, 5794, 31207, 912, 1103, 1931, 547, 1174, 1946, 519, 2298, 540, 606, 2011, 6882, 1131, 1118, 513, 3017, 267, 621, 1522, 948, 547, 917, 1018, 922, 1909, 568, 538, 519, 1184, 540, 9023, 707, 1753, 269, 1323, 2011, 6882, 267, 540, 1576, 267, 12086, 519, 2011, 607, 621, 568, 6537, 883, 519, 8028, 1770, 547, 581, 22799, 543, 556, 2275, 597, 1529, 730, 269, 898, 20637, 13897, 543, 7452, 5536, 1354, 789, 1205, 547, 824, 2694, 540, 519, 3684, 282, 2694, 602, 666, 1205, 3905, 1247, 10512, 563, 1103, 2110, 267, 513, 2596, 2011, 6882, 786, 1832, 519, 7452, 689, 5337, 1746, 543, 20414, 824, 2694, 540, 519, 1770, 593, 3595, 563, 3383, 267, 513, 2596, 2011, 6882, 1281, 519, 2816, 269, 1717, 267, 538, 519, 1279, 2196, 267, 621, 3587, 811, 1942, 2500, 547, 1118, 519, 6467, 547, 513, 1164, 3887, 11797, 2011, 6882, 269, 4014, 519, 2596, 6882, 8952, 707, 2777, 689, 8028, 1770, 3595, 267, 621, 1281, 711, 2097, 2673, 547, 16069, 13897, 543, 7452, 689, 3478, 547, 519, 3330, 540, 519, 8028, 1770, 563, 2005, 568, 1271, 547, 3247, 13897, 543, 7452, 689, 3478, 883, 519, 1770, 267, 1317, 1169, 9325, 602, 1281, 8332, 2478, 4398, 269, 901, 18922, 883, 513, 2362, 10865, 3167, 3915, 269, 2060, 1648, 3790, 593, 519, 4473, 267, 1169, 2370, 3787, 2337, 269, 634, 7082, 1631, 814, 513, 3903, 547, 1118, 269, 5794, 12086, 991, 547, 581, 4957, 610, 19345, 1169, 476, 1789, 547, 476, 3445, 2395, 267, 4470, 593, 519, 2203, 563, 11947, 3887, 11797, 2011, 12086, 798, 1942, 811, 267, 855, 786, 2539, 10865, 3167, 12014, 607, 1134, 607, 2759, 5993, 8028, 7816, 3790, 676, 3850, 519, 1062, 547, 2196, 693, 2362, 19993, 2157, 269, 634, 3328, 1753, 26782, 538, 8419, 22939, 827, 1269, 8517, 547, 1269, 272, 267, 1822, 12422, 593, 8028, 18203, 563, 763, 1062, 729, 5189, 538, 476, 2735, 278, 547, 2557, 4398, 2157, 540, 2011, 12086, 269, 595, 6817, 519, 29358, 21252, 27561, 10025, 630, 300, 27263, 1070, 621, 3096, 513, 4336, 540, 476, 272, 547, 476, 1626, 547, 3313, 2011, 6882, 4398, 267, 476, 1626, 1373, 519, 1034, 3608, 269, 11162, 267, 3001, 2694, 616, 1898, 585, 8028, 1770, 2773, 267, 543, 513, 1164, 3887, 11797, 2011, 6882, 20637, 1256, 18784, 14947, 543, 7452, 5536, 267, 607, 1507, 607, 476, 1015, 8020, 6425, 563, 288, 1480, 4552, 3800, 476, 1911, 8020, 6425, 538, 8006, 269, 1717, 267, 4648, 798, 4363, 15388, 1354, 11449, 269, 2060, 865, 1082, 1114, 2011, 6882, 3631, 543, 8028, 1770, 2306, 267, 621, 568, 1271, 547, 4444, 835, 602, 13352, 707, 1062, 563, 2005, 568, 4990, 540, 899, 2780, 3301, 269, 2368, 540, 519, 811, 2413, 3301, 3292, 1175, 5749, 1406, 15095, 609, 4587, 5904, 269, 634, 18960, 3301, 20546, 539, 519, 4587, 3937, 269, 1879, 713, 4523, 267, 621, 949, 581, 4502, 6236, 18175, 15665, 519, 3003, 8028, 1062, 269, 898, 568, 3833, 606, 23072, 267, 855, 1589, 827, 621, 899, 713, 281, 596, 616, 2469, 547, 581, 7836, 811, 2724, 936, 942, 609, 513, 1447, 3608, 1062, 563, 8256, 28366, 4080, 909, 547, 513, 476, 2004, 2600, 6175, 538, 10865, 1648, 3790, 950, 789, 16539, 538, 1164, 3887, 11797, 2011, 12086, 543, 8028, 4559, 269, 8409, 616, 9806, 596, 666, 1491, 782, 519, 1259, 547, 519, 4871, 2336, 11947, 3887, 11797, 2011, 12086, 666, 849, 581, 15747, 538, 5355, 2011, 2298, 3330, 519, 2777, 538, 1840, 547, 14178, 519, 1272, 540, 519, 8028, 1770, 3294, 269, 22165, 515, 4443, 609, 513, 1164, 3887, 11797, 2011, 6882, 269, 898, 20637, 267, 547, 2012, 513, 1906, 267, 4620, 546, 6387, 267, 4552, 4944, 2001, 267, 7622, 2973, 619, 267, 9044, 24032, 543, 824, 23480, 563, 12709, 14935, 945, 723, 10130, 267, 11959, 610, 723, 1453, 609, 11959, 1223, 2759, 3782, 3790, 3274, 676, 5355, 519, 2298, 540, 519, 2011, 269, 5015, 267, 952, 596, 991, 1022, 948, 609, 519, 10380, 540, 707, 6882, 596, 666, 3274, 1289, 513, 3318, 971, 607, 1346, 936, 693, 7585, 26081, 332, 14525, 589, 14727, 563, 763, 5856, 267, 31929, 10374, 267, 568, 1945, 540, 513, 1753, 6454, 11285, 538, 1200, 1753, 267, 3257, 1018, 1352, 666, 547, 2226, 3388, 602, 2306, 621, 513, 6899, 1747, 547, 2661, 269, 1403, 596, 6999, 547, 1451, 811, 827, 31929, 596, 666, 3643, 593, 5616, 266, 269, 0, 3080, 540, 519, 1655, 1634, 2038, 7215, 540, 23347, 2006, 673, 18639, 2219, 568, 519, 18639, 27659, 6652, 540, 4793, 534, 329, 8932, 2073, 519, 3312, 2012, 540, 799, 949, 723, 1044, 519, 623, 5953, 3279, 10722, 329, 531, 599, 7541, 23410, 5953, 14259, 1606, 5953, 30195, 330, 27256, 1790, 9545, 659, 3570, 630, 322, 269, 28069, 1063, 476, 23283, 910, 476, 28883, 264, 799, 930, 5640, 1631, 3494, 3769, 1312, 519, 521, 583, 6652, 543, 513, 16555, 269, 1306, 519, 2012, 5267, 267, 519, 21042, 9713, 4493, 585, 713, 1257, 568, 519, 4095, 6138, 17941, 590, 5953, 30195, 330, 27256, 269, 901, 19473, 2065, 1153, 568, 5018, 538, 918, 879, 30909, 1176, 320, 781, 1488, 628, 1662, 770, 571, 607, 835, 540, 519, 1614, 6688, 540, 606, 12858, 802, 1731, 529, 630, 874, 3342, 2684, 625, 264, 2059, 609, 18639, 543, 595, 5953, 337, 341, 5953, 6390, 269, 634, 1079, 3506, 723, 930, 3604, 607, 1134, 269, 18639, 7608, 519, 17748, 540, 834, 26051, 5601, 2580, 1247, 6341, 330, 27256, 2919, 607, 513, 7787, 626, 267, 1875, 7308, 2065, 270, 7752, 2065, 1062, 540, 9699, 6138, 269, 6884, 4793, 534, 329, 8932, 781, 1062, 568, 5219, 547, 607, 590, 21983, 341, 4673, 6341, 330, 27256, 538, 12095, 626, 8012, 547, 29518, 10042, 781, 715, 597, 643, 4673, 6341, 330, 27256, 269, 634, 19320, 1063, 18639, 543, 6341, 330, 27256, 941, 865, 2673, 602, 7665, 28228, 28705, 3081, 602, 834, 1492, 1079, 24866, 941, 538, 2442, 1612, 28917, 13747, 689, 1142, 824, 607, 6341, 330, 27256, 609, 543, 6341, 330, 27256, 1510, 513, 7083, 4799, 5278, 10610, 28265, 619, 1419, 8237, 741, 1426, 6981, 883, 476, 276, 547, 476, 278, 6980, 540, 3160, 9422, 1543, 543, 3548, 693, 2834, 11996, 630, 324, 3052, 269, 1169, 476, 273, 547, 476, 274, 3108, 1040, 901, 1935, 5713, 1079, 5301, 281, 547, 3970, 936, 785, 592, 3101, 538, 519, 5969, 5123, 267, 543, 547, 1450, 585, 519, 4616, 540, 1804, 12531, 540, 1426, 1282, 519, 4439, 6362, 5123, 269, 14856, 811, 4749, 1281, 711, 2333, 21828, 10894, 2557, 950, 3379, 547, 476, 274, 6980, 513, 1554, 269, 2755, 1426, 1281, 723, 513, 10894, 1942, 547, 7558, 267, 10110, 267, 543, 4558, 267, 1572, 519, 5687, 545, 1198, 540, 1426, 267, 621, 5673, 593, 519, 7274, 543, 1826, 540, 1426, 267, 711, 875, 519, 1426, 568, 3262, 2066, 519, 6980, 540, 519, 1554, 269, 4270, 22306, 2090, 1210, 2898, 23073, 1608, 528, 574, 4479, 543, 6065, 569, 13042, 1216, 723, 7152, 602, 972, 568, 1100, 10894, 5413, 547, 4189, 811, 4749, 563, 317, 717, 822, 514, 24627, 281, 834, 4322, 15646, 1735, 1356, 5389, 6035, 513, 1007, 5075, 540, 519, 1480, 2783, 799, 2968, 11368, 267, 547, 930, 4110, 267, 883, 519, 23381, 540, 519, 23347, 2006, 7622, 518, 269, 634, 16809, 540, 10841, 2045, 1143, 543, 15646, 10586, 4667, 267, 693, 1101, 267, 19944, 6681, 609, 519, 2909, 327, 2006, 673, 16809, 540, 519, 14751, 566, 540, 1514, 13800, 543, 519, 2773, 540, 1857, 543, 6469, 12738, 269, 11569, 267, 972, 814, 1044, 930, 7521, 607, 547, 2436, 10841, 2045, 1143, 543, 922, 2093, 540, 1427, 1026, 5737, 2962, 267, 556, 4532, 28271, 543, 5289, 19802, 267, 1522, 711, 723, 12090, 3544, 519, 31249, 642, 14037, 12106, 267, 610, 1256, 3544, 589, 32569, 2528, 281, 602, 513, 28836, 3140, 5169, 1522, 2272, 585, 519, 7805, 27171, 1369, 1412, 295, 8114, 1143, 262, 1063, 519, 1158, 14751, 566, 540, 519, 7622, 518, 543, 519, 1158, 2258, 566, 540, 519, 15646, 1735, 1356, 269, 1717, 267, 713, 27524, 582, 558, 1436, 568, 1932, 5187, 2065, 267, 585, 2585, 885, 666, 17216, 581, 1336, 1063, 15646, 10586, 543, 642, 14037, 23347, 2006, 1143, 267, 1247, 2609, 689, 1875, 5174, 19207, 2006, 673, 267, 590, 1090, 3570, 5389, 849, 5129, 606, 1271, 851, 538, 519, 5250, 540, 519, 15646, 9629, 622, 4998, 269, 11569, 972, 616, 2585, 885, 1063, 642, 14037, 23347, 2006, 1143, 543, 13221, 267, 543, 621, 814, 1044, 11130, 602, 519, 17700, 8179, 547, 2132, 547, 519, 16431, 540, 513, 642, 14037, 2486, 799, 646, 4718, 607, 1373, 2144, 10757, 538, 1010, 1378, 1554, 4799, 20694, 6387, 654, 2106, 928, 32625, 602, 1106, 1652, 9066, 543, 3693, 531, 9066, 1522, 723, 12090, 538, 519, 772, 20725, 19631, 2245, 269, 634, 9998, 4704, 547, 9066, 568, 538, 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 ]

[ 2200, 543, 10893, 3653, 563, 273, 269, 274, 6052, 21252, 281, 13722, 532, 12539, 14272, 2745, 454, 17457, 25738, 6191, 616, 2966, 609, 1648, 4398, 538, 2247, 269, 1635, 17306, 519, 8022, 543, 9023, 3157, 267, 891, 6191, 2154, 1447, 1648, 547, 3132, 1142, 10189, 267, 4611, 538, 513, 4389, 3327, 11640, 269, 6052, 18026, 25738, 6191, 1404, 513, 4105, 1909, 538, 5009, 6940, 676, 25137, 2200, 543, 4227, 8511, 3154, 5434, 563, 273, 269, 275, 27326, 8605, 5020, 18888, 281, 1234, 20608, 543, 4676, 650, 762, 13268, 1645, 454, 289, 27172, 6191, 7520, 519, 2504, 540, 23431, 543, 1201, 650, 762, 11183, 3681, 267, 8716, 6800, 547, 2569, 741, 946, 540, 2582, 14025, 5068, 269, 1452, 10357, 7888, 8925, 3565, 547, 513, 9764, 4346, 676, 14178, 519, 1587, 1272, 4783, 543, 10893, 3653, 5108, 563, 274, 269, 17904, 22159, 543, 8562, 983, 5071, 454, 289, 27172, 6191, 849, 1404, 513, 2629, 1909, 538, 12561, 9764, 1374, 3741, 269, 8562, 983, 1374, 3322, 2870, 2472, 609, 741, 3003, 1272, 4783, 538, 2247, 267, 689, 6151, 1570, 10868, 547, 1439, 6361, 3734, 12871, 269, 1635, 8888, 15004, 609, 6691, 1464, 543, 556, 639, 1464, 538, 2247, 267, 25738, 6191, 948, 7413, 3653, 543, 3895, 513, 6806, 2000, 17274, 1062, 602, 7028, 4264, 2853, 563, 275, 269, 20985, 27557, 585, 513, 5682, 518, 8892, 454, 21615, 571, 1424, 4264, 11183, 3435, 3340, 10319, 3646, 689, 782, 8639, 538, 519, 3761, 5832, 269, 22749, 267, 4213, 267, 6800, 267, 543, 14223, 2516, 782, 1404, 1898, 5107, 538, 5885, 543, 5009, 10357, 7888, 11183, 7341, 563, 276, 269, 10390, 281, 623, 3058, 519, 10158, 585, 12655, 13268, 1645, 454, 289, 27172, 6191, 723, 7153, 607, 10357, 7888, 3435, 602, 5397, 4264, 11183, 2853, 269, 3414, 17426, 2326, 267, 6691, 762, 11183, 267, 1648, 4398, 267, 543, 9764, 1374, 3741, 267, 891, 6191, 2569, 5068, 3653, 543, 3895, 513, 22928, 2104, 269, 1635, 10115, 538, 4264, 11183, 543, 5009, 23431, 543, 6691, 762, 3681, 267, 519, 11183, 2872, 666, 3648, 2569, 922, 2825, 1764, 543, 3565, 547, 513, 15777, 543, 8902, 4541, 563, 2026, 4656, 540, 6940, 5170, 547, 1332, 267, 519, 1909, 540, 25738, 6191, 538, 4264, 11183, 786, 17216, 1831, 1256, 811, 7986, 269, 1635, 19713, 519, 1761, 540, 25738, 6191, 543, 5009, 513, 9764, 4346, 267, 519, 2872, 666, 17362, 519, 1259, 585, 513, 811, 4264, 267, 10357, 7888, 2104, 267, 1141, 11183, 3587, 513, 851, 540, 519, 3070, 547, 2825, 2591, 269, 0, 20112, 24258, 568, 4092, 538, 14151, 269, 7108, 24258, 267, 14151, 814, 513, 2551, 540, 476, 1321, 267, 271, 3066, 269, 7108, 24258, 568, 1447, 1920, 7266, 878, 982, 519, 4478, 10315, 609, 476, 278, 260, 10820, 609, 1453, 269, 634, 10315, 6871, 585, 10820, 609, 1453, 568, 476, 3066, 18336, 763, 11667, 7622, 4747, 538, 7108, 24258, 267, 14151, 568, 1269, 10602, 267, 28526, 269, 634, 11667, 7622, 4747, 585, 519, 4478, 10315, 568, 1269, 6795, 267, 280, 6507, 3379, 547, 519, 3084, 11667, 540, 1269, 5780, 267, 19442, 269, 634, 11667, 2085, 540, 1004, 2713, 538, 7108, 24258, 568, 476, 4792, 269, 276, 1296, 563, 763, 3328, 1164, 2837, 538, 5147, 568, 476, 10441, 269, 274, 5232, 267, 609, 606, 3328, 1970, 2837, 538, 5130, 540, 476, 2412, 5232, 269, 634, 5993, 13247, 568, 476, 1321, 269, 3066, 269, 0, 10144, 4635, 7395, 328, 28673, 547, 21727, 4906, 538, 5840, 454, 7069, 560, 673, 681, 3770, 338, 717, 8724, 513, 1763, 30029, 454, 2690, 1346, 540, 721, 945, 1185, 513, 3909, 909, 32523, 267, 972, 616, 1079, 6589, 540, 4906, 2441, 779, 4332, 269, 634, 835, 538, 519, 22258, 540, 19279, 543, 15623, 269, 634, 22258, 540, 19279, 6257, 519, 4332, 540, 4906, 2441, 538, 21861, 548, 1335, 1247, 519, 835, 538, 15623, 3947, 721, 513, 2143, 2272, 540, 875, 519, 8797, 2367, 4718, 513, 6505, 5182, 543, 4956, 547, 1246, 621, 269, 16270, 12625, 267, 519, 8797, 2367, 6035, 4816, 4906, 1614, 13344, 799, 941, 281, 7108, 267, 7671, 4532, 1619, 267, 543, 3733, 337, 9071, 269, 1548, 1082, 1004, 1810, 1406, 917, 568, 602, 519, 1614, 8797, 2367, 941, 7395, 328, 563, 10144, 4635, 7395, 328, 28673, 547, 21727, 4906, 538, 5840, 22535, 339, 11548, 10472, 2639, 763, 4012, 328, 941, 513, 8797, 1004, 945, 1185, 513, 5679, 871, 585, 2542, 519, 6801, 543, 8754, 519, 10206, 602, 789, 941, 8797, 269, 1323, 18303, 16724, 267, 24053, 8210, 28727, 267, 568, 8744, 519, 7395, 328, 5389, 1394, 676, 4142, 21899, 1010, 3484, 547, 2030, 7108, 267, 7671, 4532, 1619, 267, 543, 3733, 337, 9071, 269, 898, 568, 5156, 602, 519, 8797, 2367, 1705, 711, 10516, 4816, 4906, 609, 4890, 4154, 855, 2864, 993, 828, 18300, 540, 519, 645, 1023, 600, 540, 717, 850, 611, 269, 901, 568, 606, 23599, 3575, 23401, 20521, 543, 24036, 602, 6004, 269, 8210, 28727, 568, 849, 3395, 269, 1261, 3081, 646, 729, 2220, 26359, 547, 1332, 873, 676, 519, 1249, 602, 789, 616, 2808, 547, 581, 2564, 2371, 538, 519, 23573, 563, 763, 2371, 616, 849, 4583, 585, 6721, 13526, 6979, 543, 2545, 916, 563, 17457, 13400, 5640, 723, 849, 20483, 6004, 269, 8210, 28727, 779, 3069, 540, 993, 828, 18300, 540, 519, 536, 1023, 600, 540, 717, 850, 611, 1373, 519, 4154, 269, 4515, 269, 1744, 574, 3333, 517, 5484, 962, 12317, 9655, 7699, 267, 689, 519, 26439, 328, 16581, 3194, 4741, 267, 3081, 602, 646, 25541, 930, 2371, 689, 8210, 28727, 779, 3484, 543, 646, 11099, 789, 616, 540, 519, 1482, 3099, 607, 1346, 1031, 538, 3504, 2053, 269, 519, 5584, 832, 685, 2070, 814, 3366, 547, 606, 2333, 540, 3747, 585, 519, 2371, 607, 4948, 25232, 1616, 547, 6633, 873, 547, 27481, 4906, 685, 2012, 563, 16031, 269, 8210, 28727, 3081, 646, 568, 1930, 547, 782, 10764, 607, 646, 6663, 547, 948, 1004, 946, 519, 2371, 538, 513, 17501, 6073, 269, 0, 303, 710, 20625, 630, 2304, 11446, 635, 657, 639, 264, 568, 606, 11212, 8949, 267, 2635, 9341, 4829, 269, 898, 779, 14095, 609, 5567, 267, 14434, 267, 543, 824, 5363, 7135, 267, 971, 607, 11476, 602, 666, 2149, 1996, 6553, 543, 2068, 269, 898, 779, 4122, 13881, 19323, 267, 1989, 2683, 267, 610, 28448, 2759, 563, 11771, 3215, 538, 3162, 3013, 267, 621, 729, 3957, 676, 2038, 3864, 3935, 9088, 585, 922, 11696, 28917, 547, 513, 12566, 13409, 4586, 303, 710, 20625, 543, 922, 7135, 616, 5532, 547, 1896, 1072, 2640, 267, 1519, 9283, 538, 12536, 267, 12046, 267, 543, 6051, 689, 6391, 563, 763, 12566, 20625, 2030, 568, 513, 9341, 4829, 538, 519, 645, 668, 20782, 576, 2801, 1920, 543, 666, 1332, 3833, 1804, 269, 2368, 4529, 946, 519, 12566, 20625, 607, 513, 3090, 540, 1434, 9939, 269, 634, 4829, 12090, 538, 3162, 3013, 543, 729, 3957, 12566, 20625, 1317, 621, 11696, 1194, 513, 12566, 322, 821, 269, 5053, 9518, 626, 611, 832, 3262, 922, 5452, 1472, 519, 1158, 538, 519, 476, 1626, 628, 2540, 267, 543, 1631, 621, 568, 835, 540, 519, 1034, 4922, 3766, 3497, 5613, 538, 519, 1158, 267, 689, 16127, 547, 17289, 547, 519, 13372, 563, 303, 710, 20625, 568, 513, 2067, 2707, 540, 6171, 595, 267, 799, 2337, 547, 5818, 12046, 547, 4339, 6553, 543, 4339, 1055, 5563, 267, 971, 607, 9190, 5563, 1547, 1306, 4411, 543, 2770, 4005, 15155, 1186, 909, 538, 519, 5162, 267, 2348, 1776, 12046, 28967, 8803, 1907, 1318, 538, 519, 10051, 568, 513, 7132, 563, 3080, 7484, 540, 2759, 12566, 20625, 19646, 513, 1713, 2179, 540, 6171, 595, 267, 1634, 585, 922, 15934, 3601, 543, 2702, 547, 4339, 1591, 3441, 269, 589, 1507, 1297, 540, 2090, 723, 6743, 693, 875, 4189, 12566, 20625, 3232, 949, 2569, 519, 6553, 689, 18980, 4345, 543, 11926, 540, 519, 15102, 538, 519, 9224, 269, 634, 28538, 601, 664, 621, 3568, 568, 5140, 585, 707, 4761, 1062, 563, 763, 8324, 543, 6886, 538, 12566, 20625, 849, 1291, 547, 513, 3648, 2539, 1981, 540, 31004, 23979, 1547, 901, 568, 606, 3750, 2068, 602, 1419, 5540, 4587, 1004, 543, 666, 2014, 5075, 2530, 563, 6097, 547, 519, 1977, 5839, 983, 26440, 523, 3130, 7690, 267, 519, 2783, 267, 811, 11342, 538, 8951, 267, 568, 519, 3056, 2014, 540, 5075, 2530, 538, 4587, 4079, 269, 7743, 6484, 568, 1271, 538, 4509, 3750, 1072, 267, 865, 519, 12566, 20625, 779, 3638, 5567, 267, 1519, 25558, 523, 6950, 267, 666, 1404, 513, 11358, 1909, 538, 519, 6604, 543, 8192, 3797, 585, 31004, 23979, 269, 0, 299, 582, 6670, 568, 1022, 540, 513, 3099, 540, 2553, 1031, 547, 15814, 27121, 610, 14998, 950, 519, 3747, 585, 1346, 27121, 610, 14998, 20489, 519, 3761, 269, 634, 16101, 2724, 585, 1034, 13169, 3756, 568, 513, 6871, 540, 519, 2698, 2256, 328, 14186, 689, 19044, 6455, 269, 634, 26065, 666, 2039, 689, 1507, 6666, 5666, 547, 7199, 6517, 610, 5370, 269, 2368, 2829, 1450, 5716, 547, 3442, 741, 1378, 2338, 538, 519, 4126, 540, 10888, 513, 2462, 13544, 13607, 269, 11524, 946, 8579, 2079, 610, 824, 2994, 547, 3589, 519, 10888, 2338, 269, 769, 2901, 2013, 267, 3094, 11789, 616, 2356, 1641, 547, 4747, 9204, 563, 8794, 513, 4351, 1297, 11718, 610, 7421, 3140, 3466, 616, 711, 16798, 547, 1118, 596, 3638, 1107, 621, 779, 811, 1271, 547, 1404, 19100, 1369, 707, 1797, 269, 898, 779, 849, 1271, 547, 1404, 1369, 519, 3652, 543, 6042, 540, 707, 1533, 269, 1411, 666, 1256, 4688, 930, 540, 707, 3094, 11789, 676, 711, 4730, 693, 782, 269, 4892, 6108, 936, 1269, 3199, 9291, 542, 593, 20769, 6670, 1107, 602, 1223, 979, 2509, 2870, 606, 6595, 2508, 610, 9878, 1055, 5491, 3556, 7963, 563, 763, 2338, 3014, 568, 513, 851, 540, 3109, 2528, 543, 4249, 513, 1713, 1909, 538, 1082, 540, 938, 2729, 269, 898, 779, 811, 982, 1175, 13989, 267, 621, 779, 827, 2348, 513, 5326, 543, 3843, 547, 1118, 621, 2097, 3020, 269, 634, 1715, 3840, 20769, 6670, 17358, 713, 543, 7550, 519, 1793, 25830, 2353, 1411, 10261, 1772, 589, 667, 20683, 1656, 589, 14134, 538, 476, 2735, 271, 563, 1103, 519, 476, 1626, 628, 543, 476, 1704, 628, 5553, 621, 729, 1455, 538, 26990, 1495, 344, 543, 674, 1633, 619, 585, 10034, 547, 10891, 1857, 27601, 547, 6318, 2724, 585, 8878, 267, 519, 4057, 267, 543, 824, 2115, 269, 14731, 594, 540, 5333, 5189, 519, 1101, 1533, 24507, 3232, 27601, 538, 519, 476, 5611, 271, 338, 267, 543, 789, 3533, 2968, 2442, 2429, 2342, 269, 0, 305, 664, 28647, 540, 7756, 11352, 538, 4826, 667, 549, 921, 1206, 543, 19371, 645, 1737, 338, 454, 18404, 20631, 17004, 2407, 6221, 2594, 454, 288, 2582, 8086, 540, 7943, 3330, 513, 9991, 986, 785, 1886, 7472, 519, 3119, 22774, 269, 17677, 8086, 3947, 4473, 547, 519, 6281, 22774, 269, 901, 23227, 566, 21410, 519, 6724, 585, 4764, 28647, 540, 519, 1101, 3670, 9753, 269, 1411, 666, 1246, 519, 12345, 607, 789, 616, 18195, 539, 543, 10630, 538, 1216, 20256, 543, 4837, 19273, 547, 1106, 4764, 28647, 540, 1114, 1931, 269, 1411, 666, 1847, 519, 3448, 2990, 540, 519, 3043, 1769, 2707, 1210, 519, 1327, 1807, 269, 0, 9213, 779, 3327, 24785, 7020, 3457, 616, 2500, 267, 22973, 267, 543, 519, 1152, 1797, 547, 3713, 519, 17627, 1652, 267, 13820, 6804, 267, 543, 14686, 3327, 24785, 3154, 563, 6924, 267, 22332, 7089, 540, 16662, 30102, 267, 1875, 1922, 790, 1644, 2910, 13685, 4080, 547, 8914, 454, 1417, 619, 1282, 476, 1220, 271, 268, 1220, 280, 454, 1428, 267, 1822, 20976, 1493, 1297, 540, 1004, 5701, 585, 23139, 2910, 4598, 693, 6595, 11623, 1142, 1032, 630, 9989, 711, 1331, 13685, 602, 941, 7307, 693, 519, 3135, 540, 4598, 994, 275, 4375, 19105, 1297, 540, 2910, 7972, 829, 1032, 20330, 22025, 1113, 2959, 540, 3327, 24785, 666, 581, 1336, 538, 1034, 5321, 267, 1519, 7677, 2167, 267, 3154, 9832, 610, 3434, 25568, 267, 3786, 588, 7174, 267, 18402, 267, 9660, 3819, 619, 543, 6472, 269, 12539, 3933, 6448, 32302, 7933, 25018, 832, 616, 2966, 547, 19334, 1354, 5732, 1272, 18446, 2157, 540, 2910, 616, 6603, 543, 616, 1759, 593, 1079, 2188, 281, 942, 543, 2179, 269, 1403, 1970, 2157, 540, 3327, 24785, 616, 9571, 267, 519, 15372, 786, 711, 5365, 2394, 519, 2157, 616, 9846, 9571, 585, 513, 1974, 540, 942, 1107, 10834, 519, 2910, 2157, 616, 17729, 693, 513, 1377, 543, 8653, 602, 568, 5739, 269, 901, 11151, 519, 1297, 540 ]

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

[ 289, 941, 3989, 676, 1079, 5036, 540, 21056, 563, 288, 9399, 300, 19306, 519, 1611, 3337, 543, 519, 12166, 13260, 540, 513, 2016, 1305, 540, 3403, 22762, 1845, 676, 513, 3908, 1297, 540, 6724, 543, 666, 4061, 581, 1031, 585, 12747, 543, 7347, 3239, 26409, 269, 634, 9399, 300, 540, 519, 13520, 2634, 4294, 538, 713, 960, 729, 4843, 538, 700, 1329, 14551, 630, 1220, 279, 1040, 589, 2143, 6609, 540, 519, 5650, 543, 8100, 547, 824, 4485, 666, 581, 1336, 538, 700, 877, 14982, 630, 1220, 279, 1040, 3776, 4640, 585, 519, 5137, 540, 606, 9399, 300, 689, 1614, 8820, 3239, 1239, 2882, 1896, 3268, 281, 630, 272, 264, 10222, 9771, 7252, 941, 18949, 539, 689, 476, 1626, 16924, 13042, 3239, 588, 2931, 540, 3844, 5778, 335, 2812, 540, 519, 11832, 13520, 269, 769, 4334, 547, 519, 5892, 4843, 15101, 289, 267, 519, 5778, 335, 559, 4831, 12962, 729, 6913, 1210, 476, 276, 260, 12359, 11717, 5835, 269, 4107, 10297, 585, 5778, 335, 2812, 941, 6074, 607, 3989, 538, 519, 15101, 289, 630, 289, 8681, 339, 1696, 620, 1421, 476, 1220, 276, 1040, 634, 11667, 543, 14694, 1608, 344, 806, 540, 1142, 25487, 1560, 941, 5302, 7757, 1510, 30834, 2888, 269, 634, 23726, 543, 13494, 2522, 10981, 525, 941, 711, 3769, 538, 713, 2203, 269, 589, 30834, 1707, 540, 519, 1608, 344, 806, 883, 9067, 267, 27897, 267, 543, 21828, 8258, 729, 711, 5340, 269, 630, 273, 264, 8672, 3562, 15304, 5330, 1878, 941, 3964, 1063, 782, 2866, 7252, 267, 1775, 4318, 1421, 14622, 609, 519, 1482, 4994, 2671, 519, 1482, 26715, 2990, 593, 1142, 2866, 2627, 269, 1677, 3035, 713, 267, 782, 7252, 941, 8449, 15652, 539, 883, 4525, 630, 6312, 2583, 1070, 799, 2099, 4630, 27881, 6211, 735, 25902, 269, 589, 4704, 2627, 2468, 836, 1637, 729, 1287, 25528, 5196, 1142, 2866, 3337, 1210, 2627, 9936, 1436, 2553, 630, 299, 877, 14982, 1696, 620, 1421, 476, 1220, 274, 1040, 630, 274, 264, 2991, 12972, 540, 782, 2866, 5546, 547, 835, 4704, 267, 9030, 5057, 2079, 729, 4294, 593, 519, 1305, 540, 3337, 10321, 8204, 519, 7252, 685, 14584, 10974, 269, 901, 1184, 6383, 519, 9399, 300, 8204, 519, 3328, 3337, 7132, 513, 5276, 4999, 540, 519, 1034, 8984, 12331, 540, 3337, 8390, 630, 27729, 12331, 264, 8659, 538, 519, 2866, 1305, 563, 763, 9399, 300, 2636, 513, 3810, 11741, 6041, 540, 3337, 7648, 1851, 513, 1804, 1297, 540, 2043, 269, 634, 1034, 4101, 1900, 538, 519, 9399, 300, 5108, 568, 519, 8446, 540, 7222, 2798, 630, 21163, 476, 273, 1040, 3776, 1935, 568, 7317, 607, 621, 3322, 8261, 20487, 540, 15429, 6302, 269, 8616, 267, 713, 2636, 519, 2504, 540, 4977, 9399, 16039, 1256, 585, 1360, 1950, 22762, 1845, 609, 1804, 22775, 725, 543, 17062, 1283, 3098, 267, 607, 538, 519, 2013, 540, 519, 13520, 2634, 563, 15862, 26409, 666, 581, 12747, 676, 1210, 513, 1991, 328, 1702, 267, 3226, 827, 22762, 3740, 5546, 543, 8515, 12632, 269, 634, 2489, 2856, 568, 547, 10199, 2990, 606, 9399, 300, 538, 519, 9196, 1239, 543, 13604, 4268, 519, 3337, 6724, 630, 30135, 540, 519, 3337, 12331, 264, 543, 519, 8901, 4087, 2394, 519, 9399, 300, 13292, 519, 1843, 538, 519, 9196, 1239, 607, 5702, 607, 2009, 630, 299, 877, 14982, 267, 476, 1220, 279, 1040, 634, 8515, 14778, 540, 519, 5817, 9196, 1239, 616, 11117, 1472, 519, 1699, 9399, 300, 267, 543, 519, 2627, 540, 519, 9399, 300, 568, 19774, 2687, 547, 513, 1305, 540, 2016, 3652, 3056, 547, 519, 12761, 2203, 267, 799, 786, 581, 5941, 538, 519, 1985, 3296, 269, 3245, 519, 17223, 12761, 267, 1007, 3337, 12035, 610, 1007, 6753, 616, 17223, 269, 901, 5650, 18715, 602, 519, 26409, 8197, 4564, 513, 26363, 3337, 630, 13681, 755, 1145, 1040, 769, 1931, 547, 7753, 2009, 25314, 520, 2583, 1813, 547, 1367, 7648, 711, 9676, 676, 519, 9399, 300, 267, 513, 2022, 3491, 22422, 1900, 2356, 2488, 930, 5386, 25122, 585, 6111, 630, 298, 664, 332, 6686, 28705, 1696, 620, 1421, 476, 1220, 278, 267, 476, 1220, 280, 282, 1530, 574, 1696, 620, 1421, 476, 1220, 279, 1040, 18766, 689, 519, 9399, 300, 3294, 267, 519, 1292, 12146, 568, 513, 4341, 585, 8420, 5217, 519, 9399, 300, 2687, 547, 519, 5817, 9196, 1239, 547, 581, 5302, 7757, 269, 901, 568, 3177, 676, 519, 12761, 2203, 563, 288, 2241, 1505, 585, 7384, 771, 2897, 906, 540, 519, 2627, 2203, 538, 519, 9196, 1239, 568, 547, 3313, 513, 3339, 12761, 585, 1142, 14584, 540, 519, 2203, 971, 602, 519, 1007, 14584, 2990, 14626, 1938, 609, 513, 2178, 13506, 538, 519, 9196, 1239, 269, 3371, 267, 519, 1152, 13429, 1500, 568, 602, 1843, 6302, 538, 519, 9196, 1239, 616, 10630, 676, 1713, 2199, 7648, 538, 519, 3239, 8515, 269, 769, 519, 2013, 540, 1476, 5914, 9196, 540, 13520, 12058, 811, 1344, 827, 519, 9196, 1184, 666, 581, 3769, 538, 1931, 547, 13217, 713, 2203, 269, 6270, 24909, 723, 1044, 6069, 676, 3026, 340, 6975, 630, 1220, 278, 264, 543, 590, 5424, 630, 1220, 279, 264, 585, 1114, 9196, 10873, 563, 15899, 29705, 9179, 4255, 616, 1031, 547, 7447, 875, 28761, 519, 9399, 300, 2861, 26409, 540, 519, 13520, 2634, 15824, 538, 2259, 269, 769, 519, 4734, 14633, 13050, 1449, 835, 3239, 568, 6569, 689, 519, 2866, 1305, 267, 543, 513, 9819, 568, 5340, 547, 3313, 875, 8308, 513, 4389, 9399, 300, 267, 799, 568, 9112, 689, 519, 6967, 2592, 267, 666, 581, 9862, 547, 602, 6569, 3239, 269, 634, 2702, 540, 519, 2203, 547, 4766, 17062, 5546, 568, 4330, 607, 1264, 28467, 610, 1252, 1275, 269, 769, 1931, 547, 7447, 519, 2298, 540, 519, 12761, 3631, 630, 842, 3748, 9043, 2079, 264, 4734, 22433, 2987, 4255, 941, 5340, 269, 769, 4334, 547, 519, 4734, 14633, 13050, 1449, 267, 519, 1634, 3239, 568, 711, 6569, 689, 519, 9399, 300, 269, 901, 1259, 519, 2773, 540, 519, 12761, 4640, 666, 581, 6027, 267, 9674, 689, 519, 2298, 540, 519, 9399, 300, 3294, 563, 9288, 9778, 585, 519, 1611, 543, 31062, 2627, 3845, 941, 7229, 1210, 519, 2549, 4275, 17183, 291, 2700, 9074, 269, 901, 9074, 1939, 525, 1896, 1114, 3845, 3800, 1063, 1079, 7252, 269, 634, 1739, 3800, 941, 17223, 689, 519, 27008, 540, 891, 2418, 281, 1611, 3845, 543, 3044, 11539, 282, 3597, 1611, 4009, 3845, 282, 5021, 3845, 630, 295, 9476, 323, 528, 742, 3845, 5148, 31443, 3845, 282, 1858, 11539, 630, 704, 1417, 720, 540, 1858, 602, 1821, 28179, 811, 982, 513, 2016, 12939, 1916, 10303, 519, 14261, 1184, 568, 1759, 593, 6003, 4610, 267, 519, 5778, 335, 2812, 723, 547, 581, 26911, 538, 971, 513, 1259, 602, 5778, 335, 559, 10665, 666, 581, 4857, 543, 5302, 7757, 269, 1284, 1101, 4294, 606, 17193, 1996, 5348, 2355, 514, 799, 23182, 25859, 5778, 335, 2812, 10053, 538, 5348, 22663, 267, 543, 3976, 24716, 922, 8473, 547, 4478, 5160, 630, 289, 8681, 339, 1696, 620, 1421, 476, 1220, 276, 1040, 589, 12863, 1505, 3322, 9196, 519, 1313, 1993, 1663, 2803, 12412, 540, 519, 5160, 13251, 676, 22965, 541, 531, 24957, 269, 2290, 1223, 849, 3986, 519, 1313, 1993, 1663, 2803, 12412, 1210, 24470, 971, 607, 12359, 11717, 5835, 269, 12359, 11717, 5835, 28969, 267, 1498, 4389, 538, 4334, 3379, 547, 519, 5348, 2355, 514, 17193, 28969, 267, 2636, 811, 4028, 543, 4443, 1277, 1670, 4393, 269, 898, 2417, 30397, 27090, 3889, 538, 1454, 811, 1469, 982, 1313, 1993, 1663, 2803, 12412, 267, 543, 2164, 538, 4630, 18100, 28969, 2429, 519, 2634, 563, 763, 4161, 585, 13321, 11409, 883, 519, 1455, 7406, 540, 519, 15101, 289, 630, 8201, 630, 8201, 272, 264, 272, 264, 568, 547, 10126, 519, 2347, 30123, 5306, 540, 1142, 22813, 693, 1970, 6571, 1927, 609, 922, 8901, 1894, 547, 11105, 3889, 630, 21865, 6591, 676, 1164, 22822, 22794, 264, 971, 602, 513, 2112, 4771, 5690, 2636, 585, 5730, 12805, 1063, 5439, 689, 1114, 1367, 12058, 563, 1103, 7612, 7612, 2420, 1896, 1806, 540, 11409, 616, 3254, 267, 1142, 31827, 689, 513, 1114, 7041, 267, 543, 1142, 2348, 1044, 14384, 9927, 883, 519, 15101, 289, 269, 1677, 7001, 782, 2694, 540, 513, 22813, 693, 1114, 21368, 267, 1896, 1476, 5914, 18767, 941, 2556, 269, 901, 13514, 519, 1966, 540, 11578, 532, 1896, 6003, 4610, 3056, 547, 7766, 6959, 1282, 1483, 9892, 540, 782, 2694, 540, 519, 22813, 602, 18645, 1282, 519, 14261, 3157, 267, 799, 949, 16578, 13742, 693, 519, 8728, 540, 519, 6003, 4610, 630, 9802, 324, 1696, 620, 1421, 476, 1220, 277, 1040, 634, 4640, 1031, 585, 1142, 540, 519, 1806, 540, 7612, 7612, 2420, 729, 547, 1101, 11571, 606, 7650, 540, 519, 2634, 5627, 519, 2898, 22813, 267, 543, 1287, 18949, 519, 1292, 2694, 540, 519, 22813, 269, 2991, 2072, 267, 519, 22813, 781, 4525, 540, 1719, 267, 585, 1383, 267, 519, 27765, 26578, 3529, 540, 519, 700, 274, 22813, 267, 941, 18949, 539, 689, 1164, 22822, 18767, 630, 8201, 630, 8201, 273, 289, 1070, 273, 289, 1070, 17498, 322, 4705, 267, 13988, 267, 543, 24673, 547, 519, 1292, 22813, 18949, 539, 689, 1970, 6571, 18767, 269, 8061, 9911, 602, 616, 3361, 676, 1210, 1896, 4830, 4525, 540, 519, 1482, 22813, 538, 1896, 3268, 540, 14261, 616, 6854, 547, 513, 5934, 269, 1306, 513, 1267, 267, 519, 8901, 6111, 540, 519, 2112, 4771, 1184, 568, 8476, 269, 901, 27952, 5650, 2636, 721, 547, 17492, 7135, 540, 7373, 5928, 693, 1114, 2157, 540, 6571, 267, 585, 1383, 267, 519, 3077, 2127, 540, 10153, 16371, 543, 2964, 657, 29022, 954, 928, 584, 976, 630, 288, 328, 1696, 620, 1421, 476, 1220, 280, 264, 538, 1016, 2958, 687, 540, 519, 1486, 334, 576, 516, 13887, 27914, 630, 541, 4900, 538, 7612, 7612, 273, 288, 264, 273, 288, 264, 1927, 609, 7373, 5928, 693, 1164, 6571, 540, 741, 5386, 3889, 585, 519, 2079, 540, 741, 2199, 30490, 2934, 630, 8993, 999, 630, 8993, 999, 273, 290, 267, 291, 1040, 273, 290, 267, 291, 1040, 634, 7260, 540, 24045, 1570, 590, 274, 543, 519, 7317, 13156, 7154, 538, 519, 7300, 3758, 630, 8201, 630, 8201, 273, 288, 264, 273, 288, 264, 2636, 14839, 540, 519, 11409, 685, 8901, 3347, 563, 15307, 26305, 519, 6111, 540, 519, 14261, 1184, 568, 513, 2352, 4305, 269, 15742, 569, 267, 519, 1184, 3322, 3875, 3268, 267, 799, 616, 12155, 547, 16578, 538, 3147, 340, 20874, 630, 5408, 1657, 1040, 1280, 1383, 267, 519, 1277, 1670, 5650, 949, 16578, 4756, 1253, 25344, 1813, 547, 2199, 16756, 720, 3604, 602, 616, 711, 4628, 9104, 730, 676, 519, 3413, 710, 543, 13412, 14261, 269, 634, 4603, 518, 949, 711, 10126, 7157, 282, 519, 1297, 540, 6003, 4610, 630, 663, 267, 3976, 267, 519, 1297, 540, 7373, 5928, 3268, 264, 543, 3976, 1253, 25344, 540, 519, 18949, 539, 7252, 540, 5778, 335, 2812, 543, 11409, 786, 1291, 547, 11234, 6753, 540, 519, 9927, 22813, 538, 519, 15101, 289, 269, 769, 1840, 267, 519, 5778, 335, 2812, 543, 11409, 2933, 786, 8428, 689, 3662, 547, 3662, 267, 543, 621, 568, 713, 13260, 602, 11887, 519, 4909, 3970, 3823, 519, 10727, 540, 1022, 2634, 693, 20393, 1107, 16310, 519, 27696, 2042, 269, 4475, 267, 621, 568, 711, 2009, 547, 17589, 513, 2268, 540, 10727, 538, 519, 5888, 540, 11409, 10805, 18615, 569, 883, 519, 2634, 693, 20393, 269, 634, 1655, 1259, 540, 10992, 519, 8901, 6111, 540, 971, 11409, 568, 676, 9236, 519, 3448, 7158, 540, 519, 22813, 547, 519, 5778, 335, 559, 8473, 3515, 538, 519, 3312, 7041, 547, 519, 3510, 1310, 519, 14261, 1184, 269, 1284, 1683, 5926, 656, 658, 2963, 585, 519, 10727, 540, 519, 26409, 543, 14261, 1184, 676, 10503, 606, 1383, 538, 799, 649, 3379, 519, 6753, 540, 29296, 569, 26911, 11409, 609, 3444, 6810, 538, 1164, 22822, 2802, 2643, 7086, 622, 3613, 7134, 1612, 3530, 514, 6810, 1210, 1079, 1114, 14261, 2409, 563, 1103, 7612, 7612, 3451, 513, 10805, 10153, 16371, 16879, 22813, 630, 299, 276, 264, 568, 3308, 1242, 1927, 609, 513, 10805, 2802, 2643, 7086, 622, 3296, 6029, 4571, 28090, 4525, 630, 332, 2313, 3336, 4703, 267, 3844, 1560, 267, 543, 1486, 334, 576, 516, 13887, 27914, 1040, 634, 2802, 2643, 7086, 622, 1505, 630, 310, 24513, 956, 10290, 267, 476, 4198, 278, 264, 2488, 2143, 1344, 827, 519, 8849, 6189, 13031, 519, 5888, 540, 5778, 335, 2812, 267, 1474, 1092, 267, 543, 8778, 338, 267, 3976, 13830, 519, 8901, 2796, 1344 ]

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

[ 16824, 3282, 543, 519, 5452, 2933, 267, 607, 1134, 607, 538, 519, 1106, 540, 8869, 7594, 563, 1692, 594, 8057, 5144, 555, 16824, 454, 296, 11751, 5452, 585, 521, 12976, 693, 519, 26849, 267, 711, 2731, 15691, 585, 519, 1967, 540, 519, 23072, 267, 6065, 1154, 741, 23286, 269, 1809, 519, 12194, 5828, 856, 547, 581, 538, 642, 664, 267, 2094, 519, 5452, 5795, 476, 1911, 260, 23286, 269, 1656, 713, 267, 607, 621, 5828, 856, 267, 1185, 513, 2942, 2427, 585, 803, 269, 634, 1249, 568, 602, 594, 1705, 711, 723, 1995, 538, 3395, 5144, 555, 16824, 267, 543, 594, 1705, 711, 917, 1018, 621, 5654, 899, 538, 519, 4677, 563, 296, 521, 15735, 519, 1259, 594, 521, 15735, 513, 30011, 267, 609, 10616, 1063, 519, 2371, 476, 2412, 343, 2004, 4699, 269, 1879, 519, 2371, 4646, 513, 887, 3553, 974, 540, 2185, 3020, 3762, 267, 621, 5828, 856, 602, 789, 4988, 519, 3003, 9544, 1858, 543, 6743, 1360, 11141, 269, 27202, 17953, 344, 15254, 20672, 730, 3762, 941, 1175, 513, 23732, 540, 519, 4677, 563, 2026, 519, 555, 16824, 8057, 267, 621, 5828, 883, 513, 3532, 2030, 267, 543, 950, 519, 1292, 6565, 8057, 267, 621, 2968, 1360, 22125, 538, 519, 4677, 269, 898, 781, 513, 533, 640, 267, 855, 519, 2371, 1185, 547, 581, 1219, 4310, 269, 5047, 267, 621, 729, 711, 865, 2653, 547, 960, 281, 519, 555, 1941, 344, 2030, 2838, 960, 609, 5394, 17309, 269, 898, 729, 4277, 547, 7747, 519, 30226, 619, 538, 1250, 4677, 267, 543, 519, 12543, 267, 7487, 5458, 267, 2147, 538, 2450, 547, 519, 22800, 21002, 4169, 5432, 547, 3025, 267, 855, 1152, 519, 4190, 19481, 3762, 540, 519, 5144, 555, 16824, 267, 941, 5461, 281, 1018, 2186, 540, 3304, 9317, 2030, 888, 19853, 7279, 8694, 607, 4166, 607, 594, 4280, 873, 547, 5905, 519, 2030, 267, 543, 621, 729, 18473, 543, 11213, 1317, 540, 519, 5247, 985, 563, 298, 8636, 839, 585, 9042, 28523, 625, 585, 9042, 32130, 585, 9042, 454, 763, 1747, 585, 519, 5144, 555, 16824, 729, 6074, 13566, 267, 594, 2141, 798, 713, 950, 9544, 513, 1007, 2030, 585, 8885, 269, 1656, 713, 942, 594, 6785, 602, 519, 2030, 729, 689, 7013, 4234, 6421, 267, 543, 519, 3037, 729, 1134, 4904, 609, 5214, 2339, 267, 799, 267, 15151, 267, 4299, 519, 2164, 563, 300, 20488, 555, 16824, 8057, 3533, 267, 922, 1292, 6565, 2907, 6603, 513, 4463, 540, 476, 10204, 268, 5197, 4699, 267, 519, 2030, 3294, 6743, 1360, 11141, 267, 594, 1131, 1256, 2161, 910, 23836, 269, 3509, 15496, 30504, 4646, 267, 543, 782, 519, 30504, 540, 519, 1292, 6565, 267, 535, 8172, 2476, 267, 5795, 22691, 5452, 540, 513, 4158, 2681, 269, 634, 14694, 11710, 849, 1185, 1082, 5810, 267, 543, 519, 5452, 941, 13615, 267, 855, 676, 15489, 789, 1705, 711, 723, 942, 547, 18009, 523, 563, 8624, 22162, 519, 5452, 540, 713, 2030, 849, 814, 922, 1378, 25727, 269, 3689, 540, 782, 267, 596, 1058, 1376, 10655, 5452, 538, 3735, 4864, 910, 4571, 4149, 324, 4697, 267, 950, 519, 12109, 13827, 593, 519, 535, 12184, 30504, 3819, 909, 269, 898, 568, 1732, 547, 1376, 16276, 2038, 538, 519, 6640, 267, 950, 519, 30504, 723, 711, 2943, 19806, 15701, 267, 2094, 267, 2348, 19806, 15701, 267, 519, 5452, 8038, 2476, 593, 741, 1612, 778, 2373, 609, 31830, 338, 540, 2842, 563, 5475, 5969, 519, 30504, 267, 594, 12015, 873, 10123, 267, 15685, 519, 5452, 689, 519, 1612, 778, 1393, 2770, 742, 338, 543, 3576, 873, 856, 540, 519, 30504, 3006, 609, 4674, 267, 2094, 789, 1694, 972, 3833, 17401, 269, 681, 6559, 5452, 616, 4158, 538, 2681, 267, 543, 796, 686, 701, 5452, 616, 12779, 267, 3592, 3043, 267, 2705, 267, 899, 1346, 540, 30011, 563, 5331, 1250, 9983, 950, 519, 1985, 1032, 267, 543, 538, 782, 7766, 1296, 267, 538, 519, 5614, 267, 594, 1336, 519, 24111, 5144, 555, 16824, 538, 835, 610, 1776, 851, 540, 519, 4677, 267, 4352, 594, 1705, 711, 30889, 621, 972, 269, 901, 1797, 602, 519, 5452, 267, 22502, 538, 519, 2842, 543, 9991, 883, 519, 3037, 267, 1287, 17708, 1540, 676, 1582, 1606, 12976, 543, 8057, 3833, 6707, 269, 1809, 952, 519, 1747, 729, 695, 8014, 267, 1287, 519, 2030, 8057, 547, 922, 8912, 2450, 543, 16036, 539, 267, 855, 519, 3141, 729, 711, 2614, 547, 18009, 523, 519, 5452, 563, 8469, 545, 1400, 3096, 540, 5144, 555, 16824, 454, 5804, 519, 3332, 594, 917, 602, 519, 16392, 6151, 2326, 540, 5144, 555, 16824, 616, 5452, 267, 5072, 543, 1256, 3762, 269, 634, 5452, 616, 12015, 267, 6740, 538, 11435, 543, 1031, 607, 513, 1232, 334, 794, 267, 512, 3307, 675, 610, 8869, 547, 1521, 6797, 6553, 543, 15254, 545, 846, 15532, 538, 519, 2539, 17119, 885, 563, 2414, 5965, 513, 1232, 334, 794, 267, 476, 1789, 575, 540, 32314, 5452, 616, 23953, 883, 476, 272, 270, 273, 561, 540, 3905, 1216, 267, 23017, 538, 513, 1216, 8602, 2394, 519, 2179, 540, 1216, 568, 10300, 1386, 267, 1287, 22012, 998, 476, 273, 268, 274, 6106, 540, 12238, 2763, 269, 6875, 476, 272, 512, 26138, 269, 22635, 538, 606, 5662, 269, 634, 1576, 540, 2126, 568, 476, 272, 268, 273, 3275, 563, 291, 787, 6079, 8869, 568, 3144, 476, 272, 23188, 476, 275, 268, 276, 2053, 513, 1554, 476, 736, 3764, 1354, 6980, 563, 6546, 781, 4010, 1018, 594, 1705, 281, 594, 3893, 519, 8869, 689, 519, 10365, 1210, 513, 6995, 32291, 269, 634, 2783, 540, 519, 6797, 568, 5355, 267, 594, 917, 689, 1250, 1378, 1995, 267, 2094, 5144, 555, 16824, 21339, 2333, 519, 5250, 543, 608, 17917, 540, 23925, 267, 2333, 519, 8825, 3601, 540, 519, 6797, 538, 6935, 547, 1585, 5686, 540, 5563, 543, 15464, 563, 296, 4121, 602, 5144, 555, 16824, 5072, 616, 25653, 909, 538, 519, 2887, 267, 695, 2586, 1055, 519, 2666, 267, 18233, 538, 4411, 1216, 543, 12015, 538, 519, 3141, 610, 538, 513, 3819, 518, 693, 513, 2837, 540, 476, 2412, 268, 2004, 11019, 595, 269, 15188, 538, 513, 6806, 4837, 8708, 585, 835, 1032, 269, 589, 1232, 334, 794, 540, 519, 5072, 568, 5423, 693, 519, 2557, 540, 476, 272, 512, 26138, 269, 513, 22635, 995, 540, 6151, 2326, 585, 476, 272, 7484, 540, 14495, 1216, 269, 2353, 713, 568, 23017, 538, 513, 20177, 19596, 12826, 538, 513, 1216, 8602, 585, 476, 1789, 3764, 267, 22012, 3905, 998, 476, 273, 268, 274, 6106, 540, 12238, 2763, 267, 17065, 7458, 856, 543, 519, 4320, 540, 23017, 1216, 568, 4547, 547, 519, 3312, 269, 6875, 476, 272, 512, 26138, 269, 22635, 1614, 2053, 3232, 1354, 6980, 563, 1103, 12563, 16909, 4915, 267, 513, 1232, 334, 794, 540, 519, 5072, 568, 1031, 585, 5694, 5995, 607, 513, 27125, 267, 585, 13165, 267, 17256, 12802, 267, 1414, 1738, 320, 543, 5996, 6160, 687, 269, 634, 10433, 540, 519, 3762, 568, 26583, 585, 19228, 267, 6553, 540, 519, 3935, 543, 23441, 11940, 6242, 563, 8450, 849, 281, 19663, 5144, 555, 16824, 630, 306, 1176, 321, 636, 544, 4115, 636, 264, 0, 5278, 4388, 593, 1603, 4574, 630, 2181, 335, 1563, 543, 4843, 676, 7917, 674, 269, 13879, 2187, 268, 20472, 532, 606, 4661, 281, 24269, 596, 1118, 513, 2489, 3948, 630, 320, 3409, 1070, 596, 1058, 9414, 621, 609, 1808, 1806, 630, 5271, 2064, 1070, 1287, 2491, 519, 3095, 1063, 519, 1079, 269, 1280, 1383, 267, 596, 1522, 1459, 513, 2686, 2203, 4553, 676, 32461, 689, 606, 5967, 609, 1978, 2453, 12006, 543, 1287, 2491, 875, 519, 12006, 2453, 1683, 2963, 585, 519, 2203, 269, 589, 3621, 4661, 568, 513, 5832, 540, 6811, 543, 2963, 563, 268, 13419, 1005, 707, 1957, 281, 2755, 3594, 616, 5258, 883, 9433, 267, 3621, 4574, 616, 849, 5258, 883, 6810, 269, 2422, 26333, 585, 1142, 3296, 547, 1118, 519, 2497, 540, 707, 1957, 2312, 269, 1411, 666, 946, 2596, 26333, 630, 7072, 267, 13517, 267, 5811, 267, 10390, 1070, 855, 22521, 26333, 630, 299, 1933, 532, 519, 667, 880, 13195, 615, 267, 634, 7698, 12745, 540, 23556, 532, 519, 2961, 267, 634, 8376, 7844, 267, 634, 7731, 7844, 267, 9534, 9737, 519, 17738, 267, 3092, 4700, 616, 811, 13181, 563, 268, 4045, 532, 547, 519, 13220, 281, 6153, 2053, 547, 1921, 547, 519, 13220, 616, 950, 10747, 2474, 610, 2035, 630, 3697, 834, 322, 4321, 2203, 257, 610, 834, 26262, 889, 915, 2032, 19823, 950, 26500, 513, 1455, 1275, 609, 2576, 3116, 781, 960, 630, 324, 3052, 269, 519, 28477, 7844, 540, 519, 9650, 5526, 538, 707, 1239, 1070, 610, 950, 1210, 2409, 6964, 676, 2576, 3116, 630, 324, 3052, 269, 6153, 7773, 781, 16606, 10325, 1040, 1452, 1919, 1419, 2097, 909, 538, 519, 4367, 543, 2079, 6810, 540, 513, 1957, 563, 268, 4635, 8100, 281, 7102, 5503, 596, 1118, 513, 4276, 547, 519, 13220, 267, 596, 1058, 2285, 513, 11239, 1519, 519, 2278, 781, 2012, 543, 1032, 540, 519, 8313, 269, 1280, 1383, 267, 596, 1522, 2328, 1412, 1607, 12211, 547, 519, 28477, 7844, 540, 519, 9650, 630, 291, 262, 4517, 8565, 476, 1960, 275, 1040, 262, 1879, 844, 7627, 267, 849, 1039, 519, 2985, 1297, 281, 1412, 288, 2686, 2203, 568, 834, 320, 5042, 28203, 602, 568, 954, 11357, 915, 1947, 3838, 257, 630, 291, 262, 4517, 8565, 476, 1960, 275, 267, 533, 269, 476, 3607, 1040, 262, 3973, 1331, 513, 1592, 540, 834, 27066, 257, 610, 834, 17582, 24764, 257, 693, 519, 1439, 540, 707, 1957, 269, 25767, 519, 3898, 689, 835, 540, 519, 4930, 538, 519, 5467, 563, 268, 3798, 1746, 543, 6169, 15105, 281, 1403, 2009, 267, 723, 2576, 3116, 1224, 707, 1957, 543, 454, 326, 633, 596, 5955, 593, 1018, 781, 14845, 267, 1018, 2115, 811, 2963, 267, 1018, 4667, 454, 684, 22366, 267, 3092, 269, 3973, 12575, 707, 1957, 630, 5417, 267, 18419, 267, 610, 1689, 1257, 1040, 7053, 2676, 16513, 1348, 707, 1957, 630, 13765, 585, 9073, 538, 18685, 267, 10259, 267, 2262, 3903, 2676, 31756, 4700, 610, 723, 2576, 6169, 1348, 621, 585, 596, 563, 268, 4635, 12222, 281, 1403, 596, 1331, 513, 6516, 267, 581, 2386, 547, 3277, 547, 707, 6516, 12799, 865, 519, 5467, 6487, 621, 781, 972, 269, 1411, 798, 713, 676, 20803, 707, 6516, 630, 8201, 476, 272, 264, 543, 13288, 547, 621, 538, 519, 1560, 540, 707, 1957, 269, 1280, 1383, 267, 596, 1223, 2161, 267, 834, 763, 7731, 7844, 568, 3254, 538, 7612, 476, 272, 257, 610, 1175, 2161, 834, 763, 7731, 7844, 630, 8201, 476, 272, 264, 2982, 602, 2560, 834, 269, 4746, 267, 2141, 2491, 707, 12222, 734, 6866, 8263, 602, 789, 666, 1796, 4805, 610, 616, 1582, 7721, 17839, 2218, 269, 0, 292, 2675, 615, 747, 807, 19546, 2201, 27033, 27163, 543, 6090, 454, 20597, 23981, 853, 7564, 978, 269, 30446, 9931, 4432, 770, 766, 4438, 10426, 633, 20996, 20764, 7976, 281, 1323, 20010, 29138, 634, 32286, 1105, 2801, 534, 17774, 2772, 20962, 584, 4783, 281, 606, 4244, 8367, 1759, 593, 3371, 267, 649, 4434, 606, 4244, 7778, 1759, 593, 519, 6284, 602, 519, 590, 26223, 330, 3331, 370, 951, 7564, 1777, 940, 1285, 1412, 531, 1181, 894, 8367, 262, 910, 1266, 1564, 19241, 1606, 26223, 19241, 20750, 1731, 517, 1199, 544, 18033, 978, 320, 1166, 518, 3331, 370, 951, 7564, 1777, 940, 541, 9992, 18033, 333, 1266, 1564, 6390, 11489, 521, 26223, 6390, 11815, 529, 2228, 269, 1879, 1031, 267, 519, 14275, 8367, 568, 16912, 539, 3020, 2394, 8579, 2963, 538, 519, 1106, 540, 513, 8367, 1449, 6920, 6382, 269, 4475, 267, 519, 14275, 543, 519, 4244, 968, 516, 915, 519, 4244, 8367, 892, 3331, 353, 337, 8771, 533, 18033, 27615, 526, 1285, 1140, 5492, 652, 652, 564, 3046, 320, 579, 1777, 531, 541, 521, 580, 9631, 562, 3326, 1506, 335, 4925, 523, 703, 324, 9631, 3954, 3124, 520, 10216, 3834, 4925, 523, 269, 476, 1724, 269, 6349, 563, 268, 7780, 4133, 6390, 513, 19241, 1512, 2588, 23437, 940, 454, 268, 22050, 4592, 330, 641, 328, 9207, 7238, 330, 940, 454, 268, 594, 3316, 3898, 838, 664, 454, 268, 2473, 8457, 513, 19241, 773, 7564, 326, 732, 454, 268, 23582, 1359, 737, 528, 454, 268, 918, 770, 11663, 754, 564, 554, 8114, 1143, 523, 454, 553, 323, 331, 330, 553, 323, 331, 325, 333, 330, 329, 769, 10803, 267, 950, 649, 798, 29138, 13281, 267, 649, 616, 9277, 547, 723, 1079, 19165, 281, 589, 3119 ]

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

[ 609, 15865, 9124, 547, 2671, 741, 2833, 269, 9608, 6386, 948, 2736, 1524, 7496, 543, 6536, 4296, 1063, 1004, 945, 949, 6382, 1745, 9678, 610, 29144, 563, 274, 269, 32754, 8537, 4507, 281, 5917, 11229, 585, 12581, 2853, 1369, 3506, 267, 28737, 267, 543, 2950, 269, 3550, 602, 4507, 5447, 609, 3656, 4170, 630, 324, 3052, 1421, 5084, 288, 1070, 1683, 7850, 2200, 585, 22098, 13668, 267, 543, 5000, 1930, 5188, 827, 15865, 9124, 780, 3528, 3695, 519, 10848, 540, 15865, 9124, 267, 649, 2744, 3407, 4030, 883, 519, 3309, 2833, 540, 16981, 2043, 269, 3776, 15398, 4656, 16877, 721, 547, 1711, 11215, 5054, 1141, 3025, 7959, 2938, 267, 4862, 267, 543, 12595, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 16240, 1299, 31898, 7595, 476, 272, 281, 1948, 5591, 28694, 3674, 11514, 1842, 762, 281, 634, 31898, 7595, 540, 26225, 257, 5497, 585, 1164, 1153, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 4197, 9659, 2580, 834, 274, 269, 26225, 543, 2029, 2580, 834, 275, 269, 26225, 543, 2528, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 276, 269, 26225, 543, 519, 1560, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 276, 269, 272, 269, 11671, 323, 1751, 543, 5312, 4576, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 276, 269, 273, 269, 769, 6665, 1043, 9124, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8196, 1893, 543, 1806, 602, 1131, 9305, 609, 18295, 1053, 13326, 3872, 22759, 609, 10333, 269, 634, 3804, 568, 547, 1118, 519, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 269, 0, 4495, 2390, 513, 942, 267, 538, 519, 1164, 9390, 2197, 540, 519, 1977, 4639, 267, 972, 5030, 513, 8797, 2025, 27041, 20815, 3957, 6428, 269, 2701, 1185, 11542, 7381, 543, 2178, 585, 936, 513, 4627, 1296, 267, 3246, 12062, 543, 29454, 547, 9118, 7068, 945, 1572, 1200, 1753, 269, 7324, 1200, 1034, 19644, 2828, 941, 513, 1920, 540, 27041, 1423, 572, 910, 667, 611, 717, 639, 267, 16474, 3794, 12629, 267, 543, 741, 1079, 1762, 32138, 267, 13983, 3279, 543, 29775, 822, 269, 8528, 21946, 1185, 4767, 1082, 2242, 2429, 1200, 1279, 1272, 855, 9039, 865, 27290, 607, 1346, 1352, 14754, 538, 2487, 2053, 269, 12736, 1562, 8057, 10156, 267, 5614, 3357, 4505, 267, 543, 28782, 1085, 528, 3481, 899, 2760, 1354, 269, 1452, 4028, 10593, 4547, 827, 1007, 2591, 711, 1175, 585, 22800, 6428, 855, 849, 585, 1200, 11537, 1423, 572, 1920, 780, 3080, 1554, 267, 1247, 7234, 891, 4145, 896, 6428, 781, 8825, 8371, 267, 789, 8068, 23661, 16714, 543, 546, 13388, 1782, 1216, 2959, 1472, 873, 269, 834, 5978, 2899, 18932, 1753, 568, 7432, 883, 606, 25545, 729, 339, 14657, 2437, 521, 19042, 6428, 780, 291, 611, 717, 639, 14452, 14126, 569, 267, 834, 29012, 267, 621, 4667, 865, 269, 3776, 2757, 8023, 12406, 616, 7106, 8960, 267, 1818, 621, 2352, 585, 721, 547, 1265, 2614, 1426, 3010, 300, 558, 3794, 12629, 3773, 267, 834, 4517, 1510, 7850, 3382, 689, 27041, 20815, 267, 938, 32138, 1831, 2653, 10352, 1701, 8479, 13983, 3279, 16403, 539, 538, 267, 834, 8133, 267, 1256, 1631, 649, 723, 3323, 4955, 7992, 19692, 982, 8912, 1813, 547, 20437, 4365, 15323, 306, 19488, 267, 513, 627, 20071, 13388, 14736, 539, 909, 7452, 267, 28817, 10690, 19211, 543, 1000, 12127, 269, 898, 12306, 1524, 13031, 513, 530, 1176, 31352, 1774, 3957, 595, 297, 267, 25337, 585, 1010, 521, 569, 15361, 543, 1202, 520, 4192, 14000, 269, 1261, 6743, 8288, 337, 1176, 693, 519, 7925, 4816, 1423, 4513, 269, 11576, 532, 8594, 267, 6428, 2909, 1027, 9887, 2149, 1947, 780, 290, 297, 14229, 1229, 267, 834, 16100, 693, 596, 782, 554, 3291, 1194, 1927, 256, 2279, 12295, 540, 9561, 707, 10475, 25113, 8119, 2060, 513, 1159, 25184, 267, 646, 4797, 267, 834, 11039, 267, 3884, 1405, 602, 1175, 1932, 3983, 286, 8693, 1689, 3085, 1405, 1416, 827, 707, 12194, 610, 2115, 10590, 1656, 1055, 646, 7708, 339, 1540, 267, 6028, 3297, 513, 6531, 540, 7452, 543, 4250, 780, 1607, 7237, 695, 809, 3025, 269, 1358, 7691, 602, 741, 2042, 14201, 1405, 9678, 282, 789, 10562, 609, 1346, 540, 824, 11317, 540, 519, 5117, 269, 901, 17275, 513, 8990, 1369, 873, 547, 957, 29050, 2864, 982, 14350, 780, 29310, 267, 789, 4956, 547, 13599, 1866, 827, 741, 726, 697, 543, 21821, 948, 269, 6428, 3838, 1200, 7326, 3823, 519, 4657, 1604, 267, 1247, 519, 1423, 4513, 6045, 875, 741, 6668, 31030, 593, 2635, 27041, 20815, 9249, 269, 4256, 5048, 6949, 730, 7184, 1851, 824, 2831, 6849, 2147, 2152, 780, 2026, 2262, 3262, 267, 1004, 3459, 2921, 5469, 269, 10871, 5726, 1235, 15748, 3785, 547, 11177, 8697, 3338, 267, 2030, 811, 5065, 10664, 267, 543, 1711, 3595, 3691, 6545, 547, 2061, 14042, 11642, 269, 12207, 6594, 9194, 3270, 547, 1732, 1174, 543, 11574, 21463, 3361, 676, 13346, 12405, 780, 4913, 267, 711, 3388, 5828, 856, 9797, 269, 2368, 3425, 7283, 967, 27075, 267, 11173, 2238, 602, 28978, 2916, 1689, 269, 674, 2231, 1869, 986, 3022, 12212, 267, 8781, 1804, 2220, 520, 1127, 540, 4105, 9249, 269, 8616, 267, 5103, 22303, 267, 4126, 7173, 9229, 780, 7437, 9322, 267, 1620, 267, 543, 2962, 267, 6428, 543, 1200, 2828, 7307, 547, 1118, 1713, 3356, 2509, 8497, 741, 17866, 1158, 269, 1358, 4121, 3407, 4245, 827, 6043, 267, 9316, 267, 543, 8296, 269, 4107, 11932, 267, 789, 6956, 602, 1169, 13442, 20974, 1229, 543, 5129, 513, 1909, 538, 4509, 8733, 3666, 780, 5804, 1287, 593, 267, 8164, 12219, 267, 3079, 540, 13151, 17741, 547, 21817, 267, 789, 8359, 17604, 267, 22348, 2933, 540, 1018, 1223, 581, 6913, 950, 12271, 10726, 1927, 585, 513, 1455, 2014, 269, 2991, 782, 267, 1256, 513, 5318, 267, 9583, 1045, 4532, 1043, 11769, 899, 2916, 1689, 7948, 1405, 2736, 519, 7554, 4646, 998, 8994, 2463, 267, 2648, 267, 543, 7104, 786, 12741, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 1281, 2916, 1689, 1860, 27041, 20815, 17466, 3662, 2249, 888, 20458, 1689, 5540, 27041, 20815, 17466, 3662, 2249, 538, 1896, 2081, 971, 607, 1384, 272, 269, 22159, 540, 26335, 281, 9603, 547, 2916, 1689, 267, 519, 27041, 20815, 5117, 568, 4742, 5671, 518, 543, 28555, 267, 4929, 519, 5786, 540, 27041, 20815, 3382, 267, 799, 568, 513, 2556, 7226, 585, 27041, 20815, 17466, 3662, 2249, 780, 273, 269, 25841, 5253, 2997, 22355, 281, 15448, 538, 13247, 3270, 543, 2837, 666, 2569, 519, 2208, 543, 8244, 540, 27041, 20815, 267, 799, 568, 513, 2629, 1426, 2707, 585, 27041, 20815, 17466, 3662, 2249, 780, 274, 269, 16842, 11485, 540, 8187, 13933, 281, 14451, 5210, 543, 5671, 518, 2175, 2333, 519, 1981, 540, 30481, 267, 799, 666, 6861, 27041, 20815, 7226, 267, 2417, 4227, 7226, 585, 27041, 20815, 17466, 3662, 2249, 780, 275, 269, 1325, 614, 566, 769, 24779, 18963, 281, 15448, 538, 519, 12557, 543, 8515, 540, 12119, 2242, 666, 7519, 519, 9194, 3270, 540, 27041, 20815, 17466, 3662, 2249, 267, 4929, 873, 547, 1847, 547, 2127, 609, 1447, 5078, 7226, 14325, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 6637, 476, 280, 281, 16176, 3333, 27739, 543, 4787, 328, 532, 910, 8342, 15604, 11242, 2439, 5970, 596, 2479, 6836, 6972, 998, 2620, 6777, 286, 898, 781, 7168, 2182, 267, 3884, 1405, 621, 26834, 2659, 3952, 16173, 883, 519, 2571, 3043, 8869, 267, 1818, 621, 2352, 547, 1491, 1776, 1900, 4464, 269, 1809, 1018, 952, 594, 5143, 596, 972, 729, 513, 1259, 547, 3802, 593, 1283, 540, 519, 6777, 899, 621, 729, 4396, 2666, 286, 2334, 781, 1141, 6777, 3333, 3996, 2097, 538, 13561, 2439, 5331, 1373, 2111, 547, 2263, 519, 4190, 5162, 8916, 4988, 538, 28448, 15468, 6777, 1247, 9363, 3636, 543, 18241, 3330, 707, 28890, 25192, 269, 2060, 6777, 3333, 3996, 2269, 5529, 5196, 707, 3952, 267, 596, 666, 1350, 728, 24672, 936, 519, 13792, 14099, 267, 6028, 3297, 4986, 855, 707, 1378, 1305, 540, 13475, 269, 16319, 1187, 267, 3085, 1405, 621, 2496, 3086, 1577, 803, 6338, 596, 547, 1776, 5863, 5162, 2534, 1107, 31562, 256, 1403, 596, 2648, 3432, 543, 7045, 267, 1287, 23510, 1524, 24824, 593, 1079, 1279, 12545, 7923, 547, 707, 3952, 1522, 1175, 1831, 707, 1007, 5172, 2250, 830, 269, 4787, 529, 1450, 596, 547, 1286, 557, 7140, 607, 596, 13956, 10239, 1938, 267, 4743, 519, 26546, 2011, 19060, 1996, 707, 3068, 543, 6217, 519, 17598, 3280, 540, 29511, 344, 6777, 9944, 707, 8728, 780, 1103, 713, 3184, 267, 649, 786, 1445, 5097, 593, 6777, 3333, 27739, 2094, 938, 1292, 3804, 1934, 568, 547, 1683, 1344, 827, 1585, 5162, 5026, 267, 2523, 1346, 1644, 547, 6777, 3333, 27739, 269, 1717, 267, 649, 3112, 11716, 519, 13858, 1158, 540, 31562, 4625, 267, 865, 1810, 1405, 5855, 282, 649, 3513, 5905, 2390, 602, 1932, 2439, 4131, 781, 1376, 676, 1565, 811, 827, 6777, 3333, 3996, 269, 1358, 941, 1101, 1031, 5215, 540, 1296, 3516, 676, 7111, 4892, 945, 2877, 513, 1259, 547, 2951, 2066, 5318, 20073, 525, 540, 6777, 344, 2244, 1282, 10792, 24475, 269, 12465, 6777, 3333, 3996, 6743, 3833, 1114, 689, 2221, 781, 8747, 1107, 789, 941, 1500, 856, 540, 11308, 14604, 609, 986, 3369, 728, 22725, 902, 21401, 17401, 2066, 873, 269, 7073, 6777, 3333, 3996, 1869, 4196, 519, 1482, 3483, 855, 723, 7960, 3648, 538, 2474, 540, 1374, 543, 2326, 269, 27009, 267, 1034, 6777, 3333, 3996, 4183, 17426, 11956, 14604, 609, 14463, 632, 9535, 1500, 689, 5068, 610, 12285, 269, 2368, 1256, 2097, 609, 3710, 2987, 20086, 3457, 602, 948, 2061, 1793, 6235, 593, 476, 5390, 7252, 780, 3383, 875, 4010, 1281, 9849, 6777, 3333, 3996, 1118, 621, 4443, 547, 3802, 538, 2620, 6777, 286, 4270, 267, 741, 1804, 2627, 1858, 2733, 2373, 707, 2597, 936, 513, 3677, 1858, 267, 7303, 707, 3952, 689, 29855, 1932, 7184, 883, 519, 6777, 269, 6056, 540, 873, 607, 13735, 986, 30835, 585, 707, 3952, 256, 3958, 267, 1082, 6777, 3333, 3996, 723, 11329, 21217, 602, 948, 4412, 601, 596, 4464, 609, 1142, 1900, 267, 1454, 899, 875, 3165, 946, 741, 27634, 547, 7669, 998, 1216, 780, 3086, 602, 596, 1174, 519, 9238, 540, 6777, 3333, 27739, 1577, 781, 2911, 13713, 827, 31562, 269, 1306, 5018, 4505, 267, 31562, 3322, 1140, 2286, 1279, 267, 6366, 12545, 630, 12921, 529, 264, 547, 707, 3952, 543, 1210, 873, 547, 13472, 1524, 24824, 269, 1703, 616, 1896, 2010, 540, 31562, 267, 1519, 620, 18090, 630, 6658, 24824, 1070, 3444, 28029, 787, 267, 1954, 5598, 267, 543, 7658, 5658, 269, 3962, 9015, 814, 922, 2189, 2553, 543, 3937, 4170, 267, 855, 789, 782, 2671, 835, 1455, 3804, 281, 2348, 1187, 593, 519, 6777, 2439, 2690, 14987, 5461, 538, 3843, 31562, 267, 10519, 532, 10591, 568, 2356, 519, 1655, 4781, 2394, 596, 6430, 2436, 610, 711, 621, 781, 1945, 596, 1616, 547, 11654, 2417, 269, 1879, 7446, 1236, 529, 267, 2015, 2188, 971, 607, 707, 4463, 267, 2597, 267, 5578, 1377, 267, 543, 9053, 2511, 540, 31562, 269, 1280, 3236, 267, 2576, 1175, 4358, 856, 1131, 2693, 4324, 689, 513, 6292, 540, 16351, 1236, 529, 2966, 585, 9543, 19527, 543, 8483, 1516, 2490, 5546, 780, 3080, 1383, 540, 971, 19444, 7888, 1236, 529, 568, 519, 5292, 9383, 4469, 1515, 476, 278, 269, 273, 267, 799, 649, 4121, 827, 693, 519, 4098, 540, 713, 3184, 269, 4982, 5792, 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 ]

[ 6999, 602, 519, 2112, 6244, 2247, 540, 7332, 17119, 1143, 1131, 723, 1044, 28093, 4240, 609, 930, 540, 1346, 28975, 269, 634, 20352, 540, 1686, 814, 5258, 519, 1079, 10764, 267, 3079, 540, 3850, 873, 547, 1071, 7721, 626, 543, 4324, 835, 1776, 269, 16593, 3788, 602, 930, 1554, 519, 1000, 664, 4927, 2743, 563, 763, 9699, 17496, 540, 5020, 454, 763, 1079, 10723, 5931, 540, 18420, 616, 968, 763, 13225, 698, 822, 611, 8566, 7534, 892, 543, 519, 968, 2419, 663, 690, 5984, 772, 20725, 611, 6100, 634, 3844, 6249, 540, 891, 5931, 568, 1582, 2173, 2120, 344, 267, 543, 519, 13287, 540, 4998, 2932, 269, 9521, 824, 24866, 540, 3504, 2053, 267, 519, 1582, 2173, 2120, 344, 540, 713, 4984, 568, 7357, 12560, 267, 3079, 540, 1128, 3739, 513, 2112, 331, 867, 779, 1212, 539, 269, 7629, 4288, 543, 22293, 616, 519, 14763, 540, 1582, 3146, 531, 1436, 267, 1317, 789, 2014, 4250, 563, 24137, 268, 3453, 532, 936, 476, 273, 267, 1822, 1296, 267, 649, 666, 4019, 891, 1480, 9808, 2830, 625, 547, 519, 1353, 540, 476, 736, 628, 11416, 10168, 269, 1548, 649, 798, 711, 1174, 267, 649, 4250, 269, 901, 729, 693, 519, 2295, 540, 1520, 20462, 13609, 779, 20655, 540, 7642, 269, 4635, 9952, 9070, 663, 1235, 267, 13609, 8719, 3765, 24483, 609, 27313, 1944, 6013, 543, 3765, 30726, 3074, 540, 7642, 563, 28074, 540, 1977, 10168, 1996, 17051, 666, 581, 14360, 547, 22293, 543, 4250, 269, 21540, 12198, 26870, 519, 5137, 540, 6498, 1063, 519, 14797, 267, 543, 1018, 789, 1705, 711, 917, 540, 1142, 824, 267, 1317, 789, 8359, 711, 547, 917, 267, 789, 8719, 609, 4250, 563, 9213, 267, 649, 3068, 513, 1486, 26167, 6370, 602, 267, 585, 1732, 610, 8338, 267, 3322, 519, 30925, 540, 8567, 543, 5771, 269, 901, 568, 711, 519, 1101, 942, 891, 4229, 723, 2458, 3660, 269, 634, 12724, 3547, 941, 827, 8567, 779, 3801, 547, 14710, 5771, 269, 4653, 938, 4161, 568, 20408, 711, 1152, 938, 22293, 540, 5771, 267, 855, 5771, 779, 22293, 540, 8567, 630, 663, 922, 2067, 1071, 3146, 5554, 542, 267, 17194, 1916, 763, 9699, 779, 5433, 602, 972, 568, 606, 954, 268, 6618, 4369, 540, 782, 1373, 267, 543, 26378, 883, 602, 666, 581, 14059, 998, 519, 1769, 540, 1702, 267, 8744, 8521, 519, 5207, 5168, 269, 901, 3406, 585, 5168, 568, 2484, 811, 982, 606, 3134, 31906, 531, 2165, 267, 513, 3009, 2262, 585, 1715, 6520, 32339, 610, 3237, 3843, 547, 1128, 650, 2418, 538, 741, 1453, 269, 898, 6013, 693, 519, 2295, 540, 3388, 649, 798, 563, 763, 2797, 610, 4108, 6205, 4502, 1010, 610, 1200, 6070, 6487, 602, 519, 1152, 5796, 4502, 6217, 568, 519, 796, 341, 7568, 1639, 5168, 269, 1677, 3295, 3283, 262, 1582, 609, 9811, 2367, 945, 2995, 1864, 1152, 1018, 646, 6499, 547, 5873, 568, 547, 5480, 9568, 269, 13609, 1705, 621, 269, 9478, 23237, 1705, 621, 269, 31474, 570, 572, 2389, 2426, 1705, 621, 269, 6733, 693, 1018, 1686, 6645, 827, 741, 11678, 269, 590, 5417, 600, 26036, 572, 514, 3576, 1100, 5796, 269, 26681, 1281, 13690, 808, 784, 16927, 331, 540, 3345, 9705, 563, 6944, 2858, 602, 609, 5518, 6723, 654, 269, 17312, 267, 945, 814, 11303, 5128, 609, 4810, 4108, 267, 2797, 543, 20320, 8186, 269, 15284, 17619, 5795, 6723, 595, 269, 21244, 7047, 324, 1025, 534, 3832, 950, 621, 3357, 547, 4640, 543, 10986, 3664, 1282, 2622, 2782, 4083, 269, 17619, 729, 796, 11069, 5962, 609, 519, 11068, 13523, 3484, 7911, 267, 667, 342, 697, 29276, 327, 1077, 267, 950, 621, 729, 6069, 602, 519, 32249, 594, 651, 581, 3957, 607, 2212, 540, 772, 2529, 269, 4229, 538, 2342, 267, 855, 621, 729, 21244, 779, 1289, 563, 22117, 619, 6432, 547, 741, 9666, 619, 269, 1358, 849, 1118, 7125, 602, 979, 1996, 519, 10286, 950, 789, 1745, 789, 723, 9715, 519, 1702, 547, 798, 865, 269, 14062, 12493, 19557, 547, 1010, 1252, 1023, 1282, 519, 6406, 2782, 267, 855, 5555, 4718, 998, 6723, 15966, 548, 961, 534, 779, 588, 718, 12485, 267, 7446, 3079, 513, 2489, 899, 772, 569, 1087, 525, 16827, 968, 20357, 646, 24515, 3034, 3719, 519, 3406, 585, 5168, 568, 711, 1945, 2124, 326, 730, 1152, 547, 1252, 1023, 267, 6305, 26110, 543, 3465, 6342, 269, 898, 568, 1945, 782, 540, 721, 1590, 2119, 547, 1265, 269, 898, 568, 851, 540, 1946, 594, 993, 1603, 713, 1433, 269, 594, 993, 3843, 547, 1265, 14768, 540, 5168, 538, 1686, 602, 679, 13097, 543, 2995, 803, 602, 1018, 594, 723, 5156, 267, 1250, 26069, 543, 519, 10274, 594, 723, 1031, 547, 1118, 3664, 543, 1489, 3123, 267, 616, 519, 1318, 3283, 269, 901, 3406, 666, 1491, 803, 547, 16602, 8513, 269, 634, 5963, 24084, 2989, 1590, 581, 8348, 547, 1265, 13337, 538, 1010, 1034, 10723, 16933, 269, 1403, 519, 5168, 5012, 1524, 606, 13311, 2619, 267, 1152, 950, 646, 9607, 713, 4628, 666, 646, 2285, 1483, 1489, 547, 519, 1919, 646, 23297, 547, 3494, 538, 281, 2696, 267, 6214, 267, 6082, 267, 1920, 563, 8489, 18420, 15320, 689, 519, 5259, 4998, 568, 538, 519, 1253, 6412, 540, 6214, 269, 634, 9699, 2203, 3091, 513, 3391, 547, 18997, 519, 1367, 267, 855, 8813, 2110, 538, 922, 5075, 585, 2486, 607, 513, 2898, 269, 2368, 723, 11911, 519, 9699, 3310, 547, 2413, 29450, 1235, 543, 519, 4158, 14719, 2209, 540, 3943, 16650, 1143, 267, 855, 594, 1265, 713, 547, 581, 513, 12701, 563, 763, 1101, 3804, 540, 9699, 1582, 2173, 2120, 344, 568, 547, 2744, 2614, 1582, 268, 32474, 547, 3635, 1379, 936, 1866, 269, 1358, 4718, 519, 3635, 540, 1379, 547, 581, 811, 540, 606, 25191, 1184, 267, 971, 607, 513, 2385, 30512, 610, 2875, 14482, 12329, 2078, 269, 634, 16380, 3576, 621, 2417, 267, 3564, 4116, 24713, 550, 267, 547, 519, 5137, 540, 2527, 1565, 7740, 630, 1492, 4098, 540, 12621, 264, 543, 547, 519, 3498, 540, 2797, 1379, 563, 763, 5898, 540, 9699, 6138, 568, 538, 519, 14762, 585, 4998, 4441, 540, 2932, 269, 1452, 616, 2938, 607, 8471, 4441, 676, 799, 3425, 3391, 741, 2623, 269, 901, 568, 538, 1463, 4334, 547, 519, 9597, 5652, 5837, 8887, 13659, 602, 11479, 12666, 2219, 269, 634, 9699, 779, 1305, 1164, 3853, 602, 941, 711, 8209, 12492, 762, 267, 538, 1931, 547, 2057, 1582, 1606, 15384, 8351, 267, 5360, 659, 1890, 543, 13313, 269, 634, 3610, 540, 891, 24866, 941, 1572, 575, 32203, 267, 945, 8179, 547, 4001, 676, 1383, 269, 2561, 30068, 9291, 22735, 1705, 711, 900, 3634, 891, 3450, 2409, 950, 621, 3357, 547, 18836, 532, 1010, 1383, 547, 1010, 8250, 267, 595, 3559, 22855, 563, 298, 22611, 25260, 779, 968, 15430, 6269, 657, 1431, 540, 3127, 779, 11096, 2684, 625, 892, 2829, 602, 519, 4095, 3450, 2245, 7740, 593, 519, 25191, 6044, 1317, 519, 4116, 666, 1152, 581, 2500, 952, 646, 6487, 1010, 1053, 7961, 25958, 2115, 269, 901, 3587, 811, 2352, 950, 3450, 513, 1804, 1362, 610, 3056, 513, 2527, 3350, 269, 2755, 519, 25191, 1505, 568, 8098, 10928, 267, 621, 7182, 1346, 19876, 883, 5107, 540, 5718, 936, 1082, 269, 1717, 267, 621, 1100, 8969, 3091, 513, 1390, 1101, 1900, 563, 19733, 568, 519, 4550, 1673, 1774, 547, 4250, 267, 799, 14340, 689, 519, 21903, 540, 22293, 269, 634, 9699, 779, 1767, 602, 9409, 543, 5609, 941, 2192, 16272, 602, 21256, 856, 540, 741, 32370, 269, 1635, 17766, 1769, 593, 519, 1843, 540, 741, 32370, 267, 789, 22848, 877, 4250, 540, 824, 1480, 7919, 1247, 6544, 1516, 519, 968, 29774, 540, 1373, 2223, 519, 7104, 5160, 607, 621, 729, 267, 540, 782, 1480, 6228, 269, 3414, 713, 1184, 267, 799, 3340, 1390, 1582, 16162, 23002, 267, 789, 25189, 519, 5207, 5168, 563, 4131, 803, 4983, 713, 6138, 267, 799, 568, 519, 4493, 540, 19413, 779, 10752, 267, 543, 1247, 15626, 14543, 547, 13498, 930, 1271, 1919, 602, 594, 1589, 1686, 814, 6026, 721, 269, 634, 1523, 602, 9409, 1281, 711, 2291, 4849, 538, 938, 12194, 568, 2588, 26508, 267, 538, 1250, 2070, 269, 19413, 267, 519, 31390, 604, 626, 267, 729, 2899, 4280, 2436, 646, 1131, 723, 10353, 13609, 952, 519, 16586, 22415, 1117, 883, 3127, 267, 543, 519, 8575, 32257, 2965, 1767, 1945, 827, 11755, 543, 519, 1379, 540, 22233, 3123, 563, 4131, 803, 1448, 856, 513, 1906, 18408, 827, 19413, 267, 799, 568, 711, 547, 3954, 580, 3433, 1010, 1318, 995, 1747, 607, 513, 1390, 812, 267, 855, 547, 1397, 1864, 547, 581, 513, 3908, 835, 945, 1500, 519, 1034, 540, 513, 968, 704, 2739, 892, 3510, 269, 3689, 267, 19413, 1705, 2370, 952, 4376, 547, 20834, 1125, 1996, 519, 1079, 1390, 859, 2812, 602, 9782, 899, 9649, 15315, 2427, 8386, 20933, 609, 1010, 3140, 2053, 267, 9294, 1143, 543, 4004, 1143, 269, 3509, 12703, 12075, 10692, 609, 519, 3703, 1996, 519, 16586, 543, 519, 5545, 267, 855, 711, 896, 19413, 779, 9206, 269, 19413, 8359, 547, 28586, 519, 3703, 267, 16550, 873, 547, 2322, 3407, 2200, 883, 519, 4095, 2243, 267, 693, 513, 942, 950, 789, 941, 1130, 5050, 569, 10010, 267, 693, 1101, 782, 676, 741, 561, 2158, 727, 267, 1996, 519, 21647, 269, 19413, 779, 11802, 936, 519, 7810, 1235, 7640, 525, 1454, 547, 519, 30701, 2200, 540, 519, 10504, 269, 898, 729, 2622, 2782, 4083, 602, 8694, 519, 3703, 7276, 811, 982, 1022, 2582, 3815, 563, 294, 16905, 849, 6956, 602, 538, 519, 3703, 646, 5185, 513, 12560, 267, 5837, 267, 1649, 5271, 565, 550, 535, 4141, 269, 1261, 6785, 713, 267, 16941, 593, 621, 267, 5129, 547, 621, 269, 898, 729, 513, 10375, 1259, 547, 3035, 1010, 7475, 267, 547, 8275, 602, 519, 2296, 941, 25091, 547, 1010, 12560, 2014, 269, 1215, 1082, 5003, 4536, 1131, 723, 1577, 19413, 1291, 1010, 1004, 538, 4708, 286, 634, 772, 2529, 1421, 540, 1576, 267, 855, 945, 3116, 286, 634, 3943, 286, 24356, 741, 1686, 538, 4025, 899, 1473, 5255, 2088, 543, 27988, 807, 6645, 721, 8335, 269, 15742, 569, 711, 519, 16586, 267, 5545, 267, 4457, 267, 610, 519, 32228, 2103, 563, 294, 16905, 779, 4838, 3091, 1271, 4245, 538, 1483, 335, 7035, 1731, 267, 543, 27875, 513, 8559, 538, 18420, 269, 2755, 519, 1523, 602, 9409, 568, 1875, 7721, 11962, 18327, 547, 581, 513, 30940, 1907, 538, 519, 19070, 531, 540, 2413, 12666, 1143, 267, 621, 568, 519, 6587, 540, 519, 4168, 6138, 543, 13733, 538, 519, 3068, 540, 513, 1158, 1686, 538, 799, 5208, 543, 23998, 814, 6410, 10239, 269, 5015, 267, 835, 9060, 538, 19413, 779, 6214, 513, 8909, 13777, 1006, 269, 4495, 646, 729, 18272, 3990, 267, 1010, 1655, 4566, 8604, 547, 979, 1659, 787, 269, 3571, 2197, 729, 14324, 607, 8974, 543, 814, 1044, 519, 6429, 540, 10795, 1193, 1057, 1063, 9699, 779, 543, 7332, 9031, 2479, 2094, 563, 296, 23294, 1125, 585, 1250, 30852, 540, 18420, 267, 543, 676, 1100, 1797, 798, 594, 6999, 547, 14850, 18029, 577, 621, 269, 6736, 15738, 856, 930, 9475, 538, 519, 1523, 267, 594, 993, 15738, 856, 922, 840, 32383, 23954, 1317, 594, 1265, 621, 606, 24215, 17709, 1106, 540, 2069, 269, 594, 1294, 19320, 602, 798, 2291, 609, 8567, 269, 634, 5963, 24084, 2989, 9699, 543, 4168, 1281, 711, 4250, 5208, 1317, 646, 6487, 602, 3564, 713, 7706, 540, 9637, 6013, 1945, 4190, 543, 18163, 563, 763, 2069, 540, 9699, 779, 7740, 593, 2185, 2418, 267, 538, 26799, 9753, 540, 2956, 269, 594, 3226, 23507, 519, 2185, 2418, 267, 543, 1265, 873, 711, 1175, 24084, 2287, 267, 855, 1187, 543, 3362, 11368, 883, 5375, 2219, 269, 634, 1101, 568, 1572, 1488, 15925, 267, 799, 2418, 5763, 543, 3959, 269, 6153, 585, 519, 9699, 779, 269, 1358, 616, 711, 1514, 1235, 256, 2986, 1576, 267, 713, 1871, 568, 1152, 519, 1101, 1931, 540, 2956, 267, 1317, 789, 5433, 602, 1247, 3959, 568, 1271, 267, 519, 24084, 2989, 1373, 12034, 519, 2192, 639, 800, 2470, 540, 922, 1871, 269, 901, 949, 711, 1404, 1134, 609, 1346, 945, 2697, 741, 1747, 538, 2486, 9003, 593, 519, 2450, 540, 519, 4871, 6589, 267, 855, 18562, 3091, 606, 18163, 5168, 602, 6013, 693, 519, 2295, 540, 938, 5837, 22315, 563, 763, 2034, 1871, 568, 918, 4821, 267, 543, 1586, 267, 594, 2161, 2696, 12196, 2048, 655, 269, 918, 4821, 4025, 1871, 593, 2283, 783, 543, 4638, 12257, 267, 543, 594, 993, 782, 585, 602, 269, 594, 993, 513, 4168 ]

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

[ 2762, 281, 5071, 14362, 543, 25895, 25790, 454, 320, 269, 12472, 540, 7392, 5865, 281, 5530, 519, 8129, 543, 11144, 540, 1826, 2183, 1374, 267, 7234, 9565, 5515, 971, 607, 29312, 717, 9790, 6199, 267, 5261, 16629, 23127, 267, 543, 19378, 22868, 269, 21414, 2413, 3059, 13944, 8021, 543, 2708, 741, 1764, 593, 3308, 7924, 563, 321, 269, 29456, 1299, 769, 12807, 281, 18918, 609, 5717, 4478, 3015, 1374, 3741, 267, 3226, 6236, 3309, 9458, 543, 3755, 945, 2154, 4244, 12043, 1813, 547, 2168, 23043, 610, 2542, 7965, 269, 2552, 6374, 622, 2081, 538, 799, 8537, 1462, 2762, 20383, 609, 4906, 262, 10752, 827, 15962, 16815, 7023, 563, 322, 269, 14464, 11106, 1299, 10724, 4804, 281, 8178, 5571, 7760, 538, 5841, 4987, 543, 3684, 1565, 6620, 602, 25117, 1462, 4919, 5079, 269, 13891, 622, 5683, 6286, 540, 13461, 593, 3642, 24378, 6272, 8957, 1480, 2275, 2761, 539, 15885, 780, 274, 269, 674, 29183, 27065, 998, 11978, 4919, 15331, 566, 281, 19750, 10241, 543, 18768, 454, 320, 269, 14594, 12304, 24614, 281, 15232, 3946, 6823, 2238, 5473, 2757, 1820, 14708, 2409, 899, 4484, 12304, 8228, 267, 30951, 267, 543, 12285, 16826, 26002, 269, 2561, 3285, 622, 519, 28241, 7907, 540, 13504, 543, 1957, 267, 10452, 2390, 519, 10444, 7516, 540, 3860, 4082, 12082, 538, 13400, 6386, 563, 321, 269, 10439, 17826, 1299, 11910, 28819, 281, 8073, 3312, 1568, 540, 3308, 6965, 676, 10128, 11052, 267, 13513, 267, 543, 5499, 29282, 269, 19873, 25360, 332, 476, 3393, 281, 272, 607, 6667, 585, 13167, 8353, 24312, 24886, 15885, 29689, 609, 1821, 10899, 4644, 563, 322, 269, 5564, 12855, 10558, 725, 281, 3763, 1617, 574, 27567, 14245, 6220, 1462, 2762, 1369, 3059, 5867, 267, 19234, 609, 14318, 267, 3280, 2360, 267, 543, 7317, 2934, 269, 1955, 10028, 4906, 262, 9423, 1935, 950, 14379, 1950, 2093, 3927, 780, 6962, 912, 9961, 713, 1770, 267, 1053, 786, 15052, 741, 1620, 540, 13002, 543, 1462, 2762, 607, 7533, 3334, 540, 1893, 6575, 543, 5289, 10459, 269, 1306, 789, 2263, 13654, 6436, 267, 5969, 12967, 4066, 267, 543, 3860, 3156, 267, 6267, 1058, 11349, 30190, 20785, 1222, 2853, 10704, 593, 19825, 2696, 781, 6478, 543, 3571, 2813, 1158, 269, 11086, 267, 713, 15834, 7634, 11394, 547, 7668, 2104, 7855, 267, 9858, 267, 543, 3401, 547, 8415, 1462, 4919, 4082, 607, 513, 3532, 1907, 585, 5807, 4276, 267, 8296, 267, 543, 27527, 2066, 3309, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 3080, 540, 519, 3119, 3853, 540, 938, 10026, 1153, 568, 3450, 3214, 875, 547, 581, 1053, 540, 2696, 779, 2262, 543, 2696, 779, 1158, 269, 769, 1931, 547, 1205, 519, 1655, 689, 741, 2069, 267, 543, 689, 1272, 267, 3214, 991, 547, 1831, 968, 323, 559, 580, 550, 20785, 3034, 763, 16504, 6437, 568, 2966, 547, 1683, 1053, 609, 513, 9488, 543, 23887, 1982, 540, 1565, 1759, 593, 513, 4168, 23381, 269, 11334, 4217, 1053, 538, 3384, 2556, 1983, 543, 1702, 1247, 30740, 519, 2067, 7279, 540, 1762, 1453, 269, 1358, 960, 547, 948, 1053, 3715, 513, 7029, 547, 17284, 269, 3414, 519, 16516, 6437, 267, 2689, 267, 543, 6268, 267, 3610, 9337, 543, 13217, 3450, 1570, 543, 14292, 2553, 538, 606, 4674, 547, 948, 1053, 3914, 1898, 3446, 7400, 15334, 269, 634, 9165, 540, 1565, 538, 1142, 1641, 1858, 568, 2966, 547, 1628, 593, 519, 3105, 1032, 779, 6044, 543, 547, 5965, 1053, 585, 1967, 538, 519, 1985, 3446, 1377, 269, 3414, 1134, 13807, 10165, 10467, 602, 2333, 538, 6988, 543, 1898, 7115, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 5678, 8551, 1315, 29986, 1315, 11978, 2762, 543, 674, 2632, 17607, 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 ]

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

[ 20101, 9572, 335, 285, 2999, 15590, 285, 2999, 335, 285, 2862, 269, 3371, 568, 513, 6169, 630, 23890, 540, 681, 7676, 264, 540, 519, 1482, 3948, 540, 14858, 321, 630, 5976, 1269, 325, 7807, 303, 328, 259, 2567, 9572, 335, 285, 2999, 335, 285, 2252, 649, 1577, 700, 581, 519, 1305, 540, 1269, 341, 259, 262, 338, 971, 602, 1614, 540, 519, 5072, 540, 1269, 325, 24449, 259, 9114, 593, 513, 1899, 267, 649, 1205, 1269, 295, 1638, 27456, 21174, 15927, 5115, 3709, 341, 22174, 700, 348, 3519, 341, 6600, 24449, 7751, 952, 1269, 19592, 535, 19749, 354, 274, 10608, 9572, 335, 285, 2999, 335, 285, 763, 5817, 2856, 568, 1360, 2147, 547, 602, 540, 14858, 321, 27135, 335, 285, 2999, 335, 285, 13750, 906, 281, 2913, 1269, 325, 259, 581, 513, 9971, 540, 4110, 693, 2547, 476, 274, 269, 27539, 602, 1269, 320, 318, 271, 259, 543, 1269, 321, 318, 271, 259, 616, 1079, 3982, 2241, 5072, 540, 1269, 325, 18750, 9984, 341, 318, 271, 10608, 3973, 585, 1269, 341, 259, 538, 513, 1507, 8378, 540, 1269, 341, 318, 271, 8961, 972, 616, 1079, 2241, 5072, 1269, 320, 17635, 29408, 1269, 321, 17635, 7751, 540, 1269, 325, 18750, 9984, 341, 259, 609, 1269, 320, 17635, 318, 271, 6661, 320, 318, 271, 259, 543, 1269, 321, 17635, 318, 271, 6661, 321, 318, 271, 10608, 769, 713, 2013, 267, 9572, 335, 285, 2999, 565, 285, 2999, 2993, 12481, 335, 285, 2252, 585, 930, 6378, 1950, 1297, 1269, 339, 315, 928, 336, 476, 271, 267, 272, 8961, 519, 2868, 25806, 1599, 1269, 341, 315, 14090, 560, 334, 512, 513, 17635, 264, 1341, 630, 272, 2389, 264, 321, 17635, 7751, 568, 513, 3586, 1269, 322, 8961, 1287, 1269, 322, 259, 568, 513, 2565, 1448, 540, 1269, 325, 259, 543, 1269, 325, 259, 814, 513, 24364, 15340, 827, 1269, 322, 10608, 9572, 335, 20565, 2993, 285, 2999, 2993, 12481, 335, 285, 2252, 519, 10126, 1269, 314, 320, 318, 271, 267, 536, 318, 271, 316, 259, 568, 513, 10465, 6316, 540, 519, 20372, 1269, 3519, 341, 6600, 3709, 341, 318, 271, 348, 7751, 543, 1100, 824, 1448, 538, 519, 1899, 998, 1269, 320, 318, 271, 267, 536, 318, 271, 259, 568, 25528, 547, 1269, 341, 318, 271, 8961, 1287, 21742, 335, 20565, 2993, 285, 21742, 565, 285, 2999, 335, 285, 273, 269, 272, 585, 1269, 341, 259, 18481, 2673, 547, 1269, 341, 318, 271, 8961, 519, 10126, 1269, 314, 320, 17635, 1070, 321, 17635, 13580, 259, 568, 513, 10465, 6316, 540, 519, 20372, 1269, 3519, 341, 6600, 3709, 341, 348, 29408, 543, 585, 1022, 1269, 339, 22174, 9948, 271, 267, 272, 314, 8961, 519, 4786, 1269, 341, 315, 14090, 560, 334, 28580, 17635, 11924, 263, 272, 2389, 264, 536, 17635, 7751, 568, 606, 1930, 11837, 27135, 335, 285, 2999, 335, 285, 273, 269, 273, 269, 634, 1899, 998, 1269, 320, 318, 271, 267, 536, 318, 271, 259, 568, 3544, 4399, 15927, 5115, 24449, 1230, 341, 6600, 3709, 341, 348, 7751, 27135, 335, 285, 2999, 335, 285, 27893, 269, 476, 272, 269, 1234, 680, 5217, 1269, 325, 18750, 7751, 676, 1269, 325, 18750, 2275, 7751, 952, 2556, 267, 649, 949, 8263, 1269, 322, 284, 271, 10608, 8074, 602, 1269, 320, 315, 14090, 560, 334, 536, 6600, 5416, 4297, 259, 568, 3989, 543, 2868, 25806, 538, 513, 8378, 540, 1269, 320, 318, 271, 8961, 17598, 602, 1269, 321, 6600, 5416, 318, 271, 4297, 284, 321, 318, 271, 259, 543, 1269, 325, 6357, 6600, 5416, 4297, 6661, 325, 5416, 30879, 898, 5205, 602, 1269, 3279, 23444, 272, 2389, 264, 321, 6600, 5416, 4297, 315, 25406, 476, 271, 259, 865, 1269, 321, 6600, 5416, 4297, 7807, 13320, 346, 3279, 2410, 339, 268, 272, 23201, 4475, 1269, 325, 5416, 6661, 325, 7268, 13320, 2715, 3279, 2410, 339, 268, 272, 348, 7751, 538, 513, 8378, 540, 1269, 320, 8961, 3976, 538, 519, 3003, 1950, 7077, 269, 24951, 519, 14170, 649, 9959, 602, 4399, 13320, 512, 346, 339, 268, 272, 4151, 568, 513, 3597, 540, 9322, 543, 1269, 325, 21948, 271, 21174, 13320, 346, 339, 2410, 339, 268, 272, 348, 535, 21948, 271, 30879, 4635, 4399, 13320, 512, 346, 339, 268, 272, 4153, 928, 476, 272, 259, 649, 1205, 1269, 325, 21948, 271, 6661, 271, 10608, 1323, 1383, 568, 1269, 345, 317, 277, 266, 274, 345, 317, 275, 268, 276, 345, 317, 273, 10608, 21742, 335, 285, 2999, 335, 285, 273, 269, 272, 269, 634, 2783, 1797, 602, 782, 519, 824, 2798, 538, 1269, 325, 13064, 272, 12917, 341, 318, 271, 7751, 616, 8659, 538, 835, 540, 519, 1930, 3368, 14742, 1642, 574, 1243, 676, 519, 1899, 998, 1269, 320, 318, 271, 267, 536, 318, 271, 10608, 901, 568, 5693, 606, 1930, 2783, 27135, 335, 285, 2999, 335, 285, 3086, 952, 1269, 3279, 17635, 11924, 263, 272, 2389, 264, 536, 17635, 9385, 25406, 524, 8961, 676, 8672, 476, 272, 1269, 322, 259, 1590, 581, 513, 2565, 1448, 543, 513, 4099, 540, 15340, 543, 1269, 3519, 341, 6600, 3709, 341, 318, 271, 348, 7751, 1131, 723, 1044, 21136, 609, 2463, 547, 1269, 322, 10608, 901, 568, 711, 2009, 676, 938, 13429, 602, 782, 519, 824, 2798, 540, 1269, 325, 13064, 272, 12917, 341, 318, 271, 7751, 630, 663, 972, 568, 693, 2547, 835, 1813, 547, 519, 13429, 593, 519, 4110, 540, 1269, 325, 259, 543, 593, 519, 16134, 540, 1269, 320, 318, 271, 267, 536, 318, 271, 259, 607, 5072, 540, 1269, 325, 3709, 341, 318, 271, 4151, 264, 616, 593, 835, 2427, 540, 519, 1899, 998, 1269, 320, 318, 271, 267, 536, 318, 271, 10608, 21742, 335, 285, 2999, 335, 285, 273, 269, 273, 269, 1284, 949, 1413, 693, 519, 1930, 1305, 1269, 310, 7807, 15927, 24189, 24449, 4934, 518, 6600, 24449, 7751, 1141, 1269, 11073, 518, 6600, 24449, 7751, 568, 519, 9148, 540, 1269, 3519, 341, 6600, 24449, 30879, 1284, 949, 8263, 1269, 320, 318, 271, 267, 536, 318, 271, 259, 616, 593, 519, 16494, 7852, 543, 782, 519, 824, 2798, 540, 1269, 325, 13064, 272, 12917, 341, 318, 271, 7751, 616, 593, 519, 2451, 3368, 7077, 269, 1284, 917, 2907, 1269, 328, 3189, 13992, 681, 18511, 314, 320, 318, 271, 267, 536, 318, 271, 316, 315, 11357, 3553, 4934, 518, 6600, 3709, 341, 318, 271, 348, 9385, 11357, 3553, 654, 10608, 9572, 335, 285, 2999, 335, 285, 293, 1460, 930, 1269, 339, 22174, 1496, 271, 267, 272, 316, 259, 543, 1577, 1269, 345, 318, 271, 284, 3279, 318, 271, 23444, 272, 2389, 264, 321, 318, 271, 10608, 1284, 949, 8263, 1269, 345, 318, 271, 284, 271, 10608, 3767, 1269, 341, 315, 14090, 560, 334, 1990, 17635, 6661, 339, 513, 17635, 11924, 263, 272, 2389, 264, 536, 17635, 7751, 568, 1930, 269, 7994, 513, 2619, 1269, 341, 4433, 7751, 971, 602, 1269, 345, 17635, 4433, 4297, 259, 568, 2942, 1483, 269, 3973, 519, 10126, 1269, 314, 320, 17635, 4433, 24270, 536, 17635, 4433, 4297, 316, 259, 10596, 998, 1269, 345, 17635, 4433, 4297, 259, 543, 3788, 3592, 7299, 585, 18481, 1507, 1269, 338, 8961, 865, 814, 1269, 345, 318, 271, 259, 593, 922, 1318, 2427, 269, 1635, 476, 273, 269, 272, 649, 949, 9959, 1269, 345, 318, 271, 22174, 4934, 518, 6600, 3709, 341, 4433, 14587, 9385, 11357, 3553, 654, 10608, 7117, 539, 27135, 335, 285, 2999, 15590, 285, 2999, 335, 285, 7656, 269, 7053, 594, 1616, 547, 2671, 930, 10230, 6901, 630, 5976, 519, 948, 540, 21280, 2274, 903, 264, 20515, 513, 27715, 630, 23890, 676, 774, 584, 8725, 264, 540, 12821, 1380, 6441, 1075, 553, 3959, 27135, 335, 285, 2999, 335, 285, 13706, 513, 9971, 1269, 325, 259, 607, 513, 4839, 3481, 8720, 540, 519, 1950, 7077, 269, 9324, 1774, 676, 12276, 5632, 595, 4151, 519, 23756, 26083, 540, 519, 2565, 2798, 540, 1269, 325, 10608, 898, 568, 1572, 11513, 655, 519, 2565, 23756, 348, 540, 1269, 325, 10608, 634, 1739, 6898, 616, 6697, 281, 630, 272, 264, 1280, 1022, 1269, 341, 22174, 1422, 13992, 595, 8961, 649, 723, 1269, 3519, 341, 6600, 24449, 9385, 338, 5725, 564, 11513, 5632, 595, 23201, 9572, 335, 285, 2999, 335, 285, 263, 273, 264, 634, 4786, 1269, 325, 259, 568, 1147, 11187, 593, 1022, 6806, 3368, 7077, 1269, 295, 259, 12969, 532, 12276, 5632, 595, 23201, 21742, 335, 285, 2999, 335, 285, 263, 272, 264, 7445, 16524, 21375, 259, 263, 273, 1040, 27539, 1269, 325, 263, 295, 9385, 2254, 315, 14269, 642, 10608, 3973, 1269, 325, 13064, 272, 12917, 341, 7751, 568, 8659, 538, 4399, 13992, 595, 6953, 259, 799, 568, 606, 1930, 3368, 7077, 267, 538, 1880, 23756, 269, 3973, 1269, 3519, 341, 6600, 347, 318, 341, 7751, 568, 849, 8659, 538, 4399, 13992, 595, 910, 670, 10608, 1924, 1269, 3519, 341, 6600, 347, 318, 341, 9385, 2254, 315, 338, 5725, 564, 11513, 5632, 595, 20954, 17591, 532, 630, 272, 1040, 9572, 335, 285, 2999, 335, 285, 263, 273, 264, 7445, 16524, 21375, 259, 263, 272, 1040, 27539, 602, 1269, 3519, 341, 6600, 347, 318, 341, 7751, 1281, 711, 2270, 519, 3003, 1305, 12276, 5632, 595, 23201, 3973, 972, 568, 513, 6806, 3368, 7077, 1269, 295, 259, 12969, 532, 12276, 5632, 595, 4151, 855, 771, 329, 2002, 689, 1269, 3519, 341, 6600, 347, 318, 341, 30879, 3973, 1269, 325, 263, 295, 9385, 2254, 315, 14269, 642, 8961, 602, 568, 267, 1269, 325, 259, 568, 711, 1147, 11187, 593, 1269, 295, 8961, 17591, 532, 630, 273, 1040, 9572, 335, 285, 2999, 335, 285, 3086, 519, 27715, 630, 296, 3513, 4734, 519, 6169, 547, 774, 584, 8725, 952, 18825, 3340, 264, 568, 602, 952, 835, 3217, 513, 5885, 1899, 1269, 299, 259, 540, 4399, 5632, 595, 259, 972, 568, 513, 3148, 593, 519, 9018, 3368, 2230, 540, 1269, 299, 259, 593, 799, 1269, 325, 259, 568, 513, 1979, 20287, 5196, 4399, 13992, 595, 259, 630, 514, 11187, 538, 519, 9703, 543, 1979, 11187, 593, 519, 9769, 540, 519, 9703, 609, 3368, 540, 519, 10465, 9095, 1040, 769, 1249, 713, 3148, 568, 22112, 676, 1079, 2520, 3941, 545, 12345, 540, 519, 14883, 531, 11973, 1269, 347, 325, 21948, 345, 264, 24689, 10383, 1923, 323, 345, 347, 259, 17242, 547, 1269, 299, 259, 693, 513, 2565, 1448, 630, 604, 519, 2565, 1448, 568, 2241, 267, 6382, 519, 3148, 568, 1256, 4130, 1040, 901, 1797, 602, 649, 946, 519, 552, 16090, 22470, 3259, 538, 519, 2039, 547, 2268, 17242, 10321, 538, 519, 6389, 269, 2983, 3941, 923, 538, 713, 11973, 616, 519, 7485, 10587, 676, 1269, 325, 259, 540, 2786, 3515, 27135, 335, 285, 2999, 335, 285, 763, 7260, 2999, 320, 27430, 6889, 10674, 2517, 4178, 12459, 657, 18436, 2593, 17320, 325, 343, 20081, 534, 548, 328, 318, 2537, 320, 6230, 990, 257, 882, 6889, 333, 1993, 4772, 22969, 6798, 915, 2032, 9572, 320, 285, 568, 1500, 676, 21280, 2274, 903, 547, 9414, 713, 1267, 27135, 335, 285, 5291, 2517, 4118, 1478, 6503, 14492, 270, 638, 5465, 270, 276, 6434, 1428, 9706, 565, 8662, 268, 23085, 7146, 8410, 557, 343, 640, 270, 10482, 6924, 275, 258, 10482, 6924, 275, 8382, 676, 22819, 3240, 918, 23167, 585, 27155, 5072, 543, 23756, 640, 22819, 3240, 918, 23167, 476, 1001, 273, 268, 1015, 268, 6734, 307, 6349, 281, 5379, 281, 4962, 313, 476, 1001, 273, 268, 1015, 268, 4962, 307, 1626, 281, 2641, 281, 4029, 313, 2999, 335, 285, 2171, 666, 21656, 1346, 1269, 303, 259, 585, 799, 4399, 9507, 346, 295, 1638, 12917, 303, 264, 815, 1422, 9507, 346, 3519, 341, 12917, 303, 30879, 21742, 335, 285, 2999, 335, 285, 5575, 15475, 602, 519, 5072, 540, 1269, 303, 259, 798, 711, 9114, 593, 513, 1899, 269, 1284, 6961, 602, 4399, 9507, 346, 295, 1638, 12917, 303, 264, 815, 1422, 9507, 346, 3519, 341, 12917, 303, 7751, 952, 543, 1152, 952, 972, 568, 606, 1884, 3187, 29719, 1269, 304, 259, 540, 1269, 303, 259, 585, 799, 1269, 304, 815, 589, 317, 273, 289, 8961, 543, 519, 5072, 540, 1269, 289, 259, 9114, 538, 519, 23756, 26083, 540, 1269, 288, 10608, 634, 834, 604, 257, 568, 7525, 543, 2451, 547, 519, 5467, 269, 21742, 335, 285, 2999, 335, 285, 9616, 602, 513, 3597, 4399, 15883, 259, 540, 1269, 303, 259, 666, 9114, 593, 519, 10465, 540, 4399, 9507, 346, 3519, 341, 32710, 303, 328, 29192, 18652, 7751, 1152, 952, 4399, 15883, 259, 568, 513, 3597, 540, 4399, 303, 328, 29192, 18652, 8961, 610, 782, 519, 5072, 540, 4399 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8333, 663, 26930, 257, 607, 851, 540, 834, 30311, 1315, 13639, 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 ]

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

[ 1837, 267, 649, 723, 8268, 519, 10794, 540, 5020, 543, 8045, 621, 538, 5124, 269, 1284, 723, 4121, 875, 547, 5352, 4351, 2338, 267, 4019, 519, 10794, 540, 5020, 3652, 267, 543, 18082, 519, 10794, 540, 5020, 269, 1284, 723, 849, 2938, 875, 1950, 3270, 666, 10836, 689, 2241, 3652, 269, 634, 10794, 540, 5020, 568, 513, 4241, 1383, 540, 875, 2241, 3652, 666, 1291, 547, 1950, 2623, 267, 543, 621, 2488, 513, 3532, 1907, 585, 3695, 519, 3601, 540, 10408, 3678, 1092, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 910, 476, 272, 8679, 825, 8173, 825, 952, 5286, 269, 1170, 889, 323, 6943, 5560, 6943, 267, 5286, 269, 15759, 518, 2187, 1038, 28219, 5332, 4548, 815, 5286, 20179, 27110, 17347, 267, 2450, 14352, 4900, 267, 897, 338, 1070, 546, 6943, 284, 323, 6943, 994, 825, 3116, 912, 1038, 28219, 5332, 4548, 815, 5286, 20179, 26509, 6134, 263, 271, 267, 737, 910, 476, 272, 267, 2450, 14352, 4900, 267, 897, 338, 26895, 770, 4286, 5560, 6943, 994, 825, 2132, 5286, 15126, 8443, 8681, 5332, 4548, 316, 9239, 3698, 3014, 15058, 318, 5158, 318, 22364, 263, 31371, 13118, 3125, 267, 524, 267, 512, 2187, 825, 4099, 318, 3250, 815, 29117, 314, 272, 6012, 272, 2639, 825, 2698, 815, 5286, 27904, 263, 31371, 13118, 3125, 994, 825, 952, 4099, 318, 3250, 2652, 476, 272, 912, 1038, 952, 2698, 910, 476, 272, 2999, 476, 273, 912, 2018, 2132, 476, 271, 476, 1948, 7102, 2661, 1591, 609, 7864, 982, 1079, 2661, 30256, 10523, 267, 607, 952, 3361, 676, 896, 28134, 563, 1038, 952, 2698, 910, 476, 272, 2652, 476, 273, 610, 2698, 910, 476, 272, 2652, 476, 274, 912, 2018, 2132, 476, 272, 476, 1948, 7102, 2661, 1591, 609, 1079, 610, 1614, 2661, 30256, 2729, 593, 547, 519, 1985, 5108, 563, 1038, 952, 2698, 910, 476, 272, 3436, 476, 274, 912, 2018, 2132, 476, 271, 476, 1948, 7102, 2661, 1591, 609, 811, 982, 1614, 2661, 30256, 10523, 267, 607, 952, 676, 936, 28134, 563, 825, 3116, 912, 1038, 952, 2698, 2652, 476, 274, 912, 2018, 2132, 476, 272, 476, 1948, 7102, 4666, 1591, 609, 4010, 1614, 2661, 30256, 3587, 513, 2661, 1591, 267, 607, 952, 676, 12093, 563, 1038, 3116, 912, 2018, 2132, 476, 271, 454, 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, 6092, 5149, 281, 11576, 800, 8177, 538, 15339, 281, 10289, 3600, 15064, 15339, 998, 519, 30776, 540, 31012, 30527, 692, 1103, 6236, 519, 3710, 1604, 781, 3310, 593, 938, 12823, 267, 17974, 6189, 19674, 607, 513, 2565, 10155, 602, 5546, 938, 521, 4577, 2833, 1369, 5624, 269, 1635, 6313, 24180, 1483, 626, 6189, 267, 799, 22393, 10244, 539, 829, 24632, 6127, 547, 4739, 1808, 3929, 6114, 267, 649, 666, 1732, 1174, 875, 9858, 1522, 17543, 3337, 17391, 5054, 2221, 269, 3414, 606, 6514, 540, 3140, 2013, 2090, 543, 4207, 3156, 267, 713, 1576, 1770, 786, 2263, 519, 1761, 585, 8888, 6209, 4992, 7870, 538, 1585, 5468, 780, 272, 269, 25043, 540, 32185, 538, 5071, 692, 6524, 18167, 883, 519, 7706, 540, 17974, 6189, 267, 621, 568, 1898, 547, 3715, 606, 1620, 540, 519, 1909, 540, 8226, 538, 5935, 938, 5872, 609, 2230, 269, 5274, 7919, 616, 20244, 1617, 529, 839, 3645, 7068, 282, 3976, 267, 519, 3710, 1604, 7506, 721, 3564, 6071, 3308, 15312, 269, 25291, 267, 9329, 267, 6492, 267, 543, 6217, 3565, 3648, 547, 14335, 938, 8901, 17133, 543, 3965, 269, 9182, 267, 11265, 6272, 1058, 2015, 891, 2188, 950, 20678, 547, 18427, 1880, 30181, 610, 5615, 1851, 31269, 780, 273, 269, 8466, 2776, 1027, 757, 281, 4591, 2065, 22604, 547, 6611, 692, 763, 1523, 540, 14139, 513, 11455, 1935, 547, 1374, 1765, 821, 602, 22851, 2789, 12823, 8195, 1765, 335, 1042, 919, 24180, 17779, 269, 8191, 5511, 7060, 2429, 1686, 723, 6444, 519, 2956, 540, 9013, 4961, 262, 10444, 11378, 547, 2226, 1931, 543, 3895, 20748, 12972, 269, 9147, 4936, 16413, 267, 585, 3236, 267, 6964, 3834, 12151, 1949, 547, 3002, 1857, 8602, 17346, 1247, 11423, 873, 609, 1045, 580, 528, 908, 1085, 757, 543, 4992, 267, 5807, 18497, 16345, 543, 14017, 2509, 519, 10504, 269, 769, 713, 2796, 267, 1256, 9583, 27217, 3344, 899, 2837, 7939, 1831, 2645, 585, 12018, 2043, 262, 2623, 543, 8456, 780, 274, 269, 5890, 21505, 5358, 6996, 538, 31012, 30527, 692, 12892, 626, 1483, 626, 16413, 3576, 891, 3741, 2417, 676, 12799, 6220, 5626, 14555, 883, 741, 2259, 269, 2060, 606, 8561, 593, 2870, 4998, 1242, 11269, 540, 2486, 267, 789, 6322, 547, 6536, 8788, 267, 27277, 267, 543, 7607, 998, 12879, 540, 10444, 10291, 269, 1306, 5018, 4505, 267, 971, 4485, 1419, 10704, 1472, 1762, 267, 7524, 3197, 14436, 540, 606, 16545, 2588, 26508, 2104, 269, 769, 2490, 267, 891, 7907, 5483, 3664, 3823, 2326, 267, 3029, 267, 4778, 267, 543, 26088, 267, 7551, 10451, 15138, 5054, 20009, 547, 5551, 28146, 2829, 780, 275, 269, 3600, 15064, 15339, 281, 26479, 1299, 10241, 692, 10907, 15064, 6189, 4016, 4481, 547, 519, 18532, 1374, 540, 11255, 543, 9205, 4992, 7870, 269, 898, 13315, 1312, 17846, 2994, 630, 324, 3052, 1421, 6846, 5786, 267, 26871, 828, 566, 1852, 264, 543, 19349, 2553, 630, 324, 3052, 1421, 6098, 8301, 3892, 267, 28400, 659, 15064, 15128, 1040, 10765, 7835, 538, 2029, 723, 8118, 909, 3209, 7399, 585, 7598, 17974, 6189, 2066, 3309, 9922, 267, 1519, 3782, 6703, 267, 3872, 5238, 267, 28737, 267, 543, 2686, 28503, 780, 276, 269, 8865, 5525, 281, 16319, 7870, 538, 6657, 692, 2750, 600, 1456, 1896, 25761, 3785, 896, 24180, 17779, 2636, 721, 547, 9787, 875, 16413, 11573, 3042, 3818, 1606, 29022, 2609, 547, 6655, 20748, 6386, 269, 6333, 267, 585, 3236, 267, 519, 20066, 540, 7737, 328, 1115, 6735, 7127, 2966, 676, 16907, 529, 594, 1993, 534, 267, 32157, 1744, 4157, 327, 990, 267, 543, 670, 10725, 16803, 269, 1160, 12723, 585, 18293, 1282, 23237, 781, 12081, 267, 713, 897, 1601, 531, 2497, 12286, 5318, 1930, 5624, 4904, 609, 10575, 14823, 2575, 5497, 547, 8300, 7104, 552, 25045, 18319, 10838, 8436, 269, 6684, 267, 519, 715, 1046, 558, 21129, 8490, 538, 18293, 8246, 8766, 2065, 1330, 1399, 1841, 543, 7522, 23725, 832, 547, 5352, 15982, 3280, 22836, 267, 8716, 9602, 31658, 543, 2146, 2679, 780, 277, 269, 12634, 22627, 281, 3245, 7629, 16272, 547, 18712, 692, 4407, 24180, 17779, 949, 3100, 1884, 1172, 730, 267, 1082, 540, 922, 4295, 28975, 13469, 609, 1459, 6377, 27964, 4478, 23913, 1374, 543, 8171, 269, 11569, 267, 3875, 3906, 1631, 5431, 519, 1871, 540, 3358, 17974, 5054, 585, 7393, 3593, 9547, 267, 2773, 267, 543, 1072, 4093, 269, 3194, 9727, 602, 6099, 3280, 2157, 666, 2087, 5042, 1599, 267, 2569, 2566, 267, 24772, 5876, 267, 543, 7794, 1514, 4296, 269, 4935, 267, 10128, 17974, 6189, 883, 4207, 2853, 3091, 1713, 2640, 585, 3309, 8639, 780, 278, 269, 8892, 19648, 281, 19078, 19047, 1299, 12160, 2218, 5071, 692, 2026, 1719, 538, 10444, 25700, 6189, 9428, 267, 865, 1932, 1281, 519, 991, 585, 5683, 8086, 7282, 922, 6388, 269, 5999, 8451, 827, 8116, 267, 9844, 267, 543, 13597, 950, 13167, 24441, 2833, 585, 5667, 639, 1051, 532, 3755, 269, 1677, 2232, 891, 4145, 267, 29355, 1374, 2409, 1590, 581, 17947, 267, 3850, 31269, 547, 1071, 268, 22056, 741, 10450, 543, 21907, 3617, 21356, 1063, 7834, 267, 4313, 267, 543, 3838, 5605, 4800, 269, 11086, 267, 14237, 8537, 19929, 5849, 602, 17974, 6189, 3788, 17841, 547, 6422, 1367, 7375, 2864, 982, 25412, 14461, 16431, 2390, 7938, 9231, 11317, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2414, 513, 1804, 6708, 267, 519, 2152, 540, 31012, 7464, 626, 1148, 630, 1993, 6189, 264, 568, 1644, 547, 922, 10444, 1764, 269, 634, 9703, 729, 547, 581, 5402, 9859, 267, 11231, 543, 7677, 1639, 547, 1374, 513, 1007, 1826, 540, 10444, 1995, 269, 8729, 547, 713, 267, 621, 2968, 513, 1907, 585, 15725, 7180, 267, 607, 1134, 607, 22392, 4664, 269, 901, 3376, 2989, 519, 4247, 540, 519, 4056, 267, 945, 2968, 2048, 2254, 1152, 606, 11653, 540, 5656, 543, 10754, 267, 855, 606, 11653, 540, 1480, 20339, 9957, 4014, 519, 11455, 2470, 540, 8226, 814, 1044, 1031, 538, 1374, 585, 5553, 630, 18034, 585, 519, 2115, 540, 513, 2178, 267, 28974, 1379, 1070, 543, 729, 849, 5432, 547, 2413, 1235, 267, 922, 10872, 729, 9450, 676, 3375, 24237, 538, 519, 31012, 7464, 626, 5736, 269, 1358, 1360, 29596, 1031, 8226, 6127, 543, 2618, 657, 11703, 2175, 2443, 1657, 782, 607, 606, 6293, 547, 1711, 630, 1492, 21903, 540, 264, 513, 6126, 1158, 269, 2334, 568, 1946, 741, 32249, 267, 7772, 995, 543, 4105, 1915, 729, 14578, 3746, 2213, 538, 11673, 540, 6189, 543, 954, 12542, 269, 1280, 1383, 267, 519, 1568, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 8121, 6224, 3951, 17614, 13543, 1315, 29844, 1315, 4937, 1315, 3600, 15064, 15339, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8762, 5735, 267, 5441, 540, 29016, 282, 2441, 2088, 29247, 267, 11022, 267, 8783, 267, 2564, 14711, 543, 6375, 1108, 267, 23171, 5441, 267, 543, 8783, 267, 14711, 543, 2564, 6375, 1108, 267, 4639, 670, 13273, 22622, 267, 1715, 670, 13273, 267, 1230, 333, 5919, 700, 7431, 590, 9646, 267, 12854, 267, 631, 10955, 267, 28251, 301, 267, 31298, 267, 1982, 8689, 543, 13930, 7548, 267, 6498, 540, 2564, 2732, 267, 5441, 540, 7147, 3162, 13523, 6481, 5664, 693, 28543, 282, 5843, 6798, 727, 267, 5463, 269, 476, 280, 267, 476, 1708, 272, 267, 593, 11060, 0, 326, 755, 541, 31208, 1438, 2259, 454, 326, 755, 541, 31208, 1438, 2259, 454, 763, 5256, 540, 519, 13265, 543, 24027, 2831, 269, 15155, 544, 630, 29793, 1664, 12683, 986, 916, 267, 562, 7631, 894, 13737, 986, 916, 267, 562, 7631, 894, 12683, 15155, 1040, 15155, 630, 1260, 1706, 894, 811, 15155, 267, 2706, 331, 894, 1034, 15155, 1040, 562, 269, 634, 2597, 799, 16716, 519, 9514, 267, 538, 513, 18061, 9920, 267, 9252, 17200, 267, 16826, 1984, 267, 610, 519, 899, 269, 2353, 2924, 540, 519, 8313, 616, 11603, 676, 21460, 11592, 2593, 269, 3267, 10548, 21460, 12791, 910, 4855, 519, 2953, 2495, 540, 10548, 538, 21460, 267, 621, 568, 1271, 547, 1174, 519, 2262, 5265, 950, 649, 14377, 621, 689, 2296, 547, 21460, 269, 12624, 4262, 268, 582, 614, 609, 12008, 7782, 267, 5651, 549, 7345, 2073, 4993, 269, 5440, 8422, 6875, 25498, 689, 11370, 764, 2033, 619, 5288, 269, 681, 4461, 910, 11370, 764, 2033, 619, 2593, 267, 910, 12253, 779, 17496, 540, 513, 10548, 543, 513, 3619, 520, 269, 12168, 363, 24220, 8294, 14180, 8294, 269, 6744, 856, 713, 1007, 22565, 3381, 609, 1007, 2575, 256, 1703, 616, 2141, 1896, 10096, 540, 1142, 2262, 538, 21460, 267, 519, 2953, 2495, 540, 10548, 538, 21460, 568, 12168, 363, 14180, 24220, 407, 479, 267, 543, 538, 19005, 649, 2328, 621, 14480, 9346, 269, 2353, 2924, 540, 519, 8313, 616, 11603, 676, 21460, 11592, 2593, 269, 681, 4461, 16294, 15155, 269, 681, 4461, 769, 930, 2694, 540, 4789, 513, 15155, 568, 1572, 513, 512, 1575, 269, 562, 269, 634, 5256, 540, 519, 13265, 543, 24027, 2831, 269, 634, 824, 10096, 616, 2725, 754, 3873, 267, 14480, 9346, 267, 8738, 329, 661, 8621, 531, 267, 631, 690, 686, 267, 918, 2393, 3534, 267, 32038, 3534, 267, 631, 1735, 28635, 32038, 667, 6511, 267, 774, 9398, 667, 6511, 543, 772, 571, 667, 6511, 269, 476, 6245, 279, 267, 670, 14371, 269, 17164, 762, 18780, 538, 2296, 543, 21460, 609, 24436, 1107, 8281, 21584, 267, 10960, 1656, 4256, 23467, 2060, 24436, 267, 8281, 21584, 1299, 26076, 339, 267, 5903, 2986, 16549, 1529, 710, 1656, 12339, 24100, 13834, 9293, 1411, 18771, 5700, 267, 17164, 762, 18780, 538, 2296, 609, 24436, 1107, 8281, 21584, 267, 589, 547, 2098, 16819, 18780, 609, 24436, 1107, 8281, 538, 21584, 267, 476, 276, 7454, 5131, 2296, 4804, 29393, 1107, 13724, 2296, 693, 5851, 267, 9293, 547, 14674, 519, 22226, 540, 513, 12287, 1107, 10886, 3004, 1080, 267, 476, 3199, 266, 11814, 633, 715, 10494, 13242, 585, 12085, 543, 27014, 267, 476, 2568, 266, 11814, 633, 715, 10494, 585, 20492, 540, 4658, 779, 267, 5903, 540, 476, 3583, 266, 11814, 633, 715, 10494, 585, 12292, 543, 20002, 269, 2311, 519, 1439, 540, 713, 2022, 267, 596, 786, 1265, 533, 696, 543, 4647, 762, 7824, 3758, 540, 713, 3003, 3992, 269, 1717, 267, 596, 991, 547, 4019, 1697, 8239, 3652, 538, 1022, 4845, 269, 476, 273, 769, 1250, 5075, 594, 4718, 8885, 538, 519, 3632, 12818, 540, 12246, 320, 538, 519, 11662, 540, 4432, 600, 282, 538, 519, 5075, 594, 729, 22290, 519, 21853, 2967, 22575, 269, 10548, 12791, 538, 19446, 910, 769, 519, 2085, 540, 3059, 2792, 267, 1022, 1268, 1058, 1451, 543, 1174, 2789, 4654, 585, 1732, 2792, 269, 10089, 12712, 25697, 536, 778, 320, 568, 835, 540, 519, 1034, 2442, 21460, 30053, 585, 3214, 256, 17164, 762, 18780, 538, 2296, 543, 21460, 609, 24436, 1107, 8281, 21584, 5181, 476, 279, 267, 476, 1001, 280, 5903, 540, 476, 1911, 4107, 5871, 11534, 5242, 9293, 538, 2296, 609, 21460, 12791, 5181, 476, 3066, 267, 476, 1001, 280, 5903, 540, 476, 3583, 266, 11814, 633, 715, 10494, 585, 12292, 543, 20002, 5239, 476, 1789, 267, 476, 1001, 280, 634, 681, 4461, 2495, 538, 21460, 786, 15983, 3986, 707, 6863, 269, 10548, 568, 606, 10902, 2687, 547, 2694, 540, 4633, 269, 681, 4461, 2147, 1913, 899, 10548, 267, 10548, 543, 10548, 3333, 871, 548, 282, 681, 4461, 21460, 22564, 568, 27755, 17262, 14180, 406, 486, 406, 378, 8294, 269, 769, 519, 2413, 1158, 267, 972, 568, 513, 25680, 991, 585, 1004, 945, 666, 5968, 538, 1114, 4654, 269, 15155, 630, 628, 2273, 16512, 13737, 2241, 1459, 986, 916, 267, 1459, 32096, 15155, 2719, 267, 2241, 2250, 543, 2250, 32096, 15155, 4364, 1040, 3245, 23977, 3258, 5824, 2608, 541, 877, 3799, 1070, 689, 17623, 5824, 7098, 5953, 5443, 267, 689, 5824, 513, 525, 12462, 19817, 704, 26158, 1284, 1683, 8840, 3377, 267, 9031, 328, 3377, 267, 4139, 3377, 267, 6355, 3377, 267, 11846, 3377, 267, 21460, 3377, 543, 14970, 21460, 5240, 269, 26479, 540, 519, 2262, 681, 4461, 723, 1044, 4330, 1934, 609, 519, 5021, 3877, 269, 1717, 267, 513, 1268, 7959, 1732, 547, 5968, 952, 646, 24172, 814, 6190, 6863, 269, 1717, 267, 513, 1268, 7959, 1732, 547, 5968, 952, 646, 24172, 814, 6190, 6863, 269, 32425, 622, 543, 4830, 267, 1488, 625, 786, 2760, 798, 1945, 1175, 1317, 3025, 3116, 568, 3257, 621, 12544, 10548, 2115, 547, 581, 476, 1911, 2600, 8149, 547, 519, 4305, 693, 1688, 269, 2201, 519, 824, 2427, 267, 596, 666, 849, 1118, 681, 4461, 4845, 538, 21460, 607, 1896, 2296, 1913, 616, 849, 1031, 538, 519, 2296, 1893, 563, 288, 345, 675, 681, 987, 531, 657, 26744, 1234, 947, 19715, 267, 4425, 1335, 1014, 631, 4821, 8871, 334, 8943, 267, 661, 1206, 8871, 334, 8943, 23749, 267, 4258, 777, 22456, 18766, 906, 3794, 754, 1446, 267, 10897, 267, 12443, 6921, 582, 14691, 5843, 338, 26236, 267, 7763, 334, 19045, 476, 1240, 343, 1015, 267, 670, 25352, 717, 343, 29496, 16242, 12984, 615, 9487, 267, 18718, 1744, 756, 553, 1656, 570, 756, 9812, 267, 4258, 777, 652, 9255, 1677, 16179, 645, 2714, 1194, 4826, 267, 3004, 8814, 5244, 14977, 1723, 517, 29673, 267, 594, 2549, 27211, 267, 966, 714, 1470, 12829, 4751, 570, 341, 4563, 24897, 267, 476, 3192, 273, 966, 9298, 717, 339, 1280, 22312, 267, 2782, 5069, 1067, 476, 2412, 330, 966, 739, 5797, 534, 17738, 267, 2672, 19207, 808, 4883, 15718, 520, 476, 272, 267, 23683, 2274, 821, 3204, 687, 267, 15465, 11790, 769, 5822, 5678, 21733, 9974, 267, 14594, 2986, 11559, 618, 1677, 3733, 12312, 769, 634, 8136, 267, 12493, 5441, 20504, 766, 15580, 267, 2696, 12791, 769, 21460, 267, 14956, 2287, 15048, 6201, 16470, 267, 476, 2735, 279, 932, 24075, 2401, 25004, 22971, 15434, 12127, 4289, 267, 9198, 1049, 32100, 29361, 9487, 267, 2817, 5244, 2372, 11467, 476, 1708, 271, 29247, 267, 595, 12364, 7736, 2986, 7412, 267, 28473, 715, 321, 2098, 2158, 267, 1548, 2871, 1841, 634, 9980, 8896, 1677, 853, 631, 2426, 334, 781, 670, 690, 342, 11301, 25491, 267, 31864, 7815, 476, 274, 623, 1021, 4438, 12338, 2675, 25333, 267, 0, 27455, 879, 10783, 324, 5441, 8992, 519, 4909, 3703, 2418, 540, 9111, 267, 519, 4341, 540, 1876, 267, 1367, 15698, 267, 543, 8994, 2463, 543, 10892, 540, 1346, 609, 1114, 5132, 338, 543, 4978, 269, 1284, 3895, 7862, 540, 4316, 543, 4763, 267, 2324, 609, 1053, 547, 1174, 267, 5660, 543, 2463, 3017, 538, 519, 1158, 543, 922, 2950, 269, 769, 1249, 267, 891, 616, 849, 11368, 883, 938, 1153, 2048, 31359, 685, 4408, 267, 607, 2813, 676, 1053, 912, 7437, 938, 18880, 6437, 543, 9962, 5441, 7341, 267, 649, 912, 268, 5512, 1053, 547, 1020, 741, 1582, 268, 32474, 267, 1582, 12635, 543, 1582, 21873, 3248, 268, 5512, 1053, 547, 10646, 1318, 689, 4636, 543, 547, 2463, 519, 3540, 543, 7803, 1876, 540, 4789, 3248, 268, 5000, 1053, 547, 3398, 5539, 585, 741, 7180, 267, 1397, 11036, 267, 543, 547, 1174, 875, 789, 666, 3565, 9797, 547, 519, 2729, 540, 1346, 2713, 543, 2324, 538, 519, 1327, 1275, 540, 519, 1153, 543, 547, 2486, 811, 4922, 3248, 268, 5512, 1053, 547, 10536, 513, 3376, 2489, 1702, 540, 543, 2463, 585, 1857, 5238, 543, 2533, 538, 4789, 3248, 268, 2417, 10892, 543, 10103, 1063, 1114, 2686, 5389, 676, 7175, 1053, 547, 10536, 606, 7071, 540, 543, 2463, 585, 741, 1378, 543, 824, 4529, 3248, 268, 5000, 2463, 585, 824, 1004, 282, 543, 454, 268, 5000, 2463, 585, 9111, 543, 1489, 585, 7589, 538, 519, 11180, 3157, 267, 1519, 2463, 585, 519, 4493, 593, 799, 519, 1876, 568, 1500, 543, 4294, 538, 4789, 563, 763, 1592, 2630, 6257, 519, 1620, 543, 1702, 4397, 540, 1053, 607, 513, 1267, 912, 268, 606, 1620, 540, 875, 4961, 666, 3310, 3375, 6194, 998, 519, 11180, 1184, 3248, 268, 606, 7071, 602, 2713, 896, 519, 4341, 540, 1876, 14014, 1367, 4961, 543, 568, 1898, 585, 741, 8171, 543, 3106, 3248, 268, 606, 1620, 602, 972, 568, 513, 9668, 540, 1379, 1063, 519, 10324, 543, 519, 4140, 26547, 267, 543, 602, 1247, 930, 1857, 4703, 971, 607, 519, 7128, 543, 519, 7952, 666, 581, 4371, 547, 2272, 998, 12057, 267, 1866, 971, 607, 519, 10470, 2226, 7115, 3248, 268, 606, 1620, 602, 519, 5191, 547, 3442, 543, 3180, 824, 5132, 338, 543, 4978, 568, 6870, 538, 1876, 3248, 268, 606, 10343, 602, 824, 1004, 2348, 1114, 5132, 338, 610, 4978, 547, 13951, 630, 528, 2348, 9039, 264, 1058, 581, 7608, 543, 7109, 730, 267, 543, 1058, 711, 581, 519, 2014, 540, 11830, 2772, 610, 25641, 7180, 282, 543, 454, 268, 606, 1620, 540, 519, 2956, 540, 7114, 543, 8396, 1154, 7130, 563, 268, 769, 519, 18880, 543, 5729, 476, 280, 2622, 5525, 6437, 267, 607, 1134, 607, 519, 20861, 19510, 267, 1053, 2263, 513, 2039, 540, 2152, 267, 971, 607, 875, 9111, 543, 519, 1876, 1568, 538, 6628, 267, 538, 4334, 547, 824, 3029, 540, 2229, 538, 824, 2477, 454, 268, 4841, 723, 513, 5639, 602, 568, 19557, 547, 267, 543, 649, 6542, 875, 9111, 1568, 676, 8362, 5009, 11180, 3157, 998, 519, 8092, 879, 10783, 324, 9906, 12057, 267, 609, 11221, 1053, 267, 543, 998, 938, 9525, 538, 14216, 2421, 779, 15272, 26302, 11036, 269, 901, 849, 2488, 3255, 547, 3180, 23769, 12836, 547, 3895, 4909, 3703, 2418, 543, 1683, 1053, 609, 519, 4316, 547, 1451, 875, 547, 8044, 543, 9718, 2798, 540, 2070, 454, 268, 634, 1310, 4211, 565, 5076, 23918, 10872, 543, 2875, 21445, 32234, 2066, 2686, 267, 3909, 267, 6803, 543, 8739, 20300, 2950, 269, 3776, 15795, 1106, 619, 849, 2709, 1489, 547, 938, 7820, 6267, 269, 0, 272, 568, 519, 3961, 3693, 540, 8691, 563, 6011, 666, 649, 2322, 5515, 538, 2789, 9912, 3948, 454, 763, 2806, 27318, 610, 862, 32477, 3959, 540, 519, 8691, 540, 2338, 269, 898, 568, 1271, 602, 1312, 834, 20123, 328, 6473, 257, 543, 834, 11133, 1499, 257, 4183, 538, 519, 2626, 269, 5221, 267, 621, 568, 10858, 547, 8691, 855, 711, 267, 585, 1383, 267, 585, 6498, 269, 898, 568, 10858, 585, 519, 8691, 593, 2338, 855, 711, 14290, 563, 296, 6415, 711, 3222, 540, 513, 1259, 547, 5635, 1079, 2338, 676, 8691, 563, 2399, 832, 2608, 2608, 2608, 2608, 2608, 3143, 267, 789, 616, 1572, 3818, 2364, 1343, 563, 25648, 6473, 568, 1031, 547, 4137, 856, 1804, 18304, 540, 2338, 563, 320, 8691, 7470, 5654, 899, 513, 4216, 1305, 540, 2338, 1141, 596, 9062, 1079, 2338, 1818, 1142, 1079, 2338, 16611, 676, 1818, 8691, 10833, 454, 1492, 8691, 540, 1079, 2338, 568, 1572, 513, 3815, 519, 2626, 547, 513, 8691, 1966, 568, 1572, 513, 1587, 454, 763, 2626, 5673, 593, 519, 2796, 269, 1280, 1383, 267, 8691, 540, 2338, 568, 862, 32477, 630, 288, 265, 289, 815, 645, 265, 288, 264, 855, 8691, 540, 14290, 568, 711, 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 ]

[ 513, 476, 275, 267, 4335, 1700, 277, 267, 4335, 918, 2837, 1604, 1223, 581, 6045, 676, 7873, 839, 725, 538, 519, 1970, 2604, 2694, 540, 8710, 18651, 1206, 1107, 1373, 9571, 538, 519, 5790, 540, 681, 312, 32371, 8636, 926, 328, 1107, 513, 28198, 602, 3123, 2199, 2196, 12537, 9023, 267, 3850, 3327, 7452, 547, 1106, 282, 519, 5250, 540, 519, 6801, 2933, 568, 15458, 269, 9208, 24974, 4720, 3631, 798, 711, 3132, 1804, 24788, 748, 6801, 609, 4642, 7250, 282, 519, 1079, 1292, 6436, 547, 2491, 891, 6801, 616, 1312, 10169, 16678, 581, 7257, 1154, 971, 4686, 6801, 269, 769, 835, 267, 513, 32421, 4386, 1063, 1079, 3043, 21221, 6801, 267, 835, 513, 4477, 1756, 3043, 21221, 543, 519, 824, 513, 3327, 268, 2135, 4723, 3043, 21221, 269, 6519, 546, 8705, 12028, 616, 15877, 538, 7250, 543, 519, 25739, 5182, 1131, 3668, 602, 3693, 282, 519, 2034, 2203, 2022, 12885, 513, 7372, 12768, 21063, 2680, 693, 519, 12614, 540, 8781, 540, 606, 9018, 26775, 7387, 267, 4929, 519, 2370, 6967, 11626, 25756, 547, 581, 5828, 936, 883, 519, 9703, 540, 519, 5182, 563, 2005, 568, 2009, 602, 519, 4763, 540, 681, 9197, 289, 6801, 568, 3361, 676, 513, 4763, 540, 5250, 6127, 267, 11341, 873, 547, 3665, 26775, 6801, 543, 7250, 12413, 17087, 3327, 6801, 269, 901, 1592, 3568, 782, 519, 681, 9197, 289, 6801, 7396, 538, 519, 717, 20302, 306, 267, 607, 1134, 607, 824, 8037, 1806, 269, 667, 312, 3131, 572, 328, 568, 711, 3769, 269, 774, 11448, 1700, 385, 375, 12682, 330, 578, 1843, 681, 20840, 2801, 645, 648, 23653, 6801, 267, 676, 595, 269, 17363, 11518, 9445, 267, 14022, 27895, 25076, 8832, 8581, 28678, 538, 519, 15610, 540, 8330, 13681, 5735, 543, 6611, 325, 2775, 634, 681, 20840, 2801, 645, 648, 23653, 25578, 267, 676, 2983, 32015, 595, 269, 22110, 2023, 267, 689, 14408, 302, 270, 22498, 8330, 5268, 12695, 4578, 3590, 24438, 10060, 540, 519, 13600, 267, 5130, 267, 476, 1220, 271, 281, 681, 20840, 2801, 645, 648, 23653, 267, 693, 519, 589, 16787, 12569, 3896, 454, 763, 1612, 5913, 568, 513, 1770, 540, 3259, 1031, 547, 2268, 1804, 9883, 547, 24666, 3615, 3544, 519, 9891, 3590, 269, 589, 1612, 5913, 568, 3989, 607, 519, 3845, 693, 799, 835, 24666, 1770, 5705, 1742, 606, 5086, 540, 835, 9095, 16149, 267, 799, 14687, 547, 476, 277, 4366, 1822, 270, 11027, 24666, 4559, 269, 2290, 1612, 5913, 568, 3160, 547, 476, 4029, 18265, 21240, 610, 476, 866, 18265, 5195, 282, 519, 14282, 5182, 267, 1160, 343, 9874, 2578, 4768, 328, 267, 568, 827, 476, 272, 269, 274, 1612, 5913, 338, 689, 519, 6129, 269, 4107, 540, 519, 6801, 7298, 547, 519, 19448, 3660, 3750, 538, 519, 3781, 6607, 616, 1369, 476, 4335, 1612, 5913, 338, 540, 519, 6129, 282, 519, 1612, 5913, 1770, 729, 1101, 6700, 538, 476, 4489, 274, 676, 519, 3703, 31485, 29464, 8065, 25306, 269, 715, 3139, 607, 513, 2823, 332, 14397, 879, 540, 519, 1612, 718, 1314, 540, 835, 9095, 16149, 267, 621, 729, 3989, 547, 1118, 9273, 540, 24666, 9883, 689, 1152, 741, 6151, 22423, 1239, 2656, 543, 2653, 585, 19936, 269, 1280, 713, 2601, 267, 621, 568, 519, 1770, 9053, 538, 17651, 543, 28936, 12695, 267, 1498, 519, 1769, 4458, 3788, 7986, 538, 2442, 2257, 5931, 543, 1455, 6165, 269, 4014, 1612, 5913, 338, 616, 1031, 585, 519, 10156, 9883, 1369, 519, 27305, 10158, 267, 23385, 540, 1612, 5913, 338, 616, 2838, 585, 519, 3677, 10253, 538, 519, 7122, 267, 1519, 4893, 641, 541, 5913, 338, 585, 519, 811, 11397, 3615, 1369, 543, 1472, 519, 27305, 10158, 267, 19251, 777, 541, 5913, 338, 585, 4571, 26591, 15270, 267, 17254, 777, 541, 5913, 338, 585, 1082, 844, 553, 1513, 543, 519, 1034, 11397, 15270, 563, 1103, 4864, 476, 1001, 276, 267, 519, 29722, 308, 5293, 22375, 645, 273, 267, 799, 267, 607, 851, 540, 519, 4214, 540, 513, 13387, 6207, 543, 7805, 10240, 6248, 9588, 4336, 267, 5018, 606, 4540, 8763, 4214, 540, 519, 1612, 5913, 607, 476, 277, 4366, 1822, 270, 11027, 24666, 4559, 267, 610, 476, 274, 269, 5400, 276, 277, 6507, 6812, 272, 5392, 272, 4391, 9943, 6200, 277, 15432, 269, 901, 14687, 547, 519, 1507, 268, 4120, 4214, 540, 519, 1612, 5913, 1336, 538, 1082, 4207, 24666, 8100, 282, 519, 1612, 5913, 568, 3989, 607, 1373, 3160, 547, 519, 3259, 540, 519, 3476, 1850, 540, 606, 28608, 16494, 1318, 6906, 538, 2230, 269, 634, 1079, 7516, 593, 799, 713, 6906, 568, 1759, 616, 922, 10156, 1850, 267, 540, 3259, 835, 24666, 1770, 267, 519, 5705, 2105, 5086, 540, 519, 14584, 6587, 602, 1850, 267, 7893, 835, 9095, 2034, 269, 16792, 519, 3652, 540, 29890, 547, 891, 1079, 2418, 267, 519, 1770, 3259, 540, 519, 824, 1850, 540, 519, 6906, 666, 581, 6508, 269, 2290, 540, 519, 9510, 2409, 1031, 676, 19936, 547, 5173, 519, 3845, 547, 513, 5182, 568, 547, 2594, 519, 3017, 538, 5086, 1063, 1079, 7403, 540, 519, 2990, 540, 519, 5182, 538, 519, 6607, 282, 519, 1101, 6482, 568, 3144, 689, 519, 3047, 593, 835, 2427, 540, 519, 6129, 267, 519, 2034, 568, 3144, 3368, 513, 1032, 950, 519, 3047, 568, 593, 519, 6587, 2427, 540, 519, 6129, 563, 763, 3845, 1063, 519, 1079, 7158, 540, 519, 3047, 950, 519, 1079, 7403, 941, 3144, 568, 7466, 519, 3845, 1063, 519, 3047, 543, 519, 6129, 269, 634, 3017, 538, 5086, 1063, 519, 1079, 7403, 568, 7466, 519, 1612, 718, 1314, 5086, 267, 4646, 676, 3515, 689, 519, 6129, 543, 3047, 547, 519, 5182, 693, 519, 11397, 14584, 282, 519, 3845, 547, 519, 5182, 1223, 581, 7229, 1210, 29890, 269, 634, 1101, 3811, 3370, 1463, 7403, 540, 606, 1843, 693, 26300, 15362, 9883, 941, 17298, 676, 4436, 31485, 26179, 30247, 29817, 1088, 538, 476, 8146, 279, 267, 945, 1031, 713, 1935, 547, 5173, 519, 476, 274, 269, 276, 24733, 5913, 3845, 540, 476, 8618, 7261, 3913, 328, 269, 634, 1612, 718, 1314, 540, 513, 5182, 568, 3989, 607, 3368, 540, 519, 16070, 3845, 602, 513, 5182, 5526, 547, 1847, 3448, 547, 519, 18477, 12106, 607, 3047, 25057, 519, 6129, 269, 4982, 2526, 1836, 267, 621, 568, 519, 5705, 2105, 5086, 267, 689, 602, 5182, 781, 5133, 267, 540, 519, 5033, 574, 1994, 7852, 540, 519, 3047, 781, 10739, 282, 519, 5182, 267, 519, 6129, 543, 519, 3047, 1106, 519, 15174, 540, 606, 16494, 1318, 6906, 538, 2230, 281, 519, 1318, 5086, 568, 519, 7944, 693, 519, 6129, 267, 519, 7944, 693, 519, 5182, 568, 519, 1612, 718, 1314, 5086, 563, 763, 3259, 540, 519, 6587, 2427, 547, 519, 1612, 718, 1314, 5086, 568, 519, 3845, 689, 519, 3047, 547, 519, 6129, 630, 3698, 1441, 607, 835, 24666, 1770, 267, 519, 3259, 540, 519, 11105, 2427, 3947, 519, 3845, 689, 519, 3141, 547, 519, 5182, 269, 4475, 267, 2016, 513, 6482, 540, 519, 1612, 718, 1314, 5086, 267, 2059, 609, 519, 3652, 540, 29890, 267, 519, 3845, 689, 519, 6129, 547, 519, 5182, 666, 581, 1336, 269, 589, 1612, 5913, 568, 3989, 607, 519, 3259, 540, 519, 2427, 11105, 547, 519, 14584, 13026, 676, 513, 5182, 4171, 1612, 718, 1314, 5086, 568, 835, 9095, 16149, 282, 519, 946, 540, 519, 1612, 5913, 607, 513, 1770, 540, 3845, 5205, 689, 29817, 1088, 781, 1505, 267, 1317, 519, 3845, 538, 1612, 5913, 338, 666, 581, 17223, 607, 519, 23483, 540, 519, 1612, 718, 1314, 5086, 538, 9095, 572, 6948, 269, 3143, 25066, 3252, 616, 2838, 538, 713, 2078, 1317, 519, 1507, 7285, 3238, 1611, 602, 519, 16977, 3070, 540, 519, 2960, 5500, 6906, 666, 581, 4294, 269, 9282, 621, 949, 723, 1044, 1031, 1354, 267, 519, 2165, 1612, 5913, 729, 1101, 5018, 538, 606, 24666, 8313, 538, 476, 4489, 274, 269, 13562, 9593, 9576, 7671, 23846, 21619, 517, 6829, 1010, 6161, 585, 519, 991, 540, 513, 2012, 585, 602, 1770, 540, 3845, 563, 3891, 6069, 519, 2012, 7478, 267, 855, 5018, 602, 14161, 4077, 17067, 1185, 6700, 521, 21105, 10309, 543, 29464, 8065, 25306, 1185, 6069, 1612, 5913, 269, 898, 729, 25306, 781, 11556, 269, 769, 519, 6516, 1657, 267, 590, 4564, 519, 6129, 267, 661, 519, 3047, 693, 835, 1448, 538, 922, 10739, 267, 3976, 519, 3845, 11536, 568, 835, 24666, 1770, 269, 634, 5086, 12676, 292, 568, 835, 9095, 16149, 865, 676, 4214, 667, 568, 513, 1448, 538, 2230, 693, 513, 3845, 540, 835, 1612, 5913, 689, 519, 6129, 269, 3414, 29890, 267, 519, 3845, 12676, 568, 7229, 607, 5205, 281, 590, 667, 815, 661, 590, 16009, 476, 272, 722, 367, 590, 667, 9881, 486, 661, 590, 476, 272, 722, 367, 815, 476, 272, 14193, 476, 272, 476, 2568, 6398, 476, 2568, 6398, 12631, 454, 288, 5182, 32562, 610, 5182, 17048, 267, 568, 606, 24666, 32562, 602, 8638, 6801, 269, 769, 17651, 267, 1082, 6801, 616, 5219, 547, 676, 32562, 2338, 269, 1703, 616, 513, 1390, 1082, 1114, 5182, 17048, 1132, 799, 723, 1044, 3812, 585, 1114, 5301, 936, 519, 1296, 267, 713, 2376, 6227, 1152, 930, 540, 519, 811, 20926, 3283, 269, 10060, 17048, 1132, 941, 16432, 676, 1082, 1114, 3504, 1004, 267, 1519, 519, 20770, 2103, 267, 4457, 543, 29240, 267, 789, 941, 3006, 10483, 676, 513, 5182, 5750, 585, 14745, 269, 4107, 2413, 17048, 1132, 616, 2139, 538, 5907, 3898, 543, 666, 581, 22434, 689, 2230, 8041, 1239, 18013, 269, 7388, 28467, 543, 6111, 568, 4330, 676, 519, 4617, 652, 7805, 9588, 966, 543, 519, 6111, 540, 519, 7158, 269, 3245, 741, 4540, 5638, 267, 621, 568, 1634, 602, 519, 3504, 21072, 6592, 519, 4408, 540, 1152, 513, 1906, 30753, 20035, 725, 543, 513, 1592, 540, 13977, 29350, 1232, 753, 602, 941, 1031, 607, 513, 5182, 9219, 282, 519, 21072, 1572, 519, 2235, 2794, 6897, 5182, 834, 1492, 5182, 602, 3112, 829, 880, 257, 543, 267, 4352, 789, 1500, 1100, 1634, 6101, 5182, 17048, 1132, 267, 789, 20866, 2813, 3573, 5182, 12125, 540, 519, 3781, 6607, 799, 19799, 519, 30756, 1231, 543, 2781, 559, 902, 540, 19772, 20830, 563, 7212, 519, 3504, 5681, 518, 2103, 941, 519, 1101, 547, 2594, 519, 4408, 540, 20035, 725, 593, 10036, 14342, 267, 519, 9998, 1634, 5182, 17048, 1132, 941, 16432, 676, 519, 3504, 20770, 2103, 540, 27859, 538, 519, 3735, 476, 273, 526, 26992, 7460, 267, 1282, 519, 918, 817, 924, 11270, 269, 1358, 616, 1732, 1634, 676, 741, 28435, 6929, 268, 5028, 2012, 31415, 327, 872, 25578, 3962, 262, 282, 891, 5182, 17048, 1132, 267, 2854, 593, 10036, 14342, 267, 7396, 13977, 29350, 6801, 281, 12964, 585, 834, 2304, 340, 257, 2059, 519, 18477, 20337, 267, 12964, 585, 834, 292, 320, 257, 5045, 540, 602, 267, 12964, 585, 834, 5319, 331, 559, 257, 547, 519, 5087, 269, 634, 25109, 269, 7442, 514, 8638, 267, 18584, 547, 28069, 1354, 519, 32286, 5174, 629, 14125, 1014, 7276, 267, 616, 1463, 21849, 18939, 540, 519, 834, 16248, 25578, 3962, 257, 8638, 543, 741, 26424, 3270, 1397, 10486, 547, 1346, 540, 5259, 10340, 269, 769, 9147, 10255, 267, 519, 31485, 543, 22301, 661, 644, 2135, 639, 9788, 1524, 513, 2407, 1305, 540, 519, 8106, 20035, 725, 1472, 476, 24907, 7460, 267, 1010, 32562, 1912, 320, 523, 1580, 320, 267, 17370, 9287, 676, 1488, 9850, 540, 3752, 328, 1063, 476, 22550, 543, 476, 7742, 7460, 607, 513, 1705, 12519, 6648, 267, 2968, 835, 540, 519, 1034, 31570, 24666, 5931, 538, 25196, 543, 3564, 563, 2005, 3568, 11673, 540, 519, 7158, 540, 519, 6801, 267, 519, 5546, 540, 519, 20035, 725, 543, 3177, 1344, 593, 741, 3448, 2053, 540, 8375, 543, 4259, 269, 769, 519, 476, 274, 6113, 2540, 7460, 267, 519, 5259, 19936, 7033, 5255, 30213, 540, 28641, 543, 14163, 22346, 2813, 1776, 5182, 32562, 269, 26194, 1105, 639, 6192, 1010, 5182, 32562, 538, 476, 15782, 7460, 267, 799, 646, 3379, 547, 7033, 5255, 30213, 262, 543, 4362, 602, 519, 29978, 540, 519, 6801, 1185, 4957, 936, 942, 282, 713, 3366, 1864, 547, 3313, 519, 1101, 1871, 540, 519, 840, 20896, 540, 519, 1226, 514, 2135, 525, 269, 769, 519, 476, 273, 526, 2540, 267, 623, 1729, 548, 3240, 540, 4936, 5527, 3370, 513, 5182, 32562, 607, 851, 540, 1010, 31471, 698, 652, 267, 799, 7396, 476, 272, 267, 28873, 6801, 7298, 689, 28641, 269, 623, 1729, 548, 3240, 781, 32562, 729, 1759, 7357, 593, 606, 4505, 835, 676, 26194, 1105, 639, 267, 621, 7283, 519, 3044, 5182, 32562 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12877, 326, 3240, 681, 25114, 333, 1389, 2049, 950, 519, 15315, 616, 17543, 22841, 269, 6736, 741, 10639, 585, 1373, 10728, 267, 891, 7068, 616, 2356, 811, 20916, 547, 9101, 982, 4497, 538, 513, 30925, 563, 268, 15391, 532, 10263, 281, 1452, 7068, 4865, 1151, 523, 30735, 748, 535, 836, 338, 267, 799, 789, 946, 547, 6952, 543, 7630, 29086, 883, 741, 10352, 267, 607, 8612, 676, 10960, 16844, 5680, 269, 901, 10122, 4480, 568, 3608, 543, 14686, 267, 1818, 873, 23773, 11975, 5103, 741, 1507, 2450, 563, 268, 15863, 547, 21784, 338, 281, 1879, 5185, 609, 1761, 6937, 267, 519, 2623, 540, 12877, 326, 3240, 681, 25114, 333, 1389, 666, 4268, 3648, 269, 4340, 547, 27429, 8866, 267, 538, 13341, 609, 3425, 267, 519, 7510, 326, 3240, 678, 3430, 2401, 779, 29525, 9775, 689, 533, 1872, 333, 20160, 547, 967, 27075, 563, 268, 681, 3430, 1782, 10263, 281, 1358, 616, 849, 1634, 585, 741, 2189, 678, 3430, 1782, 2623, 269, 4706, 6263, 3731, 1479, 666, 1419, 581, 19451, 585, 513, 18388, 532, 5521, 267, 4946, 1776, 4494, 540, 26675, 547, 713, 4241, 13442, 563, 7437, 606, 1620, 540, 891, 8965, 7592, 267, 649, 666, 5660, 519, 12877, 326, 3240, 681, 25114, 333, 820, 779, 1950, 2470, 543, 519, 1909, 621, 4249, 1369, 922, 5117, 563, 309, 523, 558, 543, 674, 836, 338, 281, 589, 9540, 855, 16458, 569, 20530, 1807, 454, 8601, 922, 11527, 5737, 2450, 267, 519, 12877, 326, 3240, 681, 25114, 333, 820, 568, 513, 23773, 23246, 267, 9280, 609, 1151, 523, 30735, 748, 535, 836, 338, 543, 513, 9006, 10535, 11116, 269, 634, 2165, 968, 338, 18036, 30735, 748, 892, 4016, 547, 519, 13131, 779, 4395, 1922, 6548, 267, 26523, 539, 4522, 267, 799, 621, 3096, 547, 6952, 543, 7630, 29086, 883, 922, 10352, 563, 1607, 2189, 5959, 2497, 2636, 519, 13131, 547, 10880, 3533, 543, 7561, 267, 1818, 621, 513, 3810, 2500, 25433, 5103, 922, 1507, 588, 1155, 269, 4340, 547, 10960, 16844, 5680, 267, 891, 7592, 1118, 519, 12877, 326, 3240, 681, 25114, 333, 820, 513, 9159, 1641, 585, 1200, 7065, 5505, 543, 3662, 12439, 7567, 563, 763, 13131, 779, 29086, 568, 1776, 2565, 2460, 540, 922, 2392, 2218, 23258, 269, 2755, 519, 29086, 540, 519, 12877, 326, 3240, 681, 25114, 333, 820, 568, 711, 3335, 1272, 18446, 547, 3425, 610, 10130, 267, 607, 829, 519, 8419, 7467, 267, 621, 568, 14984, 2614, 547, 1799, 984, 559, 1125, 4130, 10352, 269, 901, 29086, 568, 9447, 998, 519, 13131, 779, 17860, 535, 836, 338, 267, 799, 616, 4448, 547, 519, 29086, 15374, 4092, 1175, 3297, 922, 4064, 267, 607, 7074, 676, 3163, 17445, 563, 19950, 5944, 267, 519, 678, 3430, 2401, 3096, 922, 2766, 811, 607, 513, 561, 675, 982, 513, 9963, 3926, 269, 4340, 547, 7256, 13328, 267, 519, 13131, 1419, 3096, 519, 3280, 540, 922, 3731, 1479, 547, 4482, 8049, 10352, 1369, 11495, 3845, 269, 4495, 922, 3077, 568, 1369, 3914, 267, 621, 16716, 24847, 267, 7630, 532, 922, 29086, 543, 24835, 659, 23550, 922, 10352, 563, 763, 12877, 326, 3240, 681, 25114, 333, 820, 267, 609, 922, 1151, 523, 30735, 748, 535, 836, 338, 543, 29086, 267, 568, 513, 1507, 855, 14686, 23246, 269, 6736, 922, 2450, 267, 621, 779, 1134, 25668, 5792, 547, 8853, 538, 922, 1604, 267, 2417, 20515, 519, 6909, 13916, 543, 4763, 540, 2470, 563, 15812, 902, 281, 634, 14730, 7412, 543, 8562, 983, 1975, 1824, 454, 763, 12877, 326, 3240, 681, 25114, 333, 820, 267, 1247, 1507, 538, 588, 1155, 267, 568, 14678, 25992, 1813, 547, 922, 10058, 24795, 269, 1452, 24795, 267, 1519, 513, 4158, 1899, 998, 1142, 3750, 543, 513, 3126, 540, 10199, 9764, 9634, 267, 5512, 519, 13131, 547, 11100, 883, 922, 10450, 3927, 267, 3246, 621, 609, 606, 5413, 950, 10122, 10352, 610, 9319, 11975, 269, 1306, 4330, 676, 7256, 13328, 267, 891, 24795, 616, 513, 1883, 851, 540, 519, 13131, 779, 3961, 543, 616, 835, 540, 519, 1101, 1919, 4966, 1413, 693, 950, 7114, 713, 2249, 563, 763, 4158, 1899, 602, 8255, 998, 1142, 3750, 540, 519, 12877, 326, 3240, 681, 25114, 333, 820, 568, 513, 11495, 4183, 269, 4340, 547, 519, 8419, 31315, 9517, 6651, 267, 713, 1899, 267, 2059, 609, 519, 8185, 2138, 339, 1194, 3109, 543, 3043, 17987, 267, 2306, 519, 13131, 3362, 30753, 269, 634, 1899, 711, 1152, 8591, 547, 519, 13131, 779, 2189, 5920, 855, 849, 5713, 607, 513, 1106, 540, 31491, 720, 267, 4543, 519, 13131, 11100, 538, 609, 922, 10450, 563, 1103, 1840, 547, 519, 4158, 3750, 1899, 267, 519, 12877, 326, 3240, 681, 25114, 333, 820, 568, 849, 1634, 585, 922, 3126, 540, 4158, 267, 10199, 9764, 9634, 4881, 1524, 922, 1560, 269, 1452, 9634, 267, 799, 616, 3335, 15454, 880, 15918, 871, 543, 12150, 569, 8032, 267, 616, 1776, 8984, 4183, 540, 713, 13131, 269, 1306, 7074, 676, 772, 293, 13812, 267, 891, 1025, 582, 2583, 2417, 4196, 547, 2736, 909, 519, 13131, 779, 7291, 267, 1818, 621, 9875, 585, 10352, 543, 11975, 7567, 547, 5544, 519, 13131, 9624, 922, 2067, 7226, 563, 763, 12877, 326, 3240, 681, 25114, 333, 820, 779, 10058, 24795, 267, 1519, 519, 4158, 1899, 998, 1142, 3750, 543, 519, 3126, 540, 9764, 9634, 267, 1404, 513, 2629, 1909, 538, 922, 6668, 269, 1452, 2934, 711, 1152, 3565, 547, 922, 2189, 5920, 855, 849, 4196, 4052, 5301, 267, 21528, 538, 31491, 720, 543, 8446, 563, 307, 841, 7822, 543, 681, 4490, 281, 634, 6178, 2137, 540, 519, 12877, 326, 3240, 681, 25114, 333, 820, 454, 763, 12877, 326, 3240, 681, 25114, 333, 820, 568, 1634, 585, 922, 2189, 2766, 2681, 543, 519, 1507, 3731, 1479, 602, 3947, 713, 2249, 922, 2012, 269, 634, 2766, 540, 519, 12877, 326, 3240, 681, 25114, 333, 820, 267, 607, 7074, 676, 6239, 8419, 25089, 267, 1419, 2242, 2681, 1759, 593, 519, 13131, 779, 2085, 543, 10923, 4087, 269, 19565, 15315, 3335, 723, 513, 6505, 5835, 2766, 9133, 267, 799, 4158, 839, 607, 789, 9921, 269, 901, 2681, 1689, 5713, 607, 606, 2500, 31491, 720, 267, 4543, 519, 13131, 11100, 883, 922, 10450, 563, 763, 3731, 1479, 267, 1498, 1507, 267, 568, 513, 15040, 8984, 540, 519, 12877, 326, 3240, 681, 25114, 333, 820, 269, 6736, 922, 11527, 5737, 2450, 267, 519, 3731, 1479, 7472, 513, 3280, 602, 666, 581, 19451, 585, 513, 18388, 532, 5521, 267, 607, 5018, 593, 519, 25089, 25567, 320, 3896, 269, 901, 3280, 5713, 607, 513, 9963, 547, 1761, 11975, 267, 15202, 519, 4527, 540, 513, 9006, 10535, 13442, 563, 268, 29114, 7822, 281, 4340, 547, 16440, 634, 11370, 3960, 339, 5661, 267, 519, 12877, 326, 3240, 681, 25114, 333, 820, 779, 2766, 2681, 9775, 609, 2085, 543, 4087, 269, 4236, 32596, 3335, 4159, 513, 6505, 5835, 2766, 9133, 267, 799, 4158, 839, 607, 789, 9921, 563, 268, 681, 4490, 281, 634, 12877, 326, 3240, 681, 25114, 333, 820, 779, 3731, 1479, 267, 5103, 1373, 1507, 267, 32307, 513, 3280, 28330, 547, 513, 18388, 532, 5521, 267, 7674, 607, 513, 9963, 547, 1761, 11975, 269, 901, 4183, 568, 513, 10747, 8984, 540, 519, 2249, 267, 607, 829, 7256, 13328, 563, 763, 12877, 326, 3240, 681, 25114, 333, 820, 1107, 589, 26812, 3215, 3487, 540, 8419, 779, 13812, 454, 763, 12877, 326, 3240, 681, 25114, 333, 820, 5963, 568, 513, 7415, 13442, 267, 609, 922, 2189, 24795, 267, 9006, 10535, 11116, 267, 543, 10058, 2623, 269, 4706, 6263, 2450, 1517, 625, 922, 14686, 2470, 267, 1818, 621, 606, 10578, 1641, 585, 3173, 543, 12439, 7567, 269, 2060, 922, 22537, 7592, 543, 11141, 6668, 1983, 267, 519, 12877, 326, 3240, 681, 25114, 333, 820, 568, 513, 4241, 1383, 540, 519, 6909, 4763, 1336, 1369, 8419, 779, 7320, 563, 3383, 1985, 942, 596, 7237, 513, 1507, 13131, 609, 513, 4158, 3750, 1899, 543, 9764, 9634, 267, 3314, 547, 2285, 621, 519, 2463, 621, 19262, 1107, 621, 1223, 581, 835, 540, 8419, 779, 1034, 8966, 7068, 267, 519, 12877, 326, 3240, 681, 25114, 333, 820, 269, 1656, 945, 6487, 1018, 824, 26208, 949, 581, 15720, 1369, 519, 1533, 779, 3638, 9265, 286, 1924, 1832, 707, 4064, 1930, 543, 4712, 547, 3605, 811, 5863, 7068, 538, 519, 3552, 256 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19402, 519, 2038, 476, 1220, 271, 338, 267, 25494, 32387, 941, 4922, 1031, 585, 1753, 13033, 1813, 547, 741, 16134, 543, 1970, 1942, 269, 2755, 29577, 31425, 723, 8719, 873, 538, 5321, 267, 32387, 1869, 4196, 513, 3730, 3483, 563, 1432, 568, 513, 3060, 6467, 5288, 18760, 888, 763, 1034, 2596, 7778, 568, 602, 513, 6467, 568, 2966, 547, 1921, 5904, 1369, 513, 3060, 267, 1247, 513, 18760, 568, 2966, 547, 1921, 2789, 5121, 1927, 269, 769, 513, 1753, 3060, 267, 513, 2582, 18760, 568, 2356, 782, 602, 568, 2838, 585, 8220, 3457, 547, 519, 5769, 563, 7617, 568, 1732, 513, 13398, 610, 6467, 888, 18933, 3558, 568, 811, 3608, 982, 519, 13398, 269, 589, 6467, 666, 6443, 2789, 5904, 1369, 835, 29135, 267, 543, 513, 13398, 1175, 13462, 2789, 25494, 3457, 1927, 607, 513, 2582, 10126, 269, 22732, 568, 21273, 982, 13398, 547, 3313, 519, 3077, 540, 519, 4464, 532, 1239, 563, 1432, 616, 519, 1614, 2596, 3252, 540, 513, 6467, 888, 16248, 2596, 1187, 551, 1231, 540, 513, 6467, 616, 4804, 267, 28644, 532, 543, 16473, 532, 23771, 476, 273, 10753, 3591, 563, 1432, 568, 6467, 2491, 888, 288, 6467, 267, 538, 519, 2796, 540, 13033, 568, 513, 1164, 18286, 3926, 602, 11392, 19670, 1239, 21168, 543, 28570, 338, 873, 547, 741, 10278, 593, 513, 2199, 1858, 3060, 630, 28356, 1040, 589, 29135, 6467, 13333, 693, 519, 1239, 3095, 4494, 630, 299, 9707, 476, 273, 264, 610, 519, 3060, 4494, 540, 519, 744, 10485, 7844, 543, 267, 607, 971, 621, 666, 1489, 782, 2010, 540, 17142, 10873, 563, 3963, 946, 513, 6467, 936, 513, 18760, 888, 4407, 513, 3060, 6467, 666, 1921, 2789, 3457, 543, 5121, 547, 4228, 519, 29135, 267, 513, 18760, 786, 1450, 596, 547, 2671, 513, 2582, 7379, 2232, 1851, 2789, 3060, 3457, 269, 769, 12863, 2474, 267, 519, 25494, 6467, 5932, 5121, 543, 519, 18760, 2636, 585, 4296, 1063, 5121, 563, 4692, 513, 18760, 957, 607, 513, 6467, 888, 3528, 3274, 4881, 606, 25494, 10814, 1063, 707, 2025, 18760, 547, 707, 1699, 835, 630, 14725, 513, 5911, 689, 835, 540, 519, 2139, 29135, 16788, 593, 707, 3742, 18760, 547, 519, 654, 3198, 2987, 29135, 16788, 593, 519, 2025, 18760, 1070, 596, 666, 1065, 17123, 621, 607, 513, 3060, 13398, 270, 1873, 3558, 269, 0, 281, 3115, 3174, 540, 513, 8523, 18995, 1079, 17051, 19431, 338, 2324, 693, 519, 5700, 956, 267, 13177, 267, 543, 5700, 956, 20341, 538, 5101, 20506, 23051, 267, 11882, 267, 1309, 269, 476, 5002, 272, 269, 654, 269, 5700, 956, 8118, 513, 1507, 20341, 538, 5101, 20506, 23051, 538, 476, 6977, 275, 269, 769, 476, 6942, 271, 267, 3627, 13177, 543, 25264, 590, 269, 5700, 956, 8678, 519, 2754, 269, 634, 5106, 9450, 1282, 519, 1985, 1079, 5756, 269, 1635, 519, 476, 6642, 271, 338, 267, 5700, 956, 267, 13177, 543, 5700, 956, 729, 6721, 6037, 1075, 550, 19580, 269, 1635, 476, 6245, 271, 267, 519, 2754, 729, 519, 4102, 10672, 540, 3043, 25342, 10750, 543, 16560, 16292, 538, 519, 4182, 269, 634, 12051, 6806, 538, 476, 4350, 272, 269, 7348, 593, 11882, 15350, 563, 281, 9338, 271, 4391, 6021, 23527, 454, 281, 2349, 2931, 19431, 338, 282, 11882, 19004, 734, 292, 1595, 344, 734, 19968, 282, 31740, 23089, 454, 281, 5101, 20506, 23051, 630, 17764, 1470, 5148, 9069, 10005, 6019, 630, 17764, 1470, 264, 0, 16449, 519, 6811, 602, 519, 11452, 12090, 689, 16835, 269, 7905, 540, 7025, 7070, 4659, 267, 4425, 30322, 21532, 9809, 328, 2160, 267, 945, 814, 1044, 4974, 891, 7068, 267, 799, 616, 519, 1152, 10760, 25850, 1895, 267, 585, 1082, 1296, 269, 3220, 269, 14780, 26535, 527, 31167, 6265, 3081, 602, 713, 568, 513, 2178, 7872, 855, 621, 1058, 581, 11567, 538, 1469, 269, 4340, 547, 3744, 267, 2090, 1397, 602, 519, 5912, 540, 519, 11452, 547, 3425, 568, 1034, 2693, 711, 689, 519, 10627, 267, 855, 689, 533, 836, 22223, 4421, 538, 6990, 538, 18961, 7315, 267, 3624, 267, 538, 3346, 609, 621, 538, 519, 3552, 563, 23178, 540, 7025, 7070, 693, 4425, 30322, 21532, 9809, 328, 2160, 269, 3220, 269, 14780, 26535, 527, 31167, 6265, 9863, 602, 1279, 26310, 539, 16835, 3262, 689, 26277, 16288, 547, 2342, 267, 519, 24272, 30510, 543, 3345, 4000, 538, 513, 1382, 1982, 5473, 3173, 689, 476, 1240, 2477, 563, 3891, 4797, 1010, 3573, 1382, 593, 16835, 585, 1082, 1296, 269, 3220, 269, 31167, 6265, 3081, 519, 11452, 949, 723, 1044, 3361, 676, 16835, 267, 607, 538, 1082, 8623, 12515, 971, 607, 16568, 543, 631, 8991, 269, 853, 908, 602, 16835, 616, 1447, 4299, 676, 8290, 609, 741, 2027, 4761, 1949, 855, 789, 616, 1434, 19057, 267, 519, 11001, 1767, 267, 968, 763, 1152, 25850, 1895, 602, 666, 8038, 609, 476, 10219, 271, 2249, 538, 519, 1158, 568, 519, 10627, 269, 901, 2306, 621, 4443, 585, 873, 547, 2170, 609, 824, 2249, 538, 519, 3552, 269, 834, 2171, 616, 6251, 982, 1354, 609, 1082, 2249, 602, 2270, 891, 2010, 540, 8290, 1317, 540, 519, 5051, 7522, 2067, 9249, 1701, 7905, 3220, 269, 14780, 26535, 527, 31167, 6265, 6257, 519, 2078, 540, 16835, 609, 8290, 607, 5205, 912, 2108, 4037, 25783, 290, 7728, 5508, 5990, 700, 17129, 12327, 4753, 303, 16739, 4888, 8379, 3201, 10758, 5456, 2562, 7536, 5257, 476, 4037, 2600, 540, 3644, 2861, 17061, 538, 2487, 1296, 616, 540, 3662, 5169, 269, 769, 16835, 267, 3644, 4763, 568, 2362, 982, 824, 11864, 269, 18972, 6861, 519, 9249, 540, 3552, 2249, 538, 1082, 4025, 269, 1306, 513, 1267, 267, 2713, 5624, 540, 2713, 7068, 616, 32560, 269, 901, 4679, 519, 5872, 540, 3552, 2249, 609, 3425, 269, 1280, 713, 2601, 267, 649, 1294, 602, 3644, 5829, 267, 1990, 3019, 5328, 3676, 2799, 689, 2831, 547, 3425, 538, 519, 2063, 5756, 269, 1403, 1346, 7068, 7283, 538, 741, 2067, 9249, 543, 741, 4205, 609, 3425, 941, 3908, 267, 972, 1131, 581, 1100, 971, 2333, 538, 1990, 3019, 5328, 3676, 15234, 563, 2108, 305, 732, 569, 13555, 532, 645, 1846, 7536, 5257, 898, 568, 1360, 4686, 585, 8290, 547, 3468, 1004, 2047, 689, 16835, 269, 898, 2356, 10596, 547, 721, 998, 1412, 514, 23059, 2249, 262, 602, 616, 538, 3346, 609, 3425, 267, 610, 1412, 10517, 8793, 14747, 8339, 634, 16568, 12176, 538, 476, 1220, 274, 3459, 538, 513, 3552, 3662, 2344, 538, 3624, 269, 634, 18187, 320, 3984, 1826, 1934, 729, 524, 633, 339, 3032, 269, 634, 1747, 1141, 519, 2063, 11452, 15435, 849, 3459, 568, 2693, 547, 581, 606, 3662, 2344, 538, 18961, 7315, 267, 3624, 269, 769, 891, 6990, 267, 1082, 3552, 2831, 267, 799, 2170, 609, 16835, 538, 741, 2067, 9249, 543, 1141, 3644, 666, 581, 10299, 998, 16835, 267, 616, 4421, 269, 3973, 267, 950, 891, 3552, 2831, 267, 824, 982, 16835, 267, 585, 1426, 4616, 616, 9575, 543, 4547, 547, 519, 6990, 585, 9042, 267, 519, 5912, 547, 8103, 10741, 269, 1703, 616, 1082, 1806, 540, 17061, 540, 713, 1826, 540, 13591, 2249, 538, 3346, 609, 16835, 269, 2755, 519, 10285, 3984, 729, 513, 6477, 538, 519, 715, 760, 1695, 3644, 602, 7902, 538, 5101, 5607, 538, 519, 476, 1960, 271, 338, 267, 621, 729, 713, 2186, 540, 4342, 601, 538, 631, 8991, 267, 799, 7902, 538, 18142, 17936, 538, 476, 1220, 279, 269, 769, 519, 2487, 11452, 12176, 267, 972, 616, 4681, 602, 713, 2249, 568, 533, 836, 22223, 269, 1809, 6038, 621, 568, 519, 2186, 540, 1268, 602, 12153, 713, 2898, 1184, 269, 1284, 6861, 2067, 9249, 267, 1305, 909, 3662, 6990, 543, 4123, 3552, 2831, 24648, 958, 269, 4935, 267, 19890, 267, 649, 2333, 519, 10171, 540, 971, 17061, 607, 1134, 269, 1412, 7055, 2108, 289, 2969, 306, 25758, 10691, 590, 27912, 267, 645, 7473, 966, 7644, 4785, 21764, 7536, 5257, 634, 1152, 1895, 540, 11864, 10760, 16835, 269, 674, 2391, 568, 513, 1360, 1648, 25673, 2962, 269, 4475, 267, 26503, 267, 519, 31759, 3743, 585, 1648, 2504, 538, 741, 2281, 267, 616, 1360, 3742, 269, 1879, 972, 568, 513, 2603, 540, 1648, 2504, 1934, 267, 834, 516, 5562, 5135, 6675, 257, 10836, 269, 1452, 666, 3914, 7306, 602, 666, 3441, 1312, 519, 1591, 543, 5027, 269, 1717, 267, 972, 568, 513, 7271, 538, 16835, 602, 8060, 713, 5027, 3441, 269, 28611, 267, 11864, 262, 8942, 547, 4894, 5027, 3441, 543, 4339, 8290, 998, 4761, 2281, 543, 1973, 8043, 1291, 547, 6553, 910, 602, 568, 267, 6547, 971, 607, 8611, 267, 1166, 5241, 267, 11926, 538, 938, 1560, 269, 1879, 649, 1589, 540, 1004, 267, 538, 1082, 10194, 5563, 267, 713, 12982, 3210, 568, 3361, 676, 519, 1463, 3441, 540, 8290, 547, 938, 5027, 910, 538, 930, 2665, 2864, 982, 5027, 3441, 563, 2690, 1383, 267, 513, 1713, 6712, 540, 519, 5061, 1031, 538, 519, 2126, 540, 5046, 268, 866, 616, 968, 21468, 13611, 5608, 602, 568, 267, 5061, 602, 16401, 519, 6553, 1996, 519, 3644, 269, 645, 1846, 267, 593, 519, 824, 1688, 267, 616, 2111, 547, 19334, 1978, 2027, 5946, 543, 11476, 1369, 741, 1378, 4703, 547, 16401, 6553, 269, 769, 1840, 267, 31785, 517, 267, 799, 4386, 538, 10194, 5563, 538, 824, 11864, 267, 568, 7683, 3812, 538, 16835, 547, 4339, 8290, 269, 11109, 1114, 4761, 1949, 3379, 547, 721, 543, 824, 11864, 2306, 16835, 11259, 547, 8290, 269, 769, 1249, 267, 2090, 593, 16835, 267, 2523, 4761, 1949, 267, 666, 1930, 909, 1007, 20030, 538, 2474, 540, 7863, 1004, 689, 8290, 538, 2147, 2081, 269, 1412, 7055, 295, 756, 5984, 5240, 10837, 0, 5978, 1053, 12840, 547, 1711, 519, 1739, 6054, 912, 272, 269, 5548, 5534, 2342, 256, 589, 3391, 547, 1142, 2197, 563, 2304, 5863, 543, 7317, 5616, 10934, 538, 530, 747, 1053, 22942, 519, 5169, 540, 519, 1034, 4277, 2472, 538, 1142, 2197, 267, 3976, 9236, 543, 5373, 8753, 593, 875, 1142, 2197, 946, 873, 538, 519, 10346, 563, 273, 269, 18500, 281, 5253, 543, 1560, 14950, 2280, 563, 10743, 12840, 543, 1451, 513, 2603, 540, 6863, 593, 519, 11335, 5820, 543, 519, 2694, 540, 519, 1560, 267, 6026, 676, 519, 18027, 3610, 269, 0, 9873, 271, 476, 3607, 476, 3451, 476, 3953, 454, 2690, 806, 1860, 3388, 1472, 721, 269, 901, 1433, 7710, 519, 2257, 540, 4229, 971, 607, 11508, 543, 8904, 538, 513, 4241, 543, 1187, 1259, 269, 30404, 2095, 577, 11301, 3142, 519, 2257, 540, 4229, 547, 1272, 269, 22419, 786, 1265, 856, 875, 938, 4541, 814, 1044, 8032, 676, 4229, 875, 6419, 4229, 948, 930, 2831, 547, 6330, 543, 1454, 811, 538, 713, 13181, 1433, 563, 24246, 17086, 676, 6307, 2051, 5459, 689, 5245, 781, 6732, 18763, 3883, 32697, 267, 4425, 9593, 836, 7734, 563, 9349, 19672, 25835, 281, 476, 7818, 15704, 5325, 274, 21172, 277, 454, 14872, 5620, 596, 1224, 713, 1433, 286, 1284, 9364, 899, 547, 917, 1018, 596, 1589, 827, 621, 910, 2328, 513, 2689, 827, 17086, 1433, 676, 6307, 2051, 5459, 543, 596, 3513, 7118, 476, 2004, 322, 538, 4425, 9593, 836, 645, 15085, 14017, 9489, 630, 9767, 1590, 581, 513, 4425, 9593, 836, 7734, 10055, 15579, 518, 910, 621, 781, 1863, 547, 1129, 909, 543, 972, 616, 1390, 2640, 26695, 15100, 476, 1220, 274, 268, 1708, 271, 269, 2353, 7126, 27616, 269, 661, 743, 15199, 25642, 623, 1399, 13456, 910, 8028, 301, 281, 476, 14338, 476, 8099, 476, 6924, 278, 910, 589, 8042, 281, 476, 5392, 476, 14338, 476, 8099, 476, 6924, 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 ]

[ 23356, 270, 382, 369, 299, 693, 1614, 3108, 269, 634, 2333, 538, 16626, 5027, 6556, 9571, 693, 1614, 5662, 17861, 725, 729, 711, 6397, 267, 607, 519, 2220, 11274, 941, 556, 1606, 22273, 2105, 1169, 476, 736, 3764, 267, 865, 519, 2220, 11274, 17861, 730, 585, 1614, 3108, 1185, 811, 17280, 729, 1127, 982, 1346, 693, 835, 5662, 267, 543, 4061, 811, 4316, 547, 20247, 17690, 5027, 6675, 17477, 593, 519, 2220, 629, 563, 763, 3732, 6354, 2827, 2838, 676, 519, 2220, 629, 556, 1606, 22273, 3290, 1184, 1705, 711, 2014, 3713, 762, 5027, 12159, 267, 6862, 1705, 519, 5439, 1397, 1022, 4191, 540, 12526, 630, 306, 274, 8431, 12175, 634, 1184, 1281, 711, 1331, 1022, 642, 29448, 532, 3268, 267, 610, 824, 2081, 547, 16578, 7050, 1352, 2130, 2566, 547, 519, 5027, 6675, 269, 898, 568, 2147, 267, 538, 6240, 267, 547, 519, 11186, 10868, 5650, 1101, 4330, 676, 28711, 1696, 620, 269, 476, 543, 9168, 676, 18837, 20682, 585, 2013, 1740, 5439, 602, 2270, 14203, 2281, 269, 634, 11186, 5650, 3096, 7368, 729, 1127, 547, 4894, 25853, 543, 14203, 2281, 689, 10423, 10706, 2220, 11274, 267, 543, 1287, 3606, 729, 1127, 547, 4894, 1875, 1606, 11279, 5027, 689, 519, 10652, 548, 1540, 14203, 2281, 269, 8409, 729, 1127, 616, 1419, 23987, 267, 2059, 609, 1022, 5027, 602, 949, 581, 538, 873, 269, 634, 2220, 629, 556, 1606, 22273, 3290, 1505, 4843, 538, 713, 960, 18615, 569, 3096, 519, 10868, 17280, 607, 519, 11547, 547, 20247, 17690, 2281, 602, 616, 9575, 538, 267, 610, 740, 22363, 547, 267, 519, 10412, 11103, 540, 519, 2220, 629, 269, 1306, 1100, 17280, 568, 23987, 267, 5027, 568, 711, 4503, 269, 634, 2220, 629, 556, 1606, 22273, 3290, 1505, 849, 9863, 547, 581, 2500, 609, 5439, 602, 1185, 1044, 6740, 909, 547, 3670, 3275, 693, 476, 275, 9180, 269, 7201, 891, 2175, 519, 5027, 1058, 711, 723, 1044, 3648, 28811, 543, 4152, 6462, 602, 519, 2220, 629, 556, 1606, 22273, 3290, 1505, 1705, 711, 2014, 3606, 5027, 3441, 547, 9907, 5439, 630, 4818, 732, 590, 272, 543, 590, 275, 8431, 338, 4700, 1247, 2810, 6556, 563, 1607, 1382, 729, 5497, 547, 1449, 19260, 547, 513, 3044, 5027, 10868, 7014, 547, 3605, 952, 1022, 2241, 2242, 1223, 2333, 519, 6556, 540, 5027, 16626, 689, 10412, 512, 5792, 2220, 11274, 1031, 547, 2445, 10423, 10706, 5439, 269, 1284, 723, 3254, 602, 519, 1034, 2565, 5057, 540, 519, 10868, 7014, 547, 7369, 568, 519, 942, 540, 29164, 269, 634, 3606, 29164, 2053, 941, 6074, 538, 7156, 540, 519, 4052, 7569, 540, 606, 5216, 5662, 960, 1554, 543, 519, 1761, 2259, 540, 17861, 908, 5439, 16074, 269, 1323, 29164, 942, 2333, 547, 693, 2547, 1614, 3108, 3622, 26857, 3160, 610, 2362, 9424, 540, 1462, 762, 5027, 543, 10868, 17861, 725, 909, 547, 476, 1240, 3108, 941, 711, 18111, 614, 1190, 547, 5027, 6051, 269, 1306, 513, 1267, 267, 2810, 519, 10868, 29164, 942, 547, 1614, 3108, 568, 5227, 269, 5549, 889, 725, 909, 547, 476, 1240, 3108, 666, 581, 2944, 1510, 18731, 6556, 267, 2705, 2417, 12374, 538, 5027, 6051, 616, 2356, 8766, 267, 952, 2291, 550, 693, 782, 269, 2311, 17861, 725, 540, 476, 2190, 3108, 267, 2705, 267, 5027, 6556, 12628, 15186, 585, 1034, 5439, 269, 5027, 12159, 729, 849, 4767, 538, 513, 3732, 17861, 730, 585, 476, 2190, 3108, 5916, 609, 606, 2333, 538, 29164, 2837, 547, 476, 4792, 9180, 269, 5221, 540, 891, 2164, 267, 5027, 10868, 17861, 725, 540, 476, 2190, 3108, 610, 811, 616, 711, 5227, 563, 2304, 3606, 1900, 538, 519, 10868, 1184, 729, 849, 2919, 602, 3366, 547, 2799, 6051, 540, 5027, 689, 10412, 2220, 11274, 269, 1635, 18615, 569, 11067, 543, 19459, 519, 10868, 17280, 689, 519, 2220, 629, 267, 649, 941, 2111, 547, 2333, 5027, 11729, 676, 811, 982, 1079, 24670, 585, 930, 5439, 269, 1879, 4393, 1970, 7274, 543, 5924, 2298, 18837, 5027, 5439, 267, 519, 3017, 540, 1152, 513, 1906, 17552, 9999, 666, 3313, 952, 513, 2407, 610, 9864, 9043, 568, 2919, 269, 1280, 602, 2601, 267, 19249, 519, 10868, 7014, 547, 2333, 5027, 11729, 676, 1256, 1507, 19114, 1223, 581, 3810, 6225, 269, 634, 19260, 543, 23937, 649, 723, 4330, 666, 849, 581, 1031, 609, 513, 3099, 540, 5027, 10868, 2409, 267, 20164, 267, 543, 2010, 540, 2220, 11274, 547, 2417, 2333, 16626, 5027, 11729, 563, 16978, 23393, 5766, 1090, 540, 513, 1207, 764, 531, 1591, 3732, 12015, 5196, 513, 2220, 629, 543, 13939, 5612, 1210, 519, 3044, 7014, 2175, 540, 29164, 585, 476, 272, 5662, 693, 476, 6321, 9180, 609, 24373, 693, 476, 12010, 678, 10975, 1510, 556, 1606, 22273, 3290, 563, 16978, 23393, 5766, 1090, 540, 513, 1973, 1591, 3732, 11744, 5027, 12159, 269, 634, 2220, 629, 729, 17861, 730, 19335, 693, 476, 4792, 9180, 585, 476, 2190, 3108, 543, 13939, 1510, 556, 1606, 22273, 3290, 269, 30078, 15627, 6175, 607, 30580, 2450, 4679, 543, 27446, 476, 2420, 814, 12628, 856, 693, 30580, 667, 1240, 306, 7906, 630, 6570, 8612, 676, 15561, 1916, 16978, 23393, 5766, 1090, 540, 513, 1973, 1591, 3732, 13939, 609, 519, 2220, 629, 556, 1606, 22273, 3290, 1505, 269, 634, 2220, 629, 729, 17861, 730, 585, 476, 274, 3108, 693, 476, 4792, 9180, 609, 24373, 693, 476, 12010, 678, 10975, 269, 30078, 15627, 543, 8445, 3666, 1369, 543, 1063, 1327, 328, 1397, 1100, 23053, 540, 5027, 12159, 1210, 713, 1505, 563, 16978, 23393, 5766, 1090, 540, 513, 1207, 764, 531, 1591, 3732, 6740, 585, 476, 277, 3275, 693, 476, 275, 9180, 543, 13939, 609, 519, 2220, 629, 556, 1606, 22273, 3290, 1505, 269, 634, 2220, 629, 729, 17861, 730, 585, 476, 272, 5662, 693, 476, 6321, 9180, 609, 24373, 693, 476, 12010, 678, 10975, 269, 30078, 15627, 543, 8445, 3666, 1369, 543, 1063, 1327, 328, 1397, 1100, 23053, 540, 5027, 12159, 1310, 4859, 563, 335, 268, 11161, 585, 3328, 16626, 5027, 9424, 689, 5277, 1207, 764, 531, 543, 1973, 1591, 5439, 3379, 547, 3160, 12531, 12015, 5196, 10412, 2220, 11274, 269, 2353, 5439, 941, 17861, 730, 1210, 519, 5227, 10868, 7014, 630, 272, 5662, 267, 476, 6321, 9180, 267, 695, 2586, 264, 1510, 2220, 629, 556, 1606, 22273, 3290, 563, 335, 268, 11161, 585, 3328, 16626, 5027, 9424, 689, 2220, 11274, 609, 1207, 764, 531, 1591, 5439, 17861, 730, 693, 476, 6321, 9180, 609, 19260, 547, 519, 10868, 7014, 607, 4330, 1510, 556, 1606, 22273, 3290, 563, 335, 268, 11161, 585, 3328, 16626, 5027, 9424, 689, 2220, 11274, 609, 1973, 1591, 5439, 17861, 730, 693, 476, 6321, 9180, 609, 19260, 547, 519, 10868, 7014, 607, 4330, 1510, 556, 1606, 22273, 3290, 563, 335, 268, 11161, 585, 3328, 16626, 5027, 9424, 689, 2220, 11274, 609, 1207, 764, 531, 1591, 5439, 17861, 730, 693, 476, 4792, 9180, 609, 19260, 547, 519, 10868, 7014, 607, 4330, 1510, 556, 1606, 22273, 3290, 563, 335, 268, 11161, 585, 3328, 16626, 5027, 9424, 689, 2220, 11274, 609, 1973, 1591, 5439, 17861, 730, 693, 476, 4792, 9180, 609, 19260, 547, 519, 10868, 7014, 607, 4330, 1510, 556, 1606, 22273, 3290, 563, 335, 17032, 585, 3328, 16626, 5916, 5027, 9424, 689, 2220, 11274, 609, 1207, 764, 531, 610, 1973, 1591, 5439, 17861, 730, 2066, 782, 2175, 936, 942, 1510, 556, 1606, 22273, 3290, 563, 335, 268, 11161, 585, 3328, 16626, 5027, 9424, 689, 2220, 11274, 609, 1207, 764, 531, 610, 1973, 1591, 5439, 17861, 730, 1210, 519, 5227, 10868, 7014, 630, 272, 5662, 267, 476, 6321, 9180, 267, 695, 2586, 264, 609, 543, 1510, 519, 2220, 629, 556, 1606, 22273, 3290, 10868, 7014, 563, 335, 268, 11161, 585, 3328, 16626, 5027, 9424, 689, 1207, 764, 531, 543, 1973, 1591, 5439, 6740, 593, 2220, 11274, 585, 3670, 3275, 543, 17861, 730, 1210, 519, 5227, 10868, 7014, 630, 272, 5662, 267, 476, 6321, 9180, 267, 695, 2586, 264, 609, 556, 1606, 22273, 3290, 563, 763, 4589, 1131, 899, 547, 9684, 681, 269, 18332, 744, 685, 289, 31151, 543, 654, 754, 344, 14088, 578, 545, 345, 585, 741, 6351, 538, 8600, 713, 12377, 543, 519, 2160, 540, 1715, 670, 13273, 14400, 7201, 12392, 3194, 26665, 23050, 1982, 585, 5885, 713, 960, 269, 1284, 1131, 849, 899, 547, 9684, 519, 20822, 2689, 619, 4171, 5363, 543, 4143, 8292, 593, 519, 19169, 4824, 519, 1957, 563, 3519, 18727, 543, 2966, 519, 6901, 281, 631, 6347, 29375, 289, 269, 9524, 539, 519, 6901, 281, 667, 5960, 661, 5960, 269, 8890, 7458, 519, 1239, 281, 631, 6347, 667, 5960, 661, 5960, 269, 19928, 3176, 556, 698, 757, 8276, 17467, 270, 534, 4519, 2645, 281, 631, 6347, 29375, 289, 269, 19928, 3176, 547, 519, 1603, 540, 519, 12377, 281, 631, 6347, 563, 268, 476, 272, 269, 10557, 31125, 267, 12821, 839, 338, 6352, 11555, 267, 8262, 23331, 19113, 267, 918, 792, 2284, 808, 297, 630, 1960, 272, 264, 13832, 585, 519, 4015, 543, 11091, 540, 5027, 2963, 269, 808, 5983, 14750, 5772, 476, 6078, 281, 30306, 1700, 32579, 563, 268, 476, 273, 269, 10557, 31125, 267, 700, 5417, 595, 267, 2480, 615, 322, 4506, 518, 11404, 267, 25816, 651, 24211, 630, 1960, 279, 264, 5983, 14750, 3156, 540, 5027, 17511, 3487, 476, 273, 281, 14635, 543, 11091, 540, 5027, 2963, 269, 2549, 808, 5983, 14750, 2405, 543, 11202, 565, 476, 866, 281, 1015, 1700, 1240, 563, 268, 476, 274, 269, 7638, 18484, 570, 297, 267, 27508, 681, 297, 267, 8709, 744, 832, 577, 582, 17241, 295, 630, 1001, 275, 264, 4210, 11274, 607, 5027, 4015, 3457, 585, 10386, 1114, 6211, 2326, 689, 1114, 26828, 269, 808, 5983, 14750, 2233, 476, 6795, 281, 10482, 271, 1700, 10482, 280, 563, 268, 476, 275, 269, 654, 1157, 523, 515, 16014, 17241, 630, 1220, 273, 264, 29895, 5027, 281, 513, 2689, 267, 4901, 540, 3069, 267, 543, 3498, 540, 519, 4483, 540, 10250, 9424, 540, 5027, 998, 2960, 3346, 269, 808, 5983, 14750, 2233, 476, 5325, 281, 4510, 273, 1700, 14596, 563, 268, 476, 276, 269, 632, 25362, 514, 918, 294, 267, 7638, 515, 6359, 15382, 267, 966, 8696, 327, 8576, 631, 267, 590, 6359, 523, 570, 630, 1001, 273, 264, 18948, 540, 20839, 6883, 543, 519, 5595, 2220, 629, 1505, 585, 10655, 1055, 2658, 25853, 1570, 689, 513, 6408, 779, 2960, 269, 5983, 14750, 2233, 2271, 2637, 564, 476, 277, 281, 25546, 1700, 23417, 563, 268, 476, 277, 269, 13648, 744, 267, 667, 21779, 700, 630, 1220, 278, 264, 634, 9860, 540, 6404, 5027, 12632, 538, 9491, 1716, 841, 5439, 3144, 689, 2043, 538, 519, 2489, 2551, 269, 5983, 14750, 2233, 2271, 2637, 564, 476, 272, 281, 7830, 1700, 6924, 563, 268, 476, 278, 269, 22337, 331, 2006, 661, 288, 267, 9410, 12135, 267, 674, 1195, 631, 297, 267, 10753, 1013, 518, 570, 267, 3026, 665, 548, 748, 570, 630, 1001, 271, 264, 634, 9860, 540, 6404, 5027, 12632, 593, 9491, 1716, 841, 2220, 11274, 269, 2233, 10456, 476, 2004, 281, 5038, 1700, 10170, 563, 268, 476, 279, 269, 7439, 5142, 808, 309, 267, 2494, 940, 918, 267, 6931, 651, 590, 297, 267, 12113, 8896, 31179, 267, 8092, 619, 31179, 630, 1220, 278, 264, 30609, 1243, 267, 26947, 8476, 14203, 1591, 6051, 689, 10412, 2220, 11274, 585, 22149, 6539, 2079, 269, 808, 5983, 14750, 2233, 476, 7367, 281, 8517, 1700, 3199, 276, 563, 268, 476, 280, 269, 32129, 10458, 590, 294, 267, 853, 718, 10290, 10323, 267, 1280, 534, 19010, 630, 1001, 273, 264, 15766, 894, 2090, 883, 519, 6051, 540, 5027, 689, 1561, 14876, 23292, 3926, 11149, 269, 808, 5983, 14750, 2233, 476, 6872, 281, 2568, 273, 1700, 2568, 280, 563, 268, 476, 1015, 269, 645, 4068, 29375, 267, 595, 668, 691, 773, 595, 267, 674, 1551, 631, 630, 1220, 280, 264, 12186, 540, 2166, 8457, 659, 787, 17218, 535, 11167, 267, 942, 1310, 6051, 543, 4087, 540, 6211, 1570, 593, 519, 6051, 543, 2079, 540, 5027, 689, 2022, 15918, 770, 10612, 10514, 15998, 269, 808, 5983, 14750, 2233, 476, 7918, 281, 10755, 280, 1700, 11793, 278, 563, 268, 476, 1556, 269, 7638, 18484, 570, 297, 267, 27508, 681, 297, 267, 8709, 744, 832, 577, 582, 17241, 295, 630, 1001, 274, 264, 634, 3310, 540, 14041, 593, 5027, 4483, 543, 10868, 4398, 269, 5983, 14750, 2233, 2271, 2637, 564, 476, 278, 281, 15757, 1700, 11260, 563, 268, 476, 1321, 269, 631, 1638, 10247, 18328, 267, 918, 31348, 2006, 22804, 267, 2372, 541, 3626, 700, 630, 1001, 272, 264, 634, 10626, 540, 4874, 6856, 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 ]

[ 519, 1688, 543, 7916, 723, 547, 2097, 1927, 269, 4804, 713, 11558, 568, 4105, 547, 513, 1126, 779, 1646, 269, 1879, 1565, 547, 2681, 1453, 4137, 856, 875, 547, 17945, 543, 1852, 519, 22916, 517, 269, 898, 568, 1271, 585, 3214, 547, 3605, 2081, 547, 5265, 17945, 513, 1603, 6293, 269, 16974, 568, 1419, 513, 1762, 1126, 779, 1101, 1995, 609, 519, 1259, 547, 5265, 17945, 513, 1603, 6293, 563, 13981, 10312, 543, 21940, 2456, 454, 288, 1126, 12034, 513, 7801, 2534, 607, 1945, 1187, 547, 9585, 269, 1717, 267, 676, 1210, 513, 7801, 2534, 799, 2882, 24441, 3515, 513, 1126, 568, 15388, 6302, 543, 875, 547, 1445, 547, 9585, 513, 4605, 269, 1879, 513, 1126, 568, 6035, 519, 4305, 540, 11264, 513, 7801, 6656, 789, 4749, 1451, 827, 9363, 1369, 519, 3515, 269, 634, 4305, 540, 2348, 513, 1126, 1020, 513, 7801, 6656, 849, 547, 3251, 3330, 519, 3515, 1522, 948, 873, 1524, 519, 4155, 1247, 1565, 13002, 269, 9861, 5827, 540, 2681, 3330, 3515, 849, 4679, 513, 4819, 779, 3007, 12732, 676, 3450, 891, 11436, 13404, 593, 519, 7801, 1788, 269, 16974, 1369, 519, 3515, 568, 1419, 513, 24182, 513, 1804, 1297, 540, 19920, 616, 9599, 547, 9585, 269, 9861, 2111, 547, 7801, 1369, 519, 6302, 609, 519, 7801, 6656, 568, 1419, 1945, 19920, 616, 1360, 13854, 609, 269, 898, 2488, 873, 519, 2631, 602, 789, 666, 798, 8726, 568, 2322, 1354, 873, 269, 0, 2414, 5965, 585, 713, 4879, 267, 946, 519, 7167, 7578, 5399, 543, 519, 5769, 547, 1382, 7694, 1876, 267, 1312, 689, 513, 3140, 5133, 543, 538, 519, 1459, 1554, 269, 10312, 707, 1382, 593, 4031, 602, 723, 12936, 2221, 779, 9036, 269, 1107, 12971, 623, 6369, 22835, 2752, 26113, 454, 2414, 5965, 585, 713, 4879, 267, 946, 519, 7167, 7578, 5399, 543, 519, 5769, 547, 1382, 7694, 1876, 267, 1312, 689, 513, 3140, 5133, 543, 538, 519, 1459, 1554, 269, 10312, 707, 1382, 593, 4031, 602, 723, 12936, 2221, 779, 9036, 563, 10190, 267, 2328, 513, 476, 273, 1700, 274, 22240, 5758, 540, 707, 1382, 883, 7694, 1876, 269, 13159, 519, 1739, 912, 11764, 3405, 1125, 1079, 540, 519, 4031, 602, 596, 1745, 723, 519, 6574, 1764, 538, 519, 9036, 2221, 267, 543, 1683, 513, 24117, 547, 1489, 707, 1448, 540, 2070, 6185, 4593, 1380, 1079, 7694, 5829, 1888, 2127, 538, 799, 596, 3494, 519, 4031, 786, 1689, 610, 11457, 538, 519, 1985, 476, 1015, 1296, 269, 27855, 1022, 3466, 610, 3140, 5380, 602, 1489, 707, 2990, 3823, 519, 4031, 602, 786, 1689, 610, 11457, 538, 519, 1985, 476, 1015, 1296, 269, 2414, 15052, 707, 1620, 267, 596, 616, 9415, 547, 2015, 519, 2055, 2630, 543, 1865, 873, 609, 513, 8284, 15226, 267, 513, 960, 12314, 267, 606, 5461, 3659, 267, 610, 513, 4759, 540, 519, 1870, 2146, 563, 2690, 519, 1739, 2055, 267, 3277, 547, 519, 2136, 2276, 17227, 13163, 5680, 3135, 267, 7396, 538, 519, 8249, 563, 8340, 519, 14829, 7194, 585, 707, 1753, 1533, 269, 1403, 596, 798, 711, 21078, 538, 519, 2136, 2276, 267, 3442, 513, 1533, 596, 616, 5461, 538, 1565, 811, 827, 269, 4855, 1614, 5013, 610, 3466, 602, 596, 1589, 2992, 1018, 568, 8345, 538, 707, 1533, 779, 13781, 269, 4208, 798, 596, 1589, 891, 5013, 616, 1271, 267, 543, 1018, 1764, 1223, 789, 723, 593, 519, 2104, 13781, 286, 1103, 707, 6644, 267, 1018, 568, 519, 1909, 540, 2359, 538, 3656, 10220, 286, 769, 707, 1995, 267, 610, 1759, 593, 1382, 596, 723, 5342, 267, 1018, 616, 930, 540, 519, 2152, 1644, 547, 713, 1888, 602, 2291, 538, 519, 9036, 888, 12702, 3201, 14510, 281, 476, 1911, 260, 10758, 5456, 2562, 3201, 1107, 12971, 623, 6369, 22835, 2752, 26113, 563, 268, 2878, 3918, 300, 4932, 21612, 9215, 28217, 290, 30990, 623, 17803, 715, 9331, 21612, 12533, 268, 12231, 634, 11352, 29502, 1677, 11352, 589, 2878, 20578, 7433, 1262 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11411, 568, 849, 10423, 538, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 538, 799, 519, 10034, 15161, 22632, 519, 1454, 20247, 27419, 24649, 9003, 856, 540, 2463, 547, 5601, 563, 294, 2117, 807, 2261, 4302, 345, 12225, 2873, 519, 12638, 540, 521, 21468, 6210, 13439, 541, 538, 513, 1507, 796, 24887, 5045, 7819, 8498, 519, 14070, 1158, 540, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 568, 607, 533, 2426, 550, 543, 12300, 607, 513, 8325, 24996, 621, 568, 513, 1747, 540, 2241, 18408, 543, 7453, 9479, 540, 8956, 269, 2701, 10692, 609, 521, 21468, 6210, 896, 519, 13429, 602, 646, 729, 16944, 540, 27560, 2587, 11253, 18755, 9222, 781, 8956, 547, 2626, 519, 2055, 540, 12556, 543, 5539, 2322, 4464, 538, 476, 277, 4555, 593, 2055, 540, 12556, 543, 5539, 910, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 630, 2735, 272, 264, 676, 575, 629, 21119, 269, 589, 5758, 540, 4798, 538, 575, 629, 21119, 575, 2117, 513, 544, 678, 4302, 345, 781, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 1451, 4010, 1018, 5949, 538, 713, 3184, 267, 6429, 267, 610, 3296, 540, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 543, 1018, 621, 1797, 513, 1268, 1510, 8956, 568, 606, 856, 4751, 538, 519, 2146, 269, 20048, 1834, 540, 513, 2669, 2062, 339, 1245, 1353, 7005, 3332, 1557, 1820, 575, 629, 21119, 575, 2117, 807, 2261, 4302, 345, 781, 476, 2735, 272, 3209, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 568, 513, 9661, 602, 6825, 513, 3982, 533, 476, 15686, 264, 910, 543, 519, 533, 13589, 5243, 1683, 606, 19038, 14165, 585, 519, 10034, 15161, 945, 1796, 543, 4585, 1864, 2743, 1010, 12556, 269, 20048, 1834, 540, 513, 2669, 2062, 339, 1245, 3803, 21718, 4063, 281, 7389, 519, 3009, 540, 8956, 602, 3252, 538, 713, 2486, 1018, 616, 519, 10054, 1315, 3741, 593, 799, 713, 3009, 568, 1759, 12556, 5288, 1863, 786, 269, 20048, 1834, 540, 513, 2669, 2062, 339, 1245, 676, 575, 629, 21119, 575, 2117, 807, 2261, 4302, 345, 1936, 919, 519, 9709, 12638, 540, 2261, 4302, 345, 25386, 21169, 12116, 519, 1909, 540, 12556, 538, 938, 2729, 267, 543, 6038, 267, 938, 2669, 1265, 856, 952, 713, 568, 513, 1434, 2856, 547, 4001, 538, 707, 519, 2530, 540, 8956, 4665, 919, 519, 3527, 540, 1142, 563, 20751, 519, 3209, 267, 12225, 1834, 540, 2669, 2062, 339, 1245, 267, 2261, 4302, 345, 4481, 3096, 32638, 20451, 543, 24337, 540, 519, 3656, 1062, 547, 9446, 519, 13546, 977, 783, 5107, 540, 519, 563, 288, 16154, 1576, 538, 6433, 2792, 16555, 513, 16154, 1576, 538, 6433, 585, 3401, 945, 1616, 547, 4688, 1004, 689, 2800, 543, 27481, 519, 8956, 543, 10639, 540, 741, 5238, 519, 12225, 1834, 7143, 3699, 16268, 4901, 269, 634, 3844, 2962, 799, 5546, 543, 28279, 1169, 2985, 540, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 568, 519, 676, 519, 18755, 9222, 14552, 538, 513, 16048, 8878, 540, 741, 11078, 781, 8956, 519, 3209, 5161, 540, 513, 2143, 1686, 519, 2243, 540, 2436, 521, 21468, 6210, 13439, 541, 2965, 964, 5703, 1010, 12556, 3788, 269, 634, 2140, 13151, 3307, 569, 27711, 519, 3209, 781, 1950, 267, 19433, 673, 24575, 540, 942, 543, 12556, 519, 2262, 12225, 1834, 5267, 513, 3561, 540, 942, 267, 676, 4214, 2250, 13029, 267, 543, 4061, 6378, 269, 589, 8956, 519, 30254, 585, 519, 12638, 540, 521, 21468, 6210, 13439, 541, 6013, 32373, 539, 2394, 28870, 998, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 1247, 3025, 6487, 602, 13439, 541, 563, 9359, 4974, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 2110, 2626, 2055, 1451, 6863, 8956, 543, 5132, 789, 1745, 9039, 540, 873, 1223, 979, 593, 2713, 1510, 606, 3169, 1702, 540, 519, 1747, 543, 519, 5692, 8655, 547, 873, 676, 12556, 269, 20048, 1834, 540, 513, 2669, 2062, 339, 1245, 281, 1283, 4557, 10530, 267, 1863, 1353, 10274, 543, 1433, 4967, 1519, 3102, 3184, 2079, 267, 2347, 5758, 2079, 543, 7895, 549, 543, 533, 32631, 616, 2604, 323, 547, 3479, 12638, 538, 8878, 540, 741, 1920, 8956, 269, 5192, 3388, 596, 991, 547, 917, 827, 12556, 5288, 1863, 786, 538, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 2079, 267, 1644, 10530, 267, 6249, 9477, 269, 634, 1909, 540, 22686, 8956, 543, 12556, 538, 575, 629, 21119, 575, 2117, 807, 2261, 4302, 345, 781, 519, 12225, 1834, 540, 513, 2669, 2062, 339, 1245, 593, 519, 1554, 789, 941, 2469, 547, 6146, 1864, 267, 521, 21468, 6210, 13439, 541, 3893, 909, 693, 2947, 6253, 8812, 538, 519, 6640, 269, 0, 25721, 721, 1686, 1353, 10274, 2919, 676, 936, 2486, 543, 2229, 538, 7810, 5087, 13314, 543, 519, 8087, 2829, 536, 2250, 689, 3309, 2959, 269, 634, 3068, 540, 13314, 568, 4657, 538, 476, 2412, 1296, 267, 519, 8087, 2829, 786, 1831, 513, 12102, 2173, 1994, 640, 4182, 1107, 513, 7415, 24182, 585, 513, 2197, 602, 2907, 19646, 835, 540, 519, 1034, 3909, 569, 267, 17801, 1227, 543, 7292, 569, 3309, 7239, 538, 519, 1158, 269, 1215, 7292, 569, 3309, 3506, 543, 13460, 543, 18375, 281, 606, 2079, 540, 3466, 538, 519, 8087, 2829, 2223, 15257, 968, 15330, 3821, 779, 7292, 569, 3309, 269, 634, 1034, 3309, 2829, 538, 13314, 1869, 1360, 1454, 513, 4641, 543, 519, 21748, 8744, 513, 538, 1142, 540, 519, 1614, 3800, 540, 4763, 538, 938, 2079, 269, 6820, 3909, 4763, 3368, 540, 519, 1034, 3909, 569, 3309, 2477, 616, 538, 607, 807, 1790, 6680, 3148, 519, 8087, 2829, 269, 6270, 607, 519, 8087, 2829, 543, 538, 606, 17801, 1227, 3309, 2749, 835, 1360, 1134, 28004, 4324, 568, 1034, 15520, 3309, 4025, 538, 13314, 269, 634, 5051, 3309, 8087, 2829, 540, 13314, 865, 2899, 513, 1747, 568, 1360, 3309, 267, 519, 7264, 538, 513, 3818, 30710, 4683, 2486, 666, 1589, 602, 789, 563, 763, 4182, 779, 2551, 568, 3395, 811, 7292, 569, 543, 17801, 1227, 3309, 855, 513, 1007, 2079, 540, 1239, 689, 519, 476, 1001, 275, 3909, 616, 711, 1360, 3309, 269, 3162, 13314, 3844, 1004, 538, 32204, 7819, 17521, 941, 849, 5423, 547, 9784, 7292, 569, 3309, 5767, 543, 8840, 2984, 689, 519, 8087, 2829, 269, 5564, 4275, 1017, 538, 13314, 10583, 267, 3309, 543, 607, 13314, 3587, 811, 7292, 569, 3309, 543, 1514, 2687, 547, 890, 342, 1382, 4099, 2079, 540, 519, 476, 1001, 274, 269, 31898, 5566, 2079, 540, 31994, 32053, 4622, 7005, 3332, 1557, 519, 8087, 2829, 540, 13314, 568, 519, 1034, 7292, 569, 519, 1775, 723, 513, 5326, 4633, 814, 1360, 563, 2467, 568, 8101, 8390, 538, 3909, 3961, 1063, 519, 2185, 4525, 540, 519, 8087, 2829, 3909, 569, 3309, 2829, 7292, 569, 543, 17801, 1227, 3309, 269, 21069, 1436, 568, 12270, 7819, 2486, 855, 519, 2164, 616, 3810, 5812, 609, 519, 3395, 13664, 26445, 540, 13314, 2079, 543, 269, 634, 2547, 3309, 3909, 1895, 538, 519, 8087, 2829, 267, 2687, 547, 519, 1867, 267, 568, 519, 3084, 19071, 626, 15007, 267, 513, 12926, 3109, 21000, 1588, 602, 4607, 513, 6060, 540, 476, 6349, 575, 776, 737, 571, 2224, 267, 8689, 540, 519, 5604, 540, 4417, 626, 5692, 585, 519, 4417, 626, 1158, 5939, 267, 1767, 519, 5939, 779, 1360, 5692, 540, 8600, 782, 1004, 585, 795, 4615, 685, 2034, 563, 3849, 1203, 1235, 3957, 1412, 2865, 7292, 569, 3309, 3909, 1895, 616, 519, 1034, 7292, 569, 543, 17801, 1227, 3309, 3909, 1895, 538, 519, 8087, 2829, 519, 2079, 267, 1759, 269, 3245, 519, 8087, 2829, 998, 3844, 13314, 1524, 547, 2909, 7588, 267, 519, 1007, 1158, 2477, 267, 6148, 538, 851, 1317, 540, 741, 12583, 540, 5266, 1930, 11776, 630, 663, 267, 538, 930, 2665, 267, 954, 2719, 1782, 1063, 25165, 543, 1007, 2855, 11040, 264, 4043, 547, 581, 7168, 3309, 519, 9868, 568, 5045, 13314, 781, 7013, 13409, 267, 1141, 2415, 550, 1149, 543, 669, 850, 753, 269, 3778, 540, 519, 8087, 2829, 540, 13314, 519, 8087, 2829, 540, 13314, 875, 1705, 4763, 538, 13314, 2097, 827, 13314, 781, 1044, 3309, 585, 513, 1279, 563, 306, 665, 476, 28143, 3018, 476, 272, 6227, 3184, 476, 272, 268, 275, 2640, 3025, 676, 8600, 513, 3309, 5718, 1362, 2487, 1239, 5267, 602, 519, 8087, 2829, 1522, 581, 269, 595, 274, 281, 1895, 20494, 9330, 519, 1895, 543, 616, 5497, 1152, 607, 606, 7127, 1448, 585, 2417, 4612, 633, 2079, 676, 519, 3593, 8087, 2829, 540, 13314, 1496, 16942, 6870, 563, 5472, 1383, 612, 904, 1260, 2818, 1491, 5413, 540, 519, 1739, 2640, 281, 1569, 547, 936, 476, 1911, 267, 1822, 2347, 3594, 543, 2165, 4574, 4628, 3710, 12190, 13132, 543, 1568, 11855, 563, 763, 8087, 2829, 540, 13314, 1631, 568, 519, 5963, 31417, 2450, 540, 519, 8087, 2829, 543, 1200, 3309, 13359, 543, 1082, 7013, 2829, 941, 7292, 569, 269, 769, 519, 8087, 2829, 3909, 4763, 949, 581, 1818, 13314, 1447, 3909, 569, 3309, 2829, 1522, 4482, 811, 16712, 7264, 1317, 789, 269, 918, 718, 523, 19424, 539, 513, 8087, 2829, 538, 519, 3239, 540, 513, 1390, 8059, 12264, 267, 543, 3909, 569, 3309, 2197, 538, 7005, 1152, 4031, 7941, 543, 269, 15348, 1299, 2486, 1686, 1686, 540, 519, 8087, 2829, 7810, 13314, 1018, 729, 519, 1034, 3909, 569, 543, 17801, 1227, 3309, 1018, 729, 519, 1034, 3909, 569, 269, 634, 1533, 540, 4763, 538, 2221, 779, 13781, 607, 519, 8087, 2829, 3587, 513, 811, 7292, 569, 543, 3587, 811, 3309, 938, 4346, 543, 938, 2486, 269, 3848, 476, 1691, 7292, 8635, 3803, 8908, 267, 27362, 476, 1220, 280, 5198, 543, 7292, 8635, 723, 1379, 2685, 8032, 7819, 1686, 689, 922, 20297, 22988, 899, 547, 1589, 540, 519, 15713, 540, 519, 7819, 10125, 543, 267, 2663, 267, 519, 8087, 2829, 267, 607, 269, 1772, 13314, 519, 1034, 18371, 270, 996, 333, 1227, 3309, 2197, 538, 568, 13314, 630, 1492, 8087, 2829, 264, 630, 1492, 8087, 2829, 264, 519, 1034, 17801, 1227, 270, 24055, 569, 3309, 269, 0, 763, 29260, 5126, 1557, 267, 4444, 2688, 519, 29260, 5126, 1557, 1957, 10464, 267, 519, 29260, 5126, 1557, 1957, 3732, 267, 519, 29260, 5126, 1557, 3732, 269, 5131, 29260, 5126, 4574, 267, 3594, 267, 543, 1382, 4574, 269, 4033, 982, 519, 6671, 7803, 5126, 1184, 972, 568, 513, 1007, 1259, 547, 6023, 6760, 1572, 519, 29260, 5126, 1982, 713, 1982, 6818, 1152, 538, 1978, 269, 3367, 713, 1557, 593, 29260, 5126, 799, 786, 581, 5941, 1369, 713, 1557, 998, 3168, 693, 1018, 29260, 5126, 543, 29260, 3292, 27167, 269, 10163, 20753, 5126, 538, 721, 3506, 281, 513, 1382, 2689, 1726, 341, 528, 18651, 3780, 554, 20087, 1086, 5459, 521, 23022, 575, 3089, 29118, 562, 3599, 9292, 2917, 16320, 3415, 4620, 4592, 3626, 27095, 5324, 476, 1001, 277, 269, 23889, 11648, 6604, 543, 29260, 2853, 538, 3506, 476, 274, 519, 1514, 2916, 540, 513, 1153, 6927, 3506, 1141, 1453, 1745, 2922, 267, 598, 563, 9928, 2651, 547, 1283, 666, 29260, 5126, 1832, 3506, 2922, 875, 835, 2462, 2275, 640, 8664, 2759, 7080, 5014, 543, 1163, 6160, 687, 11652, 1946, 789, 949, 4473, 1586, 269, 10163, 20753, 5126, 543, 6760, 6604, 6309, 11659, 1557, 1820, 29260, 5126, 568, 519, 3044, 540, 8380, 29260, 5126, 3292, 269, 7861, 574, 11325, 2658, 1920, 1895, 19014, 568, 835, 1505, 270, 15263, 1031, 1369, 29260, 5126, 267, 1141, 19014, 616, 22555, 676, 519, 29260, 5126, 269, 10749, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 29260, 5126, 563, 1607, 3732, 29260, 5126, 1382, 1957, 568, 543, 519, 2950, 789, 4196, 875, 29260, 5126, 3292, 948, 873, 4194, 1557, 1603, 3028, 269, 901, 1863, 6309, 11659, 1557, 593, 1557, 281, 29260, 5126, 568, 3501, 585, 6309, 11659, 1053, 547, 946, 607, 606, 1383, 563, 1607, 1557, 1383, 786, 2322, 596, 883, 519, 4605, 593, 1018, 4145, 29260, 5126, 267, 596, 3513, 1451, 1018, 713, 4082, 1797, 543, 782, 519, 15116, 885, 269, 901, 1957, 12116, 519, 4560, 543, 3178, 540, 4540, 12170, 1382, 593, 29260, 5126, 3292, 543, 2853, 543, 14439, 10616, 538, 519, 3332, 609, 519, 269, 0, 290, 629, 12237, 910, 519, 1034, 1455, 7031, 540, 782, 8677, 540, 22648, 563, 290, 629, 12237, 568, 6738, 18374, 782, 936, 519, 1158, 267, 2523, 519, 1390, 2463, 1352, 4607, 538, 2477, 609, 22465, 16374, 269, 769, 938, 2197, 267, 519, 22648, 568, 6738, 538, 1169, 13452, 267, 1141, 972, 568, 513, 10448, 4677, 267, 543, 568, 2141, 1459, 538, 1169, 2777, 1141, 972, 568, 513, 21067, 269, 9453 ]

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

[ 603, 23101, 9709, 547, 1930, 513, 6752, 536, 719, 1664, 538, 12924, 290, 2560, 855, 1287, 1352, 4682, 547, 3345, 13523, 779, 918, 749, 17344, 3427, 540, 5004, 543, 9250, 513, 476, 1789, 4458, 4876, 593, 9931, 9335, 3079, 269, 769, 519, 2063, 8370, 1296, 540, 1200, 4876, 693, 7108, 2006, 590, 778, 338, 267, 1352, 729, 2212, 540, 5274, 13317, 5004, 543, 5129, 513, 2462, 1909, 538, 6963, 532, 741, 17849, 2853, 547, 2087, 741, 4763, 269, 15020, 1934, 585, 621, 563, 306, 15120, 22828, 1744, 1678, 3459, 1200, 4876, 607, 606, 11653, 267, 855, 1287, 1352, 3893, 1200, 32233, 693, 1733, 691, 517, 267, 1141, 1352, 8593, 538, 2648, 609, 8804, 269, 4653, 267, 1352, 779, 16628, 543, 7022, 540, 27119, 6975, 13879, 1744, 1678, 1299, 3213, 267, 835, 540, 519, 7887, 4563, 24804, 2883, 3549, 538, 519, 2475, 543, 519, 1655, 8573, 1678, 539, 2021, 24804, 543, 12102, 24804, 9931, 9335, 6109, 269, 2701, 729, 849, 3957, 2817, 24573, 584, 540, 519, 5729, 676, 519, 8496, 877, 595, 12282, 269, 21701, 4741, 269, 2701, 3081, 267, 968, 763, 1034, 1271, 3364, 649, 1496, 342, 1580, 538, 8804, 316, 666, 798, 1318, 1631, 568, 2285, 513, 1688, 909, 543, 1683, 30023, 585, 824, 2021, 1848, 2549, 523, 563, 305, 659, 638, 601, 744, 6577, 779, 3460, 1524, 9931, 9335, 814, 3144, 1200, 547, 21546, 26304, 267, 772, 7034, 267, 8585, 18115, 22118, 577, 267, 543, 1631, 31179, 21546, 269, 2755, 1352, 729, 693, 8585, 18115, 267, 1352, 6039, 607, 2212, 540, 25129, 4640, 543, 1646, 267, 1141, 1352, 729, 3743, 585, 17849, 543, 2866, 519, 6109, 779, 476, 1691, 267, 1822, 2883, 31548, 269, 2701, 2968, 1634, 585, 1200, 1445, 593, 4763, 538, 519, 13007, 18180, 267, 1818, 621, 513, 4341, 602, 3368, 540, 741, 19670, 22631, 1185, 547, 581, 2021, 543, 1315, 610, 1004, 540, 2681, 543, 24574, 1359, 5702, 609, 670, 6195, 5825, 269, 769, 476, 1001, 277, 267, 1352, 5143, 634, 8416, 4750, 267, 968, 296, 16926, 811, 982, 476, 272, 267, 10384, 31548, 513, 1032, 543, 594, 4076, 1500, 621, 513, 7029, 547, 2322, 4763, 693, 519, 21282, 540, 1250, 2816, 1848, 8786, 563, 1320, 553, 1495, 320, 9466, 667, 3089, 9116, 454, 2108, 2691, 596, 917, 1018, 621, 779, 899, 547, 1413, 538, 519, 21067, 543, 1175, 1294, 11256, 14614, 267, 610, 917, 1018, 621, 779, 899, 547, 723, 707, 8279, 5828, 1055, 267, 2123, 8804, 568, 1271, 2223, 774, 553, 1495, 320, 9466, 667, 3089, 9116, 630, 528, 968, 307, 5608, 607, 1352, 779, 1732, 1634, 264, 5143, 519, 1715, 3840, 8648, 269, 4173, 1920, 5185, 513, 2603, 540, 2883, 27465, 950, 1352, 729, 7820, 267, 543, 865, 950, 1200, 4876, 4547, 1200, 547, 519, 20251, 1870, 267, 1352, 29860, 693, 519, 4316, 547, 948, 1004, 269, 2776, 16227, 16628, 540, 932, 848, 19901, 30914, 267, 1352, 4867, 5713, 607, 16628, 543, 7022, 540, 30263, 8150, 267, 1141, 1352, 779, 4797, 547, 1246, 1200, 6612, 585, 10825, 2883, 7924, 269, 968, 10303, 519, 4641, 568, 267, 585, 1082, 1004, 267, 519, 3668, 540, 2724, 11225, 945, 596, 616, 3034, 2691, 1352, 729, 476, 2420, 1296, 2025, 267, 19846, 333, 3244, 332, 976, 2968, 519, 21836, 911, 1457, 693, 519, 1715, 3840, 14351, 16510, 2443, 543, 519, 1152, 4807, 269, 2701, 729, 849, 519, 2034, 4563, 4807, 911, 1457, 2479, 269, 2701, 3893, 519, 2816, 1310, 4271, 908, 609, 513, 4110, 538, 11976, 543, 513, 5634, 538, 7194, 267, 3001, 547, 12924, 290, 267, 5870, 9400, 25347, 4565, 3430, 630, 4753, 302, 540, 25347, 4565, 3430, 1530, 15247, 1070, 543, 10416, 1175, 20310, 1864, 547, 1577, 1200, 723, 519, 2816, 269, 2334, 1767, 267, 1352, 849, 2451, 9931, 9335, 513, 1906, 1296, 2663, 1310, 13031, 602, 1352, 1152, 1500, 1269, 1321, 267, 1822, 630, 2254, 513, 1462, 334, 14386, 513, 1032, 693, 25347, 4565, 3430, 269, 4653, 1352, 779, 3144, 1200, 2883, 5260, 11803, 1857, 630, 2254, 547, 2446, 20335, 1200, 9126, 267, 6368, 264, 609, 27143, 267, 1357, 3126, 267, 543, 6340, 4497, 906, 269, 1703, 779, 1256, 513, 1979, 8084, 827, 1200, 538, 1646, 269, 1411, 1205, 1346, 1272, 8573, 2074, 9489, 267, 19846, 333, 563, 30399, 4563, 12621, 543, 9945, 563, 15100, 476, 1708, 271, 4432, 548, 4034, 267, 5549, 269, 2353, 7126, 27616, 563, 2791, 949, 610, 949, 711, 723, 8068, 602, 649, 5532, 547, 1280, 15816, 2593, 585, 1344, 827, 631, 749, 1328, 20122, 5459, 267, 30554, 22828, 1744, 1678, 267, 543, 19846, 333, 3244, 332, 976, 269, 674, 312, 296, 267, 1280, 15816, 12462, 306, 4301, 3218, 14615, 5713, 607, 513, 1151, 545, 3218, 585, 4432, 548, 4034, 267, 5549, 269, 12462, 14976, 548, 4034, 26158, 3752, 545, 3218, 786, 4309, 13180, 585, 13288, 596, 547, 4432, 548, 4034, 269, 3281, 18730, 547, 519, 3752, 545, 3218, 786, 581, 1269, 736, 829, 15376, 15181, 269, 1411, 786, 711, 581, 9901, 1022, 13927, 610, 1651, 584, 1022, 3606, 3790, 585, 1373, 5219, 547, 4432, 548, 4034, 676, 519, 3752, 545, 3218, 269, 634, 3752, 545, 3218, 949, 3895, 543, 5924, 949, 14441, 4432, 548, 4034, 779, 5092, 9666, 518, 2533, 269, 4432, 548, 4034, 543, 519, 3752, 545, 3218, 616, 711, 896, 1455, 9562, 610, 6382, 1644, 9988, 563, 5472, 8369, 543, 5784, 6829, 676, 4432, 548, 4034, 616, 1699, 607, 540, 519, 4266, 540, 713, 1603, 267, 585, 21141, 5301, 1152, 267, 543, 798, 711, 13822, 610, 17538, 606, 23596, 618, 540, 1022, 3791, 5428, 779, 2472, 610, 2533, 563, 763, 1344, 3177, 1058, 711, 581, 16941, 2390, 607, 5092, 5796, 610, 7840, 267, 1281, 711, 13822, 513, 1151, 545, 2787, 547, 4444, 610, 6133, 19736, 543, 1058, 711, 581, 2808, 1808, 3656, 267, 5092, 610, 3454, 5796, 563, 763, 1344, 3177, 1281, 711, 1491, 883, 2272, 519, 1808, 6859, 267, 2883, 3510, 610, 1880, 2115, 540, 1022, 1808, 1268, 563, 20059, 532, 14122, 1981, 1519, 519, 2009, 2530, 540, 9030, 543, 972, 568, 1100, 22059, 602, 519, 5092, 786, 1683, 2318, 2773, 936, 1022, 1974, 540, 942, 269, 0, 294, 310, 290, 11833, 5171, 454, 294, 597, 3149, 5808, 8943, 814, 9250, 922, 476, 1001, 278, 268, 1001, 279, 1310, 1153, 11833, 338, 1982, 538, 782, 476, 2004, 2829, 267, 7674, 9937, 540, 5215, 540, 6690, 609, 519, 1489, 540, 936, 476, 736, 4891, 269, 1635, 519, 1439, 540, 519, 4081, 1032, 267, 21989, 5808, 8943, 786, 723, 6603, 936, 476, 2004, 267, 1822, 6690, 609, 922, 3292, 267, 2870, 513, 18180, 540, 2021, 538, 2029, 602, 786, 1118, 606, 1764, 538, 519, 2361, 1312, 538, 28541, 9503, 543, 3564, 269, 769, 1249, 267, 476, 11011, 260, 540, 1930, 3301, 543, 7384, 6009, 616, 3544, 540, 28541, 9503, 282, 972, 616, 476, 1428, 267, 1822, 4867, 1930, 6009, 538, 12309, 267, 476, 4097, 267, 1822, 538, 9098, 267, 476, 1428, 267, 1822, 538, 11882, 267, 543, 476, 736, 267, 1822, 538, 11908, 563, 294, 597, 3149, 5808, 8943, 11833, 338, 616, 1863, 1310, 17469, 3292, 585, 476, 277, 268, 1321, 628, 3446, 6690, 547, 946, 2780, 2257, 547, 1764, 741, 2146, 543, 6443, 513, 11078, 3125, 540, 11215, 9905, 543, 1909, 3631, 269, 11833, 338, 616, 3366, 676, 11120, 4106, 2209, 267, 945, 666, 581, 3610, 267, 2780, 3744, 267, 7172, 12579, 267, 3237, 267, 610, 13538, 689, 1022, 4282, 610, 2361, 269, 2060, 1489, 689, 938, 4891, 267, 21989, 5808, 8943, 814, 9450, 922, 6437, 17008, 543, 9250, 513, 11120, 4106, 1807, 2866, 543, 1489, 1982, 865, 602, 4896, 666, 7520, 513, 11833, 267, 7488, 540, 2436, 789, 723, 2780, 2257, 1995, 269, 634, 6437, 568, 1788, 2861, 543, 2966, 585, 1053, 547, 946, 741, 8193, 1983, 547, 2232, 1483, 3734, 2042, 538, 741, 2146, 269, 1677, 2087, 519, 6437, 1995, 267, 21989, 5808, 8943, 9250, 670, 304, 267, 938, 6216, 20642, 2688, 6437, 3760, 585, 519, 11833, 338, 1982, 269, 769, 519, 1101, 1614, 4374, 267, 11120, 4106, 2209, 543, 11833, 2818, 9763, 811, 982, 476, 1789, 267, 1822, 2238, 1299, 2200, 593, 519, 3760, 563, 1103, 519, 476, 1001, 278, 268, 1001, 279, 4081, 1032, 267, 476, 1789, 267, 1822, 6690, 543, 476, 274, 267, 1822, 15321, 11120, 4106, 2209, 786, 7119, 538, 519, 11833, 338, 1982, 538, 782, 476, 2004, 2829, 543, 6115, 267, 667, 5861, 1421, 607, 1134, 607, 519, 2475, 11182, 540, 2871, 600, 267, 17896, 22656, 267, 519, 2475, 7910, 11866, 267, 543, 3345, 25795, 3570, 11866, 269, 1323, 4830, 6268, 540, 519, 476, 1001, 277, 11833, 338, 1982, 1336, 602, 7589, 729, 2404, 609, 9283, 538, 6690, 262, 22838, 543, 6043, 267, 476, 2641, 560, 2540, 1983, 630, 10175, 2792, 267, 5698, 267, 543, 4058, 1070, 543, 2780, 2257, 1702, 543, 4656, 563, 18658, 649, 2461, 3257, 568, 2324, 281, 1034, 540, 938, 6690, 979, 593, 547, 2101, 538, 2780, 2257, 538, 2852, 269, 1879, 596, 4001, 6690, 547, 3009, 610, 1205, 873, 3238, 538, 13241, 267, 789, 1831, 1689, 8069, 543, 666, 1628, 8924, 267, 3292, 543, 5322, 547, 948, 10994, 938, 2197, 781, 27162, 4554, 2042, 2223, 16628, 1299, 674, 10133, 540, 21989, 5808, 8943, 1763, 8676, 28397, 329, 8643, 1767, 269, 968, 2171, 2461, 2679, 513, 3350, 540, 2021, 538, 13241, 267, 23248, 2614, 2021, 547, 2731, 6360, 519, 19235, 3034, 295, 792, 689, 938, 6690, 2933, 912, 268, 834, 31535, 602, 594, 666, 3009, 568, 15813, 256, 594, 4682, 883, 519, 1995, 609, 930, 1004, 1167, 15758, 803, 267, 6031, 602, 8193, 729, 2731, 2182, 543, 594, 1175, 1522, 711, 1205, 621, 269, 1809, 1934, 594, 993, 267, 543, 594, 1745, 899, 594, 6557, 3257, 7168, 1134, 269, 594, 723, 519, 2200, 1631, 547, 979, 856, 543, 1711, 513, 3896, 610, 513, 1357, 3014, 267, 7132, 594, 666, 6368, 1174, 865, 1082, 1919, 602, 1031, 547, 25657, 803, 1701, 910, 28047, 290, 11833, 12160, 656, 454, 268, 834, 294, 597, 3149, 5808, 8943, 814, 3254, 803, 865, 1082, 11678, 602, 594, 1705, 711, 1256, 917, 11478, 1354, 519, 1982, 256, 594, 1810, 1406, 1491, 2029, 585, 11292, 15042, 543, 594, 4076, 7691, 602, 11483, 814, 1500, 519, 7036, 7891, 538, 1250, 1272, 2009, 269, 594, 723, 1831, 1360, 5461, 538, 519, 2029, 540, 1346, 7036, 7891, 267, 543, 594, 3100, 547, 1100, 3476, 581, 2111, 547, 3643, 513, 3896, 1510, 17444, 909, 24904, 779, 3763, 518, 13088, 10590, 910, 28047, 290, 11833, 12160, 656, 454, 268, 834, 296, 1745, 899, 21989, 5808, 8943, 2731, 5280, 803, 547, 1332, 538, 2780, 2257, 269, 634, 2146, 540, 6690, 1459, 538, 519, 11833, 27838, 606, 5790, 540, 5698, 543, 1565, 269, 594, 6068, 875, 649, 941, 782, 2111, 547, 960, 1927, 547, 2417, 938, 1702, 540, 543, 1719, 538, 2780, 5752, 10590, 910, 28047, 290, 11833, 12160, 656, 454, 289, 2590, 513, 28047, 290, 11833, 547, 707, 8378, 2336, 294, 310, 290, 11833, 5171, 0, 288, 1353, 267, 3370, 538, 519, 4760, 15850, 814, 1336, 602, 4568, 6800, 1185, 476, 2420, 829, 1298, 2362, 1981, 540, 2669, 538, 6476, 547, 1346, 6967, 1863, 540, 621, 563, 4913, 267, 519, 1353, 849, 4951, 602, 1769, 547, 9793, 6704, 949, 723, 930, 8825, 1909, 563, 17829, 945, 10057, 811, 982, 476, 1911, 1984, 4106, 637, 910, 1614, 890, 7714, 910, 540, 4568, 513, 1554, 1185, 513, 2539, 6668, 2557, 267, 519, 1353, 1767, 269, 21452, 267, 519, 9019, 1981, 1851, 1346, 945, 10057, 1447, 982, 476, 1911, 6447, 513, 1554, 729, 2539, 982, 602, 1851, 519, 751, 564, 582, 718, 619, 563, 763, 1353, 729, 5645, 856, 676, 1261, 23653, 1530, 16223, 338, 7559, 4659, 585, 5398, 2657, 543, 2160, 540, 4826, 31846, 267, 4516, 267, 538, 29180, 1851, 476, 3374, 267, 9083, 2367, 9907, 476, 3393, 1296, 610, 811, 269, 634, 2665, 941, 4553, 909, 1310, 2947, 7146, 8584, 28451, 1296, 563, 7197, 4568, 4235, 619, 538, 519, 2539, 543, 1647, 1362, 538, 3127, 1246, 513, 4806, 540, 5230, 6704, 609, 519, 5354, 6704, 693, 2547, 2185, 2053, 513, 3018, 267, 543, 6704, 538, 9424, 811, 982, 476, 1911, 16720, 829, 1554, 267, 2871, 24473, 1767, 269, 901, 568, 513, 1713, 2707, 540, 5739, 543, 5732, 14603, 4539, 563, 257, 25802, 1507, 2179, 540, 4568, 949, 2285, 930, 4324, 267, 855, 621, 1281, 711, 1611, 596, 1058, 4235, 547, 1205, 713, 4324, 269, 1411, 666, 1205, 1454, 811, 4324, 676, 1739, 513, 2635, 6197, 540, 1100 ]

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

[ 2097, 269, 1284, 666, 782, 4019, 891, 4245, 547, 938, 1378, 2729, 267, 2436, 538, 5026, 267, 19174, 267, 610, 1022, 824, 20089, 649, 3442, 547, 11654, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 5415, 982, 835, 4627, 1296, 3516, 267, 538, 513, 1507, 14929, 328, 8498, 538, 14151, 267, 513, 1762, 812, 3957, 11066, 570, 1168, 534, 9874, 6068, 547, 2196, 269, 1879, 519, 2136, 2276, 2229, 3576, 1864, 689, 1010, 1753, 543, 7142, 1864, 547, 3082, 547, 3864, 2081, 267, 646, 6854, 1010, 4276, 547, 1010, 14316, 2178, 676, 4881, 269, 570, 1168, 534, 9874, 2841, 539, 538, 1082, 14797, 267, 1519, 519, 21396, 538, 476, 5002, 279, 538, 5507, 267, 4789, 267, 543, 1586, 538, 476, 4489, 273, 538, 14351, 27048, 267, 13785, 267, 7258, 19416, 4095, 19002, 13343, 18897, 701, 269, 570, 1168, 534, 9874, 1305, 5638, 543, 1558, 513, 4622, 543, 513, 7022, 267, 543, 811, 982, 835, 2929, 1004, 3357, 547, 513, 31959, 538, 1010, 8956, 269, 1809, 519, 4583, 19002, 7012, 1406, 5963, 6126, 607, 1279, 607, 646, 729, 2476, 689, 1010, 14316, 563, 310, 1301, 12383, 8308, 3142, 547, 1272, 519, 5898, 540, 570, 1168, 534, 9874, 779, 22657, 269, 13068, 543, 8903, 1603, 13865, 3278, 519, 1272, 540, 713, 9058, 812, 585, 1762, 3988, 269, 6184, 25378, 543, 29014, 267, 713, 12092, 2982, 875, 835, 812, 18423, 3020, 547, 1010, 1753, 1256, 1247, 2484, 2476, 563, 10666, 519, 8191, 454, 4537, 16336, 918, 269, 21125, 568, 513, 19622, 10026, 268, 15105, 11285, 609, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 11846, 1299, 28046, 1315, 4258, 518, 18490, 1315, 28304, 20070, 3753, 610, 26861, 8163, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 1103, 713, 1770, 267, 649, 786, 1451, 827, 513, 4241, 1523, 538, 3684, 1565, 1572, 31096, 7020, 269, 1323, 28109, 7020, 568, 519, 1184, 540, 7114, 8966, 1239, 2798, 610, 3270, 538, 513, 10471, 602, 798, 711, 14883, 547, 519, 4397, 2623, 269, 1452, 8966, 1239, 2798, 616, 1419, 5219, 547, 607, 856, 11502, 610, 22114, 780, 3080, 2442, 5690, 585, 31096, 7020, 568, 519, 10871, 4934, 17067, 16748, 630, 26183, 293, 264, 5690, 269, 634, 29486, 293, 5690, 568, 513, 5860, 2861, 5690, 602, 21410, 519, 2199, 5860, 540, 513, 1239, 1448, 543, 19776, 621, 547, 519, 2199, 24186, 540, 922, 12543, 269, 4578, 2798, 609, 513, 3648, 2539, 5860, 982, 741, 12543, 616, 2808, 22114, 780, 6524, 649, 4685, 883, 519, 3877, 540, 519, 29486, 293, 5690, 267, 1577, 781, 1101, 1174, 1018, 513, 10471, 568, 269, 589, 10471, 568, 513, 4015, 540, 1239, 2798, 267, 1141, 1142, 1239, 1448, 568, 6719, 676, 513, 1305, 540, 2934, 269, 1280, 1383, 267, 513, 10471, 540, 2875, 9344, 1522, 1331, 2934, 971, 607, 519, 2875, 781, 2012, 267, 2085, 267, 543, 1449, 8464, 780, 1103, 5124, 267, 649, 666, 2099, 513, 10471, 607, 513, 1079, 8820, 17877, 5044, 267, 1141, 1142, 4737, 4564, 513, 1239, 1448, 543, 1142, 6241, 4564, 513, 4183, 269, 1280, 1383, 267, 519, 1739, 3009, 6256, 5932, 513, 10471, 609, 1614, 2934, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 692, 258, 1711, 513, 10471, 609, 1614, 2934, 454, 311, 815, 5286, 15126, 31912, 272, 267, 476, 273, 267, 476, 274, 16689, 23526, 1496, 275, 267, 476, 276, 267, 476, 277, 16689, 23526, 1496, 278, 267, 476, 279, 267, 476, 280, 316, 7481, 7884, 1103, 519, 1657, 3009, 6256, 267, 2387, 311, 319, 568, 513, 1079, 8820, 17877, 5044, 609, 1614, 9343, 543, 1614, 9587, 269, 3962, 4737, 4564, 513, 1239, 1448, 267, 543, 1142, 6241, 4564, 513, 4183, 780, 3086, 602, 649, 723, 513, 10471, 267, 649, 666, 946, 519, 29486, 293, 5690, 547, 2697, 22114, 269, 634, 29486, 293, 5690, 3340, 1079, 11378, 281, 519, 10471, 2387, 311, 319, 543, 513, 9936, 2387, 330, 319, 602, 23403, 519, 1297, 540, 14282, 12543, 547, 2015, 950, 12719, 519, 2199, 5860, 540, 513, 1239, 1448, 780, 763, 1101, 1900, 538, 519, 29486, 293, 5690, 568, 547, 5173, 519, 2199, 5860, 540, 1142, 1239, 1448, 269, 634, 2199, 5860, 540, 513, 1239, 1448, 568, 3989, 607, 519, 3328, 3845, 547, 922, 2387, 330, 319, 14282, 12543, 269, 634, 1739, 3009, 6256, 21410, 519, 2199, 5860, 540, 1142, 1239, 1448, 538, 519, 10471, 2387, 311, 319, 1384, 3499, 7090, 454, 5228, 28189, 269, 31371, 26092, 1104, 3026, 11732, 10468, 662, 26092, 692, 258, 1711, 513, 3026, 11732, 10468, 662, 26092, 1843, 454, 333, 1962, 338, 815, 3026, 11732, 10468, 662, 26092, 3799, 318, 31371, 26092, 284, 330, 1040, 7257, 11583, 2020, 258, 5173, 519, 9883, 547, 519, 737, 14282, 12543, 454, 23251, 1734, 267, 9041, 815, 562, 1962, 338, 21993, 31371, 26092, 11583, 2020, 258, 5173, 519, 2199, 5860, 540, 1142, 1239, 1448, 454, 29985, 5091, 3748, 815, 5286, 32557, 5560, 626, 1734, 18020, 476, 272, 281, 3910, 7852, 284, 272, 994, 7884, 1103, 519, 1657, 3009, 6256, 267, 649, 1101, 1711, 513, 2387, 10468, 11732, 10468, 662, 26092, 319, 1843, 543, 3514, 621, 547, 519, 10471, 2387, 311, 18269, 1284, 1287, 946, 519, 2387, 330, 31371, 26092, 319, 1505, 547, 5173, 519, 9883, 547, 519, 2387, 330, 319, 14282, 12543, 585, 1142, 1239, 1448, 269, 7053, 267, 649, 5173, 519, 2199, 5860, 540, 1142, 1239, 1448, 676, 2921, 519, 3328, 540, 519, 9883, 547, 922, 2387, 330, 319, 14282, 12543, 780, 763, 1985, 1900, 538, 519, 29486, 293, 5690, 568, 547, 5173, 519, 2199, 3914, 1464, 5860, 540, 1142, 1239, 1448, 269, 634, 2199, 3914, 1464, 5860, 568, 3989, 607, 519, 5021, 540, 519, 2199, 5860, 540, 519, 1239, 1448, 543, 519, 2199, 24186, 540, 922, 2387, 330, 319, 14282, 12543, 269, 634, 1739, 3009, 6256, 21410, 519, 2199, 3914, 1464, 5860, 540, 1142, 1239, 1448, 538, 519, 10471, 2387, 311, 319, 1384, 3499, 7090, 454, 258, 5173, 519, 2199, 3914, 1464, 5860, 540, 1142, 1239, 1448, 454, 29985, 318, 18943, 1464, 5091, 3748, 815, 5286, 27982, 3065, 10857, 5914, 5091, 3748, 267, 5286, 6745, 820, 318, 531, 784, 318, 9471, 10857, 5914, 5091, 3748, 267, 562, 1962, 338, 21993, 31371, 26092, 11583, 267, 2132, 5091, 2700, 25716, 264, 18020, 476, 272, 281, 3910, 7852, 284, 272, 4917, 7884, 1103, 519, 1657, 3009, 6256, 267, 649, 946, 519, 2387, 339, 820, 318, 531, 784, 318, 9471, 319, 1599, 547, 1349, 519, 2199, 24186, 540, 519, 2387, 330, 319, 14282, 12543, 585, 1142, 1239, 1448, 269, 1284, 1287, 1491, 519, 5021, 540, 519, 2199, 5860, 540, 519, 1239, 1448, 543, 519, 2199, 24186, 540, 922, 2387, 330, 319, 14282, 12543, 547, 5173, 519, 2199, 3914, 1464, 5860, 780, 763, 3803, 1900, 538, 519, 29486, 293, 5690, 568, 547, 5173, 519, 29486, 293, 6060, 585, 1142, 1239, 1448, 269, 634, 29486, 293, 6060, 568, 3989, 607, 519, 5223, 540, 519, 2199, 3914, 1464, 5860, 540, 513, 1239, 1448, 547, 519, 3328, 2199, 3914, 1464, 5860, 540, 922, 2387, 330, 319, 14282, 12543, 269, 634, 1739, 3009, 6256, 21410, 519, 29486, 293, 6060, 585, 1142, 1239, 1448, 538, 519, 10471, 2387, 311, 319, 1384, 3499, 7090, 454, 258, 5173, 519, 3328, 2199, 3914, 1464, 5860, 540, 519, 737, 14282, 12543, 585, 1142, 1239, 1448, 454, 822, 326, 9078, 5914, 318, 18943, 1464, 5091, 3748, 815, 5286, 32557, 18828, 6745, 820, 318, 531, 784, 318, 9471, 10857, 5914, 318, 18943, 1464, 5091, 3748, 267, 562, 1962, 338, 21993, 31371, 26092, 11583, 267, 2132, 5091, 2700, 25716, 264, 18020, 476, 272, 281, 3910, 7852, 284, 272, 1070, 7852, 284, 272, 2020, 258, 5173, 519, 29486, 293, 6060, 585, 1142, 1239, 1448, 454, 331, 1993, 23962, 815, 2199, 318, 18943, 1464, 5091, 3748, 1315, 1285, 326, 9078, 5914, 318, 18943, 1464, 5091, 3748, 454, 7884, 1103, 519, 1657, 3009, 6256, 267, 649, 1101, 5173, 519, 3328, 2199, 3914, 1464, 5860, 540, 519, 2387, 330, 319, 14282, 12543, 585, 1142, 1239, 1448, 269, 1284, 1287, 5173, 519, 29486, 293, 6060, 585, 1142, 1239, 1448, 676, 12270, 922, 2199, 3914, 1464, 5860, 676, 519, 3328, 2199, 3914, 1464, 5860, 540, 922, 2387, 330, 319, 14282, 12543, 780, 763, 29486, 293, 6060, 666, 581, 1031, 547, 2697, 22114, 538, 519, 10471, 269, 4578, 2798, 609, 513, 3648, 2362, 29486, 293, 6060, 982, 519, 824, 1239, 2798, 616, 2808, 22114, 269, 634, 1739, 3009, 6256, 14439, 519, 22114, 538, 519, 10471, 2387, 311, 319, 1384, 3499, 7090, 454, 258, 2697, 519, 22114, 538, 519, 10471, 454, 628, 11611, 815, 5286, 31699, 10857, 1993, 23962, 25011, 842, 3799, 2608, 630, 272, 269, 271, 910, 12526, 4297, 2639, 344, 28177, 815, 5286, 269, 2158, 3799, 267, 546, 6943, 284, 15615, 994, 344, 28177, 314, 331, 1993, 23962, 3436, 12939, 316, 815, 910, 272, 454, 7884, 1103, 519, 1657, 3009, 6256, 267, 649, 1101, 4990, 519, 29486, 293, 8464, 538, 26799, 1931, 543, 2824, 519, 12939, 602, 24508, 519, 1283, 2387, 4186, 8727, 319, 6824, 540, 1239, 2798, 689, 519, 1964, 269, 1284, 1287, 1711, 513, 9352, 6003, 6152, 2387, 344, 28177, 319, 602, 3651, 338, 513, 6003, 540, 2387, 268, 272, 319, 547, 519, 22114, 543, 2387, 272, 319, 547, 519, 3339, 1239, 2798, 780, 1103, 5758, 267, 519, 10871, 4934, 17067, 16748, 630, 26183, 293, 264, 5690, 568, 513, 5860, 2861, 5690, 585, 31096, 7020, 602, 21410, 519, 2199, 5860, 543, 2199, 3914, 1464, 5860, 540, 1142, 1239, 1448, 538, 513, 10471, 269, 634, 29486, 293, 6060, 568, 1287, 7229, 607, 519, 5223, 540, 519, 2199, 3914, 1464, 5860, 547, 519, 3328, 2199, 3914, 1464, 5860, 540, 519, 2387, 330, 319, 14282, 12543, 269, 4578, 2798, 609, 513, 3648, 2362, 29486, 293, 6060, 982, 519, 824, 1239, 2798, 616, 2808, 22114, 780, 763, 1739, 3009, 6256, 2488, 513, 2347, 6388, 540, 519, 29486, 293, 5690, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5228, 28189, 269, 31371, 26092, 1104, 3026, 11732, 10468, 662, 26092, 692, 5035, 29486, 293, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 737, 284, 736, 267, 12526, 284, 271, 269, 272, 2187, 1038, 1582, 21993, 815, 737, 454, 1038, 1582, 269, 4186, 8727, 815, 12526, 692, 825, 1219, 3514, 4311, 267, 2473, 2187, 1038, 562, 267, 9041, 815, 2473, 17482, 454, 1038, 1582, 21993, 815, 1295, 3799, 267, 1582, 21993, 2020, 1038, 1948, 5173, 519, 2199, 5860, 540, 1142, 1239, 1448, 454, 1038, 562, 1962, 338, 815, 3026, 11732, 10468, 662, 26092, 3799, 318, 31371, 26092, 284, 1345, 21993, 1040, 7257, 11583, 994, 1038, 9883, 267, 9041, 815, 562, 1962, 338, 21993, 31371, 26092, 11583, 994, 1038, 2199, 5091, 3748, 815, 5286, 32557, 5560, 626, 1734, 18020, 476, 272, 281, 3910, 7852, 284, 272, 2020, 1038, 1948, 5173, 519, 2199, 3914, 1464, 5860, 540, 1142, 1239, 1448, 454, 1038, 2199, 318, 18943, 1464, 5091, 3748, 815, 5286, 27982, 3065, 10857, 5914, 5091, 3748, 267, 5286, 6745, 820, 318, 531, 784, 318, 9471, 10857, 5914, 5091, 3748, 267, 562, 1962, 338, 21993, 31371, 26092, 11583, 267, 2132, 5091, 2700, 25716, 264, 18020, 476, 272, 281, 3910, 7852, 284, 272, 11723, 1038, 1948, 5173, 519, 29486, 293, 6060, 585, 1142, 1239, 1448, 454, 1038, 1285, 326, 9078, 5914, 318, 18943, 1464, 5091, 3748, 815, 5286, 32557, 18828, 6745, 820, 318, 531, 784, 318, 9471, 10857, 5914, 318, 18943, 1464, 5091, 3748, 267, 562, 1962, 338, 21993, 31371, 26092, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 476, 1323, 28109, 6060, 585, 519, 1806, 538, 2473, 563, 1038, 2433, 4958, 5281, 586, 28177, 2433, 5286, 15126, 19572, 3337, 630, 333, 5334, 3263, 994, 2018, 16849, 910, 272, 585, 538, 11502, 543, 1341, 272, 585, 22114, 270, 719, 11502, 563, 1038, 29185, 1038, 2473, 267, 586, 815, 2638, 318, 311, 14729, 11583, 267, 7183, 994, 1038, 562, 267, 9041, 815, 2473, 17482, 692, 1038, 1948, 3589, 519, 31096, 8464, 454 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3719, 27526, 699, 516, 1128, 21114, 4507, 602, 267, 2687, 547, 3220, 269, 3627, 1744, 7776, 267, 8507, 538, 7920, 1426, 22520, 267, 513, 12900, 540, 6694, 543, 4853, 2504, 267, 14016, 908, 6283, 5989, 267, 2804, 6433, 543, 968, 2102, 1968, 11605, 540, 519, 2551, 892, 676, 519, 476, 2735, 271, 338, 269, 27526, 699, 516, 849, 17049, 15852, 2797, 6105, 547, 19597, 622, 1010, 6392, 543, 2061, 7521, 827, 1010, 25010, 748, 4507, 563, 8070, 13001, 301, 344, 699, 516, 267, 25157, 7307, 547, 3432, 909, 922, 2804, 2208, 2557, 676, 9427, 3902, 8060, 267, 12666, 2358, 4123, 267, 543, 1863, 532, 922, 1004, 547, 4497, 538, 4357, 13055, 563, 763, 6167, 779, 5316, 1081, 540, 3356, 547, 2229, 3292, 267, 543, 922, 1202, 14571, 593, 519, 2956, 540, 4914, 5351, 547, 1646, 267, 568, 607, 20468, 607, 621, 568, 5667, 584, 19828, 563, 301, 344, 699, 516, 729, 2111, 547, 3180, 5196, 1379, 585, 865, 1279, 5103, 1010, 29070, 3292, 7064, 547, 17542, 540, 9489, 540, 5351, 2724, 269, 1306, 1250, 26393, 8935, 326, 17020, 578, 2322, 621, 267, 968, 763, 2622, 7813, 267, 11744, 602, 621, 26218, 1312, 513, 25903, 543, 1455, 2631, 267, 2047, 896, 342, 4710, 1010, 22266, 579, 329, 4821, 320, 10325, 3034, 8253, 1152, 568, 2229, 5351, 23696, 3379, 547, 2344, 13001, 1194, 1646, 267, 855, 5351, 3292, 1419, 11716, 519, 3959, 2924, 540, 519, 4057, 543, 519, 991, 585, 12250, 6963, 269, 4033, 1806, 540, 28983, 945, 4607, 5351, 2724, 1331, 594, 10972, 589, 2381, 540, 24063, 267, 631, 1263, 626, 340, 12794, 850, 25795, 600, 540, 18629, 267, 22994, 583, 340, 590, 3150, 1530, 14150, 540, 2098, 18311, 630, 852, 519, 14891, 6243, 540, 519, 22096, 264, 543, 1256, 519, 1102, 600, 3585, 22266, 2717, 8000, 540, 25591, 563, 763, 2724, 1419, 605, 1186, 909, 28974, 20816, 1247, 789, 11654, 16160, 4507, 971, 607, 27560, 741, 4961, 685, 3484, 1633, 998, 3084, 5314, 269, 2334, 729, 519, 2013, 538, 25157, 267, 799, 4607, 17542, 540, 9489, 538, 4914, 5351, 1247, 922, 24180, 2229, 3084, 2213, 7366, 540, 11396, 2443, 1793, 4770, 6694, 2504, 543, 3056, 547, 519, 27069, 7372, 1426, 22520, 269, 634, 4558, 21684, 941, 8900, 267, 543, 1004, 31372, 585, 678, 725, 540, 1426, 563, 2108, 2691, 594, 1101, 3357, 547, 25157, 538, 519, 476, 2735, 271, 338, 267, 649, 1031, 547, 723, 2898, 530, 1841, 540, 3214, 1360, 3181, 4106, 730, 609, 22926, 267, 930, 1932, 2484, 8854, 547, 7639, 2223, 31061, 606, 5351, 11832, 585, 519, 2622, 5253, 19510, 267, 519, 1426, 13001, 817, 2700, 7936, 540, 519, 2136, 8315, 267, 968, 852, 972, 786, 1152, 581, 909, 547, 835, 610, 1079, 693, 1022, 942, 267, 543, 649, 1131, 2356, 1265, 513, 1514, 2014, 267, 971, 607, 606, 23931, 4651, 267, 610, 1373, 29152, 539, 267, 610, 9100, 1746, 7486, 1848, 634, 2985, 5627, 602, 10839, 4422, 593, 547, 3409, 602, 519, 772, 12991, 269, 1426, 10872, 968, 18478, 513, 3017, 5608, 855, 519, 2601, 2484, 7864, 1453, 18992, 547, 1210, 519, 1426, 10872, 2221, 3379, 547, 519, 476, 2735, 271, 338, 568, 17736, 545, 28204, 15534, 563, 305, 14445, 532, 4123, 7496, 568, 2484, 811, 2500, 693, 5355, 519, 2298, 540, 1272, 585, 1346, 538, 4057, 2127, 540, 519, 1158, 982, 11488, 5351, 610, 1099, 4531, 1846, 547, 948, 1374, 2229, 3292, 269, 1677, 1205, 3978, 827, 16701, 21899, 6710, 267, 2477, 1058, 11654, 4507, 540, 2804, 5191, 269, 5221, 267, 6038, 267, 2477, 1810, 1406, 4339, 6710, 269, 15706, 1863, 540, 7050, 6042, 543, 2111, 547, 7119, 538, 2518, 4123, 798, 269, 0, 2750, 18075, 267, 621, 782, 4991, 513, 3787, 30255, 256, 6744, 856, 713, 3579, 4603, 676, 14467, 593, 713, 3095, 269, 1358, 4843, 538, 4395, 540, 519, 1362, 741, 1843, 543, 2491, 566, 269, 4906, 2965, 1767, 602, 621, 729, 1732, 602, 1261, 4682, 2476, 267, 865, 602, 519, 1290, 1721, 614, 1131, 2097, 269, 3163, 630, 30606, 23227, 566, 264, 16497, 267, 14313, 267, 11242, 267, 543, 8249, 585, 9752, 834, 303, 550, 1815, 739, 257, 538, 10732, 3427, 267, 20450, 476, 272, 1299, 476, 273, 9523, 707, 4555, 543, 6667, 676, 834, 10517, 2391, 257, 2630, 269, 3509, 1004, 1118, 519, 12161, 540, 13288, 547, 519, 10513, 13336, 530, 2507, 1306, 21071, 649, 616, 519, 10610, 540, 2441, 269, 634, 19980, 956, 941, 10356, 1927, 538, 13243, 282, 634, 10513, 13336, 5795, 873, 1379, 543, 972, 7902, 1945, 899, 10209, 1132, 540, 18723, 936, 1142, 835, 781, 2212, 269, 2334, 786, 25010, 596, 32375, 269, 634, 6426, 12909, 513, 2603, 827, 1373, 4904, 609, 519, 10513, 13336, 269, 8629, 3992, 3381, 2337, 281, 9137, 676, 13690, 828, 569, 4639, 630, 320, 8004, 543, 513, 15441, 7784, 264, 4208, 1058, 649, 1416, 286, 16504, 8629, 7689, 281, 27718, 539, 547, 2142, 10513, 630, 272, 8834, 476, 272, 281, 1428, 268, 1626, 264, 901, 27718, 539, 547, 2142, 10513, 10026, 1843, 3992, 786, 723, 513, 7096, 1764, 593, 519, 1259, 519, 3214, 538, 707, 1453, 779, 18591, 2070, 1373, 13411, 269, 1261, 1185, 16219, 547, 6494, 519, 10513, 13336, 547, 581, 609, 3571, 20785, 11014, 269, 13648, 779, 16685, 7348, 281, 8866, 786, 723, 968, 339, 7360, 892, 1187, 609, 713, 4603, 1141, 789, 1101, 6492, 10750, 14614, 1216, 543, 2663, 1039, 513, 3043, 18812, 10433, 543, 1711, 513, 8949, 11164, 29087, 4235, 269, 519, 10513, 26415, 267, 7247, 519, 12429, 786, 6494, 538, 1250, 2012, 267, 646, 4927, 4001, 596, 782, 1919, 267, 543, 3142, 782, 1919, 547, 707, 1121, 27320, 267, 31049, 594, 723, 1767, 21349, 596, 5608, 8437, 547, 2671, 593, 12108, 630, 28926, 839, 538, 1007, 6885, 1070, 8437, 547, 2671, 593, 9365, 630, 28926, 839, 538, 1007, 6885, 1070, 8437, 547, 2671, 593, 26964, 630, 28926, 839, 538, 1007, 6885, 1040, 9373, 707, 4757, 2232, 547, 24049, 547, 713, 5816, 543, 4309, 711, 5874, 540, 1007, 9708, 676, 4757, 269, 12833, 1746, 1866, 547, 2441, 543, 29955, 2828, 2132, 547, 5783, 267, 8281, 968, 305, 3421, 540, 519, 10513, 26415, 1510, 8642, 5608, 1548, 616, 519, 32018, 540, 519, 10513, 26415, 268, 8629, 3992, 543, 4976, 267, 17676, 700, 30224, 968, 763, 7083, 568, 1250, 8752, 892, 873, 539, 1045, 14591, 543, 1982, 585, 707, 2680, 269, 634, 26700, 1524, 7484, 910, 1373, 1930, 547, 519, 1975, 7398, 910, 1373, 1930, 547, 519, 1975, 7398, 4197, 519, 10513, 13336, 968, 2108, 1323, 1306, 322, 3290, 8629, 7689, 5600, 3835, 1843, 281, 1849, 582, 1127, 11017, 282, 27684, 609, 476, 274, 11250, 630, 3467, 11250, 616, 5386, 607, 1134, 14386, 2422, 713, 3078, 19999, 1815, 739, 1843, 3992, 547, 4001, 1453, 827, 519, 10513, 13336, 543, 1018, 5949, 950, 519, 20785, 3459, 547, 2661, 513, 6891, 23752, 1272, 907, 23075, 10312, 281, 20450, 476, 272, 543, 476, 273, 10049, 281, 1079, 1269, 1015, 12014, 282, 24621, 282, 14402, 282, 476, 11011, 260, 27012, 4568, 282, 1216, 282, 6070, 3371, 568, 513, 1390, 1843, 3992, 547, 9414, 1946, 649, 991, 547, 581, 4904, 543, 15459, 676, 519, 10513, 13336, 269, 1261, 2813, 721, 269, 9517, 299, 2894, 8577, 5213, 1406, 3807, 670, 836, 15907, 1547, 18391, 693, 519, 6249, 540, 519, 4829, 543, 13344, 540, 519, 10513, 13336, 269, 12315, 519, 1126, 519, 666, 543, 22635, 269, 2334, 1797, 602, 538, 1169, 1259, 1261, 568, 3160, 609, 2696, 519, 12429, 543, 2696, 519, 12312, 269, 634, 16350, 540, 519, 10513, 13336, 593, 519, 24347, 956, 267, 13794, 540, 4906, 267, 20785, 267, 476, 2004, 2395, 1310, 14914, 267, 1733, 1080, 1495, 599, 267, 519, 14512, 540, 519, 5939, 267, 20450, 476, 273, 281, 272, 268, 4029, 269, 901, 2653, 1843, 3992, 14550, 938, 7589, 538, 1931, 547, 581, 4904, 609, 2696, 779, 2648, 543, 5924, 519, 10513, 13336, 269, 3502, 1518, 803, 540, 1246, 5346, 8292, 676, 4757, 269, 1284, 917, 5808, 2696, 568, 269, 2353, 519, 4829, 543, 519, 13344, 616, 1114, 267, 899, 519, 15437, 538, 519, 22774, 267, 855, 1142, 835, 568, 1271, 269, 15020, 28663, 267, 22090, 704, 267, 968, 763, 10513, 26415, 568, 513, 8748, 3659, 269, 3371, 596, 786, 2083, 526, 513, 5542, 540, 3670, 1390, 1843, 4245, 602, 786, 6157, 948, 596, 547, 4001, 593, 713, 5863, 1641, 269, 28267, 297, 17614, 570, 3201, 16775, 3767, 713, 568, 519, 4971, 618, 281, 3115, 550, 267, 782, 9493, 7475, 540, 519, 3618, 267, 543, 2097, 21349, 803, 543, 581, 19071, 1242, 538, 1250, 2012, 267, 602, 9493, 949, 581, 18813, 1881, 676, 519, 21200, 540, 519, 10513, 26415, 267, 602, 9493, 949, 1796, 5544, 1652, 1354, 803, 693, 519, 2063, 1554, 269, 8629, 16497, 269, 634, 8945, 547, 9306, 519, 10513, 13336, 547, 1453, 568, 547, 946, 2500, 12746, 625, 602, 948, 3214, 1174, 519, 10513, 13336, 779, 1909, 538, 741, 2729, 269, 901, 568, 606, 1271, 1448, 547, 1174, 269, 1215, 547, 1118, 513, 22774, 1210, 4787, 8636, 956, 910, 519, 13344, 543, 519, 4829, 540, 519, 13336, 267, 476, 275, 269, 3642, 300, 281, 634, 2048, 18661, 590, 1742, 519, 10513, 13336, 685, 10732, 3427, 7689, 630, 8002, 338, 476, 273, 281, 272, 268, 1428, 264, 6663, 547, 1397, 519, 1453, 519, 2956, 540, 519, 13411, 6891, 282, 945, 646, 568, 543, 1946, 649, 991, 1864, 269, 1284, 616, 782, 1114, 269, 634, 1360, 2856, 540, 945, 519, 10513, 13336, 568, 543, 875, 519, 10513, 13336, 666, 581, 538, 811, 982, 835, 1747, 693, 513, 942, 568, 14845, 269, 1677, 1451, 811, 827, 713, 3992, 593, 519, 10513, 13336, 267, 4945, 593, 713, 3095, 269, 1809, 581, 4904, 609, 519, 13336, 269, 901, 4168, 1843, 3992, 3096, 513, 6292, 540, 14296, 547, 948, 1453, 607, 1134, 607, 4079, 610, 6107, 8275, 875, 519, 10513, 13336, 2337, 721, 1294, 2696, 2324, 538, 543, 1472, 721, 538, 519, 5289, 7706, 540, 3571, 8003, 269, 1677, 581, 4904, 609, 519, 10513, 13336, 1797, 602, 649, 1450, 1864, 547, 19582, 543, 1852, 1169, 1858, 540, 938, 2729, 269, 808, 18804, 10281, 5766, 601, 645, 1737, 338, 538, 513, 3905, 3443, 910, 1373, 593, 3595, 676, 519, 13336, 267, 5753, 781, 18591, 2866, 910, 4930, 267, 5751, 269, 476, 272, 269, 634, 23290, 1510, 9075, 910, 1373, 4904, 609, 519, 13336, 910, 1373, 4904, 609, 519, 13336, 645, 5456, 9517, 12788, 281, 717, 7495, 670, 3008, 717, 4353, 2894, 2475, 5990, 670, 5357, 312, 9501, 7644, 3951, 269, 808, 5308, 7968, 295, 15382, 18952, 9478, 8055, 15196, 21024, 1547, 9232, 1656, 519, 13336, 2285, 628, 1769, 547, 1169, 812, 602, 635, 996, 883, 519, 1158, 282, 543, 519, 13336, 679, 13097, 996, 1169, 812, 998, 519, 1158, 267, 602, 646, 1046, 523, 996, 547, 519, 5639, 540, 519, 13336, 1848, 267, 3040, 1924, 777, 281, 589, 18813, 8595, 267, 649, 1831, 2973, 543, 811, 29881, 607, 649, 16111, 1065, 550, 547, 723, 519, 10513, 26415, 538, 938, 2729, 269, 634, 10513, 13336, 568, 519, 3791, 1268, 540, 519, 27076, 1500, 909, 540, 2696, 519, 4651, 543, 1010, 5067, 4906, 2441, 269, 3416, 793, 5147, 476, 1001, 277, 20876, 5401, 902, 689, 519, 10513, 26415, 281, 968, 296, 2322, 1585, 2182, 3536, 1700, 7945, 607, 7573, 267, 10365, 267, 18437, 16115, 267, 543, 890, 653, 2075, 27163, 1700, 20041, 32630, 5068, 11149, 267, 1210, 1079, 11149, 585, 1142, 1426, 6221, 269, 670, 5357, 312, 9501, 7644, 3951, 281, 28267, 297, 17614, 700, 8577, 2177, 269, 15681, 519, 1895, 596, 616, 2469, 547, 22090, 704, 1945, 1271, 547, 873, 269, 808, 2464, 4785, 8863, 305, 8780, 4906, 1772, 3776, 23694, 4906, 610, 30616, 1733, 558, 4024, 1411, 7427, 1547, 1548, 4523, 952, 596, 2119, 26311, 1216, 883, 606, 1862, 476, 274, 269, 22490, 4610, 616, 6825, 2608, 269, 2986, 1576, 891, 616, 1175, 513, 1906, 540, 519, 2093, 827, 519, 10513, 13336, 593, 11300, 8866, 1740, 269, 901, 2560, 901, 3308, 3992, 2982, 1453, 630, 663, 4079, 264, 875, 1271, 621, 568, 547, 711, 1152, 979, 547, 5939, 593, 9530, 904, 267, 855, 849, 547, 581, 4904, 1282, 519, 3018, 267, 998, 32467, 543, 2542, 519, 6426, 269, 901, 849, 1568, 2731, 1134, 585, 519, 10513, 26415, 19097, 1143, 13185, 952, 596, 616, 700, 9169, 269, 898, 3884, 1405, 3312, 547, 803, 610, 547, 519, 1101, 1268, 594, 4862, 946, 621, 267, 855, 594, 1589, 621, 781, 3532, 269, 1548, 649, 991, 547, 4309 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 723, 513, 1434, 4367, 267, 1141, 596, 6338, 519, 1888, 540, 707, 1257, 269, 1292, 1560, 281, 7602, 367, 338, 2012, 4661, 9890, 2491, 621, 9890, 2285, 4704, 269, 3040, 3932, 1341, 2009, 3435, 3763, 707, 2798, 5693, 538, 519, 1739, 2483, 15447, 29774, 530, 584, 1372, 581, 328, 11197, 620, 338, 834, 8722, 25733, 9452, 257, 513, 639, 613, 2763, 747, 6339, 3768, 11058, 5884, 2561, 21178, 648, 16644, 11301, 538, 3541, 918, 1538, 12929, 645, 843, 2426, 538, 1546, 28852, 1633, 267, 32228, 1329, 267, 2717, 523, 267, 3541, 5576, 933, 714, 3768, 1629, 966, 699, 514, 580, 1084, 918, 7238, 333, 580, 516, 747, 1036, 601, 332, 7564, 29967, 580, 606, 613, 325, 6686, 327, 4135, 269, 654, 518, 1372, 1100, 577, 646, 1393, 14600, 6921, 1221, 581, 328, 5700, 29774, 3768, 554, 559, 325, 28985, 523, 13153, 5576, 6686, 2401, 281, 4883, 523, 14193, 325, 3541, 575, 534, 7999, 654, 3881, 563, 24589, 2089, 267, 25515, 14871, 454, 299, 6511, 267, 25515, 14871, 514, 454, 1706, 4588, 338, 269, 901, 568, 519, 1292, 851, 540, 707, 1257, 1519, 519, 2079, 269, 3962, 5037, 1058, 8998, 1472, 835, 3844, 2856, 269, 3399, 707, 9433, 899, 713, 281, 898, 3587, 6654, 602, 519, 2278, 21314, 547, 18609, 1010, 17017, 3988, 602, 621, 568, 942, 585, 519, 17037, 547, 3717, 257, 630, 5408, 2212, 1467, 1040, 23883, 519, 2497, 540, 519, 2376, 543, 519, 946, 540, 1893, 3391, 519, 3988, 262, 3007, 269, 769, 1010, 4633, 17312, 21314, 547, 11168, 602, 646, 729, 543, 568, 519, 5078, 5518, 540, 519, 7330, 269, 23883, 519, 946, 540, 3929, 1893, 896, 6050, 713, 2070, 269, 1280, 1383, 646, 4749, 3096, 1862, 634, 946, 540, 1893, 1315, 30031, 3457, 270, 20116, 3457, 3436, 896, 6050, 602, 1862, 11363, 602, 2807, 3436, 2306, 2312, 602, 3436, 6212, 519, 3988, 262, 3007, 593, 3267, 5932, 519, 12705, 540, 1315, 602, 1862, 22587, 547, 519, 5467, 1317, 1862, 3932, 5681, 909, 707, 2164, 543, 9096, 609, 513, 25759, 5037, 269, 595, 20975, 538, 1893, 547, 4983, 281, 3436, 10852, 21291, 2241, 2497, 3436, 11357, 15453, 21291, 630, 3467, 264, 1950, 2497, 3436, 3750, 2275, 10248, 8239, 630, 324, 3052, 269, 12809, 610, 3742, 5639, 267, 11506, 610, 2241, 2511, 540, 1893, 264, 3436, 1913, 540, 2027, 2262, 4610, 630, 516, 5554, 542, 267, 6214, 267, 1920, 267, 2112, 267, 5026, 267, 1870, 267, 3092, 4700, 3436, 2523, 2318, 610, 2942, 7215, 3436, 21371, 1299, 30163, 10118, 547, 4766, 2621, 1299, 3527, 630, 324, 3052, 269, 24360, 4262, 267, 547, 3717, 16172, 855, 10978, 569, 264, 5730, 7440, 610, 1175, 2123, 6644, 3436, 638, 7627, 606, 4274, 610, 3621, 5515, 547, 6961, 1010, 270, 1200, 1210, 834, 933, 257, 543, 834, 639, 257, 547, 1331, 519, 5467, 270, 26575, 4086, 2510, 630, 17641, 518, 982, 1862, 264, 2706, 331, 2510, 630, 1492, 16999, 538, 519, 1158, 1862, 264, 3436, 17279, 540, 1913, 270, 2453, 3436, 782, 28375, 2497, 540, 606, 5811, 4985, 281, 1257, 1826, 267, 2012, 540, 519, 8191, 267, 1888, 267, 9837, 2140, 540, 1257, 267, 2707, 630, 335, 28362, 819, 630, 11845, 4297, 9847, 2110, 4832, 344, 476, 274, 268, 276, 2366, 839, 3436, 2592, 630, 324, 3052, 269, 2060, 519, 3239, 540, 519, 1977, 4182, 1373, 513, 10935, 834, 517, 513, 24360, 4262, 257, 630, 5408, 594, 269, 476, 1321, 264, 519, 2278, 896, 6050, 270, 11363, 270, 2306, 2312, 602, 3267, 264, 5811, 281, 17720, 23995, 2643, 2065, 3457, 5678, 267, 12819, 3457, 9890, 4704, 547, 15752, 10390, 281, 5681, 909, 1292, 2164, 9890, 22275, 985, 547, 15752, 0, 763, 3476, 513, 1126, 568, 13032, 1221, 267, 519, 811, 2693, 789, 616, 547, 1020, 5626, 26711, 602, 666, 2063, 513, 1272, 942, 269, 31421, 666, 581, 14042, 6028, 1453, 32585, 267, 21183, 543, 538, 31261, 269, 6884, 267, 789, 7985, 689, 7181, 31191, 267, 14331, 543, 11784, 6285, 267, 1419, 798, 14605, 693, 1153, 1813, 547, 2530, 540, 1445, 543, 6015, 563, 21579, 4275, 8621, 3570, 4956, 547, 798, 1945, 827, 11648, 538, 3506, 1310, 1200, 5067, 11124, 689, 11648, 269, 2701, 5206, 513, 1433, 11331, 2048, 20806, 27701, 519, 10089, 569, 1406, 334, 948, 3237, 1376, 519, 6643, 827, 11648, 609, 741, 1453, 563, 763, 1433, 849, 3947, 1453, 2645, 547, 8396, 11648, 269, 6341, 4275, 7074, 602, 19366, 543, 21345, 1453, 616, 811, 2693, 547, 7985, 689, 11648, 982, 824, 3214, 269, 1358, 1205, 13032, 1221, 1317, 789, 949, 3717, 824, 4654, 267, 1413, 1114, 610, 723, 513, 1114, 4984, 563, 2791, 1590, 4444, 519, 1433, 269, 31421, 538, 12140, 568, 1932, 2462, 513, 1966, 547, 4734, 547, 3610, 538, 3506, 269, 3399, 6158, 547, 707, 3214, 1631, 269, 1411, 666, 1265, 519, 1433, 538, 3798, 3000, 2023, 5398, 23905, 543, 538, 1153, 2066, 519, 2749, 269, 0, 1607, 5517, 18963, 281, 589, 17912, 6651, 2534, 849, 2882, 912, 1432, 1281, 621, 1491, 547, 1711, 513, 3621, 3069, 286, 22996, 3801, 547, 2626, 519, 2243, 676, 4974, 519, 960, 540, 8176, 16817, 543, 21238, 15570, 1088, 28615, 269, 2755, 8384, 513, 3381, 267, 789, 3950, 7422, 689, 1142, 10196, 543, 1287, 1413, 585, 3270, 538, 891, 2164, 269, 1358, 1287, 2328, 741, 1378, 6436, 1759, 593, 741, 4967, 689, 519, 7422, 563, 268, 2422, 607, 606, 3408, 540, 519, 3621, 1505, 454, 268, 2991, 519, 2534, 267, 723, 5049, 5635, 543, 4334, 519, 16817, 543, 28615, 6436, 454, 268, 1323, 1620, 540, 2067, 5542, 1991, 547, 519, 2534, 568, 5363, 454, 268, 22291, 2143, 4282, 1344, 585, 3606, 1353, 454, 268, 30216, 513, 1883, 609, 3732, 4267, 547, 519, 2875, 30453, 0, 30208, 7384, 568, 513, 1259, 547, 1491, 782, 519, 1835, 684, 4221, 543, 4393, 540, 707, 1239, 689, 707, 18376, 267, 15291, 610, 5985, 3926, 267, 543, 19132, 621, 547, 5458, 2780, 13421, 538, 2166, 1499, 10628, 269, 1411, 666, 1569, 873, 3842, 519, 946, 540, 3611, 541, 7112, 513, 1357, 11422, 267, 610, 606, 813, 1022, 942, 596, 723, 606, 5769, 4276, 563, 2690, 3549, 267, 3001, 547, 519, 6531, 666, 1611, 4227, 519, 1942, 540, 9541, 538, 8800, 543, 5989, 543, 9878, 1152, 585, 519, 2200, 789, 946, 269, 898, 849, 1954, 525, 909, 8668, 10986, 547, 1445, 593, 811, 7580, 3785, 269, 769, 1840, 267, 676, 9427, 519, 991, 547, 5781, 9337, 543, 2226, 4835, 1949, 267, 621, 2636, 3549, 547, 1847, 5488, 547, 1491, 5413, 540, 1007, 3255, 538, 1870, 563, 30208, 2029, 814, 6591, 8560, 1813, 547, 2101, 8441, 538, 519, 2361, 540, 5691, 1436, 543, 7856, 7384, 267, 543, 1164, 18286, 5769, 269, 1280, 1082, 3906, 267, 6531, 2029, 568, 519, 1152, 1505, 547, 2743, 7569, 689, 5561, 267, 2333, 22231, 543, 4228, 563, 2467, 616, 1614, 1292, 2010, 540, 6531, 2533, 912, 14276, 12269, 616, 9738, 543, 7307, 676, 3791, 18407, 7426, 269, 1358, 2709, 8112, 267, 1942, 9806, 267, 543, 2773, 5383, 269, 1358, 849, 1450, 585, 4028, 4390, 7269, 610, 5786, 952, 2877, 269, 1717, 267, 713, 2203, 849, 4679, 4220, 602, 2154, 5812, 267, 6297, 2359, 267, 2523, 1472, 3354, 543, 26125, 2152, 563, 7468, 10675, 6531, 2533, 616, 9738, 543, 7307, 676, 519, 2754, 269, 1358, 2709, 513, 3152, 1377, 540, 1852, 267, 855, 621, 2501, 693, 519, 1942, 540, 2362, 6988, 267, 3790, 267, 543, 5826, 4170, 269, 1677, 3035, 1870, 3853, 621, 568, 4105, 547, 723, 519, 1318, 2645, 543, 1702, 547, 4056, 267, 1628, 543, 2226, 513, 4357, 6531, 269, 0, 291, 558, 664, 2012, 568, 707, 3961, 593, 519, 1357, 269, 898, 781, 1018, 596, 1826, 883, 707, 11422, 2232, 3046, 543, 621, 2306, 621, 2653, 585, 1004, 547, 3314, 1141, 596, 616, 269, 1879, 1004, 1826, 538, 513, 15745, 899, 834, 10059, 2517, 4178, 6230, 2222, 327, 12320, 2593, 2580, 789, 2811, 4448, 2047, 609, 707, 3896, 630, 528, 3135, 264, 693, 602, 15745, 267, 865, 952, 2576, 11564, 602, 2985, 267, 789, 3513, 1294, 1543, 689, 602, 3135, 3079, 540, 1776, 835, 593, 519, 1482, 6389, 2012, 269, 901, 2306, 621, 2653, 585, 8436, 547, 1265, 1919, 789, 1616, 593, 707, 3135, 543, 3251, 972, 1279, 2614, 547, 798, 1945, 609, 621, 2336, 288, 6389, 2012, 568, 707, 3961, 593, 519, 1357, 269, 2659, 3896, 781, 2232, 568, 519, 15745, 602, 596, 1826, 883, 707, 11422, 547, 1569, 621, 267, 543, 621, 781, 875, 5616, 267, 29078, 267, 543, 824, 3406, 9817, 917, 1141, 547, 1265, 596, 563, 2690, 1383, 281, 952, 2576, 941, 3168, 585, 513, 1007, 22048, 8116, 538, 519, 7330, 543, 29921, 834, 10345, 302, 8116, 257, 883, 741, 11422, 2232, 3046, 267, 789, 1131, 1205, 513, 1592, 540, 2164, 689, 782, 936, 519, 1158, 1317, 972, 616, 865, 1082, 4213, 1210, 713, 3169, 2165, 607, 851, 540, 741, 32107, 4640, 630, 528, 1175, 1317, 621, 4992, 6952, 344, 1040, 1403, 596, 941, 835, 540, 1346, 4213, 11652, 3976, 1185, 1044, 3769, 538, 713, 3406, 1267, 1765, 20365, 6389, 2012, 1131, 581, 834, 698, 1890, 538, 519, 7330, 8487, 288, 1434, 6389, 2012, 568, 2653, 547, 3314, 269, 898, 1058, 581, 2110, 267, 855, 711, 1932, 2110, 269, 5213, 1405, 946, 2338, 610, 2027, 3197, 269, 5213, 1405, 946, 3834, 2380, 630, 528, 19156, 1040, 589, 1434, 6389, 2012, 1058, 723, 1100, 811, 982, 476, 275, 268, 276, 17161, 538, 621, 267, 543, 12582, 1405, 581, 1500, 909, 540, 1913, 602, 616, 1932, 1279, 1317, 789, 3513, 1118, 519, 15745, 1413, 20868, 950, 596, 13594, 621, 883, 707, 11422, 781, 2232, 3046, 2336, 288, 6389, 2012, 568, 1018, 3406, 9817, 946, 547, 4137, 856, 1141, 596, 616, 269, 634, 2407, 2232, 540, 707, 3896, 568, 1572, 513, 15745, 267, 610, 7833, 4199, 1327, 1807, 267, 543, 621, 5654, 899, 713, 281, 2890, 327, 12320, 2593, 269, 1403, 707, 3135, 814, 4957, 922, 6389, 5063, 267, 1287, 5616, 786, 1397, 519, 2025, 2985, 607, 513, 3095, 693, 519, 1283, 540, 922, 3406, 2164, 2985, 2394, 602, 2985, 1163, 2231, 538, 513, 1906, 2395, 269, 769, 824, 1913, 267, 4657, 11890, 666, 581, 1434, 585, 22048, 28559, 1152, 952, 621, 781, 2944, 7157, 2336, 2691, 596, 4444, 513, 6389, 2012, 267, 596, 616, 9140, 711, 1175, 519, 2232, 2404, 609, 602, 3896, 855, 849, 519, 10639, 543, 6392, 621, 814, 538, 519, 2872, 269, 2755, 972, 781, 1100, 8969, 602, 1082, 1004, 723, 12349, 11890, 609, 741, 11263, 18084, 267, 15691, 789, 9364, 1118, 621, 2462, 1510, 7836, 1022, 2724, 693, 782, 269, 1717, 267, 713, 4640, 666, 1394, 13933, 950, 707, 3135, 3884, 1405, 2938, 607, 606, 6392, 538, 922, 2361, 543, 19380, 856, 593, 1761, 5561, 945, 1522, 6382, 581, 5461, 538, 1018, 596, 723, 547, 2709, 269, 589, 3983, 6389, 2012, 3085, 1405, 1152, 1942, 811, 982, 513, 1434, 835, 22924, 3790, 1454, 811, 936, 942, 952, 596, 1810, 1405, 1902, 20617, 2038, 593, 256, 589, 1434, 6389, 2012, 786, 2285, 3755, 6015, 602, 789, 2811, 7231, 609, 606, 3964, 2754, 610, 3919, 282, 29285, 267, 3983, 3283, 1419, 2097, 2066, 607, 23153, 880, 8942, 693, 32107, 2933, 1759, 9003, 1472, 17161, 899, 834, 10345, 5588, 944, 330, 1080, 257, 585, 834, 10345, 302, 24108, 7970, 4799, 2252, 596, 6336, 707, 2025, 6389, 2012, 267, 596, 6336, 782, 519, 22048, 5383, 540, 707, 2025, 3135, 543, 666, 1405, 1205, 873, 1394, 3362, 269, 898, 3217, 942, 543, 2724, 547, 1628, 909, 6392, 538, 513, 1007, 13395, 267, 855, 621, 781, 4443, 982, 2479, 1631, 602, 1004, 616, 811, 3222, 540, 875, 1271, 3406, 2599, 11938, 568, 563, 2791, 3513, 1616, 547, 581, 6297, 950, 3257, 713, 1498, 32503, 1810, 1405, 1616, 547, 1981, 9561, 1022, 2186, 540, 6808, 610, 17258, 607, 606, 4274, 538, 707, 2361, 676, 4657, 11890, 1510, 2348, 513, 1544, 538, 1747, 1101, 2336, 2252, 596, 1616, 547, 1689, 707, 6389, 2012, 267, 621, 781, 711, 1175, 513, 2339, 540, 4657, 519, 15745, 269, 2659, 3135, 786, 723, 547, 581, 32206, 689, 15072, 543, 1022, 22048, 2994, 3710, 909, 936, 942, 786, 991, 547, 581, 556, 268, 9953, 574, 1242, 585, 519, 1007, 6389, 269, 901, 1797, 602, 952, 596, 2811, 13461, 593, 606, 13726, 924, 3095, 610, 1514, 2923, 8843, 607, 851, 540, 707, 6725, 4640, 267, 1346, 6402, 949, 991, 930, 3063, 960, 543, 5924, 13319, 1354, 789, 666, 581, 2500, 1586, 563, 1607, 2376, 814, 2016, 596 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 288, 22480, 267, 1134, 2275, 1844, 636, 30533, 539, 683, 22914, 16109, 689, 519, 1728, 13824, 20162, 538, 2571, 5160, 610, 5642, 267, 1277, 10999, 6353, 676, 519, 4527, 540, 669, 1180, 24945, 5052, 269, 8422, 2010, 540, 669, 1180, 668, 320, 723, 1044, 6353, 799, 2671, 1082, 1277, 1670, 2934, 855, 8428, 609, 2463, 547, 4087, 543, 4791, 2934, 454, 293, 2280, 7815, 7131, 300, 267, 1133, 14269, 918, 298, 267, 631, 1068, 839, 674, 630, 32295, 8094, 13328, 2657, 9257, 19032, 540, 570, 636, 2293, 269, 11202, 1108, 543, 21834, 540, 570, 636, 2293, 540, 9941, 570, 22568, 543, 24942, 563, 296, 2752, 290, 4964, 281, 10370, 517, 476, 1220, 273, 454, 529, 513, 22480, 267, 2356, 22072, 1728, 13824, 20162, 683, 22914, 540, 1199, 1638, 776, 5642, 563, 8110, 328, 739, 7002, 630, 9857, 868, 659, 677, 673, 264, 669, 1180, 668, 320, 454, 529, 513, 22480, 1728, 13824, 20162, 683, 22914, 540, 5642, 2627, 602, 14340, 689, 519, 31971, 739, 324, 636, 563, 529, 851, 540, 744, 961, 1512, 2068, 454, 267, 513, 1875, 2987, 615, 1243, 11095, 4524, 3361, 676, 5821, 540, 3339, 17134, 1180, 1537, 522, 1087, 2305, 543, 6353, 676, 12623, 13240, 7047, 559, 698, 29532, 13999, 630, 26067, 1180, 668, 553, 264, 538, 519, 21042, 1736, 543, 11105, 4525, 540, 519, 14788, 338, 543, 6366, 7633, 267, 609, 8795, 5232, 540, 5642, 22775, 640, 269, 631, 3530, 25458, 328, 6794, 454, 18474, 1149, 519, 2934, 540, 744, 961, 1512, 2068, 2404, 609, 2587, 328, 5448, 540, 519, 2571, 5160, 269, 0, 16240, 2233, 19712, 281, 12856, 454, 1103, 1010, 8748, 1433, 1215, 547, 3503, 3163, 11470, 543, 26135, 630, 335, 269, 10602, 1070, 29787, 2107, 5459, 8845, 9315, 3081, 782, 2984, 2270, 476, 275, 2596, 3344, 281, 6660, 24586, 267, 22830, 267, 10886, 543, 7926, 630, 300, 21201, 32656, 3371, 616, 930, 1414, 30235, 1806, 630, 312, 288, 2187, 268, 6660, 24586, 281, 827, 513, 1158, 610, 513, 2486, 269, 661, 326, 269, 26121, 4934, 540, 5384, 676, 20152, 670, 5417, 1460, 827, 942, 2951, 547, 513, 2250, 2486, 563, 268, 22830, 281, 5956, 609, 513, 9814, 547, 2626, 269, 661, 326, 269, 5019, 639, 29547, 676, 8230, 9697, 3757, 267, 12638, 9814, 538, 2230, 563, 268, 10886, 281, 827, 1915, 7004, 269, 661, 326, 7868, 5600, 540, 2480, 23705, 542, 676, 27211, 10787, 1067, 827, 513, 804, 821, 945, 10953, 2418, 563, 268, 7926, 281, 950, 1945, 4422, 4636, 538, 519, 1158, 269, 661, 326, 269, 13340, 676, 6755, 601, 2100, 25595, 827, 606, 15435, 602, 16716, 1715, 10215, 563, 7617, 2460, 540, 519, 1650, 6927, 1034, 547, 596, 286, 2334, 568, 519, 2460, 602, 786, 2285, 596, 519, 1650, 779, 2497, 269, 1107, 2107, 5459, 8845, 9315, 0, 291, 344, 321, 13831, 2051, 712, 10794, 1107, 1210, 15437, 547, 4786, 5022, 547, 4992, 454, 25648, 1606, 29022, 1565, 2337, 1053, 1935, 513, 1641, 899, 10259, 610, 2979, 998, 519, 946, 540, 1114, 12823, 269, 1879, 4730, 519, 2051, 712, 10794, 538, 13106, 1748, 267, 29325, 321, 13831, 779, 3301, 585, 1453, 609, 27577, 267, 1053, 12314, 5022, 609, 15437, 543, 849, 609, 3280, 269, 901, 31591, 1007, 1565, 9055, 538, 519, 2634, 543, 2337, 1453, 547, 4786, 9275, 3280, 547, 2854, 5022, 267, 1945, 602, 568, 2352, 585, 7988, 2716, 923, 563, 763, 3381, 2630, 2982, 519, 3014, 538, 2962, 543, 2488, 513, 5639, 27492, 3391, 269, 1411, 666, 1449, 519, 3014, 3054, 585, 1863, 676, 9683, 519, 13106, 1748, 23632, 2985, 269, 3143, 4647, 568, 2556, 282, 596, 666, 1569, 519, 1982, 538, 707, 11422, 563, 16829, 676, 1234, 31990, 27204, 700, 2801, 1276, 2993, 1923, 476, 271, 8292, 0, 9359, 513, 476, 1015, 28233, 5131, 23632, 547, 1133, 6674, 519, 9509, 5623, 454, 3963, 7689, 14136, 888, 8340, 2298, 3992, 4058, 2200, 267, 3728, 2336, 18704, 1299, 1121, 1460, 10070, 547, 12840, 563, 16391, 1125, 707, 6437, 609, 10070, 269, 14168, 2336, 5970, 942, 547, 581, 811, 3860, 1299, 17615, 609, 707, 1053, 2336, 2690, 713, 29275, 4976, 267, 1053, 1224, 519, 8847, 585, 606, 29275, 543, 606, 1931, 1106, 269, 4841, 1287, 1224, 519, 29275, 543, 1931, 1106, 543, 1287, 2626, 519, 2055, 563, 275, 14358, 476, 278, 20042, 454, 289, 22877, 513, 4750, 626, 454, 18439, 519, 11356, 607, 513, 2189, 11769, 609, 513, 2143, 543, 6905, 1770, 269, 634, 1770, 3340, 6267, 547, 2015, 519, 11356, 781, 1909, 538, 9111, 267, 1589, 827, 7881, 267, 2259, 1603, 543, 5967, 532, 267, 543, 4983, 10229, 543, 3377, 2483, 277, 628, 910, 476, 279, 628, 2296, 5678, 8551, 18938, 281, 23850, 454, 21093, 519, 4107, 856, 540, 9752, 609, 1715, 4944, 3639, 454, 5591, 2339, 1018, 1641, 596, 2811, 3450, 267, 596, 3513, 1265, 930, 1187, 543, 5499, 2093, 585, 1210, 14786, 538, 707, 4928, 609, 513, 5363, 4199, 269, 9122, 593, 15775, 519, 4107, 4934, 540, 9752, 609, 1715, 4944, 3639, 676, 31929, 9986, 1329, 267, 519, 3126, 540, 2483, 275, 628, 910, 476, 278, 628, 2296, 5678, 8551, 18938, 281, 24623, 454, 8893, 4643, 476, 273, 281, 1548, 568, 513, 23397, 267, 7102, 3118, 888, 1432, 2306, 513, 3209, 286, 6844, 532, 4589, 1265, 6667, 538, 2835, 789, 723, 1224, 267, 7234, 2934, 540, 5708, 543, 15923, 269, 1358, 2097, 909, 609, 513, 1592, 540, 9089, 789, 917, 540, 267, 723, 1224, 267, 610, 723, 2938, 607, 9413, 269, 4635, 513, 4976, 630, 2254, 2483, 277, 628, 910, 476, 280, 628, 2296, 5678, 8551, 454, 21581, 10794, 20222, 281, 10812, 25792, 28620, 454, 4504, 28558, 1647, 30595, 547, 519, 3390, 540, 3381, 3014, 5208, 609, 513, 15491, 1935, 269, 22996, 2347, 513, 11080, 5619, 267, 607, 1134, 607, 1224, 543, 1865, 513, 3377, 4183, 827, 10795, 3381, 3014, 6455, 543, 513, 30453, 593, 17003, 2483, 278, 628, 910, 476, 280, 628, 476, 2641, 560, 11416, 10341, 454, 3849, 3200, 2358, 538, 519, 12634, 2622, 281, 1323, 4985, 547, 29480, 31157, 454, 24375, 940, 513, 10388, 1603, 1770, 609, 707, 1647, 30595, 286, 13979, 621, 998, 1945, 602, 7479, 3547, 721, 782, 281, 10229, 256, 3414, 4974, 3381, 543, 1820, 29275, 267, 707, 1362, 786, 2259, 5871, 11759, 1983, 585, 2542, 2483, 278, 628, 910, 476, 279, 628, 2296, 5678, 8551, 18938, 281, 23850, 454, 288, 15474, 1975, 514, 454, 19138, 2262, 3903, 543, 25664, 566, 538, 10229, 269, 22419, 4983, 5859, 18537, 267, 1312, 2942, 543, 2318, 267, 689, 519, 476, 1220, 277, 4571, 3856, 9550, 1354, 7234, 606, 2376, 543, 5659, 513, 5859, 540, 1022, 11134, 789, 3442, 269, 7053, 267, 789, 2483, 277, 628, 910, 476, 1321, 628, 2296, 5678, 8551, 18938, 281, 24623, 0, 9359, 513, 476, 1015, 28233, 5131, 23632, 547, 1133, 6674, 519, 9509, 5623, 454, 3963, 7689, 14136, 888, 8340, 2298, 3992, 4058, 2200, 267, 3728, 2336, 18704, 1299, 1121, 1460, 10070, 547, 12840, 563, 16391, 1125, 707, 6437, 609, 10070, 269, 14168, 2336, 5970, 942, 547, 581, 811, 3860, 1299, 17615, 609, 707, 1053, 2336, 4467, 1584, 619, 538, 14579, 5678, 26643, 454, 10743, 1711, 3992, 4566, 585, 741, 4914, 1893, 4928, 1210, 519, 4950, 269, 1358, 1020, 7653, 602, 786, 5512, 741, 1053, 547, 1831, 3238, 609, 519, 3992, 971, 607, 547, 1118, 513, 2951, 2156, 577, 675, 563, 1626, 14358, 476, 1704, 20042, 454, 4504, 28558, 707, 10453, 547, 519, 17170, 1272, 5578, 540, 2319, 543, 1788, 2359, 269, 3414, 3211, 267, 4901, 267, 543, 1909, 25178, 532, 2238, 267, 6267, 2259, 1210, 8671, 995, 1893, 267, 2263, 1585, 2359, 6163, 267, 543, 2697, 2483, 277, 628, 910, 14451, 3798, 476, 2641, 560, 11416, 10341, 18938, 281, 24623, 454, 8139, 2659, 10341, 543, 13669, 757, 454, 20597, 1571, 267, 15421, 267, 543, 2123, 7907, 616, 519, 1445, 540, 519, 8772, 8400, 538, 513, 476, 2537, 268, 1652, 517, 3126, 540, 1272, 1983, 5751, 269, 19893, 1628, 513, 2247, 4786, 540, 782, 519, 1983, 543, 15421, 538, 519, 1362, 267, 543, 1287, 2516, 960, 1927, 547, 2483, 277, 628, 910, 14451, 3798, 476, 2641, 560, 11416, 10341, 454, 6637, 476, 280, 281, 5678, 14409, 281, 18972, 543, 23675, 454, 5327, 11220, 547, 13173, 1323, 4985, 547, 5678, 676, 15117, 3245, 7219, 267, 7917, 14339, 2006, 267, 543, 715, 2088, 5754, 4461, 267, 713, 32029, 9607, 513, 1297, 540, 1893, 267, 6639, 267, 543, 25349, 3584, 269, 634, 15942, 1223, 581, 5363, 538, 2901, 513, 2483, 295, 27941, 3798, 4317, 5525, 1299, 3778, 454, 31416, 12890, 1107, 12409, 27678, 585, 8866, 454, 306, 2925, 707, 1362, 930, 1426, 585, 2219, 609, 606, 813, 602, 568, 669, 1442, 268, 21459, 540, 3872, 7044, 602, 616, 2653, 547, 7558, 269, 32167, 2812, 666, 19584, 519, 6688, 610, 3406, 585, 1945, 1808, 269, 23657, 1259, 267, 789, 3513, 1451, 1945, 1007, 543, 2972, 2483, 274, 6113, 910, 14451, 3798, 476, 2641, 560, 11416, 10341, 454, 25284, 2719, 256, 6258, 519, 17943, 540, 32017, 267, 1215, 547, 17292, 513, 5678, 513, 5741, 267, 543, 2859, 2336, 1015, 25008, 476, 280, 628, 910, 14451, 3798, 5303, 1299, 7177, 18938, 281, 24623, 0, 3963, 7689, 14136, 888, 8340, 2298, 3992, 4058, 2200, 267, 3728, 2336, 18704, 1299, 1121, 1460, 10070, 547, 12840, 563, 16391, 1125, 707, 6437, 609, 10070, 269, 14168, 2336, 5970, 942, 547, 581, 811, 3860, 1299, 17615, 609, 707, 1053, 2336, 2690, 713, 7320, 4976, 267, 1053, 786, 1224, 936, 513, 1592, 540, 476, 2764, 5065, 3662, 2249, 267, 741, 2115, 267, 543, 4277, 4162, 269, 901, 1592, 666, 581, 1031, 607, 513, 24920, 950, 856, 593, 513, 30382, 610, 538, 519, 1153, 13452, 547, 2697, 1455, 7320, 563, 274, 14358, 476, 1428, 20042, 0, 3963, 7689, 14136, 888, 24552, 20553, 25285, 476, 273, 454, 1103, 713, 6310, 7215, 2534, 267, 1053, 2259, 1603, 7215, 538, 519, 1101, 1305, 540, 2042, 269, 769, 519, 2034, 1305, 267, 1053, 6218, 1142, 4082, 950, 575, 284, 275, 269, 769, 519, 3791, 1305, 267, 1053, 6474, 1142, 3948, 609, 519, 2953, 4082, 543, 1287, 2347, 1079, 1449, 3341, 2055, 269, 0, 28848, 18320, 13518, 13245, 19871, 286, 1107, 17136, 1948, 476, 4350, 270, 274, 454, 293, 2431, 2287, 21561, 2986, 23205, 802, 14856, 18320, 13518, 19871, 888, 6097, 547, 28135, 267, 1082, 2043, 538, 519, 2475, 1491, 538, 476, 274, 268, 276, 2053, 1454, 811, 3940, 982, 789, 991, 269, 1323, 6099, 2635, 3940, 6981, 568, 827, 476, 271, 269, 276, 10101, 630, 4335, 8406, 264, 540, 3940, 1142, 11013, 540, 10709, 1560, 2527, 269, 901, 1939, 525, 547, 3823, 476, 2412, 268, 3583, 10101, 540, 3940, 3232, 269, 2755, 1164, 3940, 2732, 4566, 616, 5393, 2442, 267, 4189, 1932, 1454, 5666, 540, 3940, 666, 581, 31362, 547, 707, 9716, 563, 763, 667, 13377, 2986, 3117, 11167, 10158, 18320, 13518, 13245, 19871, 454, 2252, 596, 3548, 513, 2603, 811, 3940, 982, 707, 1560, 5963, 1223, 1118, 946, 540, 1223, 1711, 2042, 609, 707, 2489, 1072, 543, 8516, 538, 513, 1297, 540, 2409, 563, 310, 599, 1932, 1454, 2635, 3940, 666, 1291, 547, 891, 9716, 2042, 912, 1700, 24046, 1973, 7280, 454, 1700, 13379, 2744, 454, 1700, 18320, 1454, 2168, 1560, 3170, 454, 1700, 13262, 593, 707, 14401, 267, 799, 723, 547, 1205, 7759, 540, 4430, 2635, 3940, 454, 1700, 13809, 540, 6886, 689, 707, 7633, 454, 1700, 9435, 1591, 10761, 454, 6546, 1373, 10645, 267, 596, 723, 547, 917, 602, 707, 2168, 1560, 1223, 711, 2661, 1510, 2635, 3940, 269, 2755, 930, 11254, 7408, 666, 581, 1500, 676, 519, 1560, 267, 1896, 4105, 11254, 7408, 666, 711, 581, 1500, 676, 519, 1560, 8031, 855, 723, 547, 581, 12842, 998, 1426, 2200, 269, 2659, 11254, 7408, 616, 4010, 1018, 1118, 519, 3940, 602, 2337, 1332, 16757, 5160, 267, 536, 3415, 2281, 267, 11476, 267, 607, 1134, 607, 1896, 17441, 8069, 707, 1560, 814, 547, 7639, 563, 7312, 2168, 1560, 3157, 2635, 3940, 1447, 7561, 607, 596, 2085, 547, 1118, 2386, 602, 10438, 6190, 1164, 2298, 2635, 3940, 7475, 909, 1373, 811, 1271, 269, 1411, 849, 991, 1454, 811, 3940, 1247, 9176, 865, 519, 796, 9799, 1126, 1223, 8415, 602, 2635, 3940, 538, 1931, 547, 1332, 269, 13705, 710, 1004, 602, 616, 711, 10172, 610, 24584, 1223, 6529, 547, 10438, 476, 2412, 268, 3583, 10101, 540, 2635, 3940, 3232, 607, 5227, 563, 2467, 568, 606, 5580, 3970, 538, 1931, 547, 1175, 875, 1454, 3940, 707, 2168, 1560, 814, 519, 12588, 547, 1118, 6165 ]

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

[ 8517, 300, 13703, 6466, 519, 2606, 11250, 540, 667, 11403, 274, 950, 621, 729, 5950, 538, 476, 1220, 278, 3323, 693, 476, 8517, 300, 13703, 269, 7351, 667, 11403, 274, 3965, 8255, 909, 547, 476, 5908, 277, 300, 13703, 543, 2773, 667, 11403, 274, 13838, 630, 290, 745, 1017, 11831, 626, 1460, 264, 616, 5827, 540, 4881, 693, 11250, 3152, 982, 476, 13975, 271, 300, 13703, 563, 268, 476, 1704, 270, 6021, 270, 1001, 274, 5788, 594, 4941, 547, 22010, 519, 20433, 547, 476, 273, 26838, 609, 513, 1007, 10380, 540, 835, 476, 272, 26838, 20433, 267, 855, 594, 729, 849, 11842, 952, 594, 666, 5372, 519, 2025, 476, 272, 26838, 667, 11403, 273, 609, 513, 1007, 476, 273, 26838, 667, 11403, 274, 20433, 267, 543, 1039, 835, 811, 476, 272, 26838, 667, 11403, 274, 20433, 267, 1818, 519, 2898, 20433, 4390, 547, 476, 275, 26838, 667, 11403, 274, 563, 268, 2290, 540, 519, 4128, 865, 1082, 1004, 1589, 789, 723, 667, 11403, 273, 568, 602, 4587, 8747, 540, 20848, 899, 17765, 19053, 4857, 519, 15155, 607, 667, 11403, 273, 269, 634, 10648, 3393, 270, 5325, 13365, 1115, 1489, 1312, 667, 11403, 273, 543, 667, 11403, 274, 563, 268, 5700, 811, 281, 717, 291, 11403, 276, 5288, 717, 291, 11403, 275, 5288, 717, 291, 11403, 274, 5288, 667, 11403, 274, 20433, 18948, 269, 634, 3259, 540, 667, 11403, 275, 667, 8379, 300, 568, 3044, 693, 476, 15836, 269, 3374, 7825, 855, 922, 4463, 568, 5594, 2799, 547, 476, 4029, 269, 1839, 7825, 543, 621, 568, 5594, 23198, 693, 476, 272, 269, 273, 7825, 563, 268, 476, 1724, 270, 6860, 270, 1001, 273, 5788, 1215, 547, 2697, 546, 20142, 273, 610, 546, 20142, 274, 15155, 593, 26099, 678, 9545, 880, 876, 4455, 476, 1724, 267, 476, 1001, 273, 267, 476, 280, 281, 4649, 6751, 594, 723, 7537, 291, 590, 11391, 1258, 609, 476, 274, 724, 345, 16267, 267, 476, 273, 575, 321, 15155, 609, 9486, 1535, 335, 15259, 267, 1616, 547, 2333, 1250, 20433, 855, 711, 2111, 547, 2697, 952, 20433, 454, 2791, 666, 1265, 721, 1934, 912, 268, 8241, 13317, 24540, 281, 2052, 828, 571, 20554, 267, 717, 578, 4471, 20554, 267, 23720, 20554, 267, 19258, 517, 20554, 267, 1635, 342, 784, 20554, 267, 20554, 5245, 476, 29214, 274, 454, 268, 1715, 3162, 12986, 281, 2782, 4048, 31243, 29517, 267, 654, 663, 7578, 29517, 267, 6778, 14355, 29517, 267, 8805, 341, 1446, 29517, 267, 717, 3019, 3518, 5055, 29517, 267, 29517, 5245, 476, 18684, 276, 454, 268, 8832, 24540, 281, 25538, 7159, 16047, 24857, 267, 1323, 785, 1176, 752, 11445, 24857, 267, 634, 25052, 24857, 267, 2311, 527, 329, 699, 24857, 267, 7984, 718, 320, 24857, 267, 918, 15811, 24857, 267, 24857, 5245, 476, 5400, 276, 276, 454, 268, 24368, 281, 10496, 10849, 4270, 1627, 17162, 267, 3794, 523, 1613, 1627, 17162, 267, 16836, 10830, 1627, 17162, 267, 10089, 4546, 1627, 17162, 267, 1627, 17162, 5245, 476, 32076, 274, 454, 268, 3162, 5245, 281, 966, 16695, 14408, 267, 623, 2465, 6883, 320, 14408, 267, 21537, 1047, 14408, 267, 1656, 600, 809, 320, 14408, 267, 717, 746, 15880, 14408, 267, 20322, 18484, 5244, 14408, 267, 14408, 5245, 476, 27843, 275, 454, 268, 31005, 807, 281, 681, 5803, 2421, 570, 3008, 267, 19994, 5069, 570, 3008, 267, 3502, 2917, 22193, 570, 3008, 267, 570, 3008, 5245, 476, 3583, 278, 275, 454, 268, 15117, 281, 4414, 23193, 966, 2975, 267, 3345, 2782, 8681, 344, 974, 966, 2975, 267, 9931, 15838, 966, 2975, 267, 13879, 8092, 532, 966, 2975, 267, 15593, 15842, 5803, 966, 2975, 267, 966, 2975, 5245, 476, 4968, 276, 454, 268, 5375, 5245, 281, 11197, 29589, 26146, 267, 9324, 321, 1046, 518, 26146, 267, 5211, 341, 1446, 26146, 267, 26146, 5245, 476, 2568, 280, 280, 454, 268, 3703, 12052, 281, 13642, 7460, 267, 6519, 9412, 7460, 267, 20088, 6807, 7460, 267, 23720, 5211, 7460, 267, 20417, 7460, 267, 7460, 4516, 267, 966, 279, 310, 476, 274, 310, 274, 454, 268, 962, 4157, 517, 281, 25832, 962, 307, 267, 7108, 14840, 962, 307, 267, 2826, 2335, 807, 15880, 962, 307, 267, 9741, 5211, 962, 307, 267, 16592, 6997, 10235, 962, 307, 267, 962, 307, 4516, 267, 962, 272, 288, 476, 275, 290, 280, 454, 268, 22598, 281, 6660, 334, 9474, 267, 16189, 5459, 9474, 267, 6660, 2280, 9474, 267, 16737, 15880, 9474, 267, 595, 569, 1372, 9474, 267, 7137, 342, 2106, 9474, 267, 9474, 4516, 267, 570, 276, 298, 476, 272, 297, 275, 454, 268, 19566, 17197, 1559, 281, 1284, 330, 11548, 328, 24857, 267, 654, 3419, 2917, 24857, 267, 769, 12320, 1731, 24857, 267, 17865, 26111, 476, 4198, 24857, 267, 24857, 4516, 267, 2473, 272, 288, 476, 272, 299, 273, 454, 268, 32527, 520, 3832, 9774, 281, 2052, 7702, 27699, 267, 2398, 644, 262, 327, 558, 1889, 27699, 267, 18171, 2280, 27699, 267, 12338, 12928, 1057, 27699, 267, 1621, 548, 26709, 27699, 267, 1325, 3139, 320, 27699, 267, 27699, 4516, 267, 590, 275, 303, 476, 277, 290, 274, 454, 268, 31671, 20899, 281, 31671, 537, 15406, 267, 21651, 15406, 267, 654, 4883, 6559, 326, 2670, 15406, 267, 15406, 4516, 267, 681, 274, 289, 476, 274, 303, 280, 454, 268, 20563, 281, 4425, 529, 321, 686, 663, 1627, 290, 267, 31661, 332, 699, 1627, 290, 267, 2142, 879, 576, 6807, 1627, 290, 267, 12313, 1627, 290, 267, 12142, 5025, 1872, 755, 514, 11546, 268, 5327, 332, 879, 637, 1627, 290, 267, 1627, 290, 4516, 267, 670, 273, 312, 476, 278, 310, 272, 454, 268, 1715, 19839, 1873, 1157, 281, 23720, 2023, 715, 289, 267, 9835, 324, 268, 2304, 572, 715, 289, 267, 17368, 517, 715, 289, 267, 715, 289, 4516, 267, 661, 274, 289, 476, 276, 295, 278, 454, 268, 25429, 32108, 281, 30466, 517, 880, 22085, 267, 962, 1301, 1926, 22085, 267, 645, 1551, 15838, 22085, 267, 22085, 4516, 267, 645, 274, 297, 476, 275, 306, 274, 454, 268, 13584, 11977, 6816, 281, 31869, 1326, 1144, 18027, 267, 9503, 7615, 18027, 267, 853, 269, 22956, 18027, 267, 18027, 4516, 267, 595, 272, 288, 476, 273, 301, 274, 454, 268, 1715, 11398, 1633, 543, 6997, 30786, 281, 853, 269, 6601, 526, 534, 781, 715, 299, 267, 12844, 822, 16695, 715, 299, 267, 18724, 20860, 715, 299, 267, 15117, 715, 299, 267, 715, 299, 4516, 267, 589, 272, 289, 476, 275, 297, 273, 454, 268, 14411, 281, 674, 31867, 976, 16047, 10396, 267, 16016, 5894, 22484, 10396, 267, 9701, 823, 10396, 267, 12891, 2421, 24759, 267, 853, 269, 3397, 24048, 10396, 267, 8496, 580, 753, 10396, 267, 2274, 5446, 2023, 10396, 267, 10396, 4516, 267, 631, 278, 288, 476, 273, 299, 279, 454, 268, 715, 684, 822, 583, 281, 715, 3241, 339, 514, 5600, 715, 308, 267, 2494, 1088, 6816, 715, 308, 267, 715, 308, 4516, 267, 2473, 271, 288, 476, 278, 295, 276, 454, 268, 4789, 281, 7439, 16049, 17628, 267, 16199, 604, 1314, 17628, 267, 16065, 867, 17628, 267, 654, 820, 7615, 17628, 267, 17659, 5112, 17628, 267, 17628, 2136, 8003, 654, 272, 308, 476, 272, 288, 274, 454, 268, 8832, 8581, 281, 14216, 787, 630, 299, 1180, 16093, 787, 264, 715, 7644, 267, 10854, 528, 715, 7644, 267, 30621, 822, 517, 630, 514, 743, 269, 700, 584, 1146, 267, 5800, 611, 1144, 264, 715, 7644, 267, 1715, 26165, 629, 21161, 715, 7644, 267, 30621, 822, 517, 630, 514, 743, 269, 700, 584, 1146, 267, 5800, 611, 1144, 264, 715, 7644, 267, 715, 7644, 2136, 8003, 31641, 273, 476, 278, 295, 279, 454, 268, 10430, 281, 589, 828, 1372, 523, 590, 4596, 267, 623, 9820, 2917, 590, 4596, 267, 667, 1495, 2465, 590, 4596, 267, 12389, 8725, 590, 4596, 267, 25470, 590, 4596, 267, 590, 4596, 2136, 8003, 661, 295, 1015, 476, 273, 289, 279, 454, 268, 12986, 281, 654, 516, 343, 5069, 654, 3201, 267, 654, 516, 343, 5069, 654, 3201, 267, 3026, 987, 654, 3201, 267, 3026, 987, 654, 3201, 267, 9315, 858, 654, 3201, 267, 654, 3201, 2136, 8003, 18435, 2190, 476, 276, 291, 275, 0, 4131, 803, 1376, 676, 6031, 602, 713, 4528, 540, 519, 1404, 568, 711, 585, 519, 9956, 1625, 626, 269, 1261, 3458, 4461, 693, 19201, 607, 1352, 31439, 543, 13290, 547, 12404, 689, 1864, 269, 6271, 3017, 1063, 519, 1404, 543, 519, 7260, 538, 4729, 3877, 568, 693, 519, 10678, 540, 519, 3003, 1650, 269, 1452, 3604, 1063, 519, 1654, 269, 634, 8053, 6558, 781, 1256, 6430, 547, 16245, 513, 4154, 18533, 540, 19201, 543, 519, 7167, 340, 2280, 781, 21199, 1688, 781, 609, 873, 799, 616, 1360, 1434, 4191, 602, 519, 1279, 543, 15280, 21535, 540, 519, 1079, 3885, 568, 936, 2920, 966, 267, 26657, 476, 274, 267, 7412, 476, 27768, 269, 769, 14858, 742, 699, 25651, 781, 2504, 267, 972, 568, 513, 2603, 540, 862, 10056, 1310, 519, 12016, 9060, 1200, 4666, 563, 6524, 4358, 519, 7260, 267, 594, 899, 547, 2285, 1053, 513, 12744, 267, 6148, 1256, 513, 2062, 8705, 940, 269, 634, 21098, 729, 13730, 538, 513, 29779, 267, 811, 15568, 1259, 269, 594, 786, 5635, 519, 8689, 781, 2553, 269, 654, 10248, 891, 9413, 267, 9878, 2673, 3007, 568, 1271, 1317, 621, 568, 711, 1175, 519, 29278, 543, 799, 3197, 616, 5129, 676, 7247, 267, 855, 1018, 519, 8689, 729, 3843, 547, 9446, 538, 713, 6429, 269, 634, 5467, 666, 2995, 713, 676, 519, 1259, 519, 1079, 3717, 269, 6969, 2469, 547, 519, 5428, 30330, 583, 1470, 6645, 19151, 543, 2828, 519, 10348, 631, 629, 4633, 269, 769, 519, 7260, 519, 7167, 340, 2280, 19772, 568, 513, 9649, 19772, 17479, 538, 519, 1647, 540, 519, 2749, 1141, 607, 538, 519, 1404, 621, 729, 513, 10169, 1507, 19772, 602, 568, 17479, 538, 513, 28200, 563, 15987, 789, 949, 3100, 1114, 693, 2053, 267, 519, 1650, 1467, 2760, 2242, 267, 621, 2141, 3788, 827, 1079, 1762, 18798, 945, 911, 326, 1227, 5884, 607, 513, 1267, 540, 26882, 11546, 322, 2888, 269, 2368, 824, 2101, 3604, 1063, 519, 1404, 543, 519, 7260, 7018, 538, 519, 4729, 3877, 269, 19151, 6763, 1394, 267, 543, 19201, 781, 4064, 7930, 1930, 269, 634, 476, 1960, 277, 7260, 568, 1360, 3728, 19550, 267, 865, 835, 1522, 711, 5469, 602, 519, 7128, 8783, 781, 2012, 568, 2965, 13584, 18521, 31647, 269, 4014, 538, 519, 7260, 4528, 540, 713, 851, 267, 782, 602, 519, 21951, 6487, 568, 602, 19151, 568, 5393, 13347, 689, 1945, 602, 729, 2760, 4547, 909, 269, 30330, 583, 1470, 543, 14977, 4472, 339, 3136, 8165, 543, 950, 30330, 583, 1470, 7475, 909, 10888, 267, 14977, 4472, 339, 15211, 2476, 267, 19849, 21724, 269, 1703, 616, 1082, 2188, 602, 3361, 741, 7972, 563, 289, 1794, 700, 7795, 337, 10458, 781, 1412, 305, 727, 334, 1341, 19201, 262, 3379, 609, 9956, 781, 22731, 4518, 269, 9521, 538, 519, 1404, 267, 538, 519, 7260, 950, 19201, 530, 1389, 909, 519, 29443, 541, 18039, 568, 711, 972, 269, 9282, 19151, 543, 19201, 519, 7260, 568, 1434, 267, 621, 568, 1869, 7508, 1082, 1434, 2694, 269, 634, 1671, 5224, 4339, 6429, 2488, 606, 5140, 1383, 540, 519, 3017, 538, 25287, 2762, 543, 605, 1186, 269, 898, 568, 5363, 547, 3247, 543, 2307, 952, 789, 5431, 519, 3515, 563, 2690, 1383, 267, 950, 19151, 14659, 602, 19201, 568, 269, 1323, 1383, 540, 713, 568, 519, 7365, 6429, 269, 5484, 14179, 1470, 568, 24986, 607, 646, 6645, 519, 1650, 540, 14977, 4472, 339, 11318, 30330, 583, 1470, 543, 19151, 11318, 14977, 4472, 339, 269, 28167, 4144, 22479, 26369, 543, 1849, 18311, 667, 6951, 269, 1323, 1383, 540, 713, 568, 519, 269, 634, 24133, 6429, 540, 519, 1404, 568, 513, 1360, 3978, 2680, 563, 10214, 1498, 1312, 29443, 1513, 616, 1114, 538, 5920, 543, 7209, 267, 594, 3494, 789, 1312, 9446, 513, 1360, 25091, 267, 12391, 3659, 547, 1312, 19151, 543, 19201, 269, 1717, 267, 538, 519, 7260, 4528, 540, 519, 24133, 6429, 267, 1586, 3025, 568, 8909, 855, 713, 942, 519, 29443, 541, 13071, 856, 513, 17254, 326, 548, 607, 646, 5910, 1742, 547, 7281, 585, 19201, 269, 2290, 540, 519, 1034, 1271, 3347, 538, 19151, 543, 19201, 568, 519, 2078, 1063, 519, 29237, 543, 19201, 269, 24806, 19151, 543, 19201, 20176, 625, 18948, 4828, 634, 7260, 14624, 540, 19151, 543, 19201, 616, 30140, 1114, 267, 1247, 23187, 519, 1292, 4729, 543, 4509, 519, 1271, 2694, 269, 769, 2920, 476, 272, 267, 26657, 476, 274, 649, 616, 5189 ]

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

[ 29002, 2561, 956, 879, 576, 4995, 7046, 519, 13212, 879, 576, 8708, 543, 22635, 538, 476, 16006, 7484, 780, 1262, 3721, 476, 277, 281, 26157, 22911, 543, 16959, 23123, 630, 15307, 13846, 5384, 281, 476, 276, 3764, 21143, 265, 2878, 24836, 706, 958, 17006, 16959, 23123, 4995, 2060, 519, 3575, 518, 1869, 4881, 267, 7444, 1039, 519, 6404, 3819, 5820, 547, 519, 6632, 5820, 563, 265, 2878, 9928, 1905, 532, 590, 1938, 4995, 17547, 519, 3575, 518, 12212, 547, 1085, 7275, 1524, 519, 5011, 540, 519, 12826, 1210, 519, 12285, 22883, 3121, 780, 1262, 3721, 476, 278, 281, 30459, 28688, 932, 2354, 630, 15307, 13846, 5384, 281, 476, 273, 3764, 21143, 265, 2878, 28926, 2287, 28688, 932, 760, 20045, 4995, 570, 792, 1930, 519, 10189, 540, 10859, 1606, 11548, 10217, 13365, 563, 265, 2878, 29002, 28688, 932, 2354, 4995, 32449, 538, 476, 272, 7484, 540, 10217, 13365, 543, 3575, 2394, 789, 2811, 14961, 7856, 2429, 519, 14859, 780, 1262, 3721, 476, 279, 281, 590, 1723, 14563, 13648, 773, 667, 965, 5196, 645, 1136, 16847, 630, 15307, 13846, 5384, 281, 476, 1015, 3764, 21143, 265, 2878, 27609, 532, 645, 1136, 16847, 4995, 9255, 519, 11256, 6656, 593, 513, 6366, 2627, 563, 265, 2878, 306, 1723, 14563, 13648, 773, 667, 965, 4995, 2422, 513, 29537, 610, 23739, 1085, 17274, 547, 6712, 856, 17031, 11084, 540, 14859, 5196, 519, 11256, 6656, 267, 6028, 827, 476, 273, 6279, 1063, 1142, 23739, 780, 1262, 3721, 476, 280, 281, 645, 1136, 13648, 625, 630, 15307, 13846, 5384, 281, 476, 1321, 268, 1691, 3764, 21143, 265, 2878, 11900, 1068, 532, 645, 1136, 16847, 4995, 22391, 519, 11256, 6656, 883, 519, 840, 515, 730, 14089, 267, 4180, 621, 781, 10704, 543, 6366, 563, 265, 2878, 289, 1136, 4995, 645, 820, 585, 476, 1321, 268, 1691, 3764, 610, 2394, 8728, 616, 21066, 11344, 6960, 780, 1262, 3721, 476, 1015, 281, 15346, 532, 13648, 625, 630, 15307, 13846, 5384, 281, 476, 1015, 3764, 21143, 265, 2878, 7230, 8221, 645, 1136, 16847, 4995, 2422, 14089, 5378, 1206, 610, 10209, 338, 547, 5402, 4894, 519, 11256, 6656, 689, 519, 14089, 563, 265, 2878, 9558, 2536, 2590, 13648, 625, 4995, 2913, 519, 12897, 3579, 593, 519, 11256, 6656, 585, 476, 276, 3764, 1354, 22151, 873, 547, 513, 5911, 24646, 547, 3579, 4625, 780, 23558, 256, 1411, 1631, 723, 28448, 19323, 13212, 879, 576, 10217, 13863, 12897, 269, 17949, 4687, 873, 609, 2828, 543, 1920, 2439, 8855, 547, 2973, 909, 1310, 3054, 676, 11067, 8286, 267, 530, 31441, 1524, 7252, 267, 543, 13936, 31629, 5820, 5265, 269, 8414, 11256, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 13014, 2561, 956, 879, 576, 28688, 932, 760, 13648, 625, 257, 538, 519, 2511, 540, 14392, 585, 2576, 945, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2168, 543, 1480, 4205, 3238, 267, 1256, 519, 1034, 2596, 543, 6654, 3283, 267, 14322, 519, 5467, 2115, 713, 1344, 1100, 2339, 875, 2596, 621, 666, 3100, 269, 0, 2878, 16215, 281, 23889, 4578, 689, 31072, 17796, 12533, 14945, 2162, 4985, 692, 1103, 2221, 781, 1870, 1604, 267, 3906, 1419, 7048, 593, 2789, 2959, 540, 1239, 547, 1118, 5483, 3664, 269, 901, 1239, 666, 2097, 689, 1585, 4835, 1949, 899, 10911, 300, 267, 661, 14641, 267, 6725, 12957, 2645, 267, 543, 5007, 2959, 899, 3791, 18407, 21527, 267, 1514, 2923, 5867, 267, 543, 2229, 8041, 269, 23889, 1239, 689, 891, 19635, 2959, 883, 707, 3919, 781, 21438, 6538, 6087, 1732, 3375, 6194, 676, 3246, 513, 19618, 2070, 540, 782, 2139, 1239, 269, 769, 713, 1770, 267, 649, 786, 2263, 875, 547, 11753, 1239, 689, 5007, 2959, 1210, 9786, 7457, 607, 938, 3119, 1907, 269, 1284, 786, 849, 1865, 1655, 2853, 585, 5883, 3354, 543, 7834, 4145, 950, 7231, 609, 5007, 1239, 780, 2971, 4804, 20505, 692, 3528, 519, 1439, 540, 713, 1770, 267, 596, 1058, 581, 2111, 547, 912, 272, 269, 16259, 5007, 1239, 585, 1104, 532, 883, 7457, 563, 273, 269, 7383, 1239, 689, 1455, 5007, 2959, 899, 9185, 563, 274, 269, 28509, 3593, 6589, 543, 27704, 585, 5150, 1239, 1569, 563, 275, 269, 25956, 1239, 3339, 1436, 2553, 547, 2226, 1239, 8699, 563, 276, 269, 24410, 7632, 327, 2393, 1455, 2152, 1282, 1239, 5610, 780, 2162, 27759, 24498, 4578, 585, 7383, 692, 6524, 10128, 1239, 689, 5007, 2959, 267, 621, 781, 1898, 547, 2327, 602, 519, 1239, 568, 2973, 267, 5812, 267, 543, 1134, 3613, 19099, 269, 18648, 569, 5423, 1239, 666, 1267, 538, 6959, 267, 29927, 267, 543, 1761, 2530, 540, 3407, 4030, 269, 7427, 891, 3268, 547, 5965, 5007, 1239, 585, 1104, 1384, 272, 269, 11162, 519, 1239, 281, 17179, 1022, 26134, 5638, 267, 6445, 538, 7508, 2418, 267, 543, 4894, 11991, 9587, 269, 6333, 1210, 2645, 899, 9185, 3252, 267, 5295, 2372, 2044, 267, 610, 7046, 8269, 710, 585, 7738, 1804, 14449, 563, 273, 269, 9208, 1125, 11249, 281, 3550, 602, 4266, 267, 942, 267, 9304, 267, 543, 1297, 12043, 616, 5812, 2429, 519, 10471, 563, 274, 269, 16294, 3347, 1063, 7515, 281, 10576, 4914, 10569, 543, 3715, 3347, 1063, 1644, 7515, 563, 275, 269, 16453, 1125, 1239, 630, 28436, 2567, 19147, 3677, 7515, 883, 4130, 3283, 1759, 593, 6198, 29444, 547, 2569, 21336, 3599, 543, 2087, 2773, 780, 2162, 7383, 532, 4578, 689, 5871, 24498, 4813, 1846, 692, 19859, 7809, 7457, 7028, 1104, 532, 1239, 689, 1896, 2442, 5007, 3758, 12043, 1519, 11483, 309, 267, 2473, 11862, 11583, 1070, 24701, 267, 543, 744, 291, 6195, 269, 12989, 267, 649, 7291, 519, 1184, 585, 1104, 532, 1239, 689, 9185, 6119, 1384, 272, 269, 8437, 519, 2387, 2750, 4156, 4578, 319, 9184, 1369, 7457, 563, 273, 269, 7994, 2387, 2750, 4897, 319, 896, 2387, 17387, 1299, 13017, 319, 563, 274, 269, 25873, 547, 12398, 519, 5551, 9185, 3758, 563, 275, 269, 8564, 519, 3617, 4976, 543, 3442, 2901, 2387, 29791, 319, 610, 2387, 17387, 319, 563, 453, 265, 19805, 2387, 29791, 319, 5932, 513, 2661, 4276, 547, 519, 2707, 1239, 1510, 13936, 513, 5299, 3330, 519, 7457, 6538, 563, 453, 265, 19805, 2387, 17387, 319, 12215, 519, 5697, 1239, 883, 513, 1007, 3349, 1369, 519, 7457, 6538, 563, 276, 269, 10934, 4610, 14013, 543, 14574, 2436, 2212, 619, 2291, 1369, 519, 9185, 3561, 563, 277, 269, 17797, 1239, 2010, 543, 1305, 4994, 539, 3681, 607, 2877, 563, 278, 269, 16440, 20558, 585, 2104, 19074, 630, 28436, 1916, 279, 269, 5623, 16865, 1239, 547, 6166, 6111, 543, 1264, 28467, 780, 2162, 14871, 10055, 5004, 543, 18983, 3827, 692, 31572, 3593, 6589, 543, 4259, 3617, 27704, 5849, 602, 1152, 17101, 10986, 723, 1569, 547, 6213, 1239, 269, 1677, 4383, 3755, 538, 7457, 1384, 272, 269, 13782, 622, 547, 519, 2387, 291, 520, 15390, 13088, 319, 9184, 563, 273, 269, 8564, 2387, 27165, 543, 6828, 18983, 3827, 319, 896, 2387, 16966, 6513, 319, 563, 274, 269, 5410, 610, 12189, 3755, 607, 2838, 563, 275, 269, 25849, 5107, 543, 7222, 22864, 563, 276, 269, 5590, 10957, 4170, 543, 1163, 19418, 4507, 563, 277, 269, 18554, 6165, 20743, 21237, 547, 3713, 19035, 2534, 780, 2691, 26587, 10479, 2157, 267, 2015, 1739, 519, 6240, 540, 2547, 17979, 1765, 21671, 3651, 6190, 1569, 2924, 2556, 585, 1142, 1909, 547, 1685, 741, 2816, 11645, 269, 901, 6971, 519, 1981, 540, 23139, 2242, 610, 18532, 17351, 2238, 7133, 2565, 1239, 7221, 780, 2162, 4578, 16453, 1436, 9828, 692, 31863, 1944, 1239, 3322, 12180, 621, 883, 5094, 7515, 1759, 593, 6198, 29444, 547, 7413, 1239, 5918, 6473, 543, 21341, 7526, 269, 1635, 7311, 3339, 1436, 3741, 267, 596, 666, 11126, 4859, 2230, 267, 2087, 13214, 4398, 267, 543, 2226, 1239, 11007, 2066, 2789, 7515, 269, 1703, 616, 2185, 4922, 7608, 3339, 3029, 281, 3689, 16453, 4813, 630, 272, 22143, 1070, 5822, 16453, 4813, 630, 273, 22143, 1070, 12059, 16453, 4813, 630, 274, 22143, 1070, 543, 15196, 576, 4211, 15957, 16453, 4813, 630, 6195, 22143, 6393, 2414, 3035, 476, 272, 22143, 267, 2327, 602, 1169, 6241, 3568, 10570, 2418, 630, 328, 4318, 1421, 1100, 18110, 2516, 264, 543, 602, 2189, 1541, 13294, 630, 27146, 776, 10569, 264, 2291, 585, 1142, 2594, 269, 4329, 3339, 1125, 1239, 547, 3914, 2362, 3339, 3029, 676, 14874, 1098, 1438, 29444, 543, 4180, 2407, 6198, 21341, 1063, 1875, 268, 4486, 10305, 543, 11134, 10569, 780, 2162, 24410, 7632, 327, 17415, 5871, 12983, 4438, 4578, 16949, 692, 7628, 1239, 5610, 3646, 267, 596, 1522, 7237, 1896, 2591, 267, 1519, 1826, 7503, 6959, 267, 25314, 520, 3481, 2361, 13080, 267, 7745, 6402, 267, 29152, 539, 5638, 267, 543, 16789, 569, 3989, 3347, 269, 17372, 891, 2042, 18928, 998, 519, 1739, 4485, 1384, 272, 269, 7392, 23586, 8210, 5558, 281, 6744, 1239, 2010, 538, 1312, 519, 10278, 543, 2707, 7515, 282, 4188, 873, 9935, 1354, 12394, 2417, 5610, 3268, 563, 273, 269, 631, 1143, 520, 3481, 12197, 700, 9975, 281, 3525, 1518, 2361, 7306, 547, 6474, 1346, 1459, 538, 519, 2707, 1239, 610, 959, 15635, 622, 1279, 12673, 1141, 10858, 563, 274, 269, 7935, 5287, 25103, 281, 4676, 3306, 5532, 7515, 610, 9337, 4296, 16924, 952, 789, 1831, 23380, 1813, 547, 3758, 2619, 2242, 610, 12381, 538, 5007, 1239, 3889, 563, 275, 269, 2107, 23782, 539, 19475, 281, 19372, 1201, 22460, 8699, 10148, 1063, 2385, 543, 1126, 7515, 547, 2061, 5137, 540, 29152, 539, 5638, 1282, 1239, 24450, 610, 10311, 563, 276, 269, 8555, 704, 20556, 9502, 281, 7638, 1518, 2078, 8847, 543, 4188, 873, 952, 2556, 547, 2992, 4977, 12205, 1063, 954, 22366, 9988, 780, 14945, 4415, 1697, 4058, 267, 11056, 267, 543, 5826, 267, 10128, 1239, 689, 5007, 2959, 2488, 1713, 1871, 585, 2413, 4213, 5275, 29829, 4030, 689, 3309, 14449, 269, 16792, 1655, 2853, 13890, 538, 713, 1770, 2337, 20928, 32262, 267, 8190, 1239, 2298, 267, 543, 3986, 2949, 10721, 7607, 269, 0, 2237, 513, 3102, 543, 538, 3829, 1837, 593, 1412, 13480, 2897, 12229, 543, 10341, 3299, 3358, 585, 2852, 1053, 563, 2171, 616, 1603, 593, 3184, 1412, 28723, 18482, 2422, 8339, 769, 1880, 267, 3296, 1412, 10574, 5811, 543, 16949, 8339, 3503, 513, 1007, 1770, 11331, 1412, 18204, 7992, 4578, 689, 31072, 17796, 8339, 3371, 781, 930, 1257, 585, 6667, 281, 4578, 6740, 3544, 519, 1699, 6538, 568, 1572, 5007, 1239, 269, 24498, 1239, 949, 581, 1239, 602, 596, 4558, 538, 1776, 7457, 6538, 267, 610, 621, 949, 581, 1239, 602, 596, 4558, 538, 513, 21318, 540, 824, 3758, 12043, 269, 634, 1101, 1900, 538, 8744, 3544, 1239, 689, 9185, 610, 824, 3156, 568, 547, 5965, 519, 5007, 1239, 269, 1323, 23070, 949, 991, 547, 1711, 606, 2272, 543, 1683, 27704, 547, 2327, 602, 519, 1318, 1004, 723, 1569, 547, 519, 1239, 543, 602, 519, 1239, 1281, 711, 1439, 909, 538, 519, 4636, 3946, 269, 630, 2690, 1383, 267, 5520, 685, 14804, 1344, 1590, 581, 6854, 11613, 14804, 4700, 769, 606, 5007, 3611, 780, 2521, 547, 581, 1384, 268, 21004, 281, 3550, 1360, 2143, 543, 538, 3829, 3795, 540, 519, 2035, 563, 268, 12056, 281, 3503, 609, 606, 4081, 543, 2502, 3159, 602, 7380, 919, 1719, 563, 268, 11930, 281, 2422, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 2252, 972, 616, 6310, 7215, 946, 513, 2953, 17623, 311, 11249, 269, 1684, 711, 946, 2592, 543, 2057, 2606, 2453, 971, 607, 834, 342, 4372, 547, 713, 1770, 257, 693, 519, 4098, 610, 8753, 519, 1439, 269, 0, 3848, 476, 1015, 281, 6468, 781, 670, 15736, 543, 16844, 538, 519, 22505, 692, 1103, 3345, 3013, 267, 4672, 19735, 814, 1279, 1044, 2808, 513, 5256, 26730, 3990, 7328, 269, 1717, 267, 2053, 723, 4957, 256, 4653, 267, 649, 616, 7487, 811, 543, 811, 6690, 543, 2021, 561, 5217, 909, 741, 1236, 919, 543, 2921, 547, 519, 4672, 269, 901, 3184, 786, 6338, 596, 547, 519, 13858, 1158, 540, 2021, 781, 19735, 543, 5031, 922, 2956, 538, 5009, 4763, 1369, 519, 7328, 780, 4089, 476, 272, 281, 589, 16684, 3778, 540, 6468, 781, 10979, 670, 15736, 692, 296, 576, 19735, 1500, 922, 16727, 26813, 538, 476, 4572, 271, 855, 1705, 711, 4183, 1022, 4775, 9845, 2394, 32210, 1296, 2663, 693, 519, 18491, 8457 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 288, 2199, 32082, 568, 21365, 5198, 538, 513, 1079, 851, 1576, 563, 298, 617, 328, 752, 5441, 2296, 7548, 808, 1563, 26186, 514, 3366, 519, 1101, 1362, 593, 13638, 543, 14360, 14940, 782, 519, 1259, 1394, 547, 519, 5072, 540, 519, 1480, 5198, 563, 14881, 2253, 476, 4335, 267, 1822, 1296, 3516, 609, 21667, 538, 4000, 543, 596, 4076, 575, 27198, 2911, 827, 9194, 3270, 543, 1287, 875, 2516, 540, 4630, 334, 18682, 16772, 9678, 2933, 543, 2919, 1114, 4162, 3034, 26364, 858, 514, 3081, 1010, 4081, 1445, 814, 1044, 5198, 538, 3013, 267, 543, 519, 2034, 11000, 786, 1445, 593, 5198, 607, 513, 1514, 4020, 538, 519, 2136, 2276, 563, 10527, 1523, 540, 1373, 3043, 814, 1044, 538, 13441, 269, 634, 2898, 3043, 15918, 871, 11008, 1436, 27524, 30315, 729, 11827, 827, 476, 4968, 267, 476, 1220, 1296, 3516, 267, 865, 621, 729, 2653, 585, 3043, 1004, 547, 2161, 602, 972, 779, 606, 6803, 1268, 267, 972, 779, 606, 968, 1278, 1268, 3034, 3891, 2798, 547, 519, 1974, 538, 1977, 1686, 950, 1082, 11082, 8593, 883, 519, 7121, 540, 968, 1492, 824, 3034, 2108, 28049, 267, 9456, 17417, 267, 6014, 1004, 849, 14201, 1406, 2141, 851, 540, 519, 3043, 7121, 269, 4634, 9721, 14201, 1406, 851, 540, 519, 3043, 7121, 2394, 4440, 1310, 13431, 296, 3034, 26364, 858, 514, 786, 3382, 930, 540, 519, 13346, 4441, 540, 5198, 538, 519, 2034, 11000, 1985, 3018, 269, 2334, 3580, 581, 476, 278, 533, 6230, 269, 13638, 693, 918, 617, 328, 752, 5441, 269, 0, 7628, 519, 476, 1708, 271, 30814, 5859, 267, 513, 3948, 676, 519, 19115, 4115, 11134, 267, 11835, 808, 3073, 27255, 267, 16079, 539, 2066, 2923, 9055, 543, 6949, 730, 609, 1082, 281, 968, 2005, 568, 711, 2614, 547, 711, 581, 513, 22457, 269, 1284, 1590, 581, 8362, 4550, 268, 2350, 626, 1848, 901, 605, 17474, 7012, 1406, 1175, 513, 2797, 18879, 269, 898, 729, 606, 14849, 1289, 547, 2962, 543, 513, 7096, 5813, 883, 519, 2295, 540, 1018, 3020, 10892, 1797, 563, 307, 16260, 267, 607, 513, 1523, 267, 1419, 8580, 999, 909, 519, 2856, 540, 1780, 1947, 16561, 610, 11972, 18312, 16752, 610, 2853, 1510, 13779, 269, 1717, 267, 538, 519, 2796, 540, 6848, 2152, 899, 10168, 267, 713, 4214, 4667, 13385, 269, 32641, 3884, 1406, 1175, 513, 18312, 21169, 282, 621, 779, 606, 26568, 1062, 602, 8589, 3278, 543, 28746, 922, 9601, 269, 769, 713, 1769, 267, 10892, 1590, 11457, 3564, 12809, 10343, 563, 18455, 8362, 4550, 268, 2350, 626, 1797, 19480, 909, 543, 21350, 6005, 707, 7106, 549, 1998, 950, 22166, 556, 1513, 922, 2212, 267, 2523, 538, 938, 2123, 21384, 269, 898, 779, 811, 982, 1175, 711, 10283, 538, 11830, 5367, 7391, 282, 621, 779, 827, 4259, 2312, 6302, 609, 1346, 1472, 596, 269, 4658, 945, 2170, 609, 596, 1058, 917, 602, 3541, 690, 2218, 1793, 2720, 899, 519, 715, 610, 674, 2262, 723, 1100, 1747, 538, 707, 4527, 269, 898, 779, 827, 2870, 606, 1604, 1141, 7292, 267, 4008, 267, 543, 4638, 18441, 1745, 2922, 267, 15197, 267, 543, 6870, 563, 297, 3073, 27255, 779, 3948, 9356, 513, 4514, 267, 811, 3742, 1620, 540, 10892, 269, 898, 5267, 602, 621, 779, 711, 2614, 547, 8806, 31831, 689, 22457, 3527, 610, 4978, 269, 6936, 10892, 7569, 2962, 269, 898, 7569, 602, 649, 1796, 1996, 1949, 543, 19237, 602, 3895, 22166, 563, 1103, 519, 6626, 12106, 540, 2486, 267, 8508, 3020, 10892, 1797, 649, 28487, 1996, 2462, 582, 787, 267, 4161, 7292, 28639, 267, 543, 24905, 548, 11528, 7130, 269, 1809, 621, 779, 849, 827, 519, 11029, 4948, 3527, 1107, 10912, 856, 513, 3659, 779, 11830, 5367, 24983, 267, 18997, 13951, 827, 824, 4529, 267, 610, 7586, 4328, 12790, 9739, 563, 763, 31672, 540, 2913, 11482, 633, 25856, 1472, 519, 3741, 540, 9844, 543, 267, 8197, 267, 10892, 269, 1809, 1934, 779, 606, 1898, 5168, 281, 589, 5963, 27031, 2486, 786, 711, 1107, 543, 1058, 711, 1107, 20496, 22166, 269, 901, 1522, 3280, 19433, 673, 267, 855, 950, 596, 2015, 519, 28746, 602, 22166, 1102, 26555, 267, 621, 779, 513, 9266, 18879, 269, 1677, 20496, 22166, 568, 547, 1450, 519, 1360, 25710, 4185, 540, 5191, 543, 9698, 547, 1332, 543, 535, 6856, 563, 18455, 2048, 2254, 22457, 685, 568, 513, 12809, 1533, 267, 543, 1247, 621, 779, 2556, 267, 621, 779, 711, 6190, 269, 9861, 8362, 4550, 268, 2350, 626, 568, 513, 7029, 547, 4161, 267, 1689, 267, 543, 22299, 513, 1158, 1141, 1169, 1367, 568, 24565, 711, 676, 741, 2960, 2681, 855, 676, 741, 1915, 543, 3527, 563, 13825, 808, 3073, 27255, 779, 1289, 547, 581, 968, 26754, 4550, 268, 2350, 626, 892, 7012, 1406, 1175, 513, 5859, 5048, 269, 898, 779, 513, 15400, 5692, 267, 543, 621, 779, 693, 519, 4295, 540, 1018, 621, 1797, 547, 5963, 1871, 10892, 538, 938, 2486, 563, 2414, 1628, 513, 1158, 540, 3020, 10892, 267, 649, 1590, 11179, 1796, 1996, 519, 20224, 540, 22166, 269, 8307, 1287, 666, 649, 4126, 547, 1711, 513, 2486, 1141, 1169, 1367, 29263, 538, 519, 32689, 1769, 540, 5191, 267, 9698, 267, 543, 8994, 2463, 269, 0, 288, 15682, 540, 3730, 3615, 1336, 593, 519, 1357, 585, 3450, 13174, 563, 288, 2370, 1447, 834, 9418, 3734, 257, 982, 634, 17361, 540, 519, 17807, 543, 10713, 7051, 267, 18562, 267, 713, 2450, 6476, 540, 3388, 568, 4440, 811, 4277, 547, 930, 1053, 269, 623, 640, 972, 781, 1100, 4336, 593, 621, 563, 280, 4864, 476, 1001, 274, 22478, 281, 476, 1839, 5988, 476, 1001, 275, 454, 8138, 2466, 513, 15494, 547, 713, 3095, 1923, 6435, 5447, 713, 3095, 547, 29517, 9119, 28924, 629, 4926, 5447, 713, 3095, 547, 634, 8241, 15099, 454, 27645, 267, 946, 519, 10374, 17372, 563, 1607, 2110, 2232, 786, 3142, 596, 1394, 547, 713, 2985, 269, 898, 568, 10156, 547, 2328, 538, 6054, 547, 4704, 713, 3095, 563, 2414, 946, 519, 8638, 4183, 267, 1101, 6178, 909, 585, 1863, 454, 528, 952, 2907, 10805, 267, 6178, 538, 454, 1692, 723, 596, 1031, 713, 3095, 538, 707, 4928, 286, 9523, 707, 3450, 2093, 610, 4734, 513, 2689, 827, 713, 3095, 563, 14294, 538, 547, 4734, 513, 6085, 563, 2467, 616, 1100, 8292, 585, 713, 3095, 269, 0, 7212, 2597, 2530, 568, 513, 1455, 3804, 585, 1082, 2043, 11451, 267, 621, 3085, 1406, 2097, 538, 513, 835, 20695, 1922, 1080, 22433, 4542, 269, 634, 2619, 547, 8236, 513, 2635, 2597, 2530, 568, 513, 2189, 3460, 602, 3340, 606, 1620, 540, 835, 779, 23141, 269, 1284, 786, 581, 7234, 519, 19070, 531, 540, 3608, 12485, 547, 2308, 585, 513, 3811, 2597, 2530, 3460, 563, 763, 19043, 540, 7195, 2331, 10791, 454, 288, 7059, 2732, 568, 7533, 547, 9561, 2597, 1072, 1176, 269, 898, 4016, 547, 519, 4616, 540, 8795, 1426, 538, 519, 1318, 17114, 269, 589, 7059, 2732, 2488, 519, 1560, 609, 519, 2565, 5567, 2877, 585, 1697, 8647, 1247, 29000, 519, 2597, 2530, 1184, 269, 634, 2732, 1058, 2270, 7850, 5666, 540, 2898, 9274, 267, 5613, 267, 5388, 267, 5946, 267, 543, 9600, 563, 8777, 1645, 538, 8617, 8447, 11644, 454, 16498, 5751, 1404, 513, 2629, 1909, 538, 8781, 4430, 9600, 543, 8477, 538, 519, 1560, 269, 1452, 13467, 3565, 3648, 547, 2597, 2530, 1247, 5355, 2949, 1560, 1072, 269, 11242, 971, 607, 10977, 267, 28185, 3101, 267, 19482, 267, 610, 1256, 1490, 7416, 6972, 666, 1106, 851, 540, 513, 2834, 3635, 20786, 563, 22134, 1674, 281, 589, 6206, 3281, 9426, 538, 13379, 13809, 454, 22134, 1674, 568, 1419, 15763, 267, 2943, 621, 4249, 513, 2629, 1909, 538, 519, 2597, 2530, 1184, 269, 25530, 606, 7850, 2179, 540, 1216, 3232, 8309, 547, 519, 3608, 8647, 540, 519, 10307, 267, 7393, 2597, 2530, 563, 27735, 540, 29615, 12930, 12619, 454, 288, 1372, 12930, 3207, 568, 1776, 3815, 602, 7506, 519, 2597, 2530, 1184, 269, 19768, 540, 6190, 3207, 666, 2014, 2597, 2744, 267, 607, 621, 7519, 338, 519, 1560, 779, 10307, 267, 3056, 547, 519, 28537, 4616, 540, 1648, 563, 31572, 13262, 20946, 454, 763, 2702, 547, 4383, 2566, 568, 606, 1271, 2460, 585, 1346, 1032, 940, 585, 2635, 2597, 2530, 269, 4400, 3613, 816, 2157, 666, 1291, 547, 2799, 26351, 585, 14432, 1426, 267, 8754, 3056, 547, 2597, 2744, 563, 19931, 2597, 2530, 3322, 513, 4999, 540, 2853, 602, 5097, 1331, 513, 7059, 2732, 543, 2834, 2168, 2238, 269, 4033, 2188, 971, 607, 519, 6981, 540, 7850, 1216, 267, 6190, 3207, 267, 543, 519, 2359, 540, 2566, 616, 8449, 1271, 269, 3117, 29548, 568, 849, 1883, 547, 8236, 3811, 2597, 2530, 269, 21150, 1046, 532, 593, 513, 2597, 2530, 3460, 568, 711, 1175, 827, 9561, 519, 4430, 6550, 855, 2713, 513, 8902, 543, 18668, 1272, 2949, 563, 268, 18043, 11150, 543, 13229, 9828, 547, 24665, 622, 13379, 13809, 543, 700, 846, 513, 12942, 27997, 569, 454, 268, 13028, 519, 4107, 13229, 11150, 585, 16797, 543, 12655, 13379, 13809, 454, 268, 476, 276, 13229, 15310, 13809, 11150, 281, 589, 18043, 6651, 454, 268, 1133, 557, 4979, 13229, 11150, 585, 21826, 853, 6729, 15310, 13809, 454, 268, 13028, 519, 4107, 13229, 9537, 540, 674, 8463, 585, 8838, 2711, 13379, 13809, 0, 1103, 2221, 779, 6385, 9687, 3059, 5251, 267, 519, 5769, 540, 12085, 630, 31166, 264, 6763, 693, 519, 21282, 540, 5969, 12967, 6639, 7760, 269, 14164, 1646, 2029, 814, 19117, 519, 1259, 649, 2170, 609, 938, 10450, 267, 1818, 621, 2009, 547, 1921, 1585, 3457, 543, 1949, 547, 519, 4950, 269, 901, 2376, 12538, 883, 519, 1158, 540, 14164, 1646, 267, 3695, 922, 4720, 267, 1883, 3334, 267, 3156, 267, 2591, 267, 543, 519, 3078, 2104, 602, 6013, 6619, 563, 763, 12472, 540, 14164, 4886, 5303, 454, 15900, 16610, 543, 3194, 454, 763, 1523, 540, 14164, 7389, 1394, 547, 519, 3735, 476, 736, 628, 2540, 267, 1141, 621, 729, 1101, 8268, 607, 513, 1259, 547, 32144, 3457, 585, 12957, 543, 1239, 5385, 269, 7216, 1382, 21490, 519, 1259, 585, 519, 1646, 540, 2596, 14164, 1949, 267, 4352, 7839, 10073, 729, 12042, 1229, 676, 6639, 7687, 563, 3849, 9330, 906, 538, 4045, 2032, 543, 9442, 16257, 338, 454, 7021, 519, 1296, 267, 7760, 538, 2792, 4066, 267, 971, 607, 15261, 19712, 267, 29402, 267, 543, 10408, 5121, 267, 723, 1044, 15747, 538, 4412, 2454, 14164, 1646, 4464, 269, 1452, 14479, 3681, 4847, 3457, 547, 5968, 16900, 543, 7561, 267, 14123, 519, 2208, 540, 14164, 3156, 2066, 1585, 6080, 563, 7659, 22020, 540, 14164, 4886, 5303, 454, 306, 839, 832, 543, 2920, 340, 2209, 454, 4263, 519, 2295, 540, 14164, 1646, 2029, 616, 8596, 543, 27103, 2209, 269, 11576, 832, 2445, 1239, 689, 519, 4478, 1604, 267, 1247, 27103, 2209, 5512, 3457, 547, 1491, 2962, 1759, 593, 602, 1239, 269, 1452, 3334, 1404, 513, 2629, 1909, 538, 1818, 3457, 5100, 543, 17841, 267, 8108, 519, 5748, 540, 14164, 3435, 563, 31166, 15107, 13257, 543, 13192, 7896, 454, 31166, 5867, 543, 6531, 2533, 1683, 519, 5989, 585, 5883, 543, 7421, 519, 5318, 2179, 540, 1239, 6383, 676, 14164, 3457, 269, 1452, 5867, 2709, 513, 2039, 540, 2934, 267, 1519, 1239, 4859, 267, 12642, 267, 543, 3354, 267, 1818, 621, 4443, 585, 4213, 543, 9367, 547, 1711, 5499, 14164, 3156, 563, 21104, 725, 540, 14164, 4886, 5303, 454, 27319, 23467, 543, 5851, 28290, 454, 31166, 814, 9927, 5321, 883, 5100, 267, 10562, 5624, 269, 3245, 5100, 27687, 1846, 543, 8654, 1949, 547, 5639, 19840, 17300, 20843, 267, 21427, 666, 1852, 1585, 3344, 540, 741, 5321, 20716, 267, 7393, 13418, 543, 1648, 4398, 563, 26581, 7434, 14164, 543, 19007, 454, 1103, 519, 4853, 5823, 267, 14164, 1646, 2029, 814, 13087, 519, 1523, 540, 12752, 476, 275, 269, 271, 267, 5807, 12957, 267, 16762, 5826, 267, 543, 1483, 6066, 5464, 540, 12227, 269, 901, 5610, 5688, 3278, 2504, 3157, 267, 4227, 29987, 543, 7393, 7607, 563, 10890, 3249, 543, 6481, 20905, 454, 31166, 4249, 513, 1713, 1909, 538, 519, 3782, 2872, 676, 1379, 532, 28707, 3457, 267, 6552, 3461, 5464, 267, 543, 7658, 25924, 3435, 269, 901, 2029, 2636, 3782, 4648, 547, 6895, 2550, 685, 4105, 4191, 543, 1072, 2175, 689, 513, 3845, 267, 5355, 3461, 4093, 543, 10333, 547, 1416, 563, 9558, 1636, 566, 543, 12829, 20079, 454, 31166, 779, 1764, 593, 6283, 568, 10423, 998, 4448, 6472, 543, 5100, 6283, 1949, 269, 769, 5100, 4872, 267, 14164, 2029, 5688, 3278, 6808, 2359, 267, 3653, 2359, 267, 543, 1648, 4616, 267, 7700, 547 ]

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

[ 476, 5002, 271, 338, 267, 5156, 602, 1169, 2262, 538, 513, 6648, 1058, 3565, 547, 2870, 513, 2178, 3308, 3239, 585, 3988, 269, 2913, 781, 2263, 875, 789, 1705, 713, 1247, 1565, 827, 513, 4583, 22569, 626, 6648, 1572, 834, 1103, 513, 13749, 540, 519, 5450, 549, 257, 2854, 676, 26442, 571, 623, 895, 780, 292, 345, 571, 623, 895, 630, 6642, 276, 1700, 3192, 273, 264, 729, 606, 1977, 10564, 945, 5129, 513, 1713, 1909, 538, 5935, 2413, 3332, 269, 1261, 4941, 6965, 547, 1445, 593, 2312, 2592, 2864, 982, 7493, 2035, 610, 1950, 23199, 269, 1677, 3035, 713, 3804, 267, 646, 4553, 1614, 3741, 950, 21882, 9954, 1384, 272, 269, 6034, 2126, 540, 519, 1412, 2251, 9166, 14674, 3615, 610, 2833, 4010, 607, 789, 2408, 1510, 4946, 2123, 8369, 610, 4664, 563, 273, 269, 2422, 1100, 15988, 1663, 748, 2262, 281, 5272, 2582, 2262, 1590, 1293, 2509, 7393, 519, 3239, 563, 274, 269, 23531, 610, 7574, 8360, 281, 3962, 14235, 1058, 723, 11733, 543, 3280, 899, 2575, 780, 3086, 1577, 721, 4685, 883, 1620, 1010, 1034, 9976, 22569, 626, 6648, 267, 834, 1103, 513, 13749, 540, 519, 5450, 549, 257, 1384, 763, 15457, 819, 540, 891, 8188, 538, 519, 15624, 282, 8891, 1023, 593, 513, 6632, 267, 3109, 536, 965, 780, 1607, 2110, 6648, 814, 1152, 1079, 5220, 267, 5627, 1175, 476, 1691, 2241, 2943, 3532, 1913, 269, 2311, 1101, 16145, 267, 621, 949, 3100, 1932, 5618, 610, 14845, 267, 855, 3314, 1018, 649, 4121, 4505, 827, 22569, 626, 6965, 286, 898, 6663, 547, 7001, 513, 4090, 610, 6429, 10502, 543, 12667, 569, 269, 1924, 267, 1018, 1281, 623, 895, 1616, 721, 547, 19424, 1934, 2496, 5575, 7412, 281, 634, 2561, 541, 819, 540, 1452, 674, 2167, 538, 519, 18844, 323, 692, 303, 27348, 3054, 7555, 538, 513, 22125, 1016, 3118, 6728, 1282, 19060, 5662, 269, 4658, 7903, 2250, 1142, 824, 3533, 267, 9292, 11538, 547, 6952, 741, 14884, 269, 27933, 560, 782, 713, 14784, 267, 596, 5469, 1367, 8188, 8429, 676, 1107, 865, 1082, 1114, 7215, 267, 6502, 267, 6803, 885, 269, 2368, 8188, 1413, 13110, 267, 1866, 14126, 267, 19252, 267, 8049, 267, 14281, 910, 3592, 899, 15293, 569, 23079, 10393, 17729, 1287, 7106, 8960, 1354, 707, 4064, 269, 901, 568, 519, 1412, 1952, 541, 819, 262, 623, 895, 4016, 547, 780, 13553, 7412, 281, 8891, 1023, 593, 513, 22911, 267, 4563, 645, 965, 692, 13914, 827, 22269, 32395, 24968, 16559, 936, 513, 4158, 267, 4764, 27940, 8898, 7936, 3544, 1310, 513, 7088, 269, 18564, 875, 29535, 2299, 519, 2571, 11909, 880, 22554, 24968, 4334, 1996, 519, 22880, 14334, 540, 519, 6632, 8371, 269, 5994, 873, 9900, 2220, 11691, 538, 519, 30089, 267, 7444, 9991, 1524, 5196, 519, 2666, 2630, 780, 299, 9722, 519, 5565, 8625, 692, 1432, 13462, 891, 1079, 9583, 19635, 2592, 286, 1280, 623, 895, 267, 972, 781, 513, 16726, 1063, 11287, 2189, 1480, 8188, 24847, 3001, 1851, 21046, 543, 8098, 3931, 10347, 24968, 13735, 1055, 513, 3529, 18215, 269, 5637, 8320, 4125, 23644, 5898, 9624, 513, 20457, 540, 3586, 1689, 543, 3350, 269, 1635, 16046, 891, 1079, 2592, 267, 623, 895, 7512, 721, 547, 5660, 7904, 7566, 8090, 540, 1272, 543, 14719, 622, 741, 4644, 780, 12244, 5384, 2439, 8620, 2659, 13574, 22569, 626, 7313, 655, 1384, 272, 269, 7994, 513, 4259, 610, 3510, 1141, 596, 7747, 2789, 1919, 8345, 8195, 630, 3697, 513, 6288, 267, 19458, 267, 32041, 267, 3092, 28593, 273, 269, 3503, 1524, 1808, 7422, 2519, 593, 10444, 3877, 971, 607, 24738, 267, 4992, 267, 24462, 267, 16919, 267, 610, 4606, 563, 274, 269, 8564, 1079, 3982, 5396, 610, 10207, 689, 707, 4967, 543, 1265, 513, 4276, 1063, 873, 563, 275, 269, 14958, 513, 2110, 6648, 13830, 1312, 10207, 543, 10771, 741, 3838, 7907, 269, 5457, 547, 1832, 707, 1893, 5730, 543, 9004, 11991, 1913, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2414, 930, 267, 519, 6648, 1522, 2161, 811, 538, 922, 2497, 267, 607, 513, 8231, 1652, 4337, 626, 6648, 540, 27552, 1913, 982, 609, 1346, 27552, 1913, 269, 700, 262, 9209, 267, 476, 4489, 271, 5682, 28227, 1159, 18193, 593, 606, 4212, 22554, 12308, 267, 12724, 1117, 22229, 256, 1656, 4352, 519, 2511, 568, 16613, 267, 713, 568, 711, 693, 782, 1317, 621, 568, 23696, 267, 607, 26442, 571, 623, 895, 9727, 3362, 1369, 713, 960, 269, 1488, 7666, 2406, 519, 2295, 540, 519, 6648, 568, 711, 519, 1101, 1899, 267, 6862, 519, 2034, 267, 855, 519, 2790, 1184, 602, 6402, 519, 1079, 1927, 269, 769, 513, 13749, 540, 519, 5450, 549, 676, 26442, 571, 623, 895, 281, 12834, 543, 5811, 769, 513, 13749, 540, 519, 5450, 549, 3370, 538, 476, 4489, 274, 676, 26442, 571, 623, 895, 568, 519, 1655, 1383, 540, 22569, 626, 6965, 602, 3568, 1175, 476, 1691, 1913, 4389, 689, 13977, 3515, 799, 6813, 519, 8856, 540, 1893, 269, 634, 6648, 729, 1065, 11781, 539, 538, 623, 895, 781, 4015, 700, 755, 571, 538, 476, 4489, 278, 267, 543, 1586, 538, 519, 476, 4572, 277, 16320, 1108, 12287, 2801, 281, 634, 11814, 539, 31888, 540, 26442, 571, 623, 895, 267, 799, 16432, 1010, 2038, 840, 268, 1568, 563, 8340, 2959, 281, 2443, 5788, 5788, 5788, 5788, 2904, 476, 1220, 280, 634, 6648, 729, 1101, 3370, 538, 476, 4489, 274, 543, 568, 2808, 835, 540, 519, 3056, 1093, 324, 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, 594, 4312, 2141, 1044, 606, 13476, 6857, 1268, 267, 865, 950, 1250, 7649, 6700, 649, 2322, 3859, 8440, 593, 938, 8122, 267, 594, 729, 4278, 2683, 269, 1284, 2661, 538, 13566, 14151, 267, 1310, 782, 267, 1141, 621, 4667, 899, 519, 3141, 568, 26124, 1032, 15778, 269, 9578, 267, 594, 6068, 519, 2856, 540, 4227, 938, 3327, 11640, 543, 9494, 2724, 593, 5201, 12014, 538, 519, 1279, 2196, 269, 898, 32131, 899, 513, 3094, 2914, 514, 2439, 2171, 1705, 938, 1382, 267, 31570, 930, 4648, 267, 543, 5555, 1185, 1346, 21743, 3109, 2281, 8704, 593, 938, 8122, 269, 3776, 1753, 2968, 835, 540, 519, 1906, 8075, 538, 519, 8378, 8508, 7791, 1648, 1107, 1945, 649, 3576, 11348, 538, 269, 3733, 13395, 1719, 538, 10357, 7888, 3435, 5921, 594, 1223, 23217, 2911, 827, 519, 2640, 540, 3859, 1379, 693, 12129, 6105, 1510, 1373, 15034, 540, 1373, 513, 16004, 630, 520, 2547, 267, 1034, 540, 519, 942, 6393, 2026, 585, 519, 3355, 5092, 267, 621, 7012, 1405, 4010, 10464, 267, 855, 1063, 2229, 15314, 543, 519, 9153, 540, 2539, 10626, 3790, 1524, 519, 1899, 267, 649, 5433, 1434, 827, 3001, 4464, 269, 1656, 30971, 267, 952, 4432, 517, 30073, 1223, 1628, 513, 9649, 6007, 538, 5245, 267, 15983, 649, 1223, 4383, 930, 31241, 641, 22425, 923, 267, 1318, 2496, 11039, 267, 1919, 4769, 1405, 979, 3833, 607, 12347, 607, 9709, 269, 1411, 1294, 267, 1247, 649, 941, 11981, 938, 834, 30236, 257, 543, 1582, 1606, 11211, 6197, 267, 972, 729, 1175, 835, 1966, 1765, 712, 3167, 1286, 6854, 12955, 693, 4351, 2053, 269, 2311, 1101, 267, 649, 2219, 6148, 621, 729, 3593, 5470, 282, 5310, 649, 14201, 1405, 12123, 621, 5265, 610, 6117, 7561, 2614, 269, 1809, 4166, 2614, 267, 649, 4362, 519, 27521, 3297, 891, 24858, 23659, 17313, 281, 938, 11537, 3859, 8440, 780, 2005, 5828, 856, 602, 1282, 8445, 4832, 3275, 267, 938, 3859, 1062, 1131, 5352, 4430, 1648, 3564, 1018, 938, 7622, 10057, 269, 10251, 267, 3079, 540, 11488, 602, 21045, 1394, 547, 519, 7470, 630, 553, 649, 4397, 1070, 938, 10626, 2754, 4956, 547, 5491, 721, 30779, 625, 829, 4893, 578, 3430, 16923, 269, 901, 2451, 721, 18843, 539, 609, 3063, 1379, 543, 1100, 1259, 547, 4558, 621, 3927, 269, 1306, 513, 1267, 267, 938, 3167, 6174, 8694, 909, 10438, 519, 24492, 267, 799, 6038, 3366, 547, 922, 16349, 27757, 780, 1607, 6397, 4729, 6335, 7142, 803, 547, 556, 29264, 519, 3020, 1871, 540, 7791, 1648, 2959, 899, 3859, 1379, 269, 17610, 267, 789, 2709, 3875, 5383, 267, 689, 4389, 8511, 3154, 5434, 547, 1761, 2816, 5137, 269, 1717, 267, 789, 849, 2097, 609, 2591, 1107, 2523, 950, 621, 2501, 547, 5883, 11385, 908, 3761, 543, 3747, 780, 1103, 24794, 1051, 267, 594, 7691, 602, 12561, 5710, 1963, 3340, 6297, 4058, 543, 11558, 1851, 1585, 8639, 267, 1519, 20848, 3549, 267, 22124, 267, 543, 6800, 2933, 269, 2755, 594, 1869, 3494, 538, 28006, 2509, 15777, 8925, 267, 1250, 1995, 6026, 803, 519, 2956, 540, 5466, 4052, 4145, 1354, 17259, 2212, 14140, 883, 1022, 27581, 1412, 13582, 262, 3070, 780, 4517, 9811, 267, 596, 914, 707, 6653, 1979, 653, 344, 594, 1631, 1378, 513, 10316, 1286, 269, 17926, 3268, 267, 1004, 267, 4816, 3268, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 18658, 616, 519, 5383, 543, 11393, 540, 7791, 1648, 2959, 888, 26794, 912, 272, 269, 24997, 1648, 2959, 616, 2973, 543, 798, 711, 3132, 8511, 9362, 610, 824, 5739, 5434, 563, 273, 269, 1358, 616, 10731, 543, 666, 581, 1336, 538, 1082, 1114, 3029, 267, 1519, 2842, 267, 3859, 267, 8652, 267, 543, 24232, 563, 274, 269, 1358, 666, 1711, 6009, 543, 5818, 2199, 11615, 563, 275, 269, 24997, 1648, 2959, 616, 1419, 811, 1942, 15807, 538, 519, 1279, 2196, 982, 1875, 3146, 2908, 762, 2959, 563, 276, 269, 1358, 666, 581, 18228, 267, 3246, 2199, 2950, 609, 811, 1852, 936, 741, 1648, 2504, 543, 4616, 563, 277, 269, 1358, 616, 711, 1641, 547, 519, 1482, 3902, 15088, 607, 1875, 3146, 2908, 762, 1648, 2959, 780, 11514, 23955, 912, 272, 269, 2368, 7791, 1648, 2959, 267, 971, 607, 2842, 543, 3859, 267, 616, 26740, 543, 666, 581, 31877, 563, 273, 269, 1358, 1419, 2154, 1804, 909, 12506, 9541, 267, 971, 607, 2679, 2842, 18434, 610, 16459, 3859, 8440, 563, 274, 269, 24997, 1648, 2959, 666, 723, 2942, 2825, 5222, 267, 971, 607, 2244, 946, 7526, 610, 2800, 547, 7320, 563, 275, 269, 570, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3008, 12458, 1377, 8535, 454, 19119, 540, 15175, 547, 654, 297, 4488, 661, 706, 336, 553, 454, 268, 2561, 24597, 1305, 1568, 1107, 9351, 540, 1353, 674, 454, 268, 2561, 24597, 1305, 1568, 910, 9351, 540, 1353, 674, 281, 20553, 519, 26062, 3689, 11416, 454, 268, 6657, 5999, 585, 19791, 540, 5530, 645, 454, 268, 6657, 5999, 585, 19791, 540, 5530, 595, 454, 268, 6657, 5999, 585, 19791, 540, 5530, 667, 454, 268, 1306, 2643, 320, 267, 11873, 476, 274, 267, 7338, 1520, 525, 454, 268, 8278, 560, 553, 1470, 689, 1306, 2643, 320, 630, 24171, 1520, 11726, 338, 264, 28042, 24143, 454, 268, 2561, 24597, 1305, 1568, 281, 20553, 519, 3828, 12351, 11416, 454, 268, 2561, 24597, 1305, 1568, 281, 634, 5375, 18190, 28673, 454, 268, 6789, 30334, 585, 9752, 454, 268, 589, 1377, 30334, 585, 9752, 454, 268, 11193, 16680, 902, 6789, 2200, 454, 268, 11193, 16680, 902, 589, 1377, 2200, 454, 268, 21642, 31763, 564, 630, 302, 16476, 4993, 264, 22123, 2142, 600, 880, 630, 21459, 6060, 994, 268, 21642, 31763, 564, 630, 302, 16476, 4993, 264, 22123, 2142, 600, 880, 630, 30672, 994, 5472, 6092, 10049, 454, 2171, 2709, 513, 2039, 540, 2326, 547, 1489, 519, 3450, 543, 1565, 540, 713, 28730, 563, 5970, 596, 2808, 519, 2640, 547, 707, 8998, 543, 1053, 538, 23072, 606, 4429, 5978, 5426, 476, 274, 27326, 5741, 28730, 630, 7968, 304, 264, 568, 513, 1863, 7555, 28730, 2139, 547, 1053, 538, 4429, 310, 297, 4488, 661, 706, 336, 553, 547, 7390, 8535, 4065, 5890, 334, 543, 28042, 20989, 1299, 30765, 4065, 2483, 1839, 543, 476, 2918, 5988, 1923, 5507, 454, 310, 297, 4488, 661, 706, 336, 553, 568, 20938, 547, 581, 11504, 519, 8535, 4065, 5890, 334, 593, 476, 1839, 4429, 11045, 15659, 7574, 4763, 454, 2171, 616, 20938, 547, 14773, 602, 938, 24194, 540, 6963, 539, 8535, 16551, 267, 585, 1101, 3450, 689, 4429, 14483, 654, 297, 4488, 10410, 2305, 454, 310, 297, 4488, 5170, 547, 1683, 1489, 543, 2866, 547, 782, 5177, 3506, 543, 12621, 3450, 938, 654, 297, 4488, 717, 4753, 8535, 20487, 269, 901, 28730, 5170, 547, 2196, 538, 4789, 2394, 922, 3803, 4879, 267, 676, 799, 942, 519, 654, 297, 4488, 661, 706, 336, 553, 20340, 786, 2907, 581, 2139, 547, 3506, 543, 12621, 269, 0, 763, 8366, 814, 1044, 11292, 538, 3210, 547, 623, 3198, 16598, 12788, 781, 6388, 543, 3811, 5106, 540, 513, 2189, 1344, 1062, 585, 2895, 1516, 267, 13629, 543, 4393, 540, 3618, 1062, 1239, 269, 23850, 547, 1489, 606, 7533, 2070, 593, 3618, 267, 713, 1344, 1062, 729, 3957, 1310, 519, 2706, 29657, 267, 9256, 782, 17407, 476, 1220, 28985, 1296, 3516, 281, 623, 836, 2801, 320, 563, 7628, 519, 2063, 5756, 519, 12588, 543, 8856, 540, 2645, 1031, 547, 3732, 543, 5659, 938, 3618, 723, 2799, 28354, 910, 609, 606, 26922, 2333, 538, 519, 4611, 1239, 3977, 269, 2311, 519, 1482, 942, 267, 519, 1344, 2029, 814, 1500, 1713, 8441, 267, 799, 1450, 4859, 267, 3892, 543, 4393, 540, 513, 5176, 19957, 2179, 540, 1239, 269, 3502, 21276, 609, 713, 3356, 568, 267, 2705, 267, 519, 1646, 540, 513, 1644, 2528, 585, 513, 4264, 6765, 540, 3621, 1239, 547, 2104, 1382, 454, 2005, 568, 1100, 3476, 15164, 547, 15476, 1239, 538, 12326, 269, 769, 19220, 540, 713, 267, 519, 12190, 4919, 2895, 1516, 540, 3119, 1239, 689, 3785, 543, 12326, 568, 1869, 711, 606, 7533, 851, 540, 519, 3621, 20104, 543, 3976, 1034, 540, 519, 1239, 616, 3478, 4503, 1247, 8800, 543, 3301, 616, 4657, 3533, 269, 4653, 713, 568, 2808, 547, 581, 835, 540, 519, 1034, 2629, 19518, 538, 2257, 269, 15316, 5238, 267, 13210, 543, 3486, 3906, 899, 519, 31232, 616, 4867, 1106, 6819, 7840, 585, 606, 4824, 1239, 2895, 1516, 563, 12552, 547, 519, 1489, 540, 32217, 296, 781, 2780, 8998, 267, 3744, 693, 32217, 296, 543, 27107, 9331, 1310, 1082, 1296, 540, 960, 941, 2111, 547, 1628, 513, 4264, 1344, 1062, 269, 623, 3198, 16598, 12788, 10378, 267, 607, 513, 8471, 1239, 5399, 267, 568, 849, 513, 8313, 1062, 543, 2636, 5610, 540, 1239, 538, 519, 3964, 1184, 540, 3621, 12326, 269, 4935, 623, 836, 2801, 320, 568, 606, 1344, 1062, 267, 799, 7512, 3744, 547, 11884, 21287, 741, 1239, 538, 606, 1930, 1569, 1604, 563, 7437, 513, 1134, 20452, 21107, 20104, 267, 519, 2895, 1882, 1239, 616, 1644, 547, 1022, 1344, 2838, 585, 922, 1620, 1373, 524, 3386, 543, 3015, 538, 12043, 1739, 3486, 4441, 269, 634, 5203, 1275, 540, 519, 1062, 2636, 519, 4859, 540, 1022, 9936, 689, 519, 5580, 5790, 1524, 883, 519, 2620, 3618, 12933, 267, 8720, 519, 2647, 2039, 540, 10459, 538, 2067, 9443, 269, 6987, 3555, 540, 1367, 29162, 689, 519, 11891, 568, 13087, 998, 513, 1239, 23999, 267, 799, 267, 607, 851, 540, 519, 623, 3198, 16598, 12788, 10378, 1062, 267, 2488, 519, 5943, 585, 6061, 1007, 3621, 2055, 1644, 547, 938, 3618, 563, 24687, 585, 3798, 6002, 281, 2659, 3346, 1268, 693, 519, 21238, 654, 1122, 10273, 4659, 568, 3220, 30567, 525, 23108, 2041, 630, 7483, 281, 1341, 5392, 476, 5325, 272, 476, 4366, 274, 272, 268, 14338, 271, 267, 4757, 281, 30567, 525, 14371, 549, 2041, 287, 25596, 19709, 1040, 2659, 3346, 1268, 538, 519, 1857, 1894, 8257, 568, 681, 2788, 10162, 1815, 615, 339, 630, 7483, 281, 1341, 5392, 270, 5325, 272, 270, 4366, 274, 272, 268, 12739, 271, 282, 4757, 281, 4757, 11333, 2593, 1916, 763, 21238, 654, 1122, 10273, 4659, 11438, 856, 1382, 538, 519, 11848, 543, 21303, 607, 1134, 607, 538, 519, 1164, 543, 4571, 20173, 12084, 269, 634, 20576, 10974, 4436, 8701, 1382, 543, 2306, 2139, 547, 3486, 2257, 1271, 5989, 267, 552, 3052, 269, 519, 1382, 4672, 3691, 6033, 834, 303, 6897, 560, 1716, 257, 543, 1382, 10473, 538, 519, 11848, 543, 21303, 269, 32217, 296, 568, 835, 540, 476, 1428, 1382, 18013, 1369, 519, 29581, 3128, 16379, 5025, 1087, 27937, 267, 5125, 781, 4102, 3621, 3919, 563, 763, 27107, 9331, 6663, 693, 19586, 1782, 519, 1909, 540, 519, 12084, 538, 519, 3047, 781, 1062, 676, 14139, 1533, 6361, 7308, 19603, 2409, 269, 898, 12116, 519, 4644, 540, 519, 12084, 1369, 519, 5943, 540, 2518, 1689, 267, 3067, 5809, 4205, 1063, 519, 7286, 2520, 14459, 543, 1979, 14459, 267, 543, 2488, 1344, 585, 513, 4264, 946, 540, 519, 5836, 563, 312, 10224, 26284, 543, 18536, 18703, 3094, 16101, 585, 519, 6602, 540, 1079, 2860, 8290, 454, 1691, 269, 6734, 269, 1001, 278, 1923, 3619, 9220, 268, 26536, 28059, 7671, 31060, 993, 6301, 454, 289, 11586, 293, 7616, 585, 3987, 1382, 593, 18558, 13863, 454, 5400, 269, 6349, 269, 1001, 278, 1923, 29581, 3128, 16379, 2098, 550, 5300, 28228, 333, 7770, 910, 1546, 7491, 2583, 674, 832, 577, 31258, 345, 550, 5300, 24166, 717, 525, 1495, 15241, 3768, 772, 332, 342, 3881, 454, 22349, 1258, 12002, 689, 12844, 333, 543, 570, 2246, 29118, 538, 774, 1005, 807, 630, 30051, 264, 1031, 519, 476, 1911, 2173, 5925, 16263, 693, 20306, 1564, 6199, 547, 7747, 1896, 14925, 13421, 269, 2311, 519, 8728, 540, 891, 1804, 7213, 2827, 540, 4158, 2339, 267, 24974, 1949, 630, 6549, 1314, 625, 1070, 3905, 3154, 267, 543, 9901, 5536, 267, 789, 1336, 6419, 4610, 602, 616, 24215, 10288, 936, 9883, 540, 1082, 2929, 1769, 1296, 269, 901, 2306, 873, 519, 1034, 6905, 6419, 4610, 538, 519, 7122, 1634, 865, 2484, 563, 763, 2164, 786, 581, 3370, 593, 4728, 476, 2420, 538, 519, 4760, 29770, 22349, 25348, 1299, 8330, 5268, 12695, 2108, 563, 29727, 25404, 13421, 616, 519, 4102, 28040, 2787, 958, 3808, 3889, 538, 519, 7122, 269, 2060, 513, 6093, 6708, 540, 827, 476, 1015, 2929, 1769, 1296, 267, 1775, 4318, 269, 476, 1911, 2053, 519, 2483, 12867, 693, 519, 3619, 9220, 2160, 7671, 31060, 267, 1927, 609, 4891, 689, 519, 2160, 540, 570, 6686, 6883, 523, 538, 5125, 543, 10348, 6307, 2160, 607, 1134, 607, 14731, 595, 4459, 4659, 689, 5507, 630, 20084, 264, 723, 2919, 513, 3209, 2029, 547, 21264, 519, 5728, 21866, 514, 3009, 563, 308, 321, 19891, 514, 568, 513, 1507, 3940, 602, 666, 581, 5532, 547, 824, 10408, 5946, 267, 7551, 9013, 543, 1110, 6819, 741, 3252, 269, 634, 13613, 4386, 538, 1082, 2483, 1103, 519, 18163, 3406, 585, 1985, 5108, 1164, 3887, 11797, 3859, 2281, 543, 27178, 267, 3744, 693, 11968, 1325, 32115, 2817, 12524, 543, 741, 4891, 616, 2870, 2483, 22068, 6625, 23282, 19298, 616, 6094, 267, 1079, 8820, 6106, 609, 11108, 1904, 29741, 3055, 3601, 1360, 2147, 547, 1346, 540, 22130, 269, 1325, 18464, 267, 519, 23282, 19298, 616, 1447, 7123, 269, 3767, 3173, 693, 519, 14502, 2160, 540, 22540, 630, 307, 9331, 264, 723, 267, 585, 519, 1101, 942, 2479, 267, 3812, 513, 12432, 1570, 9256, 13339, 23282, 19298, 543, 513, 12249, 602, 568, 1312, 11158, 15033, 543, 2653, 547, 1184, 269, 901, 6770, 519, 3744, 513, 1713, 1900, 6251, 547, 4853, 3156, 899, 8465, 10525, 543, 6337, 839, 832, 563, 22068, 6625, 23282, 19298, 616, 6094, 267, 1079, 8820, 6106, 609, 11108, 1904, 29741, 3055, 3601, 1360, 2147, 547, 1346, 540, 22130, 269, 1325, 18464, 267, 519, 23282, 19298, 616, 2483, 5319, 10192, 13789, 8335, 538, 513, 1449, 8546, 3379, 609, 519, 7636, 32727, 540, 513, 2713, 1591, 269, 6314, 1235, 689, 519, 2160, 540, 30239, 723, 1631, 1044, 2111, 547, 18082, 891, 16876, 2067, 2175, 538, 5841, 5738, 2873, 585, 519, 1101, 942, 269, 1306, 4080, 538, 519, 4081, 4760, 9540, 267, 519, 2164, 616, 5356, 1732, 5813, 883, 519, 1646, 540, 6289, 648, 716, 832, 543, 5841, 31759, 563, 5319, 10192, 13789, 8335, 538, 513, 1449, 8546, 3379, 609, 519, 7636, 32727, 540, 513, 2713, 1591, 269, 6314, 1235, 689, 519, 2160, 540, 30239, 723, 1631, 1044, 2111, 547, 2483, 736, 269, 6734, 269, 1001, 278, 1923, 7926, 5240, 454, 1691, 269, 6734, 269, 1001, 278, 1923, 7926, 5240, 454, 5881, 269, 6734, 269, 1001, 278, 1923, 7926, 5240, 454, 2537, 269, 6734, 269, 1001, 278, 1923, 5020, 7070, 454, 2537, 269, 6734, 269, 1001, 278, 1923, 5295, 543, 15379, 7177, 454, 2537, 269, 6734, 269, 1001, 278, 1923, 3047, 7070, 0, 2791, 616, 6117, 2059, 606, 14542, 4155, 267, 1210, 707, 9682, 12445, 547, 1265, 707, 1259, 269, 1809, 15931, 2029, 538, 707, 1286, 568, 849, 9477, 519, 8905, 267, 3168, 693, 519, 14099, 267, 543, 14232, 536, 1742, 543, 28963, 269, 898, 814, 1344, 593, 8009, 9420, 9634, 267, 546, 2354, 538, 519, 4155, 267, 543, 811, 269, 700, 9722, 883, 824, 538, 21307, 12616, 2792, 1949, 267, 621, 666, 1256, 5968, 609, 824, 6472, 538, 519, 25610, 563, 1607, 568, 519, 2104, 540, 538, 21307, 7851, 267, 2469, 1259, 3564, 8846, 543, 10024, 519, 7997, 540, 3742, 9651, 7020, 269, 898, 568, 835, 540, 519, 1883, 22204, 540, 519, 623, 3725, 309, 7728, 1788, 563, 303, 3725, 309, 7728, 568, 519, 4102, 4155, 3106, 1382, 11036, 2479, 9250, 538, 2342, 267, 609, 513, 6578, 540, 936, 24843, 2004, 2929, 543, 476, 6321, 4891, 269, 898, 814, 513, 3376, 267, 855, 3810, 14911, 10872, 540, 1382, 269, 589, 18797, 3785, 1445, 593, 1808, 4155, 3106, 2152, 267, 855, 782, 3785, 1489, 543, 3049, 883, 1142, 824, 538, 930, 1259, 269, 898, 1797, 519, 1764, 568, 3152, 982, 519, 2040, 540, 922, 2694, 543, 4891, 563, 31778, 306, 261, 4696, 3008, 568, 513, 1390, 1383, 267, 2324, 593, 1646, 267, 4152, 543, 15418, 540, 3106, 10276, 327, 2331, 3059, 7851, 267, 543, 519, 5137, 540, 513, 3044, 8818, 585, 606, 5084, 3008, 630, 28723, 30905, 26859, 3590, 264, 547, 5512, 15324, 3106, 3156, 563, 2005, 4992, 513, 5023, 995, 267, 855, 621, 568, 2731, 513, 1360, 17715, 1383, 540, 1210, 4540, 2200, 538, 1007, 2081, 547, 2333, 10342, 693, 1970, 3790, 269, 26243, 267, 519, 593, 4580, 2780, 18767, 519, 7851, 585, 519, 2048, 14588, 539, 9043, 685, 540, 519, 4155, 6619, 267, 519, 1318, 540, 1259, 543, 824, 1239, 563, 10527, 2079, 540, 1082, 3871, 666, 581, 13497, 4824, 676, 606, 4656, 540, 519, 4087, 2223, 3081, 4223, 628, 5362, 5576, 592, 2763, 267, 4717, 13541, 540, 519, 9167, 30845, 623, 3725, 309, 7728, 1788, 543, 18947, 15440, 585, 594, 4811, 1299, 7896, 693, 667, 2727, 2401, 17985, 269, 589, 2603, 540, 519, 1016, 3491, 915, 338, 3576, 5413, 540, 1142, 824, 779, 960, 267, 646, 6645, 23559, 11778, 269, 1280 ]

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

[ 1634, 780, 1892, 2876, 9999, 2303, 602, 267, 4849, 585, 9770, 267, 519, 14778, 616, 5266, 21136, 269, 1717, 267, 519, 27008, 585, 9770, 5267, 602, 972, 616, 1079, 856, 11502, 538, 519, 1239, 269, 5637, 540, 891, 856, 11502, 616, 538, 700, 17427, 8014, 337, 333, 563, 1892, 5565, 856, 11502, 666, 849, 581, 4857, 689, 519, 5119, 540, 14649, 13602, 563, 1892, 31203, 540, 519, 1079, 856, 11502, 2164, 538, 513, 811, 21136, 3892, 585, 9770, 780, 763, 2164, 540, 631, 3198, 23701, 666, 581, 6213, 547, 519, 4527, 540, 856, 11502, 269, 2290, 1935, 547, 12570, 713, 1131, 581, 547, 5659, 519, 1239, 7466, 267, 2899, 609, 519, 856, 11502, 543, 2899, 1510, 873, 269, 634, 2164, 949, 1287, 581, 3379, 585, 11007, 269, 634, 1739, 9382, 946, 782, 540, 519, 1239, 267, 1519, 519, 1079, 856, 11502, 780, 10112, 18870, 476, 273, 281, 634, 1239, 689, 782, 2516, 723, 1455, 13065, 2275, 20654, 766, 5119, 4399, 306, 7950, 16859, 1607, 13429, 666, 581, 13761, 1210, 19258, 27451, 781, 1449, 585, 4630, 23189, 540, 13065, 2275, 20654, 766, 14290, 269, 1677, 3489, 19258, 27451, 781, 1449, 267, 1577, 4399, 306, 7950, 3709, 328, 4151, 20301, 519, 2551, 13065, 2275, 20654, 766, 5119, 585, 1895, 1775, 1547, 6333, 4152, 1384, 259, 295, 318, 271, 315, 3712, 517, 1422, 306, 7950, 318, 272, 815, 1422, 306, 7950, 318, 273, 815, 1422, 25854, 815, 1422, 306, 7950, 14682, 6911, 28785, 560, 692, 259, 295, 318, 271, 315, 3712, 517, 1422, 306, 7950, 10983, 1422, 928, 1422, 306, 7950, 19553, 259, 585, 693, 2547, 835, 1269, 328, 1422, 928, 795, 6911, 15152, 519, 4244, 8367, 267, 693, 2547, 1079, 540, 519, 13065, 2275, 20654, 766, 14290, 8428, 593, 693, 2547, 835, 540, 741, 2609, 269, 2913, 1384, 7445, 10400, 346, 306, 20731, 328, 815, 1422, 13320, 346, 272, 2410, 333, 10983, 268, 272, 4153, 8999, 315, 3916, 1080, 3709, 329, 284, 272, 8703, 333, 10983, 4153, 10400, 18950, 312, 3709, 6359, 32757, 8663, 26635, 13925, 328, 269, 348, 7565, 312, 3709, 6359, 32757, 8663, 26635, 13925, 328, 269, 16585, 262, 10592, 6577, 1774, 519, 3732, 13065, 2275, 20654, 766, 5119, 585, 1895, 1775, 1547, 30770, 519, 7535, 539, 13065, 2275, 20654, 766, 5119, 692, 7445, 10400, 346, 306, 20731, 335, 815, 1422, 13320, 3189, 8999, 3709, 328, 284, 272, 8703, 326, 12917, 333, 10983, 268, 272, 9385, 10400, 346, 306, 20731, 328, 7346, 8999, 3709, 328, 284, 272, 8703, 326, 12917, 333, 10983, 268, 272, 264, 13157, 1422, 13320, 3189, 10400, 346, 292, 12453, 301, 3766, 10592, 289, 691, 27451, 781, 1449, 568, 1759, 593, 519, 1739, 1449, 18802, 1384, 259, 299, 262, 815, 524, 13375, 315, 18950, 301, 3766, 9385, 8421, 1923, 315, 10400, 346, 306, 20731, 335, 347, 910, 1422, 8999, 3709, 328, 284, 272, 8703, 326, 12917, 333, 10983, 268, 272, 9385, 8421, 24689, 10400, 346, 306, 20731, 328, 24689, 2431, 315, 10592, 3602, 519, 15494, 3815, 568, 692, 259, 322, 815, 476, 272, 10559, 13320, 346, 273, 335, 317, 273, 266, 274, 335, 268, 272, 2410, 277, 9638, 266, 272, 7565, 326, 268, 272, 264, 4153, 3847, 315, 3189, 8999, 29192, 3916, 1080, 346, 328, 284, 272, 8703, 326, 4153, 13320, 346, 272, 2410, 333, 10983, 268, 272, 32757, 13320, 346, 272, 2410, 301, 3766, 4153, 2431, 315, 10592, 763, 4528, 540, 19258, 27451, 781, 1449, 2808, 538, 519, 3992, 540, 519, 1079, 1606, 2217, 12182, 2454, 781, 570, 30026, 568, 513, 2027, 2013, 1141, 575, 815, 476, 273, 269, 7201, 519, 14275, 8367, 540, 24267, 13065, 2275, 20654, 766, 14290, 267, 700, 262, 568, 5111, 16584, 30026, 7856, 609, 692, 7445, 13320, 346, 272, 2410, 273, 348, 335, 9638, 266, 272, 7565, 326, 268, 272, 22491, 19592, 4181, 540, 5191, 269, 1234, 915, 1269, 295, 318, 271, 259, 693, 1377, 4399, 10401, 259, 952, 692, 259, 299, 262, 3436, 1422, 14024, 317, 273, 18155, 2765, 346, 272, 2410, 273, 348, 335, 9638, 266, 272, 7565, 326, 268, 272, 1070, 315, 10401, 10592, 7078, 476, 279, 268, 273, 281, 8000, 6670, 4578, 692, 8794, 590, 3008, 692, 2080, 649, 786, 946, 519, 8000, 6670, 590, 3008, 1982, 780, 8698, 519, 3381, 7778, 540, 519, 590, 3008, 3009, 780, 8794, 3687, 527, 629, 692, 300, 8181, 629, 5773, 616, 711, 3254, 14384, 780, 4322, 666, 581, 17411, 1210, 5773, 2907, 1634, 780, 26046, 692, 2171, 1265, 1100, 19250, 1713, 2963, 1996, 519, 14275, 8367, 602, 519, 13065, 2275, 20654, 766, 14290, 616, 24267, 630, 299, 262, 815, 476, 2767, 269, 6812, 282, 546, 8807, 269, 815, 476, 3393, 282, 533, 815, 476, 271, 269, 7176, 6393, 24687, 692, 1892, 1403, 649, 941, 547, 7947, 519, 14275, 8367, 540, 4630, 23189, 540, 13065, 2275, 20654, 766, 14290, 267, 1287, 649, 1131, 9959, 602, 13429, 476, 273, 568, 26991, 563, 1892, 631, 3198, 23701, 568, 711, 7347, 547, 19374, 540, 519, 13429, 540, 24267, 13065, 2275, 20654, 766, 14290, 563, 1892, 1403, 519, 13065, 2275, 20654, 766, 14290, 616, 5462, 547, 581, 21376, 1287, 519, 3070, 568, 547, 1265, 513, 13065, 3613, 8494, 1944, 7004, 563, 1892, 8074, 602, 519, 10054, 540, 24267, 13065, 2275, 20654, 766, 14290, 543, 1617, 21725, 2343, 1275, 616, 1419, 26991, 1927, 563, 1892, 4475, 267, 513, 3339, 1944, 7004, 949, 849, 581, 513, 13065, 3613, 8494, 1944, 7004, 780, 1496, 272, 316, 13017, 7602, 354, 13201, 15484, 339, 760, 270, 16954, 1478, 570, 17344, 548, 762, 6250, 2225, 0, 290, 5995, 692, 7726, 476, 272, 454, 13706, 513, 2780, 1062, 609, 513, 31632, 268, 5417, 816, 762, 3119, 3965, 540, 2450, 476, 22446, 2421, 5052, 269, 27539, 519, 2780, 1062, 814, 513, 1463, 2173, 11474, 21461, 540, 2450, 476, 3953, 22995, 630, 272, 22995, 815, 476, 13975, 2421, 5052, 1070, 543, 1142, 21461, 3625, 568, 540, 2450, 476, 5038, 25466, 269, 634, 2450, 540, 519, 11090, 2361, 568, 30269, 11353, 563, 589, 476, 1704, 454, 9223, 476, 272, 19247, 1384, 11693, 602, 519, 1292, 3965, 568, 476, 273, 317, 3953, 25466, 269, 1924, 519, 2168, 2232, 568, 476, 3953, 11353, 1279, 780, 7712, 621, 568, 513, 1463, 25528, 21461, 519, 2168, 2232, 568, 5258, 883, 1109, 4610, 607, 630, 307, 8980, 267, 700, 12114, 267, 5508, 12396, 4953, 6393, 290, 5995, 2450, 568, 476, 3953, 30641, 815, 476, 273, 317, 1428, 1635, 5052, 780, 28343, 2450, 568, 476, 5038, 25466, 815, 476, 273, 317, 277, 25466, 267, 865, 5508, 12396, 4953, 2115, 476, 277, 11353, 780, 10831, 540, 7161, 538, 519, 21461, 815, 476, 273, 317, 1428, 2260, 273, 317, 277, 815, 476, 273, 317, 280, 267, 1924, 700, 12114, 1297, 2115, 476, 280, 11353, 780, 307, 8980, 11353, 815, 476, 3953, 910, 476, 280, 910, 476, 277, 815, 476, 1704, 11353, 780, 7726, 476, 273, 692, 288, 2780, 1062, 814, 513, 476, 275, 298, 2262, 21461, 6896, 538, 3625, 1606, 564, 12431, 1539, 894, 1109, 2006, 1676, 609, 476, 275, 7161, 829, 1305, 267, 476, 5038, 1913, 829, 3625, 269, 634, 1297, 540, 922, 538, 519, 590, 4953, 30548, 654, 16704, 4610, 540, 519, 1292, 3965, 2232, 3898, 568, 1384, 589, 476, 1428, 267, 476, 2412, 645, 476, 277, 267, 476, 275, 595, 476, 278, 267, 476, 273, 667, 476, 275, 267, 476, 277, 454, 9223, 476, 273, 19247, 912, 5591, 269, 540, 5036, 815, 476, 275, 298, 270, 630, 5038, 9943, 275, 264, 815, 476, 18891, 270, 476, 2764, 815, 476, 2190, 454, 3383, 649, 991, 476, 275, 1305, 11353, 563, 4517, 2676, 5038, 1913, 829, 3625, 1797, 654, 16704, 3787, 568, 476, 277, 1532, 1080, 563, 7726, 476, 274, 692, 288, 1463, 25528, 21461, 3965, 540, 476, 272, 15406, 814, 513, 3625, 476, 1125, 540, 476, 16348, 25466, 269, 634, 21461, 814, 606, 1569, 942, 540, 476, 274, 562, 338, 543, 513, 5734, 2557, 540, 476, 11463, 10065, 4438, 513, 21461, 4413, 267, 621, 3217, 476, 736, 562, 338, 547, 3142, 519, 1101, 2262, 540, 513, 3625, 689, 519, 1292, 3965, 267, 1247, 1142, 7766, 2262, 3217, 476, 276, 562, 338, 269, 634, 2262, 2450, 568, 476, 5038, 11353, 269, 634, 3328, 3965, 1569, 942, 538, 562, 338, 630, 1037, 1055, 547, 476, 272, 8918, 1747, 264, 568, 21718, 780, 589, 476, 1724, 269, 276, 454, 9223, 476, 274, 19247, 912, 290, 5995, 1569, 942, 815, 476, 274, 562, 338, 454, 295, 527, 5223, 540, 21461, 815, 476, 271, 269, 11463, 454, 17504, 2450, 568, 476, 5038, 11353, 815, 476, 279, 25466, 563, 290, 5995, 1899, 2450, 815, 476, 16348, 25466, 815, 476, 3953, 1913, 454, 14611, 3965, 1569, 942, 815, 476, 736, 985, 263, 5503, 585, 1101, 2262, 264, 1341, 476, 14028, 985, 263, 5503, 585, 6967, 476, 4029, 1913, 267, 476, 4029, 265, 276, 815, 476, 14028, 985, 264, 815, 476, 11260, 562, 338, 454, 30182, 1569, 942, 815, 554, 272, 265, 339, 272, 1341, 630, 272, 3620, 272, 7565, 339, 272, 266, 339, 273, 264, 815, 512, 272, 1341, 263, 272, 3620, 272, 264, 339, 273, 454, 22382, 476, 274, 1341, 630, 271, 269, 6187, 7565, 11260, 264, 815, 476, 1724, 269, 276, 562, 338, 454, 7726, 476, 275, 692, 288, 2780, 1062, 609, 513, 2262, 3259, 540, 476, 3953, 11353, 814, 513, 476, 1626, 15406, 31632, 268, 5417, 816, 762, 1292, 3965, 543, 513, 476, 5038, 22995, 267, 476, 275, 17574, 1305, 1997, 894, 21461, 3965, 609, 513, 3625, 2450, 540, 476, 16348, 25466, 269, 6333, 519, 1739, 2185, 2168, 9607, 6719, 538, 15279, 1228, 31565, 10035, 780, 319, 589, 272, 815, 476, 271, 343, 5655, 290, 279, 288, 275, 267, 476, 589, 273, 815, 476, 271, 343, 276, 5379, 31229, 267, 476, 589, 274, 815, 476, 271, 343, 277, 288, 29579, 290, 267, 476, 589, 275, 815, 476, 271, 343, 276, 292, 4366, 279, 271, 2387, 692, 7617, 835, 540, 519, 1739, 568, 13138, 16604, 2496, 589, 589, 272, 543, 589, 275, 616, 25528, 547, 1114, 21461, 5036, 269, 645, 589, 272, 543, 589, 274, 616, 25528, 547, 519, 1482, 21461, 1305, 269, 595, 589, 274, 543, 589, 275, 616, 25528, 547, 519, 1482, 21461, 1305, 269, 667, 589, 273, 543, 589, 274, 616, 25528, 547, 519, 1482, 21461, 1305, 563, 9223, 476, 275, 19247, 912, 14611, 3965, 568, 476, 1626, 11586, 538, 2450, 563, 763, 2262, 3259, 568, 2016, 607, 476, 3953, 11353, 543, 519, 2168, 9607, 5018, 616, 782, 2270, 476, 277, 15279, 1228, 31565, 9704, 267, 865, 519, 519, 2168, 2232, 568, 476, 3953, 11353, 1279, 563, 28343, 2450, 568, 476, 16348, 25466, 267, 3625, 15558, 815, 476, 279, 11353, 607, 621, 568, 513, 31632, 2232, 762, 3965, 563, 290, 5995, 2450, 815, 476, 5038, 30641, 454, 10831, 540, 7161, 538, 519, 21461, 815, 476, 5038, 30641, 270, 16348, 289, 815, 476, 16348, 454, 2005, 568, 513, 476, 275, 17574, 1305, 1997, 894, 21461, 267, 865, 1100, 269, 540, 5036, 538, 519, 21461, 815, 476, 16348, 270, 275, 815, 476, 5038, 815, 476, 2918, 454, 1103, 519, 2168, 2232, 649, 991, 476, 277, 11353, 585, 519, 590, 4953, 1297, 563, 307, 8980, 11353, 815, 476, 3953, 910, 476, 277, 910, 476, 279, 815, 476, 1240, 454, 3383, 519, 476, 3953, 11353, 2168, 2232, 568, 5258, 607, 630, 1240, 570, 8980, 11353, 1341, 476, 277, 590, 4953, 1297, 11353, 1341, 476, 279, 5508, 12396, 4953, 11353, 994, 7712, 538, 782, 519, 3681, 649, 616, 4280, 827, 590, 4953, 2338, 540, 519, 2016, 9607, 267, 649, 991, 547, 1265, 519, 590, 4953, 1297, 540, 1142, 540, 519, 9607, 563, 288, 272, 815, 476, 271, 343, 5655, 290, 279, 288, 275, 267, 1934, 590, 4953, 1297, 568, 630, 876, 476, 1911, 271, 264, 799, 2882, 519, 2063, 476, 273, 11353, 540, 595, 263, 8099, 271, 264, 543, 9352, 6041, 540, 476, 279, 630, 1911, 271, 1916, 288, 273, 815, 476, 271, 343, 276, 5379, 31229, 267, 1934, 590, 4953, 1297, 568, 630, 1015, 476, 1911, 271, 264, 799, 2882, 519, 2063, 476, 273, 11353, 540, 476, 277, 263, 18733, 271, 264, 543, 9352, 6041, 540, 476, 279, 630, 1911, 271, 1916, 288, 274, 815, 476, 271, 343, 277, 288, 29579, 290, 1934, 590, 4953, 1297, 568, 630, 1015, 476, 1911, 271, 264, 799, 2882, 519, 2063, 476, 273, 11353, 540, 476, 273, 263, 9826, 271, 264, 543, 9352, 6041, 540, 476, 279, 630, 1911, 271, 1916, 288, 275, 815, 476, 271, 343, 276, 292 ]

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

[ 15410, 540, 10295, 543, 18624, 2665, 949, 581, 896, 331, 664, 676, 16220, 1759, 5778, 14545, 19260, 267, 543, 602, 9382, 540, 519, 3123, 540, 1981, 543, 8825, 2360, 689, 19010, 289, 272, 14726, 949, 1683, 1007, 4485, 547, 3797, 269, 0, 20082, 269, 27240, 1801, 538, 23639, 268, 1779, 531, 6541, 543, 8770, 8244, 941, 6594, 538, 476, 273, 590, 874, 1725, 636, 26730, 3990, 24435, 4133, 593, 519, 25878, 7969, 32595, 269, 28206, 2084, 9830, 540, 1034, 7777, 2609, 630, 25519, 273, 31956, 27002, 273, 31956, 631, 333, 273, 31956, 1325, 274, 266, 543, 13961, 275, 266, 264, 538, 31736, 1216, 8612, 513, 24482, 2539, 27614, 540, 7777, 27940, 559, 1216, 689, 519, 5594, 1295, 518, 582, 13116, 2175, 538, 519, 24435, 1633, 19114, 547, 522, 3387, 4088, 748, 2175, 538, 519, 3844, 851, 540, 519, 24435, 4133, 269, 901, 729, 17704, 1194, 676, 13302, 9830, 540, 11849, 267, 13557, 5860, 267, 6970, 267, 3171, 543, 267, 14356, 267, 631, 333, 538, 519, 24435, 269, 634, 8770, 13506, 267, 607, 3989, 676, 31736, 1216, 9830, 540, 715, 543, 623, 267, 729, 7361, 4830, 540, 519, 23639, 268, 30175, 6541, 13506, 281, 12971, 274, 268, 543, 18161, 6246, 268, 1185, 2147, 9830, 2429, 519, 13506, 267, 6466, 19760, 275, 266, 9830, 2799, 609, 2810, 31736, 21226, 9063, 269, 769, 4334, 267, 519, 24435, 8770, 13506, 14626, 3660, 609, 519, 23639, 268, 1779, 531, 6541, 13506, 267, 609, 2698, 9830, 540, 715, 543, 623, 13302, 689, 519, 14345, 547, 519, 8998, 269, 21563, 4451, 5052, 543, 15466, 2371, 1185, 1114, 6114, 2059, 519, 23639, 268, 1779, 531, 6541, 13506, 543, 519, 8770, 13506, 269, 21563, 4451, 974, 3892, 10630, 519, 23639, 268, 1779, 531, 6541, 13506, 1312, 538, 31736, 1216, 543, 538, 24435, 269, 966, 6018, 2030, 3892, 729, 5631, 6766, 676, 7648, 538, 8770, 8244, 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 ]

[ 17243, 538, 476, 1960, 273, 540, 519, 1101, 10785, 2479, 1336, 3544, 938, 3859, 1062, 267, 1631, 814, 4362, 609, 2836, 27700, 338, 5839, 773, 329, 23951, 871, 328, 519, 10545, 4541, 2943, 9571, 267, 514, 602, 1482, 2484, 268, 12537, 19236, 1062, 269, 8056, 619, 539, 538, 606, 6905, 6531, 540, 9357, 1242, 3154, 267, 519, 1007, 4541, 25057, 513, 6385, 18343, 23377, 5182, 1572, 513, 24421, 541, 269, 634, 6602, 267, 547, 581, 9307, 1282, 513, 2046, 10554, 693, 513, 5870, 7282, 19236, 5250, 543, 7020, 538, 1306, 5155, 267, 12548, 267, 593, 476, 278, 5988, 267, 11729, 606, 27314, 569, 2347, 6609, 540, 519, 24421, 541, 19236, 1062, 543, 25495, 602, 621, 568, 26526, 899, 513, 3368, 20695, 4528, 540, 938, 1378, 3859, 1062, 2443, 1256, 1498, 519, 5182, 891, 10785, 10739, 568, 3833, 1114, 689, 938, 6129, 563, 257, 8601, 519, 3665, 2175, 602, 1590, 723, 11478, 693, 519, 942, 891, 10785, 941, 8108, 267, 7186, 814, 7307, 547, 1711, 513, 19236, 1062, 602, 5654, 899, 513, 26987, 16365, 5299, 540, 938, 1378, 6418, 3859, 1062, 2437, 654, 11169, 345, 322, 345, 534, 5359, 269, 634, 5182, 693, 519, 4099, 540, 713, 1062, 568, 513, 24421, 541, 3957, 13662, 305, 645, 10219, 278, 266, 1321, 2443, 519, 5393, 10053, 543, 11741, 23377, 5182, 2451, 936, 689, 513, 7372, 5182, 602, 5747, 538, 513, 10795, 16411, 476, 272, 267, 4335, 1769, 1296, 2476, 538, 519, 26424, 5164, 2998, 563, 310, 11169, 345, 322, 345, 534, 543, 1010, 9164, 4505, 1185, 4362, 1614, 18714, 10785, 1472, 519, 24421, 541, 267, 609, 741, 25057, 538, 606, 3592, 3169, 8167, 547, 519, 838, 659, 902, 1063, 22358, 267, 19026, 267, 543, 3047, 269, 634, 9241, 4362, 8772, 4541, 814, 606, 10739, 5111, 3670, 2053, 3677, 982, 602, 540, 519, 3791, 4541, 538, 519, 1062, 267, 799, 23951, 871, 328, 3081, 568, 5863, 569, 2673, 547, 519, 3328, 3845, 689, 938, 6129, 547, 938, 3859, 1949, 20503, 12966, 267, 4092, 1063, 519, 25057, 540, 9370, 543, 18347, 563, 289, 16808, 4673, 918, 269, 17394, 1923, 31823, 2336, 14294, 881, 14688, 811, 7607, 538, 2475, 303, 22795, 454, 6187, 269, 1321, 269, 1001, 277, 1923, 29163, 268, 9743, 26623, 24166, 21558, 23855, 1731, 14889, 307, 454, 4537, 1901, 6927, 950, 1769, 10742, 11046, 454, 4962, 269, 1321, 269, 1001, 277, 1923, 10418, 585, 17747, 16370, 693, 519, 2817, 2160, 540, 14135, 454, 1103, 2487, 1296, 267, 22795, 609, 24318, 1662, 677, 20512, 630, 4785, 303, 264, 1524, 547, 519, 3185, 339, 846, 1718, 2039, 723, 1831, 3964, 593, 606, 4853, 4336, 269, 1358, 1223, 4434, 930, 3156, 609, 519, 1454, 2000, 7596, 539, 968, 322, 1245, 705, 3175, 892, 1107, 952, 602, 5921, 789, 1131, 1287, 3035, 811, 998, 1584, 269, 589, 1007, 5108, 540, 1184, 4702, 602, 786, 2232, 713, 3390, 538, 1880, 786, 581, 5941, 693, 519, 968, 275, 628, 5177, 303, 22544, 1107, 8299, 571, 9724, 21558, 5303, 892, 538, 4989, 476, 1001, 278, 563, 10214, 1394, 538, 519, 476, 1960, 271, 338, 267, 3744, 941, 9236, 2326, 4393, 609, 6289, 846, 1718, 267, 17552, 846, 1718, 543, 3185, 339, 657, 3150, 1718, 20512, 269, 634, 1267, 729, 9670, 281, 2483, 5970, 596, 2479, 9289, 875, 596, 1294, 519, 1158, 286, 17496, 568, 827, 22726, 540, 1769, 267, 799, 616, 21168, 540, 1648, 267, 15025, 609, 519, 8444, 610, 6675, 538, 1018, 2483, 288, 3818, 2987, 560, 6627, 1382, 5698, 814, 2813, 513, 3209, 1935, 585, 5958, 908, 1614, 8820, 2890, 19945, 9455, 998, 519, 3337, 20452, 5250, 540, 24338, 13339, 630, 4916, 328, 1070, 609, 3376, 5222, 538, 7471, 1904, 29741, 16361, 267, 9196, 267, 543, 22425, 923, 563, 22998, 609, 9164, 693, 18628, 543, 634, 22337, 11906, 7577, 267, 3173, 693, 519, 2160, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 29959, 476, 274, 5937, 536, 790, 325, 2590, 550, 2483, 1103, 6901, 609, 6419, 8444, 5342, 693, 5393, 1970, 5210, 267, 3744, 723, 7152, 513, 2189, 5123, 540, 2339, 281, 634, 8444, 1106, 513, 1007, 1826, 540, 7061, 5277, 610, 7061, 17366, 339, 1533, 269, 1452, 865, 1572, 7061, 20256, 949, 8190, 741, 1106, 538, 9000, 540, 5007, 30693, 1317, 540, 7061, 2360, 269, 634, 4745, 2319, 540, 8097, 21575, 689, 769, 985, 321, 30638, 543, 7811, 21575, 689, 30567, 1478, 1867, 593, 741, 4681, 538, 519, 4760, 8447, 5623, 2473, 563, 2108, 5978, 17747, 20256, 616, 538, 519, 3154, 5123, 855, 789, 1869, 6749, 899, 513, 4224, 2223, 6941, 8097, 21997, 25845, 8619, 12113, 331, 664, 334, 950, 6158, 827, 519, 2483, 763, 7665, 23851, 4659, 585, 8212, 630, 6573, 303, 264, 568, 6679, 909, 513, 1007, 1382, 2361, 269, 589, 13186, 689, 5437, 476, 2641, 910, 476, 2420, 267, 476, 1001, 277, 786, 1665, 519, 1376, 540, 2238, 585, 606, 5499, 4949, 542, 4603, 269, 16547, 687, 616, 1869, 1152, 17033, 19858, 5536, 269, 4256, 7020, 1223, 4194, 1079, 4909, 2042, 538, 9325, 6323, 281, 1548, 4158, 2339, 5161, 540, 543, 1946, 621, 814, 711, 2943, 1044, 2009, 547, 2047, 7747, 513, 8713, 18670, 585, 519, 2178, 5872, 563, 763, 968, 300, 4696, 7246, 311, 892, 1788, 568, 519, 12463, 303, 779, 7029, 547, 4949, 542, 1382, 269, 16547, 687, 616, 865, 2484, 1152, 513, 7811, 12605, 543, 616, 2352, 547, 3713, 281, 593, 519, 835, 1688, 31972, 1626, 269, 1556, 269, 1001, 277, 1923, 7926, 5240, 454, 4905, 269, 1556, 269, 1001, 277, 1923, 7926, 5240, 454, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 6187, 269, 1321, 269, 1001, 277, 1923, 10049, 7070, 454, 6187, 269, 1321, 269, 1001, 277, 1923, 6481, 7177, 454, 6187, 269, 1321, 269, 1001, 277, 1923, 5295, 543, 15379, 7177, 0, 1607, 12744, 2982, 3817, 476, 272, 1700, 273, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 563, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 24707, 9509, 11657, 454, 4462, 8971, 1540, 1257, 12744, 281, 5082, 1258, 5843, 2675, 2100, 590, 4932, 6970, 639, 894, 8665, 281, 29901, 14385, 1756, 21061, 21145, 281, 4551, 281, 8003, 2433, 29318, 269, 623, 17222, 636, 2433, 2920, 514, 27627, 269, 11352, 2433, 2920, 514, 3912, 322, 564, 2297, 4427, 4650, 281, 595, 800, 928, 321, 1461, 710, 2801, 7731, 2433, 29901, 27627, 576, 2801, 269, 2637, 639, 2433, 29901, 14385, 1756, 269, 15661, 2433, 21061, 8376, 281, 16515, 828, 17533, 267, 19505, 267, 6519, 12280, 267, 29283, 282, 631, 269, 645, 990, 529, 3361, 519, 2068, 538, 2831, 1101, 269, 2991, 519, 29143, 1709, 540, 2831, 630, 279, 267, 1822, 268, 275, 267, 1822, 645, 5861, 13776, 19505, 729, 4440, 10596, 547, 3425, 3842, 519, 4616, 540, 10800, 781, 5144, 269, 634, 2068, 2919, 538, 21475, 7232, 2202, 753, 945, 4440, 3262, 621, 998, 4955, 7992, 547, 654, 269, 2342, 543, 20195, 14901, 269, 1635, 476, 272, 267, 1822, 645, 5861, 1421, 519, 2068, 1185, 1044, 5645, 2429, 519, 3003, 1634, 1158, 269, 28871, 9715, 676, 11375, 2718, 519, 536, 26808, 269, 3412, 22861, 665, 20234, 668, 2213, 14747, 616, 811, 11630, 547, 570, 11065, 269, 543, 616, 9875, 547, 10826, 1210, 519, 1034, 1455, 2409, 269, 661, 3052, 269, 7606, 609, 15978, 949, 2760, 9156, 4628, 689, 570, 11065, 269, 5651, 874, 1108, 1299, 12896, 681, 311, 281, 4617, 569, 6121, 1341, 267, 1875, 2173, 582, 850, 267, 5418, 25806, 28795, 11425, 543, 606, 8078, 622, 7098, 12786, 269, 634, 22203, 1332, 7444, 630, 736, 5662, 610, 3476, 5108, 942, 1070, 3006, 1106, 2083, 14613, 543, 4043, 547, 1332, 538, 804, 7927, 269, 1358, 616, 28920, 11131, 609, 513, 1164, 20188, 1543, 269, 5662, 610, 3476, 5108, 942, 1070, 3006, 1106, 2083, 14613, 543, 4043, 547, 1332, 538, 804, 7927, 19601, 8698, 9509, 11657, 0, 289, 11035, 6844, 267, 590, 841, 528, 568, 519, 3803, 3209, 676, 1977, 5856, 670, 9007, 9253, 6807, 267, 1101, 454, 335, 21242, 3267, 18648, 16606, 543, 31495, 13133, 566, 540, 9253, 6807, 781, 4967, 2261, 1042, 454, 1492, 1101, 3370, 8747, 540, 4429, 299, 773, 23133, 13158, 743, 858, 324, 791, 19843, 835, 2443, 543, 1152, 835, 2443, 13743, 528, 267, 25381, 6844, 267, 945, 568, 454, 327, 7026, 547, 4196, 1010, 2197, 543, 3091, 1100, 1843, 687, 269, 1306, 646, 3762, 267, 646, 7125, 519, 4429, 22746, 513, 4137, 568, 519, 24732, 727, 590, 841, 528, 540, 454, 10472, 1650, 267, 6505, 31991, 25381, 6844, 267, 9907, 4429, 5804, 513, 2489, 5758, 547, 3184, 24096, 547, 3137, 540, 4583, 10530, 454, 267, 519, 27910, 24687, 25381, 6844, 267, 590, 841, 528, 5530, 6651, 814, 3388, 596, 991, 547, 513, 576, 4429, 289, 11035, 6844, 1353, 3391, 3568, 513, 12092, 540, 670, 9007, 9253, 6807, 267, 3332, 3594, 454, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 2407, 5758, 543, 2079, 563, 10403, 5758, 543, 2079, 540, 3848, 476, 272, 538, 670, 9007, 9253, 6807, 781, 25381, 6844, 602, 4465, 454, 1405, 1118, 596, 2879, 648, 269, 1284, 9153, 563, 10403, 5758, 543, 2079, 540, 519, 2621, 538, 670, 9007, 9253, 6807, 781, 25381, 6844, 602, 454, 342, 517, 1405, 1118, 596, 2879, 648, 269, 1284, 9153, 563, 28415, 5758, 540, 670, 9007, 9253, 6807, 781, 25381, 6844, 269, 552, 24687, 4729, 24096, 454, 16225, 782, 519, 1713, 2962, 540, 25381, 6844, 563, 4178, 269, 2532, 2593, 30819, 19834, 286, 336, 284, 5141, 858, 11872, 585, 25381, 6844, 261, 341, 284, 18444, 4962, 1177, 1485, 341, 308, 454, 11321, 476, 273, 267, 476, 1001, 271, 3267, 22994, 344, 16299, 910, 774, 1872, 11872, 12834, 543, 5811, 910, 30991, 281, 476, 275, 281, 2004, 269, 29216, 28755, 1188, 454, 18357, 267, 4649, 277, 5784, 269, 476, 275, 281, 2004, 269, 3883, 5623, 910, 670, 9007, 9253, 6807, 781, 25381, 6844, 4429, 5522, 582, 5758, 540, 25381, 6844, 676, 670, 9007, 9253, 6807, 269, 3487, 540, 513, 1863, 5530, 6651, 676, 0, 20082, 281, 12650, 1005, 21996, 2504, 814, 1044, 7771, 269, 24641, 267, 621, 991, 547, 2813, 676, 4999, 13830, 543, 2528, 21996, 267, 922, 2012, 4262, 8105, 269, 634, 6662, 540, 1353, 547, 1374, 2203, 540, 4262, 8105, 269, 634, 1267, 4951, 602, 2203, 540, 4262, 8105, 666, 948, 3375, 20536, 547, 1118, 9836, 543, 11455, 4640, 547, 1205, 10304, 563, 303, 523, 592, 529, 281, 3171, 4275, 14863, 328, 589, 4361, 267, 918, 611, 541, 9774, 1924, 1168, 31651, 267, 681, 758, 327, 2381, 667, 1695, 19441, 267, 5590, 807, 670, 14508, 267, 700, 4157, 344, 1520, 686, 27053, 454, 298, 1712, 808, 19012, 281, 795, 3899, 1731, 534, 663, 323, 271, 3445, 13199, 0, 20578, 518, 6796, 13378, 454, 7476, 10839, 1299, 1118, 32237, 454, 10932, 267, 7194, 267, 9978, 10803, 454, 339, 8962, 543, 2553, 1031, 538, 11050, 1382, 454, 16829, 11261, 281, 476, 274, 270, 2420, 270, 1001, 273, 476, 1015, 281, 6187, 281, 1015, 7537, 1923, 19715, 2433, 2136, 2276, 454, 16485, 606, 16869, 454, 10932, 267, 7194, 267, 12143, 6435, 267, 9105, 7726, 593, 3194, 267, 7194, 267, 5192, 8382, 267, 16869, 781, 6435, 267, 3194, 267, 7194, 9181, 687, 454, 2237, 4901, 593, 3194, 267, 7194, 454, 7312, 9708, 616, 15645, 730, 454, 2237, 707, 5048, 1934, 10756, 8794, 513, 642, 3317, 6516, 6218, 519, 5506, 267, 7726, 281, 630, 320, 264, 476, 1911, 967, 643, 2483, 9223, 281, 630, 320, 264, 476, 1911, 2043, 4294, 585, 1949, 25566, 7158, 609, 513, 1804, 6109, 1282, 519, 2250, 1032, 269, 476, 2412, 540, 873, 1185, 930, 1991, 960, 1995, 630, 310, 1070, 543, 476, 1789, 1185, 513, 1527, 525, 454, 7093, 28124, 5595, 4945, 538, 3239, 31728, 538, 1306, 335, 12991, 564, 267, 1215, 547, 2061, 5595, 804, 2483, 1692, 547, 2061, 5595, 4945, 538, 3239, 31728, 19601, 13434, 8816, 618, 1184, 1184, 4786, 267, 1548, 616, 519, 3268, 538, 513, 19684, 605, 806, 2483, 1432, 616, 519, 3268, 538, 513, 19684, 1184, 543, 945, 616, 3743, 585, 1142, 1900, 888, 30812, 819, 531, 5506, 267, 634, 772, 2529, 269, 4972, 540, 18815, 4080, 555, 320, 2483, 763, 772, 2529, 269, 4972, 540, 18815, 4080, 602, 1282, 5437, 267, 476, 10695, 269, 275, 260, 540, 25763, 5794, 6050, 685, 19426, 267, 476, 4037, 269, 272, 260, 540, 2475, 5794, 1811, 685, 19426, 267, 543, 476, 3583, 269, 272, 260, 540, 32591, 23325, 779, 19426, 8452, 593, 512, 454, 295, 539, 3101, 2073, 875 ]

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

[ 1488, 2151, 3474, 629, 7637, 269, 1358, 2161, 602, 519, 454, 4186, 847, 568, 4502, 8096, 272, 267, 1822, 267, 1822, 543, 786, 581, 6976, 538, 476, 736, 3888, 906, 540, 8096, 2004, 267, 1822, 454, 704, 1032, 4358, 835, 1032, 689, 1631, 543, 609, 835, 1007, 3888, 618, 1142, 454, 20204, 585, 1985, 476, 736, 1296, 269, 634, 4579, 3568, 513, 16083, 602, 18715, 646, 454, 15884, 1205, 782, 540, 519, 2724, 1256, 952, 646, 568, 13676, 543, 3112, 1404, 513, 2582, 3014, 563, 306, 7964, 5830, 17551, 602, 1488, 2151, 814, 1831, 606, 968, 13318, 656, 2929, 18311, 3034, 323, 3326, 1513, 1318, 1631, 568, 1175, 607, 1434, 607, 454, 9217, 264, 6271, 1259, 547, 5173, 519, 1459, 1871, 540, 8096, 311, 513, 1032, 11014, 568, 547, 454, 31236, 454, 328, 454, 328, 284, 272, 2473, 14370, 272, 1341, 678, 264, 1547, 901, 3126, 568, 1634, 454, 553, 513, 454, 613, 6248, 454, 338, 7685, 269, 24269, 678, 1299, 25885, 282, 476, 271, 267, 713, 2040, 568, 1134, 632, 16667, 2740, 454, 5416, 264, 1488, 2151, 779, 7015, 267, 674, 523, 19213, 267, 945, 14734, 1819, 538, 9297, 267, 6941, 547, 454, 6635, 2151, 602, 646, 568, 711, 513, 2929, 18311, 269, 769, 1249, 267, 1010, 4579, 568, 4502, 1447, 982, 454, 327, 2788, 513, 2929, 9489, 269, 11512, 538, 1913, 1946, 713, 568, 865, 563, 311, 29265, 563, 763, 1459, 1871, 540, 8096, 2004, 267, 1822, 513, 1032, 585, 476, 736, 454, 27203, 264, 1403, 519, 1719, 2557, 568, 476, 1015, 9077, 519, 1459, 1871, 540, 8391, 8096, 272, 267, 1822, 835, 454, 20204, 689, 1631, 786, 581, 267, 547, 519, 14282, 13362, 2676, 15478, 3445, 280, 563, 1432, 786, 581, 519, 2344, 3902, 540, 606, 23505, 540, 454, 26170, 8096, 5379, 274, 563, 1633, 888, 311, 29265, 454, 263, 2419, 269, 476, 1556, 994, 5475, 476, 1015, 1296, 563, 24834, 10663, 519, 538, 16667, 333, 924, 3126, 454, 663, 568, 3160, 547, 454, 19798, 4953, 27107, 17395, 4811, 454, 6357, 264, 14597, 602, 519, 8285, 4054, 798, 711, 723, 547, 581, 4421, 1310, 476, 1015, 454, 344, 8986, 267, 855, 1223, 581, 4421, 538, 1022, 1032, 269, 4256, 1871, 952, 789, 616, 2759, 1354, 454, 16269, 616, 476, 1015, 1296, 2025, 568, 4642, 269, 2991, 519, 4054, 616, 476, 1015, 1296, 2025, 267, 606, 23505, 540, 454, 339, 4181, 568, 4502, 8096, 272, 267, 1822, 543, 922, 1871, 786, 2333, 676, 8096, 1911, 829, 1032, 585, 519, 454, 10113, 476, 736, 1296, 269, 2991, 519, 4054, 616, 2759, 267, 519, 2244, 593, 799, 519, 4054, 11542, 454, 4754, 2141, 581, 4421, 585, 8096, 1220, 606, 23505, 269, 1879, 1058, 519, 4054, 581, 2759, 547, 454, 10946, 4476, 519, 1459, 1871, 540, 519, 11033, 4607, 585, 4054, 543, 2244, 888, 763, 1459, 454, 344, 8986, 568, 1447, 982, 8096, 272, 267, 1822, 267, 1822, 267, 2094, 519, 454, 7407, 540, 8391, 8096, 272, 267, 1822, 513, 1032, 11014, 267, 786, 581, 267, 547, 519, 14282, 13362, 2676, 30005, 1871, 540, 513, 13362, 4607, 538, 519, 454, 15478, 1015, 267, 1822, 563, 325, 1956, 568, 1447, 982, 8096, 272, 563, 17347, 264, 1403, 519, 1719, 2557, 568, 476, 1015, 9077, 1018, 568, 519, 1459, 1871, 540, 606, 10697, 602, 454, 7528, 2231, 596, 547, 2628, 856, 8096, 20862, 835, 1032, 689, 1631, 543, 786, 2628, 596, 1394, 454, 6635, 2151, 779, 2852, 1576, 593, 968, 306, 7964, 5004, 892, 4769, 1406, 3382, 1459, 454, 11161, 269, 1924, 1010, 7015, 6836, 547, 2601, 856, 519, 9819, 585, 1864, 269, 3371, 454, 529, 875, 621, 4422, 912, 15478, 272, 267, 13975, 1079, 1296, 689, 1631, 888, 4335, 454, 6629, 20862, 14370, 272, 269, 272, 264, 1341, 476, 272, 267, 476, 13975, 14370, 272, 269, 272, 264, 273, 21591, 6357, 264, 14597, 602, 519, 1719, 2557, 568, 476, 1015, 260, 543, 568, 4397, 547, 2611, 693, 454, 1015, 260, 11014, 269, 1215, 1454, 1131, 621, 1942, 519, 2319, 547, 4444, 1488, 2151, 513, 10419, 8462, 454, 7474, 1131, 2628, 1864, 543, 1010, 646, 15077, 8096, 272, 829, 1032, 11014, 267, 4358, 538, 476, 272, 1032, 888, 323, 3326, 1513, 563, 15478, 1015, 563, 1556, 269, 272, 630, 271, 264, 1323, 1858, 540, 2244, 814, 1044, 12630, 609, 8285, 4054, 269, 2201, 454, 20103, 476, 272, 267, 4557, 1296, 689, 1631, 267, 519, 4054, 786, 581, 4712, 585, 7556, 269, 2311, 454, 7474, 942, 267, 519, 7555, 8285, 4054, 666, 581, 4421, 585, 8096, 272, 267, 1822, 829, 23505, 563, 763, 2244, 267, 1310, 519, 4054, 723, 1044, 6569, 267, 786, 581, 4502, 8096, 1220, 829, 23505, 563, 2467, 616, 1100, 9204, 610, 5665, 9276, 267, 855, 849, 1100, 8907, 689, 713, 454, 1633, 2394, 519, 4054, 616, 19122, 269, 634, 1719, 2557, 568, 476, 1015, 18336, 6262, 264, 1215, 1454, 1131, 621, 1942, 547, 4444, 513, 10419, 8462, 602, 6976, 8096, 2004, 267, 1822, 513, 1032, 454, 1150, 591, 267, 4358, 538, 835, 1032, 286, 8096, 4335, 267, 1822, 563, 1103, 519, 2063, 851, 267, 596, 1336, 519, 1459, 1871, 540, 1488, 2151, 779, 4579, 454, 604, 646, 941, 2469, 547, 1205, 8096, 2004, 267, 1822, 513, 1032, 11014, 269, 1809, 1488, 2151, 568, 711, 2469, 454, 1729, 1205, 8096, 2004, 267, 476, 1822, 513, 1032, 11014, 269, 634, 11033, 3247, 1310, 476, 736, 1296, 269, 634, 454, 30005, 1871, 540, 1488, 2151, 779, 4890, 4579, 568, 519, 1482, 607, 519, 1459, 1871, 454, 1993, 513, 4579, 602, 17188, 1864, 8096, 2004, 267, 1822, 513, 1032, 11014, 267, 855, 2306, 1864, 2628, 454, 3724, 8096, 2004, 267, 1822, 1142, 1032, 267, 11014, 267, 4358, 476, 2641, 1296, 689, 1631, 269, 4475, 454, 9767, 666, 19509, 526, 519, 1459, 1871, 540, 1488, 2151, 779, 4579, 676, 18946, 519, 454, 5416, 264, 1548, 666, 649, 2503, 519, 2344, 3902, 540, 519, 2244, 547, 581, 888, 15478, 272, 267, 476, 1220, 14370, 272, 269, 272, 264, 1015, 3980, 376, 8096, 5379, 274, 829, 23505, 563, 2793, 10933, 454, 14681, 454, 13923, 454, 30005, 1871, 540, 8096, 2004, 267, 1822, 513, 1032, 11014, 267, 4358, 476, 2641, 1296, 689, 1631, 689, 454, 1492, 1459, 1871, 540, 8096, 2004, 267, 1822, 513, 1032, 11014, 563, 19798, 4953, 27107, 17395, 4811, 454, 5560, 264, 1403, 519, 1719, 2557, 568, 543, 786, 2611, 693, 476, 1015, 9077, 513, 6908, 540, 11033, 454, 1993, 8096, 2004, 267, 1822, 513, 1032, 267, 4358, 476, 2641, 1296, 689, 1631, 814, 519, 1482, 1459, 1871, 454, 553, 513, 26686, 2040, 540, 8096, 454, 344, 8986, 689, 1631, 563, 4335, 267, 1822, 454, 263, 2419, 269, 476, 1556, 994, 6357, 264, 634, 1079, 20485, 723, 849, 16618, 519, 4542, 585, 519, 1459, 454, 7407, 540, 513, 6908, 540, 8096, 272, 829, 1032, 4358, 1985, 1032, 543, 11173, 585, 918, 454, 344, 8986, 269, 1358, 3858, 547, 1289, 713, 1297, 590, 263, 298, 264, 543, 789, 1294, 602, 454, 306, 263, 298, 264, 21591, 1729, 581, 4607, 782, 693, 2899, 267, 4010, 476, 736, 454, 272, 454, 272, 454, 272, 454, 266, 3267, 30492, 563, 32504, 263, 272, 1341, 678, 264, 630, 272, 1341, 678, 264, 273, 454, 263, 272, 1341, 678, 264, 298, 454, 23178, 19080, 711, 1182, 602, 952, 1142, 540, 519, 11033, 3357, 476, 272, 1032, 4505, 2676, 1492, 1459, 1871, 540, 519, 4611, 6908, 540, 11033, 1131, 581, 454, 16216, 264, 1403, 519, 1719, 2557, 568, 543, 786, 2611, 693, 476, 1015, 9077, 1018, 568, 519, 1459, 1871, 454, 272, 32504, 1993, 8096, 2004, 267, 1822, 829, 1032, 11014, 267, 4358, 476, 2641, 1296, 689, 1631, 286, 8096, 4037, 267, 1822, 563, 263, 295, 842, 281, 634, 1459, 1871, 540, 8096, 272, 547, 581, 6976, 538, 476, 736, 1296, 568, 476, 272, 14370, 272, 1341, 678, 264, 736, 815, 1547, 1428, 8094, 6600, 3738, 3767, 5173, 519, 1459, 1871, 540, 1488, 2151, 779, 4579, 563, 23178, 4165, 527, 4185, 2798, 856, 602, 3432, 532, 909, 1022, 6908, 540, 11033, 454, 2421, 513, 1032, 568, 849, 6697, 547, 14921, 922, 1459, 1871, 676, 630, 272, 1341, 678, 1916, 21607, 1154, 741, 1079, 7422, 1927, 267, 519, 1079, 20485, 8068, 606, 454, 3225, 566, 602, 1223, 581, 12193, 585, 590, 263, 298, 1040, 901, 3830, 568, 590, 263, 298, 264, 1341, 476, 272, 6567, 454, 279, 269, 2004, 1299, 9392, 3248, 2004, 267, 476, 1822, 815, 8096, 28883, 267, 476, 1822, 563, 1556, 269, 274, 630, 271, 264, 7905, 19080, 568, 7138, 1782, 936, 519, 4542, 585, 519, 1459, 454, 7407, 540, 513, 6908, 540, 11033, 540, 8096, 272, 513, 1032, 267, 4358, 476, 272, 1032, 689, 1631, 543, 454, 11666, 5224, 11014, 269, 1261, 6487, 602, 519, 1871, 540, 713, 6908, 568, 6829, 454, 2421, 519, 538, 16667, 333, 924, 3126, 454, 306, 23751, 272, 454, 272, 454, 272, 454, 32504, 266, 10371, 1421, 454, 32504, 272, 1341, 678, 630, 272, 1341, 678, 264, 273, 454, 263, 272, 1341, 678, 264, 274, 454, 8117, 646, 666, 1406, 3314, 519, 5187, 328, 16667, 539, 4542, 585, 713, 2040, 269, 2353, 646, 6487, 454, 529, 602, 952, 519, 19509, 337, 560, 8569, 941, 547, 12446, 2221, 267, 2864, 982, 513, 1032, 689, 454, 852, 267, 519, 1459, 1871, 540, 519, 2040, 1131, 581, 8096, 272, 2362, 269, 1924, 646, 6487, 602, 454, 306, 266, 272, 284, 272, 32504, 272, 454, 272, 454, 272, 454, 32504, 266, 3267, 563, 32504, 263, 272, 1341, 678, 264, 630, 272, 1341, 678, 264, 273, 454, 263, 272, 1341, 678, 264, 274, 454, 272, 454, 272, 454, 272, 454, 272, 454, 266, 3267, 30492, 284, 590, 263, 298, 264, 1341, 476, 272, 6567, 454, 563, 32504, 263, 272, 1341, 678, 264, 630, 272, 1341, 678, 264, 273, 454, 263, 272, 1341, 678, 264, 298, 6629, 272, 454, 263, 272, 1341, 678, 264, 298, 454, 272, 454, 263, 272, 266, 337, 264, 298, 454, 23751, 306, 263, 298, 7565, 272, 1341, 678, 1916, 7474, 519, 4542, 585, 590, 263, 298, 264, 568, 454, 15612, 639, 454, 306, 6295, 713, 3830, 585, 590, 263, 298, 1070, 789, 19509, 526, 454, 306, 263, 298, 264, 815, 630, 272, 6567, 454, 272, 454, 263, 272, 266, 337, 264, 298, 3738, 270, 337, 563, 1556, 269, 275, 630, 271, 264, 1411, 616, 519, 1870, 9614, 540, 623, 269, 645, 684, 12505, 5983, 7370, 267, 5549, 1421, 543, 454, 732, 3843, 547, 6430, 950, 596, 1058, 2759, 707, 4054, 269, 634, 2344, 1871, 540, 454, 1492, 29421, 602, 596, 786, 1205, 952, 596, 1577, 707, 4054, 3914, 519, 2085, 540, 512, 1296, 454, 273, 454, 529, 2016, 676, 519, 1599, 654, 630, 339, 264, 815, 552, 269, 736, 339, 6629, 269, 9826, 339, 1547, 6004, 269, 645, 684, 12505, 666, 7118, 606, 454, 15517, 2557, 540, 476, 276, 260, 829, 1032, 593, 2724, 538, 519, 4871, 563, 763, 2557, 540, 2208, 540, 519, 2344, 1871, 540, 519, 4054, 786, 581, 3152, 454, 22474, 476, 276, 260, 2394, 519, 4054, 3914, 454, 4037, 1296, 540, 2085, 269, 630, 295, 842, 281, 898, 5205, 454, 5228, 10026, 11810, 602, 952, 674, 630, 339, 264, 815, 19838, 6025, 264, 2073, 1287, 674, 630, 339, 8358, 293, 630, 339, 264, 815, 575, 630, 339, 1040, 994, 5416, 264, 1403, 646, 568, 1152, 5461, 538, 519, 4054, 607, 606, 5092, 267, 875, 2025, 1058, 454, 23178, 4165, 527, 4185, 647, 23807, 478, 619, 689, 513, 2147, 3965, 561, 8985, 269, 1261, 666, 1406, 454, 8145, 1897, 519, 4542, 585, 590, 2901, 269, 1809, 267, 646, 6487, 602, 519, 1459, 1871, 454, 1993, 8096, 272, 513, 1032, 11014, 267, 4358, 1318, 1631, 814, 547, 581, 476, 272, 1341, 678, 2053, 607, 1804, 607, 454, 1492, 1459, 1871, 540, 8096, 272, 513, 1032, 267, 4358, 513, 1032, 689, 1631, 269, 630, 1607, 568, 3020, 454, 20357, 952, 596, 4434, 1022, 4747, 6908, 676, 513, 1032, 267, 596, 9062, 922, 454, 30005, 1871, 676, 476, 272, 266, 337, 4700, 2334, 568, 2676, 272, 32504, 272, 454, 272, 454, 272, 454, 32504, 266, 1547, 1547, 1547, 815, 630, 272, 1341, 678, 264, 306, 563, 32504, 263, 272, 1341, 678, 264, 630, 272, 1341, 678, 264, 273, 454, 263, 272, 1341, 678, 264, 274, 454, 5416, 264, 1403, 7905, 19080, 543, 7905, 4165, 527, 4185, 2322, 741, 1702, 1927, 267, 789, 666, 2769, 513, 2241, 3830, 5473, 1152, 519, 4756, 590, 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 ]

[ 0, 27026, 540, 3744, 693, 18087, 684, 553, 2160, 540, 5303, 630, 298, 307, 308, 1040, 26403, 807, 723, 2813, 27500, 5068, 267, 799, 1232, 904, 538, 513, 11003, 10822, 538, 513, 7008, 540, 1296, 269, 4437, 31129, 2813, 693, 918, 307, 308, 568, 12001, 543, 782, 519, 2326, 538, 922, 5888, 616, 5078, 585, 3346, 609, 1426, 563, 10908, 984, 958, 267, 519, 2179, 540, 5068, 3812, 538, 513, 1032, 568, 10199, 519, 1482, 607, 519, 3003, 2597, 540, 8103, 269, 8307, 476, 280, 260, 540, 621, 568, 13381, 267, 543, 519, 1964, 568, 7444, 9714, 532, 538, 519, 26071, 269, 634, 5068, 30477, 1674, 1184, 3217, 689, 1896, 4627, 547, 513, 8536, 540, 1296, 282, 1282, 519, 942, 5068, 568, 30477, 7992, 883, 2890, 27415, 5536, 267, 799, 1205, 883, 519, 2666, 7297, 543, 689, 873, 1107, 883, 938, 1426, 543, 1604, 563, 2005, 568, 6059, 602, 676, 476, 13078, 271, 538, 938, 12084, 972, 786, 581, 811, 5068, 982, 3165, 563, 23219, 609, 5068, 3653, 568, 1851, 519, 14422, 540, 519, 1699, 5108, 269, 634, 3864, 12057, 814, 9516, 513, 1876, 7333, 940, 513, 2647, 24365, 540, 2582, 14025, 5068, 3688, 267, 971, 607, 2269, 9749, 267, 10412, 19512, 543, 2759, 331, 2044, 676, 476, 1708, 272, 267, 543, 3875, 9777, 725, 1472, 519, 1158, 616, 1373, 5293, 538, 1931, 547, 1852, 5068, 3653, 269, 12207, 616, 849, 2921, 851, 538, 519, 3350, 1247, 2870, 811, 13476, 7888, 3435, 563, 288, 2319, 540, 3173, 689, 519, 918, 307, 308, 20513, 540, 11906, 5303, 723, 2813, 513, 4628, 16327, 739, 762, 11183, 585, 1426, 2472, 689, 1979, 31129, 267, 799, 30477, 6233, 609, 519, 948, 540, 14471, 563, 14071, 616, 1031, 547, 1205, 32409, 267, 16152, 267, 2250, 1845, 267, 26265, 543, 1082, 824, 2472, 538, 513, 1957, 9126, 609, 513, 5068, 6885, 269, 2060, 513, 2312, 6885, 593, 519, 4395, 3068, 267, 519, 2472, 538, 519, 9126, 666, 581, 9763, 3362, 269, 4014, 1957, 568, 31127, 9714, 762, 267, 621, 568, 7294, 547, 5094, 1957, 689, 5068, 267, 543, 519, 10189, 568, 2808, 1875, 3146, 7094, 762, 543, 1875, 16327, 739, 762, 269, 1717, 267, 952, 649, 1500, 519, 6885, 689, 27500, 5068, 267, 621, 1223, 581, 11003, 539, 269, 5047, 267, 649, 1223, 1256, 946, 519, 9126, 585, 10655, 27500, 3653, 543, 2322, 782, 883, 519, 11003, 10822, 1927, 5608, 3081, 3220, 6754, 3780, 14529, 767, 553, 8355, 559, 990, 553, 267, 519, 1291, 11001, 540, 519, 2319, 563, 4467, 14006, 1464, 568, 513, 8984, 540, 513, 1587, 602, 2636, 621, 547, 7686, 1122, 8565, 896, 1808, 2175, 896, 519, 3310, 540, 14471, 563, 29467, 616, 7899, 540, 14471, 538, 11003, 543, 789, 7558, 938, 5068, 1360, 1134, 5608, 3081, 3220, 8355, 559, 990, 553, 563, 6097, 547, 9167, 4441, 267, 538, 4853, 11003, 18013, 267, 799, 2844, 519, 2837, 540, 476, 276, 3199, 290, 267, 1979, 31129, 9714, 525, 538, 3368, 513, 1032, 269, 1717, 267, 538, 513, 11003, 10822, 693, 1753, 267, 519, 1184, 1131, 1491, 513, 7008, 540, 1296, 563, 18693, 31129, 2813, 693, 918, 307, 308, 20682, 568, 1500, 689, 27794, 1107, 513, 2067, 1570, 267, 519, 1292, 2679, 3625, 540, 2030, 2281, 685, 17011, 269, 15394, 6508, 689, 16025, 267, 27794, 568, 519, 1034, 1455, 18465, 8432, 1067, 1336, 538, 2470, 563, 6097, 547, 3173, 267, 519, 1292, 4161, 1247, 2870, 1979, 31129, 568, 711, 1152, 547, 1118, 621, 9714, 762, 855, 849, 12001, 267, 607, 713, 2298, 568, 1419, 2838, 676, 5561, 563, 2108, 29995, 267, 547, 1831, 5714, 5068, 2115, 547, 581, 12699, 269, 1717, 267, 952, 596, 3002, 1957, 630, 6518, 568, 849, 1759, 593, 27794, 264, 621, 786, 711, 1152, 711, 1831, 5277, 267, 855, 786, 849, 6633, 256, 1284, 616, 9599, 547, 723, 1336, 29322, 267, 799, 711, 1152, 1450, 27794, 547, 2490, 883, 5714, 2783, 855, 849, 616, 1875, 3562, 13877, 267, 799, 568, 1360, 1271, 538, 782, 2472, 1644, 547, 1426, 7829, 5608, 3081, 3220, 8355, 559, 990, 553, 563, 3891, 8098, 1080, 602, 1373, 13476, 7888, 814, 922, 1942, 1107, 519, 27500, 10189, 2813, 693, 918, 307, 308, 568, 1896, 2053, 811, 7199, 982, 8912, 269, 1717, 267, 519, 3395, 1297, 540, 10357, 23655, 3755, 568, 8716, 6080, 547, 1491, 606, 1719, 538, 27500, 11183, 8925, 563, 763, 26257, 593, 281, 4437, 31129, 454, 16129, 5616, 5240, 454, 763, 26257, 593, 281, 4437, 31129, 454, 268, 4437, 31129, 10369, 476, 1708, 271, 910, 31327, 6206, 24812, 616, 16286, 1975, 288, 267, 1488, 651, 2742, 14408, 267, 32577, 293, 10323, 267, 4437, 1774, 322, 32390, 6652, 651, 332, 269, 517, 4873, 476, 866, 267, 476, 1708, 271, 693, 476, 276, 281, 6349, 993, 454, 21801, 476, 866, 267, 476, 1708, 271, 630, 7374, 301, 1715, 1873, 790, 3842, 1290, 23753, 264, 4534, 634, 2518, 4437, 31129, 10369, 1867, 3947, 513, 26409, 676, 1826, 267, 3498, 543, 3148, 1369, 519, 9472, 1974, 689, 476, 1708, 271, 268, 1708, 277, 269, 634, 1883, 1382, 4429, 268, 4437, 31129, 7956, 3796, 10369, 476, 1708, 271, 9523, 267, 12752, 31326, 267, 1635, 7698, 267, 11905, 267, 13335, 267, 12025, 267, 12618, 267, 5983, 4751, 543, 13636, 5811, 547, 476, 1708, 277, 517, 4873, 476, 1704, 267, 476, 1708, 271, 693, 476, 280, 281, 2004, 10681, 454, 21801, 476, 1240, 267, 476, 1708, 271, 630, 7374, 301, 1715, 1873, 790, 3842, 1290, 23753, 264, 4534, 4437, 31129, 7956, 3796, 10369, 609, 5046, 268, 866, 1764, 2079, 2488, 27357, 1344, 827, 519, 2344, 2450, 267, 2671, 267, 543, 2104, 3466, 269, 634, 16367, 4429, 268, 16217, 329, 24322, 4191, 7720, 308, 609, 10370, 326, 657, 585, 1071, 23923, 532, 1979, 31129, 2472, 517, 4873, 476, 1704, 267, 476, 1708, 271, 693, 476, 275, 281, 6187, 993, 454, 9188, 793, 4336, 5346, 543, 786, 2417, 11753, 561, 12519, 3679, 607, 513, 2707, 1570, 538, 547, 1818, 4437, 31129, 267, 1572, 607, 2717, 2643, 12519, 18729, 630, 303, 6369, 1040, 24637, 585, 623, 6369, 3679, 568, 9625, 476, 1220, 267, 476, 1822, 9748, 270, 20204, 267, 799, 568, 4397, 4429, 268, 16217, 329, 24322, 4191, 7720, 308, 609, 10370, 326, 657, 585, 1071, 23923, 532, 1979, 31129, 2472, 517, 4873, 476, 1626, 267, 476, 1708, 271, 693, 476, 1556, 281, 4097, 10681, 454, 303, 571, 329, 814, 2907, 2919, 543, 3091, 9190, 18829, 2029, 547, 3132, 561, 12519, 3679, 543, 19654, 2472, 689, 24494, 3049, 18450, 269, 700, 12519, 3679, 568, 849, 1031, 538, 1426, 543, 16098, 267, 538, 4429, 268, 645, 6324, 523, 540, 5046, 268, 866, 2201, 519, 10369, 1299, 29407, 4643, 1923, 6820, 4437, 31129, 13268, 1645, 10369, 476, 1001, 280, 268, 1708, 274, 1923, 23207, 2422, 540, 4437, 31129, 13268, 1645, 547, 30205, 12618, 1923, 3353, 822, 1470, 517, 4873, 476, 1626, 267, 476, 1708, 271, 693, 476, 272, 281, 3393, 10681, 454, 20007, 822, 1470, 814, 9307, 922, 5767, 2344, 1382, 1867, 11331, 6820, 4437, 31129, 13268, 1645, 10369, 476, 1001, 280, 268, 1708, 274, 630, 20877, 545, 281, 6355, 18514, 1040, 700, 31631, 2177, 734, 630, 29642, 654, 296, 3918, 3738, 734, 20007, 822, 1470, 814, 1044, 5464, 519, 4429, 268, 901, 10433, 3046, 3096, 31629, 10538, 890, 1564, 547, 476, 274, 291, 1820, 1979, 31129, 11680, 517, 4873, 476, 1428, 267, 476, 1708, 271, 693, 476, 276, 281, 876, 10681, 454, 300, 1662, 762, 568, 513, 2518, 267, 3818, 13807, 520, 845, 2923, 543, 9913, 2754, 269, 623, 10062, 676, 922, 1378, 28106, 2029, 267, 631, 1662, 762, 568, 519, 979, 3562, 2707, 585, 10509, 267, 3059, 2528, 543, 9913, 1543, 4429, 268, 1924, 5076, 541, 4437, 31129, 16370, 14351, 517, 4873, 476, 280, 267, 476, 1708, 271, 693, 476, 276, 281, 876, 10681, 454, 11514, 25068, 1923, 25642, 8889, 1923, 17214, 769, 12924, 290, 1923, 14351, 10530, 676, 1710, 534, 7999, 14492, 23184, 5442, 5937, 7968, 8025, 10396, 1924, 5076, 541, 4437, 31129, 16370, 5254, 8016, 298, 1924, 5076, 541, 4437, 31129, 16370, 5240, 300, 16800, 30365, 585, 1924, 5076, 541, 4429, 268, 634, 4053, 8291, 281, 1261, 343, 337, 781, 476, 274, 291, 268, 2745, 539, 24743, 267, 26910, 22766, 595, 10984, 545, 11854, 539, 10509, 543, 476, 278, 300, 21983, 781, 5767, 6539, 517, 4873, 476, 276, 267, 476, 1708, 271, 693, 476, 273, 281, 4375, 993, 454, 763, 5728, 2501, 538, 519, 1106, 540, 513, 476, 274, 291, 268, 2745, 539, 9932, 18474, 2497, 1500, 689, 12443, 29524, 476, 1556, 910, 513, 562, 14125, 2861, 1979, 31129, 269, 634, 1374, 2497, 16030, 15279, 21192, 2281, 568, 8810, 547, 3927, 8756, 4429, 268, 476, 276, 4264, 8925, 547, 15229, 517, 4873, 476, 274, 267, 476, 1708, 271, 693, 476, 276, 281, 876, 10681, 454, 288, 986, 1111, 540, 1007, 1979, 31129, 10124, 568, 4358, 547, 6952, 909, 267, 1498, 269, 1656, 267, 7429, 5667, 20980, 8093, 10173, 267, 789, 616, 6508, 689, 7791, 2959, 269, 2755, 1979, 6955, 10415, 723, 519, 1482, 7636, 4429, 268, 11906, 27822, 24439, 2422, 995, 8605, 689, 17904, 4437, 31129, 517, 2904, 476, 2918, 267, 476, 1708, 271, 693, 476, 276, 281, 7871, 993, 454, 288, 5488, 267, 811, 3608, 1259, 540, 9657, 2030, 2861, 834, 6798, 6955, 10415, 257, 814, 1044, 2919, 676, 513, 2319, 540, 3744, 693, 519, 29550, 540, 27257, 543, 24872, 269, 634, 2319, 814, 3254, 875, 741, 3114, 4429, 16129, 29078, 5240, 0, 22546, 540, 6915, 325, 23459, 9088, 593, 7693, 6454, 563, 4263, 1459, 942, 267, 3114, 18168, 616, 811, 538, 2259, 585, 7693, 2504, 267, 799, 8959, 547, 909, 18141, 3037, 543, 1604, 2298, 543, 4299, 519, 6940, 540, 519, 6694, 2504, 1062, 269, 17957, 267, 6915, 325, 23459, 9088, 616, 5117, 7874, 267, 835, 540, 519, 1655, 2413, 2645, 585, 6683, 267, 543, 616, 1031, 547, 2087, 3037, 12680, 543, 2298, 269, 12713, 325, 23459, 9088, 723, 1631, 7153, 607, 513, 3810, 14984, 4244, 547, 22803, 18168, 543, 2709, 606, 3235, 10999, 3280, 543, 17215, 10694, 8905, 585, 11160, 13586, 8770, 3761, 543, 2810, 7693, 2504, 269, 1452, 1331, 2661, 2281, 540, 3309, 25281, 540, 14471, 543, 723, 519, 1761, 547, 4368, 11626, 9436, 543, 1151, 889, 559, 1125, 543, 20834, 1125, 2030, 5567, 689, 1202, 20107, 1106, 998, 18117, 1670, 1184, 269, 898, 814, 849, 519, 1761, 547, 27298, 519, 7934, 1063, 8770, 3761, 998, 18168, 543, 8770, 8851, 676, 7031, 269, 9747, 267, 6915, 325, 23459, 9088, 666, 581, 513, 15164, 4781, 547, 519, 6705, 547, 2333, 7693, 7607, 543, 1058, 1265, 3152, 10343, 689, 519, 10137, 4600, 543, 5010, 6915, 325, 23459, 6500, 9755, 563, 268, 715, 4368, 619, 454, 268, 623, 11860, 20834, 9088, 454, 268, 6915, 325, 23459, 6500, 19862, 454, 268, 1699, 8441, 454, 27807, 325, 23459, 9088, 267, 811, 14013, 15451, 26912, 592, 1218, 267, 616, 519, 21339, 5627, 835, 610, 811, 2249, 540, 14471, 799, 723, 519, 2702, 547, 7001, 610, 20834, 1125, 6484, 958, 1271, 2030, 5567, 689, 1875, 268, 20608, 547, 26729, 1106, 998, 519, 6211, 3157, 971, 607, 715, 30651, 267, 623, 1151, 889, 16478, 267, 608, 17917, 540, 2030, 2208, 2573, 19188, 267, 610, 27794, 12159, 538, 3037, 267, 11003, 267, 543, 824, 5054, 1496, 272, 267, 476, 273, 267, 476, 274, 4940, 12713, 325, 23459, 9088, 616, 1970, 21057, 543, 1604, 7888, 7110, 547, 3114, 18168, 543, 812, 999, 269, 21298, 267, 6915, 325, 23459, 9088, 616, 11543, 11610, 1813, 547, 922, 2702, 547, 2226, 3037, 1072, 267, 7413, 2825, 12159, 267, 543, 2759, 1524, 519, 946, 540, 22803, 18168, 538, 6683, 269, 1452, 11378, 6591, 3773, 2956, 538, 4764, 325, 539, 6683, 538, 2070, 540, 741, 1970, 1942, 267, 607, 1507, 547, 8589, 6705, 2066, 519, 8608, 3112, 6488, 7199, 3114, 18168, 1547, 12713, 325, 23459, 9088, 1223, 581, 606, 4998, 3403, 585, 5969, 519, 1942, 540, 2504, 543, 585, 8026, 5214, 543, 5726, 8105, 1547, 1452, 7103, 666, 581, 7722, 538, 4509, 1279, 3856, 3037, 12680, 543, 6940, 1496, 277, 267, 476, 278, 4940, 1280, 519, 5481, 547, 2097, 267, 6915, 325, 23459, 9088, 616, 16832, 547, 2327, 2635, 11934, 543, 1426, 563, 763, 8561, 593, 3114, 18168, 267, 799, 3006, 3366, 547, 5667, 2615, 881, 543, 1875, 268, 9080, 5534, 3498, 267, 814, 5921, 602, 519, 3037, 581, 9833, 607, 606, 16931, 14041, 585, 2030, 5072, 267, 3079, 540, 513, 2713, 1979, 14459, 267, 519, 29127, 14459, 267, 5627, 513, 16221 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15052, 938, 4276, 1247, 1869, 11981, 938, 1378, 13395, 4690, 269, 1284, 1336, 1455, 2666, 538, 938, 2648, 585, 5026, 267, 3226, 681, 1872, 2421, 13477, 267, 543, 4956, 547, 7390, 513, 3171, 1430, 7723, 10162, 951, 6474, 1927, 693, 519, 31298, 12594, 853, 18123, 630, 528, 834, 763, 8262, 674, 7578, 781, 853, 18123, 2437, 607, 621, 729, 15754, 2299, 1634, 1287, 1040, 898, 8604, 899, 519, 3501, 4316, 547, 6125, 936, 1945, 649, 1312, 6068, 269, 9741, 1705, 649, 917, 267, 713, 1554, 1131, 3142, 827, 606, 6397, 2490, 540, 2621, 602, 9444, 540, 721, 1223, 7340, 20471, 4166, 780, 2171, 8452, 2038, 693, 519, 30806, 267, 23362, 9027, 908, 519, 13858, 5790, 543, 23274, 1851, 8284, 11655, 269, 1306, 15400, 18793, 540, 519, 2319, 267, 594, 1185, 2938, 1082, 2242, 547, 519, 28379, 936, 519, 5756, 269, 1809, 2094, 922, 1034, 2487, 22058, 725, 267, 1519, 519, 1840, 540, 1533, 6361, 7308, 19603, 6360, 7547, 543, 8242, 27939, 12417, 267, 11504, 13292, 5433, 1256, 811, 2027, 982, 1354, 780, 7069, 9393, 267, 945, 1185, 5063, 3323, 8384, 681, 1872, 2421, 13477, 267, 14952, 539, 693, 519, 2413, 1242, 2934, 269, 1261, 7948, 1405, 948, 855, 669, 22976, 950, 646, 4718, 519, 9649, 7333, 1676, 23217, 18071, 519, 8630, 781, 11450, 609, 519, 2199, 5779, 1587, 2754, 910, 8754, 519, 28215, 267, 1412, 763, 8262, 674, 7578, 781, 853, 18123, 9538, 2334, 4090, 20206, 4327, 3388, 2189, 543, 17175, 827, 938, 7550, 554, 32528, 282, 28031, 5652, 267, 13730, 267, 543, 796, 777, 860, 13443, 3294, 780, 5978, 10761, 6603, 8611, 12334, 1175, 1354, 14736, 4752, 269, 1717, 267, 1369, 3764, 267, 1919, 3576, 606, 6397, 2490, 269, 3733, 9393, 10393, 804, 583, 3481, 1010, 9221, 543, 25540, 5196, 519, 4737, 538, 4395, 540, 721, 269, 7754, 545, 1671, 4240, 1472, 803, 267, 855, 972, 7012, 1405, 1454, 942, 585, 3206, 269, 2382, 3307, 1947, 267, 594, 3459, 7900, 31214, 1107, 1945, 594, 4121, 1282, 1250, 1101, 5351, 1576, 1296, 3516, 855, 2760, 2219, 594, 9364, 946, 538, 971, 513, 1164, 25774, 9183, 780, 14188, 2685, 267, 2564, 10986, 16425, 15527, 543, 3576, 936, 1272, 22766, 3800, 269, 2991, 1018, 5433, 899, 3108, 267, 789, 7307, 547, 24644, 1864, 269, 18873, 2663, 7000, 602, 646, 4810, 513, 6727, 13487, 2680, 1813, 547, 606, 3768, 328, 30938, 2295, 2783, 269, 1403, 711, 585, 2656, 2962, 267, 519, 6364, 1522, 723, 1044, 13249, 780, 4407, 23232, 693, 519, 6413, 267, 1250, 9393, 6829, 14696, 2509, 3025, 3238, 267, 2523, 14344, 1250, 3646, 547, 4688, 1864, 269, 6736, 519, 31029, 10071, 267, 649, 4362, 513, 17105, 7071, 585, 1142, 824, 543, 938, 2729, 1927, 269, 901, 1995, 22541, 938, 2078, 3564, 2268, 780, 288, 1906, 3275, 2663, 267, 2899, 4628, 16626, 267, 649, 8120, 547, 519, 31298, 12594, 853, 18123, 267, 1688, 2987, 11804, 267, 609, 513, 4514, 2631, 540, 10362, 269, 4014, 7620, 11688, 26938, 267, 649, 7691, 602, 8508, 938, 18653, 3366, 721, 1524, 6397, 10092, 267, 6038, 8744, 721, 6251, 1927, 269, 4595, 1287, 267, 1169, 3643, 547, 519, 30806, 2968, 513, 11812, 540, 6043, 267, 9322, 267, 543, 2648, 1107, 4664, 24190, 609, 519, 6891, 540, 3171, 1430, 7723, 10162, 951, 543, 741, 13991, 13794, 780, 1607, 12558, 6026, 721, 3407, 4245, 827, 2921, 4220, 267, 10027, 5109, 8090, 267, 543, 5807, 4296, 998, 3838, 2833, 269, 6787, 596, 1265, 7772, 538, 24821, 2421, 610, 1022, 824, 1719, 267, 3314, 602, 891, 2238, 1921, 1004, 543, 1711, 9434, 8823, 267, 5935, 2950, 2059, 519, 1259, 269, 1924, 1934, 781, 547, 1750, 1359, 593, 707, 6887, 267, 18656, 3101, 538, 12348, 267, 543, 19825, 782, 1346, 2370, 3877, 602, 1118, 873, 5963, 9058, 256, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 22081, 814, 3171, 1430, 7723, 10162, 951, 262, 30806, 4957, 936, 519, 1296, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 1810, 1405, 723, 1699, 1344, 607, 10311, 689, 476, 1708, 272, 593, 1189, 269, 12846, 267, 594, 666, 4766, 606, 7650, 540, 875, 3171, 1430, 7723, 10162, 951, 262, 30806, 814, 4957, 936, 519, 1296, 1759, 593, 2139, 1239, 1384, 8722, 1430, 7723, 10162, 951, 262, 30806, 814, 22734, 1896, 18175, 10232, 936, 519, 1296, 547, 2743, 519, 2838, 4441, 540, 3318, 24821, 2421, 21597, 269, 769, 519, 476, 1001, 271, 338, 267, 519, 2666, 23384, 513, 10565, 7004, 267, 799, 3769, 519, 556, 31141, 540, 519, 1292, 1796, 267, 609, 606, 2333, 538, 27939, 4390, 267, 10380, 540, 1007, 6360, 7547, 267, 543, 513, 1007, 12334, 269, 634, 30806, 849, 4607, 1007, 19703, 11623, 267, 9746, 24756, 10833, 267, 543, 824, 6703, 780, 1103, 476, 1001, 273, 267, 3171, 1430, 7723, 10162, 951, 262, 30806, 729, 26948, 519, 31298, 12594, 853, 18123, 267, 1739, 513, 13384, 11208, 4308, 609, 31298, 12594, 269, 634, 2012, 7283, 2429, 519, 476, 1001, 271, 338, 267, 609, 519, 1753, 2666, 1373, 5219, 547, 607, 1412, 763, 8262, 674, 7578, 781, 853, 18123, 262, 1310, 513, 13384, 11208, 6876, 609, 519, 5779, 1587, 2754, 563, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 5629, 2390, 513, 942, 267, 972, 729, 513, 8049, 543, 2186, 1373, 3957, 7705, 945, 1185, 1175, 8452, 593, 513, 4190, 4541, 1572, 3047, 269, 7705, 729, 11235, 547, 1451, 827, 713, 1007, 1747, 543, 922, 11317, 267, 1634, 607, 3425, 269, 2311, 1101, 267, 3388, 729, 14542, 543, 14845, 267, 855, 4166, 7705, 3459, 547, 1174, 930, 9238, 780, 3080, 1554, 267, 1247, 11287, 3425, 267, 7705, 8068, 602, 789, 1419, 10272, 4025, 547, 4309, 948, 950, 4743, 796, 6202, 610, 7680, 9636, 269, 1452, 24284, 616, 1634, 607, 3782, 6703, 269, 769, 1931, 547, 1732, 10146, 875, 3425, 2170, 1369, 891, 5468, 267, 7705, 4956, 547, 1445, 593, 1620, 513, 1808, 3510, 5473, 1614, 2516, 540, 1004, 910, 1762, 10708, 267, 4587, 10708, 267, 543, 1762, 4079, 910, 782, 4299, 676, 513, 2783, 1572, 7486, 780, 8334, 4121, 602, 3782, 4648, 960, 2182, 547, 1683, 6527, 899, 1884, 790, 339, 22201, 12637, 3797, 630, 11286, 264, 547, 1346, 12936, 676, 7486, 865, 602, 789, 666, 1291, 2635, 2729, 269, 1717, 267, 1256, 1498, 3025, 11392, 2147, 5574, 267, 7705, 7691, 602, 3006, 4093, 9867, 3648, 1851, 2043, 1813, 547, 3604, 538, 2123, 2188, 543, 1141, 789, 4607, 2126, 269, 1677, 2263, 891, 27753, 2417, 267, 3173, 6594, 1239, 6394, 936, 1896, 1296, 689, 811, 982, 513, 4627, 3782, 6703, 12391, 585, 5215, 540, 2550, 9907, 1063, 4557, 543, 8938, 21144, 269, 1358, 5059, 593, 1079, 3119, 3853, 281, 6967, 538, 2564, 1416, 9846, 543, 8236, 10194, 21109, 998, 1697, 6646, 6165, 780, 2414, 9414, 1018, 1352, 9364, 4362, 267, 7705, 6045, 621, 1210, 9059, 15361, 607, 12746, 625, 2094, 1200, 1007, 3659, 10150, 971, 12644, 4505, 269, 2701, 3379, 12270, 519, 7422, 883, 4130, 2694, 1759, 593, 1585, 2188, 547, 19459, 10477, 10077, 1407, 4012, 1227, 269, 3807, 607, 4778, 6719, 1367, 543, 1072, 9744, 10305, 267, 13974, 267, 10077, 1407, 3090, 1242, 3344, 7133, 3461, 2164, 269, 1635, 6313, 875, 1454, 3310, 1142, 3815, 1185, 593, 2949, 6364, 13260, 267, 3173, 6322, 547, 1265, 1761, 6304, 2798, 602, 1131, 7413, 10616, 538, 1967, 3928, 1063, 1114, 2516, 780, 2690, 3236, 267, 4952, 952, 596, 4371, 2789, 11954, 11084, 8204, 3309, 2043, 269, 3962, 3440, 19299, 2189, 7907, 267, 1818, 873, 3982, 2943, 4448, 1317, 789, 4866, 547, 835, 540, 1614, 6688, 1107, 1507, 267, 5420, 267, 610, 1804, 269, 6684, 267, 3173, 9674, 519, 5171, 883, 1614, 2085, 23049, 269, 3973, 267, 789, 8947, 875, 1169, 7121, 6766, 519, 10171, 540, 8757, 5551, 1072, 3853, 269, 901, 1184, 4847, 3744, 547, 2697, 1898, 2609, 8506, 6454, 1312, 14350, 543, 15217, 780, 1103, 3932, 267, 4352, 1082, 1919, 7283, 12357, 827, 3047, 543, 922, 1950, 11317, 267, 7705, 1631, 9787, 539, 4909, 2035, 3823, 1480, 5872, 1369, 3782, 1949, 269, 3414, 6297, 8343, 543, 2079, 267, 3173, 1193, 1882, 2509, 5355, 9698, 538, 1416, 585, 782, 3425, 267, 7488, 540, 4282, 610, 6381, 269, 1656, 3976, 267, 938, 9661, 5713, 607, 513, 12576, 602, 7279, 543, 8990, 666, 12260, 9885, 3056, 547, 3152, 1620, 543, 6568, 10838, 721, 782, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 7072, 15240, 656, 658, 13103, 538, 1416, 4093, 2291, 1063, 1114, 1016, 25364, 540, 10708, 543, 31655, 2713, 609, 7486, 630, 17751, 299, 295, 4353, 1040, 4197, 8390, 538, 1367, 543, 1072, 9744, 4162, 1223, 581, 1883, 547, 7114, 9072, 585, 7459, 547, 2569, 891, 13103, 269, 1284, 1110, 8215, 8390, 538, 589, 312, 299, 295, 4353, 12802, 538, 1416, 543, 10194, 21109, 267, 543, 3067, 1881, 519, 6708, 547, 799, 1367, 543, 9744, 4162, 2272, 585, 4767, 7648, 563, 32325, 1284, 3769, 476, 14056, 271, 1762, 10708, 630, 1015, 1700, 1691, 1296, 1070, 476, 17168, 277, 4587, 10708, 630, 1428, 1700, 866, 1296, 264, 543, 476, 280, 1428, 272, 1762, 4079, 630, 736, 1700, 2190, 1296, 264, 945, 941, 15748, 593, 1884, 790, 339, 22201, 12637, 3797, 630, 11286, 264, 1063, 5130, 476, 1001, 276, 543, 5412, 476, 1001, 278, 2066, 476, 14862, 3782, 6703, 538, 13280, 269, 1280, 1142, 2085, 1895, 267, 649, 1031, 1617, 850, 767, 20592, 547, 15652, 4767, 8390, 540, 1292, 4093, 630, 4958, 1549, 538, 1416, 543, 10194, 21109, 693, 476, 1321, 3275, 1310, 26353, 22612, 264, 676, 1367, 630, 24038, 835, 264, 543, 1072, 9744, 630, 24038, 1079, 264, 4162, 269, 1284, 1031, 6231, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 27400, 8551, 1315, 4937, 1315, 18903, 543, 7629, 4288, 267, 547, 606, 9813, 3957, 7705, 602, 1175, 15354, 593, 3618, 543, 814, 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, 606, 9813, 609, 1100, 1702, 827, 3618, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 1684, 711, 1289, 7705, 606, 9813, 269, 0, 5149, 476, 275, 281, 14730, 7395, 673, 30527, 538, 17104, 1299, 23272, 3626, 9710, 2928, 11470, 692, 1103, 713, 1770, 267, 649, 5490, 883, 519, 4241, 24848, 516, 540, 4158, 9589, 17779, 1369, 17104, 543, 21337, 16897, 3332, 269, 901, 5339, 1106, 10905, 2609, 540, 9059, 543, 4641, 267, 1419, 20747, 2590, 519, 3515, 1063, 519, 1079, 267, 4611, 538, 513, 2189, 543, 20807, 5944, 4190, 2542, 1995, 269, 1284, 786, 2263, 1585, 3344, 540, 713, 9135, 267, 1519, 922, 8129, 267, 1883, 4162, 267, 543, 8037, 1568, 269, 5047, 267, 649, 786, 4983, 875, 713, 9135, 12969, 338, 609, 6626, 2686, 267, 3140, 267, 543, 2797, 8658, 269, 3414, 2673, 13220, 267, 2565, 9382, 267, 543, 5717, 267, 596, 786, 2744, 513, 4514, 7071, 585, 519, 10848, 543, 16082, 7915, 538, 891, 6386, 780, 296, 269, 17959, 543, 4886, 540, 14730, 7395, 673, 30527, 692, 288, 269, 8466, 12745, 454, 300, 698, 673, 17779, 814, 1279, 1044, 513, 20013, 540, 5824, 1977, 3332, 267, 12082, 538, 6805, 4978, 267, 7810, 2833, 267, 543, 2022, 24645, 31886, 269, 1717, 267, 621, 729, 711, 2394, 519, 4571, 268, 736, 628, 2540, 602, 713, 9135, 6591, 3486, 6284, 998, 14262, 1568, 971, 607, 28792, 25661, 807, 3057, 4302, 345, 781, 2290, 25569, 13012, 540, 3752, 3363, 543, 1772, 8475, 2353, 29868, 781, 5600, 540, 9454, 1080, 269, 769, 2487, 5756, 267, 2705, 267, 1082, 5830, 723, 29689, 713, 9135, 609, 513, 18632, 6316, 267, 2870, 2984, 28093, 4240, 609, 1312, 9810, 543, 4898, 780, 289, 269, 20223, 14730, 7395, 673, 30527, 454, 4263, 922, 4295, 267, 4158, 9589, 17779, 16621, 16750, 20825, 543, 28531, 2609, 1369, 27217, 5468 ]

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

[ 21683, 3418, 1038, 952, 4737, 2652, 1412, 18958, 311, 262, 6769, 2018, 2132, 1412, 311, 262, 1477, 1038, 952, 4737, 2652, 1412, 302, 302, 302, 262, 6769, 2018, 2132, 1412, 302, 262, 5897, 825, 585, 524, 322, 538, 2039, 263, 271, 267, 274, 8029, 1038, 897, 815, 1205, 22674, 4379, 29033, 267, 764, 3418, 1038, 952, 897, 2652, 1412, 18958, 311, 262, 6769, 2018, 2132, 1412, 311, 262, 1477, 1038, 952, 897, 2652, 1412, 302, 302, 302, 262, 6769, 2018, 2132, 1412, 302, 262, 5897, 825, 4511, 815, 4604, 314, 271, 6012, 271, 316, 1341, 4604, 314, 272, 6012, 272, 316, 1341, 4604, 314, 273, 6012, 273, 15947, 825, 952, 4511, 2652, 1412, 18958, 311, 262, 6769, 1038, 2132, 1412, 311, 262, 1477, 825, 952, 4511, 2652, 1412, 302, 302, 302, 262, 6769, 1038, 2132, 1412, 302, 262, 5897, 825, 4511, 815, 4604, 314, 273, 6012, 271, 316, 1341, 4604, 314, 272, 6012, 272, 316, 1341, 4604, 314, 271, 6012, 273, 15947, 825, 952, 4511, 2652, 1412, 18958, 311, 262, 6769, 1038, 2132, 1412, 311, 262, 1477, 825, 952, 4511, 2652, 1412, 302, 302, 302, 262, 6769, 1038, 2132, 1412, 302, 262, 1477, 24541, 825, 2132, 7183, 5897, 3698, 1491, 4671, 1248, 263, 7773, 267, 4580, 267, 15367, 8029, 825, 1948, 5192, 8844, 1477, 825, 533, 815, 3094, 10947, 300, 1787, 14052, 825, 897, 815, 703, 9638, 10947, 311, 3890, 12262, 476, 1015, 3418, 825, 4737, 815, 703, 9638, 10947, 312, 3890, 12262, 476, 1015, 3418, 825, 7956, 263, 11592, 263, 3712, 265, 1015, 1341, 476, 276, 267, 4737, 265, 1015, 1341, 476, 276, 1070, 15367, 1040, 9526, 263, 7773, 3418, 825, 4604, 314, 992, 6012, 3712, 316, 815, 945, 5897, 3698, 1397, 318, 7773, 1676, 263, 15367, 267, 7773, 8029, 825, 3977, 815, 834, 32156, 834, 1341, 945, 1341, 834, 814, 4465, 713, 3014, 10590, 1477, 825, 3977, 3667, 815, 7956, 263, 11592, 263, 1428, 267, 4343, 1070, 16059, 3418, 825, 3977, 3667, 6155, 3863, 263, 7773, 3418, 825, 942, 4732, 2748, 263, 276, 3418, 825, 2132, 5897, 3698, 14827, 14682, 877, 31107, 267, 12528, 4289, 8029, 825, 4159, 815, 834, 29177, 825, 3094, 815, 8641, 310, 514, 2891, 307, 545, 6874, 659, 268, 2414, 324, 2580, 4968, 267, 4968, 3418, 825, 3094, 15630, 10870, 3581, 263, 271, 267, 271, 267, 1911, 267, 1911, 3418, 825, 1820, 263, 12528, 4289, 314, 4486, 6012, 271, 29573, 825, 1820, 263, 12528, 4289, 314, 4486, 6012, 272, 29573, 825, 1820, 263, 12528, 4289, 314, 4486, 6012, 273, 29573, 825, 1820, 263, 12528, 4289, 3418, 825, 4159, 815, 1193, 263, 12528, 4289, 314, 4486, 6012, 271, 8079, 1341, 834, 814, 513, 1164, 6060, 540, 834, 1341, 1193, 263, 12528, 4289, 314, 4486, 6012, 273, 29573, 825, 7956, 263, 11592, 263, 2004, 267, 2568, 1070, 5891, 1040, 9526, 263, 7773, 10142, 825, 25351, 4120, 263, 11592, 263, 1428, 267, 1839, 1070, 11592, 263, 3393, 267, 3374, 26895, 9526, 263, 7773, 3418, 825, 7956, 263, 11592, 263, 1789, 267, 1789, 1070, 257, 25440, 1586, 20257, 9526, 263, 7773, 3418, 825, 25351, 4120, 263, 11592, 263, 2568, 267, 1839, 1070, 11592, 263, 3199, 267, 3374, 26895, 9526, 263, 7773, 3418, 825, 7956, 263, 11592, 263, 3583, 267, 1789, 1070, 257, 304, 3726, 20257, 9526, 263, 7773, 3418, 825, 4945, 815, 8771, 1477, 825, 1247, 4945, 2652, 8771, 6769, 1038, 27976, 815, 3094, 10947, 300, 1787, 14052, 1038, 952, 27976, 10947, 311, 3890, 3436, 476, 1428, 543, 27976, 10947, 311, 3890, 2999, 476, 3393, 543, 27976, 10947, 312, 3890, 3436, 476, 1839, 543, 27976, 10947, 312, 3890, 2999, 476, 3374, 6769, 2018, 3094, 25379, 14052, 2018, 2132, 8771, 1477, 1038, 952, 27976, 10947, 311, 3890, 3436, 476, 2568, 543, 27976, 10947, 311, 3890, 2999, 476, 3199, 543, 27976, 10947, 312, 3890, 3436, 476, 1839, 543, 27976, 10947, 312, 3890, 2999, 476, 3374, 6769, 2018, 3094, 25379, 14052, 2018, 2132, 6936, 5897, 24541, 3698, 1292, 28399, 825, 1655, 3667, 815, 834, 29177, 825, 2845, 815, 8771, 1477, 24541, 825, 1247, 2845, 2652, 8771, 281, 1948, 13038, 476, 274, 3014, 1305, 8520, 1477, 1038, 1883, 267, 12528, 4289, 815, 21189, 3890, 1948, 8298, 338, 538, 3593, 1477, 1038, 952, 1883, 2652, 910, 274, 6769, 2018, 2845, 815, 6936, 1477, 2018, 2736, 5897, 1038, 1535, 342, 1231, 815, 476, 271, 1477, 1038, 7640, 1231, 815, 476, 271, 1477, 1038, 585, 1775, 538, 2039, 263, 274, 8029, 2018, 3094, 267, 4580, 815, 1711, 318, 4580, 3890, 1948, 6282, 525, 3014, 4604, 1477, 2018, 1655, 3667, 815, 834, 5522, 11691, 1655, 540, 476, 274, 267, 596, 616, 593, 3014, 834, 1341, 1193, 9217, 266, 272, 3418, 2018, 7956, 263, 11592, 263, 1428, 267, 3374, 1070, 12895, 3667, 1040, 9526, 263, 7773, 3418, 17264, 1477, 2018, 585, 2490, 538, 2039, 263, 280, 8029, 3546, 952, 2490, 4939, 476, 273, 2652, 476, 271, 281, 1948, 4634, 9847, 2473, 1477, 7386, 945, 815, 1412, 311, 262, 1477, 3546, 3116, 6769, 7386, 945, 815, 1412, 302, 262, 5897, 3546, 1491, 4671, 1248, 263, 7773, 267, 4580, 267, 15367, 3418, 3546, 952, 2638, 318, 7773, 1676, 29033, 264, 11203, 7183, 6769, 7386, 1397, 318, 7773, 1676, 263, 15367, 267, 7773, 3418, 7386, 952, 945, 2652, 1412, 311, 262, 6769, 13376, 3593, 4289, 314, 4486, 6012, 273, 316, 815, 703, 263, 12528, 4289, 314, 4486, 6012, 273, 8079, 1341, 476, 272, 1477, 13376, 1535, 342, 1231, 815, 1535, 342, 1231, 1341, 476, 272, 1477, 7386, 3116, 6769, 4449, 1363, 1477, 13376, 7640, 1231, 815, 7640, 1231, 1341, 476, 272, 1477, 7386, 3094, 25379, 14052, 7386, 1948, 1401, 527, 519, 3014, 1477, 7386, 2736, 1477, 2018, 952, 1535, 342, 1231, 2652, 476, 273, 610, 7640, 1231, 2652, 476, 273, 281, 1948, 6744, 547, 1294, 952, 2901, 2427, 814, 4465, 1655, 540, 476, 274, 1477, 3546, 3094, 25379, 14052, 3546, 2736, 1477, 11434, 1477, 1038, 2845, 815, 14827, 14682, 877, 31107, 267, 12528, 4289, 3418, 17264, 1477, 1038, 2845, 719, 263, 12528, 4289, 264, 1948, 8421, 338, 856, 1699, 3593, 952, 1007, 1239, 568, 547, 581, 2854, 547, 3758, 1477, 17264, 1477, 10852, 14052, 0, 258, 1930, 3758, 547, 1224, 17408, 1115, 454, 258, 12803, 284, 13449, 2891, 6894, 27406, 14824, 337, 5602, 258, 12803, 284, 13449, 2891, 6894, 318, 273, 27406, 14824, 337, 5602, 12803, 284, 13449, 2891, 270, 24610, 270, 889, 31583, 270, 10112, 9892, 268, 273, 270, 6894, 27406, 14824, 337, 5602, 258, 1913, 547, 581, 18886, 454, 6919, 284, 14277, 2254, 2922, 14824, 338, 12522, 14824, 3147, 1211, 14824, 14075, 7996, 14824, 19763, 14824, 325, 7037, 14824, 338, 852, 7088, 14824, 16591, 1153, 14824, 16591, 3506, 14824, 21112, 3506, 14824, 21112, 1153, 20350, 11434, 834, 335, 3233, 3506, 14824, 335, 3233, 1153, 14824, 9404, 580, 7847, 14824, 9404, 580, 7949, 14824, 335, 3326, 1081, 14824, 24650, 14824, 321, 4926, 14824, 1706, 802, 14824, 335, 1046, 14824, 335, 1046, 532, 31116, 258, 4558, 519, 1913, 1336, 454, 11398, 17342, 6540, 258, 8237, 4737, 676, 862, 553, 543, 1265, 519, 1913, 454, 1721, 512, 11548, 538, 3758, 912, 825, 897, 284, 339, 11548, 21858, 2891, 2437, 994, 825, 585, 2262, 538, 1913, 912, 1038, 585, 1871, 538, 897, 912, 2018, 952, 2262, 538, 1871, 912, 3546, 1293, 284, 7407, 29644, 27182, 994, 3546, 585, 1775, 538, 2039, 6262, 870, 2187, 7386, 1336, 6910, 27182, 2020, 11907, 284, 4944, 1046, 4732, 335, 1046, 3519, 3667, 269, 1706, 5537, 1125, 6600, 895, 994, 258, 4786, 519, 1913, 602, 616, 1336, 454, 11907, 284, 11907, 6230, 777, 10857, 10033, 1535, 281, 263, 343, 267, 272, 4917, 258, 2569, 519, 2262, 1293, 454, 11907, 284, 11907, 18622, 706, 576, 3528, 7659, 10857, 10033, 1535, 11971, 281, 343, 20742, 994, 11907, 31815, 937, 4590, 258, 4558, 4908, 1293, 538, 3977, 6119, 454, 11907, 16691, 2297, 576, 263, 272, 1040, 338, 1511, 2026, 17806, 17572, 3488, 5320, 6958, 15968, 18045, 318, 272, 17902, 5073, 258, 11907, 16691, 2297, 576, 263, 272, 1040, 338, 1511, 2026, 17806, 17572, 3488, 5320, 6958, 15968, 18045, 318, 273, 17902, 17210, 0, 258, 2322, 707, 3009, 1934, 563, 3667, 815, 1930, 2891, 13512, 664, 17902, 5602, 3698, 1293, 29999, 29495, 2187, 825, 1913, 815, 2715, 10926, 825, 585, 1899, 538, 1257, 912, 1038, 1899, 14067, 686, 5529, 815, 1899, 25331, 29328, 4590, 1038, 1592, 29999, 815, 1899, 14067, 686, 5529, 21858, 2891, 19515, 1038, 1948, 2745, 27182, 994, 1038, 585, 2262, 538, 1592, 29999, 912, 2018, 1913, 314, 5320, 316, 815, 1913, 10947, 27182, 267, 476, 271, 264, 1341, 476, 272, 692, 825, 2132, 1913, 454, 3698, 1820, 29999, 18045, 27182, 5091, 5315, 2187, 825, 585, 2262, 267, 1293, 538, 2262, 5091, 5315, 29096, 10031, 1038, 1820, 6600, 262, 346, 5320, 348, 2715, 12248, 348, 17210, 2745, 29999, 18045, 6262, 870, 29999, 29495, 4297, 3097, 0, 258, 256, 595, 24097, 23911, 4029, 315, 7090, 7531, 3698, 1292, 10031, 825, 546, 815, 27835, 821, 9166, 476, 272, 267, 1412, 18314, 9166, 476, 273, 267, 1412, 22764, 9166, 476, 274, 267, 1412, 27917, 9166, 476, 275, 267, 1412, 325, 633, 9166, 476, 276, 8679, 825, 1820, 5560, 994, 825, 585, 737, 538, 15044, 5560, 269, 12399, 3890, 2187, 1038, 1820, 17347, 267, 546, 25208, 20285, 825, 524, 815, 9598, 18692, 1038, 835, 815, 476, 272, 267, 1079, 815, 476, 273, 267, 1614, 815, 476, 274, 267, 2185, 815, 476, 275, 267, 2947, 815, 834, 325, 633, 4840, 825, 12467, 825, 585, 737, 538, 15044, 6262, 269, 12399, 3890, 2187, 1038, 1820, 17347, 267, 524, 25208, 20285, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 0, 5814, 556, 267, 19523, 692, 258, 524, 1258, 16105, 834, 276, 476, 276, 476, 276, 476, 276, 476, 276, 5016, 258, 14644, 338, 642, 1513, 454, 258, 595, 3224, 629, 607, 9226, 1592, 454, 322, 1258, 815, 19523, 27769, 341, 314, 272, 2639, 20889, 290, 1258, 815, 524, 1258, 21858, 4590, 258, 595, 1258, 2990, 454, 6570, 291, 1112, 815, 2715, 272, 281, 257, 2381, 1393, 2580, 476, 273, 281, 257, 327, 712, 2580, 476, 274, 281, 257, 1485, 2580, 476, 275, 281, 257, 24629, 2580, 476, 276, 281, 257, 1485, 540, 519, 3018, 257, 8679, 258, 3933, 2195, 540, 519, 1032, 910, 11837, 454, 3000, 2195, 8170, 763, 17413, 815, 2715, 272, 281, 257, 20464, 2580, 476, 273, 281, 257, 21938, 2580, 476, 274, 281, 257, 18550, 2580, 476, 275, 281, 257, 19688, 2580, 476, 276, 281, 257, 9802, 2580, 476, 277, 281, 257, 18907, 2580, 476, 278, 281, 257, 20809, 2580, 476, 279, 281, 257, 20606, 2580, 476, 280, 281, 257, 20826, 2580, 476, 1015, 281, 257, 19751, 2580, 476, 1556, 281, 257, 21776, 2580, 476, 1321, 281, 257, 20103, 257, 8679, 258, 17963, 540, 519, 1032, 910, 11837, 454, 17058, 8170, 763, 25582, 815, 2715, 272, 281, 257, 31388, 2580, 476, 273, 281, 257, 307, 11698, 2580, 476, 274, 281, 257, 26607, 11888, 2580, 476, 275, 281, 257, 32637, 2580, 476, 276, 281, 257, 293, 27518, 2580, 476, 277, 281, 257, 306, 12944, 2580, 476, 278, 281, 257, 306, 1495, 599, 257, 7684, 454, 258, 15937, 1592, 649, 786, 1820, 856, 547, 519, 3593, 454, 16058, 5649, 762, 290, 1258, 815, 29129, 258, 16294, 519, 1599, 1031, 547, 1612, 572, 1142, 524, 1258, 4661, 692, 3698, 2638, 14737, 1393, 263, 2381, 1393, 2187, 825, 1295, 3725, 613, 343, 815, 834, 317, 314, 272, 268, 276, 316, 286, 314, 271, 268, 280, 316, 259, 4840, 825, 952, 556, 6230, 2255, 263, 2381, 3725, 613, 343, 267, 8792, 2187, 1038, 1820, 2891, 520, 8792, 834, 266, 2381, 1393, 994, 1038, 1480, 5649, 762, 290, 1258, 6910, 2891, 520, 8792, 834, 266, 2381, 1393, 994, 825, 3116, 912, 1038, 1820, 2891, 7312, 16105, 1281, 711, 6474, 519, 1295, 16105, 630, 9994, 539, 1871, 2433, 476, 271, 268, 6795, 264, 15419, 3698, 2638, 295, 712, 22607, 712, 2187, 825, 5662, 3725, 613, 343, 815, 834, 22677, 273, 314, 271, 268, 275, 316, 347, 272, 314, 271, 268, 280, 316, 347, 314, 272, 268, 280, 316, 7751, 4840, 825, 952, 556, 6230, 2255, 22607, 712, 3725, 613, 343, 267, 5662, 2187, 1038, 1820, 2891, 335, 770, 5662, 834, 266, 327, 712, 994, 1038, 1480, 5649, 762, 290, 1258, 6910, 2891, 335, 770, 5662, 834, 266, 327, 712, 994, 825, 3116, 912, 1038, 1820, 2891, 7312, 16105, 1281, 711, 6474, 519, 5662, 16105, 630, 9994, 539, 1871, 2433, 476, 271, 268, 2190, 264, 15419 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1883, 314, 271, 20285, 1038, 1948, 1325, 21246, 1470, 1714, 512, 4821, 25123, 1642, 24050, 1965, 28075, 783, 513, 966, 454, 1038, 1295, 3891, 777, 25915, 815, 966, 16963, 1038, 1948, 769, 1714, 8520, 267, 1295, 24050, 733, 1329, 324, 547, 323, 657, 17485, 12162, 657, 454, 1038, 1948, 6446, 513, 684, 1100, 694, 513, 10722, 23565, 620, 17364, 3529, 563, 1038, 1247, 1295, 3891, 777, 18994, 10387, 27679, 3890, 2652, 8771, 1384, 2018, 1948, 23448, 518, 1714, 9825, 823, 6446, 512, 1263, 320, 1714, 27089, 11792, 890, 4302, 25123, 632, 26240, 334, 454, 2018, 1007, 3891, 777, 11966, 815, 1295, 3891, 777, 269, 2169, 847, 14737, 4590, 2018, 579, 815, 1007, 3891, 777, 11966, 314, 271, 6540, 2018, 1948, 7638, 547, 323, 657, 17485, 14622, 11105, 525, 632, 579, 825, 454, 2018, 1948, 630, 3200, 1182, 3063, 573, 657, 264, 586, 4890, 714, 541, 1714, 454, 2018, 1948, 27089, 632, 3997, 1253, 534, 857, 553, 454, 2018, 585, 533, 290, 3863, 331, 538, 1582, 3052, 1429, 314, 340, 28660, 3546, 642, 815, 533, 290, 3863, 331, 314, 271, 6540, 3546, 1948, 13961, 3288, 1253, 4545, 807, 11792, 9729, 320, 513, 642, 1100, 694, 688, 3803, 714, 5964, 513, 684, 454, 3546, 1948, 586, 3288, 1253, 4545, 807, 513, 642, 11188, 579, 1965, 2367, 528, 6446, 3097, 3546, 1948, 3288, 2301, 3385, 7173, 328, 3512, 324, 454, 3546, 952, 1295, 3891, 777, 18994, 1103, 14737, 3891, 777, 17635, 264, 543, 533, 290, 3863, 331, 314, 272, 316, 2999, 1883, 314, 341, 14158, 7386, 1883, 314, 341, 316, 815, 533, 290, 3863, 331, 314, 272, 2639, 7386, 2385, 314, 341, 316, 815, 579, 692, 7386, 1948, 4890, 714, 541, 1714, 27089, 632, 3288, 1253, 4545, 807, 679, 1714, 24050, 512, 3711, 1329, 454, 7386, 1295, 3891, 777, 19709, 920, 848, 7659, 17635, 267, 1883, 314, 341, 20285, 1038, 1820, 6635, 337, 263, 8001, 267, 966, 9239, 258, 4530, 32115, 454, 23054, 815, 8641, 263, 280, 994, 23054, 14491, 10955, 613, 263, 271, 267, 476, 272, 267, 476, 272, 994, 23054, 14491, 10955, 613, 263, 271, 267, 476, 278, 267, 476, 279, 994, 23054, 14491, 10955, 613, 263, 272, 267, 476, 273, 267, 476, 279, 994, 23054, 14491, 10955, 613, 263, 272, 267, 476, 278, 267, 476, 1556, 994, 23054, 14491, 10955, 613, 263, 273, 267, 476, 274, 267, 476, 278, 994, 23054, 14491, 10955, 613, 263, 273, 267, 476, 279, 267, 476, 273, 994, 23054, 14491, 10955, 613, 263, 273, 267, 476, 276, 267, 476, 275, 994, 23054, 14491, 10955, 613, 263, 274, 267, 476, 275, 267, 476, 280, 994, 23054, 14491, 10955, 613, 263, 274, 267, 476, 276, 267, 476, 1691, 994, 23054, 14491, 10955, 613, 263, 275, 267, 476, 276, 267, 476, 1015, 994, 23054, 14491, 10955, 613, 263, 276, 267, 476, 277, 267, 476, 273, 994, 23054, 14491, 10955, 613, 263, 277, 267, 476, 278, 267, 476, 272, 994, 23054, 14491, 10955, 613, 263, 277, 267, 476, 279, 267, 476, 277, 994, 23054, 14491, 10955, 613, 263, 278, 267, 476, 279, 267, 476, 278, 994, 23054, 10422, 3234, 300, 4306, 3890, 0, 258, 901, 3758, 568, 851, 540, 519, 2326, 18913, 519, 1433, 1477, 258, 834, 12385, 3012, 673, 20603, 998, 5124, 257, 676, 22167, 322, 345, 541, 22603, 543, 715, 16388, 267, 1477, 258, 11062, 2160, 4964, 269, 3883, 3135, 281, 8940, 11482, 690, 545, 1320, 745, 23911, 3820, 1477, 258, 630, 322, 264, 962, 2335, 2967, 589, 269, 22167, 322, 345, 541, 22603, 543, 3143, 600, 715, 16388, 267, 476, 1001, 278, 268, 1708, 272, 1477, 258, 11711, 2012, 281, 3981, 1431, 22812, 2265, 687, 18258, 5897, 18851, 24965, 794, 1063, 12985, 3406, 2042, 27969, 5897, 5228, 6449, 325, 1956, 1029, 1104, 14391, 725, 1477, 5228, 17511, 1104, 17593, 13729, 267, 29570, 267, 16515, 921, 267, 5742, 5897, 5228, 3981, 1431, 269, 1910, 660, 1314, 1104, 2608, 1477, 5228, 3981, 1431, 269, 9895, 24939, 1104, 2608, 5897, 258, 281, 589, 3113, 593, 513, 14584, 1305, 540, 519, 1106, 12181, 263, 272, 267, 1730, 1862, 315, 12181, 267, 1730, 315, 2387, 333, 318, 3200, 1182, 319, 315, 12181, 264, 1730, 267, 1477, 258, 281, 6719, 676, 519, 1297, 540, 14622, 2387, 333, 318, 3200, 1182, 319, 543, 513, 1305, 540, 8728, 936, 1477, 258, 281, 519, 14622, 23228, 20877, 815, 16515, 921, 27776, 267, 17593, 13729, 314, 307, 340, 921, 27776, 267, 703, 14963, 316, 476, 5897, 3698, 568, 14682, 1429, 14116, 1429, 281, 8641, 264, 9847, 536, 944, 6769, 825, 5727, 10267, 4242, 952, 519, 2016, 1239, 2497, 568, 513, 4570, 6041, 540, 513, 3113, 269, 5897, 825, 30352, 6769, 1038, 3113, 281, 1239, 2497, 547, 2638, 269, 5897, 825, 16849, 6769, 1038, 12181, 12148, 1730, 952, 519, 2016, 1239, 2497, 568, 513, 4570, 6041, 540, 513, 1477, 1038, 3113, 267, 12181, 16178, 1730, 6382, 23228, 825, 5727, 1477, 825, 630, 333, 318, 3200, 1182, 267, 8728, 264, 815, 3113, 1477, 825, 585, 6316, 538, 8728, 6769, 1038, 585, 14584, 538, 6316, 6769, 2018, 952, 711, 476, 272, 10922, 14584, 10922, 562, 318, 3200, 1182, 6769, 3546, 2132, 8771, 1477, 1038, 952, 6316, 314, 271, 316, 2652, 6316, 314, 272, 316, 6769, 2018, 2132, 8771, 1477, 825, 2132, 6936, 5897, 3698, 568, 318, 20777, 318, 274, 3712, 1681, 14116, 1429, 281, 8641, 267, 7801, 281, 29570, 27776, 267, 703, 8079, 9847, 536, 944, 6769, 825, 5727, 10267, 4242, 2436, 519, 2016, 7801, 568, 513, 4570, 7801, 540, 519, 2016, 3113, 1477, 825, 676, 519, 4778, 476, 272, 267, 476, 273, 267, 543, 476, 274, 269, 5897, 825, 30352, 6769, 1038, 3113, 281, 3113, 547, 2638, 23228, 1038, 7801, 281, 11837, 689, 519, 14622, 540, 519, 2016, 3113, 547, 4778, 267, 1477, 2018, 547, 2638, 269, 5897, 825, 16849, 6769, 1038, 12181, 12148, 1730, 952, 519, 2016, 7801, 568, 513, 4570, 7801, 540, 519, 2016, 3113, 676, 1477, 1038, 519, 4778, 476, 272, 267, 476, 273, 267, 543, 476, 274, 282, 12181, 16178, 1730, 6382, 23228, 825, 5727, 1477, 825, 7682, 568, 14682, 1429, 14116, 1429, 3418, 825, 630, 333, 318, 3200, 1182, 267, 8728, 264, 815, 3113, 1477, 825, 585, 14584, 538, 2039, 263, 272, 267, 562, 318, 3200, 1182, 1341, 476, 272, 8029, 1038, 952, 14584, 711, 538, 7801, 269, 12399, 3890, 610, 7801, 314, 591, 23753, 316, 711, 538, 2715, 272, 267, 476, 273, 267, 476, 274, 348, 6769, 2018, 2132, 8771, 1477, 825, 585, 6316, 538, 8728, 6769, 1038, 952, 7801, 314, 8354, 314, 271, 14963, 2652, 7801, 314, 8354, 314, 272, 14963, 6769, 2018, 2132, 8771, 1477, 825, 2132, 6936, 5897, 3698, 3113, 274, 3712, 1681, 15461, 318, 845, 3121, 14116, 1429, 281, 8641, 264, 9847, 16754, 6769, 825, 5727, 292, 2310, 569, 6971, 519, 476, 274, 12258, 1681, 1966, 540, 519, 2016, 3113, 883, 513, 1477, 825, 6916, 6636, 1966, 269, 5897, 825, 30352, 6769, 1038, 3113, 281, 3113, 4171, 476, 274, 12258, 1681, 1966, 547, 2569, 23228, 1038, 1477, 825, 16849, 6769, 1038, 589, 20790, 531, 4542, 602, 568, 6916, 4192, 952, 543, 1152, 952, 519, 2016, 1477, 1038, 3113, 568, 476, 274, 12258, 22789, 23228, 825, 5727, 1477, 825, 7682, 568, 14682, 1429, 14116, 1429, 3418, 825, 1948, 8838, 1308, 17130, 476, 273, 269, 1015, 320, 5897, 3698, 7084, 15461, 318, 274, 3712, 1681, 14116, 1429, 281, 8641, 267, 7084, 281, 7844, 264, 9847, 1422, 1477, 1038, 29570, 27776, 267, 703, 316, 6769, 825, 5727, 292, 2310, 569, 21810, 606, 7084, 547, 519, 4542, 7222, 547, 519, 1477, 825, 476, 274, 12258, 1681, 1966, 540, 519, 2016, 3113, 267, 547, 513, 476, 274, 12258, 1681, 540, 519, 2016, 3113, 865, 1477, 825, 602, 519, 476, 274, 12258, 1681, 568, 4570, 952, 543, 1152, 952, 519, 2016, 7084, 568, 1477, 825, 17598, 269, 5897, 825, 30352, 6769, 1038, 3113, 281, 3113, 547, 3132, 513, 476, 274, 12258, 1681, 585, 23228, 1038, 7084, 281, 7084, 547, 519, 4756, 4408, 540, 519, 4542, 8120, 676, 1477, 2018, 2387, 23054, 274, 3712, 1681, 15461, 318, 845, 3121, 319, 315, 12181, 263, 1730, 315, 2387, 23054, 319, 315, 12181, 264, 1730, 269, 5897, 825, 16849, 6769, 1038, 589, 476, 274, 12258, 1681, 540, 519, 2016, 3113, 676, 519, 4778, 476, 272, 267, 476, 273, 267, 543, 476, 274, 602, 568, 4570, 1477, 1038, 952, 543, 1152, 952, 519, 2016, 7084, 25389, 519, 4542, 1477, 1038, 2387, 23054, 274, 3712, 1681, 15461, 318, 845, 3121, 319, 315, 12181, 263, 1730, 315, 2387, 23054, 319, 315, 12181, 264, 1730, 23228, 825, 5727, 1477, 825, 7682, 568, 14682, 1429, 14116, 1429, 3418, 825, 4542, 815, 3113, 274, 3712, 1681, 15461, 318, 845, 3121, 14116, 1429, 3418, 825, 7682, 6218, 263, 845, 3121, 267, 7084, 3418, 825, 1948, 8838, 1308, 17130, 476, 273, 269, 1015, 321, 5897, 3698, 28886, 565, 528, 14682, 1429, 14116, 1429, 281, 8641, 264, 9847, 5742, 314, 300, 6260, 27776, 267, 703, 3910, 7183, 316, 6769, 825, 5727, 4467, 1584, 525, 513, 476, 274, 12258, 1681, 540, 519, 2016, 3113, 269, 5897, 825, 30352, 6769, 1038, 3113, 281, 3113, 547, 476, 274, 12258, 528, 269, 5897, 825, 16849, 6769, 1038, 1323, 17062, 476, 274, 12258, 1681, 540, 519, 2016, 3113, 952, 621, 568, 476, 274, 12258, 22789, 267, 1477, 1038, 12181, 14085, 1730, 6382, 23228, 825, 5727, 1477, 825, 7682, 568, 14682, 1429, 14116, 1429, 3418, 825, 4542, 815, 3113, 274, 3712, 1681, 15461, 318, 845, 3121, 14116, 1429, 3418, 825, 585, 7084, 538, 782, 318, 7116, 1564, 17338, 263, 845, 3121, 18192, 926, 1963, 28829, 8029, 1038, 952, 6218, 263, 845, 3121, 267, 7084, 8029, 2018, 2132, 7084, 15461, 318, 274, 3712, 1681, 14116, 1429, 267, 7084, 3418, 825, 2132, 7183, 1477, 0, 3698, 1451, 28442, 22698, 6847, 22561, 2187, 825, 952, 711, 630, 529, 27349, 6262, 6847, 267, 4289, 15892, 1038, 1576, 17342, 6540, 692, 825, 1576, 6910, 28442, 994, 825, 1820, 6262, 6847, 2020, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 28751, 825, 1451, 2891, 329, 871, 5602, 825, 1451, 2891, 19333, 334, 15419, 0, 5814, 11885, 607, 5286, 454, 3698, 1118, 24512, 318, 5228, 8217, 4433, 727, 8217, 2187, 672, 1820, 4433, 727, 8217, 267, 1826, 4433, 727, 8217, 4917, 672, 930, 8217, 815, 5286, 15126, 4433, 727, 8217, 994, 672, 1820, 4433, 727, 8217, 267, 1826, 4433, 727, 8217, 4917, 672, 2132, 930, 8217, 692, 3698, 1118, 24512, 318, 5228, 20311, 16325, 2187, 825, 1820, 16325, 267, 1826, 16325, 4917, 825, 1007, 19571, 815, 5286, 15126, 8443, 11133, 7481, 825, 1820, 28956, 19571, 267, 7003, 28956, 19571, 4917, 825, 2132, 1007, 19571, 692, 5035, 715, 17056, 15368, 923, 912, 825, 1219, 1039, 318, 541, 7590, 4311, 267, 513, 267, 536, 2187, 1038, 2132, 5286, 14491, 5416, 14720, 2020, 825, 1219, 1039, 24512, 20311, 4311, 267, 513, 267, 1003, 2187, 1038, 2132, 5286, 14491, 5416, 267, 11133, 2020, 825, 1219, 9062, 21223, 2211, 3772, 318, 541, 7590, 4311, 267, 513, 267, 536, 2187, 1038, 2132, 5286, 6230, 738, 17586, 5416, 14720, 2020, 825, 1219, 12297, 7272, 6055, 318, 541, 7590, 4311, 267, 513, 267, 536, 2187, 1038, 2132, 5286, 31715, 5416, 14720, 2020, 825, 1219, 12297, 318, 272, 323, 24512, 318, 273, 323, 24512, 4311, 267, 513, 267, 544, 2187, 1038, 1948, 2015, 519, 476, 273, 323, 5044, 547, 581, 899, 513, 5119, 454, 1038, 2132, 5286, 31715, 5416, 31599, 994, 0, 258, 3231, 2740, 270, 3725, 3598, 2740, 5049, 538, 5124, 256, 594, 1058, 581, 2111, 547, 798, 1732, 2469, 4464, 692, 5814, 19523, 7531, 5035, 4425, 520, 912, 825, 8846, 815, 22373, 301, 2580, 834, 292, 2580, 834, 306, 2580, 834, 310, 257, 6540, 825, 1948, 1064, 815, 1496, 343, 11282, 267, 586, 11282, 2639, 825, 1948, 865, 1341, 343, 568, 5101, 543, 910, 344, 568, 3162, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 3355, 5091, 3925, 267, 3355, 29223, 2187, 1038, 1582, 6155, 597, 318, 785, 815, 1582, 6155, 1311, 687, 28827, 263, 30976, 5091, 3925, 994, 1038, 1582, 269, 1842, 815, 3355, 29223, 692, 825, 1219, 1205, 5091, 3925, 4311, 2187, 1038, 2132, 1582, 6155, 1311, 687, 314, 1345, 6155, 597, 318, 785, 6540, 825, 1219, 1205, 29223, 4311, 2187, 1038, 2132, 1582, 269, 1842, 692, 825, 1219, 17967, 4311, 267, 4287, 267, 5232, 2187, 1038, 952, 5232, 2999, 476, 271, 912, 2018, 952, 4287, 2652, 834, 299, 13426, 3546, 4287, 815, 834, 305, 4840, 2018, 3116, 912, 3546, 4287, 815 ]

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

[ 1087, 328, 267, 13604, 267, 723, 1044, 4389, 547, 6071, 3552, 267, 10414, 2275, 571, 7458, 7068, 563, 25324, 976, 540, 9314, 454, 268, 834, 296, 993, 711, 513, 590, 603, 269, 594, 798, 711, 2671, 741, 1973, 4799, 268, 722, 499, 306, 528, 345, 639, 14271, 454, 2750, 6150, 1739, 519, 25569, 5729, 14730, 1145, 267, 29813, 345, 639, 14271, 729, 513, 4775, 14730, 808, 2664, 5828, 590, 603, 7083, 1310, 519, 14710, 540, 519, 590, 603, 693, 31704, 1026, 534, 269, 14271, 729, 513, 4487, 620, 17057, 626, 543, 7463, 538, 519, 5137, 540, 6211, 9604, 543, 9118, 590, 603, 4944, 11921, 563, 8601, 519, 4527, 540, 1200, 1303, 4861, 539, 1560, 610, 711, 267, 14271, 781, 6891, 666, 543, 786, 2408, 1369, 1200, 544, 9476, 1961, 636, 781, 6821, 269, 1401, 24851, 18348, 1648, 543, 17947, 676, 513, 8628, 14334, 267, 14271, 5526, 693, 786, 9170, 1369, 519, 2497, 269, 18614, 2995, 602, 1352, 568, 1634, 547, 581, 5827, 540, 17729, 538, 2789, 6753, 8195, 267, 543, 20240, 3842, 3504, 20801, 338, 563, 3080, 540, 519, 6574, 590, 603, 700, 3581, 538, 1686, 267, 14271, 729, 5827, 540, 9001, 5759, 19039, 569, 4503, 547, 519, 14730, 808, 2664, 19656, 3125, 269, 25175, 1447, 982, 513, 9835, 9457, 1131, 581, 18174, 880, 547, 4497, 1256, 519, 24790, 540, 1200, 2899, 2941, 648, 531, 1106, 563, 268, 834, 763, 2290, 590, 603, 4229, 1934, 3100, 547, 581, 3366, 676, 513, 667, 1755, 338, 267, 711, 4010, 1018, 649, 4397, 950, 649, 8452, 269, 1261, 4667, 513, 10800, 731, 267, 2141, 10483, 676, 1079, 610, 1614, 667, 987, 558, 21105, 21373, 1562, 4799, 268, 722, 499, 309, 4069, 27311, 7797, 715, 268, 22903, 280, 1724, 268, 274, 454, 29820, 593, 519, 4541, 667, 1755, 338, 267, 962, 984, 323, 15089, 568, 513, 17288, 1032, 2025, 590, 603, 7083, 269, 28527, 689, 513, 1272, 540, 5763, 543, 1303, 1856, 618, 267, 646, 3533, 9782, 998, 519, 16034, 540, 11633, 16370, 267, 513, 5599, 6109, 269, 3571, 2759, 628, 9130, 12485, 543, 2347, 1852, 540, 667, 1755, 338, 262, 536, 10740, 543, 9729, 2670, 5599, 4238, 6488, 539, 962, 984, 323, 1102, 18081, 602, 3366, 547, 1010, 6602, 676, 11023, 628, 918, 2001, 339, 538, 476, 1789, 9474, 312, 269, 3571, 2178, 4276, 547, 519, 10414, 729, 3533, 4857, 267, 4611, 538, 1010, 2866, 538, 519, 2081, 540, 519, 590, 603, 593, 31704, 1026, 534, 563, 6124, 569, 12912, 547, 590, 603, 7083, 267, 962, 984, 323, 15089, 729, 8655, 547, 1291, 519, 2290, 590, 603, 781, 1651, 2720, 542, 547, 715, 9110, 326, 2967, 269, 3571, 8810, 8990, 1305, 3597, 609, 519, 7287, 547, 2132, 547, 11023, 628, 918, 2001, 339, 609, 29667, 344, 5827, 540, 9750, 519, 1379, 540, 519, 2290, 590, 603, 269, 3143, 2339, 519, 1942, 267, 713, 590, 603, 7083, 786, 4019, 782, 1010, 1983, 547, 5275, 543, 13844, 1022, 14951, 547, 581, 1336, 563, 9199, 1441, 676, 513, 5449, 715, 2074, 3563, 267, 962, 984, 323, 4607, 543, 2919, 5759, 2565, 547, 1010, 8396, 1438, 7907, 593, 715, 9110, 326, 599, 269, 1452, 7060, 1331, 519, 946, 540, 27411, 514, 262, 291, 3863, 267, 31048, 540, 645, 686, 541, 267, 1306, 1051, 540, 23566, 267, 543, 519, 2702, 540, 519, 1744, 20760, 918, 14525, 563, 14367, 9053, 9604, 616, 513, 8279, 629, 518, 543, 1025, 2120, 29937, 539, 538, 512, 30802, 269, 1306, 606, 3773, 3463, 547, 1010, 2907, 23773, 1983, 267, 962, 984, 323, 568, 2141, 10483, 676, 1063, 1079, 543, 1614, 667, 987, 558, 597, 534, 21373, 1562, 11439, 609, 6052, 645, 3298, 267, 9604, 5827, 540, 20590, 31211, 540, 11919, 602, 6146, 14678, 563, 307, 655, 921, 540, 29813, 345, 639, 14271, 306, 603, 12738, 563, 763, 13675, 547, 519, 11454, 568, 4092, 896, 519, 5394, 26570, 24588, 540, 715, 9110, 326, 2967, 267, 1818, 1022, 19666, 1935, 7543, 269, 634, 5354, 540, 519, 11454, 568, 4092, 1369, 513, 20077, 856, 10239, 728, 609, 519, 13675, 6825, 676, 6698, 1657, 519, 1292, 2895, 3118, 29544, 29813, 345, 639, 14271, 269, 634, 30810, 540, 519, 10239, 728, 1950, 849, 3568, 1896, 824, 9723, 2125, 267, 2519, 20830, 267, 543, 8021, 6131, 547, 4974, 519, 2729, 540, 519, 1082, 590, 603, 700, 3581, 12617, 972, 269, 589, 18596, 6249, 602, 568, 5612, 18476, 693, 519, 13675, 540, 519, 9744, 568, 519, 7745, 22225, 16841, 267, 799, 616, 538, 519, 3337, 540, 513, 6906, 267, 835, 799, 14271, 13948, 9053, 607, 7074, 676, 519, 3090, 2429, 519, 11454, 269, 634, 1292, 2497, 540, 519, 11454, 568, 849, 538, 519, 3337, 540, 513, 18158, 563, 763, 11454, 3294, 568, 8499, 1630, 984, 344, 16290, 543, 3568, 3504, 530, 1841, 547, 948, 2149, 519, 8699, 540, 519, 2497, 689, 13311, 3544, 28164, 269, 634, 26570, 4478, 519, 11454, 568, 6870, 676, 519, 18939, 540, 519, 2892, 557, 6004, 331, 1087, 328, 543, 19537, 996, 657, 267, 11439, 609, 1152, 2241, 9604, 543, 513, 25229, 21747, 2702, 547, 1852, 519, 10414, 269, 1358, 616, 711, 1419, 1336, 3330, 519, 1950, 3294, 267, 855, 789, 616, 811, 982, 8348, 547, 11371, 8775, 593, 519, 960, 540, 741, 11937, 538, 1931, 547, 9004, 1022, 3544, 4229, 269, 634, 2370, 7320, 602, 568, 593, 519, 4541, 30417, 519, 11454, 693, 782, 3790, 267, 1034, 2693, 1813, 547, 922, 5393, 2178, 4276, 547, 519, 14730, 17121, 540, 519, 10414, 563, 305, 2658, 9197, 1662, 13505, 454, 4913, 267, 607, 4411, 543, 964, 25544, 607, 519, 681, 2658, 5526, 547, 581, 267, 621, 568, 513, 9675, 585, 930, 540, 519, 18348, 539, 6004, 331, 1087, 328, 945, 1265, 2933, 10912, 519, 6928, 1753, 269, 12344, 544, 5417, 2989, 676, 519, 10414, 267, 610, 4782, 2590, 519, 2028, 1023, 540, 519, 3504, 10617, 1222, 2864, 982, 519, 18894, 15130, 9552, 540, 519, 715, 9110, 326, 2967, 512, 1495, 571, 267, 519, 6004, 331, 1087, 328, 723, 3262, 2933, 2429, 1082, 735, 25902, 540, 519, 6928, 1247, 849, 6028, 1454, 540, 621, 23257, 1819, 1256, 676, 741, 1378, 1004, 936, 519, 1296, 563, 763, 811, 2487, 2290, 590, 603, 30295, 723, 13175, 741, 29293, 540, 519, 6928, 267, 3843, 547, 2057, 519, 6004, 331, 1087, 328, 20948, 6810, 1247, 10478, 585, 882, 923, 602, 949, 3180, 1702, 267, 1379, 267, 610, 6272, 585, 3504, 9604, 543, 23640, 547, 948, 24772, 741, 4229, 563, 6826, 16442, 519, 2480, 25333, 454, 763, 3769, 1686, 16621, 1082, 1875, 6741, 322, 1881, 2609, 540, 519, 10060, 12668, 7122, 267, 4481, 519, 15322, 540, 29813, 345, 639, 14271, 543, 519, 11175, 540, 519, 3312, 590, 603, 7276, 896, 1520, 553, 267, 883, 715, 9110, 326, 2967, 781, 1394, 32143, 269, 769, 1840, 267, 621, 3217, 824, 2609, 689, 681, 22333, 2200, 602, 616, 9598, 730, 676, 6345, 2962, 543, 1568, 873, 883, 519, 1686, 269, 2290, 1383, 540, 713, 1131, 581, 11023, 628, 966, 648, 333, 4543, 519, 808, 2664, 22367, 651, 2319, 7001, 4860, 534, 267, 835, 2009, 6364, 538, 634, 5975, 2001, 531, 540, 11023, 628, 4860, 534, 7045, 7110, 563, 12234, 267, 1483, 1158, 2621, 543, 1344, 941, 849, 11368, 883, 519, 2376, 269, 634, 6243, 543, 590, 603, 6370, 936, 715, 9110, 326, 2967, 1282, 519, 4279, 8895, 12519, 2782, 729, 6273, 676, 519, 2136, 2276, 13108, 543, 13149, 781, 8878, 540, 654, 820, 6816, 1996, 519, 5545, 538, 519, 6679, 2395, 540, 2622, 2782, 4083, 267, 609, 519, 9983, 4323, 593, 31704, 1026, 534, 2921, 519, 1747, 540, 23421, 23320, 269, 634, 1344, 593, 519, 19537, 996, 657, 543, 6004, 331, 1087, 328, 11031, 267, 971, 607, 519, 4908, 540, 1427, 9084, 1759, 15294, 619, 543, 519, 946, 540, 1804, 7786, 607, 513, 3119, 2707, 540, 3940, 267, 729, 1759, 593, 11673, 540, 519, 11031, 540, 1715, 19892, 689, 808, 1563, 27339, 781, 1433, 717, 12584, 267, 15168, 916, 267, 543, 13082, 281, 634, 674, 919, 540, 5274, 5081, 7724, 563, 301, 9110, 326, 2967, 729, 835, 540, 519, 29653, 10785, 540, 18001, 594, 540, 519, 14730, 12724, 1228, 269, 634, 530, 5942, 7127, 729, 2966, 676, 519, 10888, 2319, 547, 1831, 17374, 269, 9122, 593, 519, 2164, 540, 18001, 594, 267, 1773, 6558, 529, 729, 13752, 519, 1318, 547, 1827, 715, 9110, 326, 2967, 269, 0, 14722, 1175, 22942, 539, 950, 3425, 2968, 851, 3026, 6387, 11209, 563, 307, 5281, 856, 3425, 723, 1044, 31362, 519, 4541, 585, 513, 1360, 267, 1360, 1279, 942, 563, 288, 1007, 2007, 1500, 930, 4241, 8906, 827, 519, 27487, 540, 513, 476, 273, 267, 1822, 4458, 6040, 10340, 563, 13425, 856, 606, 18303, 4837, 321, 27172, 18638, 609, 803, 4092, 1152, 513, 1906, 3108, 2476, 689, 519, 9998, 15456, 2963, 540, 519, 1148, 563, 12867, 2161, 513, 5063, 4362, 6149, 28973, 729, 1031, 547, 1376, 11642, 563, 4322, 21219, 941, 12617, 538, 13243, 585, 5553, 3267, 2394, 1004, 25653, 873, 909, 543, 5828, 873, 883, 513, 10918, 4155, 563, 19425, 2801, 5505, 538, 7977, 4362, 3504, 4522, 609, 1804, 19659, 267, 11021, 602, 25185, 4422, 1394, 513, 2603, 3476, 982, 649, 2219, 563, 291, 2426, 6602, 7028, 24085, 262, 3069, 540, 1141, 14610, 781, 29988, 7601, 15183, 941, 4092, 563, 5804, 7284, 656, 529, 547, 4432, 16910, 5964, 267, 891, 3504, 12977, 2611, 607, 12357, 607, 519, 6939, 545, 17691, 4478, 873, 563, 23873, 10136, 6728, 539, 538, 5840, 1743, 1678, 513, 2898, 2603, 540, 14326, 547, 1832, 741, 14326, 909, 1282, 519, 2112, 563, 2467, 781, 1100, 782, 3917, 537, 2275, 534, 3887, 520, 10889, 564, 855, 596, 1223, 723, 905, 16556, 593, 10153, 1161, 267, 4453, 338, 543, 18683, 563, 5445, 1336, 513, 6928, 342, 516, 1188, 267, 4154, 11113, 543, 1256, 606, 3504, 1931, 540, 29843, 563, 763, 4155, 267, 5063, 4362, 2282, 13243, 267, 729, 2899, 519, 8905, 585, 900, 30752, 563, 1607, 7499, 15224, 1336, 538, 5840, 2838, 1412, 23855, 1670, 1702, 543, 4058, 25692, 14722, 4974, 476, 7785, 4458, 6040, 20341, 6961, 519, 2520, 558, 8568, 2361, 568, 711, 2469, 547, 14897, 269, 0, 763, 32021, 21840, 5403, 454, 2304, 3486, 10554, 14736, 539, 1055, 593, 13723, 538, 14642, 5979, 267, 16157, 781, 3854, 2749, 267, 547, 1865, 2081, 547, 24772, 4027, 540, 9341, 7733, 267, 799, 5171, 3858, 1223, 948, 3565, 547, 3646, 547, 3247, 2518, 8337, 563, 763, 14642, 5979, 23427, 11206, 17072, 267, 6896, 676, 519, 21785, 10837, 585, 4886, 29046, 267, 786, 4183, 1079, 1164, 7400, 726, 32418, 7886, 602, 786, 1331, 14245, 593, 519, 5767, 2257, 827, 519, 2956, 540, 7733, 585, 2916, 543, 1646, 3853, 563, 2005, 786, 849, 4183, 513, 8470, 4901, 593, 519, 1533, 540, 1404, 538, 2474, 540, 3356, 4724, 9072, 547, 1439, 17717, 563, 302, 5055, 4432, 4034, 340, 523, 267, 21785, 14012, 585, 2916, 543, 1604, 1767, 519, 1158, 729, 6849, 3978, 2042, 540, 17717, 5103, 3646, 538, 519, 2250, 476, 1015, 1296, 547, 11574, 519, 1966, 563, 10454, 3510, 568, 1869, 3978, 543, 922, 3978, 1145, 666, 1405, 581, 936, 26061, 269, 1809, 1927, 609, 782, 4891, 621, 568, 2009, 547, 1439, 519, 2530, 540, 9341, 4104, 2437, 4432, 4034, 340, 523, 1767, 563, 24154, 7588, 1014, 2916, 10196, 24883, 12321, 516, 1767, 519, 1158, 2877, 547, 2097, 909, 609, 1007, 1797, 547, 11177, 9341, 4104, 5612, 563, 20442, 1810, 1405, 723, 476, 1789, 1296, 269, 1284, 1152, 723, 513, 8717, 547, 3479, 547, 2101, 556, 16396, 2437, 12321, 516, 1767, 563, 763, 10554, 3323, 607, 1007, 1867, 689, 519, 6820, 11206, 13772, 19674, 267, 6029, 602, 9341, 7733, 1472, 519, 8608, 4503, 476, 1428, 269, 279, 2929, 25614, 630, 4375, 2929, 14143, 264, 540, 3529, 3382, 538, 476, 1001, 278, 2443, 606, 1858, 519, 2450, 540, 16273, 269, 2334, 2306, 476, 1001, 278, 519, 2034, 2914, 528, 560, 1032, 593, 2594, 267, 1310, 476, 1001, 277, 267, 2094, 3173, 3459, 11018, 519, 1239, 538, 476, 1220, 272, 269, 0, 18893, 673, 16544, 540, 3752, 1749, 454, 2421, 19291, 654, 2393, 523, 454, 21812, 281, 14288, 4964, 476, 3192, 273, 454, 10831, 540, 3817, 281, 476, 18605, 454, 763, 1459, 1433, 8942, 547, 6445, 513, 991, 585, 513, 4909, 1837, 799, 6941, 519, 9804, 3601, 540, 17571, 269, 898, 568, 5921, 547, 2491, 513, 1297, 540, 1271, 2035, 2864, 982, 1459, 513, 2347, 5619, 540, 8097, 1239, 563, 12606, 610, 1224, 621, 2228, 585, 1863, 1934, 912, 2421, 4236 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23401, 6978, 6482, 267, 4829, 6482, 543, 1106, 269, 3973, 267, 789, 29979, 891, 5439, 609, 8978, 12015, 267, 20399, 15013, 10710, 538, 10786, 7559, 538, 15882, 543, 7762, 23307, 10651, 1158, 2647, 2443, 1927, 609, 513, 19494, 6394, 538, 476, 12293, 280, 689, 519, 670, 5960, 7736, 324, 2948, 30576, 720, 3366, 676, 18279, 6276, 16259, 12129, 563, 26139, 1369, 519, 2978, 593, 519, 9628, 15636, 23307, 7982, 12881, 267, 519, 3173, 9916, 3152, 982, 476, 1220, 1880, 1268, 3694, 26258, 15013, 267, 2519, 15866, 593, 6079, 1652, 3694, 26258, 689, 853, 269, 27673, 543, 570, 1695, 16951, 538, 1840, 547, 5439, 689, 1158, 2647, 269, 634, 1505, 7255, 25935, 543, 15971, 5027, 689, 6978, 5439, 269, 7324, 560, 891, 5439, 267, 519, 3173, 538, 519, 1439, 6444, 5216, 1292, 3486, 3694, 26258, 1899, 1137, 2443, 476, 276, 540, 602, 616, 4362, 1369, 519, 12144, 543, 2386, 24901, 519, 2189, 476, 9692, 274, 4367, 676, 519, 670, 5960, 6489, 6420, 563, 2108, 6546, 568, 606, 13858, 4161, 2223, 5018, 667, 1014, 324, 681, 698, 821, 267, 8689, 900, 518, 7978, 540, 519, 29968, 26258, 4659, 593, 519, 13780, 4204, 23427, 15636, 19680, 7982, 12881, 538, 16127, 267, 4983, 1071, 27236, 543, 2098, 699, 8615, 779, 5449, 9666, 518, 269, 968, 3528, 8047, 267, 10786, 10740, 543, 5399, 2079, 543, 2361, 1740, 538, 570, 1695, 16951, 543, 519, 12144, 543, 676, 1565, 3694, 26258, 16025, 24721, 593, 519, 13780, 4204, 23427, 15636, 19680, 7982, 12881, 538, 16127, 267, 1614, 5481, 540, 6690, 3744, 1185, 1044, 538, 513, 2990, 547, 1459, 3435, 547, 513, 5553, 6040, 4278, 14525, 281, 2048, 7617, 12204, 540, 3694, 26258, 1705, 18279, 2349, 662, 6338, 883, 519, 12144, 286, 262, 7536, 17780, 6140, 593, 4505, 960, 676, 2098, 699, 8615, 543, 1866, 267, 972, 616, 3875, 3063, 3486, 3694, 26258, 1899, 1137, 950, 519, 8799, 2039, 540, 6079, 539, 28212, 689, 7909, 807, 616, 3769, 269, 634, 1459, 4983, 6098, 11207, 593, 6079, 1652, 3694, 26258, 563, 14071, 6444, 476, 276, 4719, 1899, 1137, 1369, 519, 12144, 267, 799, 13292, 1018, 649, 1459, 538, 930, 8978, 5931, 2223, 10748, 328, 5018, 269, 968, 2005, 729, 13858, 547, 751, 848, 11735, 713, 3140, 2250, 543, 21656, 3694, 26258, 779, 2039, 1369, 519, 12144, 1024, 558, 1227, 585, 519, 3119, 942, 3034, 2108, 15239, 11383, 267, 972, 1223, 849, 581, 3063, 12204, 540, 3694, 26258, 538, 853, 269, 27673, 982, 938, 4719, 2994, 949, 3313, 607, 513, 1267, 540, 789, 2461, 865, 32348, 2404, 2223, 2098, 699, 8615, 5018, 269, 968, 10214, 950, 649, 798, 711, 3605, 4719, 7648, 10838, 7031, 602, 2043, 3651, 11207, 1114, 4408, 547, 267, 891, 4408, 20866, 723, 4644, 543, 4502, 3034, 15987, 3694, 26258, 3323, 609, 513, 4158, 880, 3140, 2250, 1369, 519, 12144, 607, 10553, 6980, 267, 519, 14312, 4829, 6038, 5828, 606, 1898, 513, 851, 540, 6532, 1426, 1544, 543, 2245, 269, 17859, 540, 2348, 968, 26258, 892, 538, 922, 2140, 267, 3694, 26258, 568, 588, 8944, 543, 6079, 1652, 267, 2921, 851, 538, 513, 11477, 2990, 3063, 899, 513, 15837, 269, 2271, 1836, 2404, 547, 13544, 26258, 267, 519, 8770, 11656, 6980, 568, 7050, 538, 6775, 267, 9422, 8324, 543, 6886, 269, 769, 922, 5065, 7909, 807, 519, 1747, 3694, 26258, 729, 30042, 267, 2043, 723, 1044, 10438, 3694, 26258, 585, 7366, 540, 1296, 2443, 2436, 610, 711, 2848, 3139, 267, 28777, 267, 22304, 610, 25496, 269, 29968, 26258, 10123, 786, 581, 2968, 7912, 267, 865, 607, 547, 561, 1263, 6533, 922, 15808, 1272, 563, 2026, 4166, 607, 3964, 267, 513, 2582, 3694, 26258, 3529, 666, 21078, 585, 1082, 1296, 267, 6721, 3875, 5613, 12422, 269, 1656, 267, 607, 513, 1267, 540, 621, 568, 513, 21064, 7693, 267, 621, 10123, 3340, 1454, 1447, 21755, 4283, 630, 4248, 543, 13226, 264, 982, 5993, 7031, 602, 1058, 581, 4562, 5896, 12422, 269, 6145, 1114, 16025, 267, 621, 10123, 3524, 22246, 3327, 8166, 689, 519, 1604, 563, 2108, 9288, 1023, 3106, 543, 6980, 16285, 585, 519, 1739, 26992, 6013, 1369, 519, 9118, 2150, 11474, 4960, 540, 3694, 26258, 2223, 5018, 23583, 808, 10422, 269, 1744, 9994, 267, 4983, 1071, 27236, 267, 945, 729, 1225, 1807, 540, 519, 853, 269, 27673, 15636, 19680, 7982, 12881, 593, 519, 942, 540, 519, 2079, 563, 28606, 17067, 713, 29757, 267, 2098, 699, 8615, 543, 3345, 13523, 2199, 4365, 3744, 30363, 835, 824, 4983, 630, 516, 557, 4705, 538, 12813, 5308, 10871, 4365, 1070, 799, 4362, 602, 3694, 26258, 568, 2523, 14388, 1369, 519, 3068, 540, 1480, 27351, 4310, 2199, 4365, 1689, 269, 9282, 1114, 20013, 7031, 22617, 548, 538, 521, 11170, 1782, 6381, 267, 519, 3173, 3589, 602, 19249, 6381, 1223, 723, 1454, 1447, 1764, 593, 3694, 26258, 269, 12791, 621, 949, 1404, 606, 1898, 2990, 538, 7303, 2916, 12454, 27781, 563, 763, 4983, 267, 968, 299, 9722, 3694, 26258, 5252, 541, 4408, 2429, 519, 8608, 13462, 12583, 1310, 476, 15996, 1296, 540, 9668, 2223, 729, 6462, 676, 519, 7982, 12881, 16840, 1222, 540, 3013, 267, 15636, 19680, 5980, 540, 3013, 267, 519, 4659, 585, 20885, 543, 5295, 693, 3345, 13523, 1763, 333, 1157, 4317, 21478, 8750, 543, 519, 3345, 13523, 5441, 1325, 4379, 2801, 5811, 13815, 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 ]

[ 0, 13775, 4989, 476, 1220, 273, 454, 2421, 2974, 13871, 7734, 4586, 24309, 538, 2296, 454, 347, 6944, 1026, 1903, 1475, 305, 659, 3559, 28243, 630, 26877, 755, 15249, 10245, 21511, 8447, 8629, 2008, 31871, 540, 9664, 1475, 2764, 2008, 763, 2229, 568, 2921, 2476, 2596, 22624, 11292, 896, 519, 9139, 269, 901, 5363, 3391, 3947, 513, 2312, 5075, 540, 1018, 707, 2924, 616, 543, 875, 596, 666, 2149, 873, 269, 769, 1931, 547, 5963, 1174, 519, 22624, 649, 723, 607, 1004, 540, 519, 2136, 2276, 267, 649, 1590, 4628, 10146, 938, 9139, 543, 519, 4128, 1946, 938, 5853, 532, 12429, 338, 25282, 621, 270, 276, 14061, 7638, 572, 910, 1656, 952, 1022, 812, 4927, 1491, 2476, 689, 519, 1913, 540, 519, 1433, 540, 713, 28897, 267, 2696, 4927, 1491, 2476, 1010, 851, 856, 540, 519, 1433, 540, 1272, 267, 543, 856, 540, 519, 13411, 2749, 267, 543, 689, 519, 1919, 799, 616, 2854, 538, 713, 1433, 282, 689, 519, 3529, 540, 1272, 282, 1775, 4318, 269, 602, 5018, 538, 2357, 269, 476, 273, 543, 538, 2357, 269, 476, 1691, 267, 1141, 849, 519, 2749, 568, 5018, 269, 4634, 689, 519, 1919, 2854, 538, 713, 1433, 4667, 547, 581, 519, 1483, 2495, 540, 269, 8074, 281, 13022, 725, 616, 1759, 593, 4704, 4441, 269, 1717, 267, 11249, 3652, 666, 4268, 4922, 1063, 3156, 543, 4610, 540, 1719, 610, 1353, 269, 634, 1808, 4170, 610, 7375, 540, 707, 17265, 17404, 267, 4928, 4116, 267, 9872, 610, 3919, 1058, 581, 4294, 269, 14171, 2476, 907, 1496, 298, 13873, 21563, 656, 5336, 1961, 316, 4534, 1323, 4367, 547, 12408, 1210, 1806, 689, 4948, 3871, 547, 9414, 519, 2035, 3238, 269, 570, 2586, 689, 513, 3126, 799, 2488, 606, 4367, 547, 10867, 13004, 3584, 267, 713, 1433, 9388, 609, 12408, 269, 11822, 13354, 15819, 12857, 519, 5467, 547, 713, 1641, 563, 339, 820, 2476, 642, 321, 630, 13700, 267, 30163, 264, 547, 20952, 282, 10208, 281, 1491, 2476, 2185, 689, 8370, 547, 4734, 2947, 269, 3341, 14263, 281, 8370, 1491, 2476, 2185, 568, 2947, 269, 7755, 476, 272, 269, 630, 290, 809, 2044, 264, 630, 1993, 1426, 610, 4235, 264, 338, 1245, 585, 4616, 2476, 689, 519, 22402, 593, 799, 621, 568, 5423, 281, 513, 1491, 12537, 7594, 269, 476, 273, 269, 630, 290, 809, 2044, 264, 8600, 543, 9513, 1426, 585, 4616, 2476, 689, 519, 22402, 281, 513, 1491, 12537, 4095, 269, 21261, 894, 4828, 281, 7641, 568, 14171, 589, 3118, 519, 13206, 527, 540, 7335, 7734, 17451, 2094, 519, 8798, 540, 2835, 267, 2542, 814, 1044, 513, 2442, 2250, 942, 609, 1346, 2111, 547, 1224, 269, 1306, 7924, 2157, 2799, 267, 2542, 4166, 2968, 1945, 602, 519, 5354, 540, 519, 2551, 10150, 267, 543, 1317, 7924, 543, 2542, 616, 7533, 547, 1142, 824, 267, 519, 811, 1004, 269, 15531, 513, 3883, 1879, 1411, 4312, 1280, 326, 13516, 4706, 7170, 676, 717, 30591, 3794, 1794, 518, 267, 18058, 715, 913, 332, 6744, 856, 5697, 2164, 689, 12924, 12195, 7170, 2372, 652, 2073, 4371, 4864, 476, 273, 267, 2073, 607, 1134, 607, 7170, 2372, 652, 901, 568, 606, 9337, 540, 513, 3105, 2022, 676, 1744, 16336, 681, 6506, 517, 269, 898, 666, 581, 9157, 547, 3314, 519, 2140, 543, 2278, 540, 513, 1433, 596, 1224, 513, 1279, 942, 3516, 8191, 281, 717, 30591, 3794, 1794, 518, 269, 14271, 11618, 585, 1491, 2476, 693, 609, 1863, 2228, 519, 28445, 267, 1884, 11618, 267, 543, 8847, 269, 4855, 10855, 8925, 585, 1491, 2476, 563, 289, 1043, 12411, 525, 6168, 17006, 1677, 634, 6426, 31694, 910, 1656, 952, 1022, 812, 4927, 1491, 2476, 689, 519, 1913, 540, 519, 1433, 540, 713, 28897, 267, 2696, 4927, 1491, 2476, 1010, 851, 856, 540, 519, 1433, 540, 1272, 267, 543, 856, 540, 519, 13411, 2749, 267, 543, 1496, 5228, 316, 519, 1919, 799, 616, 2854, 538, 713, 1433, 269, 3143, 2859, 14171, 589, 3118, 1234, 947, 543, 4033, 9046, 1738, 2598, 23002, 13756, 1433, 269, 3367, 476, 277, 8039, 689, 519, 1158, 781, 4102, 2146, 585, 3988, 269, 674, 745, 1598, 730, 676, 1315, 276, 269, 769, 1142, 1433, 513, 8026, 19829, 543, 606, 2069, 11001, 2697, 606, 23696, 2259, 282, 17412, 1018, 519, 1382, 5267, 827, 1946, 282, 543, 1469, 1382, 2861, 267, 8810, 2853, 547, 5372, 621, 543, 2087, 2875, 1565, 269, 3367, 513, 3732, 3184, 689, 3143, 2859, 14171, 589, 3118, 1234, 947, 543, 4033, 9046, 1738, 2598, 23002, 13756, 269, 1703, 616, 1079, 1360, 1271, 267, 3982, 267, 543, 2556, 2081, 547, 1224, 519, 6426, 269, 634, 1034, 1455, 568, 547, 1224, 519, 3003, 6426, 607, 835, 6024, 1650, 540, 20778, 689, 519, 1448, 540, 519, 12096, 540, 8103, 547, 519, 5250, 540, 2441, 779, 5783, 593, 3047, 627, 545, 269, 0, 7474, 2835, 593, 2112, 723, 547, 798, 609, 971, 1919, 607, 2309, 1143, 538, 8888, 4566, 267, 543, 519, 7503, 540, 838, 625, 267, 789, 3180, 602, 519, 1148, 568, 1799, 7394, 543, 7938, 20564, 540, 513, 27041, 269, 1452, 1004, 11716, 519, 1249, 602, 519, 2090, 540, 938, 5640, 543, 519, 3540, 7245, 540, 938, 8387, 849, 2154, 11931, 3498, 543, 2259, 1354, 4398, 568, 6603, 269, 634, 606, 857, 757, 941, 3226, 669, 776, 540, 3850, 6071, 18051, 1182, 547, 7762, 577, 741, 960, 269, 1284, 777, 976, 616, 536, 2033, 995, 543, 19509, 724, 1154, 829, 559, 748, 282, 543, 8259, 513, 2489, 568, 538, 3586, 2259, 267, 646, 11129, 711, 547, 9651, 824, 2367, 779, 2729, 538, 6370, 269, 9747, 621, 568, 1898, 602, 6129, 570, 345, 385, 511, 779, 476, 1724, 11271, 1058, 581, 6594, 269, 670, 19561, 836, 9149, 836, 1031, 547, 4051, 1010, 683, 15343, 342, 15616, 538, 519, 1148, 540, 2112, 269, 15616, 3893, 513, 11315, 2856, 540, 519, 1148, 538, 922, 2489, 26971, 267, 855, 1131, 711, 11654, 1010, 2090, 547, 741, 1697, 6364, 267, 519, 12343, 1373, 602, 646, 729, 19509, 333, 958, 17204, 543, 24057, 3497, 269, 1261, 1705, 711, 29311, 602, 519, 15361, 543, 1148, 328, 16667, 806, 540, 2112, 616, 3564, 11913, 19106, 269, 16099, 670, 19561, 836, 540, 590, 2426, 543, 3751, 962, 523, 540, 670, 338, 6686, 941, 4547, 547, 9552, 676, 741, 3765, 31419, 8103, 269, 634, 30217, 748, 543, 896, 8518, 2470, 540, 2112, 19329, 519, 946, 540, 1368, 850, 543, 14404, 720, 332, 14018, 547, 519, 8317, 269, 1703, 568, 513, 2013, 593, 2594, 540, 25230, 639, 5128, 2348, 26991, 606, 970, 9285, 522, 987, 267, 543, 849, 540, 1010, 2348, 2451, 519, 590, 2426, 3557, 538, 24320, 1047, 269, 2052, 649, 1287, 22672, 8393, 818, 571, 793, 6129, 570, 345, 385, 511, 585, 23304, 8973, 5168, 543, 19969, 888, 268, 901, 568, 513, 2864, 21372, 782, 4288, 547, 570, 810, 932, 10224, 267, 29635, 354, 482, 10429, 361, 267, 2473, 18958, 296, 269, 476, 275, 267, 1141, 17578, 6686, 7302, 8072, 534, 3081, 281, 476, 31878, 20069, 419, 378, 492, 421, 490, 355, 21251, 12916, 379, 32512, 11858, 372, 420, 352, 377, 419, 482, 487, 968, 2252, 596, 723, 513, 4062, 540, 4190, 2156, 322, 1228, 267, 596, 786, 711, 2308, 513, 6071, 15226, 547, 1118, 621, 909, 3034, 268, 595, 325, 269, 28001, 570, 17845, 932, 532, 267, 669, 269, 476, 4029, 281, 476, 10429, 369, 26033, 483, 21251, 419, 354, 354, 18263, 489, 417, 503, 357, 563, 268, 6129, 670, 28410, 3917, 523, 1522, 723, 20926, 25230, 639, 1586, 269, 6423, 700, 684, 962, 6686, 267, 2473, 7656, 269, 476, 3066, 267, 476, 1789, 563, 268, 14568, 1634, 607, 670, 19561, 836, 22614, 378, 377, 962, 6686, 1496, 289, 5861, 269, 476, 22001, 1765, 1708, 14073, 268, 634, 3791, 1851, 519, 476, 11590, 498, 25263, 363, 630, 528, 28859, 506, 372, 264, 679, 10179, 730, 593, 533, 269, 476, 15221, 269, 1280, 519, 10071, 5219, 547, 267, 1294, 570, 810, 932, 10224, 267, 13127, 481, 500, 10429, 361, 267, 30619, 2862, 269, 476, 275, 563, 268, 6423, 24101, 571, 267, 533, 269, 1535, 12858, 267, 4063, 476, 275, 563, 268, 1744, 8811, 15616, 267, 669, 269, 476, 5325, 267, 535, 269, 476, 278, 887, 454, 268, 25592, 573, 1421, 669, 269, 476, 4343, 267, 535, 269, 476, 279, 21350, 0, 300, 26090, 11608, 616, 12747, 11608, 602, 616, 14916, 14475, 585, 1585, 4108, 3156, 971, 607, 3560, 267, 543, 3406, 543, 15063, 269, 13639, 11608, 616, 2966, 547, 1685, 19408, 4247, 267, 799, 3947, 873, 606, 6316, 936, 824, 2757, 7405, 269, 1358, 723, 519, 12588, 547, 16641, 10546, 17061, 865, 607, 547, 9718, 519, 4182, 689, 3444, 8473, 6285, 269, 22547, 538, 5092, 689, 22257, 543, 8878, 9922, 547, 23144, 543, 1020, 4108, 11608, 547, 973, 20234, 1619, 585, 4108, 7787, 1944, 568, 4397, 547, 5397, 519, 4108, 11608, 2344, 936, 519, 9472, 1974, 269, 1234, 10293, 540, 7952, 10136, 610, 4421, 619, 609, 1480, 1355, 11608, 568, 4397, 547, 4412, 601, 519, 3747, 585, 4108, 11608, 538, 519, 2282, 2104, 269, 7605, 1824, 538, 519, 26462, 2872, 948, 547, 2569, 1480, 25096, 267, 10512, 1942, 267, 2087, 7207, 540, 4323, 267, 543, 5838, 3608, 13178, 563, 7476, 12726, 25767, 912, 305, 1047, 538, 7678, 540, 19025, 568, 4397, 547, 5397, 519, 2208, 540, 4108, 11608, 28354, 269, 1452, 19025, 616, 1134, 9280, 609, 8596, 267, 12445, 1949, 267, 543, 15870, 799, 2337, 547, 5838, 3510, 5359, 547, 10136, 267, 771, 1301, 23038, 267, 543, 849, 948, 538, 15063, 543, 3406, 4238, 269, 1133, 2181, 13484, 2208, 538, 3747, 585, 6186, 13087, 19025, 585, 946, 538, 2244, 1759, 543, 17189, 3156, 568, 10567, 547, 5397, 519, 2208, 540, 4108, 17562, 2344, 936, 519, 9472, 1974, 269, 27997, 7835, 538, 2029, 723, 1500, 621, 2009, 585, 2518, 9755, 547, 3888, 543, 1020, 7207, 538, 772, 16787, 338, 865, 607, 547, 2569, 519, 5506, 540, 2458, 4288, 609, 8484, 338, 543, 824, 23197, 6472, 269, 634, 772, 2529, 269, 5794, 10414, 814, 15748, 543, 11368, 1114, 5686, 540, 8596, 593, 772, 16787, 338, 971, 607, 6850, 19945, 3749, 12514, 543, 6808, 16580, 21084, 1949, 269, 1452, 772, 16787, 338, 948, 547, 4483, 1239, 1510, 954, 8306, 540, 1239, 12535, 547, 2666, 10473, 1282, 4238, 269, 22547, 538, 7836, 593, 7760, 538, 2029, 568, 2693, 547, 4492, 519, 1646, 540, 3838, 2011, 11898, 865, 602, 519, 19025, 666, 3362, 4163, 856, 741, 8655, 4247, 563, 763, 4108, 11608, 2344, 814, 1044, 536, 604, 584, 322, 730, 883, 3760, 543, 31139, 269, 1635, 3760, 267, 519, 4108, 11608, 2344, 814, 1044, 5302, 27935, 883, 2244, 267, 23197, 267, 543, 17189, 269, 5794, 13871, 10126, 568, 4397, 547, 4228, 693, 513, 4028, 10605, 19962, 547, 519, 4473, 538, 3747, 585, 772, 16787, 338, 2066, 1585, 6080, 269, 772, 16787, 338, 723, 1044, 11543, 8560, 282, 607, 513, 1267, 972, 814, 1044, 5230, 5092, 593, 772, 16787, 338, 689, 4357, 8041, 543, 22257, 3906, 269, 2201, 519, 4493, 540, 31139, 267, 519, 4108, 11608, 2344, 814, 1044, 5302, 27935, 883, 16986, 267, 8596, 267, 8254, 267, 8955, 267, 9604, 267, 543, 3381, 5496, 269, 1635, 3498, 267, 519, 4108, 11608, 2344, 814, 1044, 5302, 27935, 883, 23001, 18017, 11608, 267, 2112, 2361, 11608, 267, 4496, 18785, 18951, 6174, 267, 5639, 1852, 18951, 6174, 267, 4584, 543, 1747, 11608, 543, 1866, 269, 2782, 7615, 11608, 10126, 568, 4397, 547, 20441, 519, 4108, 11608, 2344, 676, 519, 1439, 540, 519, 9472, 1974, 19962, 547, 519, 4473, 538, 991, 585, 6370, 2361, 4238, 543, 8473, 13178, 563, 294, 4599, 606, 12600, 7300, 7935, 577, 675, 540, 713, 1867, 912, 1103, 2474, 540, 11585, 267, 519, 4108, 11608, 2344, 568, 5302, 7757, 883, 3345, 3013, 267, 2342, 267, 5607, 7414, 267, 5664, 5101, 1299, 4000, 267, 543, 5824, 3013, 269, 3345, 3013, 4371, 5354, 540, 519, 2344, 2671, 540, 519, 4108, 11608, 2344, 538, 476, 1001, 277, 543, 568, 2693, 547, 11677, 922, 17282, 936, 519, 9472, 1974, 269, 31056, 5092, 593, 4108, 7836, 568, 2693, 547, 5397, 519, 2208, 540, 713, 2344, 538, 519, 2282, 2104, 269, 634, 772, 2529, 269, 4371, 5354, 2344, 2671, 540, 519, 4108, 11608, 2344, 538, 3345, 3013, 1813, 547, 7372, 9541, 593, 1382, 543, 1646, 538, 519, 8878, 5823, 269, 2342, 568, 4397, 547, 581, 519, 1034, 10694, 2344, 585, 4108, 11608, 1813, 547, 4473, 538, 7678, 540, 19025, 585, 1585, 8878, 5301, 269, 18831, 971, 607, 519, 772, 14389, 1421, 5125, 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 ]

[ 585, 8479, 20661, 1040, 4173, 1433, 267, 634, 7731, 4936, 990, 281, 12653, 1457, 267, 31052, 542, 267, 543, 519, 12096, 540, 15875, 6576, 568, 513, 3803, 626, 585, 519, 476, 1001, 276, 962, 3201, 6347, 28742, 538, 27140, 13815, 269, 15516, 269, 18307, 2719, 1178, 19290, 3576, 942, 856, 540, 1200, 11112, 8430, 547, 2626, 513, 1906, 844, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 7211, 21741, 5622, 257, 607, 851, 540, 834, 11227, 1315, 17104, 1299, 21337, 1315, 661, 8527, 3821, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 24442, 6807, 267, 972, 5030, 1079, 12543, 267, 26795, 543, 6723, 269, 1358, 941, 1312, 13730, 827, 2470, 543, 6068, 8384, 1114, 2010, 540, 5017, 9683, 741, 1394, 29288, 1169, 4005, 269, 1717, 267, 789, 1185, 17804, 5380, 593, 875, 519, 3395, 2146, 1058, 1020, 780, 11321, 15925, 729, 606, 2825, 626, 945, 5156, 538, 8497, 519, 4884, 781, 2067, 5898, 269, 2701, 3576, 11348, 538, 1200, 4677, 267, 4904, 609, 5065, 2371, 543, 5810, 267, 19788, 1585, 6177, 2249, 2429, 519, 1032, 269, 4173, 2648, 585, 5017, 22755, 1200, 547, 6443, 1896, 5726, 2516, 14957, 1996, 4028, 1646, 543, 17717, 538, 519, 3148, 780, 24730, 267, 593, 519, 824, 1688, 267, 4718, 1761, 2208, 3255, 585, 24442, 6807, 269, 1261, 4941, 2413, 5656, 267, 21490, 9897, 267, 543, 2799, 5010, 2238, 547, 26016, 1125, 519, 1858, 269, 2755, 646, 15874, 519, 19259, 540, 2470, 267, 1010, 3119, 1445, 2482, 11992, 1107, 538, 3356, 543, 2804, 13884, 780, 3080, 1554, 267, 519, 2749, 14643, 9307, 4566, 547, 1628, 1007, 6703, 267, 1519, 10918, 7740, 543, 11614, 267, 2282, 519, 856, 12921, 16630, 1141, 1804, 3574, 4133, 11542, 269, 901, 3375, 13489, 1042, 909, 6404, 4664, 1851, 7264, 269, 1280, 930, 267, 899, 6723, 267, 713, 5921, 2816, 5137, 267, 1732, 5989, 267, 543, 4824, 2298, 540, 1272, 282, 855, 585, 1866, 267, 971, 607, 26795, 267, 713, 25250, 9568, 585, 519, 10347, 8134, 602, 13455, 9118, 7068, 267, 1519, 741, 11537, 26624, 2828, 780, 291, 17827, 711, 547, 1577, 713, 4755, 1510, 8380, 909, 513, 4339, 267, 26795, 678, 718, 1221, 8284, 2825, 1235, 1927, 267, 8108, 834, 24591, 3776, 28418, 2437, 513, 29065, 3350, 6322, 693, 9870, 4656, 827, 519, 1033, 3234, 757, 540, 31250, 7269, 883, 7320, 9249, 269, 11531, 267, 6723, 2968, 3238, 609, 519, 605, 23923, 618, 1249, 542, 1572, 834, 30395, 5455, 24442, 6807, 3010, 2026, 13253, 15583, 730, 1063, 519, 15852, 5011, 267, 1312, 1249, 687, 6896, 1857, 11401, 267, 4843, 3621, 2090, 267, 543, 21959, 1229, 1489, 689, 9565, 1004, 1369, 519, 2146, 269, 2311, 2053, 267, 12699, 9840, 1671, 4240, 267, 4929, 11508, 10838, 2025, 17052, 543, 3885, 7567, 780, 7628, 835, 1880, 5870, 267, 26795, 1558, 24553, 267, 513, 1762, 8004, 4171, 7279, 3366, 1200, 547, 7390, 5103, 1200, 3237, 1373, 16119, 31737, 538, 519, 12706, 5455, 24442, 6807, 3786, 269, 22628, 26795, 781, 11428, 267, 24553, 4280, 952, 1352, 1223, 948, 4688, 519, 18137, 1932, 269, 29110, 3481, 676, 1200, 15131, 267, 26795, 20888, 1200, 2898, 27329, 569, 883, 519, 16440, 3776, 28418, 2319, 780, 294, 15869, 4121, 1082, 3407, 4245, 1247, 2324, 7258, 26795, 543, 824, 15628, 269, 2701, 4362, 519, 25872, 540, 782, 2713, 7919, 543, 6956, 1946, 7863, 7733, 20974, 1229, 3564, 1175, 5329, 5017, 1472, 269, 2060, 5583, 689, 26795, 267, 24553, 2919, 1898, 1983, 899, 2792, 267, 1382, 267, 2565, 3206, 267, 543, 5718, 267, 7175, 1200, 547, 1796, 6109, 9624, 11685, 780, 4002, 519, 16212, 2427, 267, 6723, 1336, 5128, 11303, 676, 16167, 9141, 17033, 676, 7443, 24500, 2864, 982, 9758, 1416, 585, 519, 1604, 610, 922, 11317, 269, 7464, 1944, 713, 5168, 1500, 1864, 2243, 2436, 2110, 3856, 12374, 5963, 20582, 1279, 18835, 8733, 3441, 269, 4014, 1869, 11215, 540, 3356, 267, 6723, 3459, 556, 4621, 18790, 554, 7360, 3664, 1500, 1510, 6236, 741, 1764, 593, 2470, 543, 2104, 5481, 780, 30631, 1302, 267, 1310, 1454, 4901, 543, 19908, 267, 519, 2749, 14643, 8815, 547, 8190, 851, 540, 519, 28816, 1858, 543, 6451, 10357, 7888, 6272, 883, 519, 6069, 3785, 269, 5637, 5011, 9976, 11802, 267, 23344, 3787, 1562, 11548, 569, 267, 14344, 602, 14207, 26857, 3152, 2640, 982, 29134, 15984, 547, 3665, 5784, 780, 9961, 713, 1184, 267, 1312, 26795, 543, 6723, 7960, 269, 26795, 6591, 2463, 689, 1346, 3544, 1200, 5858, 267, 18445, 602, 4557, 13369, 543, 6612, 1223, 6536, 9322, 1256, 10838, 10779, 2456, 269, 30027, 3585, 267, 6723, 6444, 519, 1871, 540, 6220, 6940, 3800, 883, 4683, 4058, 267, 4180, 30398, 1063, 1480, 2115, 543, 2825, 1072, 780, 4517, 865, 267, 7064, 547, 519, 3646, 540, 2043, 899, 26795, 267, 24553, 267, 543, 5555, 6766, 676, 6723, 267, 519, 10034, 15161, 5249, 29050, 2509, 13326, 3356, 609, 11091, 269, 1306, 513, 1267, 267, 519, 6177, 5095, 4797, 547, 8853, 267, 12572, 540, 519, 10103, 6913, 1063, 18495, 543, 12624, 7186, 538, 4190, 267, 18900, 24442, 6807, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 24685, 1018, 1259, 798, 17717, 543, 20012, 1860, 2199, 6177, 5095, 888, 291, 4078, 23667, 543, 20012, 666, 723, 2942, 5222, 593, 2199, 6177, 5095, 269, 667, 4078, 23667, 18788, 4054, 543, 5932, 1930, 2127, 27507, 540, 7850, 2666, 3382, 267, 1818, 621, 2352, 585, 5017, 547, 1265, 1426, 543, 21224, 4609, 269, 3509, 6177, 2249, 4096, 593, 4104, 539, 2127, 585, 741, 6668, 267, 543, 950, 891, 2127, 616, 10032, 267, 741, 2551, 11081, 269, 8528, 31413, 1436, 666, 849, 2569, 519, 1297, 540, 5017, 269, 12124, 2127, 723, 7864, 4054, 543, 3039, 5624, 267, 799, 1797, 1447, 7226, 585, 5017, 269, 769, 1840, 267, 4683, 2127, 2356, 723, 811, 3425, 543, 10130, 267, 799, 666, 2014, 18063, 543, 5397, 5017, 2476, 689, 741, 21224, 4609, 269, 12124, 1436, 666, 849, 2569, 519, 8244, 540, 519, 2067, 1426, 2959, 602, 5017, 4096, 593, 269, 8528, 14454, 267, 17717, 543, 20012, 666, 723, 1713, 2942, 2360, 593, 2199, 6177, 5095, 14325, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 8080, 547, 938, 3184, 593, 834, 20578, 12229, 4886, 281, 1215, 898, 29452, 24371, 16534, 23433, 12694, 10590, 5620, 596, 2479, 9289, 875, 5904, 543, 2029, 666, 948, 1004, 4194, 2042, 286, 4270, 267, 835, 1259, 789, 798, 713, 568, 998, 1945, 1572, 834, 322, 2396, 3301, 1646, 2437, 1141, 1004, 1711, 2027, 2780, 3292, 1175, 585, 1978, 4213, 256, 2913, 781, 2263, 1018, 713, 1797, 543, 1946, 621, 781, 1271, 780, 5331, 596, 1378, 513, 1507, 16741, 6300, 269, 1411, 1616, 547, 1265, 1007, 2081, 547, 6133, 811, 533, 11170, 553, 543, 1832, 3950, 540, 782, 519, 9753, 3362, 269, 589, 1895, 540, 10509, 12665, 1223, 2097, 1927, 547, 1628, 513, 2189, 1982, 1175, 585, 707, 16741, 6300, 1107, 1577, 781, 1289, 621, 834, 303, 14040, 3682, 2668, 901, 1131, 581, 2688, 3301, 2919, 4481, 547, 2232, 707, 1870, 781, 2115, 780, 3383, 267, 1018, 4010, 4422, 883, 1818, 623, 14040, 3682, 630, 528, 1022, 824, 2688, 3301, 264, 513, 4641, 286, 3689, 267, 891, 10509, 627, 714, 8240, 786, 1205, 547, 917, 707, 16741, 6300, 3330, 543, 856, 269, 1358, 3513, 1451, 827, 519, 1114, 2010, 540, 533, 11170, 553, 596, 2709, 267, 875, 1082, 547, 25940, 972, 616, 267, 543, 1256, 519, 1034, 2442, 2395, 543, 2053, 585, 16741, 6455, 269, 1635, 1620, 707, 1870, 865, 1134, 267, 789, 666, 1374, 513, 1062, 602, 3032, 619, 10502, 547, 1346, 2115, 780, 9202, 2501, 519, 4058, 5123, 267, 1141, 519, 2319, 5932, 513, 29685, 24223, 3388, 789, 1616, 623, 14040, 3682, 547, 3035, 269, 5994, 11516, 4221, 856, 513, 4786, 609, 9897, 3056, 547, 1585, 18353, 899, 1931, 2921, 267, 12146, 9477, 267, 543, 6455, 8989, 282, 1142, 4155, 4564, 513, 4183, 1369, 519, 3301, 269, 3767, 4952, 952, 1169, 2582, 8265, 7944, 1185, 513, 30246, 2786, 547, 1776, 10278, 1765, 10472, 2186, 540, 4398, 5849, 5347, 22892, 950, 2679, 519, 4890, 3498, 780, 5629, 3025, 23216, 593, 519, 1544, 267, 621, 781, 942, 585, 519, 5137, 1184, 256, 4787, 2683, 9367, 946, 741, 8193, 9059, 547, 3142, 623, 14040, 3682, 547, 1272, 269, 2991, 930, 2182, 960, 267, 21350, 10042, 256, 2659, 1360, 1378, 2688, 3301, 6763, 7381, 543, 4712, 547, 10994, 707, 1870, 2591, 2212, 6823, 269, 2060, 922, 2706, 335, 10183, 267, 5883, 9753, 3587, 4674, 1652, 267, 11891, 13978, 6896, 267, 543, 2208, 3255, 10836, 20501, 982, 2479, 1354, 780, 3086, 267, 1934, 781, 1141, 1919, 1205, 2731, 3579, 269, 11426, 3301, 1646, 3549, 1419, 1246, 3964, 2553, 543, 2994, 547, 2327, 1967, 269, 1280, 3236, 267, 789, 1522, 4019, 834, 698, 850, 16097, 2580, 799, 1450, 873, 547, 3533, 4188, 543, 5386, 2389, 2317, 3785, 607, 2877, 269, 6056, 540, 621, 899, 11256, 12897, 910, 3006, 596, 991, 547, 6492, 1449, 2059, 519, 1259, 543, 17408, 752, 5820, 1354, 3478, 621, 1175, 1318, 2439, 2467, 616, 1896, 4128, 4213, 3442, 2688, 3301, 1646, 3079, 540, 9140, 840, 13402, 3681, 269, 2368, 1883, 2640, 1331, 1384, 272, 269, 2878, 8110, 2739, 3514, 4995, 4595, 2688, 3301, 568, 1500, 4481, 585, 513, 1870, 267, 621, 9607, 2189, 2115, 1732, 982, 13598, 8925, 563, 273, 269, 2878, 21798, 15807, 4995, 2755, 3355, 9276, 949, 3100, 1164, 267, 1279, 3856, 7024, 2356, 17854, 519, 5092, 1813, 547, 2799, 7607, 543, 29765, 4238, 563, 274, 269, 2878, 18183, 7808, 640, 4995, 5901, 6213, 1344, 5150, 3297, 6821, 3710, 1152, 585, 707, 3919, 563, 275, 269, 2878, 16987, 1466, 12523, 4995, 28150, 1569, 547, 4810, 4648, 945, 1174, 2872, 1655, 2853, 543, 5969, 12967, 4066, 563, 276, 269, 2878, 24965, 1027, 3790, 4995, 5484, 24674, 689, 22485, 3854, 543, 10512, 18820, 7064, 547, 3838, 2200, 543, 6791, 3177, 676, 5007, 6887, 780, 1103, 3932, 267, 2688, 3301, 1646, 2337, 4213, 7753, 9465, 1210, 16887, 18705, 2645, 3358, 547, 741, 1367, 2115, 269, 3807, 899, 2348, 513, 10531, 20131, 2306, 1565, 4443, 543, 11791, 267, 2688, 3301, 6087, 16904, 547, 8853, 538, 2221, 781, 3728, 19550, 3059, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2690, 519, 936, 476, 1015, 1296, 267, 649, 723, 1044, 3246, 2688, 3301, 1646, 543, 2533, 602, 13352, 9985, 519, 2189, 1870, 2591, 269, 1284, 948, 4213, 676, 8888, 267, 4058, 543, 2870, 2688, 3301, 3156, 543, 649, 798, 621, 5488, 543, 811, 1942, 3927, 269, 1284, 3082, 8810, 2409, 585, 3811, 3301, 5752, 543, 1788, 12032, 267, 543, 5838, 3435, 602, 616, 2386, 547, 9765, 707, 6788, 269, 3776, 9367, 616, 4966, 538, 4028, 2688, 1646, 540, 27617, 12229, 3435, 267, 7856, 602, 616, 2966, 547, 2743, 707, 3906, 1808, 4170, 543, 1870, 2115, 563, 288, 16775, 9941, 568, 606, 21369, 3301, 1646, 2754, 3246, 519, 10018, 540, 1942, 9806, 267, 667, 539, 5344, 2930, 5234, 543, 5989, 267, 2201, 942, 6765, 3301, 12032, 267, 13722, 519, 1942, 585, 17849, 267, 16715, 519, 2866, 543, 5989, 3790, 267, 21041, 543, 811, 22637, 540, 960, 267, 7457, 547, 15232, 16065, 267, 27975, 569, 4389, 519, 3854, 543, 10512, 3790, 676, 4688, 811, 982, 476, 2412, 9077, 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 ]

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

[ 3017, 1063, 9319, 513, 5929, 12161, 543, 1373, 12758, 609, 513, 14524, 531, 1374, 269, 589, 3730, 9133, 568, 547, 2247, 4786, 543, 2328, 1524, 519, 9028, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11293, 12455, 5669, 5071, 257, 607, 851, 540, 834, 291, 2464, 22218, 1315, 30166, 8132, 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, 594, 2760, 2219, 594, 1131, 581, 986, 6137, 827, 30897, 22199, 267, 855, 1934, 594, 993, 269, 2913, 803, 2491, 875, 594, 8694, 909, 1603, 513, 22850, 827, 891, 4241, 31759, 543, 1946, 621, 1797, 865, 1454, 547, 803, 780, 296, 729, 2141, 513, 3787, 540, 513, 562, 518, 323, 3395, 909, 630, 663, 1869, 993, 1070, 3226, 950, 621, 3357, 547, 2257, 269, 3733, 5172, 1641, 538, 1153, 814, 2141, 1044, 7350, 267, 543, 1250, 2828, 1031, 547, 24983, 602, 594, 1223, 2012, 1169, 2582, 851, 540, 513, 1591, 269, 594, 6068, 1565, 827, 782, 519, 1114, 31759, 1107, 26503, 267, 10775, 22199, 267, 1439, 32194, 1427, 545, 4918, 1107, 543, 875, 1142, 835, 5129, 922, 2189, 1909, 538, 5329, 938, 4703, 8647, 5265, 780, 3080, 1554, 267, 1247, 19855, 23749, 267, 594, 16686, 2390, 513, 1016, 1042, 9016, 6131, 7357, 547, 20868, 543, 530, 871, 344, 3621, 5013, 269, 898, 729, 972, 602, 594, 4718, 513, 7662, 585, 2576, 547, 2328, 513, 22850, 827, 30897, 22199, 269, 2311, 1101, 267, 594, 669, 3089, 1194, 547, 8885, 1107, 945, 1131, 1616, 547, 5873, 513, 22850, 827, 30897, 22199, 286, 1809, 1287, 1945, 4945, 539, 269, 3371, 729, 606, 4316, 547, 9192, 1079, 540, 1250, 6574, 18653, 1107, 2575, 543, 2257, 1107, 538, 513, 1259, 602, 1522, 2965, 7038, 1004, 269, 1656, 16310, 267, 875, 1082, 2053, 1185, 594, 24714, 602, 811, 8964, 5059, 593, 1271, 6211, 2035, 3079, 540, 1175, 11509, 3347, 543, 1570, 22590, 286, 901, 729, 1250, 4960, 547, 1689, 602, 2239, 780, 3383, 267, 11439, 609, 1250, 1702, 540, 30897, 22199, 543, 513, 8781, 7287, 547, 1711, 1945, 5963, 2027, 267, 594, 2893, 1524, 543, 3323, 13167, 1250, 20100, 269, 7638, 572, 1310, 14235, 2095, 539, 24672, 689, 1250, 4050, 267, 10503, 519, 2629, 3252, 540, 30897, 22199, 1369, 519, 1591, 543, 741, 2956, 538, 4509, 2949, 1072, 269, 1306, 594, 5249, 267, 594, 1336, 8885, 4742, 811, 543, 811, 16539, 538, 519, 1788, 1107, 713, 7012, 1405, 1175, 930, 25064, 24983, 15042, 282, 713, 729, 1148, 780, 3719, 1287, 267, 9568, 13351, 269, 3807, 607, 594, 729, 8380, 519, 18138, 18953, 593, 1250, 3172, 636, 1566, 639, 267, 1250, 2780, 1835, 14414, 267, 530, 31441, 856, 3108, 540, 2182, 960, 269, 7754, 17673, 267, 594, 1085, 10696, 998, 19307, 6119, 543, 2025, 31585, 267, 26525, 547, 32006, 720, 1022, 24790, 540, 1250, 1631, 2000, 739, 5137, 269, 1325, 553, 267, 4986, 7283, 269, 2353, 602, 4674, 267, 8854, 538, 606, 8216, 780, 7775, 865, 594, 2219, 269, 769, 1346, 8090, 5612, 1739, 519, 16154, 267, 1945, 7415, 5949, 281, 2093, 3459, 26311, 1394, 883, 1250, 2212, 269, 20514, 759, 584, 325, 3166, 267, 30053, 556, 655, 1120, 539, 267, 543, 1354, 1279, 267, 594, 7691, 602, 594, 1223, 30712, 519, 3003, 3364, 689, 3965, 269, 14568, 2943, 267, 621, 8604, 1256, 6793, 982, 1354, 1107, 15568, 676, 519, 27241, 540, 2530, 543, 10917, 1229, 609, 16012, 8990, 780, 4517, 3976, 267, 1250, 30897, 25593, 22850, 729, 4535, 1586, 267, 1732, 982, 2479, 269, 1879, 594, 6368, 11540, 621, 593, 519, 1016, 1042, 9016, 267, 519, 3210, 729, 11566, 569, 2318, 269, 4658, 26916, 711, 1152, 519, 5876, 543, 15931, 1145, 540, 519, 18405, 855, 849, 519, 5817, 5048, 827, 14120, 1419, 15763, 3344, 540, 2257, 269, 1280, 2899, 267, 621, 5433, 899, 1250, 12242, 14560, 540, 2575, 543, 7350, 1185, 23091, 16900, 267, 2870, 1945, 2484, 3152, 982, 519, 2040, 540, 922, 2694, 780, 1103, 519, 1439, 267, 1018, 3323, 607, 513, 2241, 23749, 7662, 5828, 883, 513, 3532, 12576, 540, 6043, 543, 1582, 1532, 601, 3971, 269, 3414, 14488, 267, 594, 4362, 602, 3006, 9561, 3388, 666, 17362, 519, 1259, 585, 1945, 1256, 1732, 1107, 952, 1152, 649, 546, 732, 547, 2119, 1586, 269, 1924, 1985, 942, 1272, 25001, 596, 513, 7455, 4252, 267, 3314, 1250, 9661, 540, 519, 30897, 25593, 22850, 543, 9784, 519, 4161, 2898, 27329, 569, 269, 1411, 2760, 917, 1018, 16782, 949, 10836, 689, 519, 20739, 1188, 720, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 10574, 3898, 912, 2791, 1590, 723, 1496, 299, 344, 7879, 316, 1239, 1826, 538, 519, 1739, 25166, 1679, 5401, 563, 305, 1168, 1679, 5401, 912, 4692, 596, 2328, 513, 22850, 827, 30897, 22199, 888, 19723, 572, 476, 272, 912, 8266, 523, 909, 586, 262, 718, 267, 1577, 803, 2995, 596, 1412, 321, 719, 30897, 22199, 454, 5445, 2811, 519, 2973, 5346, 12284, 267, 519, 10408, 10851, 454, 5445, 2736, 1524, 3653, 543, 10408, 11935, 454, 8794, 11476, 547, 2736, 621, 1524, 609, 8897, 454, 290, 1817, 639, 912, 299, 903, 22199, 267, 789, 2811, 519, 31759, 649, 991, 454, 17954, 1136, 1524, 3653, 609, 6909, 3432, 454, 30789, 2281, 2973, 267, 2635, 543, 2178, 454, 299, 903, 22199, 267, 789, 2811, 1141, 621, 781, 693, 267, 2097, 593, 454, 19723, 572, 476, 273, 912, 299, 903, 22199, 849, 948, 609, 12536, 454, 17954, 1136, 1524, 1426, 609, 8856, 454, 5445, 2811, 3238, 538, 1313, 15047, 344, 1932, 454, 27662, 532, 909, 8697, 2281, 267, 621, 781, 1018, 789, 798, 454, 290, 1817, 639, 912, 299, 903, 22199, 267, 789, 2811, 519, 31759, 649, 991, 454, 17954, 1136, 1524, 3653, 609, 6909, 3432, 454, 30789, 2281, 2973, 267, 2635, 543, 2178, 454, 299, 903, 22199, 267, 789, 2811, 1141, 621, 781, 693, 267, 2097, 593, 454, 19723, 572, 476, 274, 912, 15919, 1919, 666, 979, 4636, 267, 602, 781, 1100, 9114, 454, 299, 903, 23865, 4859, 3676, 267, 789, 1118, 721, 3956, 454, 2691, 30897, 22199, 666, 1405, 2736, 1524, 3653, 454, 2005, 666, 1291, 547, 4576, 267, 543, 602, 781, 513, 1979, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 476, 275, 269, 273, 11150, 585, 28304, 519, 667, 12495, 1944, 540, 10871, 4750, 1143, 692, 7072, 692, 2026, 649, 5941, 538, 519, 3105, 3296, 267, 519, 17498, 1944, 540, 2199, 19761, 814, 1185, 1713, 4539, 585, 2199, 2797, 6278, 269, 2060, 7864, 2200, 13991, 547, 8720, 2199, 3377, 267, 2950, 616, 1447, 5483, 827, 1271, 2152, 543, 3664, 1373, 1500, 693, 519, 2199, 1377, 269, 901, 3668, 540, 1344, 666, 1291, 547, 8519, 7589, 538, 2199, 6214, 267, 607, 1134, 607, 606, 2799, 2631, 540, 771, 28947, 689, 835, 779, 2146, 269, 1717, 267, 972, 616, 2994, 602, 666, 948, 11574, 891, 2942, 2360, 543, 2327, 602, 2199, 19761, 5170, 547, 1404, 513, 4105, 1909, 538, 938, 9111, 269, 769, 713, 3296, 267, 649, 786, 2263, 930, 540, 891, 2994, 538, 1469, 780, 26322, 8081, 543, 8750, 532, 17738, 692, 3080, 1761, 3070, 547, 519, 17498, 1944, 540, 2199, 19761, 568, 547, 2333, 2146, 1489, 543, 7616, 585, 2199, 3377, 3906, 269, 901, 666, 1491, 1082, 3029, 267, 1519, 1367, 23190, 267, 5748, 14828, 267, 543, 2229, 24307, 269, 1635, 3246, 3606, 2883, 2200, 267, 891, 2959, 666, 948, 2199, 3377, 3906, 2226, 741, 5234, 532, 2157, 543, 3136, 547, 3132, 1164, 7779, 19761, 780, 2690, 1383, 267, 538, 3210, 547, 19394, 10229, 8907, 267, 1082, 14786, 723, 5828, 547, 5467, 23190, 607, 513, 1259, 547, 3251, 513, 15615, 269, 634, 26851, 267, 513, 5177, 2861, 11356, 267, 814, 1044, 3226, 3811, 538, 713, 2543, 267, 9870, 6634, 540, 9489, 689, 3988, 1472, 519, 1158, 998, 922, 15376, 1982, 269, 6684, 267, 1160, 14276, 320, 267, 513, 18758, 3329, 894, 19761, 3919, 267, 12346, 8185, 593, 5748, 14828, 543, 1367, 23190, 547, 2508, 922, 960, 780, 1103, 1840, 547, 1463, 2883, 1489, 267, 2950, 666, 849, 1683, 824, 2010, 540, 6351, 547, 2199, 3377, 3906, 269, 1280, 1383, 267, 789, 666, 2709, 5604, 2230, 610, 3937, 267, 2671, 1239, 543, 2200, 267, 610, 7649, 609, 20859, 593, 8989, 3785, 269, 1452, 21769, 711, 1152, 948, 1489, 2199, 19761, 855, 849, 6536, 513, 6793, 2631, 540, 2146, 543, 3838, 3483, 780, 5194, 9621, 2203, 585, 5885, 2199, 19761, 568, 519, 5137, 540, 1857, 31076, 10473, 6131, 9003, 547, 2199, 3377, 269, 2755, 1082, 1857, 5925, 543, 8613, 10473, 4867, 3132, 930, 2199, 5752, 267, 1906, 1445, 14311, 593, 713, 1858, 269, 589, 6131, 2199, 3377, 6728, 1223, 6445, 606, 1271, 7934, 538, 3795, 543, 4196, 607, 513, 3407, 4199, 585, 7264, 269, 2290, 1383, 540, 713, 1935, 568, 654, 293, 312, 296, 267, 513, 1857, 31076, 6728, 538, 4095, 24550, 267, 18518, 267, 799, 9250, 513, 3232, 2199, 3377, 1397, 538, 476, 1001, 280, 780, 7661, 267, 6608, 666, 849, 1404, 513, 1909, 538, 5885, 2199, 19761, 269, 2368, 2477, 267, 971, 607, 13785, 543, 16157, 267, 723, 8045, 4507, 602, 2047, 2508, 2199, 3377, 3906, 269, 2755, 713, 1826, 540, 6304, 949, 6318, 4145, 827, 2229, 3310, 936, 519, 2046, 267, 621, 666, 581, 11295, 538, 2081, 602, 2149, 21107, 7115, 269, 1280, 1383, 267, 7482, 1223, 581, 7856, 998, 4830, 8041, 610, 13950, 676, 3791, 18407, 3906, 269, 17968, 267, 6608, 1223, 10996, 643, 1125, 4357, 5092, 538, 2199, 19761, 998, 3454, 17099, 610, 824, 6127, 780, 6124, 6355, 17738, 543, 16743, 692, 4407, 2146, 1489, 543, 7616, 3631, 666, 948, 2844, 4540, 2199, 3377, 3906, 267, 5647, 543, 1007, 1870, 3631, 616, 849, 2877, 547, 2232, 519, 3597, 3123, 540, 519, 2872, 781, 7771, 269, 3371, 267, 649, 1865, 1896, 4485, 602, 3180, 9153, 780, 5575, 267, 2199, 3377, 3906, 666, 4603, 609, 1114, 8907, 12535, 3564, 2757, 10229, 543, 20478, 3631, 269, 1280, 3236, 267, 789, 1522, 2015, 5356, 23032, 1543, 267, 5065, 10229, 267, 610, 6216, 539, 1543, 2533, 547, 4213, 3168, 547, 3914, 2199, 9458, 269, 1358, 1223, 849, 2263, 4244, 14104, 3681, 267, 971, 607, 7715, 4206, 27448, 11044, 610, 1764, 10115, 780, 13553, 267, 2199, 3377, 3906, 666, 15407, 2029, 547, 2087, 4398, 267, 2569, 3790, 267, 543, 4228, 741, 3914, 269, 1280, 1383, 267, 789, 1522, 9772, 12957, 2645, 547, 20928, 6296, 4247, 267, 971, 607, 1239, 7127, 610, 1514, 2923, 2359, 269, 1358, 1223, 849, 1902, 538, 5841, 4987, 630, 9590, 264, 4066, 547, 5659, 1804, 14449, 267, 2697, 3466, 267, 543, 5352, 1650, 2093, 269, 3958, 267, 2199, 3377, 3906, 666, 946, 3059, 5867, 547, 15814, 741, 1543, 811, 4922, 267, 8757, 1007, 9458, 945, 949, 711, 8532, 2757, 1820, 610, 13739, 2923, 780, 23612, 267, 2199, 3377, 3906, 666, 12840, 609, 1142, 824, 547, 7535, 2200, 267, 2671, 1655, 2853, 267, 543, 1020, 5499, 3435, 547, 1455, 2591, 269, 6201, 540, 971, 5698, 1331, 12352, 1063, 12721, 14786, 267, 4745, 3329, 894, 8989, 3785, 267, 543, 6237, 931, 677, 807, 5059, 593, 2866, 543, 3318, 1646 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1101, 824, 982, 519, 2012, 269, 634, 1297, 540, 22571, 538, 606, 11046, 568, 5219, 547, 607, 519, 10570, 1297, 540, 602, 3693, 563, 1103, 1320, 1682, 517, 3370, 513, 6609, 540, 1010, 4528, 540, 519, 11046, 267, 4122, 1634, 607, 519, 834, 680, 636, 30077, 532, 2203, 563, 763, 2178, 3196, 8952, 519, 22571, 543, 25268, 1927, 538, 519, 11046, 269, 4935, 267, 1142, 1114, 1826, 540, 11046, 666, 581, 4857, 538, 519, 5119, 607, 519, 9133, 568, 6410, 2066, 519, 2627, 269, 1284, 666, 849, 2272, 585, 930, 3601, 540, 26775, 269, 11906, 6547, 7361, 4125, 8444, 610, 2516, 540, 8444, 543, 519, 4205, 1063, 741, 9211, 563, 301, 6334, 519, 1657, 568, 25127, 543, 21533, 786, 2154, 513, 1697, 2079, 547, 581, 2944, 2663, 269, 4595, 9211, 1065, 601, 1142, 824, 30402, 1725, 13443, 11046, 1775, 302, 272, 543, 11046, 1775, 302, 273, 616, 1631, 13745, 1927, 676, 519, 3196, 13042, 21598, 269, 570, 6260, 7154, 314, 12575, 9948, 17266, 12249, 11800, 476, 271, 563, 763, 18085, 850, 591, 568, 3335, 13339, 610, 13339, 6491, 20183, 609, 513, 9133, 8953, 540, 22441, 593, 519, 1931, 540, 6289, 18852, 269, 1323, 13672, 9325, 568, 1500, 909, 540, 1079, 22571, 543, 1079, 25268, 267, 782, 4371, 1927, 676, 519, 1482, 2178, 6046, 3196, 602, 25907, 519, 13540, 267, 2687, 547, 519, 16962, 6997, 563, 3383, 547, 4308, 609, 713, 789, 1500, 513, 6216, 1007, 1259, 547, 2070, 2339, 543, 1648, 267, 543, 789, 1572, 621, 7061, 3069, 269, 5221, 519, 6482, 540, 513, 11979, 5365, 568, 12155, 547, 6846, 543, 20847, 267, 1970, 20765, 18085, 850, 951, 1775, 10611, 9801, 5112, 568, 513, 2875, 540, 774, 1682, 517, 563, 3080, 1554, 646, 729, 2324, 593, 519, 1773, 636, 623, 3291, 532, 2203, 543, 6430, 547, 9496, 513, 2318, 5279, 11237, 693, 803, 538, 7108, 674, 11798, 269, 8342, 5500, 3364, 267, 646, 1219, 21124, 1055, 1250, 13540, 799, 646, 1705, 711, 917, 594, 1185, 269, 700, 13806, 585, 803, 267, 602, 621, 1219, 21124, 1055, 1250, 4099, 267, 2705, 267, 621, 729, 563, 1892, 519, 1648, 540, 606, 6475, 568, 5462, 676, 922, 1533, 3040, 1403, 972, 568, 1152, 835, 6475, 538, 519, 11046, 267, 519, 1648, 5673, 593, 562, 4805, 3040, 1403, 972, 616, 811, 9211, 267, 789, 2170, 630, 10517, 601, 1142, 824, 1070, 543, 865, 1114, 2829, 723, 1114, 19367, 3848, 476, 273, 476, 279, 26425, 543, 4427, 9917, 961, 2037, 25489, 2480, 11490, 6041, 540, 563, 27793, 630, 290, 264, 568, 538, 6828, 10001, 320, 267, 2495, 621, 814, 2185, 9211, 538, 922, 9018, 7387, 269, 4935, 547, 1831, 513, 834, 327, 7026, 11046, 2580, 12539, 666, 2901, 2744, 610, 6336, 2185, 9211, 269, 1635, 4687, 519, 9211, 609, 824, 8444, 267, 12539, 666, 1831, 513, 6126, 11046, 563, 531, 1181, 2299, 11423, 543, 7962, 3539, 922, 9018, 7387, 267, 607, 609, 519, 2185, 3289, 5766, 839, 3254, 538, 7612, 476, 280, 23130, 8952, 519, 11046, 1927, 286, 5808, 7824, 11046, 543, 922, 4229, 269, 1433, 20646, 2880, 9050, 286, 634, 11046, 568, 16922, 540, 1614, 2101, 5536, 1765, 2889, 27971, 267, 25268, 543, 9211, 563, 2467, 616, 2185, 4229, 630, 16978, 11424, 267, 16200, 267, 31808, 267, 543, 32322, 264, 602, 616, 3743, 585, 519, 2623, 540, 519, 5536, 543, 3976, 1832, 519, 11046, 1927, 11065, 523, 568, 1869, 8237, 593, 713, 835, 267, 4647, 7824, 269, 2311, 558, 8092, 281, 589, 2871, 3660, 12875, 3414, 519, 5899, 1052, 630, 4517, 6764, 1601, 4601, 9540, 264, 2622, 540, 3487, 1834, 8212, 13290, 547, 4001, 721, 827, 1134, 267, 9325, 6323, 563, 11854, 32496, 267, 13744, 19643, 10290, 3217, 721, 593, 513, 4663, 540, 519, 1114, 5536, 538, 519, 9208, 7844, 540, 6323, 267, 6941, 519, 1614, 4909, 4229, 602, 2170, 609, 873, 267, 543, 1287, 21040, 938, 20030, 676, 1315, 276, 7868, 1079, 4229, 602, 616, 1034, 3743, 585, 19545, 519, 11046, 1927, 616, 519, 2178, 3196, 543, 519, 19545, 3196, 563, 763, 13590, 3196, 15320, 689, 519, 824, 1614, 4229, 538, 602, 538, 666, 1312, 4482, 543, 1065, 601, 269, 4014, 596, 949, 581, 1034, 5432, 609, 519, 3196, 540, 8904, 267, 8904, 568, 513, 5266, 23696, 3196, 1369, 519, 11046, 269, 0, 763, 13241, 17583, 2488, 3318, 1646, 547, 7668, 7855, 543, 6107, 4600, 676, 4687, 13241, 1543, 1702, 267, 3384, 13241, 2853, 267, 543, 2679, 6015, 547, 1683, 811, 6209, 13241, 2833, 585, 1453, 563, 18814, 547, 13044, 268, 866, 267, 938, 1699, 12333, 4886, 3255, 723, 17146, 547, 5691, 3255, 563, 10000, 5765, 5680, 21577, 1331, 912, 12812, 593, 1357, 14373, 2140, 547, 11578, 563, 16032, 13756, 585, 30482, 4804, 281, 4864, 476, 736, 267, 476, 1708, 271, 476, 275, 281, 876, 533, 6230, 269, 12409, 5238, 543, 6107, 1606, 6326, 3906, 616, 538, 519, 1184, 540, 8159, 519, 1655, 2081, 547, 556, 13449, 3506, 585, 1053, 543, 1683, 3872, 3255, 585, 6107, 538, 2922, 543, 2635, 2081, 538, 3210, 547, 519, 5046, 268, 866, 1072, 6433, 540, 476, 1708, 271, 269, 2290, 2856, 3478, 513, 2603, 540, 3007, 543, 7156, 568, 519, 13345, 540, 9205, 1565, 5624, 269, 15012, 721, 547, 1451, 811, 827, 519, 2640, 540, 543, 1655, 2853, 585, 9205, 1565, 543, 2253, 4058, 875, 596, 666, 8415, 9205, 1565, 5624, 547, 9797, 1764, 519, 6107, 543, 3885, 596, 4196, 563, 4462, 680, 28289, 32017, 281, 5181, 476, 1704, 267, 476, 1708, 271, 476, 275, 281, 876, 533, 6230, 269, 634, 18518, 21864, 4643, 585, 8950, 3163, 4065, 538, 18518, 2829, 968, 5475, 4873, 476, 1789, 267, 476, 1708, 272, 267, 1169, 1153, 538, 18518, 786, 1331, 2780, 2257, 538, 519, 1153, 779, 6437, 585, 1053, 538, 9656, 998, 3446, 476, 1321, 1848, 3502, 782, 2780, 2257, 2069, 2115, 547, 581, 6026, 1210, 5907, 3457, 269, 15012, 721, 547, 1451, 811, 827, 875, 547, 1205, 513, 7914, 11034, 593, 7598, 2780, 2257, 3872, 3255, 998, 519, 946, 540, 3946, 6823, 796, 680, 28289, 8193, 2238, 563, 23727, 543, 17402, 281, 5239, 476, 1428, 267, 476, 1708, 271, 476, 275, 281, 876, 533, 6230, 269, 4635, 3332, 4296, 538, 14966, 609, 13241, 2833, 11942, 1719, 538, 13241, 10459, 267, 7512, 7279, 543, 5876, 267, 543, 2337, 1053, 1020, 2318, 13241, 9163, 269, 15012, 721, 547, 1451, 811, 827, 519, 2640, 540, 8220, 13241, 543, 1453, 779, 3332, 543, 875, 547, 1711, 2500, 13241, 4245, 1759, 593, 1453, 779, 3332, 563, 23727, 543, 623, 13993, 4045, 585, 11773, 281, 5437, 476, 866, 267, 476, 1708, 271, 476, 275, 281, 876, 533, 6230, 269, 15012, 721, 547, 1451, 811, 827, 13241, 543, 5741, 15369, 4804, 267, 875, 13241, 267, 5741, 15369, 4804, 267, 543, 519, 4702, 1374, 1184, 616, 13988, 543, 666, 581, 1031, 1927, 267, 543, 875, 547, 2936, 5741, 15369, 4804, 3255, 998, 3946, 6823, 13241, 2833, 585, 6107, 563, 32153, 4886, 3718, 10914, 454, 2171, 917, 2257, 267, 2029, 267, 4702, 267, 543, 2979, 723, 606, 2479, 2987, 920, 2084, 1909, 538, 938, 1158, 267, 543, 13241, 2833, 1683, 606, 4316, 547, 4497, 1053, 2038, 538, 741, 4081, 15322, 538, 1931, 547, 2333, 1719, 538, 543, 1628, 2318, 8456, 4724, 13241, 10459, 269, 634, 13241, 17583, 5360, 9323, 543, 9360, 1699, 13241, 6437, 543, 3292, 269, 1284, 2503, 547, 2709, 538, 16512, 543, 5691, 19113, 3255, 538, 519, 12096, 563, 11520, 22544, 20644, 902, 585, 476, 1708, 271, 3417, 912, 23727, 585, 4653, 543, 8751, 6563, 454, 23727, 543, 7186, 1107, 634, 17828, 26969, 454, 23727, 543, 623, 13993, 4045, 585, 11773, 454, 8777, 1645, 4841, 630, 312, 1926, 264, 609, 519, 7177, 5071, 6713, 454, 23727, 16797, 654, 1231, 454, 23727, 12333, 4886, 3718, 10914, 454, 289, 18115, 5050, 7734, 281, 4635, 5753, 779, 9085, 547, 15474, 569, 8177, 15272, 454, 1692, 547, 21118, 513, 7731, 13241, 7926, 454, 29753, 513, 13241, 3427, 14740, 454, 23727, 676, 519, 10606, 454, 763, 2866, 814, 5140, 1543, 543, 1134, 19550, 269, 4911, 11253, 3358, 519, 6881, 547, 938, 2115, 543, 3177, 938, 3450, 5159, 609, 3730, 2326, 602, 5401, 2417, 3206, 593, 875, 547, 11753, 519, 8551, 538, 3450, 13241, 2035, 269, 1107, 1773, 16211, 623, 698, 323, 6501, 267, 18947, 10615, 540, 15789, 267, 8551, 585, 4804, 454, 303, 833, 24104, 1222, 814, 24574, 1229, 609, 634, 13241, 17583, 585, 4832, 5752, 267, 2361, 15143, 267, 1310, 17469, 15731, 267, 13241, 6539, 3892, 267, 543, 3318, 1646, 269, 1358, 3136, 547, 581, 15826, 538, 5870, 519, 2115, 540, 938, 1053, 267, 3610, 267, 543, 938, 2146, 676, 5356, 3638, 267, 2502, 3255, 538, 782, 602, 789, 798, 269, 2353, 5234, 568, 18164, 538, 13241, 3450, 543, 1565, 543, 4422, 1657, 543, 3564, 547, 1118, 13241, 2069, 12581, 269, 1107, 8210, 514, 715, 11336, 267, 10588, 13241, 3213, 778, 693, 9049, 291, 623, 833, 24104, 1222, 454, 763, 2319, 693, 634, 13241, 17583, 5612, 7722, 782, 5234, 2818, 538, 6209, 5188, 543, 2238, 602, 3927, 2813, 513, 2631, 540, 9562, 538, 13241, 2069, 585, 782, 1053, 269, 3414, 513, 3126, 540, 10853, 1806, 267, 938, 5234, 5433, 6462, 543, 9415, 547, 2263, 1310, 519, 3318, 1646, 1995, 269, 1107, 18238, 5576, 558, 1067, 267, 25867, 267, 853, 269, 3933, 3821, 7826, 3427 ]

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

[ 293, 11113, 543, 519, 3193, 269, 9978, 6176, 29034, 12935, 630, 6224, 476, 274, 27846, 264, 568, 835, 540, 519, 1034, 10731, 5214, 9362, 538, 519, 5790, 630, 1410, 3865, 539, 1152, 676, 15655, 1040, 14271, 11618, 281, 4856, 16476, 4788, 269, 17449, 2068, 281, 4779, 6122, 330, 21485, 340, 2000, 518, 540, 267, 17640, 547, 267, 610, 7768, 540, 6675, 563, 5226, 714, 707, 1053, 593, 1772, 8863, 274, 15121, 21069, 610, 6348, 335, 6897, 286, 634, 9868, 267, 540, 1576, 267, 1373, 519, 7250, 781, 269, 1299, 26289, 274, 282, 261, 3953, 282, 31580, 545, 9511, 568, 519, 1353, 540, 22762, 1845, 602, 2097, 689, 7223, 267, 538, 1880, 267, 689, 14034, 269, 634, 16387, 1377, 6227, 2798, 267, 3515, 267, 14742, 267, 7285, 267, 10580, 267, 12730, 267, 9076, 559, 831, 1023, 267, 519, 25355, 14497, 267, 598, 545, 6810, 267, 15997, 543, 811, 269, 589, 2681, 1652, 267, 6757, 267, 1166, 30100, 5277, 267, 8863, 476, 274, 15121, 267, 1031, 607, 606, 30624, 872, 2763, 267, 513, 2489, 19857, 267, 513, 4492, 267, 543, 513, 3954, 4405, 656, 585, 2802, 2643, 4568, 269, 476, 274, 267, 31003, 15055, 269, 476, 271, 326, 540, 8863, 274, 15121, 14116, 264, 529, 10920, 12723, 676, 713, 5114, 693, 3586, 563, 301, 2088, 594, 8678, 17449, 16890, 547, 1265, 606, 4277, 2816, 1107, 543, 594, 18423, 585, 519, 6612, 547, 1628, 1945, 6209, 256, 634, 3844, 2915, 2742, 540, 7636, 7350, 6257, 519, 1184, 538, 799, 5027, 568, 1098, 8282, 883, 10717, 267, 1287, 12261, 883, 3940, 269, 3619, 547, 707, 10531, 32505, 3774, 547, 1265, 513, 5578, 602, 5654, 4277, 267, 610, 2824, 513, 5578, 1544, 602, 20383, 547, 707, 1837, 267, 1533, 4441, 267, 610, 13387, 1449, 269, 476, 1428, 544, 11169, 8863, 274, 15121, 563, 892, 2561, 18770, 823, 968, 10481, 5852, 667, 1662, 3884, 261, 4375, 282, 339, 707, 6093, 11733, 2861, 3014, 267, 621, 2965, 3340, 5578, 593, 1283, 540, 1434, 12557, 269, 1547, 476, 4200, 20430, 593, 4119, 585, 25515, 543, 15692, 267, 543, 585, 4586, 19370, 476, 6812, 275, 281, 24951, 1290, 1115, 5455, 19171, 609, 8331, 6611, 8154, 4841, 5635, 2947, 635, 1115, 543, 3313, 2450, 9832, 543, 21159, 269, 589, 3008, 5556, 745, 775, 269, 29034, 12935, 1923, 8863, 274, 15121, 610, 8863, 275, 302, 1923, 595, 2839, 476, 6434, 278, 910, 2497, 267, 3114, 4408, 267, 2168, 543, 3114, 3601, 267, 8760, 267, 24977, 267, 3332, 267, 6211, 2238, 267, 3106, 269, 18628, 814, 1279, 1044, 835, 540, 519, 1883, 7740, 538, 782, 891, 3344, 540, 9511, 269, 19129, 1036, 709, 701, 476, 1015, 1299, 22001, 282, 638, 6346, 1696, 735, 677, 324, 11552, 16403, 328, 1054, 261, 22446, 282, 4302, 1696, 476, 273, 18013, 1209, 338, 632, 563, 273, 264, 12433, 519, 5021, 2179, 540, 1216, 602, 666, 581, 4646, 269, 769, 5409, 26382, 9511, 267, 998, 513, 1448, 711, 593, 269, 594, 3533, 1491, 596, 998, 875, 547, 2721, 519, 11066, 12856, 540, 8863, 274, 15121, 630, 300, 996, 12935, 610, 18861, 4568, 1040, 1299, 26289, 274, 282, 261, 3953, 282, 300, 12817, 12269, 666, 581, 678, 1057, 609, 5182, 5250, 282, 4525, 1141, 519, 2199, 5860, 568, 1164, 666, 12900, 896, 741, 1378, 8904, 547, 1106, 6801, 269, 589, 11140, 568, 606, 30788, 9243, 1895, 540, 1079, 610, 811, 8444, 4371, 1927, 676, 3114, 7554, 269, 634, 1034, 1455, 2010, 540, 9511, 616, 7077, 9511, 630, 1372, 2718, 609, 3615, 899, 519, 1448, 267, 1899, 267, 5858, 267, 6906, 267, 543, 20372, 1070, 4396, 9511, 630, 1372, 2718, 609, 3615, 899, 519, 1899, 267, 12106, 267, 543, 4874, 28353, 1070, 543, 20085, 9511, 630, 1372, 2718, 609, 3615, 899, 519, 20085, 6906, 543, 269, 589, 8701, 19857, 267, 8715, 12935, 9715, 519, 2012, 3574, 4568, 1317, 621, 729, 2899, 3812, 30109, 676, 519, 16160, 1019, 269, 22417, 10101, 8863, 274, 15121, 547, 18253, 610, 18253, 8863, 274, 15121, 547, 10101, 563, 2005, 568, 3989, 547, 581, 476, 272, 270, 1321, 540, 519, 2527, 540, 835, 11046, 540, 3327, 268, 1321, 543, 538, 4587, 1568, 568, 849, 28484, 607, 834, 600, 340, 2668, 17449, 2068, 1022, 2068, 538, 799, 519, 31630, 666, 581, 14360, 547, 513, 2582, 3114, 6219, 269, 634, 7636, 2527, 630, 332, 264, 568, 519, 2527, 540, 513, 2016, 11140, 281, 621, 568, 6027, 538, 546, 5306, 976, 630, 291, 320, 610, 579, 1916, 4517, 519, 546, 22929, 1486, 847, 528, 568, 1100, 9868, 269, 15439, 7150, 267, 713, 28070, 2022, 3634, 568, 281, 998, 513, 1448, 711, 593, 513, 2016, 1899, 972, 568, 4010, 835, 1899, 6252, 547, 519, 2016, 1899, 269, 1403, 519, 6871, 6556, 540, 269, 476, 1822, 575, 3732, 540, 8715, 12935, 267, 8863, 274, 15121, 267, 729, 12318, 539, 538, 519, 4527, 540, 4430, 5135, 538, 513, 10514, 1608, 528, 9014, 5627, 476, 6110, 271, 575, 540, 1216, 269, 634, 2539, 519, 533, 298, 320, 267, 519, 6793, 519, 3679, 563, 300, 12817, 16754, 281, 8863, 275, 302, 281, 17449, 13379, 630, 326, 8276, 565, 264, 476, 3953, 269, 570, 261, 23056, 282, 333, 590, 17554, 352, 333, 1912, 17554, 358, 332, 281, 29034, 12935, 267, 595, 12782, 495, 333, 595, 261, 28192, 282, 978, 715, 724, 328, 12782, 485, 335, 2372, 344, 595, 261, 18597, 282, 577, 281, 476, 14321, 298, 326, 270, 3220, 2473, 340, 17554, 354, 339, 2473, 12782, 358, 281, 476, 17554, 351, 681, 17554, 511, 335, 270, 17111, 476, 12782, 357, 978, 667, 12782, 354, 978, 910, 700, 261, 23470, 282, 667, 2426, 631, 261, 28192, 282, 328, 1912, 12782, 499, 4437, 17554, 379, 333, 667, 261, 27149, 282, 978, 2558, 784, 1912, 261, 26237, 282, 978, 774, 261, 26801, 282, 715, 724, 328, 12782, 485, 332, 267, 17487, 494, 17554, 371, 322, 4437, 12782, 485, 339, 269, 8863, 274, 4596, 15121, 8863, 274, 15121, 8863, 274, 4596, 302, 268, 8863, 274, 306, 268, 8863, 274, 302, 269, 898, 568, 1373, 2808, 607, 513, 1761, 7250, 2707, 538, 4492, 1591, 2029, 1813, 547, 922, 1164, 670, 14727, 5223, 267, 1970, 4412, 3748, 585, 865, 582, 5108, 267, 5266, 1970, 6963, 532, 2837, 543, 922, 269, 1284, 948, 12478, 8853, 538, 606, 15345, 14269, 19305, 1158, 676, 5935, 543, 4657, 1004, 779, 2623, 693, 623, 643, 4973, 16474, 757, 2059, 519, 27619, 17423, 17714, 269, 476, 3393, 326, 2910, 14116, 264, 616, 4847, 547, 2746, 269, 29034, 12935, 568, 811, 15755, 982, 1216, 1317, 922, 31669, 3490, 9852, 996, 6448, 264, 568, 21260, 982, 1216, 261, 4375, 282, 338, 31669, 3490, 630, 5139, 6918, 728, 1916, 19352, 902, 543, 5961, 616, 811, 982, 6071, 610, 23788, 538, 3621, 11407, 269, 13507, 1227, 11783, 22526, 853, 584, 332, 17449, 15328, 27027, 19467, 5647, 543, 2773, 547, 1683, 20697, 267, 6484, 543, 20344, 16657, 563, 300, 12817, 4915, 568, 513, 3376, 2361, 267, 1141, 2168, 267, 3114, 267, 6211, 267, 6915, 514, 26197, 543, 2564, 2553, 616, 1031, 547, 4766, 7636, 3889, 543, 6127, 267, 2697, 4909, 7636, 543, 4719, 6959, 540, 2068, 267, 543, 547, 1020, 7636, 7459, 547, 2953, 873, 269, 476, 7918, 260, 538, 519, 2063, 476, 2190, 3108, 269, 1284, 946, 4359, 2257, 5820, 602, 616, 2635, 267, 7067, 543, 2922, 267, 14637, 2864, 982, 22215, 2713, 2960, 269, 808, 1372, 522, 581, 345, 8663, 341, 537, 267, 12659, 2129, 565, 1157, 344, 533, 261, 18597, 282, 1013, 537, 322, 261, 26801, 282, 737, 777, 16433, 340, 267, 683, 727, 7999, 384, 505, 544, 261, 26801, 282, 338, 527, 601, 333, 537, 521, 642, 617, 537, 269, 16387, 18185, 269, 1290, 593, 519, 476, 1240, 628, 267, 519, 2376, 2630, 3091, 6169, 540, 1010, 1554, 1310, 3409, 563, 294, 709, 701, 632, 8641, 1143, 324, 1696, 3525, 261, 22001, 282, 331, 5314, 20703, 261, 22001, 282, 1529, 18311, 269, 6423, 811, 7044, 585, 932, 274, 2129, 269, 17449, 3252, 3622, 5330, 547, 2238, 602, 666, 581, 5340, 676, 1367, 5444, 2472, 630, 1775, 563, 10527, 1655, 3364, 827, 23497, 17449, 779, 19777, 839, 832, 814, 1044, 519, 8897, 540, 946, 269, 7490, 5512, 621, 547, 3136, 269, 11822, 7636, 6878, 2874, 540, 6675, 538, 799, 519, 8444, 616, 8678, 676, 2178, 32128, 7554, 269, 769, 1840, 547, 7421, 1883, 2035, 538, 519, 2361, 267, 15806, 723, 655, 23903, 2013, 2090, 689, 7636, 7350, 547, 2232, 811, 2489, 1170, 1132, 538, 519, 6138, 540, 2257, 267, 971, 607, 5786, 267, 7778, 267, 2169, 1905, 15684, 267, 543, 17634, 269, 16952, 2042, 3773, 602, 4125, 11810, 547, 3313, 519, 2557, 6361, 268, 4219, 540, 519, 16880, 3845, 607, 596, 1689, 707, 4463, 269, 3955, 4167, 532, 27116, 1218, 14497, 476, 275, 269, 1547, 476, 2190, 270, 278, 16387, 6435, 563, 22706, 1377, 281, 476, 279, 268, 1015, 1923, 11762, 281, 16387, 282, 1612, 718, 1314, 282, 12980, 9046, 476, 1556, 1215, 1164, 568, 606, 28050, 7702, 286, 32163, 261, 22001, 282, 1147, 682, 3135, 632, 10370, 517, 24728, 6441, 320, 8935, 320, 267, 561, 685, 9743, 26623, 632, 932, 574, 773, 1696, 632, 12713, 577, 574, 773, 20703, 261, 22001, 282, 1529, 320, 2231, 1696, 10016, 1090, 565, 261, 22001, 282, 1529, 320, 2231, 630, 2975, 289, 5960, 264, 546, 261, 22001, 282, 12323, 632, 476, 275, 4691, 21304, 630, 331, 685, 26536, 527, 261, 22001, 282, 19863, 324, 24527, 10370, 517, 272, 267, 682, 31368, 11965, 267, 561, 685, 292, 1723, 548, 10016, 261, 22001, 282, 4471, 675, 632, 932, 574, 773, 8713, 292, 6441, 27267, 1696, 561, 685, 2562, 6347, 6441, 27267, 1040, 5590, 909, 1079, 15821, 4834, 267, 835, 11589, 519, 2527, 540, 3327, 8166, 3812, 538, 2474, 540, 1142, 556, 26047, 543, 519, 824, 11589, 519, 2527, 540, 3732, 14616, 538, 2474, 540, 1142, 556, 26047, 269, 17449, 4214, 281, 476, 272, 563, 10481, 5852, 667, 1662, 568, 513, 3126, 540, 2947, 3381, 3756, 2919, 676, 13785, 2861, 17354, 7917, 5440, 8403, 267, 543, 3370, 676, 1010, 2754, 267, 7605, 12749, 10632, 269, 15656, 744, 24202, 327, 2795, 1145, 344, 20653, 553, 1723, 269, 32114, 602, 972, 568, 1100, 1587, 693, 519, 4098, 540, 519, 5114, 543, 602, 693, 11466, 2910, 815, 476, 271, 563, 272, 14674, 3615, 538, 519, 1604, 1210, 4408, 540, 5546, 267, 543, 4766, 519, 3448, 7158, 540, 891, 3615, 1210, 2474, 971, 607, 1657, 267, 2630, 267, 22290, 267, 538, 4395, 540, 267, 3297, 267, 543, 1985, 547, 269, 1299, 26289, 274, 282, 261, 3953, 282, 288, 7848, 540, 476, 272, 269, 5843, 18614, 2709, 3173, 606, 4781, 547, 15476, 593, 513, 1507, 6712, 540, 1239, 538, 513, 5618, 1867, 1510, 519, 991, 547, 4228, 883, 513, 2407, 1382, 2376, 563, 300, 12817, 11020, 568, 606, 1930, 1569, 267, 9263, 24595, 4760, 602, 15109, 22251, 593, 782, 3344, 540, 2090, 593, 519, 8401, 1062, 693, 519, 7636, 267, 10408, 267, 543, 1949, 1377, 3246, 513, 8468, 585, 3744, 547, 5968, 741, 4681, 269, 1879, 596, 1404, 16387, 667, 1662, 700, 924, 269, 1548, 616, 519, 2596, 3741, 540, 9511, 286, 6423, 2407, 1592, 593, 1353, 563, 13528, 10358, 666, 581, 1031, 547, 1265, 519, 15943, 543, 1858, 540, 1079, 8820, 5546, 267, 971, 607, 29977, 543, 10580, 269, 476, 272, 2776, 1613, 338, 476, 274, 269, 634, 1858, 540, 6128, 11341, 547, 519, 1353, 540, 2230, 543, 519, 3347, 1063, 2798, 269, 21408, 559, 831, 1023, 630, 305, 327, 4861, 639, 267, 23155, 6945, 267, 3092, 264, 476, 273, 269, 17449, 8819, 25348, 1382, 6238, 538, 519, 10051, 1141, 22730, 1353, 875, 1426, 16919, 543, 31136, 896, 1114, 5210, 267, 12503, 543, 824, 269, 1280, 936, 476, 1839, 1296, 267, 13106, 334, 17449, 15733, 814, 24574, 1229, 14311, 609, 1072, 1416, 7426, 547, 5838, 9422, 3435, 540, 519, 5207, 12117, 269, 1284, 723, 9571, 602, 596, 616, 616, 593, 513, 1507, 3926, 971, 607, 513, 5985, 6049, 563, 261, 26289, 274, 282, 261, 3953, 282, 263, 24357, 269, 8672, 267, 7412, 267, 1773, 2033, 543, 20348, 269, 6201, 1331, 519, 524, 15772, 1836, 27433, 6675, 540, 1216, 267, 20342, 267, 7250, 267, 7250, 17296, 267, 15655, 543, 5135, 269, 5788, 634, 1957, 267, 3370, 538, 7186, 11061, 5359, 519, 10282, 540, 513, 1007, 1826, 540, 7636, 24516, 267, 1572, 606, 11995, 24516, 630, 528, 476, 278, 268, 275, 24516, 1040, 18438, 281, 1482, 7623, 4433, 264, 1058, 711, 581, 1459, 538, 1312, 2472, 543, 556 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19667, 13396, 568, 519, 15280, 5168, 540, 606, 30313, 720, 762, 2078, 269, 25141, 1373, 519, 2229, 543, 16028, 9117, 607, 12836, 585, 519, 1689, 267, 519, 4641, 6013, 602, 952, 596, 5749, 1406, 2111, 547, 8597, 519, 2115, 540, 707, 11218, 1287, 972, 1655, 3298, 16028, 4031, 585, 596, 547, 6023, 256, 769, 555, 328, 2376, 267, 649, 786, 2119, 547, 3382, 782, 519, 16028, 4031, 538, 3127, 563, 7883, 532, 676, 519, 12716, 5817, 3661, 540, 28174, 553, 19101, 7365, 607, 519, 10700, 6662, 540, 513, 1762, 476, 1839, 1032, 2025, 20277, 3085, 1406, 1796, 856, 519, 1259, 621, 1705, 538, 519, 31249, 2247, 1606, 564, 602, 1004, 1378, 267, 2864, 585, 713, 29858, 4657, 1158, 267, 952, 596, 1616, 547, 19533, 1287, 596, 1058, 1118, 3054, 3514, 585, 5542, 267, 1317, 3127, 2488, 513, 1305, 540, 16028, 4031, 952, 519, 23947, 3085, 1406, 1745, 733, 2105, 538, 2921, 519, 7365, 2417, 563, 24375, 940, 609, 9699, 25141, 2920, 267, 4198, 276, 547, 519, 19837, 1828, 540, 7332, 25141, 2920, 267, 4350, 280, 543, 519, 29807, 328, 25141, 543, 6555, 13396, 2920, 267, 4350, 277, 267, 1927, 609, 4095, 6555, 13396, 2920, 267, 5908, 280, 267, 3127, 6585, 513, 2189, 1909, 689, 8380, 1055, 519, 7008, 689, 519, 17173, 2078, 1100, 2339, 1018, 4984, 789, 840, 778, 3976, 16180, 922, 4909, 3741, 269, 6555, 13396, 568, 519, 7803, 6073, 540, 9668, 950, 596, 5749, 1406, 2111, 547, 28231, 519, 5722, 642, 3298, 596, 723, 3893, 3054, 16219, 563, 310, 599, 811, 1114, 1287, 3045, 592, 618, 799, 568, 513, 3656, 9668, 1775, 4318, 269, 513, 21688, 3415, 1062, 998, 799, 513, 9310, 7008, 666, 849, 10123, 6101, 1125, 513, 632, 1249, 334, 9668, 15029, 2063, 16155, 9310, 610, 609, 632, 1249, 334, 9668, 1775, 4318, 269, 513, 1062, 13296, 519, 838, 11817, 1217, 958, 4104, 718, 1071, 4725, 1746, 267, 6555, 13396, 6763, 856, 676, 10747, 519, 4891, 1863, 689, 1022, 17185, 789, 723, 1044, 5892, 2322, 593, 3842, 519, 2486, 538, 519, 2012, 540, 25141, 563, 19667, 13396, 1373, 513, 3656, 27072, 540, 7365, 24947, 782, 3309, 10764, 3127, 723, 269, 2353, 9699, 267, 14418, 267, 27566, 543, 27454, 786, 2119, 547, 3758, 16028, 998, 9699, 25141, 2920, 267, 476, 4198, 276, 269, 12356, 3842, 19837, 1828, 540, 7332, 3057, 17699, 2920, 267, 476, 4350, 280, 269, 14655, 998, 29807, 328, 25141, 543, 6555, 13396, 2920, 267, 4350, 277, 269, 4168, 538, 13076, 609, 4095, 6555, 13396, 2920, 267, 476, 5908, 280, 269, 1975, 11817, 10362, 547, 835, 6361, 8584, 29292, 2516, 543, 5641, 525, 666, 3343, 16028, 555, 745, 7981, 25141, 2920, 267, 476, 4198, 277, 563, 299, 20235, 7126, 1310, 25141, 454, 268, 9406, 547, 2661, 9170, 1352, 13821, 1927, 609, 1200, 9393, 267, 607, 606, 4244, 581, 621, 1200, 15366, 610, 1319, 3234, 11102, 6469, 267, 1100, 4808, 2630, 9699, 25141, 2920, 267, 476, 4198, 276, 585, 7114, 1200, 1858, 547, 2661, 1310, 7365, 563, 268, 9406, 540, 3959, 1312, 676, 1200, 4651, 543, 9393, 2016, 1352, 568, 1101, 7385, 267, 952, 519, 9393, 862, 1080, 1022, 2462, 18081, 563, 268, 9406, 547, 705, 677, 513, 4816, 18284, 476, 736, 4374, 609, 1100, 10279, 540, 2921, 10479, 689, 1200, 9393, 607, 2687, 547, 519, 6481, 12910, 1588, 540, 26579, 267, 3192, 272, 563, 268, 9406, 547, 588, 872, 546, 7315, 630, 14179, 2863, 3320, 2016, 13344, 547, 519, 7385, 1354, 610, 1310, 1200, 7365, 1510, 1022, 3196, 547, 798, 865, 264, 607, 829, 3296, 476, 1691, 540, 9699, 11773, 542, 2920, 267, 4198, 277, 543, 3296, 476, 2767, 540, 9699, 25141, 2920, 267, 476, 4198, 276, 269, 2701, 849, 666, 538, 1840, 2594, 513, 20494, 9330, 2630, 8791, 476, 866, 288, 540, 519, 10466, 540, 6468, 538, 11685, 547, 23582, 20222, 2920, 952, 1200, 1697, 568, 17792, 563, 268, 7797, 22337, 787, 3842, 2376, 476, 19054, 289, 543, 476, 5392, 279, 288, 540, 4095, 6755, 531, 7040, 563, 268, 18830, 519, 7301, 3409, 540, 1010, 7385, 585, 22337, 787, 267, 646, 666, 29153, 896, 8791, 476, 25375, 267, 9197, 15425, 563, 268, 1403, 1010, 7385, 5932, 6429, 543, 1287, 7301, 569, 6811, 621, 607, 25711, 267, 9393, 666, 3758, 513, 3441, 6051, 2013, 896, 8791, 476, 280, 267, 8713, 290, 1996, 1010, 7385, 563, 268, 9406, 547, 27836, 23947, 3959, 1310, 2390, 2669, 563, 268, 9406, 547, 4309, 23947, 1514, 3354, 267, 27404, 610, 9659, 2640, 563, 294, 1037, 338, 585, 16028, 454, 10817, 2830, 610, 674, 5435, 3069, 538, 3747, 585, 29653, 16028, 454, 268, 8791, 476, 1724, 540, 519, 9699, 25141, 2920, 476, 4198, 276, 2369, 2478, 4128, 585, 16028, 609, 606, 1840, 540, 1776, 476, 275, 4128, 2139, 547, 519, 7385, 4805, 896, 519, 9699, 25141, 2920, 476, 4198, 276, 630, 7611, 476, 1724, 263, 273, 4297, 4586, 268, 1520, 592, 6670, 281, 3117, 839, 783, 4638, 26697, 1063, 513, 9310, 1268, 609, 1776, 4008, 23947, 540, 1776, 1268, 563, 268, 769, 3127, 267, 513, 812, 602, 862, 1080, 13277, 6670, 666, 581, 9901, 609, 513, 5186, 758, 1055, 775, 269, 634, 7385, 607, 513, 3540, 16185, 666, 1867, 16028, 269, 1403, 513, 7385, 862, 1080, 13277, 6670, 267, 1352, 3112, 581, 9901, 609, 513, 7803, 1055, 775, 267, 1256, 1498, 519, 9393, 666, 581, 10478, 585, 31989, 540, 519, 2937, 19907, 5256, 585, 13277, 6670, 543, 1867, 585, 16028, 563, 268, 19164, 542, 281, 27315, 2685, 10714, 532, 270, 548, 3058, 11721, 832, 1136, 270, 629, 9646, 532, 540, 476, 272, 7649, 609, 9039, 4052, 2014, 998, 519, 824, 563, 268, 19164, 532, 23947, 1590, 723, 4570, 2601, 585, 8237, 543, 519, 7287, 547, 2322, 606, 1439, 547, 1071, 4725, 2787, 538, 1931, 547, 5418, 611, 585, 20237, 563, 268, 19164, 539, 23947, 11099, 538, 3668, 540, 9844, 543, 16789, 2014, 585, 6028, 519, 1319, 3234, 11102, 1753, 950, 646, 24172, 5418, 6758, 563, 268, 700, 788, 549, 1910, 1107, 8791, 476, 272, 263, 643, 264, 2115, 682, 2889, 1910, 547, 581, 2205, 12040, 610, 1651, 9092, 15029, 1373, 513, 6989, 585, 16028, 563, 268, 10469, 699, 531, 8376, 1107, 2901, 23947, 666, 3343, 513, 21936, 585, 16028, 952, 519, 824, 23947, 568, 7092, 689, 1022, 2205, 12040, 9006, 699, 531, 8376, 630, 288, 10680, 267, 19690, 267, 6583, 545, 561, 823, 264, 538, 922, 3868, 762, 1106, 563, 268, 6184, 534, 640, 1107, 8791, 476, 1724, 31702, 264, 2488, 16028, 952, 519, 4431, 550, 814, 1044, 7680, 5812, 2790, 24187, 799, 568, 703, 26985, 676, 519, 23947, 563, 268, 23586, 1107, 8791, 476, 274, 263, 272, 7565, 4512, 264, 2488, 16028, 952, 519, 23947, 2781, 1162, 547, 581, 513, 9699, 270, 10736, 547, 513, 1875, 9699, 5132, 1510, 519, 824, 23947, 779, 9844, 563, 268, 3465, 18870, 540, 2669, 1107, 4095, 15845, 2920, 267, 476, 6942, 273, 1095, 6979, 1004, 4666, 952, 22821, 1406, 1044, 4862, 585, 513, 5934, 12732, 540, 476, 278, 1296, 267, 8754, 519, 23947, 666, 1491, 513, 16028, 1310, 519, 23616, 4327, 942, 563, 268, 8262, 18081, 1107, 7385, 666, 3343, 16028, 952, 519, 9393, 723, 811, 602, 835, 7385, 563, 268, 681, 1901, 267, 590, 617, 3912, 543, 1655, 658, 640, 1107, 7385, 666, 3758, 513, 21936, 585, 16028, 1317, 540, 22149, 630, 7611, 476, 23841, 267, 7379, 290, 264, 1775, 4318, 269, 1071, 7978, 609, 513, 14799, 1510, 1200, 10479, 269, 4033, 476, 273, 616, 796, 11499, 1055, 1878, 1141, 590, 617, 3912, 1797, 5067, 1351, 1537, 2941, 1637, 609, 1482, 3023, 543, 1655, 658, 640, 1797, 2348, 3023, 1996, 519, 1931, 540, 2470, 609, 1022, 812, 267, 4807, 610, 3662, 607, 2016, 538, 3296, 476, 4391, 278, 267, 7379, 290, 563, 268, 8791, 476, 273, 540, 519, 19837, 1828, 540, 7332, 3057, 17699, 2920, 476, 4350, 280, 3568, 12406, 593, 799, 519, 7385, 4805, 666, 647, 324, 563, 268, 570, 8403, 336, 3887, 1532, 573, 520, 1107, 2142, 523, 5063, 10294, 20704, 705, 2332, 1470, 3842, 519, 1744, 599, 4673, 645, 8457, 642, 4882, 5742, 540, 3127, 3823, 519, 7141, 5657, 26698, 563, 268, 570, 8403, 336, 3887, 268, 1695, 338, 534, 1107, 1703, 568, 513, 476, 3445, 1554, 476, 1342, 520, 263, 629, 560, 29561, 264, 942, 17929, 952, 519, 7008, 3085, 1406, 1071, 4725, 10028, 267, 519, 16028, 568, 9048, 22106, 762, 563, 268, 570, 8403, 336, 3887, 3620, 553, 534, 1107, 476, 274, 835, 3923, 20517, 616, 547, 581, 3812, 17929, 972, 12582, 1406, 581, 1022, 17788, 531, 2078, 1063, 519, 23947, 563, 268, 7316, 629, 8083, 540, 519, 9393, 723, 1631, 1100, 3476, 1044, 9833, 585, 513, 3259, 540, 476, 275, 1296, 563, 268, 26036, 7171, 814, 8959, 547, 2709, 1200, 5826, 585, 513, 5934, 12732, 540, 1079, 1296, 610, 814, 7142, 1200, 547, 3251, 538, 606, 11375, 636, 2033, 7365, 563, 268, 26036, 7171, 814, 1044, 30992, 547, 26646, 585, 513, 12732, 540, 5722, 1296, 610, 20733, 563, 268, 26036, 7171, 568, 791, 582, 550, 610, 3884, 1406, 2111, 547, 30593, 519, 29281, 9021, 585, 5934, 540, 476, 274, 1296, 454, 268, 2667, 5435, 1200, 610, 952, 3085, 1406, 2543, 1200, 538, 13076, 609, 519, 20845, 563, 268, 1403, 596, 2461, 513, 1825, 591, 540, 2441, 267, 1287, 666, 3758, 16028, 896, 8791, 476, 1015, 540, 519, 4095, 6555, 13396, 2920, 476, 5908, 280, 269, 634, 26587, 540, 16028, 31885, 1058, 581, 689, 513, 3540, 5480, 543, 711, 689, 3235, 27036, 20292, 5513, 26915, 630, 3553, 909, 676, 3909, 8128, 547, 4308, 609, 13882, 1851, 804, 518, 923, 1916, 268, 26036, 7171, 779, 666, 3409, 16028, 952, 7385, 723, 8149, 13277, 6670, 454, 268, 654, 1057, 666, 3758, 513, 21936, 585, 16028, 1317, 540, 13277, 6670, 267, 1655, 658, 640, 267, 2462, 18081, 267, 1689, 540, 4984, 689, 8567, 676, 9393, 610, 28877, 563, 268, 634, 29807, 328, 25141, 543, 6555, 13396, 2920, 476, 4350, 277, 3568, 476, 1015, 13337, 12406, 540, 16028, 10858, 547, 6431, 2103, 15185, 5275, 16028, 563, 268, 7201, 519, 7981, 25141, 2920, 799, 568, 10858, 547, 782, 16310, 711, 2348, 519, 4567, 540, 12504, 538, 3127, 267, 8791, 476, 2767, 263, 272, 264, 3568, 476, 1015, 13337, 12406, 540, 16028, 593, 799, 2901, 23947, 666, 3343, 16028, 269, 8791, 476, 2767, 263, 272, 288, 264, 3568, 1079, 13337, 12406, 593, 799, 519, 7385, 4805, 666, 3343, 9668, 540, 7365, 563, 268, 8791, 476, 1724, 289, 540, 519, 9699, 25141, 2920, 476, 4198, 276, 538, 14966, 609, 3296, 476, 2764, 540, 7981, 25141, 2920, 267, 476, 4198, 275, 3413, 3581, 519, 23947, 547, 1459, 741, 5163, 585, 9668, 1310, 2713, 1510, 519, 11090, 540, 9393, 543, 7385, 585, 513, 5934, 12732, 540, 476, 272, 1032, 630, 4089, 476, 1015, 288, 540, 6555, 13396, 2920, 267, 476, 5908, 280, 267, 3340, 519, 7008, 547, 581, 9674, 585, 693, 2547, 1079, 1296, 1354, 7311, 585, 16028, 4700, 4553, 676, 1776, 6881, 540, 5163, 609, 513, 7934, 689, 476, 277, 547, 476, 1240, 3275, 24787, 776, 689, 519, 1101, 4553, 676, 519, 2063, 6217, 799, 5849, 1863, 786, 676, 10916, 519, 6898, 1354, 26587, 513, 31885, 540, 16028, 269, 630, 29670, 14384, 1797, 711, 2713, 607, 9393, 543, 7385, 267, 4087, 3085, 1406, 2339, 269, 12467, 268, 8191, 1436, 540, 1379, 540, 30374, 1107, 1879, 835, 540, 519, 6105, 3884, 1406, 2111, 547, 7390, 519, 18659, 540, 16028, 1317, 540, 1373, 856, 540, 2197, 610, 930, 796, 28300, 762, 4062, 540, 960, 267, 1287, 646, 24172, 6119, 513, 476, 1911, 8297, 701, 525, 16826, 1957, 3976, 4758, 741, 1379, 540, 9117, 538, 13076, 547, 824, 1310, 3478, 621, 10805, 3842, 7373, 32057, 676, 3246, 10821, 15997, 267, 865, 972, 3884, 1406, 1022, 8488, 538, 16028, 676, 8994, 3117, 550, 3079, 540, 835, 540, 519, 6105, 1373, 856, 540, 4884, 563, 268, 11426, 776, 6555, 13396, 1107, 6555, 13396, 1510, 5473, 5480, 568, 10363, 855, 1869, 11342, 538, 930, 2694, 540, 3127, 563, 268, 1133, 559, 831, 958, 1107, 2311, 519, 12257, 540, 519, 9393, 899, 10205, 532, 519, 7385, 1510, 1022, 4570, 2601, 610, 1317, 540, 22634, 563, 268, 6555, 13396, 676, 1546, 539, 1107, 609, 6304, 540, 519, 2757, 7754, 577, 599, 1846, 540, 22634, 5513, 684, 1023, 267, 6555, 13396, 568, 10645, 563, 268, 16505, 6658, 16140, 1107, 898, 3217, 7365, 607, 513, 533, 1190, 2078, 1759, 593, 2648, 543, 2463, 585, 1142, 824, 543, 11099, 538, 711, 15198, 513, 4666 ]

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

[ 6803, 18441, 538, 5935, 741, 1378, 18497, 5238, 267, 3872, 1949, 267, 543, 2686, 7215, 563, 273, 269, 5295, 19457, 281, 31158, 1194, 2471, 12623, 20470, 3347, 1063, 8789, 543, 29884, 2516, 269, 898, 11394, 23799, 9084, 540, 2200, 267, 3375, 6194, 6392, 267, 543, 2797, 3310, 547, 6439, 1518, 8978, 17536, 1182, 543, 3895, 6086, 633, 7862, 563, 274, 269, 23779, 281, 4406, 573, 919, 543, 3413, 8787, 519, 4502, 1465, 543, 15683, 540, 3309, 2686, 9163, 269, 3414, 4013, 8622, 8540, 267, 6041, 267, 543, 11812, 267, 12790, 2950, 1995, 15398, 2631, 540, 10362, 543, 22644, 563, 275, 269, 28249, 1275, 281, 3117, 11107, 20718, 1727, 11306, 5185, 676, 2043, 945, 4866, 547, 2789, 27797, 2516, 1759, 593, 2188, 899, 4008, 267, 4638, 10066, 267, 1362, 267, 2085, 267, 2702, 267, 543, 4984, 269, 18601, 954, 24286, 1949, 540, 28735, 3587, 14063, 585, 8236, 9758, 13784, 543, 14619, 780, 7656, 269, 7600, 2294, 543, 2552, 7337, 625, 28259, 532, 5564, 12734, 1143, 543, 2667, 574, 7976, 692, 4407, 1312, 26336, 1459, 8903, 7440, 585, 10128, 7292, 270, 30710, 18441, 883, 6626, 2486, 267, 9444, 1935, 3788, 1863, 689, 16472, 543, 15784, 269, 11534, 7859, 8044, 602, 1142, 3069, 19299, 7915, 7687, 799, 17225, 6209, 5188, 1472, 10296, 1514, 4145, 780, 288, 269, 7799, 14591, 540, 2667, 574, 7976, 454, 272, 269, 13809, 540, 8836, 11595, 281, 1280, 1424, 12102, 2516, 547, 1167, 731, 741, 2757, 2081, 540, 1272, 666, 1267, 538, 2530, 540, 3407, 1702, 267, 7326, 267, 543, 26274, 19017, 936, 5553, 269, 6270, 2144, 5501, 949, 1266, 2658, 4606, 540, 32238, 267, 771, 528, 1304, 566, 267, 543, 32659, 2509, 519, 8789, 2528, 563, 273, 269, 13067, 4094, 1436, 281, 26875, 1944, 7663, 8864, 936, 3017, 588, 604, 956, 5876, 267, 5647, 267, 543, 7214, 7279, 269, 5081, 7724, 1981, 4742, 1395, 18070, 9988, 27507, 540, 2565, 8086, 267, 1582, 7721, 8727, 267, 543, 7071, 585, 4244, 16752, 563, 274, 269, 23305, 31875, 281, 22695, 1681, 10770, 9465, 29270, 12790, 2950, 10522, 602, 1967, 9003, 5673, 593, 1367, 11036, 269, 1717, 267, 1382, 9846, 9727, 875, 31737, 10168, 267, 3023, 1143, 267, 2111, 1143, 267, 543, 824, 3029, 540, 7130, 15641, 324, 16057, 10688, 543, 14227, 13120, 563, 275, 269, 13507, 545, 32641, 281, 1520, 11447, 547, 2681, 4565, 785, 16431, 10419, 340, 919, 24353, 14882, 1996, 1875, 22554, 5095, 269, 2598, 7666, 2213, 896, 9583, 21030, 6681, 20116, 267, 11029, 25641, 2853, 3136, 547, 24183, 3646, 2509, 9758, 9698, 543, 5126, 780, 289, 269, 10374, 28172, 540, 5564, 12734, 1143, 454, 272, 269, 21540, 12198, 281, 28246, 1445, 593, 1895, 6302, 1522, 12927, 1202, 983, 2790, 885, 267, 12615, 908, 15523, 2059, 7292, 267, 6803, 267, 543, 3909, 3515, 269, 18877, 2611, 9678, 267, 17923, 11475, 543, 5134, 6412, 3079, 540, 5807, 3444, 14426, 13341, 563, 273, 269, 12708, 1143, 281, 26805, 2818, 540, 12102, 2516, 547, 5187, 2065, 1286, 545, 2137, 25848, 999, 4835, 30846, 543, 13857, 2833, 269, 674, 12089, 11008, 3074, 10714, 5714, 9163, 8032, 676, 6422, 4205, 1063, 1367, 5079, 543, 7104, 7506, 563, 274, 269, 2155, 617, 2305, 281, 3690, 14127, 2686, 6698, 883, 2344, 762, 21113, 8920, 2373, 8076, 10096, 543, 6971, 3638, 12583, 883, 21603, 10525, 540, 16678, 1143, 269, 20497, 14226, 1821, 531, 1132, 19644, 5389, 267, 17021, 873, 6071, 4715, 8163, 585, 2527, 4616, 563, 275, 269, 11572, 22043, 1145, 281, 853, 2774, 15984, 547, 20833, 2953, 4633, 9479, 16401, 525, 1930, 7521, 267, 12042, 619, 16268, 9880, 267, 543, 24115, 2471, 18367, 7391, 1472, 6213, 3584, 269, 4270, 10784, 1549, 539, 8942, 547, 2057, 25213, 6038, 16563, 9739, 5275, 3020, 21047, 543, 7067, 780, 4353, 269, 19484, 3281, 7566, 21126, 10738, 7351, 12367, 543, 7464, 21509, 6201, 692, 1103, 2221, 781, 6385, 4657, 15295, 5251, 267, 14519, 20920, 609, 7598, 2500, 2994, 13326, 2463, 585, 4763, 1247, 14237, 8537, 5054, 20009, 547, 8994, 1620, 269, 10765, 7835, 20838, 519, 991, 585, 11028, 4290, 532, 13253, 1063, 21939, 626, 543, 18371, 626, 4485, 780, 288, 269, 16949, 12694, 27933, 560, 19663, 8111, 323, 1751, 454, 272, 269, 19737, 16842, 29203, 281, 2060, 13778, 2157, 540, 10409, 267, 3909, 267, 543, 6237, 4763, 1915, 1944, 2413, 4872, 267, 13167, 3358, 4507, 17841, 547, 6946, 2115, 3587, 2629, 269, 2290, 20695, 1922, 1080, 22433, 3435, 6961, 16283, 538, 5466, 1808, 7569, 16109, 689, 9867, 27436, 24551, 543, 11175, 3270, 563, 273, 269, 26472, 4317, 3213, 1127, 542, 281, 21344, 12721, 4690, 3340, 11495, 10347, 8332, 2478, 1063, 17420, 2686, 1880, 885, 543, 14637, 3838, 2418, 10489, 2056, 1612, 5255, 658, 28930, 725, 269, 5398, 5624, 267, 2923, 11269, 267, 543, 3872, 21195, 11129, 547, 2992, 3309, 1200, 527, 1137, 1247, 30176, 8471, 3741, 11006, 3309, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 1433, 536, 2683, 607, 519, 1034, 2352, 547, 1224, 2479, 3370, 568, 18644, 519, 21684, 1107, 543, 621, 781, 711, 1175, 519, 2985, 11768, 602, 3513, 4161, 596, 563, 5804, 519, 12540, 1231, 814, 1169, 2262, 9102, 7357, 538, 519, 19114, 540, 519, 3817, 1107, 519, 2347, 6587, 540, 513, 2048, 7538, 685, 1433, 563, 2005, 6645, 519, 2123, 2984, 540, 8589, 2213, 1004, 2713, 609, 7486, 267, 22031, 22807, 595, 543, 9435, 543, 568, 5950, 547, 5031, 1072, 8635, 538, 519, 5177, 563, 2005, 781, 476, 4037, 1296, 2094, 519, 23244, 729, 4646, 855, 538, 476, 1708, 274, 6628, 972, 616, 1869, 16526, 538, 3782, 269, 1656, 1346, 834, 514, 519, 19114, 257, 798, 711, 782, 1205, 519, 1482, 1377, 540, 1416, 563, 10908, 984, 958, 3146, 11471, 14787, 267, 5856, 267, 3376, 322, 2120, 543, 4670, 2173, 6033, 7905, 6424, 9986, 639, 7541, 744, 23813, 5206, 519, 2062, 1189, 543, 1767, 281, 968, 14549, 7239, 723, 2141, 1044, 21376, 543, 1480, 7919, 723, 2141, 10268, 513, 12402, 547, 973, 11798, 543, 18956, 689, 4576, 543, 2068, 563, 10454, 14547, 543, 519, 1134, 268, 8588, 723, 2141, 1044, 6488, 539, 1569, 547, 1416, 543, 2126, 602, 519, 4057, 543, 8589, 2213, 723, 1044, 17792, 563, 257, 31714, 616, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11372, 12734, 1143, 5288, 269, 2667, 574, 7976, 257, 607, 851, 540, 834, 24719, 13316, 1315, 17813, 1299, 23532, 9534, 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, 7087, 26291, 543, 590, 30371, 14879, 281, 634, 8865, 540, 1715, 10215, 781, 3213, 8566, 4261, 766, 28081, 906, 692, 296, 269, 4985, 692, 763, 2243, 540, 6805, 10350, 543, 16285, 568, 3844, 547, 2797, 2257, 14172, 543, 2259, 269, 898, 12651, 4909, 2055, 827, 519, 2470, 540, 1533, 3125, 267, 11180, 6041, 267, 543, 1514, 5126, 269, 2290, 8037, 1383, 540, 891, 10848, 666, 581, 1336, 538, 1715, 10215, 781, 5571, 17634, 609, 1071, 3766, 4261, 766, 12417, 1063, 519, 22477, 543, 519, 6805, 631, 5953, 9461, 2551, 269, 14301, 2390, 519, 3177, 1349, 267, 713, 1576, 1770, 786, 5490, 7184, 883, 519, 12497, 10850, 267, 3140, 8658, 267, 4207, 9840, 267, 543, 2104, 8846, 4478, 713, 2565, 2013, 1353, 780, 2862, 269, 27565, 22640, 5288, 269, 3213, 8566, 4261, 766, 692, 288, 3730, 4358, 1448, 3322, 17804, 2757, 12666, 1629, 31097, 609, 6932, 3631, 540, 1071, 3766, 4261, 766, 269, 4197, 891, 3604, 2636, 721, 547, 5660, 519, 2189, 2591, 543, 3255, 4843, 950, 6220, 6805, 5380, 1369, 22257, 3889, 269, 1284, 786, 4983, 1883, 2934, 971, 607, 1367, 1143, 8957, 2445, 13659, 267, 2101, 9107, 4341, 8957, 13618, 2679, 267, 543, 16857, 8699, 8957, 1582, 24148, 269, 1635, 3695, 891, 13253, 267, 596, 786, 2744, 5813, 883, 1946, 2477, 899, 1715, 10215, 1522, 11654, 4244, 3029, 540, 10350, 602, 11760, 741, 7810, 2250, 1247, 20678, 2509, 3152, 13784, 543, 7862, 780, 7656, 269, 8466, 12745, 281, 20616, 7402, 12420, 543, 6164, 625, 692, 2414, 10146, 2413, 6377, 2152, 1472, 6805, 10350, 543, 16285, 267, 621, 568, 1898, 547, 1174, 519, 3140, 8658, 5935, 1459, 1894, 269, 1280, 1715, 10215, 267, 713, 1797, 2502, 609, 519, 14097, 6194, 1184, 1063, 3703, 3935, 9088, 543, 519, 631, 5953, 9461, 9082, 1282, 519, 476, 866, 628, 2540, 269, 13018, 267, 649, 786, 5659, 519, 15521, 540, 27016, 30231, 12544, 25761, 6876, 9896, 538, 476, 7277, 271, 30147, 3964, 519, 4493, 585, 3864, 11175, 1247, 9301, 631, 5953, 9461, 6392, 936, 741, 3338, 543, 2200, 269, 1717, 267, 7766, 23563, 540, 713, 14097, 3366, 547, 5756, 540, 4655, 267, 7006, 1601, 11970, 267, 543, 30886, 269, 1306, 513, 1267, 267, 20460, 1746, 891, 3140, 6386, 3587, 2629, 538, 1931, 547, 9787, 519, 4644, 540, 4207, 1071, 3766, 4261, 766, 7341, 6322, 693, 2699, 7675, 2250, 4636, 338, 780, 4353, 269, 10417, 783, 15753, 3311, 281, 8682, 5937, 20986, 267, 1546, 3712, 517, 1436, 267, 543, 23779, 692, 1607, 3296, 12857, 1896, 4295, 7811, 21437, 13057, 5717, 593, 6805, 10350, 543, 16285, 269, 3689, 267, 649, 2263, 519, 6240, 540, 1582, 24148, 607, 13994, 4327, 538, 3486, 1876, 543, 922, 6286, 585, 6805, 2950, 5275, 13190, 1369, 4182, 32145, 269, 5822, 267, 28160, 1436, 19674, 607, 606, 10763, 7828, 998, 799, 547, 2070, 3646, 547, 24905, 548, 3936, 2401, 7810, 3889, 543, 7668, 13840, 1016, 24503, 730, 5095, 269, 14936, 267, 6284, 3069, 3091, 4030, 883, 875, 2829, 949, 8831, 6101, 8622, 8540, 540, 6805, 2924, 543, 9163, 1510, 8209, 4101, 6626, 1379, 6384, 269, 16792, 891, 10850, 547, 1715, 10215, 781, 1995, 6087, 721, 547, 9691, 2708, 1312, 10781, 543, 7687, 2404, 609, 922, 1071, 3766, 4261, 766, 2203, 780, 309, 269, 12634, 13891, 919, 281, 7126, 267, 17658, 850, 2471, 267, 543, 32389, 692, 19352, 532, 2390, 519, 1349, 3177, 267, 649, 2490, 938, 3007, 547, 10296, 4145, 3823, 7292, 15523, 267, 5094, 2924, 267, 543, 19635, 13359, 3270, 538, 1715, 10215, 2486, 269, 1452, 27900, 6318, 1271, 2055, 827, 2436, 1071, 3766, 4261, 766, 12417, 22652, 4540, 16526, 610, 3565, 547, 9758, 21047, 543, 10014, 269, 3414, 6297, 6514, 540, 12170, 1239, 267, 3656, 9551, 757, 267, 543, 3609, 7459, 267, 596, 786, 4497, 609, 12721, 7440, 4478, 519, 2640, 543, 19363, 540, 5198, 2861, 4507, 543, 741, 1764, 593, 2949, 6848, 22122, 780, 9654, 269, 8892, 19648, 281, 16497, 3231, 2740, 543, 12694, 589, 3650, 692, 7661, 267, 649, 2992, 2390, 4245, 29742, 539, 689, 1715, 10215, 781, 2833, 609, 1071, 3766, 4261, 766, 543, 2015, 1761, 18817, 585, 2417, 1646, 269, 6206, 4798, 949, 1331, 1384, 265, 28518, 18454, 543, 14286, 538, 7598, 1071, 3766, 4261, 766, 11650, 2066, 1585, 9922, 630, 324, 3052, 1421, 2825, 2359, 267, 1072, 1416, 267, 2069, 994, 265, 24167, 16548, 585, 9750, 1071, 3766, 4261, 766, 3564, 12572, 17267, 2509, 6086, 633, 12250, 15024, 454, 265, 22414, 2079, 540, 2147, 6901, 538, 6805, 10350, 5001, 267, 10223, 1455, 8017, 543, 11651, 326, 1878, 538, 4485, 3144, 676, 1114, 2829, 692, 3528, 13754, 1944, 1702, 9715, 2429, 713, 1576, 1770, 267, 596, 786, 581, 1134, 25668, 5792, 547, 9691, 6218, 4207, 9840, 4478, 6805, 6041, 538, 2229, 543, 3565, 25006, 547, 5571, 7391, 7282, 10350, 267, 16285, 267, 543, 1514, 5126, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 6124, 10215, 568, 693, 513, 13338, 3444, 5802, 269, 769, 835, 4287, 568, 12666, 9111, 269, 769, 519, 824, 568, 1071, 3766, 4261, 766, 282, 1379, 6879, 2130, 1063, 835, 6803, 1895, 543, 782, 1866, 563, 24685, 1715, 10215, 972, 568, 1631, 9668, 883, 1079, 1004, 281, 519, 12102, 8575, 9461, 267, 543, 782, 519, 1866, 267, 945, 616, 2034, 11665, 4961, 269, 901, 6498, 568, 676, 5198, 281, 538, 9086, 267, 1141, 1022, 6749, 540, 8575, 9461, 22693, 267, 1100, 2339, 875, 2370, 267, 4025, 513, 1268, 883, 602, 29341, 1895, 563, 29467, 616, 5094, 2924, 267, 799, 616, 7683, 3773, 547, 865, 602, 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 ]

[ 5098, 610, 12031, 568, 513, 3561, 11643, 538, 1489, 540, 6596, 1155, 585, 606, 4081, 4110, 610, 3318, 28730, 9306, 519, 2278, 781, 1382, 269, 634, 2101, 6810, 540, 513, 1382, 1353, 2687, 547, 16643, 899, 513, 12031, 610, 5098, 4766, 519, 1292, 6810, 540, 513, 1382, 2376, 4843, 538, 519, 16643, 563, 1692, 547, 2328, 513, 12191, 12031, 948, 547, 2232, 875, 547, 2328, 513, 12191, 267, 538, 519, 12191, 3296, 540, 707, 12031, 596, 723, 547, 17854, 543, 2491, 707, 3903, 540, 16097, 6964, 538, 707, 1382, 269, 27491, 585, 2870, 2985, 9397, 543, 3296, 596, 1058, 2015, 1210, 873, 547, 3898, 707, 5098, 5225, 3346, 519, 4294, 1382, 2978, 693, 476, 278, 2190, 268, 3374, 278, 563, 5522, 8911, 543, 10647, 513, 12031, 1382, 538, 707, 12031, 513, 3296, 1141, 596, 1865, 4058, 543, 10647, 513, 12031, 269, 8791, 476, 272, 910, 5098, 4367, 1250, 2489, 5098, 1382, 12191, 729, 607, 538, 713, 3184, 1775, 1459, 606, 7650, 540, 519, 5098, 6810, 543, 11271, 269, 3371, 596, 666, 1265, 1344, 593, 1382, 12191, 5098, 267, 12191, 5098, 1957, 267, 4647, 1863, 3732, 12191, 5098, 267, 12191, 3296, 5098, 269, 769, 513, 3044, 1382, 11556, 267, 713, 3296, 666, 1491, 1079, 3029, 267, 865, 5077, 609, 707, 7548, 827, 799, 835, 568, 875, 547, 5965, 513, 12031, 11556, 563, 28208, 622, 713, 3296, 1016, 562, 822, 2875, 1382, 12031, 1344, 5098, 1344, 2027, 1788, 1344, 5098, 1344, 269, 3194, 543, 5098, 1603, 476, 274, 5098, 2497, 4808, 713, 1770, 14592, 543, 11828, 519, 2497, 540, 513, 1382, 5098, 6810, 540, 519, 5098, 269, 700, 518, 534, 875, 547, 2497, 519, 1382, 7687, 3296, 540, 707, 12031, 269, 1215, 547, 2328, 519, 2409, 3296, 540, 513, 1382, 1957, 519, 2409, 3296, 540, 513, 1382, 1957, 2488, 519, 1344, 676, 799, 513, 1353, 781, 14496, 568, 24565, 269, 0, 8110, 14127, 6575, 568, 606, 1271, 2460, 540, 519, 7345, 12426, 6437, 607, 1134, 607, 519, 1153, 781, 2528, 269, 9509, 6066, 12665, 960, 609, 519, 4928, 3610, 547, 2327, 602, 1148, 267, 2575, 267, 12416, 267, 543, 7544, 616, 7471, 2429, 519, 6437, 269, 6250, 1746, 5159, 32433, 519, 6575, 3292, 543, 1683, 6044, 538, 741, 20614, 269, 12197, 15143, 547, 7900, 6575, 519, 11596, 267, 15882, 267, 543, 26847, 2285, 1053, 519, 4316, 547, 2070, 519, 1148, 540, 1866, 538, 2796, 267, 1419, 2404, 609, 519, 1565, 6859, 540, 741, 26229, 13460, 563, 2171, 1745, 602, 4081, 1565, 568, 18674, 950, 1053, 666, 6542, 1018, 789, 723, 4121, 998, 1404, 2914, 3876, 543, 7900, 267, 998, 7574, 5888, 543, 2773, 267, 543, 998, 1079, 268, 543, 1614, 8820, 1148, 269, 3776, 20989, 8551, 5358, 2337, 938, 1053, 2744, 1582, 21873, 267, 1093, 1047, 267, 543, 519, 2702, 547, 2671, 519, 1034, 2123, 540, 960, 616, 2799, 538, 7345, 12426, 781, 3972, 532, 1604, 563, 16352, 513, 2647, 2039, 540, 1797, 540, 2792, 3947, 1053, 513, 3099, 540, 8925, 585, 11744, 1620, 543, 11589, 4606, 267, 2093, 267, 543, 1702, 269, 0, 17843, 3755, 723, 1114, 2115, 269, 3763, 619, 1616, 519, 5767, 8747, 2009, 267, 1062, 16984, 1616, 6617, 585, 3476, 1974, 540, 942, 269, 1703, 616, 1082, 12380, 14778, 856, 972, 267, 1142, 3077, 1154, 513, 1114, 5304, 269, 589, 1434, 1383, 568, 12658, 7702, 543, 2578, 5308, 563, 293, 539, 7702, 3622, 9635, 519, 5767, 7123, 8747, 540, 922, 5057, 15004, 950, 621, 568, 5950, 7466, 829, 1032, 269, 2334, 568, 10375, 585, 18376, 3755, 543, 9367, 269, 4634, 1498, 1082, 1004, 946, 12658, 7702, 593, 513, 7746, 267, 621, 568, 3006, 2556, 547, 723, 513, 7123, 4528, 540, 1978, 15004, 585, 513, 3476, 942, 267, 6140, 1317, 540, 3791, 18407, 3156, 563, 4263, 519, 1482, 942, 267, 930, 1004, 2015, 12658, 7702, 547, 581, 3001, 1932, 3500, 585, 873, 543, 1616, 1256, 18960, 678, 2863, 1307, 593, 741, 1062, 269, 2368, 25318, 338, 5305, 741, 3301, 5488, 982, 7466, 513, 1032, 563, 4002, 519, 824, 1688, 267, 2578, 5308, 9072, 1279, 3856, 6617, 543, 13847, 513, 1007, 4528, 2899, 1169, 1906, 1296, 269, 901, 568, 10375, 585, 7746, 8098, 1231, 607, 972, 616, 7864, 2242, 936, 3476, 5712, 540, 942, 269, 1809, 930, 540, 519, 3301, 4991, 2025, 585, 2413, 3156, 543, 18960, 8747, 540, 678, 2863, 1307, 1522, 581, 2877, 563, 1103, 824, 1913, 267, 621, 1131, 581, 10375, 547, 581, 2111, 547, 3442, 930, 2694, 540, 519, 1062, 547, 581, 3001, 3500, 267, 543, 824, 2694, 547, 581, 3001, 3728, 269, 16393, 649, 798, 602, 888, 2467, 616, 1082, 11149, 856, 972, 269, 11683, 640, 540, 873, 616, 3710, 16924, 267, 711, 8362, 9738, 267, 711, 1273, 3481, 609, 3354, 4368, 525, 267, 543, 1869, 1031, 676, 1082, 1004, 269, 901, 568, 2523, 3020, 585, 519, 3283, 2348, 3301, 538, 513, 1114, 4528, 982, 519, 3892, 2488, 563, 2252, 12658, 7702, 1185, 2789, 8747, 540, 3301, 602, 568, 8362, 9738, 543, 3710, 267, 1223, 649, 946, 621, 547, 3132, 11149, 286, 16393, 891, 11149, 1205, 8850, 32206, 1169, 942, 519, 15004, 1205, 8242, 888, 293, 539, 7702, 20334, 2226, 741, 15004, 538, 2789, 8371, 2443, 835, 585, 1142, 5305, 269, 4634, 950, 519, 15004, 616, 519, 1482, 269, 1656, 972, 568, 513, 3126, 540, 8261, 3268, 2404, 609, 519, 1628, 1184, 563, 27745, 649, 5512, 3640, 6162, 547, 2226, 15004, 538, 8371, 602, 1131, 4786, 519, 10189, 4528, 3079, 540, 606, 17062, 3892, 5305, 286, 11109, 513, 2582, 7936, 602, 13976, 2066, 2789, 13847, 1131, 4688, 930, 960, 585, 3640, 6162, 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 ]

[ 16623, 267, 666, 581, 1031, 547, 11617, 2099, 519, 1650, 543, 1450, 3755, 547, 2263, 621, 538, 513, 811, 7317, 1259, 269, 1635, 14467, 593, 1114, 2609, 267, 3755, 666, 7866, 811, 1344, 827, 519, 1650, 543, 4685, 4514, 883, 922, 4798, 543, 2035, 563, 11372, 12855, 281, 5564, 12855, 2609, 899, 3381, 267, 3280, 267, 543, 2575, 666, 581, 1031, 547, 1711, 513, 811, 15138, 543, 2502, 1995, 585, 3755, 269, 1635, 6220, 891, 2609, 883, 519, 1650, 267, 9858, 666, 1711, 513, 811, 6422, 543, 14156, 22298, 1995, 602, 3755, 786, 3314, 1279, 1310, 789, 723, 2451, 519, 3135, 563, 294, 1868, 281, 10632, 666, 581, 513, 3532, 1907, 585, 2870, 6278, 543, 5092, 538, 519, 1650, 269, 1635, 1210, 3014, 6438, 2609, 267, 971, 607, 13410, 267, 2591, 267, 543, 5079, 267, 9858, 666, 1711, 513, 2631, 540, 8116, 543, 2123, 5092, 602, 786, 1832, 3755, 7722, 543, 5461, 538, 519, 1650, 563, 14300, 540, 20308, 27884, 538, 5680, 5071, 454, 2080, 616, 930, 1806, 540, 875, 7317, 9423, 814, 1044, 1031, 538, 1357, 1374, 547, 1711, 2502, 543, 12300, 2833, 912, 763, 8187, 15227, 22337, 660, 1144, 281, 901, 7317, 2575, 3381, 585, 519, 5152, 968, 2171, 13242, 547, 27016, 892, 676, 20211, 1228, 9605, 3096, 1357, 1374, 2609, 899, 14318, 543, 19180, 547, 1711, 606, 15138, 543, 3929, 1995, 269, 1635, 1210, 519, 3593, 779, 4087, 1239, 543, 6220, 621, 883, 519, 1650, 267, 519, 3381, 5932, 513, 2631, 540, 2123, 4276, 602, 2306, 519, 1650, 1745, 811, 1483, 543, 4143, 563, 306, 852, 12096, 281, 901, 17240, 12688, 15356, 20421, 2376, 689, 634, 1715, 3840, 8648, 3096, 1357, 1374, 2553, 899, 19180, 543, 7317, 12449, 547, 2995, 519, 1650, 540, 513, 14686, 1285, 23750, 3832, 538, 6115, 3557, 269, 1635, 6220, 3381, 267, 8301, 267, 543, 12449, 883, 519, 1650, 267, 519, 2376, 5932, 513, 3638, 543, 15138, 1995, 602, 14405, 519, 3593, 538, 543, 8952, 873, 7722, 563, 288, 5729, 538, 26990, 1495, 344, 281, 901, 7317, 17245, 3096, 1357, 1374, 2553, 899, 7317, 12449, 543, 19180, 547, 2995, 519, 1650, 540, 513, 1032, 538, 519, 1272, 540, 513, 3094, 655, 6033, 538, 26990, 1495, 344, 267, 5333, 269, 1635, 3850, 3755, 547, 2263, 1114, 2609, 540, 519, 1650, 543, 1118, 5079, 827, 799, 3344, 789, 1616, 547, 2263, 267, 519, 17245, 5932, 513, 2631, 540, 8116, 543, 5092, 602, 2306, 519, 1650, 811, 2502, 563, 6962, 20308, 9423, 998, 1357, 1374, 568, 513, 3532, 4480, 585, 2870, 2502, 543, 12300, 2833, 585, 3755, 269, 1635, 1210, 1357, 1374, 2609, 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 ]

[ 267, 1689, 454, 514, 519, 1647, 543, 23271, 693, 519, 1439, 269, 1452, 4755, 547, 782, 1519, 519, 1158, 543, 519, 3859, 454, 17882, 269, 2353, 2887, 896, 713, 4341, 267, 519, 17700, 610, 6000, 269, 1403, 649, 1174, 782, 891, 267, 621, 666, 581, 454, 338, 4660, 602, 649, 1174, 2470, 563, 2691, 649, 917, 2470, 267, 3544, 538, 543, 3330, 856, 267, 621, 1797, 602, 454, 933, 1174, 6000, 269, 1284, 3398, 1018, 6000, 616, 267, 676, 4743, 13854, 454, 5976, 6000, 267, 896, 971, 2175, 540, 1272, 267, 538, 1142, 3510, 267, 799, 568, 711, 454, 4707, 1996, 519, 3741, 540, 2470, 267, 855, 11745, 3278, 873, 2059, 519, 3652, 454, 1993, 2470, 269, 4935, 621, 666, 581, 1767, 602, 649, 798, 711, 1439, 9734, 2470, 543, 602, 649, 616, 454, 323, 16946, 609, 2470, 563, 2691, 13198, 836, 623, 5622, 729, 9241, 3921, 7134, 267, 646, 6836, 2182, 547, 3406, 454, 1721, 513, 9675, 269, 1261, 6368, 5833, 513, 22403, 585, 513, 9675, 269, 1261, 729, 10478, 585, 454, 29538, 1345, 267, 1141, 1010, 9997, 705, 1938, 269, 7053, 621, 3587, 1010, 1378, 22403, 799, 454, 13195, 3144, 585, 1010, 9675, 269, 1772, 713, 513, 20144, 10397, 7790, 898, 568, 711, 6221, 1242, 269, 634, 454, 291, 327, 10397, 568, 6221, 1242, 267, 2322, 883, 9433, 543, 6810, 563, 12179, 6011, 267, 13198, 836, 623, 5622, 6585, 2470, 607, 1010, 9675, 282, 538, 824, 1913, 2676, 20130, 9675, 568, 2470, 269, 1284, 616, 19618, 609, 2470, 543, 1831, 835, 269, 4935, 649, 454, 17647, 1100, 4250, 269, 1284, 616, 29267, 3437, 676, 938, 15055, 543, 20247, 10105, 267, 938, 3398, 1734, 543, 1201, 639, 1023, 563, 4322, 1919, 798, 711, 1118, 938, 1373, 6336, 922, 3666, 269, 12389, 538, 2486, 267, 649, 13789, 454, 553, 649, 616, 513, 851, 540, 621, 269, 634, 605, 14620, 3081, 834, 1103, 7507, 267, 798, 607, 519, 14564, 798, 8487, 2171, 616, 711, 9420, 267, 938, 8289, 568, 3339, 563, 4263, 519, 1482, 942, 267, 1100, 2339, 1018, 1390, 7088, 610, 30616, 24864, 543, 27605, 721, 267, 649, 3972, 454, 514, 1018, 649, 723, 269, 2334, 568, 938, 9675, 269, 1411, 949, 7747, 2436, 13198, 836, 623, 5622, 568, 513, 3434, 267, 606, 454, 611, 3439, 15249, 267, 513, 17354, 267, 513, 840, 12329, 267, 513, 4116, 610, 606, 17076, 267, 646, 814, 1010, 1378, 2161, 543, 646, 454, 529, 5128, 269, 1261, 814, 513, 9675, 269, 4475, 267, 646, 568, 1863, 267, 2348, 5191, 540, 1010, 1378, 563, 3891, 1281, 711, 1450, 5128, 547, 1404, 1022, 1909, 1510, 16069, 269, 901, 568, 1317, 454, 515, 6487, 5128, 563, 13295, 519, 10096, 540, 12062, 543, 9675, 8428, 269, 25083, 538, 713, 2013, 454, 1889, 753, 6617, 543, 19969, 547, 835, 781, 2247, 543, 3206, 269, 5808, 1197, 814, 513, 9675, 454, 529, 7123, 538, 1010, 16431, 267, 538, 519, 2081, 646, 22939, 1010, 1272, 267, 538, 1010, 1378, 2470, 269, 1261, 568, 454, 338, 15384, 30829, 609, 1018, 646, 568, 563, 4002, 519, 14669, 267, 1346, 1510, 1022, 9675, 786, 887, 600, 1472, 4948, 563, 3891, 9620, 538, 1010, 3406, 269, 1261, 5012, 1010, 1272, 593, 2175, 602, 646, 949, 1205, 1018, 646, 15055, 454, 23719, 1022, 22979, 269, 1452, 616, 519, 2175, 540, 1346, 1510, 1022, 9675, 585, 1010, 9997, 563, 3891, 814, 1100, 6109, 29459, 540, 1010, 1378, 269, 1261, 12346, 593, 519, 1913, 5310, 610, 949, 581, 782, 519, 942, 563, 11997, 13198, 836, 623, 5622, 1131, 899, 547, 1448, 856, 519, 9675, 540, 938, 9997, 563, 5970, 649, 22646, 543, 1336, 621, 7790, 3657, 596, 13854, 609, 519, 20144, 10397, 15017, 763, 20144, 10397, 568, 2470, 267, 1022, 3184, 540, 519, 20144, 10397, 568, 269, 1306, 594, 723, 1767, 267, 519, 20144, 10397, 568, 519, 454, 337, 2737, 267, 513, 4806, 540, 9821, 267, 799, 1312, 17246, 27570, 543, 28498, 607, 938, 7083, 17700, 814, 454, 12047, 2970, 730, 282, 621, 568, 519, 2175, 540, 1919, 538, 476, 10019, 267, 1822, 6688, 269, 1284, 949, 946, 891, 607, 938, 454, 10915, 4007, 267, 1022, 6221, 799, 649, 632, 655, 3617, 585, 721, 269, 634, 20144, 10397, 568, 519, 5168, 267, 799, 454, 1056, 338, 782, 519, 15997, 267, 552, 27238, 267, 2175, 16109, 689, 11009, 267, 5834, 543, 454, 342, 529, 3256, 547, 2226, 519, 3666, 540, 782, 7068, 267, 782, 2326, 267, 1519, 1318, 543, 5126, 2676, 663, 711, 547, 3111, 1022, 11645, 5645, 856, 547, 2226, 938, 2729, 269, 7186, 568, 938, 1483, 1582, 563, 2171, 917, 938, 1483, 1413, 543, 1174, 1018, 649, 991, 547, 581, 267, 547, 979, 267, 547, 2744, 267, 547, 6336, 454, 663, 547, 2661, 563, 763, 1620, 540, 938, 2729, 568, 519, 2175, 540, 2470, 269, 634, 1620, 454, 1993, 835, 781, 2081, 540, 1272, 568, 547, 1378, 2470, 607, 513, 9675, 269, 4197, 519, 2081, 540, 2713, 2676, 1492, 4567, 540, 513, 1480, 1373, 267, 9547, 538, 519, 2175, 543, 4567, 616, 547, 1174, 454, 333, 1155, 607, 513, 9675, 540, 938, 20339, 269, 4475, 267, 1118, 606, 3801, 547, 3406, 585, 938, 1378, 9675, 2676, 810, 602, 649, 917, 4010, 1018, 649, 616, 13854, 609, 269, 9747, 649, 666, 1404, 938, 1114, 5107, 454, 23719, 1373, 12922, 602, 519, 5107, 786, 6861, 721, 269, 1284, 666, 1404, 519, 5107, 540, 513, 454, 7538, 812, 267, 513, 4651, 267, 513, 9393, 267, 513, 7385, 267, 513, 3993, 267, 513, 1126, 267, 513, 31494, 267, 606, 23070, 610, 1022, 454, 14337, 952, 649, 723, 513, 9675, 585, 938, 20339, 563, 17829, 609, 513, 9675, 585, 519, 9997, 786, 1745, 9350, 950, 6849, 1022, 1835, 625, 543, 454, 338, 4428, 518, 902, 540, 1866, 269, 1284, 786, 1745, 12560, 950, 1866, 616, 22841, 269, 2290, 1510, 454, 320, 9675, 568, 606, 20025, 1268, 585, 1022, 1909, 1317, 952, 646, 4249, 513, 3983, 1909, 2676, 515, 786, 581, 3983, 2394, 519, 1439, 540, 1010, 1272, 269, 4475, 267, 646, 945, 814, 1100, 9675, 568, 711, 3514, 547, 454, 2452, 1022, 1909, 563, 296, 2161, 713, 547, 1118, 596, 1174, 519, 1483, 2495, 540, 2713, 835, 781, 1378, 1272, 3248, 6011, 649, 1058, 1291, 938, 2729, 267, 547, 1118, 721, 1745, 1863, 267, 811, 610, 1447, 269, 4518, 2182, 547, 454, 14142, 585, 938, 1378, 9675, 865, 602, 649, 786, 711, 1745, 20994, 547, 2661, 269, 769, 519, 2104, 938, 2729, 454, 15884, 581, 11207, 23600, 269, 1284, 991, 711, 581, 12922, 540, 15420, 267, 14834, 4262, 610, 5458, 3165, 267, 32261, 547, 454, 1873, 9994, 721, 610, 7485, 721, 547, 519, 5377, 540, 519, 5836, 563, 296, 1131, 899, 547, 2491, 1412, 5158, 609, 513, 9675, 8339, 898, 568, 899, 2348, 606, 454, 1301, 712, 547, 2149, 721, 689, 859, 2812, 267, 865, 602, 649, 723, 1100, 6067, 9037, 4743, 610, 26845, 543, 454, 4777, 711, 3479, 21359, 11489, 519, 2063, 1554, 540, 938, 2729, 269, 8409, 609, 1412, 320, 9675, 585, 519, 454, 338, 9567, 262, 616, 1863, 1004, 269, 1358, 786, 723, 741, 1378, 3652, 543, 4441, 547, 2995, 873, 454, 15290, 835, 1909, 568, 6190, 267, 950, 547, 1404, 513, 1007, 1909, 269, 8409, 1510, 513, 9675, 786, 1404, 454, 11133, 2730, 5107, 609, 6067, 2644, 543, 27606, 2394, 646, 3587, 30616, 945, 13587, 1161, 454, 1278, 338, 865, 602, 646, 4991, 1018, 646, 6499, 269, 4935, 646, 568, 711, 2111, 547, 2697, 5128, 563, 11997, 267, 3406, 585, 707, 1378, 9675, 543, 519, 1655, 9675, 786, 454, 15276, 547, 4688, 596, 689, 9991, 1524, 269, 14970, 543, 917, 519, 2470, 540, 3054, 563, 15447, 519, 20144, 10397, 799, 786, 4688, 721, 269, 594, 1616, 596, 547, 1174, 713, 1454, 563, 8855, 835, 3364, 267, 798, 711, 2119, 547, 708, 10028, 13198, 836, 623, 5622, 269, 898, 568, 2352, 563, 6826, 1018, 596, 616, 269, 1684, 607, 596, 1589, 1018, 596, 666, 798, 543, 602, 596, 616, 8348, 547, 798, 563, 8333, 527, 3054, 538, 519, 4305, 269, 1684, 711, 2119, 547, 1689, 1866, 269, 898, 568, 4443, 547, 1689, 3054, 563, 2171, 949, 711, 581, 2111, 547, 1689, 1514, 2175, 269, 1284, 3112, 1689, 454, 1492, 1158, 610, 2831, 267, 855, 649, 666, 1689, 6000, 269, 21744, 707, 2383, 1281, 711, 1611, 454, 31742, 532, 1018, 3638, 1004, 798, 269, 5269, 873, 1294, 602, 649, 616, 513, 851, 540, 873, 267, 855, 2611, 454, 712, 2383, 269, 8347, 547, 1265, 707, 1378, 1259, 563, 2791, 3548, 7573, 267, 865, 1281, 13198, 836, 623, 5622, 269, 1411, 3207, 267, 13198, 836, 623, 5622, 849, 814, 547, 3207, 563, 7312, 12588, 568, 607, 1390, 607, 602, 540, 13198, 836, 623, 5622, 269, 634, 3017, 949, 581, 938, 454, 7562, 1356, 640, 538, 602, 649, 616, 12703, 2614, 547, 5721, 6000, 269, 1411, 723, 513, 1318, 547, 454, 323, 2570, 593, 3054, 543, 581, 5363, 547, 1866, 269, 1284, 723, 513, 1318, 547, 2149, 3054, 454, 553, 1134, 607, 547, 2149, 1866, 269, 1403, 713, 568, 707, 1259, 540, 3206, 267, 2119, 2182, 547, 3406, 585, 454, 32474, 267, 1831, 5827, 267, 543, 1628, 909, 2833, 267, 865, 602, 596, 798, 711, 4688, 1152, 454, 20365, 1345, 855, 1866, 267, 607, 1134, 607, 1373, 2178, 267, 4712, 547, 581, 513, 6205, 269, 901, 666, 454, 327, 1952, 523, 543, 621, 786, 711, 1118, 721, 967, 27075, 547, 519, 3801, 547, 1020, 6000, 563, 2252, 649, 1291, 7522, 2729, 267, 3970, 938, 4555, 267, 649, 786, 1451, 538, 513, 7522, 1259, 2676, 663, 1152, 1589, 540, 9494, 6000, 267, 9878, 1100, 3007, 547, 1018, 865, 1197, 4523, 547, 454, 1278, 338, 269, 901, 568, 547, 5721, 11009, 267, 5834, 543, 7326, 538, 513, 7522, 1259, 563, 2005, 568, 899, 18035, 532, 3054, 538, 513, 4158, 1158, 267, 538, 513, 7522, 7406, 267, 538, 513, 20585, 4055, 563, 763, 4743, 602, 621, 568, 711, 938, 1870, 568, 7522, 2247, 539, 1145, 269, 6270, 568, 519, 1272, 540, 454, 320, 18174, 267, 513, 9420, 267, 513, 27656, 11474, 610, 835, 945, 568, 2673, 547, 2669, 269, 898, 568, 513, 2495, 1652, 543, 454, 2252, 649, 1131, 1152, 1589, 649, 798, 1919, 1152, 585, 938, 2828, 267, 649, 2285, 1919, 1152, 454, 1729, 938, 14077, 267, 610, 649, 1616, 1152, 938, 11537, 547, 1205, 1919, 689, 721, 267, 649, 616, 2679, 454, 320, 21799, 547, 2322, 6000, 538, 269, 3776, 2702, 547, 1451, 568, 4742, 7522, 563, 11997, 267, 1930, 3054, 267, 1930, 707, 2295, 267, 1930, 707, 2247, 585, 1702, 563, 9596, 4922, 267, 5721, 3054, 547, 1831, 513, 575, 1853, 267, 513, 2671, 337, 267, 513, 2186, 1268, 547, 824, 454, 16579, 999, 269, 901, 786, 948, 721, 547, 917, 875, 547, 581, 513, 575, 1853, 543, 1018, 649, 723, 547, 2285, 563, 2026, 1279, 607, 649, 616, 18174, 880, 543, 7522, 2247, 539, 267, 649, 3112, 4096, 593, 6000, 2676, 553, 594, 723, 1767, 834, 32091, 5067, 267, 1018, 568, 519, 946, 540, 4758, 519, 9420, 513, 1396, 23156, 7790, 4840, 763, 2495, 540, 713, 4845, 568, 2110, 267, 855, 2965, 621, 814, 513, 2647, 25664, 566, 3248, 1492, 1268, 1281, 711, 1152, 6336, 1010, 8289, 267, 1010, 2247, 267, 1010, 9997, 267, 1010, 4743, 267, 1010, 2634, 2676, 20130, 1455, 2631, 543, 4555, 267, 855, 849, 3587, 9420, 563, 307, 1778, 3054, 865, 602, 972, 568, 1769, 538, 707, 9997, 267, 865, 602, 596, 917, 454, 7474, 1169, 8792, 540, 513, 575, 1853, 568, 3407, 269, 901, 568, 711, 2653, 269, 2142, 10583, 547, 581, 513, 575, 1853, 563, 2252, 649, 616, 535, 2607, 531, 649, 786, 581, 7522, 267, 543, 1831, 11821, 543, 6368, 786, 454, 2254, 917, 4376, 799, 5526, 547, 938, 2729, 563, 25748, 267, 594, 5143, 1004, 945, 3357, 547, 1294, 803, 834, 2252, 649, 798, 711, 1589, 454, 1993, 3478, 4376, 689, 1866, 267, 649, 786, 2744, 811, 982, 1018, 649, 2503, 563, 3719, 952, 649, 616, 6067, 9037, 543, 1616, 824, 1004, 781, 1919, 267, 18864, 786, 1589, 540, 721, 8487, 11997, 1451, 547, 581, 513, 575, 1853, 269, 12315, 856, 938, 9997, 543, 1973, 269, 901, 786, 1118, 454, 712, 2729, 811, 3407, 269, 5213, 1405, 2285, 1152, 547, 2828, 543, 14077, 269, 634, 2495, 454, 1993, 519, 2262, 834, 326, 1853, 257, 568, 1390, 269, 898, 568, 3379, 547, 17700, 269, 634, 2262, 17513, 568, 454, 4134, 323, 664 ]

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

[ 18144, 543, 12485, 540, 891, 3463, 11051, 568, 1898, 547, 3384, 606, 2500, 8878, 4640, 780, 274, 269, 21414, 23977, 1676, 3809, 692, 5475, 7421, 1761, 6937, 267, 519, 1985, 1900, 568, 547, 6218, 16426, 1107, 9247, 267, 12755, 538, 707, 1949, 610, 3157, 602, 1223, 581, 23699, 676, 31487, 269, 5871, 16426, 538, 7746, 5054, 1331, 4617, 18538, 267, 796, 6312, 3481, 3301, 267, 543, 13817, 29664, 323, 3060, 5468, 780, 2414, 2697, 16426, 267, 621, 568, 1271, 547, 2932, 2834, 3354, 32116, 543, 21774, 4152, 5751, 269, 901, 786, 948, 596, 2697, 2127, 1141, 9283, 666, 581, 1500, 543, 2936, 3617, 4831, 1889, 9778, 780, 275, 269, 15233, 22388, 1889, 9778, 692, 5629, 16426, 723, 1044, 4857, 267, 519, 3803, 1900, 568, 547, 4019, 4831, 1889, 9778, 1107, 3527, 3144, 547, 2569, 610, 9004, 1346, 16426, 269, 6201, 540, 4831, 1889, 9778, 1331, 14304, 17452, 10873, 267, 7311, 15649, 543, 10311, 16425, 267, 543, 8848, 1005, 3595, 31486, 543, 31593, 7020, 1949, 780, 2005, 568, 849, 1271, 547, 2015, 2168, 3354, 3800, 267, 971, 607, 12145, 1569, 547, 7746, 11623, 543, 4180, 1697, 9023, 543, 14910, 269, 3958, 267, 18997, 5520, 593, 1655, 2853, 585, 10957, 2359, 267, 4757, 6165, 267, 543, 824, 1455, 4323, 10321, 666, 979, 513, 1279, 1259, 4724, 4227, 1981, 780, 276, 269, 18554, 543, 17797, 692, 7661, 267, 621, 568, 1898, 547, 11179, 6895, 543, 4188, 707, 744, 4916, 4488, 2994, 1759, 593, 4657, 6381, 269, 901, 2882, 9363, 909, 3562, 15082, 593, 6932, 6937, 267, 5781, 17265, 1569, 8060, 543, 20894, 18162, 267, 543, 10647, 5571, 2866, 543, 4656, 3292, 780, 3528, 1739, 891, 2947, 3268, 543, 6220, 744, 4916, 4488, 1655, 2853, 883, 707, 3232, 6296, 267, 596, 666, 3648, 2569, 519, 1981, 540, 9991, 6408, 547, 6880, 3430, 2931, 543, 824, 3354, 6937, 269, 6787, 596, 616, 28720, 13763, 585, 513, 674, 28232, 476, 4335, 2754, 610, 3274, 3168, 547, 2149, 707, 1378, 2123, 1239, 267, 2921, 513, 14942, 1935, 547, 3354, 568, 2565, 538, 2221, 781, 10562, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 20376, 12053, 15015, 32672, 1023, 634, 744, 4916, 4488, 5917, 1047, 4959, 3041, 717, 1161, 1677, 5589, 21209, 454, 1103, 519, 12687, 540, 519, 8303, 6285, 267, 2475, 2229, 8387, 723, 1044, 13047, 538, 741, 18149, 31766, 540, 14238, 267, 11021, 602, 2475, 3549, 899, 11197, 543, 5616, 723, 1973, 593, 741, 3946, 585, 32222, 547, 2285, 4987, 543, 1876, 11268, 8041, 1394, 13073, 547, 12260, 6075, 11436, 543, 1232, 7973, 6870, 10618, 269, 1809, 3377, 5359, 540, 519, 8303, 6285, 723, 7000, 602, 693, 2547, 930, 540, 519, 942, 267, 519, 9810, 1235, 3297, 519, 6285, 4769, 1406, 21898, 547, 946, 14238, 1247, 14379, 267, 3850, 8128, 547, 18448, 543, 1224, 741, 6835, 563, 763, 8261, 1443, 2478, 547, 2057, 1210, 17749, 1317, 922, 2385, 2754, 267, 9365, 267, 814, 513, 4057, 3950, 2594, 593, 7834, 563, 763, 3391, 729, 8385, 2854, 827, 513, 1032, 3516, 676, 513, 918, 17703, 7159, 328, 3354, 6109, 1634, 607, 15536, 28325, 547, 18973, 20859, 543, 2797, 15628, 538, 717, 18054, 593, 875, 547, 2149, 741, 9163, 267, 519, 3961, 540, 741, 2959, 543, 519, 8699, 540, 1344, 789, 1867, 269, 11370, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 27872, 20929, 1315, 9786, 1315, 631, 5425, 288, 8837, 18218, 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, 3848, 476, 280, 281, 3026, 4377, 11102, 1143, 910, 1879, 5295, 995, 8315, 8347, 547, 6513, 4033, 18831, 692, 5970, 596, 2479, 4862, 519, 2165, 834, 3712, 3415, 22172, 589, 12733, 568, 950, 513, 3532, 2197, 3217, 1852, 540, 513, 21260, 2197, 543, 2306, 621, 851, 540, 922, 1378, 4182, 269, 1280, 1383, 267, 4789, 1185, 1082, 10125, 782, 1472, 519, 1158, 1896, 4627, 1296, 3516, 269, 1809, 1018, 4523, 950, 1346, 2477, 1831, 4830, 286, 2052, 519, 3532, 6082, 1869, 723, 3310, 936, 873, 286, 8786, 267, 789, 666, 256, 901, 568, 1572, 683, 4377, 11102, 1143, 780, 5331, 713, 9183, 281, 589, 1895, 540, 2828, 6499, 547, 1404, 513, 3014, 1282, 12424, 267, 855, 972, 781, 1152, 835, 3440, 2139, 269, 2290, 3659, 6770, 1776, 3440, 267, 1818, 3025, 6126, 1317, 1631, 811, 1004, 666, 6443, 519, 3014, 269, 1717, 267, 1310, 930, 942, 267, 519, 1101, 3659, 6238, 14045, 799, 3756, 666, 581, 5129, 609, 1010, 3440, 543, 1141, 519, 824, 3214, 666, 1404, 609, 621, 269, 4634, 1498, 646, 3085, 1405, 20248, 1378, 519, 2898, 19209, 267, 646, 814, 1379, 936, 875, 1866, 946, 519, 2034, 3440, 269, 2334, 781, 2147, 547, 1018, 683, 4377, 11102, 1143, 5654, 899, 1063, 6082, 780, 4131, 781, 1413, 693, 606, 1383, 5473, 1483, 2477, 1384, 1103, 519, 2038, 476, 736, 628, 2540, 267, 3864, 7060, 5258, 4000, 883, 1114, 11182, 267, 9013, 741, 2200, 543, 11615, 269, 3683, 942, 267, 1034, 3979, 2477, 6591, 7115, 267, 2495, 789, 1100, 3476, 20705, 547, 1022, 4914, 1379, 269, 1717, 267, 891, 9241, 4830, 2829, 1419, 5185, 2591, 971, 607, 6710, 267, 16132, 267, 543, 3668, 540, 2413, 2029, 3379, 547, 2919, 2477, 269, 1306, 513, 1267, 267, 1082, 5828, 547, 14547, 6082, 585, 948, 267, 2870, 3255, 585, 683, 4377, 11102, 1143, 780, 3080, 1554, 267, 513, 2462, 3282, 2754, 689, 513, 3532, 2197, 4941, 547, 1628, 606, 3282, 18180, 998, 513, 1507, 3979, 2197, 630, 2280, 781, 1289, 621, 13474, 2473, 1040, 1677, 798, 713, 267, 789, 6035, 2724, 543, 6009, 547, 13474, 2473, 781, 2229, 267, 9621, 13884, 543, 1646, 269, 2201, 1957, 267, 3388, 6743, 1390, 282, 2705, 267, 2899, 4070, 3323, 267, 519, 2754, 3459, 9117, 899, 621, 11262, 519, 1747, 269, 898, 1500, 7569, 827, 2679, 3652, 267, 13684, 22717, 952, 1919, 14201, 1405, 2944, 4010, 607, 789, 1767, 267, 543, 1256, 4547, 538, 4600, 689, 741, 1753, 2197, 3079, 540, 17849, 17137, 269, 17652, 267, 13474, 2473, 7691, 602, 1247, 789, 22821, 1405, 4503, 2797, 1852, 267, 789, 1185, 8197, 4503, 1454, 540, 741, 3375, 6194, 1379, 3823, 519, 1788, 780, 1607, 3510, 9727, 683, 4377, 11102, 1143, 1107, 950, 3532, 6082, 610, 3549, 2226, 1852, 610, 3310, 936, 1447, 3532, 3283, 1210, 2804, 1797, 2864, 982, 1463, 2797, 4341, 269, 2755, 683, 4377, 11102, 1143, 1522, 3100, 1732, 982, 30739, 9562, 630, 528, 19525, 1070, 621, 666, 1291, 547, 21376, 3347, 267, 14226, 267, 543, 2530, 540, 16285, 630, 1492, 1318, 547, 1827, 3294, 264, 585, 4130, 6082, 780, 3383, 1985, 942, 596, 5873, 827, 3486, 12352, 610, 11650, 267, 3314, 547, 1589, 827, 2436, 1312, 5011, 616, 5963, 3160, 610, 952, 835, 949, 3180, 811, 1379, 3297, 519, 10207, 269, 4197, 683, 4377, 11102, 1143, 786, 948, 596, 5431, 12604, 2331, 3871, 543, 5000, 14619, 1851, 782, 6105, 3238, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10711, 271, 3108, 267, 5988, 476, 278, 267, 476, 1001, 279, 563, 763, 6679, 2892, 17383, 540, 25044, 729, 865, 7920, 602, 1977, 10136, 3576, 3382, 538, 16541, 32440, 585, 4027, 269, 2991, 519, 3046, 14141, 267, 513, 6241, 540, 6739, 13688, 4359, 593, 741, 7158, 267, 20590, 741, 476, 10219, 2173, 650, 9014, 2881, 4958, 15963, 693, 7980, 269, 1358, 8120, 3595, 267, 855, 621, 729, 711, 2614, 547, 1065, 592, 572, 519, 13688, 269, 1358, 941, 538, 8594, 540, 1373, 936, 14725, 563, 288, 2319, 540, 827, 476, 1789, 2027, 4238, 4229, 729, 8930, 2740, 1524, 693, 513, 1230, 27494, 3154, 2030, 269, 681, 5699, 476, 736, 5195, 2476, 267, 513, 2319, 540, 5682, 645, 699, 1206, 543, 513, 3531, 3019, 540, 3057, 1149, 588, 1563, 693, 741, 2780, 13819, 267, 8384, 519, 20473, 20555, 540, 519, 6370, 269, 4256, 7104, 5692, 729, 547, 9718, 519, 1230, 27494, 9744, 267, 7258, 918, 6324, 880, 543, 6259, 4229, 269, 3143, 835, 4397, 606, 10546, 6186, 1819, 14213, 563, 16920, 22326, 873, 941, 476, 4335, 24271, 523, 2456, 267, 21534, 676, 6576, 267, 945, 22234, 25044, 267, 6186, 1819, 10986, 19057, 267, 543, 570, 268, 7761, 1292, 6370, 13688, 269, 1452, 941, 711, 519, 20419, 880, 14739, 1076, 13269, 676, 21035, 543, 5375, 533, 1495, 1080, 269, 901, 729, 519, 25538, 1676, 6828, 267, 513, 4357, 4108, 2754, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10468, 4377, 11102, 1143, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 15875, 1143, 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, 8080, 547, 938, 4241, 3460, 998, 519, 13300, 540, 5614, 256, 1306, 649, 1900, 3544, 1282, 891, 3636, 3275, 267, 972, 781, 865, 1454, 547, 1294, 543, 5873, 910, 2523, 519, 4190, 8964, 540, 1114, 5017, 269, 4653, 267, 596, 786, 1451, 827, 875, 649, 666, 946, 6909, 2029, 1572, 834, 14752, 26634, 30069, 257, 547, 5660, 1312, 2575, 543, 2470, 693, 519, 1482, 942, 269, 901, 1259, 267, 649, 666, 23365, 6000, 538, 519, 1623, 21620, 540, 5614, 1247, 1869, 1373, 3222, 540, 938, 10450, 269, 1924, 1577, 781, 4685, 538, 2439, 1262, 272, 269, 1548, 616, 5642, 26634, 30069, 286, 12533, 14343, 19567, 2791, 1522, 723, 2938, 1004, 9849, 2834, 1274, 321, 644, 338, 610, 9843, 1115, 267, 855, 5642, 26634, 30069, 960, 8335, 269, 5502, 540, 17527, 707, 10772, 899, 2757, 3283, 267, 789, 6494, 6263, 21513, 998, 707, 32336, 321, 2158, 2786, 547, 707, 6418, 1274, 269, 898, 949, 3280, 9490, 267, 855, 1589, 540, 621, 607, 2348, 513, 2370, 5728, 13447, 1175, 585, 596, 256, 901, 3762, 707, 10772, 1930, 547, 6432, 547, 824, 4992, 1472, 596, 780, 1262, 273, 269, 4208, 1131, 649, 1616, 547, 946, 873, 1247, 6177, 342, 10248, 286, 12533, 24801, 15365, 5331, 6972, 2059, 513, 4104, 13009, 593, 513, 13566, 1554, 267, 6947, 547, 930, 3579, 26107, 1107, 10393, 267, 596, 5873, 513, 1007, 23260, 4947, 689, 1164, 909, 538, 519, 4054, 256, 2334, 781, 1141, 6177, 342, 10248, 2501, 538, 269, 2060, 5642, 26634, 30069, 267, 596, 1810, 1405, 991, 547, 2490, 1055, 707, 2575, 4625, 282, 3079, 267, 2539, 922, 4320, 543, 3136, 9240, 8221, 9900, 607, 596, 2119, 547, 5544, 519, 13465, 6177, 269, 1411, 4465, 1405, 4413, 1022, 10475, 7643, 1317, 707, 10772, 2611, 20114, 267, 3850, 596, 547, 3713, 1256, 25861, 669, 597, 1186, 780, 2162, 476, 274, 269, 1215, 798, 789, 948, 721, 1921, 1732, 609, 938, 6068, 3283, 2496, 2691, 7836, 2298, 942, 13964, 609, 2828, 610, 1920, 2818, 267, 2519, 9003, 593, 1142, 824, 666, 3006, 1745, 11566, 269, 24942, 26634, 30069, 1683, 606, 5140, 14207, 1063, 2123, 9913, 543, 1895, 2238, 269, 1358, 5512, 3025, 547, 2972, 741, 6074, 13475, 1247, 4687, 12300, 8090, 1927, 269, 1280, 1383, 267, 4952, 2469, 593, 513, 1187, 30382, 609, 707, 1655, 3659, 282, 1631, 267, 4605, 7234, 782, 12204, 540, 4277, 1919, 596, 7237, 2059, 519, 2619, 6730, 795, 2459, 532, 547, 707, 1699, 5172, 5152, 269, 16319, 5863, 267, 3085, 1405, 621, 2496, 2971, 476, 275, 269, 5808, 3116, 1223, 4324, 689, 891, 2027, 30069, 2496, 10144, 609, 1978, 2010, 540, 6217, 2530, 1419, 6560, 547, 1174, 4633, 5693, 952, 4282, 6846, 568, 1932, 10978, 269, 4595, 5642, 26634, 30069, 4734, 707, 10772, 6534, 267, 789, 666, 5351, 2043, 6849, 971, 2591, 269, 1635, 10893, 19240, 543, 7586, 4328, 5551, 4992, 5594, 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 ]

[ 1219, 8769, 320, 7272, 3205, 1446, 4311, 2187, 1038, 8769, 320, 815, 535, 12163, 1038, 4515, 559, 334, 281, 2715, 22923, 324, 269, 2889, 16344, 334, 8679, 1038, 4856, 810, 1019, 18638, 281, 2715, 1345, 6983, 528, 810, 318, 13231, 1470, 8679, 1038, 8173, 1038, 2132, 2706, 14061, 2675, 1117, 320, 7272, 3205, 1446, 3890, 266, 2675, 1117, 320, 22562, 825, 1948, 3698, 514, 3554, 334, 19448, 1187, 345, 7748, 1750, 524, 328, 829, 5471, 974, 1019, 524, 3711, 328, 732, 24924, 4164, 564, 549, 1351, 810, 318, 13231, 1470, 1019, 6449, 8181, 1029, 454, 825, 1219, 524, 3711, 1470, 6831, 528, 810, 4311, 267, 14585, 810, 2187, 1038, 1582, 6983, 528, 810, 318, 13231, 1470, 815, 1351, 810, 692, 5035, 769, 572, 3913, 14397, 27456, 3205, 320, 2187, 825, 1527, 559, 334, 815, 834, 1103, 572, 3913, 14397, 4840, 825, 1219, 6449, 8181, 9191, 1345, 267, 562, 727, 267, 26256, 727, 267, 1696, 14504, 267, 4036, 27833, 267, 544, 831, 807, 22561, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 333, 727, 267, 26256, 727, 267, 1696, 14504, 267, 4036, 27833, 994, 1038, 952, 544, 831, 807, 2652, 7183, 912, 2018, 1582, 6230, 831, 807, 815, 11713, 1038, 3116, 912, 2018, 1582, 6230, 831, 807, 284, 544, 831, 807, 22562, 825, 1219, 8769, 320, 7272, 3205, 1446, 4311, 2187, 1038, 8769, 320, 815, 535, 12163, 1038, 4515, 559, 334, 281, 2715, 1103, 572, 3913, 14397, 269, 2889, 16344, 334, 8679, 1038, 631, 831, 773, 538, 572, 3913, 622, 281, 2715, 1345, 6230, 831, 807, 8679, 1038, 8173, 1038, 2132, 2706, 14061, 2675, 1117, 320, 7272, 3205, 1446, 3890, 266, 2675, 1117, 320, 1948, 538, 1391, 334, 8732, 334, 3288, 1187, 345, 269, 2706, 3890, 543, 337, 14504, 513, 3638, 3554, 732, 1775, 4164, 564, 686, 812, 322, 21468, 782, 320, 804, 21692, 14950, 516, 1341, 4164, 564, 686, 8769, 320, 521, 1638, 320, 804, 21692, 669, 3554, 14397, 22562, 825, 1948, 3698, 514, 8646, 19448, 1187, 345, 542, 320, 1750, 11465, 829, 5471, 974, 1019, 4903, 328, 25128, 516, 19448, 544, 831, 807, 620, 4164, 564, 549, 30458, 544, 831, 773, 1019, 6449, 8181, 1029, 454, 825, 1219, 4903, 1640, 7224, 8548, 831, 773, 4311, 19885, 340, 13960, 2187, 1038, 952, 8356, 13960, 711, 538, 1582, 6230, 831, 807, 912, 2018, 1582, 6230, 831, 807, 6910, 3799, 340, 13960, 2020, 13231, 25366, 318, 684, 334, 815, 9906, 324, 2891, 290, 2077, 2088, 2580, 834, 312, 836, 2580, 476, 2764, 267, 834, 5575, 22971, 14824, 25205, 13519, 6391, 5602, 20600, 3913, 14397, 318, 684, 334, 815, 769, 572, 3913, 14397, 2891, 300, 4275, 24229, 2580, 834, 289, 320, 13704, 2580, 476, 5325, 267, 834, 13553, 22971, 2580, 22373, 14197, 6391, 257, 7481, 258, 583, 559, 11170, 334, 3288, 1187, 345, 7748, 4903, 1640, 7224, 8548, 831, 773, 546, 7578, 804, 21692, 769, 572, 3913, 14397, 829, 4903, 328, 25128, 516, 796, 3693, 334, 782, 320, 30458, 454, 20600, 3913, 14397, 318, 684, 334, 269, 12000, 1640, 7224, 8548, 831, 773, 2891, 28770, 11765, 4055, 5602, 258, 560, 2086, 334, 3288, 8769, 320, 1268, 1446, 546, 749, 262, 690, 1326, 1729, 538, 572, 3913, 14397, 318, 684, 334, 17585, 334, 19011, 4903, 328, 2863, 334, 796, 8356, 26785, 3693, 334, 620, 4164, 564, 549, 544, 831, 773, 454, 2745, 263, 20600, 3913, 14397, 318, 684, 334, 31892, 1117, 320, 7272, 3205, 1446, 15405, 258, 5055, 1187, 345, 7748, 948, 524, 328, 513, 328, 25917, 740, 513, 3164, 796, 22712, 549, 1252, 1446, 546, 749, 262, 1229, 527, 926, 564, 14504, 3097, 28744, 263, 15276, 263, 22923, 324, 11723, 0, 258, 26705, 1154, 513, 5903, 692, 3698, 1106, 19056, 10031, 825, 1913, 815, 3403, 2891, 11767, 707, 2262, 610, 2046, 4283, 547, 1401, 527, 19515, 825, 1250, 318, 6919, 815, 11713, 825, 1247, 1913, 11203, 834, 13426, 1038, 1250, 318, 6919, 6910, 263, 6919, 994, 1038, 1913, 815, 3403, 2891, 11767, 707, 2262, 610, 2046, 4283, 547, 1401, 527, 19515, 825, 952, 7003, 30044, 318, 6919, 264, 2652, 476, 272, 912, 1038, 2132, 1193, 30044, 318, 6919, 314, 271, 7481, 825, 952, 7003, 30044, 318, 6919, 264, 2652, 476, 273, 912, 1038, 2132, 1193, 30044, 318, 6919, 314, 271, 27994, 257, 543, 834, 266, 1250, 318, 6919, 314, 272, 7481, 825, 1592, 318, 3240, 318, 6919, 815, 834, 4840, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 30044, 318, 6919, 9984, 273, 2187, 1038, 1592, 318, 3240, 318, 6919, 6834, 1193, 30044, 318, 6919, 5157, 27994, 2580, 19515, 825, 1592, 318, 3240, 318, 6919, 6834, 1193, 30044, 318, 6919, 15631, 273, 316, 1341, 834, 543, 834, 1341, 1250, 318, 6919, 15631, 272, 7481, 825, 2132, 1592, 318, 3240, 318, 6919, 692, 14030, 25639, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1250, 8217, 815, 1106, 19056, 4590, 825, 1820, 30044, 8217, 2020, 672, 0, 258, 570, 1389, 11378, 585, 5048, 543, 6521, 267, 538, 1388, 2478, 24290, 3097, 3698, 1292, 10031, 13537, 9497, 8702, 547, 19332, 29196, 14826, 5602, 13537, 9497, 13117, 4499, 2525, 7807, 333, 5602, 13537, 9497, 272, 269, 7402, 7973, 14826, 273, 269, 5463, 7973, 14826, 274, 269, 3367, 3758, 5602, 453, 641, 5406, 815, 703, 9272, 2891, 29682, 281, 834, 11723, 14851, 4781, 11203, 476, 274, 912, 453, 453, 332, 20687, 815, 3403, 19304, 2891, 8923, 4283, 513, 3948, 281, 27328, 453, 453, 3333, 3424, 815, 703, 9272, 2891, 11767, 6521, 1297, 281, 834, 11723, 14851, 4781, 2652, 476, 272, 912, 453, 453, 16780, 7973, 9852, 20687, 267, 6521, 994, 453, 19197, 4781, 2652, 476, 273, 912, 453, 453, 20657, 7973, 9852, 20687, 267, 6521, 994, 453, 19197, 4781, 2652, 476, 274, 912, 453, 453, 12803, 5649, 4590, 28432, 912, 453, 13537, 2891, 13286, 910, 769, 20777, 14893, 5602, 453, 453, 10852, 10797, 3698, 17278, 9852, 20687, 267, 6521, 2187, 453, 16780, 7973, 539, 815, 1412, 7055, 22610, 1775, 538, 2039, 12759, 9852, 20687, 15892, 453, 14851, 5048, 5157, 4940, 529, 10401, 10031, 4848, 14851, 5048, 5157, 4940, 529, 12294, 10031, 15235, 453, 11133, 815, 3921, 9852, 20687, 5157, 8079, 1341, 6521, 454, 15235, 14851, 1003, 3436, 3921, 3488, 345, 262, 2187, 20930, 453, 11133, 20699, 476, 2918, 454, 20930, 453, 16780, 7973, 539, 6834, 669, 337, 16325, 994, 15235, 453, 19197, 1003, 2999, 3921, 3488, 320, 262, 2187, 20930, 453, 11133, 6834, 476, 2918, 454, 20930, 453, 16780, 7973, 539, 6834, 669, 337, 16325, 994, 15235, 28432, 912, 20930, 453, 16780, 7973, 539, 6834, 669, 337, 16325, 994, 4848, 453, 19197, 5048, 5157, 4940, 529, 21639, 10031, 15235, 453, 11133, 815, 3921, 9852, 20687, 5157, 8079, 1341, 6521, 454, 15235, 14851, 1003, 3436, 3921, 3488, 313, 262, 2187, 20930, 453, 11133, 20699, 476, 2918, 454, 20930, 453, 16780, 7973, 539, 6834, 669, 337, 16325, 994, 15235, 453, 19197, 1003, 283, 3921, 3488, 288, 262, 2187, 20930, 453, 11133, 6834, 476, 2918, 454, 20930, 453, 16780, 7973, 539, 6834, 476, 2918, 454, 15235, 28432, 912, 20930, 453, 16780, 7973, 539, 6834, 669, 337, 16325, 994, 453, 453, 19197, 3921, 9852, 20687, 5157, 8079, 2652, 476, 3953, 912, 4848, 453, 16780, 7973, 539, 6834, 1412, 1412, 454, 453, 28432, 912, 4848, 453, 16780, 7973, 539, 6834, 5048, 5157, 2639, 13537, 263, 16780, 7973, 539, 994, 453, 12803, 31095, 263, 16780, 7973, 539, 2020, 3698, 3758, 31095, 263, 16780, 7973, 539, 2187, 453, 12803, 815, 1930, 3488, 332, 20687, 17902, 3299, 1412, 342, 5073, 453, 12803, 22182, 263, 16780, 7973, 539, 994, 453, 12803, 25379, 4590, 13537, 630, 325, 10454, 5048, 2715, 16780, 7973, 539, 9574, 814, 1044, 6707, 2854, 547, 2715, 12803, 20508, 348, 15419, 3698, 1232, 7973, 9852, 20687, 267, 6521, 2187, 453, 20657, 7973, 539, 815, 1412, 7055, 22610, 1775, 538, 2039, 12759, 9852, 20687, 15892, 453, 14851, 5048, 5157, 4940, 529, 10401, 10031, 4848, 14851, 5048, 5157, 4940, 529, 12294, 10031, 15235, 453, 11133, 815, 3921, 9852, 20687, 5157, 8079, 910, 6521, 454, 15235, 14851, 1003, 3436, 3921, 3488, 345, 262, 2187, 20930, 453, 11133, 20699, 476, 2918, 454, 20930, 453, 20657, 7973, 539, 6834, 669, 337, 16325, 994, 15235, 453, 19197, 1003, 2999, 3921, 3488, 320, 262, 2187, 20930, 453, 11133, 6834, 476, 2918, 454, 20930, 453, 20657, 7973, 539, 6834, 669, 337, 16325, 994, 15235, 28432, 912, 20930, 453, 20657, 7973, 539, 6834, 669, 337, 16325, 994, 4848, 453, 19197, 5048, 5157, 4940, 529, 21639, 10031, 15235, 453, 11133, 815, 3921, 9852, 20687, 5157, 8079, 910, 6521, 454, 15235, 14851, 1003, 3436, 3921, 3488, 313, 262, 2187, 20930, 453, 11133, 20699, 476, 2918, 454, 20930, 453, 20657, 7973, 539, 6834, 669, 337, 16325, 994, 15235, 453, 19197, 1003, 283, 3921, 3488, 288, 262, 2187, 20930, 453, 11133, 6834, 476, 2918, 454, 20930, 453, 20657, 7973, 539, 6834, 669, 337, 16325, 994, 15235, 28432, 912, 20930, 453, 20657, 7973, 539, 6834, 669, 337, 16325, 994, 453, 453, 19197, 3921, 9852, 20687, 5157, 8079, 2652, 476, 3953, 912, 4848, 453, 20657, 7973, 539, 6834, 1412, 1412, 454, 453, 28432, 912, 4848, 453, 20657, 7973, 539, 6834, 5048, 5157, 2639, 13537, 263, 20657, 7973, 539, 2020, 3698, 3758, 5649, 10031, 453, 332, 20687, 815, 1412, 7055, 453, 12803, 815, 1930, 2891, 332, 20687, 17902, 2580, 834, 337, 5602, 453, 332, 20687, 6834, 3758, 18667, 1467, 4590, 453, 3333, 3424, 815, 703, 9272, 2891, 11767, 6521, 281, 27328, 453, 12803, 25379, 4590, 453, 20657, 7973, 9852, 20687, 267, 6521, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 453, 10852, 3890, 0, 421, 355, 500, 10429, 486, 18021, 498, 13644, 354, 28997, 501, 24731, 11590, 490, 9463, 487, 21550, 495, 7511, 31006, 27962, 418, 371, 365, 18021, 355, 8147, 25203, 368, 26406, 354, 19540, 503, 22047, 31878, 16583, 30936, 13213, 498, 18713, 508, 30244, 14748, 31006, 27962, 418, 371, 365, 18021, 355, 8147, 10524, 492, 26033, 490, 18777, 350, 28997, 501, 24731, 14395, 377, 18021, 355, 25707, 31284, 30837, 351, 16533, 365, 15159, 28884, 421, 479, 491, 31308, 484, 11590, 490, 9463, 487, 21550, 495, 10524, 492, 26033, 490, 21928, 12255, 14756, 482, 18809, 20693, 510, 24662, 14756, 497, 30536, 29219, 25707, 16043, 495, 10524, 361, 10429, 486, 23521, 354, 419, 506, 489, 21588, 361, 13601, 27310, 8147, 13200, 365, 30678, 21550, 373, 14756, 497, 30536, 9463, 359, 20069, 22047, 8147, 19867, 478, 23284, 21588, 361, 13601, 27310, 9463, 359, 421, 506, 478, 28884, 418, 493, 496, 24662, 22047, 12255, 21211, 8147, 21251, 28997, 350, 30244, 13601, 27310, 14035, 504, 16533, 495, 14748, 12916, 491, 419, 377, 362, 8147, 16043, 495, 10524, 361, 421, 25693, 15159, 21928, 31006, 18809, 25426, 368, 7511, 12916, 491, 419, 377, 362, 418, 493, 496, 24662, 14756, 497, 30536, 29219, 25707, 31284, 30837, 351, 23521, 354, 419, 506, 489, 21588, 361, 11590, 490, 27310, 8147, 16043, 495, 10524, 361, 10524, 498, 14756, 484, 25335, 480, 21382, 509, 23746, 23284, 9463, 495, 27064, 364, 8147, 417, 28187, 31563, 16043, 495, 10524, 361, 16533, 484, 30244, 13601, 27310, 26166, 20992, 26266, 355, 9463, 367, 4970, 353, 421, 481, 357, 26166, 8147, 421, 480, 352, 18263, 486, 418, 493, 496, 24662, 7511, 12916, 491, 419, 377, 362, 13213, 502, 15159, 21928, 30006, 493, 13601, 421, 481, 357, 26166, 7511, 18809, 25426, 368, 12916, 491, 419, 377, 362, 8147, 454, 30244, 21550, 371, 16043, 495, 10524, 361, 9463, 359, 28884, 420, 25693, 419, 350, 362, 27936, 26166, 29873, 7511, 421, 481, 357, 26166, 7511, 26266, 355, 9463, 367, 20001, 373, 419, 499, 490, 12916, 491, 419, 377, 362, 8147, 16533, 365, 419, 509, 354, 421, 479, 497, 418, 493, 496, 24662, 14756, 497, 30536, 7511, 12916, 491, 419, 377, 362, 29072, 8147, 454, 19867, 478, 23284, 18021, 498, 13644, 354, 15159, 12916, 379, 17958, 26166, 418, 366, 375, 25622, 7511, 26233, 507, 420, 371, 363, 25707, 21928, 20881, 496, 25051, 496, 16583, 30936, 18809, 8147, 417, 28187, 31563, 25051, 497, 31176, 491, 27161, 21251, 11858, 502, 21928, 16043, 500, 26033, 483, 25051, 497, 31176, 491, 418, 371, 365, 18021, 355, 420, 370, 483, 13213, 485, 29072, 31006, 27962, 418, 371, 365, 18021, 355, 25203, 368, 26406, 354, 13213, 498, 18713, 508, 8147, 12571, 355, 10254, 503, 16533, 365, 14756, 503, 18809, 25426, 368, 12916, 491, 419, 377, 362, 420, 369, 489, 29219, 20992, 14756, 497, 30536, 29219, 8147, 454, 419, 482, 370, 12571, 492, 28098, 30678, 26266, 355, 31878, 14756, 497, 30536, 8147, 420, 490, 481, 18713, 368, 15159, 26266, 355, 20001, 373 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8978, 1433, 949, 723, 3875, 1462, 657, 543, 7508, 1257, 269, 623, 3420, 553, 619, 666, 2356, 4647, 513, 1863, 1085, 10165, 5299, 540, 519, 3312, 1433, 630, 23719, 1462, 657, 264, 689, 519, 17404, 269, 3502, 4994, 539, 269, 3502, 11609, 269, 476, 4489, 276, 7160, 269, 1401, 1356, 696, 281, 3267, 263, 14179, 269, 1775, 269, 1535, 343, 643, 1040, 3371, 729, 513, 4605, 547, 12954, 519, 4987, 267, 519, 9345, 543, 519, 20440, 540, 513, 1762, 11464, 269, 634, 840, 32383, 540, 25816, 322, 564, 543, 519, 3140, 1806, 799, 646, 3947, 540, 741, 3498, 13822, 1927, 513, 2407, 22612, 883, 519, 1148, 540, 2112, 607, 621, 729, 1634, 547, 519, 1655, 8186, 540, 519, 22733, 2540, 269, 1358, 949, 581, 9833, 607, 922, 8106, 1163, 3789, 269, 1323, 11464, 28093, 4240, 609, 713, 1560, 540, 14985, 1131, 723, 519, 1655, 7214, 28459, 585, 519, 2932, 540, 513, 2112, 543, 585, 519, 4287, 540, 606, 7952, 609, 799, 519, 22733, 2540, 1223, 3761, 1864, 269, 634, 1995, 540, 645, 5766, 12340, 4951, 602, 519, 7214, 28730, 540, 519, 2489, 1131, 711, 3411, 823, 585, 1967, 269, 898, 2838, 547, 581, 29979, 676, 513, 5676, 1441, 7952, 543, 676, 513, 5462, 6554, 269, 4935, 676, 519, 568, 339, 4864, 267, 476, 9692, 272, 267, 950, 519, 28365, 5717, 538, 519, 3943, 7952, 1185, 16358, 1242, 883, 17386, 6042, 585, 519, 16590, 543, 6044, 540, 519, 26462, 267, 782, 519, 2175, 11478, 585, 519, 7214, 2866, 540, 519, 1007, 2489, 585, 269, 7247, 2871, 756, 1068, 329, 13195, 3168, 269, 1703, 729, 513, 8106, 3069, 540, 2112, 267, 972, 729, 513, 1007, 6891, 29596, 20678, 547, 6318, 1252, 1023, 1222, 547, 513, 2362, 1379, 269, 570, 297, 773, 318, 8882, 656, 787, 318, 297, 328, 611, 4362, 519, 3029, 540, 4720, 1655, 14018, 585, 329, 1492, 14049, 609, 799, 621, 729, 11439, 267, 585, 8112, 543, 10688, 540, 812, 4141, 12320, 516, 269, 634, 29816, 10492, 1185, 6603, 513, 3020, 543, 2312, 17748, 540, 519, 5692, 540, 741, 6186, 269, 634, 25044, 267, 2059, 5976, 922, 1007, 326, 12584, 267, 1185, 9715, 513, 1007, 2070, 540, 922, 7060, 269, 3371, 941, 4712, 782, 519, 2326, 799, 513, 4195, 543, 24526, 2247, 267, 6273, 676, 519, 786, 547, 4487, 873, 267, 1223, 711, 855, 9192, 883, 513, 1007, 1062, 269, 1809, 1354, 602, 1223, 4755, 972, 1590, 581, 267, 607, 2871, 756, 1068, 1185, 2062, 16308, 267, 513, 1007, 6554, 543, 513, 1007, 7952, 269, 634, 5169, 540, 519, 1007, 6554, 621, 568, 2483, 324, 9349, 634, 3943, 8136, 6969, 19167, 282, 700, 624, 999, 5548, 9121, 6969, 519, 2160, 540, 10228, 538, 7812, 5733, 12910, 267, 476, 4489, 275, 0, 16729, 616, 1603, 5439, 602, 723, 1044, 23064, 547, 9414, 519, 7355, 2838, 547, 2743, 519, 4441, 585, 2488, 1806, 4143, 547, 519, 1888, 269, 634, 1557, 568, 519, 1034, 1271, 851, 540, 513, 2852, 813, 961, 1709, 267, 1294, 3732, 3594, 3501, 585, 713, 3296, 3568, 1079, 1806, 540, 1434, 2852, 3594, 269, 634, 1739, 1603, 10070, 616, 689, 14248, 338, 538, 9344, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 543, 1164, 2404, 609, 267, 585, 1383, 267, 7713, 513, 3621, 610, 6310, 1184, 11783, 12989, 649, 2709, 1079, 1806, 540, 15826, 14436, 3594, 602, 3927, 543, 524, 328, 781, 2875, 1603, 1357, 3135, 814, 875, 3562, 7044, 267, 1603, 5439, 585, 1114, 563, 763, 5207, 610, 9803, 1383, 540, 1142, 6060, 1448, 538, 1142, 6389, 585, 811, 1344, 593, 519, 1603, 10274, 2139, 547, 1053, 543, 519, 6299, 7879, 1031, 547, 6060, 269, 6201, 540, 2500, 1509, 657, 616, 1336, 538, 519, 2985, 585, 707, 2689, 782, 519, 1863, 1603, 5439, 3254, 666, 581, 22434, 3842, 519, 4647, 3095, 7735, 2630, 269, 1323, 2254, 730, 2875, 1603, 5439, 20515, 519, 5610, 540, 1543, 2039, 540, 1603, 2488, 2789, 1806, 540, 2875, 1603, 1369, 513, 3446, 2066, 513, 269, 7490, 4063, 281, 5439, 2992, 3105, 1032, 781, 4808, 543, 616, 538, 1100, 1880, 1931, 2638, 1699, 4808, 970, 18556, 10389, 1603, 5439, 3732, 476, 272, 563, 1607, 4015, 540, 3446, 7400, 1603, 5439, 2488, 3610, 540, 7005, 1893, 6267, 609, 1806, 540, 2875, 1603, 693, 1142, 15334, 1377, 269, 634, 23487, 539, 1603, 3732, 1923, 6530, 2221, 8940, 17595, 1108, 339, 3736, 1260, 270, 639, 270, 24108, 270, 3249, 518, 20675, 1431, 270, 1220, 3445, 277, 270, 1492, 1673, 1348, 539, 2914, 3876, 1606, 2217, 269, 12989, 616, 930, 6402, 547, 1603, 5439, 10356, 689, 1053, 693, 513, 3099, 540, 946, 1808, 1806, 630, 8117, 5225, 1100, 4408, 264, 543, 2312, 563, 2304, 1557, 568, 513, 11295, 4062, 540, 1603, 10704, 593, 513, 1888, 621, 666, 581, 2239, 267, 10388, 267, 610, 12819, 5103, 922, 8560, 267, 1557, 1603, 568, 711, 269, 27842, 540, 27564, 1603, 575, 2801, 559, 613, 19073, 560, 568, 14102, 676, 519, 4116, 2069, 3296, 630, 5052, 264, 540, 519, 8257, 540, 2069, 543, 1983, 630, 9188, 264, 519, 3028, 568, 269, 18391, 585, 513, 1788, 11556, 1383, 610, 513, 10959, 18747, 666, 581, 4835, 630, 5976, 514, 707, 3919, 264, 610, 5007, 630, 25740, 689, 835, 4830, 563, 22879, 5439, 602, 723, 1100, 2124, 341, 3599, 547, 707, 2872, 270, 1410, 13630, 1047, 585, 1383, 267, 513, 3860, 610, 2239, 1603, 3732, 1131, 711, 581, 3617, 950, 7311, 547, 269, 769, 3685, 281, 4358, 519, 1603, 1184, 840, 8586, 630, 514, 3685, 264, 23064, 12190, 13132, 23064, 15853, 1383, 23064, 15853, 5439, 269, 27842, 20515, 1018, 2500, 2239, 1603, 1522, 1413, 899, 693, 1142, 3446, 1377, 891, 4773, 1683, 1806, 540, 2875, 1603, 585, 968, 320, 2039, 540, 563, 16240, 5439, 2436, 596, 616, 7311, 585, 513, 2816, 267, 22631, 1222, 267, 610, 547, 10927, 3506, 267, 596, 949, 581, 4280, 547, 1683, 513, 1603, 3732, 1603, 5439, 1450, 606, 1547, 12726, 15885, 2854, 547, 2185, 11095, 1603, 2157, 585, 1142, 1257, 1826, 2285, 1053, 2312, 1806, 540, 519, 2934, 543, 3889, 540, 1142, 1257, 1826, 269, 3367, 938, 1863, 3732, 476, 1408, 1206, 3594, 547, 1294, 1018, 568, 4397, 689, 596, 538, 519, 6422, 2511, 267, 3079, 540, 3668, 540, 2511, 1806, 267, 3877, 543, 5912, 1913, 11783, 1879, 596, 991, 606, 1383, 2854, 676, 513, 2875, 267, 2638, 856, 938, 5318, 4015, 540, 1863, 2875, 3631, 20801, 998, 519, 1592, 267, 610, 3406, 585, 513, 7154, 540, 1603, 971, 563, 31955, 1603, 5439, 713, 2985, 786, 4183, 513, 3126, 540, 4574, 11643, 538, 897, 2421, 2852, 6030, 519, 4574, 949, 711, 581, 7357, 1863, 540, 6959, 267, 855, 2949, 267, 1547, 12989, 596, 786, 1265, 3732, 14391, 725, 689, 23064, 12190, 13132, 267, 1142, 609, 513, 1483, 8996, 1383, 1603, 12987, 1374, 8584, 3491, 12378, 1603, 12987, 269, 6651, 547, 5912, 1913, 543, 4845, 5439, 1184, 543, 1826, 540, 1603, 3391, 547, 5912, 1913, 543, 4845, 5439, 585, 1383, 267, 519, 1153, 814, 513, 9251, 1982, 1141, 1312, 18555, 543, 6217, 1453, 1451, 1927, 269, 634, 1079, 2630, 1603, 5439, 616, 1806, 540, 3811, 28671, 4267, 5225, 946, 519, 2630, 607, 513, 3391, 547, 519, 1826, 540, 1806, 649, 1131, 899, 269, 0, 296, 1224, 519, 2376, 3370, 538, 11660, 1977, 267, 543, 1034, 540, 519, 1867, 4330, 538, 519, 2376, 269, 634, 1867, 568, 13886, 267, 968, 306, 852, 267, 4826, 267, 10979, 267, 543, 18983, 2378, 15543, 538, 519, 11848, 1848, 2005, 568, 606, 4879, 16432, 1169, 1906, 1296, 676, 519, 11848, 16424, 543, 10495, 19510, 267, 519, 3621, 1560, 602, 5359, 547, 519, 6608, 602, 1118, 909, 519, 11848, 7027, 267, 513, 8468, 585, 2152, 7133, 519, 3148, 269, 634, 2063, 4879, 3357, 856, 538, 476, 1001, 272, 269, 3371, 779, 519, 3095, 547, 519, 1867, 952, 596, 1616, 547, 1224, 621, 563, 7069, 6161, 568, 6654, 281, 519, 16079, 12068, 269, 8409, 540, 721, 945, 616, 14126, 827, 2916, 1689, 267, 1519, 3744, 543, 930, 14761, 267, 786, 581, 7255, 269, 8409, 945, 666, 1491, 3609, 3527, 547, 2232, 519, 3123, 540, 713, 1966, 267, 3226, 538, 519, 2475, 267, 786, 3136, 24937, 267, 9319, 610, 27102, 519, 1966, 269, 1656, 715, 3266, 786, 1832, 593, 535, 1342, 1782, 543, 519, 17169, 814, 1100, 9660, 269, 9406, 888, 763, 11848, 568, 8337, 811, 982, 7466, 607, 3728, 607, 519, 1964, 540, 519, 4541, 267, 5267, 513, 5458, 4879, 540, 519, 3148, 269, 634, 8337, 568, 26558, 2287, 519, 13621, 540, 11848, 4672, 543, 20993, 4262, 7400, 4473, 563, 763, 1867, 267, 16432, 676, 811, 982, 476, 3445, 3744, 267, 6054, 519, 16221, 2242, 2907, 896, 1259, 2066, 519, 11848, 1317, 540, 2916, 1689, 31539, 19394, 4262, 4672, 543, 13621, 22260, 547, 13346, 8134, 543, 4365, 3270, 269, 3245, 476, 1001, 272, 547, 476, 1001, 276, 267, 519, 4879, 9060, 267, 519, 11848, 729, 15911, 982, 693, 1022, 942, 2094, 5638, 3459, 1472, 476, 5002, 271, 630, 5408, 11313, 6635, 8157, 8337, 685, 1916, 5353, 320, 4672, 5170, 547, 7771, 267, 543, 519, 6708, 540, 6777, 3382, 2066, 519, 11848, 4525, 540, 3345, 3013, 543, 20195, 14901, 1142, 4873, 814, 10300, 1386, 607, 3379, 547, 7422, 1354, 476, 1220, 271, 563, 10527, 1491, 25571, 5048, 568, 602, 519, 11848, 568, 19586, 1782, 2223, 3081, 681, 12522, 623, 9593, 766, 267, 945, 23107, 513, 3060, 540, 5726, 2516, 1572, 11848, 476, 2641, 543, 729, 513, 1244, 14280, 13930, 23122, 540, 1533, 585, 1604, 543, 1646, 896, 2475, 5518, 9291, 22735, 269, 968, 763, 12556, 540, 519, 11848, 814, 547, 581, 6410, 856, 540, 519, 1158, 540, 3621, 8343, 543, 883, 519, 1158, 540, 2229, 3609, 3034, 763, 1867, 4679, 20327, 585, 2518, 4262, 7400, 4473, 267, 799, 3217, 883, 2272, 782, 2959, 540, 13621, 1519, 519, 11848, 269, 4256, 1007, 5934, 9193, 616, 1631, 3592, 5595, 1346, 9783, 676, 519, 3955, 32744, 19937, 593, 8693, 7827, 630, 7709, 6717, 264, 538, 476, 1001, 274, 585, 930, 5434, 7653, 269, 769, 1249, 267, 519, 5767, 9273, 2303, 602, 519, 7379, 6717, 779, 1647, 9193, 585, 4262, 7400, 4473, 1058, 1631, 581, 2808, 5934, 9193, 563, 1103, 835, 9183, 267, 799, 17648, 602, 3327, 5434, 4473, 5594, 1657, 519, 3853, 1305, 676, 519, 476, 1001, 276, 8303, 2916, 6876, 28559, 1869, 1294, 513, 9645, 5786, 1765, 22855, 2157, 1131, 2333, 676, 693, 2547, 476, 271, 269, 7367, 15432, 676, 476, 13975, 271, 267, 3379, 609, 476, 1220, 277, 267, 519, 11848, 1867, 3081, 269, 7201, 513, 1870, 23829, 268, 639, 783, 9183, 267, 519, 5934, 2333, 1131, 581, 476, 271, 269, 10619, 15432, 563, 10527, 8789, 2528, 7109, 919, 26220, 4831, 2275, 30743, 607, 811, 610, 1447, 21030, 6681, 24017, 267, 855, 621, 3112, 3398, 2565, 19183, 799, 1289, 621, 1496, 1492, 8789, 2528, 316, 883, 2243, 269, 22388, 2275, 11857, 2501, 827, 950, 1346, 945, 2981, 519, 2528, 538, 799, 789, 2661, 1831, 9691, 6857, 540, 1018, 789, 616, 3257, 543, 14969, 513, 3069, 540, 741, 11539, 689, 519, 8789, 2203, 267, 5356, 513, 2203, 602, 568, 5827, 540, 24569, 3294, 3034, 10472, 568, 513, 4514, 4307, 517, 655, 517, 1572, 519, 968, 30198, 1532, 17879, 892, 6240, 543, 568, 10416, 281, 1411, 616, 7923, 547, 1018, 596, 4323, 269, 769, 4081, 1612, 28917, 267, 519, 2856, 568, 602, 519, 4867, 12081, 532, 7060, 5581, 519, 2230, 543, 519, 2474, 540, 6278, 269, 5637, 519, 4214, 540, 968, 322, 11857, 892, 543, 968, 322, 3300, 2275, 11857, 892, 616, 851, 540, 513, 968, 515, 28282, 545, 11407, 892, 630, 12901, 517, 1470, 717, 2449, 857, 1916, 23530, 335, 6064, 568, 513, 3350, 538, 23019, 5708, 267, 1148, 267, 6752, 543, 17933, 602, 11394, 547, 2626, 543, 18220, 519, 2243, 968, 6343, 1281, 513, 4264, 10340, 1413, 899, 267, 543, 875, 666, 649, 1205, 972, 9495, 634, 15312, 540, 3859, 335, 6064, 19467, 519, 4052, 609, 519, 4190, 267, 519, 1134, 27059, 609, 519, 3039, 543, 3552, 267, 519, 6505, 543, 10477, 609, 519, 3618, 344, 543, 4396, 269, 9891, 335, 6064, 666, 581, 2588, 26508, 267, 1175, 23904, 267, 610, 7255, 609, 519, 9620, 679, 8905, 547, 513, 1732, 1158, 2443, 855, 2760, 29711, 1014, 269, 1306, 938, 1158, 887, 2812, 609, 1608, 600, 640, 267, 649, 991, 3435, 267, 711, 21855, 269, 10298, 547, 2661, 20354, 1510, 8093, 10173, 267, 547, 1226, 19935, 4383, 20317, 543, 2671, 11606, 267, 547 ]

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

[ 0, 5629, 2390, 513, 942, 267, 972, 729, 513, 2370, 6079, 3957, 6341, 269, 6341, 4941, 547, 917, 811, 827, 519, 1158, 1472, 1864, 543, 875, 3388, 5249, 269, 2290, 1554, 267, 646, 4280, 1010, 3659, 267, 6004, 269, 18718, 10326, 267, 834, 16031, 269, 18718, 10326, 267, 875, 798, 649, 917, 952, 972, 568, 2731, 513, 2696, 945, 2813, 721, 12482, 16031, 269, 18718, 10326, 14452, 267, 834, 6546, 781, 513, 1390, 2243, 267, 6341, 256, 2368, 1004, 1451, 827, 2696, 676, 4974, 3571, 5137, 269, 1358, 1413, 693, 519, 4190, 5810, 267, 519, 7381, 4054, 267, 543, 519, 2831, 1472, 873, 543, 8275, 602, 2576, 1590, 723, 1500, 873, 3010, 21579, 2219, 827, 713, 585, 513, 4090, 543, 1287, 4280, 267, 834, 3719, 1946, 798, 930, 1004, 3494, 538, 4720, 3079, 540, 2696, 12482, 257, 11039, 2437, 1767, 6004, 269, 18718, 10326, 267, 834, 16341, 1004, 1589, 602, 3388, 1175, 5949, 676, 4960, 936, 513, 1279, 942, 269, 1809, 1082, 1866, 3494, 602, 513, 3532, 1373, 267, 1572, 2696, 267, 1500, 3388, 2687, 547, 513, 1544, 3010, 21579, 21330, 1010, 2212, 543, 1287, 4280, 267, 834, 1432, 827, 519, 590, 30117, 286, 4208, 798, 930, 1004, 1832, 835, 1554, 2027, 1247, 1866, 1810, 1405, 12482, 16031, 269, 18718, 10326, 6045, 267, 834, 10144, 945, 1246, 519, 6426, 3494, 602, 519, 18749, 1554, 540, 519, 3018, 568, 513, 2027, 1554, 1317, 602, 781, 950, 2696, 1964, 539, 1310, 2870, 519, 1158, 269, 898, 781, 513, 1554, 547, 3314, 13924, 543, 6108, 942, 609, 1920, 543, 2828, 3010, 21579, 9289, 267, 834, 1692, 666, 594, 917, 799, 835, 568, 3020, 12482, 257, 2791, 666, 2307, 2696, 3054, 267, 6341, 2437, 6700, 6004, 269, 18718, 10326, 269, 834, 9617, 2911, 547, 13924, 899, 596, 2811, 6158, 547, 803, 1631, 269, 9105, 13924, 547, 1397, 596, 1018, 781, 3020, 543, 6432, 5402, 585, 3571, 2626, 3010, 3383, 267, 6341, 1705, 1175, 602, 269, 1261, 7281, 539, 547, 2696, 1169, 1554, 543, 4166, 5433, 513, 3636, 4743, 3330, 1864, 269, 1261, 6785, 602, 2696, 4862, 1864, 543, 6068, 1864, 269, 3245, 602, 1554, 4464, 267, 6341, 4956, 547, 8956, 519, 590, 30117, 543, 6170, 602, 1554, 1565, 1007, 1919, 827, 2696, 543, 2348, 1187, 609, 1010, 2828, 780, 3080, 1554, 267, 6341, 4718, 513, 6263, 21956, 541, 10010, 547, 18214, 909, 513, 6978, 269, 1261, 4280, 267, 834, 3963, 568, 602, 21956, 541, 4466, 621, 2182, 547, 1847, 12482, 288, 8797, 2025, 22559, 7404, 12943, 267, 834, 15919, 267, 1762, 3283, 991, 948, 547, 1332, 6793, 269, 3807, 899, 875, 3425, 979, 547, 1153, 547, 1451, 1007, 1919, 267, 865, 1932, 798, 2831, 1451, 689, 741, 2833, 3010, 21579, 14478, 607, 519, 21956, 541, 6368, 6603, 519, 1283, 540, 519, 6978, 269, 1261, 14952, 539, 693, 922, 4222, 543, 6043, 269, 17652, 267, 519, 21956, 541, 9927, 883, 513, 4190, 18173, 267, 10825, 7772, 543, 2681, 2429, 519, 4104, 780, 5804, 602, 1554, 27477, 267, 6341, 7691, 602, 1256, 519, 10545, 7068, 1185, 1271, 5107, 547, 1404, 538, 519, 1158, 269, 1635, 11287, 2470, 543, 6998, 2055, 267, 6341, 4121, 3407, 4245, 827, 1272, 543, 5132, 269, 1261, 6956, 602, 2696, 25374, 585, 3025, 267, 1100, 2339, 875, 2462, 610, 1507, 789, 941, 780, 4517, 8164, 4896, 4280, 6341, 827, 1010, 4978, 267, 646, 1131, 2671, 519, 8748, 2984, 646, 4121, 689, 6004, 269, 18718, 10326, 543, 1010, 824, 3662, 2828, 269, 3414, 6341, 781, 2186, 1913, 543, 15962, 2295, 267, 1082, 3357, 547, 1174, 543, 5660, 519, 5898, 540, 18468, 538, 2696, 543, 26621, 3571, 13144, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 21609, 681, 8960, 2060, 17496, 454, 1103, 476, 4572, 277, 267, 2696, 3459, 2324, 609, 29464, 654, 269, 28226, 998, 513, 4161, 689, 1010, 7385, 593, 590, 30117, 268, 15209, 269, 589, 2034, 4161, 593, 519, 3069, 540, 4720, 8957, 2696, 779, 6228, 3533, 4553, 269, 1452, 2055, 3366, 1864, 547, 606, 538, 3829, 1353, 547, 6961, 2436, 519, 6426, 568, 519, 6478, 540, 2696, 267, 607, 621, 6811, 267, 610, 952, 812, 568, 8806, 519, 1267, 540, 4720, 269, 1656, 952, 2696, 1281, 2291, 267, 568, 3571, 4971, 585, 590, 30117, 268, 15209, 1945, 782, 10271, 1058, 23491, 286, 6004, 269, 28226, 779, 8990, 547, 6961, 519, 4267, 538, 891, 6927, 3366, 547, 1010, 7503, 547, 519, 5168, 543, 267, 5555, 267, 547, 513, 5001, 960, 8757, 6634, 256, 2696, 5795, 6004, 269, 28226, 519, 10243, 547, 3914, 782, 6082, 609, 519, 22258, 630, 31861, 476, 2190, 281, 1691, 1040, 1261, 24009, 519, 16322, 2886, 540, 606, 1439, 6066, 1826, 540, 519, 18379, 26400, 267, 945, 1131, 11177, 782, 1919, 547, 519, 5783, 630, 31861, 476, 1704, 281, 1015, 268, 1556, 264, 543, 11177, 1920, 3347, 281, 968, 6826, 3835, 267, 594, 786, 6494, 596, 18379, 26400, 519, 22445, 1354, 519, 4947, 540, 519, 1390, 543, 23487, 995, 1554, 540, 519, 7083, 281, 1656, 646, 4927, 2490, 18222, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16241, 1315, 4168, 1315, 3163, 1299, 7186, 1315, 12292, 538, 519, 6426, 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, 8080, 547, 938, 3460, 998, 942, 543, 1686, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 606, 6909, 1747, 1572, 834, 290, 770, 548, 10830, 2437, 4092, 538, 519, 4190, 2749, 540, 14863, 777, 652, 267, 21640, 269, 901, 14629, 814, 1044, 1472, 585, 7366, 540, 1296, 543, 6585, 1082, 11580, 267, 2984, 267, 543, 4241, 24738, 596, 9327, 1405, 1616, 547, 4413, 269, 1924, 10544, 707, 5691, 30618, 267, 1577, 781, 4685, 1318, 883, 713, 7045, 2439, 5575, 1055, 267, 4952, 7555, 593, 513, 17254, 4842, 4224, 1500, 540, 14680, 910, 827, 607, 7381, 607, 513, 2413, 1236, 903, 28755, 704, 256, 2334, 781, 1018, 16836, 10830, 568, 899, 282, 621, 14380, 476, 10204, 7397, 1164, 6772, 8504, 519, 22800, 8355, 4209, 5211, 269, 898, 7959, 3592, 899, 1373, 593, 1283, 540, 519, 1158, 256, 3767, 4605, 23090, 10092, 3056, 596, 1063, 23406, 6149, 5656, 267, 7168, 1330, 1399, 1841, 267, 543, 5728, 15174, 7996, 547, 581, 4362, 1107, 4992, 9589, 267, 3085, 1405, 621, 286, 4270, 267, 602, 781, 4010, 875, 1272, 4652, 9529, 29691, 16836, 10830, 780, 3080, 540, 519, 3579, 652, 1919, 827, 713, 1858, 568, 922, 3638, 3140, 13795, 269, 1411, 666, 1265, 882, 923, 6580, 1394, 5553, 950, 12703, 29843, 887, 3139, 891, 3338, 543, 3532, 15438, 12199, 741, 25267, 269, 2290, 971, 7415, 2497, 568, 519, 7372, 14863, 320, 16836, 267, 799, 729, 9112, 896, 9753, 689, 3751, 645, 2946, 5055, 10001, 1310, 1010, 10424, 19289, 3893, 10032, 1282, 13137, 269, 5994, 6972, 3330, 6821, 865, 2025, 2943, 1869, 19756, 2614, 547, 2149, 1346, 1369, 873, 269, 1215, 5863, 1131, 602, 1745, 2496, 3086, 4952, 2348, 513, 4960, 547, 1294, 18198, 5784, 540, 519, 3003, 2749, 2630, 596, 269, 2311, 519, 7754, 528, 4821, 6833, 15869, 540, 14863, 320, 16836, 267, 596, 1205, 1175, 602, 4316, 256, 5776, 972, 1659, 652, 30638, 607, 5195, 2390, 5195, 12701, 856, 1354, 596, 267, 4904, 609, 7524, 4778, 267, 14297, 1004, 267, 543, 11599, 21056, 269, 1548, 606, 20605, 1995, 602, 1131, 581, 2439, 3719, 7227, 267, 972, 781, 811, 256, 3807, 3564, 16836, 10830, 6013, 1776, 9159, 4183, 1572, 717, 749, 2946, 4135, 10830, 269, 19612, 2484, 543, 2647, 585, 922, 24232, 16782, 267, 713, 5544, 19646, 3875, 3636, 1216, 20115, 1572, 1412, 31516, 31725, 9538, 2052, 596, 1589, 1946, 789, 1289, 873, 1412, 14653, 20950, 286, 262, 962, 788, 267, 1317, 1216, 11164, 17331, 909, 689, 9944, 3047, 781, 2627, 6770, 14246, 2059, 609, 621, 269, 14348, 333, 1405, 621, 581, 1187, 1019, 6137, 707, 19462, 883, 835, 540, 1346, 2848, 5446, 2067, 20115, 14693, 2496, 4517, 952, 782, 713, 7012, 1405, 2614, 267, 18932, 3039, 7733, 24120, 717, 749, 2946, 4135, 10830, 1932, 269, 1452, 30832, 1782, 18137, 1683, 12094, 267, 22471, 1006, 267, 543, 11995, 3408, 3255, 269, 5808, 6487, 1018, 13655, 9114, 512, 26786, 2476, 1851, 1346, 4054, 286, 9320, 1256, 930, 26704, 7068, 13718, 3383, 1934, 649, 616, 267, 3695, 26441, 1141, 2250, 543, 1459, 18595, 710, 16900, 267, 1565, 827, 3504, 28151, 267, 12357, 15113, 267, 543, 2067, 13300, 269, 594, 4126, 596, 10150, 938, 4663, 540, 16836, 10830, 543, 7404, 2127, 269, 5457, 267, 1686, 3884, 1405, 8806, 7389, 543, 4408, 855, 849, 13858, 9035, 7996, 547, 581, 11552, 691, 1117, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 770, 548, 10830, 14863, 777, 652, 1923, 476, 1704, 15020, 7454, 12085, 547, 798, 538, 14863, 320, 779, 6196, 16011, 10588, 454, 290, 770, 548, 10830, 14863, 777, 652, 1923, 476, 1704, 15020, 7454, 12085, 547, 798, 538, 14863, 320, 779, 6196, 16011, 10588, 454, 763, 22539, 16836, 10830, 538, 14863, 777, 652, 18795, 593, 513, 1804, 14680, 29415, 267, 476, 10204, 15432, 1657, 519, 7178, 8492, 540, 519, 8355, 4209, 5211, 267, 609, 5195, 543, 5195, 540, 11895, 25310, 269, 10705, 5219, 547, 607, 14863, 320, 779, 6196, 16011, 10588, 267, 16836, 10830, 14863, 777, 652, 568, 1753, 547, 513, 5763, 540, 8978, 20375, 267, 10120, 21219, 543, 10875, 11265, 2934, 602, 1283, 1034, 8436, 685, 1592, 547, 14863, 777, 652, 269, 654, 4193, 25865, 4565, 16893, 1291, 547, 844, 5593, 10754, 267, 3046, 20529, 8075, 267, 543, 6456, 10246, 903, 269, 13966, 2515, 16836, 10830, 267, 513, 2370, 547, 519, 7178, 568, 717, 749, 1068, 10830, 267, 28020, 1634, 585, 922, 8143, 31725, 543, 3905, 20950, 607, 1134, 607, 513, 1804, 522, 12118, 540, 3039, 2044, 563, 290, 770, 548, 10830, 14863, 777, 652, 454, 763, 1034, 8903, 2679, 602, 2531, 7149, 16836, 10830, 14863, 777, 652, 568, 519, 897, 1601, 531, 14863, 320, 16836, 267, 3710, 593, 519, 3312, 3135, 540, 519, 476, 1724, 628, 2540, 9576, 20066, 676, 3751, 645, 2946, 5055, 10001, 269, 634, 31858, 4821, 1768, 15869, 540, 519, 14863, 320, 16836, 3091, 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, 1556, 281, 19737, 13262, 910, 898, 781, 28514, 547, 6875, 513, 16505, 2439, 16908, 666, 1205, 7168, 646, 8157, 3006, 269, 1411, 1522, 723, 513, 2462, 1449, 4947, 909, 267, 513, 1788, 1813, 4166, 267, 610, 6148, 596, 1175, 1185, 606, 4661, 609, 513, 3659, 269, 2353, 891, 1919, 666, 2014, 2566, 267, 1818, 621, 2182, 585, 596, 547, 1445, 610, 1745, 6126, 269, 5213, 1405, 5855, 282, 3025, 2833, 2566, 693, 930, 1448, 538, 741, 2729, 256, 1809, 798, 596, 917, 1018, 781, 1256, 1732, 286, 1703, 616, 1082, 2081, 547, 4383, 2566, 865, 602, 621, 3085, 1405, 1491, 936, 707, 1272, 269, 2913, 781, 1451, 875, 547, 2697, 21500, 267, 1174, 1946, 938, 4703, 2746, 713, 1259, 267, 543, 2263, 1585, 2553, 547, 948, 721, 6001, 543, 22507, 780, 4089, 476, 272, 281, 1548, 1772, 13262, 543, 4208, 6496, 898, 19732, 523, 2496, 5331, 3843, 547, 12740, 1945, 2706, 5230, 267, 899, 513, 9649, 536, 30629, 269, 2659, 1560, 1131, 960, 2731, 2182, 547, 1847, 621, 267, 1318, 286, 2334, 4674, 2322, 883, 17666, 519, 536, 30629, 568, 2147, 547, 1018, 4523, 3330, 707, 1560, 950, 596, 1995, 2566, 269, 1879, 649, 7237, 4101, 3871, 630, 3697, 6780, 267, 5026, 2119, 8083, 267, 610, 1514, 2152, 1070, 938, 12058, 6494, 6835, 2429, 938, 4703, 547, 5965, 873, 585, 2962, 269, 901, 1184, 2337, 721, 11883, 609, 7965 ]

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

[ 1708, 271, 454, 3963, 7917, 29778, 5206, 634, 10003, 3502, 570, 2586, 888, 18439, 811, 593, 621, 269, 6684, 267, 1018, 568, 519, 2495, 3297, 519, 4155, 711, 3144, 888, 10454, 10003, 3502, 570, 2586, 257, 568, 606, 24813, 6648, 602, 2636, 519, 5467, 547, 1589, 827, 5079, 538, 1272, 267, 2436, 547, 979, 609, 519, 13416, 610, 979, 621, 4805, 269, 1403, 1272, 568, 513, 3460, 267, 713, 6648, 8711, 1346, 2053, 538, 1272, 950, 513, 3375, 814, 547, 581, 1500, 563, 12234, 267, 1946, 568, 519, 4155, 711, 3144, 1271, 286, 901, 6648, 6645, 513, 2603, 827, 1272, 538, 2489, 269, 5020, 568, 782, 827, 1818, 5079, 267, 31347, 621, 781, 827, 7446, 547, 1689, 707, 3232, 2732, 610, 7446, 519, 1318, 7649, 269, 5272, 3903, 814, 922, 4644, 538, 930, 1259, 610, 519, 824, 563, 3080, 949, 849, 2307, 267, 1946, 1705, 7917, 29778, 2328, 519, 6648, 634, 10003, 3502, 570, 2586, 888, 27144, 29778, 281, 968, 763, 10003, 3502, 570, 2586, 892, 7917, 29778, 5206, 968, 763, 10003, 3502, 570, 2586, 892, 607, 513, 24983, 585, 513, 3659, 267, 519, 10564, 11977, 7338, 269, 1879, 789, 4682, 6972, 1927, 267, 7338, 729, 12225, 1227, 967, 1815, 529, 633, 827, 799, 4155, 789, 11129, 547, 1491, 543, 24568, 24794, 1051, 1765, 21865, 561, 3512, 539, 602, 789, 1058, 267, 538, 1249, 267, 723, 3144, 519, 824, 835, 563, 8005, 5206, 519, 6648, 634, 10003, 3502, 570, 2586, 286, 0, 4204, 1930, 630, 1260, 1706, 894, 9962, 1930, 267, 2706, 331, 894, 11097, 652, 1930, 994, 268, 4625, 1930, 454, 268, 634, 4395, 7450, 729, 2647, 1930, 563, 268, 476, 4572, 273, 267, 12540, 2044, 13879, 267, 634, 966, 10679, 10117, 31594, 454, 268, 898, 729, 513, 6505, 267, 13566, 6640, 267, 543, 519, 9486, 11542, 2647, 1930, 563, 268, 2348, 1100, 4031, 610, 1876, 11268, 454, 268, 898, 729, 513, 2647, 1930, 20281, 4884, 1354, 519, 16456, 3357, 563, 268, 796, 3553, 339, 1194, 610, 796, 637, 9407, 454, 268, 634, 12556, 540, 519, 10211, 13743, 528, 568, 1869, 2647, 1930, 563, 268, 7925, 610, 796, 31695, 454, 268, 1261, 2451, 5128, 2647, 1930, 547, 9880, 563, 268, 630, 338, 7964, 264, 1510, 519, 4527, 540, 17837, 7404, 454, 268, 1261, 729, 2647, 1930, 543, 20639, 3362, 1310, 8391, 519, 1780, 563, 268, 630, 325, 12099, 264, 540, 519, 3510, 693, 519, 4098, 540, 9467, 950, 972, 568, 513, 1804, 3262, 1063, 19915, 543, 2307, 5777, 454, 268, 3943, 281, 1651, 1643 ]

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

[ 2115, 5749, 1405, 1558, 269, 6481, 32226, 568, 835, 1106, 540, 12250, 6057, 1141, 2043, 1810, 1405, 4309, 1697, 3782, 780, 3086, 1577, 781, 1445, 593, 2564, 32226, 538, 7890, 5468, 267, 1572, 519, 13163, 540, 2398, 11143, 630, 289, 8008, 264, 538, 519, 2136, 2276, 269, 634, 645, 8008, 814, 3652, 547, 6430, 952, 606, 538, 22940, 4991, 2564, 948, 269, 1452, 3664, 4096, 593, 2185, 1292, 1919, 1384, 272, 269, 2878, 14240, 540, 2564, 991, 4995, 1403, 2576, 781, 1072, 3390, 3085, 1405, 3514, 1369, 519, 645, 8008, 781, 2856, 540, 1018, 12523, 607, 17596, 2564, 1416, 267, 789, 1522, 711, 4309, 1022, 6351, 1256, 952, 621, 781, 2629, 563, 273, 269, 2878, 21675, 1942, 4995, 6884, 267, 519, 645, 8008, 4465, 1405, 29343, 2564, 5574, 1317, 789, 3494, 789, 616, 1932, 3902, 344, 269, 10251, 267, 713, 1797, 31852, 1522, 4413, 856, 593, 2556, 1416, 1175, 1317, 540, 2724, 563, 274, 269, 2878, 1805, 3530, 8244, 4995, 1703, 1590, 2141, 581, 22651, 610, 824, 5520, 18913, 31852, 950, 789, 3643, 7189, 3544, 519, 7890, 9744, 269, 1809, 952, 972, 5749, 1405, 2614, 5234, 2818, 2139, 267, 7210, 31852, 1223, 7227, 1454, 3476, 982, 8912, 585, 20499, 563, 275, 269, 2878, 3725, 3161, 4266, 4995, 8409, 683, 2130, 519, 1439, 540, 741, 4845, 1419, 723, 1447, 1569, 547, 3782, 2094, 519, 645, 8008, 6212, 811, 593, 16089, 873, 2864, 982, 3246, 2877, 5574, 780, 3719, 1018, 4523, 950, 2576, 814, 513, 4049, 4576, 286, 4340, 547, 519, 645, 8008, 267, 1152, 2175, 17116, 1272, 610, 4929, 1713, 2800, 547, 4105, 1560, 3252, 2154, 7525, 3007, 269, 1358, 3277, 547, 971, 2665, 607, 834, 8469, 1227, 3026, 10354, 1107, 26590, 610, 9622, 7217, 2437, 2495, 519, 3461, 2712, 326, 1836, 2115, 30674, 610, 1808, 5773, 269, 1717, 267, 1813, 547, 1585, 7687, 5941, 4505, 267, 31852, 1522, 1869, 7237, 7965, 8391, 3617, 543, 12905, 1416, 780, 2080, 781, 606, 1383, 547, 1732, 1174, 1946, 2564, 32226, 6927, 269, 2913, 781, 2161, 513, 15847, 538, 22940, 18418, 2299, 2115, 7378, 15833, 2789, 2053, 3232, 547, 7639, 269, 9603, 547, 3908, 2200, 267, 519, 645, 8008, 14543, 547, 17982, 2834, 7378, 13066, 269, 3683, 942, 267, 713, 3668, 540, 7850, 1416, 1131, 1291, 547, 4049, 8374, 267, 7133, 1312, 2168, 8171, 543, 2790, 6617, 269, 9182, 267, 713, 23304, 731, 585, 1480, 15683, 13054, 12250, 6057, 780, 1103, 5758, 267, 12250, 6057, 4386, 950, 1346, 3743, 585, 12391, 585, 1866, 3111, 547, 2743, 2596, 2115, 267, 3006, 4611, 538, 2564, 32226, 269, 1280, 14586, 13461, 593, 519, 13163, 540, 2398, 11143, 267, 17799, 543, 3954, 10118, 540, 1898, 2564, 1416, 666, 2014, 11991, 7092, 543, 22009, 840, 25365, 2175, 269, 4197, 713, 1966, 2337, 721, 12167, 585, 14619, 543, 6568, 2509, 3025, 267, 7488, 540, 6381, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 707, 7817, 568, 18822, 2614, 547, 1205, 13170, 267, 789, 1869, 949, 3068, 3275, 630, 528, 7654, 1296, 264, 547, 1205, 547, 1294, 543, 1287, 581, 5701, 676, 602, 11285, 269, 11109, 741, 2783, 7074, 538, 741, 13662, 305, 2059, 609, 741, 8156, 13500, 685, 7840, 3769, 949, 6961, 5363, 1934, 269, 14171, 782, 540, 713, 883, 2272, 267, 519, 645, 8008, 568, 896, 1100, 17185, 547, 1246, 519, 17874, 10629, 779, 2126, 7840, 282, 5358, 15048, 623, 2568, 274, 272, 269, 6860, 630, 303, 326, 269, 476, 736, 268, 2641, 1916, 307, 2586, 689, 1250, 2376, 2630, 282, 763, 8549, 4521, 9807, 267, 3967, 270, 15037, 269, 476, 1708, 272, 630, 303, 1137, 476, 3393, 268, 5379, 1070, 594, 2689, 519, 1184, 602, 519, 645, 8008, 3096, 547, 1683, 1416, 269, 16684, 569, 267, 789, 2461, 1759, 2901, 593, 741, 4214, 540, 2564, 991, 267, 2126, 1942, 267, 5234, 8244, 547, 13173, 519, 538, 22940, 547, 1294, 519, 10629, 267, 610, 875, 2673, 519, 538, 22940, 568, 547, 741, 5305, 4266, 563, 21675, 585, 1272, 18446, 2175, 568, 1898, 547, 2844, 519, 1272, 610, 1599, 540, 513, 2565, 15629, 1062, 543, 3340, 7525, 3007, 563, 763, 645, 8008, 4016, 547, 891, 2175, 607, 968, 8469, 1227, 3026, 10354, 1700, 10907, 1393, 610, 9622, 613, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9743, 6627, 18816, 257, 607, 851, 540, 834, 16300, 16337, 1315, 4317, 21771, 1315, 8447, 1299, 16508, 18816, 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, 2991, 1296, 540, 2182, 960, 543, 11428, 267, 594, 1185, 6368, 6192, 1250, 4487, 781, 4110, 538, 6530, 689, 513, 18019, 6280, 269, 3733, 6612, 585, 2790, 1072, 543, 4543, 1866, 3366, 803, 547, 2015, 13197, 513, 4876, 538, 1382, 269, 1306, 594, 3459, 3695, 1114, 9945, 543, 5238, 267, 594, 16686, 2390, 9315, 858, 2160, 910, 1634, 585, 922, 1158, 11665, 1382, 3292, 543, 5969, 12967, 6703, 269, 898, 8604, 899, 519, 3501, 1747, 547, 4434, 1250, 4081, 3853, 780, 296, 23362, 10272, 741, 3896, 547, 1451, 811, 827, 10647, 1382, 693, 9315, 858, 2160, 269, 1677, 1250, 10982, 599, 267, 594, 4362, 602, 789, 1185, 7453, 23944, 28987, 543, 20340, 585, 1761, 3173, 269, 3502, 1152, 1705, 1034, 7158, 2154, 513, 12854, 610, 606, 6697, 25719, 4110, 267, 855, 1082, 849, 2877, 3606, 2022, 28273, 28118, 1995, 269, 2311, 1101, 267, 594, 5433, 17204, 267, 3206, 602, 1250, 5326, 729, 796, 520, 1555, 762, 1510, 2417, 2069, 269, 1717, 267, 594, 4769, 1405, 1616, 547, 2285, 909, 1175, 2943, 780, 291, 17827, 547, 2743, 891, 4170, 267, 594, 4956, 547, 4019, 585, 513, 851, 6066, 12854, 1982, 1247, 11173, 547, 2744, 4052, 1995, 998, 22631, 4721, 269, 1280, 1896, 27615, 9934, 1296, 267, 594, 7059, 17440, 267, 3450, 13930, 11645, 267, 543, 1585, 1382, 3785, 269, 15762, 337, 881, 532, 3207, 267, 1514, 1272, 267, 543, 1256, 930, 2883, 6617, 267, 594, 7283, 8149, 547, 1818, 1250, 3804, 513, 4641, 780, 7661, 267, 1310, 9118, 19492, 20439, 17334, 543, 11995, 3108, 6170, 2542, 3332, 8039, 267, 8888, 6901, 267, 543, 7421, 1239, 267, 594, 6707, 5833, 1250, 12854, 538, 4791, 6530, 689, 513, 1134, 9113, 4624, 9872, 269, 661, 4526, 547, 2322, 1250, 16012, 1702, 883, 2259, 267, 594, 4294, 585, 513, 2990, 607, 513, 11001, 693, 9315, 858, 2160, 269, 2060, 1164, 13922, 543, 513, 2178, 3498, 267, 594, 19179, 1243, 741, 3210, 780, 291, 904, 5828, 883, 4374, 267, 543, 5555, 267, 594, 4607, 606, 4757, 31015, 689, 9315, 858, 2160, 269, 19196, 1243, 569, 267, 594, 8118, 621, 543, 1085, 10165, 519, 9115, 540, 519, 5048, 269, 1358, 941, 24330, 609, 1250, 22754, 267, 1519, 1250, 8313, 1686, 267, 543, 14376, 803, 585, 606, 5967, 256, 901, 4316, 5433, 30642, 282, 782, 1346, 1296, 540, 15093, 1522, 2965, 2628, 1055, 780, 2026, 594, 5423, 585, 519, 5967, 267, 594, 1490, 19813, 909, 593, 1699, 3466, 543, 7835, 1369, 1250, 6074, 2361, 267, 4180, 602, 594, 1131, 1459, 8885, 607, 513, 8746, 543, 19579, 11134, 269, 2201, 519, 1554, 540, 519, 5967, 267, 594, 8452, 2038, 267, 21039, 24015, 267, 543, 4712, 547, 6542, 1946, 594, 20705, 1851, 519, 22644, 539, 16034, 540, 9315, 858, 2160, 3173, 780, 9961, 519, 5967, 1184, 267, 594, 12943, 1142, 2243, 24617, 543, 3177, 2143, 1806, 540, 1250, 2833, 543, 10781, 269, 18421, 8604, 547, 979, 12347, 2394, 835, 3803, 7455, 4252, 3357, 1250, 1259, 1107, 519, 8470, 4280, 952, 594, 1223, 3479, 547, 2407, 6066, 1382, 5612, 267, 2016, 519, 10296, 2470, 540, 741, 5571, 1788, 269, 10251, 267, 1813, 547, 1991, 1920, 13800, 267, 594, 7948, 1405, 3398, 971, 513, 7029, 267, 6028, 803, 2295, 15842, 5287, 2899, 1586, 780, 9617, 950, 594, 2219, 594, 1185, 1558, 1169, 10421, 267, 606, 6397, 21677, 17774, 3166, 269, 9282, 25922, 267, 594, 2451, 519, 5967, 6616, 594, 5795, 621, 3388, 594, 1185, 269, 13536, 602, 10543, 267, 594, 4607, 1776, 9983, 1289, 689, 519, 2212, 540, 519, 8257, 267, 945, 862, 2105, 1250, 2773, 1282, 519, 5967, 543, 6829, 1719, 538, 4466, 4244, 3435, 547, 13918, 1250, 3510, 780, 19102, 323, 4601, 18507, 585, 1200, 1620, 267, 649, 5941, 7399, 1141, 594, 1223, 3565, 20716, 543, 3666, 1250, 9021, 7258, 519, 2565, 7569, 540, 519, 1788, 269, 16828, 267, 1352, 6035, 803, 513, 8465, 267, 23344, 4101, 267, 1909, 3850, 803, 547, 11886, 1250, 15400, 20440, 780, 8601, 3875, 23665, 2059, 519, 1259, 267, 1250, 8990, 6976, 1055, 538, 2081, 594, 2760, 16545, 2009, 269, 1656, 1631, 267, 1934, 594, 993, 267, 2324, 29367, 607, 513, 12595, 4759, 540, 519, 9315, 858, 2160, 1382, 2319, 267, 18445, 596, 666, 3035, 707, 9909, 5103, 9583, 31837, 25236, 762, 12918, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 2108, 6701, 972, 1022, 1808, 23944, 28987, 610, 20340, 2838, 547, 2932, 1382, 693, 9315, 858, 2160, 888, 8133, 267, 972, 616, 1808, 23944, 28987, 543, 20340, 2838, 547, 2932, 1382, 693, 9315, 858, 2160, 269, 1452, 949, 4268, 4470, 593, 519, 1880, 2361, 610, 9015, 267, 855, 3335, 1331, 1384, 272, 269, 29358, 3872, 4170, 281, 4107, 1382, 7158, 693, 9315, 858, 2160, 2154, 10457, 547, 3180, 513, 12854, 610, 6697, 25719, 4110, 538, 513, 4143, 1641, 1858, 269, 2368, 7158, 949, 849, 2154, 3606, 2022, 28273, 28118, 1995, 780, 273, 269, 31999, 1382, 1995, 281, 15443, 573, 919, 1590, 723, 513, 7152, 2594, 540, 1382, 2534, 543, 9740, 267, 2356, 23576, 676, 12326, 538, 1283, 2389, 1512, 13746, 267, 9886, 7616, 267, 543, 824, 12508, 540, 1382, 7607, 780, 274, 269, 11310, 540, 1382, 2409, 543, 2853, 281, 15443, 573, 919, 1058, 581, 5432, 609, 1655, 2853, 538, 1382, 2409, 543, 581, 2111, 547, 1374, 543, 14892, 2090, 602, 616, 1312, 5683, 543, 11826, 780, 275, 269, 9442, 1983, 281, 9232, 692, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 2026, 596, 2263, 707, 1007, 10450, 267, 649, 9364, 899, 547, 6338, 596, 547, 835, 540, 8103, 781, 1034, 11537, 688, 1009, 5138, 281, 2909, 4575, 5810, 883, 707, 4552, 256, 901, 23406, 1413, 568, 3501, 585, 2027, 14026, 610, 4948, 5957, 780, 6524, 649, 2253, 267, 1577, 781, 3382, 930, 1898, 9238, 1384, 265, 2878, 295, 1515, 4995, 634, 2571, 267, 8142, 6438, 1332, 2195, 602, 17708, 339, 689, 519, 1283, 540, 3425, 262, 9843, 563, 265, 2878, 23044, 619, 4995, 7822, 995, 267, 29549, 2030, 2694, 1419, 1031, 607, 23598, 610, 13344, 563, 265, 2878, 295, 1343, 4995, 18972, 946, 891, 8465, 267, 30230, 4771, 16289, 1137, 693, 519, 1439, 540, 741, 7916, 547, 13861, 3615, 780, 3086, 267, 616, 596, 4712, 547, 1451, 875, 547, 2909, 573, 5810, 883, 707, 4552, 2496, 1262, 3721, 476, 272, 281, 16259, 2659, 22458, 4373, 8340, 513, 6899, 5544, 547, 1694, 267, 2901, 593, 513, 24302, 16845, 2627, 630, 3697, 513, 11381, 264, 610, 593, 513, 6366, 267, 4396, 2666, 630, 3697, 513, 6989, 1040, 28528, 2196, 707, 11263, 998, 707, 4552, 547, 1033, 4120, 1022, 25418, 269, 1403, 707, 4552, 568, 3226, 24516, 1399, 267, 596, 1522, 991, 547, 946, 513, 1907, 1572, 513, 2036, 610, 11453, 547, 948, 5347, 621, 856, 780, 12648, 4063, 540, 519, 1114, 6810, 540, 707, 4552, 1384, 265, 2878, 305, 334, 1824, 4995, 7316, 707, 4552, 9428, 2047, 689, 707, 21435, 563, 265, 2878, 21920, 4995, 634, 3476, 22204, 602, 2095, 1524, 689, 519, 5072, 563, 265, 2878, 19522, 4995, 634, 7475, 540, 707, 4552, 267, 799, 949, 581, 5594, 8237, 610, 535, 2001, 539, 780, 2690, 1631, 267, 1445, 593, 519, 1647, 3296, 1107, 519, 3259, 540, 707, 4552, 780, 1262, 3721, 476, 273, 281, 7994, 2659, 26540, 4373 ]

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

[ 17496, 563, 2691, 1769, 13788, 519, 3750, 998, 513, 1395, 1993, 5914, 7828, 267, 621, 568, 18761, 547, 513, 2582, 1445, 1448, 593, 519, 22100, 269, 634, 1034, 1455, 1826, 540, 25942, 716, 8851, 6391, 568, 1572, 943, 23147, 655, 6160, 2305, 267, 610, 585, 2110, 269, 5680, 950, 14045, 799, 7828, 547, 3442, 585, 25942, 716, 6391, 267, 1004, 1058, 2015, 3790, 267, 3232, 5075, 2115, 267, 4540, 5075, 2042, 267, 543, 5294, 543, 931, 630, 1721, 1383, 267, 930, 14485, 723, 811, 5075, 10443, 563, 12507, 1993, 5914, 594, 5357, 338, 634, 1034, 1455, 1826, 540, 7828, 1031, 609, 25942, 716, 6391, 568, 1572, 513, 1395, 1993, 5914, 594, 5357, 269, 898, 814, 835, 2519, 3845, 269, 898, 568, 1305, 547, 1445, 585, 909, 2673, 267, 5420, 2039, 610, 3845, 5075, 269, 4107, 1004, 723, 873, 1305, 585, 2312, 3845, 5075, 15660, 5357, 1955, 17852, 281, 30776, 1234, 10293, 2991, 9697, 541, 9711, 320, 7776, 269, 528, 724, 1777, 1186, 2517, 4178, 18502, 7776, 3820, 15955, 3750, 268, 8234, 15955, 3676, 15955, 25942, 9711, 268, 1470, 2507, 320, 7776, 269, 528, 724, 1777, 1186, 2517, 4178, 18502, 7776, 3820, 15955, 3750, 268, 8234, 15955, 3676, 15955, 25942, 9711, 268, 1470, 2507, 0, 1103, 606, 5736, 13856, 676, 6639, 7760, 267, 835, 5647, 6763, 856, 585, 922, 1761, 547, 22499, 875, 649, 2170, 609, 519, 1158, 1472, 721, 9789, 16674, 2839, 630, 20238, 1470, 6363, 15968, 22384, 264, 13863, 269, 10787, 3564, 922, 8129, 607, 513, 2241, 9477, 1907, 267, 16674, 2839, 2029, 568, 26405, 547, 1315, 526, 9008, 18080, 2593, 270, 12260, 513, 16221, 540, 7399, 267, 5935, 519, 2104, 538, 2081, 649, 1223, 1152, 4952, 563, 8368, 540, 12937, 454, 8139, 16674, 2839, 281, 15332, 519, 17943, 454, 27184, 2839, 2029, 3322, 519, 946, 540, 13590, 4610, 547, 2697, 543, 3950, 16776, 7923, 547, 3615, 610, 2043, 269, 20323, 2919, 585, 11891, 543, 1569, 1852, 267, 16674, 2839, 814, 7960, 883, 513, 11684, 1907, 609, 3156, 17364, 6080, 269, 634, 6263, 267, 796, 984, 339, 28424, 13365, 616, 1631, 11251, 538, 3388, 689, 5491, 6486, 543, 1780, 7964, 547, 5399, 2835, 543, 10685, 2472, 563, 763, 5295, 540, 1530, 600, 1652, 16949, 454, 3080, 540, 519, 1883, 9342, 540, 16674, 2839, 6013, 538, 922, 2702, 547, 16900, 11753, 883, 1585, 3344, 540, 938, 3232, 2729, 269, 5994, 513, 1158, 1141, 596, 666, 24672, 6330, 1857, 5624, 267, 1118, 16306, 267, 543, 1569, 5150, 6753, 609, 513, 2241, 5951, 540, 707, 1688, 269, 16674, 2839, 13365, 723, 519, 1761, 547, 20928, 3157, 267, 3986, 4398, 267, 543, 2709, 26080, 13418, 563, 1103, 519, 7706, 540, 3782, 267, 16674, 2839, 568, 1818, 1713, 26058, 269, 21111, 5638, 666, 581, 14678, 15600, 267, 6646, 7245, 666, 581, 16913, 538, 1483, 6066, 267, 543, 2564, 3937, 666, 581, 7561, 27424, 269, 634, 1267, 568, 513, 3782, 1062, 602, 568, 711, 1152, 811, 3608, 855, 849, 10930, 543, 811, 3461, 7266, 878, 563, 26670, 3496, 18242, 932, 1622, 454, 27184, 2839, 779, 1764, 593, 3761, 5832, 2359, 3112, 581, 936, 26061, 269, 634, 2029, 6087, 1483, 6066, 9477, 540, 11891, 267, 4227, 6959, 267, 10893, 9271, 267, 543, 5355, 2949, 4398, 269, 2060, 16674, 2839, 267, 4213, 666, 3035, 3152, 11413, 543, 30506, 538, 741, 3761, 5832, 267, 6038, 3056, 547, 1942, 9806, 543, 4824, 6075, 9547, 563, 20376, 12053, 543, 21041, 19047, 454, 4407, 16674, 2839, 2029, 3091, 3875, 2640, 267, 4145, 827, 3354, 543, 7834, 723, 1044, 6659, 269, 1306, 649, 9784, 519, 1761, 540, 16674, 2839, 267, 621, 3587, 2629, 547, 2232, 891, 4145, 30082, 269, 22367, 6362, 519, 1318, 3666, 1063, 13418, 543, 17420, 2123, 1344, 568, 1898, 585, 519, 7839, 10343, 540, 713, 13710, 2029, 563, 763, 16674, 2839, 4838, 568, 1175, 4098, 269, 1306, 519, 2029, 5170, 547, 4434, 267, 649, 666, 2503, 1256, 811, 5499, 3156, 269, 3245, 5100, 4872, 547, 10531, 10685, 2833, 267, 519, 7399, 616, 3808, 1652, 269, 16871, 519, 1761, 540, 16674, 2839, 3340, 6297, 7156, 540, 5683, 267, 3656, 267, 543, 6848, 6286, 267, 855, 609, 15826, 6388, 267, 649, 666, 10244, 922, 1379, 547, 3337, 513, 2104, 602, 568, 811, 4448, 267, 3608, 267, 543, 5150, 563, 1103, 3932, 267, 519, 16674, 2839, 13863, 568, 711, 1175, 513, 6639, 14952, 282, 621, 779, 513, 1883, 602, 666, 12260, 519, 9885, 547, 513, 2104, 1141, 15774, 5610, 267, 4398, 267, 543, 14479, 28196, 710, 519, 1259, 649, 2661, 267, 960, 267, 543, 2170, 609, 519, 1158, 1472, 721, 269, 0, 3963, 519, 2782, 940, 888, 8139, 519, 7355, 3297, 519, 3557, 4972, 781, 3375, 269, 3245, 2797, 16132, 547, 1072, 4220, 267, 1451, 1946, 891, 2477, 1500, 519, 1592, 563, 18439, 519, 1101, 2947, 2477, 593, 519, 1592, 269, 5192, 4030, 883, 519, 1808, 4145, 543, 13685, 3056, 547, 741, 8760, 607, 1100, 30559, 10851, 563, 291, 10679, 883, 519, 1985, 2947, 2477, 4857, 676, 519, 2475, 3557, 4972, 269, 1133, 16225, 519, 2189, 2591, 5185, 676, 1977, 17631, 538, 891, 6753, 563, 763, 15937, 12866, 454, 20524, 519, 2063, 1305, 540, 2477, 593, 519, 1592, 269, 13773, 5483, 827, 1761, 12178, 543, 2152, 602, 3366, 547, 519, 3557, 4972, 781, 13657, 776, 18879, 563, 17809, 4575, 1898, 3106, 4388, 585, 17631, 269, 4982, 760, 3054, 609, 1702, 593, 875, 547, 6330, 7334, 3871, 543, 7413, 4220, 13383, 563, 288, 2656, 4704, 3391, 547, 6595, 17066, 269, 3550, 596, 723, 519, 2556, 2338, 13561, 538, 2013, 540, 27644, 6381, 538, 14542, 11182, 563, 15447, 6969, 1411, 3619, 454, 11947, 2775, 532, 519, 2956, 540, 9488, 1382, 1354, 1022, 3486, 7552, 269, 6258, 875, 7041, 666, 581, 707, 1655, 8878, 1996, 1761, 4220, 563, 9199, 767, 27545, 5455, 30098, 454, 26835, 4448, 609, 1483, 6066, 2951, 28007, 10311, 269, 4855, 856, 875, 547, 4309, 12905, 1344, 547, 1118, 5483, 3664, 827, 707, 2951, 4566, 563, 8139, 519, 1909, 540, 3743, 2951, 269, 13028, 875, 1373, 606, 5483, 543, 931, 2615, 1190, 2951, 518, 8309, 547, 2518, 3106, 563, 18704, 519, 11310, 454, 21886, 15758, 3988, 547, 2671, 713, 3407, 1344, 269, 6435, 1711, 513, 2146, 540, 3222, 17631, 945, 4225, 3106, 538, 741, 2518, 9035, 563, 763, 6816, 21537, 1047, 281, 589, 20907, 6363, 7037, 5689, 323, 1161, 20010, 0, 763, 11068, 15553, 6129, 454, 8072, 291, 836, 2730, 2157, 685, 540, 6757, 8407, 30443, 6362, 538, 707, 5172, 16098, 24713, 344, 29808, 454, 763, 25541, 16098, 267, 799, 3769, 1346, 4122, 1336, 538, 17365, 8637, 1256, 1934, 538, 645, 1824, 32272, 1519, 2582, 543, 6404, 4829, 23238, 267, 2030, 2861, 5144, 267, 7091, 553, 25467, 29225, 941, 6027, 585, 476, 1839, 1114, 6757, 8407, 543, 10250, 2609, 563, 2108, 300, 12089, 1922, 8816, 23238, 543, 2030, 22372, 5144, 630, 7945, 607, 27046, 543, 30288, 264, 8659, 11506, 9830, 540, 6757, 8407, 811, 1419, 982, 824, 10425, 2223, 3081, 519, 1353, 563, 5353, 1597, 540, 519, 476, 1839, 2609, 25295, 6704, 1216, 4441, 538, 930, 540, 519, 10425, 267, 1519, 19695, 267, 22670, 267, 18664, 517, 267, 20017, 26606, 267, 1193, 2632, 1756, 267, 28227, 543, 31093, 269, 2755, 1291, 729, 9571, 538, 811, 982, 476, 11152, 829, 1298, 540, 519, 476, 2568, 5439, 267, 1034, 8659, 1360, 1970, 2157, 2630, 835, 851, 829, 5479, 563, 763, 5207, 1377, 630, 277, 269, 274, 2890, 31810, 270, 4846, 264, 729, 1336, 538, 513, 18654, 5026, 4235, 267, 1498, 602, 779, 2630, 2622, 2657, 9257, 4441, 585, 6704, 1216, 563, 17606, 729, 9670, 602, 972, 5749, 1406, 513, 2603, 540, 2090, 856, 972, 7282, 6757, 543, 1898, 2609, 538, 2571, 10425, 269, 901, 786, 1711, 4656, 602, 972, 2115, 547, 581, 811, 1353, 1848, 3220, 570, 1168, 617, 4592, 717, 1712, 2692, 267, 1291, 2278, 543, 13930, 7548, 540, 2825, 1072, 9443, 693, 570, 592, 2033, 2160, 3427, 540, 5398, 2657, 543, 23427, 6925, 1767, 538, 513, 2046, 5305, 563, 3891, 1767, 621, 729, 1271, 547, 2932, 519, 1353, 2094, 972, 616, 1906, 9263, 24595, 2090, 6313, 519, 9115, 540, 16098, 563, 763, 11001, 19230, 602, 3237, 1058, 581, 18762, 827, 1018, 10425, 789, 2709, 741, 1453, 2094, 519, 4539, 616, 711, 865, 5458, 538, 4079, 267, 789, 8532, 538, 4130, 9424, 982, 1216, 454, 2108, 10144, 1058, 2057, 4758, 12256, 543, 1762, 1453, 6404, 26258, 23238, 610, 2030, 2861, 5144, 693, 1164, 4320, 2223, 717, 1712, 2692, 1767, 269, 968, 288, 3464, 21329, 267, 1291, 267, 543, 20017, 26606, 616, 1634, 15910, 11077, 543, 1134, 3964, 547, 2014, 4835, 1418, 3441, 543, 5042, 2800, 538, 1453, 267, 2523, 1282, 2038, 2634, 1646, 3034, 3891, 1767, 519, 2609, 1336, 538, 16098, 27229, 2097, 689, 13572, 3037, 2094, 789, 616, 6923, 9648, 865, 621, 779, 2182, 547, 1205, 7759, 540, 4625, 563, 2467, 568, 513, 991, 547, 2932, 513, 1981, 4879, 1759, 593, 519, 1239, 6394, 547, 1294, 519, 5222, 540, 10438, 6757, 8407, 538, 1453, 543, 4079, 563, 14071, 616, 8049, 547, 1832, 3695, 1018, 779, 538, 938, 10425, 543, 3536, 20749, 4421, 547, 519, 6800, 2223, 646, 1767, 269, 0, 272, 269, 10417, 540, 2696, 281, 18420, 568, 513, 4874, 1492, 2065, 4984, 267, 2495, 621, 11099, 538, 2789, 10971, 543, 15831, 525, 269, 8567, 267, 593, 519, 824, 1688, 267, 568, 513, 1395, 6139, 2065, 4984, 267, 18468, 538, 835, 2696, 563, 273, 269, 16241, 31157, 281, 18420, 814, 513, 5318, 4015, 540, 10723, 5931, 267, 1519, 519, 28174, 553, 267, 772, 20725, 6758, 267, 13225, 698, 822, 611, 717, 7534, 267, 543, 10548, 27011, 267, 1851, 1866, 269, 8567, 5097, 5205, 519, 6426, 267, 799, 5161, 540, 519, 6196, 11620, 630, 3891, 11119, 6426, 264, 543, 519, 1715, 11620, 563, 274, 269, 674, 10133, 281, 18420, 1281, 711, 723, 513, 1808, 13653, 267, 607, 621, 7960, 936, 5215, 540, 1296, 269, 8567, 15244, 922, 8129, 547, 4906, 2441, 267, 945, 568, 2808, 519, 13653, 543, 3844, 4137, 563, 275, 269, 6428, 14010, 281, 18420, 11099, 538, 519, 1523, 540, 556, 4532, 28271, 543, 737, 12609, 267, 1141, 2043, 616, 6450, 1941, 1759, 593, 741, 3527, 538, 3105, 2729, 269, 8567, 11414, 602, 20778, 568, 6913, 998, 5132, 538, 4906, 2441, 543, 1010, 15093, 593, 519, 3444, 563, 276, 269, 681, 3770, 338, 543, 654, 11208, 281, 9699, 10847, 2853, 4268, 7494, 267, 8151, 689, 14969, 11454, 12738, 547, 2123, 9066, 543, 10649, 269, 8567, 11363, 18497, 10847, 267, 609, 2834, 5939, 2533, 267, 5485, 571, 906, 267, 543, 11755, 563, 277, 269, 2991, 5158, 281, 18420, 11099, 538, 519, 4783, 540, 4332, 267, 2669, 267, 543, 32193, 267, 1634, 607, 521, 4461, 4673, 269, 634, 10700, 3804, 568, 547, 2736, 1863, 689, 713, 4783, 543, 12492, 544, 758, 3333, 320, 630, 12221, 3130, 1040, 8567, 11414, 519, 3661, 538, 13140, 543, 22946, 267, 609, 519, 3803, 10385, 8159, 835, 781, 18163, 22038, 563, 278, 269, 10020, 540, 4906, 281, 769, 18420, 267, 4906, 568, 1419, 9833, 607, 513, 1390, 5289, 4116, 610, 606, 1285, 20345, 540, 2696, 267, 855, 711, 8209, 519, 12600, 5260, 1640, 269, 8567, 5784, 4906, 607, 519, 12312, 540, 2696, 543, 519, 31050, 267, 945, 3357, 547, 4688, 8103, 689, 5609, 563, 279, 269, 595, 4292, 3590, 281, 18420, 12926, 15081, 9529, 519, 22634, 1062, 267, 799, 17337, 2486, 883, 21712, 1514, 5049, 269, 8567, 7947, 338, 519, 22634, 1062, 543, 8992, 7862, 1851, 782, 2043, 563, 280, 269, 1160, 572, 569, 339, 1436, 281, 8567, 814, 513, 2178, 2245, 540, 27685, 1143, 543, 8362, 11394, 547, 6460, 1004, 547, 922, 5132, 269, 18420, 1281, 711, 723, 513, 2147, 8561, 593, 18340, 569, 339, 1436, 267, 607, 621, 3622, 24693, 3309, 10092, 547, 5289, 20185, 563, 1015, 269, 10417, 540, 16429, 281, 18420, 1281, 711, 723, 513, 8471, 1523, 540, 5609, 855, 17767, 519, 2956, 540, 5837, 543, 5683, 2623, 269, 8567, 11414, 602, 782, 3425, 616, 4535, 609, 3312, 5609, 543, 991, 25863, 998, 4906, 2441, 563, 1556, 269, 13834, 32018, 281, 18420, 814, 13840, 8655, 1808, 4008, 5107, 543, 9021, 267, 609, 2367, 1419, 8066, 811, 1379, 543, 6392, 269, 8567, 8992, 519, 7862, 540, 2367, 543, 2021, 267, 10771, 8994, 2463, 543, 11450, 563, 1321, 269, 14358, 593, 4033, 9671, 687, 281, 18420, 3622, 24693, 519, 14496, 540, 824, 10764, 543, 11099, 538, 519, 6228, 540, 2789, 10092, 547, 3914, 519, 10143, 269, 8567, 267, 1247, 14344, 519, 6228, 540, 824 ]

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

[ 825, 1219, 4894, 291, 340, 27289, 4311, 267, 3650, 2187, 1038, 1948, 2237, 707, 3009, 1934, 454, 1038, 952, 2212, 568, 7183, 912, 2018, 2132, 454, 1038, 2385, 815, 2212, 454, 1038, 6843, 815, 2212, 12785, 454, 1038, 1247, 2385, 543, 6843, 912, 2018, 521, 815, 1305, 8443, 8001, 21606, 7481, 2018, 6843, 815, 2385, 12785, 454, 2018, 1247, 6843, 543, 6843, 21606, 538, 521, 912, 3546, 6843, 815, 6843, 12785, 454, 2018, 2385, 12785, 815, 6843, 454, 2018, 2385, 815, 2385, 12785, 454, 1038, 2132, 2212, 692, 332, 2643, 626, 284, 8827, 4590, 307, 25507, 9272, 15405, 3650, 22561, 454, 1721, 1775, 538, 2039, 24867, 2187, 825, 1239, 25507, 9272, 15405, 825, 2212, 284, 332, 2643, 626, 27044, 263, 3650, 267, 11907, 994, 3650, 284, 332, 2643, 626, 31927, 291, 340, 27289, 263, 3650, 994, 332, 2643, 626, 269, 5891, 263, 3650, 5148 ]

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

[ 585, 2870, 513, 28677, 5888, 666, 581, 1022, 2647, 8708, 610, 8708, 267, 519, 4463, 540, 519, 6821, 540, 799, 1281, 711, 9765, 476, 1428, 1700, 736, 4699, 269, 634, 3178, 540, 519, 8708, 568, 5462, 676, 519, 3903, 540, 2371, 281, 585, 13151, 28684, 267, 476, 1015, 4699, 568, 2614, 267, 543, 585, 3677, 15013, 1107, 909, 547, 476, 736, 4699, 269, 634, 3677, 519, 8880, 1858, 4390, 267, 519, 9962, 519, 2361, 585, 5876, 563, 1103, 1840, 547, 10036, 8768, 17428, 267, 596, 666, 946, 533, 24548, 267, 5068, 11480, 2694, 267, 19596, 30520, 267, 543, 1256, 2025, 29826, 547, 1711, 513, 9910, 4677, 269, 1677, 1118, 606, 5667, 4774, 8708, 811, 1459, 762, 267, 596, 666, 30164, 922, 9018, 6821, 609, 7206, 267, 3818, 23469, 19821, 923, 267, 4837, 610, 6366, 19273, 10756, 763, 4527, 540, 12775, 9475, 568, 513, 32563, 585, 782, 11149, 269, 9540, 27061, 543, 9475, 538, 519, 5377, 540, 519, 8708, 616, 2556, 547, 8963, 4430, 1216, 269, 11569, 267, 609, 7050, 14450, 267, 4430, 1216, 666, 2014, 3597, 4232, 563, 24868, 1214, 540, 2030, 5079, 454, 763, 3903, 540, 5810, 543, 2030, 902, 5673, 593, 519, 6249, 540, 519, 5888, 269, 1280, 1383, 267, 585, 513, 4224, 4677, 610, 22586, 14629, 267, 21728, 328, 543, 824, 13151, 28684, 616, 3501, 281, 19987, 267, 688, 341, 8527, 807, 267, 6149, 9782, 267, 6822, 636, 563, 2304, 4277, 4781, 5654, 950, 3039, 26965, 616, 12630, 2047, 883, 519, 6149, 269, 1280, 713, 3483, 267, 10007, 609, 513, 24338, 2497, 616, 1732, 14018, 281, 14680, 267, 512, 4428, 267, 7387, 4224, 269, 634, 2571, 2497, 540, 519, 10007, 568, 2653, 547, 1184, 267, 7064, 547, 799, 267, 676, 4718, 532, 267, 596, 666, 1711, 968, 335, 20449, 892, 543, 968, 529, 4133, 892, 585, 9544, 2371, 563, 16449, 519, 10007, 267, 789, 9985, 30598, 281, 575, 2120, 807, 267, 1094, 343, 604, 14141, 267, 15074, 802, 2088, 267, 533, 778, 344, 874, 12682, 636, 269, 1677, 11677, 519, 7509, 2556, 585, 519, 5810, 267, 621, 568, 19624, 547, 7110, 519, 968, 13702, 344, 892, 15885, 609, 1350, 3547, 540, 21263, 563, 2252, 596, 1616, 547, 30164, 519, 4677, 538, 519, 2511, 540, 513, 6288, 5251, 267, 596, 666, 3442, 513, 21221, 535, 16307, 267, 1250, 337, 1479, 610, 2724, 3529, 607, 3039, 5624, 269, 1452, 20538, 4054, 616, 2442, 1813, 547, 741, 16560, 13862, 267, 547, 8190, 519, 3337, 540, 799, 621, 568, 2614, 1175, 547, 2759, 543, 32521, 519, 1036, 3497, 22534, 538, 513, 12905, 6073, 10756, 294, 15869, 995, 3083, 625, 540, 7814, 600, 839, 267, 1792, 696, 665, 541, 16476, 267, 24712, 543, 5348, 335, 10008, 786, 948, 547, 3142, 10477, 4778, 269, 1306, 789, 16036, 267, 621, 568, 2653, 547, 5372, 873, 609, 1007, 8677, 602, 616, 1175, 10024, 519, 15496, 4005, 267, 5329, 519, 4677, 10694, 2429, 519, 1032, 10756, 16920, 1549, 256, 4595, 1022, 2030, 902, 607, 789, 1332, 6445, 811, 543, 811, 8513, 267, 585, 25786, 11741, 15885, 267, 13283, 1058, 581, 2016, 547, 3500, 21212, 15013, 563, 2414, 1711, 513, 4677, 267, 596, 666, 946, 1022, 2326, 693, 1688, 281, 17375, 8043, 267, 5068, 3514, 14005, 267, 15798, 17850, 338, 267, 3662, 19562, 1149, 269, 1677, 1711, 519, 2556, 1303, 5971, 267, 519, 1283, 4494, 540, 519, 3618, 666, 581, 21243, 609, 5070, 267, 5386, 18574, 267, 4262, 890, 6277, 956, 269, 4634, 4773, 540, 11954, 4837, 543, 695, 1841, 540, 7745, 8286, 666, 581, 9862, 547, 3142, 707, 2856, 547, 1272, 10756, 763, 10651, 267, 21243, 609, 20538, 5656, 267, 1413, 29099, 28677, 269, 570, 4176, 8075, 666, 581, 12349, 538, 7463, 8637, 610, 1500, 609, 707, 1378, 3946, 689, 519, 1482, 13292, 10756, 10214, 519, 19984, 540, 513, 2947, 2000, 3438, 5068, 11480, 666, 4196, 607, 519, 4493, 585, 2870, 513, 6263, 13111, 267, 799, 568, 2614, 547, 30565, 621, 538, 519, 2666, 865, 602, 519, 5011, 616, 711, 7298, 269, 898, 568, 3833, 2653, 547, 12404, 519, 5068, 5377, 540, 519, 6077, 676, 8720, 621, 609, 513, 4494, 540, 5070, 269, 1677, 1711, 519, 1198, 540, 519, 12567, 540, 3798, 523, 267, 621, 568, 19624, 547, 30164, 519, 968, 17060, 892, 540, 519, 13111, 609, 16560, 15496, 2371, 269, 18830, 519, 4282, 540, 519, 1216, 2627, 267, 789, 1413, 1390, 281, 6070, 1756, 267, 1951, 8619, 6511, 267, 21221, 535, 16307, 543, 562, 518, 614, 320, 563, 14888, 312, 9910, 3766, 31678, 11460, 454, 1320, 9722, 936, 519, 11460, 540, 513, 9910, 3766, 31678, 267, 621, 568, 19624, 547, 1491, 883, 2272, 513, 1297, 540, 2798, 563, 20278, 618, 4087, 269, 898, 1131, 581, 8799, 547, 1747, 513, 9910, 3766, 31678, 538, 519, 4395, 1858, 540, 519, 4055, 269, 3973, 646, 786, 2141, 581, 538, 8289, 267, 9870, 519, 7099, 609, 1010, 5920, 543, 519, 5411, 540, 519, 2777, 267, 543, 1010, 14538, 269, 1809, 2094, 922, 1292, 5413, 568, 10688, 267, 952, 5551, 267, 519, 5888, 666, 2141, 581, 22198, 6548, 547, 513, 1007, 1747, 267, 7551, 4129, 4328, 519, 9703, 10756, 31995, 2175, 269, 898, 568, 1271, 547, 1491, 883, 2272, 519, 15116, 885, 540, 3395, 2371, 609, 799, 596, 1544, 547, 6445, 606, 791, 668, 696, 340, 8768, 4677, 269, 634, 6099, 1747, 585, 11460, 568, 1930, 547, 7943, 543, 6870, 689, 31585, 10756, 19465, 513, 15417, 5748, 454, 2690, 9544, 2371, 950, 25786, 606, 791, 668, 696, 340, 8768, 4677, 538, 513, 1494, 267, 513, 3037, 7848, 9967, 540, 21432, 5070, 267, 24435, 543, 32005, 267, 3144, 538, 513, 5223, 540, 476, 273, 281, 476, 272, 281, 476, 272, 267, 568, 6099, 10756, 2171, 3382, 519, 5377, 540, 519, 8708, 609, 513, 4494, 540, 5386, 18574, 267, 890, 6277, 956, 610, 9450, 10036, 267, 799, 786, 1685, 513, 12775, 1599, 269, 2991, 602, 267, 649, 6445, 519, 8708, 609, 15417, 3037, 267, 711, 4946, 476, 272, 1700, 273, 4699, 547, 519, 6316, 267, 543, 512, 2086, 621, 5594, 563, 2252, 596, 991, 547, 2030, 2371, 602, 4782, 2027, 2010, 540, 3037, 267, 596, 666, 1118, 2027, 968, 335, 20449, 6100, 898, 568, 2653, 547, 10646, 1063, 873, 676, 1797, 540, 16560, 22338, 540, 1507, 10007, 543, 3574, 13365, 269, 634, 3390, 540, 2030, 17356, 666, 849, 581, 12193, 676, 9544, 873, 538, 513, 1455, 1494, 1510, 9427, 873, 689, 741, 968, 333, 894, 892, 11149, 563, 2691, 13003, 532, 2371, 689, 11149, 267, 519, 1292, 3364, 568, 711, 547, 3441, 519, 3597, 1062, 269, 6875, 1390, 1416, 950, 9427, 543, 9544, 873, 538, 513, 1007, 8708, 10756, 2691, 11093, 2371, 267, 2921, 883, 2272, 741, 2208, 16548, 267, 621, 568, 16122, 547, 2226, 519, 3845, 1063, 519, 19155, 269, 1411, 1058, 849, 1491, 883, 2272, 741, 989, 4710, 1013, 673, 4162, 281, 930, 4782, 26484, 2127, 267, 1866, 530, 2416, 2476, 1510, 7943, 267, 519, 5449, 899, 9793, 14450, 267, 519, 8545, 1107, 789, 2648, 606, 11606, 540, 7509, 563, 5522, 1218, 538, 513, 1494, 616, 5116, 2687, 547, 519, 1482, 6240, 607, 538, 606, 8723, 8768, 5127, 281, 1970, 21212, 15013, 616, 12630, 538, 519, 32215, 267, 543, 519, 4282, 568, 21243, 609, 26339, 8677, 563, 13356, 2610, 609, 7718, 2609, 454, 16352, 5116, 519, 1292, 2609, 540, 519, 5888, 267, 649, 6445, 519, 8900, 5624, 609, 513, 29746, 540, 1507, 10007, 267, 799, 267, 538, 1840, 547, 519, 12716, 1599, 267, 786, 2061, 519, 21381, 540, 7509, 689, 519, 3037, 543, 519, 2208, 540, 18047, 563, 763, 21903, 540, 1216, 538, 513, 8768, 4677, 786, 948, 547, 1711, 4837, 890, 6277, 956, 267, 23953, 538, 513, 1507, 13472, 693, 519, 2427, 540, 519, 1494, 269, 1323, 3312, 1840, 547, 519, 968, 4133, 3874, 892, 786, 581, 513, 20538, 18711, 543, 513, 21117, 1500, 540, 11308, 7729, 9955, 563, 763, 9910, 3766, 31678, 568, 4712, 269, 595, 2130, 585, 621, 5161, 1152, 538, 9427, 27315, 1540, 5810, 543, 22534, 267, 607, 1134, 607, 4509, 606, 6099, 11195, 12512, 269, 0, 8266, 540, 4872, 538, 6792, 454, 8266, 540, 519, 5440, 476, 1911, 4872, 538, 6792, 676, 6378, 2551, 267, 2687, 547, 519, 476, 1708, 271, 11204, 2817, 17227, 11607, 5903, 540, 4872, 538, 6792, 454, 1704, 1644, 3584, 454, 289, 528, 965, 538, 6792, 4975, 267, 4092, 593, 519, 7532, 2427, 540, 519, 11769, 563, 2005, 568, 849, 519, 1034, 29245, 1327, 1275, 630, 29985, 21059, 264, 538, 6792, 267, 3677, 982, 8278, 622, 29347, 632, 2859, 32221, 610, 2871, 611, 531, 1690, 4673, 563, 30949, 543, 18513, 10160, 540, 570, 6359, 340, 3570, 27391, 1275, 267, 645, 24652, 4993, 267, 4092, 593, 519, 7414, 11076, 540, 6792, 563, 307, 6359, 340, 3570, 568, 519, 2034, 1034, 29245, 2749, 538, 6792, 543, 4099, 540, 519, 476, 277, 628, 28376, 1558, 549, 1858, 538, 6792, 267, 634, 2749, 568, 835, 540, 519, 16595, 21212, 1558, 549, 2127, 538, 519, 2197, 543, 15951, 607, 513, 834, 11947, 2672, 11797, 257, 2518, 2749, 676, 519, 32501, 543, 2622, 20079, 3194, 8416, 563, 5353, 520, 540, 623, 29301, 320, 27391, 1275, 563, 18455, 1312, 519, 8772, 4102, 2749, 538, 6792, 543, 519, 8772, 4102, 27062, 1858, 538, 6792, 267, 621, 814, 513, 1699, 2551, 540, 476, 274, 267, 7742, 267, 1822, 1004, 267, 543, 519, 2749, 5713, 607, 835, 540, 519, 1292, 32387, 585, 9456, 6239, 6792, 563, 22479, 1388, 543, 519, 4102, 2749, 540, 519, 11204, 25878, 1533, 540, 15616, 777, 553, 563, 763, 2749, 540, 16515, 868, 5055, 28066, 328, 2946, 337, 30959, 267, 609, 476, 276, 4281, 267, 279, 1789, 7264, 267, 568, 519, 476, 4029, 560, 1034, 20651, 2749, 538, 519, 2197, 563, 30949, 538, 519, 27040, 11204, 1533, 540, 570, 4821, 592, 760, 553, 267, 543, 519, 18513, 10160, 540, 519, 4630, 11345, 29109, 563, 12385, 600, 528, 657, 568, 519, 476, 4375, 628, 4102, 2749, 538, 6792, 543, 12979, 832, 519, 2034, 4102, 23195, 1858, 538, 570, 4821, 592, 760, 553, 563, 289, 4650, 2749, 538, 519, 7187, 851, 540, 519, 1533, 540, 570, 4821, 592, 760, 553, 267, 538, 6792, 563, 3725, 2106, 6242, 568, 519, 476, 1789, 628, 4102, 2749, 538, 6792, 543, 12979, 832, 519, 4102, 23195, 1858, 538, 570, 4821, 592, 760, 553, 563, 306, 629, 21590, 670, 10537, 2998, 568, 513, 2749, 543, 29109, 4092, 538, 519, 11204, 1533, 540, 715, 826, 17383, 2274, 11252, 563, 298, 340, 918, 12999, 918, 17427, 18559, 8270, 2456, 616, 6896, 2516, 602, 7110, 267, 855, 798, 711, 2047, 11753, 609, 519, 27173, 918, 12999, 918, 17427, 563, 2467, 616, 849, 6896, 27173, 918, 12999, 918, 17427, 7254, 794, 539, 25581, 11271, 2066, 519, 9533, 3262, 2429, 3864, 2477, 267, 538, 3943, 4211, 534, 3385, 267, 543, 11204, 4872, 269, 527, 24865, 538, 3013, 454, 300, 10129, 1275, 540, 519, 16816, 657, 5080, 3148, 540, 519, 1533, 540, 808, 531, 8646, 538, 6792, 563, 288, 8681, 553, 4481, 267, 568, 513, 8375, 15335, 585, 11082, 1813, 547, 922, 16133, 547, 2871, 611, 531, 1690, 4673, 267, 519, 1533, 3854, 543, 519, 18749, 28376, 2749, 538, 6792, 563, 19177, 628, 4102, 4884, 538, 543, 18513, 10160, 540, 519, 29109, 540, 570, 738, 527, 331, 17505, 4092, 538, 519, 27040, 851, 540, 519, 3557, 540, 631, 2946, 343, 4815, 538, 6792, 563, 2005, 814, 519, 11984, 540, 1373, 519, 1152, 29109, 538, 6792, 602, 814, 1079, 4872, 630, 29985, 885, 264, 540, 936, 476, 1911, 267, 1822, 2551, 630, 31807, 523, 822, 16695, 543, 5842, 623, 32631, 632, 15255, 6428, 21590, 1040, 0, 13563, 7510, 326, 3240, 695, 4319, 5013, 585, 3214, 454, 30022, 5013, 585, 3214, 13563, 7510, 326, 3240, 695, 4319, 454, 347, 13563, 7510, 326, 3240, 695, 4319, 2039, 2008, 763, 1977, 7510, 326, 3240, 695, 4319, 568, 519, 10545, 25850, 5065, 547, 3345, 3013, 269, 4706, 568, 827, 476, 276, 4699, 630, 273, 538, 264, 1279, 269, 898, 22179, 827, 476, 273, 269, 271, 547, 476, 275, 269, 276, 575, 630, 271, 269, 5881, 547, 476, 271, 269, 1626, 12063, 1040, 4706, 9663, 568, 26070, 610, 12457, 880, 6960, 1282, 519, 4832, 269, 898, 568, 3043, 3766, 2001, 1282, 519, 5162, 269, 898, 12387, 1206, 827, 1079, 2053, 513, 1032, 269, 898, 814, 513, 7522, 2212, 609, 513, 11329, 9224, 267, 543, 31953, 619, 269, 634, 4064, 616, 1507, 563, 5445, 616, 1336, 689, 8832, 14522, 267, 547, 519, 27743, 15142, 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 ]

[ 281, 554, 282, 849, 28484, 32162, 4700, 568, 513, 1770, 540, 942, 15007, 958, 22672, 19861, 607, 476, 272, 22397, 482, 2190, 540, 513, 1554, 543, 23963, 22672, 19861, 607, 476, 274, 267, 276, 4200, 1700, 274, 267, 31430, 7643, 267, 4470, 593, 2175, 269, 634, 12119, 267, 13796, 267, 610, 21376, 5662, 729, 3964, 538, 519, 3504, 14033, 5101, 607, 476, 272, 22397, 482, 1321, 540, 519, 3781, 610, 24817, 269, 6270, 3108, 9867, 676, 4005, 267, 20173, 267, 543, 4365, 269, 898, 729, 13604, 5258, 883, 476, 2568, 3764, 267, 1142, 540, 476, 2568, 7643, 269, 4706, 5101, 7489, 6697, 729, 519, 695, 328, 267, 799, 729, 476, 272, 22397, 482, 1321, 540, 519, 7805, 3859, 1554, 282, 513, 2147, 1062, 729, 5555, 2919, 538, 2342, 799, 6027, 922, 3160, 610, 1226, 3626, 551, 658, 5662, 607, 476, 272, 22397, 482, 2190, 540, 971, 2395, 6027, 689, 29869, 547, 29869, 269, 634, 5634, 7648, 540, 713, 1770, 941, 5555, 1159, 2393, 1117, 676, 1818, 621, 476, 272, 22397, 482, 2190, 540, 519, 1611, 3859, 1554, 267, 1759, 593, 519, 2268, 540, 519, 3141, 781, 18302, 2059, 519, 18477, 20337, 2864, 982, 2059, 519, 17772, 328, 10364, 269, 901, 729, 6368, 14460, 1813, 547, 519, 5634, 23646, 3361, 676, 519, 3047, 781, 23864, 632, 5120, 566, 676, 519, 9855, 269, 769, 519, 2413, 11973, 1062, 267, 3108, 616, 606, 7608, 1770, 540, 942, 3160, 547, 476, 274, 267, 7785, 7643, 855, 606, 5662, 540, 18509, 3990, 17629, 5384, 630, 7473, 290, 264, 949, 6451, 513, 2318, 610, 2942, 20014, 2034, 267, 1818, 621, 2063, 476, 274, 267, 276, 4200, 610, 476, 274, 267, 31430, 7643, 267, 538, 1931, 547, 1832, 621, 1369, 476, 271, 269, 280, 7643, 540, 8471, 942, 267, 799, 568, 1759, 593, 7403, 540, 519, 1611, 3859, 1554, 693, 476, 271, 4113, 29978, 563, 13356, 3547, 547, 25980, 7503, 3349, 454, 19350, 568, 519, 7503, 3349, 596, 666, 946, 547, 6460, 689, 5463, 3547, 547, 25980, 454, 347, 13356, 3547, 630, 20657, 1228, 10534, 295, 2293, 630, 15590, 10245, 347, 275, 1704, 5463, 3547, 1475, 18458, 29580, 876, 25980, 2008, 347, 275, 1240, 5463, 3547, 1475, 3607, 277, 12739, 876, 25980, 2008, 347, 275, 866, 5463, 3547, 1475, 3607, 278, 271, 4510, 876, 25980, 2008, 347, 22213, 5463, 3547, 1475, 3607, 278, 280, 736, 876, 25980, 2008, 347, 275, 2641, 5463, 3547, 1475, 3607, 279, 8064, 277, 876, 25980, 2008, 347, 32455, 5463, 3547, 1475, 3607, 280, 6858, 273, 876, 25980, 2008, 347, 275, 2537, 5463, 3547, 1475, 24907, 276, 4366, 876, 25980, 2008, 347, 275, 2190, 5463, 3547, 1475, 4391, 272, 275, 2190, 876, 25980, 2008, 347, 28883, 5463, 3547, 1475, 4391, 273, 4968, 876, 25980, 2008, 347, 275, 2918, 5463, 3547, 1475, 32699, 12293, 876, 25980, 2008, 21761, 4280, 2055, 547, 6460, 476, 275, 1626, 5463, 3547, 883, 25980, 454, 268, 1215, 1082, 25980, 616, 538, 476, 275, 1626, 5463, 3547, 888, 268, 476, 275, 1626, 5463, 3547, 11224, 875, 1082, 25980, 888, 268, 1215, 1082, 568, 476, 275, 1626, 5463, 3547, 538, 25980, 888, 268, 1548, 568, 476, 275, 1626, 5463, 3547, 538, 25980, 888, 268, 1215, 1454, 568, 476, 275, 1626, 5463, 3547, 538, 25980, 888, 268, 1215, 1082, 32162, 616, 538, 476, 275, 1626, 8717, 888, 268, 476, 275, 1626, 8717, 568, 3160, 547, 875, 1082, 32162, 888, 268, 1215, 1082, 568, 476, 275, 1626, 8717, 538, 32162, 888, 268, 1548, 568, 476, 275, 1626, 8717, 538, 32162, 888, 268, 1215, 1454, 568, 476, 275, 1626, 8717, 538, 32162, 286, 0, 289, 564, 1399, 12896, 4210, 532, 454, 289, 564, 1399, 12896, 4210, 532, 267, 4535, 3733, 337, 1479, 661, 767, 710, 12896, 630, 18550, 476, 1626, 267, 476, 6245, 274, 1107, 5181, 476, 272, 267, 476, 3422, 280, 1070, 729, 606, 1977, 17740, 656, 3411, 4048, 626, 563, 289, 564, 1399, 12896, 4210, 532, 454, 7069, 337, 1479, 661, 767, 710, 12896, 454, 18550, 476, 1626, 267, 476, 6245, 274, 454, 25238, 1221, 1475, 20826, 476, 272, 267, 476, 3422, 280, 263, 3042, 476, 10602, 10245, 347, 2704, 2742, 544, 831, 1475, 17206, 540, 14822, 2008, 2056, 538, 16028, 454, 305, 599, 12107, 12896, 4210, 532, 454, 289, 564, 1399, 12896, 15548, 538, 19506, 2621, 540, 519, 2021, 781, 2924, 3350, 538, 519, 2038, 547, 4571, 2389, 342, 12351, 2540, 269, 2701, 8678, 519, 2021, 779, 2924, 3350, 538, 476, 4489, 278, 543, 729, 13604, 795, 9229, 2947, 2053, 543, 4682, 593, 1079, 14000, 16716, 269, 1879, 1352, 729, 2366, 547, 17906, 547, 7903, 585, 519, 2063, 8917, 2877, 547, 3731, 1518, 519, 476, 866, 628, 17203, 267, 513, 2199, 11356, 9307, 267, 968, 8099, 623, 2432, 540, 12339, 514, 6541, 12231, 6490, 874, 529, 6100, 12634, 11356, 6589, 1419, 7074, 1200, 4482, 4369, 269, 2701, 7283, 3742, 585, 1082, 5756, 538, 2021, 779, 2924, 543, 824, 3123, 269, 769, 476, 4572, 272, 267, 12896, 9310, 1134, 8153, 5925, 6085, 1807, 31434, 12896, 4210, 532, 269, 2701, 29739, 602, 646, 1491, 1200, 2063, 2012, 607, 1134, 952, 1352, 729, 2921, 1010, 543, 2968, 5975, 1399, 12896, 4210, 532, 269, 634, 7008, 941, 519, 3237, 540, 1079, 14930, 543, 513, 8250, 269, 1358, 32682, 1027, 538, 476, 3707, 275, 563, 306, 4428, 14141, 11314, 267, 476, 4489, 278, 268, 4489, 280, 31171, 454, 5475, 4271, 908, 689, 519, 2160, 540, 14822, 267, 5975, 1399, 12896, 24389, 593, 513, 3942, 4876, 267, 799, 1352, 2451, 950, 1352, 3357, 7532, 547, 6443, 519, 2817, 19716, 781, 9549, 630, 301, 310, 303, 1070, 3366, 676, 7705, 6754, 269, 634, 32065, 303, 1185, 8237, 609, 824, 2021, 781, 27049, 2516, 936, 922, 1445, 593, 513, 13338, 17203, 10018, 532, 2021, 519, 1318, 547, 8917, 267, 607, 1134, 607, 593, 922, 10728, 12485, 269, 4033, 2516, 267, 12077, 519, 2817, 1977, 19716, 781, 22206, 14141, 5948, 267, 1185, 3710, 513, 1533, 676, 1533, 27049, 4640, 543, 10353, 519, 32065, 303, 781, 13389, 540, 5518, 14355, 543, 24273, 607, 1134, 607, 922, 4584, 7566, 4674, 563, 763, 2817, 19716, 781, 9549, 3459, 922, 4584, 7566, 540, 519, 6519, 5600, 538, 5130, 476, 4489, 278, 269, 769, 4728, 540, 602, 1032, 267, 936, 835, 8536, 2021, 3576, 851, 269, 1635, 4873, 267, 519, 6519, 5600, 4956, 547, 10654, 519, 4584, 4394, 269, 4595, 8066, 4191, 568, 711, 10363, 267, 519, 2021, 18796, 547, 917, 519, 2601, 585, 741, 10654, 269, 634, 22638, 5279, 729, 29572, 532, 6808, 269, 8409, 10997, 941, 25323, 543, 1100, 4693, 729, 4371, 269, 1809, 513, 1007, 4806, 1185, 13175, 910, 519, 2021, 4584, 4394, 941, 711, 15658, 1042, 269, 16270, 741, 5305, 267, 789, 4682, 2786, 1394, 547, 4584, 7566, 519, 6519, 5600, 543, 941, 18486, 1586, 269, 589, 4395, 2985, 8666, 538, 519, 4634, 532, 17650, 2317, 540, 5842, 17630, 16004, 519, 1309, 1632, 267, 834, 29910, 814, 1336, 602, 519, 1152, 1259, 547, 1832, 513, 4584, 564, 2476, 689, 519, 6519, 5600, 568, 547, 2322, 1200, 538, 21569, 1701, 901, 942, 519, 4584, 4394, 941, 1336, 16944, 540, 29572, 532, 6808, 543, 535, 1441, 1269, 1839, 610, 476, 274, 2395, 538, 21569, 269, 634, 2021, 15189, 547, 2628, 519, 5386, 269, 589, 4028, 15583, 566, 4553, 2394, 519, 6205, 540, 519, 32065, 303, 267, 7705, 6754, 729, 30992, 547, 476, 278, 3275, 538, 21569, 269, 5975, 1399, 543, 1200, 11078, 267, 7705, 12896, 267, 543, 476, 4375, 1866, 941, 795, 9229, 585, 29572, 532, 6808, 593, 5437, 476, 1015, 267, 476, 4489, 278, 282, 602, 4584, 564, 729, 851, 540, 513, 13889, 540, 7705, 6754, 781, 4845, 269, 634, 5279, 540, 29572, 532, 6808, 729, 4922, 6956, 607, 513, 695, 600, 910, 519, 14822, 1014, 11356, 5693, 7150, 607, 1454, 538, 606, 2376, 8720, 519, 12896, 19946, 262, 10654, 269, 769, 519, 1482, 2376, 267, 5975, 1399, 729, 20926, 607, 6031, 267, 834, 296, 993, 2469, 547, 7890, 585, 519, 27049, 2013, 267, 609, 519, 2407, 1702, 602, 594, 723, 8149, 1100, 25213, 4799, 21156, 540, 1373, 2366, 547, 519, 2199, 21569, 267, 519, 5437, 476, 1015, 628, 4584, 4394, 941, 2366, 547, 519, 12769, 13228, 534, 4518, 5264, 538, 9098, 267, 1141, 519, 31852, 941, 7142, 547, 798, 7890, 4074, 269, 9710, 12288, 2175, 5185, 519, 2021, 538, 519, 960, 5264, 910, 789, 941, 29041, 267, 6854, 538, 10072, 267, 543, 2016, 678, 4545, 573, 1426, 269, 2991, 1373, 15189, 6284, 607, 2797, 14586, 267, 519, 2021, 10294, 513, 14000, 10880, 269, 634, 3401, 540, 519, 32065, 303, 267, 1519, 7705, 6754, 267, 941, 3196, 10480, 269, 634, 12896, 19946, 941, 5950, 1310, 476, 1704, 2395, 538, 21569, 267, 2059, 609, 476, 2420, 824, 14000, 4174, 24329, 267, 4352, 789, 1185, 1044, 30992, 547, 476, 1789, 2395, 563, 763, 10654, 338, 543, 14000, 10880, 941, 4922, 4988, 538, 14786, 2066, 519, 2197, 543, 5975, 1399, 729, 12286, 30326, 269, 634, 14822, 1014, 7074, 602, 267, 676, 519, 942, 789, 941, 5950, 267, 5975, 1399, 543, 7705, 1185, 4503, 476, 1321, 543, 476, 866, 7273, 6606, 269, 1809, 741, 10654, 338, 543, 2192, 2389, 13015, 1705, 711, 15658, 519, 717, 2449, 610, 519, 824, 4584, 4394, 267, 945, 3136, 2046, 1005, 5518, 14355, 543, 6837, 547, 1491, 909, 513, 13338, 17203, 26587, 2021, 519, 1318, 547, 8917, 269, 769, 5130, 476, 4489, 280, 267, 5975, 1399, 12896, 729, 835, 540, 1079, 2366, 1845, 3544, 519, 6519, 5600, 7555, 9856, 936, 513, 13755, 13933, 538, 799, 789, 14616, 5518, 14355, 781, 18531, 269, 634, 1985, 3923, 1352, 729, 18486, 538, 11785, 950, 476, 2641, 2818, 540, 519, 2817, 19716, 781, 9549, 10356, 538, 4395, 540, 519, 3557, 5600, 609, 27049, 536, 22395, 269, 1358, 941, 972, 547, 13889, 5518, 14355, 781, 12625, 538, 11785, 269, 634, 2021, 941, 18486, 950, 789, 15189, 547, 16783, 609, 7128, 9753, 547, 1847, 269, 769, 11356, 6589, 267, 5975, 1399, 729, 2206, 1194, 856, 607, 5706, 532, 10654, 543, 1185, 547, 581, 834, 331, 26661, 15629, 257, 883, 519, 7128, 530, 6782, 563, 5475, 2789, 8942, 998, 476, 4489, 279, 543, 519, 4098, 540, 476, 4489, 280, 267, 593, 4873, 476, 275, 267, 476, 4489, 280, 267, 6837, 6368, 5293, 519, 715, 12078, 14821, 547, 519, 2136, 2276, 9139, 26587, 2021, 519, 1318, 547, 8917, 267, 533, 2056, 3731, 2305, 676, 519, 2829, 269, 5975, 1399, 12896, 543, 519, 2817, 19716, 781, 9549, 3533, 17146, 741, 3646, 689, 519, 6519, 5600, 547, 519, 2829, 269, 5975, 1399, 2968, 513, 6205, 538, 519, 3731, 2305, 5859, 267, 2324, 538, 1715, 14948, 267, 12590, 267, 26609, 267, 4639, 9098, 267, 17906, 267, 543, 824, 2829, 269, 769, 5130, 476, 4572, 271, 267, 3411, 4048, 1235, 17204, 513, 1715, 14948, 22275, 31558, 3350, 602, 1131, 723, 2322, 519, 2243, 540, 3731, 2305, 2047, 547, 17037, 269, 26609, 2968, 606, 1271, 6370, 3033, 1533, 267, 609, 606, 3742, 4550, 1606, 4428, 14141, 3350, 269, 4340, 547, 519, 11785, 670, 14283, 267, 519, 32065, 303, 2366, 922, 834, 2865, 4810, 3731, 2305, 5859, 619, 257, 972, 267, 1519, 5975, 1399, 12896, 269, 769, 4873, 476, 4572, 271, 267, 3411, 4048, 1235, 4584, 9643, 519, 17044, 2817, 13482, 538, 9628, 267, 15691, 547, 2604, 519, 17044, 23328, 540, 26609, 543, 17044, 1827, 832, 540, 21086, 543, 28599, 585, 741, 5821, 547, 3731, 1518, 519, 17203, 269, 634, 25350, 30577, 20958, 518, 267, 8720, 519, 15007, 267, 4330, 5975, 1399, 12896, 607, 834, 9767, 978, 267, 642, 643, 20160, 267, 543, 7168, 257, 543, 26518, 519, 20538, 5374, 21569, 7450, 1352, 20595, 607, 513, 6089, 8930, 267, 29544, 1200, 942, 538, 21569, 585, 519, 2014, 540, 2021, 781, 27049, 269, 634, 32065, 303, 1705, 711, 4584, 564, 519, 14891, 2817, 13482, 538, 5842, 12770, 563, 1103, 5147, 476, 4572, 271, 267, 5975, 1399, 12896, 729, 593, 1200, 1259, 547, 17906, 547, 7001, 519, 476, 3607, 628, 267, 543, 2063, 267, 1533, 2877, 585, 3731, 2305, 269, 4173, 554, 32528, 1957, 267, 519, 14822, 1014, 267, 26906, 1200, 593, 1200, 960, 547, 1205, 2021, 519, 1318, 547, 8917, 269, 5975, 1399, 1767, 267, 834, 296, 8678, 519, 4584, 564, 1895, 1317, 594, 7691, 27049, 729, 693, 513, 1796, 560, 650, 543, 8259, 1945, 10565, 729, 2944, 267, 4986, 1223, 581, 12913, 1701, 269, 2201, 4864, 476, 1240, 267, 476, 4572, 271, 267, 17906, 2968, 519, 476, 3607, 628, 1533, 547, 3731, 1518 ]

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

[ 2488, 2963, 540, 1059, 781, 32408, 543, 1010, 17418, 547, 1852, 1010, 4664, 269, 5131, 4647, 6119, 2433, 3662, 11052, 538, 4622, 1059, 7824, 4688, 607, 7824, 4528, 540, 3662, 11052, 538, 4622, 1059, 269, 10960, 11052, 4667, 547, 581, 835, 540, 519, 17888, 1603, 6163, 540, 4622, 1059, 676, 13275, 12335, 543, 513, 8265, 8364, 3957, 7287, 676, 512, 16612, 13275, 338, 1312, 24420, 23412, 17814, 3197, 998, 519, 7180, 267, 8456, 543, 6208, 540, 3662, 538, 1931, 547, 2417, 1174, 3197, 543, 741, 7592, 269, 1548, 2306, 621, 9808, 9853, 609, 13357, 568, 1010, 3765, 15105, 540, 1480, 2470, 1492, 2375, 633, 946, 538, 540, 4622, 3662, 11052, 1059, 14646, 524, 1247, 519, 4998, 1143, 540, 519, 1866, 568, 711, 543, 519, 4412, 699, 526, 585, 1059, 568, 543, 519, 811, 1065, 14601, 3954, 714, 839, 540, 519, 7297, 945, 814, 1100, 11029, 1399, 538, 1480, 1894, 32716, 543, 32716, 609, 1010, 1544, 585, 12270, 1010, 10806, 563, 3412, 698, 2044, 538, 4622, 1059, 281, 606, 3239, 1797, 513, 2790, 4605, 998, 1913, 11052, 666, 581, 3989, 607, 606, 1148, 538, 799, 519, 3615, 543, 7907, 540, 2631, 519, 1655, 658, 610, 3662, 11052, 568, 14356, 2966, 547, 1397, 812, 781, 1747, 538, 519, 5832, 540, 1373, 267, 543, 3142, 856, 519, 1016, 25993, 2470, 540, 9409, 1915, 269, 589, 2347, 3391, 547, 3662, 11052, 538, 4622, 1059, 269, 476, 280, 4622, 1059, 1299, 7092, 281, 519, 18354, 540, 2025, 2085, 1059, 2306, 513, 2462, 12161, 910, 646, 3947, 909, 1010, 17599, 267, 855, 1869, 26770, 547, 581, 5701, 607, 3532, 476, 1691, 30279, 543, 3765, 1348, 2470, 519, 17282, 540, 9409, 3197, 1522, 1291, 721, 547, 1745, 602, 2470, 568, 513, 16970, 3196, 538, 4622, 1059, 269, 10960, 11052, 568, 1031, 547, 7866, 519, 1883, 6249, 540, 678, 3578, 1652, 1379, 519, 7681, 540, 16891, 518, 559, 543, 1036, 534, 609, 581, 6814, 540, 10352, 9356, 593, 741, 7542, 665, 1190, 3662, 2470, 267, 741, 3668, 540, 8103, 543, 741, 796, 11499, 28877, 269, 9956, 3096, 3662, 11052, 538, 4622, 1059, 547, 5815, 519, 796, 11499, 1145, 540, 513, 1915, 781, 2623, 543, 24242, 1996, 3237, 1034, 540, 891, 2592, 9446, 2470, 607, 30380, 543, 4608, 2130, 8204, 519, 6668, 540, 519, 3514, 11687, 950, 1059, 14753, 547, 1036, 534, 827, 16891, 518, 559, 781, 10182, 267, 646, 563, 3412, 698, 2044, 32416, 11052, 12335, 781, 4622, 1059, 568, 5393, 2407, 609, 32416, 267, 5075, 267, 543, 21901, 11052, 607, 513, 2339, 540, 1249, 519, 21901, 8957, 5075, 6249, 8255, 19856, 656, 2429, 519, 1650, 4622, 1059, 5956, 1010, 3460, 607, 513, 812, 945, 568, 9420, 1317, 646, 3112, 1294, 3564, 519, 16995, 269, 634, 946, 540, 3662, 11052, 538, 4622, 1059, 19430, 10404, 575, 321, 554, 28207, 547, 2328, 267, 621, 568, 607, 952, 12335, 24714, 547, 9446, 513, 1158, 538, 799, 1034, 2367, 543, 2021, 616, 581, 6814, 267, 543, 1152, 519, 11108, 1906, 1496, 732, 4628, 1480, 316, 268, 326, 321, 554, 28207, 267, 1196, 12335, 281, 519, 2347, 1568, 269, 29526, 270, 19960, 2044, 270, 4150, 326, 800, 538, 4622, 1059, 519, 7088, 630, 19960, 2044, 264, 20627, 2887, 2329, 281, 676, 9117, 3352, 22529, 2225, 267, 1059, 607, 513, 4622, 543, 1287, 607, 513, 4651, 519, 1655, 658, 270, 534, 2711, 11052, 568, 14356, 2966, 547, 1397, 812, 781, 1747, 538, 519, 5832, 540, 1373, 267, 543, 3142, 856, 519, 1016, 25993, 2470, 540, 9409, 1915, 269, 769, 4622, 1059, 267, 12335, 3096, 3662, 11052, 547, 2303, 602, 2367, 723, 1360, 2370, 1379, 936, 741, 1378, 535, 919, 543, 547, 11168, 519, 13438, 540, 930, 540, 1010, 1034, 563, 21914, 1059, 568, 513, 13357, 827, 513, 812, 781, 2887, 689, 15438, 1222, 547, 32408, 4622, 1059, 5134, 805, 338, 1010, 21836, 8250, 267, 10260, 20782, 267, 543, 568, 1287, 20729, 539, 676, 1010, 1079, 519, 3662, 11052, 1459, 538, 713, 561, 3512, 566, 568, 11342, 2429, 519, 1404, 12335, 3096, 713, 14953, 547, 2263, 812, 781, 3662, 2065, 2470, 269, 634, 3662, 11052, 538, 4622, 1059, 3746, 2478, 602, 1480, 7919, 1419, 2887, 2110, 540, 741, 5601, 3766, 1508, 1909, 543, 1932, 1419, 4159, 4162, 630, 322, 745, 601, 1399, 267, 1286, 2522, 13821, 3092, 264, 7357, 2067, 538, 2831, 855, 2808, 20025, 538, 3425, 269, 8281, 23407, 540, 3662, 11052, 538, 4622, 1059, 1142, 824, 519, 7350, 540, 519, 1480, 3662, 4647, 2433, 3662, 11052, 538, 4622, 1059, 269, 3751, 1059, 568, 513, 476, 2735, 278, 4670, 9859, 676, 795, 6756, 2000, 1075, 5601, 731, 267, 606, 9542, 540, 13275, 12335, 781, 1404, 538, 519, 2511, 540, 8097, 18008, 1007, 5951, 21576, 519, 7097, 729, 5097, 676, 533, 2678, 6133, 1513, 543, 9723, 561, 28854, 267, 543, 729, 8385, 8655, 547, 2343, 534, 13875, 518, 563, 11847, 6974, 725, 540, 2470, 538, 12335, 781, 4622, 1059, 521, 23022, 1810, 322, 2120, 519, 1523, 540, 2470, 538, 12335, 781, 4622, 1059, 476, 272, 568, 711, 3274, 835, 540, 1082, 4798, 547, 581, 20114, 543, 21845, 267, 855, 2864, 621, 666, 581, 2808, 547, 581, 519, 5748, 540, 519, 2898, 1404, 269, 3751, 1059, 281, 4359, 26294, 4967, 13275, 12335, 707, 1863, 12744, 540, 26294, 4967, 7132, 266, 1412, 6362, 1059, 281, 4359, 262, 814, 1163, 1600, 2901, 6718, 2630, 267, 610, 4945, 593, 519, 3381, 2630, 547, 1451, 811, 269, 9956, 10525, 891, 3662, 2592, 950, 4622, 1059, 543, 1082, 540, 519, 824, 3197, 538, 519, 1404, 2911, 827, 16891, 518, 559, 543, 1036, 534, 4622, 1059, 849, 8292, 593, 1010, 20766, 3824, 7806, 3363, 1210, 3662, 11052, 950, 646, 1767, 267, 875, 5857, 704, 982, 513, 1583, 335, 757, 5694, 621, 568, 547, 723, 513, 9684, 1652, 1126, 269, 10312, 593, 2831, 543, 3662, 11052, 607, 6698, 1369, 4622, 1059, 3442, 835, 540, 1059, 781, 20766, 547, 13404, 593, 538, 707, 2079, 267, 543, 2328, 606, 1557, 827, 875, 713, 1915, 14753, 540, 2831, 610, 269, 0, 5649, 713, 1557, 593, 875, 4984, 5784, 32270, 713, 14235, 814, 3361, 606, 909, 549, 541, 540, 3909, 17600, 540, 28305, 338, 543, 741, 19824, 267, 609, 3909, 9439, 19101, 1346, 945, 957, 593, 28305, 4555, 616, 22867, 5609, 543, 786, 581, 17792, 13675, 547, 13140, 269, 15486, 540, 32270, 7508, 1568, 11855, 1018, 4010, 568, 513, 28305, 621, 568, 513, 1268, 16770, 13631, 547, 513, 1268, 540, 741, 1378, 3023, 1946, 798, 1004, 1831, 28305, 338, 713, 568, 513, 2243, 602, 814, 1044, 4280, 2479, 2094, 519, 1101, 28305, 1268, 3357, 856, 540, 519, 5008, 564, 269, 13067, 26557, 281, 2470, 610, 20741, 678, 12505, 546, 795, 28427, 32414, 476, 1789, 267, 476, 1220, 274, 538, 2487, 5756, 267, 1082, 3905, 569, 23503, 3584, 723, 2097, 896, 519, 22987, 540, 519, 1699, 7521, 568, 2436, 610, 711, 32270, 568, 513, 1267, 540, 2470, 281, 513, 1268, 781, 1604, 543, 10450, 267, 610, 540, 1010, 7350, 543, 11976, 563, 4322, 1016, 2389, 1335, 525, 1331, 909, 32523, 543, 2486, 267, 1995, 540, 4984, 543, 519, 4655, 1063, 22344, 640, 543, 32270, 519, 2034, 851, 540, 2079, 4025, 8561, 593, 519, 3604, 538, 875, 1004, 1174, 4984, 267, 799, 5540, 741, 5784, 593, 32270, 269, 14358, 593, 32270, 4043, 711, 547, 581, 513, 3119, 6161, 538, 521, 16554, 10752, 267, 607, 519, 8471, 3804, 540, 513, 521, 16554, 568, 547, 723, 1100, 13842, 610, 1918, 13920, 547, 1022, 972, 568, 1100, 2582, 4013, 2990, 593, 32270, 538, 512, 7776, 1143, 267, 607, 519, 2165, 512, 7776, 1143, 568, 1031, 547, 4766, 513, 1297, 540, 19635, 3909, 5389, 269, 16241, 10752, 267, 5132, 543, 2853, 782, 1860, 519, 1259, 1004, 1589, 543, 3337, 741, 8369, 519, 3310, 540, 4984, 3112, 581, 19765, 13846, 2523, 538, 8456, 2509, 32270, 649, 3379, 713, 547, 741, 2070, 593, 32270, 630, 335, 11823, 1412, 339, 770, 525, 262, 610, 8369, 264, 538, 1931, 547, 1294, 875, 741, 269, 1215, 798, 3909, 1004, 2070, 32270, 543, 875, 1281, 713, 1860, 13919, 538, 2489, 950, 849, 3168, 693, 3872, 2360, 543, 3084, 4031, 543, 4507, 267, 713, 1957, 2501, 547, 519, 3932, 602, 4984, 519, 6708, 547, 799, 513, 4984, 7106, 549, 1407, 540, 32270, 666, 4268, 5393, 563, 16391, 1242, 4984, 568, 513, 22294, 540, 5289, 2146, 543, 2528, 1472, 519, 1158, 4984, 267, 2523, 3909, 2069, 267, 849, 24643, 16712, 1489, 1317, 1082, 3494, 602, 4984, 11942, 13919, 269, 476, 276, 32270, 267, 4008, 543, 4984, 936, 519, 2250, 1079, 5756, 267, 972, 814, 1044, 513, 10565, 2333, 538, 1857, 10343, 540, 538, 5784, 540, 2591, 6849, 2021, 267, 513, 5354, 540, 22988, 2161, 2021, 3136, 547, 13720, 9465, 602, 1118, 621, 811, 2352, 585, 873, 547, 1205, 6619, 982, 2367, 269, 1306, 27352, 11262, 3909, 8369, 540, 32270, 609, 873, 267, 5238, 267, 789, 723, 519, 2702, 547, 17401, 5103, 602, 6644, 1373, 2318, 610, 3885, 602, 1920, 781, 267, 1247, 1419, 14436, 540, 741, 9619, 713, 1888, 10924, 602, 741, 5784, 593, 519, 1888, 267, 1185, 2370, 1198, 593, 519, 269, 13067, 26557, 568, 513, 3339, 2460, 540, 1480, 2623, 267, 543, 1058, 711, 581, 9763, 607, 1945, 513, 519, 3656, 4567, 602, 6927, 538, 519, 8087, 2829, 568, 519, 3540, 4567, 267, 711, 519, 3909, 835, 9992, 11189, 4332, 1931, 1198, 2090, 3100, 547, 1397, 513, 1713, 2333, 538, 519, 10171, 540, 1373, 14447, 519, 811, 563, 295, 558, 26557, 1522, 581, 14356, 9141, 676, 513, 3993, 781, 4761, 3210, 547, 1200, 5256, 21565, 30147, 4679, 609, 1142, 5067, 1352, 814, 269, 16241, 909, 32523, 543, 2528, 5540, 3928, 540, 32270, 519, 1433, 1250, 6090, 1500, 803, 798, 621, 910, 513, 3621, 1413, 693, 4638, 10066, 267, 1071, 2246, 23482, 676, 1979, 32554, 626, 1743, 683, 559, 3043, 3650, 543, 1010, 7385, 267, 5856, 536, 686, 541, 3043, 3650, 563, 763, 2360, 540, 6090, 593, 7180, 616, 1360, 9940, 1317, 6090, 1118, 5946, 267, 711, 7375, 519, 3621, 5168, 568, 602, 938, 6090, 798, 711, 3196, 721, 883, 4376, 6090, 616, 3743, 585, 606, 9940, 3310, 267, 855, 593, 3328, 267, 789, 798, 711, 3196, 1004, 883, 32270, 519, 1376, 1782, 3932, 568, 269, 9282, 1367, 2818, 540, 3909, 3906, 3180, 18312, 5784, 593, 32270, 267, 1034, 3909, 5238, 8362, 3954, 8784, 32270, 607, 1373, 606, 796, 11499, 1272, 2511, 543, 840, 778, 519, 1699, 1353, 1058, 6542, 513, 1713, 1764, 593, 28305, 4978, 1813, 547, 2538, 6685, 269, 2201, 12311, 11888, 267, 1775, 3370, 513, 4062, 11093, 930, 540, 519, 16620, 585, 519, 27337, 4328, 3928, 540, 561, 326, 23336, 6107, 26683, 543, 29047, 21274, 593, 519, 15061, 22344, 13039, 602, 616, 9870, 741, 1453, 538, 513, 5233, 1227, 4630, 2684, 11131, 1604, 602, 711, 1152, 27313, 3278, 741, 32270, 607, 5609, 995, 563, 9824, 16406, 2516, 723, 3254, 513, 2647, 2039, 540, 6547, 547, 721, 18678, 519, 3113, 2982, 519, 3210, 547, 519, 15194, 543, 849, 519, 2489, 10343, 540, 32270, 713, 2034, 15861, 569, 268, 1778, 11312, 23469, 3113, 16034, 936, 476, 2412, 3909, 2516, 593, 741, 2818, 262, 5784, 540, 32270, 269, 6480, 23660, 540, 32270, 267, 2705, 267, 538, 1978, 5468, 899, 30813, 786, 581, 2362, 1317, 540, 32638, 32270, 267, 610, 28305, 2623, 538, 519, 9000, 540, 6587, 13001, 16303, 4891, 1344, 593, 536, 1047, 23595, 568, 1256, 1447, 2139, 1317, 865, 1082, 3173, 5581, 536, 1047, 23595, 607, 513, 269, 16241, 5784, 4268, 593, 32270, 543, 14447, 7365, 1934, 616, 25135, 32718, 540, 875, 2101, 3909, 29559, 2232, 519, 3390, 281, 10198, 540, 5601, 519, 952, 28305, 338, 29875, 519, 1876, 540, 669, 770, 640, 543, 519, 5837, 4441, 540, 519, 5939, 267, 1287, 789, 616, 1641, 547, 519, 9015, 540, 519, 5939, 269, 13067, 26557, 1281, 711, 1860, 938, 2486, 1775, 8885, 993, 25251, 543, 621, 781, 711, 9292, 1154, 4896, 10636, 18400, 338, 1810, 1405, 1860, 938, 2486, 267, 865, 1946, 1058, 28305, 338, 649, 4755, 547, 2648, 7606, 540, 519, 1482, 3023, 855, 945, 649, 2648, 568, 938, 1870, 1175, 607, 649, 4734, 945, 513, 10636, 334, 14560, 607, 741, 1870, 563, 10303, 789, 5156, 602, 32270, 568, 811, 540, 513, 2068, 982, 513, 5609, 7064, 547, 1954, 644, 538, 519, 2038, 476, 5002, 271, 338, 267, 1954, 644, 10645, 602, 3025, 729, 4535, 25251, 1775, 1589, 596, 1118, 606, 4277, 1448, 827, 519, 1860, 540, 1954, 644, 781, 6436, 593, 14920, 1018, 6770, 547 ]

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

[ 782, 707, 2828, 6410, 883, 707, 8378, 2394, 1169, 2777, 729, 4904, 909, 1107, 602, 1131, 1831, 3833, 22125, 267, 9327, 1405, 621, 286, 2334, 781, 2147, 547, 1018, 4523, 950, 1082, 1004, 4734, 6917, 2127, 630, 12248, 787, 2515, 264, 543, 1847, 547, 4872, 3168, 585, 1732, 3255, 267, 6009, 267, 2069, 267, 543, 2533, 269, 901, 1184, 568, 1572, 20012, 780, 3086, 267, 1577, 781, 4685, 883, 930, 4241, 5013, 1384, 272, 269, 2878, 294, 5050, 5288, 269, 570, 4176, 18831, 5093, 4000, 4805, 14747, 1312, 9649, 6082, 971, 607, 5527, 267, 18629, 267, 543, 13280, 910, 1142, 2348, 5458, 5095, 2673, 547, 610, 936, 476, 1911, 2929, 11317, 282, 543, 11212, 4620, 924, 3283, 899, 1290, 528, 657, 267, 4144, 329, 321, 719, 328, 267, 15729, 7638, 1372, 267, 681, 2946, 684, 542, 267, 2904, 582, 974, 267, 590, 14244, 8751, 2946, 543, 2398, 27713, 10360, 267, 1530, 26338, 3559, 956, 799, 723, 7864, 982, 476, 272, 2929, 7264, 269, 2052, 596, 3494, 602, 286, 3807, 4952, 6972, 998, 14297, 595, 23879, 3379, 547, 588, 13764, 1472, 12560, 15117, 267, 10067, 2946, 6532, 538, 1530, 26338, 3559, 956, 2439, 273, 269, 2878, 305, 2358, 267, 853, 762, 267, 21826, 569, 12096, 532, 674, 19910, 26162, 5093, 2368, 3979, 2477, 899, 27988, 807, 267, 5527, 267, 31512, 807, 267, 543, 1530, 26338, 3559, 956, 1869, 1294, 2810, 2338, 540, 24570, 269, 11531, 267, 824, 4025, 1519, 20787, 3711, 1664, 267, 19010, 22096, 267, 13280, 2059, 609, 1896, 1866, 1995, 3500, 11081, 269, 1809, 1287, 972, 616, 1346, 7680, 4028, 20214, 538, 1126, 321, 597, 2195, 267, 971, 607, 18629, 267, 32678, 267, 15057, 267, 5689, 25596, 267, 543, 23683, 2274, 821, 256, 1548, 1281, 713, 1611, 286, 4270, 267, 3885, 1934, 3442, 547, 723, 4130, 10820, 1813, 547, 4824, 1569, 547, 3782, 543, 2069, 780, 274, 269, 2878, 2750, 1061, 1308, 4400, 674, 19910, 26162, 5093, 589, 1906, 2189, 9634, 2291, 1141, 2021, 2285, 4332, 547, 811, 982, 3670, 9002, 1282, 741, 10715, 267, 12077, 20997, 267, 28950, 807, 267, 932, 611, 267, 19010, 22096, 267, 543, 5689, 328, 269, 14424, 602, 547, 31512, 807, 543, 24381, 527, 3780, 267, 1141, 11570, 1904, 585, 17646, 1512, 3885, 693, 610, 2630, 1412, 516, 10293, 1377, 10086, 2495, 1079, 3237, 5372, 2933, 1510, 1022, 2333, 538, 2551, 780, 3383, 1946, 798, 1004, 22109, 286, 2913, 803, 2995, 596, 513, 1650, 1862, 20821, 8861, 267, 945, 2729, 538, 513, 1507, 8230, 12505, 8498, 269, 2701, 6499, 1200, 3214, 547, 979, 547, 1153, 543, 1205, 1434, 6009, 14693, 269, 10251, 267, 3506, 7404, 5749, 1405, 865, 1390, 267, 543, 2816, 16548, 616, 3908, 269, 1924, 1352, 24502, 1200, 11435, 543, 7575, 547, 715, 23879, 6798, 267, 15691, 585, 513, 17321, 2104, 585, 1200, 1920, 269, 4173, 3460, 4564, 6634, 540, 2043, 5001, 5275, 1007, 20297, 538, 1114, 4525, 610, 4872, 780, 1103, 3932, 267, 20012, 543, 9194, 3337, 938, 1158, 3648, 267, 2523, 538, 3384, 543, 6932, 2477, 269, 4658, 2951, 1279, 9883, 10478, 585, 1585, 1919, 267, 4657, 519, 3068, 540, 2950, 11014, 269, 4197, 891, 5322, 2337, 721, 5660, 4763, 267, 6536, 6568, 267, 543, 1628, 6793, 4296, 1063, 4529, 543, 7239, 269, 1656, 3314, 267, 2436, 596, 30339, 689, 513, 30832, 1782, 1558, 24227, 610, 18241, 24781, 267, 3025, 814, 2984, 4502, 4687, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5591, 2489, 3948, 827, 3979, 1629, 2762, 568, 3020, 269, 634, 8390, 538, 519, 11782, 568, 1932, 1390, 563, 22152, 320, 2221, 2882, 9649, 2477, 609, 5095, 2282, 610, 23630, 476, 1911, 2929, 630, 292, 5118, 267, 18629, 267, 13280, 264, 543, 6263, 2477, 609, 5095, 896, 476, 272, 2929, 630, 4467, 528, 657, 267, 30622, 756, 719, 328, 267, 16410, 334, 7638, 1372, 267, 1234, 684, 542, 267, 2904, 582, 974, 267, 590, 7776, 570, 727, 543, 11010, 10360, 267, 1530, 26338, 3559, 956, 1040, 898, 2882, 2477, 1141, 12680, 568, 8375, 630, 2704, 3455, 807, 267, 5527, 267, 31512, 807, 267, 1530, 26338, 3559, 956, 1070, 2477, 1141, 12680, 568, 1164, 855, 7123, 267, 9991, 676, 1447, 982, 476, 272, 260, 829, 1032, 630, 300, 9926, 3711, 1664, 267, 519, 14891, 6243, 540, 519, 22096, 267, 13280, 267, 543, 4557, 1866, 1070, 543, 2477, 1141, 12680, 568, 1164, 855, 9991, 1360, 6385, 267, 476, 273, 269, 276, 260, 829, 1032, 610, 811, 630, 20685, 11340, 807, 267, 32678, 267, 15057, 267, 5689, 25596, 267, 543, 23683, 2274, 821, 1040, 898, 849, 2882, 2477, 1141, 12680, 3928, 616, 24215, 1164, 267, 23630, 3670, 1453, 829, 4807, 630, 301, 9528, 267, 28950, 807, 267, 932, 611, 267, 667, 13612, 267, 5689, 328, 264, 543, 2477, 1141, 12680, 814, 15468, 547, 10682, 2157, 630, 273, 269, 272, 264, 610, 2630, 630, 307, 684, 529, 807, 267, 24381, 527, 3780, 1040, 16316, 2551, 2208, 3731, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31413, 1436, 543, 24779, 257, 607, 851, 540, 834, 24719, 13316, 1315, 15043, 1299, 24021, 18831, 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, 8080, 547, 519, 1158, 540, 6138, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 513, 2731, 3579, 3350, 1572, 7647, 2880, 1143, 602, 3323, 1282, 519, 5664, 12698, 269, 898, 1522, 3280, 899, 513, 16681, 2262, 267, 855, 1810, 1405, 5855, 910, 621, 781, 2965, 3833, 4277, 2899, 596, 1205, 547, 917, 621, 2439, 5331, 2713, 538, 10120, 2053, 950, 1004, 4769, 1405, 723, 16389, 267, 24195, 267, 610, 1256, 2835, 899, 649, 798, 2221, 269, 1358, 941, 8049, 827, 519, 1158, 1472, 873, 267, 1175, 899, 721, 267, 855, 789, 4769, 1405, 723, 782, 519, 4267, 693, 741, 31840, 269, 1924, 267, 5640, 1394, 1287, 6836, 547, 1174, 1919, 676, 7234, 2462, 2093, 543, 6998, 2055, 269, 2334, 781, 1018, 7647, 2880, 1143, 568, 782, 827, 2439, 3086, 267, 1577, 803, 2995, 596, 513, 1650, 547, 948, 2491, 713, 1523, 1732, 13718, 5629, 2390, 513, 942, 267, 972, 729, 513, 8797, 14544, 3957, 7338, 13985, 21590, 945, 5030, 1282, 519, 17623, 5664, 12698, 269, 1261, 6068, 1565, 1007, 1919, 543, 4941, 547, 2671, 1010, 1702, 609, 1866, 269, 2290, 1554, 267, 646, 4280, 5128, 267, 834, 1432, 2306, 1945, 1318, 610, 4636, 8119, 1677, 1265, 519, 2626, 267, 646, 6594, 1114, 8369, 267, 23503, 609, 2828, 267, 543, 5206, 1524, 1010, 4555, 269, 1635, 3257, 713, 267, 646, 2813, 513, 1062, 540, 3206, 1634, 607, 7849, 4521, 269, 4340, 547, 1864, 267, 930, 3652, 4019, 10876, 1317, 789, 2097, 689, 1480, 2470, 1107, 602, 781, 1946, 649, 1289, 621, 1412, 11499, 9538, 692, 24171, 7012, 1405, 4805, 282, 1082, 13085, 8186, 8329, 547, 7647, 2880, 1143, 2429, 519, 5553, 269, 1280, 1383, 267, 1323, 1088, 332, 540, 2052, 26248, 267, 1776, 16159, 689, 519, 1482, 1974, 267, 11432, 1229, 936, 2436, 2696, 6818, 543, 3357, 909, 609, 606, 2856, 1572, 23835, 1670, 4661, 269, 5213, 1405, 5855, 952, 1346, 1913, 3100, 7294, 1107, 789, 10416, 1611, 602, 646, 5156, 2696, 1590, 2291, 1317, 519, 1360, 2856, 540, 971, 513, 3501, 1373, 10522, 922, 4641, 269, 15346, 267, 26001, 2496, 3383, 267, 1946, 1281, 1022, 540, 713, 2339, 286, 4270, 267, 1589, 827, 707, 1378, 1272, 585, 513, 4090, 269, 1411, 4440, 7237, 3871, 1141, 596, 991, 547, 6430, 1063, 1318, 543, 4636, 1169, 2582, 1554, 269, 2107, 6148, 596, 4898, 3006, 1946, 1978, 1919, 4755, 610, 1018, 2306, 2576, 5963, 6126, 269, 11096, 14279, 899, 7338, 13985, 21590, 543, 1323, 1088, 332, 540, 2052, 26248, 4280, 2147, 2055, 543, 1031, 9266, 7744, 547, 2119, 543, 4137, 856, 2009, 4267, 780, 1103, 2110, 267, 7647, 2880, 1143, 568, 899, 2348, 513, 7874, 7521, 1851, 5100, 11570, 3843, 547, 1174, 1271, 8631, 269, 1656, 3884, 1405, 602, 2186, 540, 1018, 649, 798, 1932, 950, 649, 2911, 827, 2620, 3584, 609, 938, 2828, 610, 1920, 286, 3807, 3314, 267, 1985, 942, 596, 1865, 2462, 2093, 267, 596, 1223, 581, 1739, 538, 519, 3723, 25074, 540, 1390, 4416, 10415, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8469, 8148, 28636, 540, 519, 595, 20975, 454, 1607, 7127, 568, 5497, 607, 513, 5618, 543, 2489, 4367, 547, 519, 1646, 540, 7121, 3069, 689, 519, 4098, 540, 519, 5664, 12698, 267, 538, 519, 15795, 2540, 267, 547, 519, 18234, 6520, 540, 7647, 2880, 1143, 267, 538, 519, 31303, 269, 901, 1646, 568, 4241, 855, 8626, 27274, 1950, 269, 18623, 616, 1175, 4098, 547, 1491, 4063, 540, 519, 2101, 3604, 538, 519, 1620, 540, 6688, 543, 540, 875, 891, 3604, 616, 1644, 547, 519, 4901, 540, 824, 2101, 10952, 3584, 538, 519, 5664, 12698, 269, 13518, 960, 3788, 547, 581, 2944, 267, 1256, 3823, 519, 5784, 540, 26009, 5515, 267, 865, 8209, 649, 723, 1185, 547, 6615, 938, 4901, 547, 1152, 513, 1906, 2101, 5515, 543, 3584, 269, 12846, 267, 649, 4126, 602, 519, 4901, 786, 4196, 607, 513, 1434, 4358, 1448, 585, 4896, 5461, 538, 7121, 3069, 543, 922, 1686, 563, 268, 476, 272, 269, 12983, 454, 268, 476, 273, 269, 18190, 17461, 630, 2181, 1700, 4335, 595, 9950, 8094, 268, 476, 274, 269, 7216, 5664, 12698, 630, 8619, 269, 476, 4335, 1700, 12893, 271, 994, 268, 476, 275, 269, 774, 597, 18818, 11416, 454, 268, 476, 276, 269, 13536, 5664, 12698, 454, 268, 476, 277, 269, 18234, 6520, 540, 7647, 2880, 1143, 454, 268, 476, 278, 269, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 3273, 2880, 1143, 257, 607, 851, 540, 834, 15771, 6579, 5308, 8008, 14176, 1315, 28073, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 5384, 13488, 532, 3414, 6925, 538, 11470, 692, 5970, 596, 2479, 16545, 1373, 2111, 547, 2951, 998, 942, 286, 1677, 3643, 1114, 21971, 267, 2743, 1004, 689, 1686, 267, 543, 7198, 2621, 20250, 1131, 6157, 581, 606, 6909, 7045, 256, 2755, 942, 2951, 949, 1869, 1175, 581, 14810, 267, 1082, 4589, 543, 5496, 32392, 6451, 713, 2856, 883, 741, 2984, 267, 3850, 721, 547, 2263, 3140, 5712, 543, 3621, 2035, 538, 2189, 2081, 269, 4653, 267, 649, 786, 5490, 883, 513, 1808, 9135, 540, 5708, 1107, 2564, 543, 3140, 2564, 5559, 553, 10023, 942, 2951, 1107, 1141, 3197, 3460, 998, 942, 543, 7237, 1585, 2564, 2853, 543, 7760, 780, 20058, 267, 1577, 781, 1174, 1018, 2564, 5559, 553, 616, 269, 1452, 616, 14070, 1568, 630, 7945, 607, 2835, 267, 9413, 267, 610, 8613, 2982, 264, 10704, 1472, 4915, 543, 3782, 4648, 269, 1358, 1419, 4183, 7189, 267, 11923, 267, 10506, 267, 2550, 267, 543, 1272, 11399, 11546, 987, 3871, 269, 634, 24848, 516, 540, 3140, 2564, 5559, 553, 8591, 1776, 4494, 267, 2921, 1747, 1282, 1713, 2053, 538, 1480, 1686, 950, 2564, 1620, 729, 3908, 3379, 547, 2221, 269, 901, 2636, 13588, 547, 1451, 827, 2250, 12977, 1247, 11981, 513, 9159, 1650, 1467, 780, 11742, 10707, 2609, 1491, 891, 6386, 547, 606, 7357, 1007, 1377, 269, 5994, 513, 9952, 4387, 689, 938, 1699, 5736, 4012, 1227, 4466, 2933, 8026, 4915, 5553, 3516, 269, 1215, 1131, 789, 11883, 609, 14542, 3676, 267, 5574, 267, 543, 6848, 8155, 286, 1548, 1223, 789, 4001, 1866, 827, 4915, 543, 875, 1522, 789, 1332, 5923, 518, 1813, 547, 741, 2833, 286, 1635, 9256, 3140, 5468, 267, 2564, 4798, 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 ]

[ 0, 1607, 4015, 2882, 476, 18597, 11147, 540, 3979, 1977, 23597, 538, 476, 1839, 2829, 269, 769, 1840, 547, 6337, 540, 3885, 267, 1153, 1453, 267, 543, 5939, 4142, 10716, 267, 8711, 1331, 1895, 23609, 540, 519, 2817, 4563, 590, 8651, 10985, 4937, 2483, 28893, 1977, 23597, 282, 3979, 1977, 2021, 282, 715, 12584, 454, 7628, 1010, 1614, 1296, 2324, 585, 519, 8828, 21676, 8175, 267, 13343, 3212, 653, 2401, 3576, 936, 476, 1556, 267, 1822, 11147, 25643, 519, 3540, 2924, 3350, 267, 1514, 2175, 538, 3844, 17665, 267, 543, 2575, 12644, 630, 324, 3052, 1421, 13095, 24297, 267, 570, 2088, 25306, 1040, 2986, 1880, 4063, 2483, 28893, 1977, 2021, 282, 3979, 1977, 2021, 3540, 2924, 4600, 282, 25925, 15945, 282, 6406, 2924, 23405, 282, 6406, 2924, 5322, 282, 6468, 2206, 619, 454, 18197, 2276, 4534, 17665, 4534, 27293, 282, 2136, 2276, 4534, 14967, 4534, 12722, 454, 1607, 3059, 4015, 2882, 476, 25172, 6054, 689, 519, 20274, 3557, 10966, 7040, 267, 6406, 8865, 3143, 269, 476, 27628, 6321, 454, 12671, 519, 1101, 3979, 12677, 4807, 15861, 547, 519, 2160, 540, 20274, 1876, 1153, 538, 476, 3707, 279, 563, 28893, 1977, 2021, 282, 6406, 2924, 5322, 454, 18197, 2276, 4534, 20274, 454, 11514, 2452, 513, 3677, 3239, 543, 811, 6221, 1344, 950, 519, 24072, 533, 13415, 936, 513, 14853, 333, 841, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 1879, 8361, 10742, 909, 609, 513, 20754, 812, 267, 1018, 1281, 519, 812, 1616, 547, 917, 888, 273, 269, 4208, 568, 8361, 10288, 547, 1205, 13343, 1055, 519, 4155, 888, 274, 269, 1215, 1281, 8361, 781, 2243, 827, 1010, 22838, 3136, 888, 275, 269, 1548, 3123, 8361, 781, 4090, 540, 11784, 888, 276, 269, 1306, 519, 5742, 7980, 1205, 1394, 883, 2990, 267, 1018, 568, 8345, 888, 14112, 4828, 5999, 454, 272, 269, 1548, 568, 8361, 781, 1966, 602, 8952, 1864, 689, 13059, 547, 1010, 31458, 1318, 2476, 888, 273, 269, 14674, 519, 2707, 540, 519, 15555, 528, 540, 2469, 547, 6370, 519, 1985, 1554, 602, 4422, 998, 519, 3786, 563, 274, 269, 16294, 519, 844, 663, 776, 8361, 9060, 5128, 538, 1310, 646, 814, 2196, 689, 519, 25071, 563, 275, 269, 1548, 568, 519, 1101, 15555, 528, 602, 4991, 3323, 607, 513, 1267, 540, 519, 6370, 888, 276, 269, 1548, 2306, 8361, 1589, 519, 942, 814, 2097, 585, 1864, 547, 1265, 856, 827, 5128, 888, 277, 269, 14674, 875, 8361, 781, 22027, 543, 2055, 561, 5424, 607, 646, 3649, 1080, 538, 519, 3786, 563, 278, 269, 1548, 568, 8345, 782, 1472, 8361, 888, 279, 269, 1215, 1131, 596, 4766, 519, 6364, 540, 713, 1101, 6370, 888, 280, 269, 14674, 875, 519, 2367, 3459, 547, 8774, 741, 5679, 2355, 2931, 563, 1015, 269, 9181, 8361, 781, 4090, 540, 11784, 563, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 2237, 606, 1557, 827, 519, 2360, 540, 15555, 528, 269, 769, 707, 1957, 267, 1331, 875, 32422, 1205, 3323, 543, 1946, 789, 616, 1034, 1419, 4636, 269, 4746, 2446, 875, 2352, 621, 568, 547, 20912, 15555, 528, 950, 519, 5354, 540, 1004, 1472, 16119, 3494, 519, 15555, 528, 568, 3020, 269, 11512, 950, 15555, 528, 666, 1831, 5906, 563, 13625, 13445, 476, 273, 454, 2237, 606, 1557, 827, 513, 2875, 3843, 547, 7787, 1125, 2476, 1010, 610, 1200, 711, 2348, 2944, 8655, 6780, 269, 769, 519, 1557, 2285, 1806, 540, 1896, 2300, 4926, 519, 2875, 1522, 1118, 269, 3973, 1448, 856, 1946, 3610, 25864, 2887, 585, 971, 7787, 3074, 563, 13625, 13445, 476, 274, 454, 2237, 606, 1557, 827, 4466, 519, 1434, 602, 2501, 856, 540, 3983, 3871, 269, 11512, 875, 519, 6406, 2782, 267, 835, 540, 519, 4158, 652, 3108, 538, 938, 1686, 267, 8507, 538, 513, 2178, 19618, 6243, 269, 769, 707, 1557, 2491, 1018, 1522, 723, 5949, 952, 519, 3162, 1185, 16309, 538, 694, 1027, 532, 689, 519, 5742, 563, 1607, 3296, 3568, 476, 24798, 1913, 454, 26140, 269, 476, 274, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 24868, 1214, 10597, 1426, 6981, 538, 3425, 281, 10020, 540, 10444, 10391, 2893, 328, 1214, 454, 5723, 22552, 16898, 26062, 14633, 5396, 941, 6594, 547, 6218, 519, 1198, 540, 25430, 540, 10444, 4714, 2827, 540, 5892, 13881, 3536, 593, 10444, 10391, 2893, 328, 1214, 543, 6981, 269, 634, 5396, 17696, 3943, 535, 1845, 1287, 6960, 773, 25394, 740, 5391, 527, 636, 538, 1614, 3871, 281, 834, 3000, 582, 517, 748, 257, 910, 535, 1845, 1287, 6960, 625, 941, 10057, 4805, 282, 834, 13678, 6714, 748, 257, 910, 7873, 9323, 630, 8208, 577, 1575, 543, 949, 30358, 1047, 585, 519, 535, 1845, 267, 29877, 8645, 543, 627, 5792, 8645, 585, 519, 6960, 625, 264, 941, 3773, 1282, 703, 1389, 282, 834, 338, 15471, 633, 257, 910, 1310, 6981, 540, 535, 1845, 4805, 267, 11337, 577, 1575, 1287, 949, 30358, 1047, 941, 2139, 609, 535, 1845, 543, 267, 1310, 6981, 540, 6960, 625, 4805, 267, 29877, 8645, 1287, 627, 5792, 8645, 941, 6035, 609, 6960, 625, 269, 634, 9424, 13881, 538, 519, 834, 13678, 6714, 748, 257, 543, 834, 338, 15471, 633, 257, 3871, 941, 2362, 630, 335, 283, 271, 269, 9826, 264, 982, 1346, 538, 519, 834, 3000, 582, 517, 748, 257, 835, 630, 16825, 276, 266, 25773, 6812, 273, 543, 476, 12739, 273, 266, 25773, 6507, 278, 737, 5632, 5288, 476, 15686, 276, 266, 25773, 4649, 273, 737, 5632, 267, 6606, 1040, 769, 519, 834, 338, 15471, 633, 257, 3510, 267, 15949, 4577, 16863, 585, 535, 1845, 21022, 1282, 6981, 855, 2799, 1310, 519, 4367, 540, 11337, 577, 1575, 267, 3056, 547, 3606, 6981, 540, 535, 1845, 269, 6684, 267, 15949, 4577, 16863, 585, 6960, 625, 21022, 1282, 6981, 543, 2799, 1310, 519, 4367, 540, 29877, 8645, 3056, 547, 3606, 6960, 773, 6981, 630, 16673, 30358, 1047, 543, 627, 5792, 8645, 1185, 1100, 1713, 1198, 1040, 5253, 3099, 267, 5833, 676, 4946, 7873, 9323, 666, 2333, 1426, 6981, 538, 519, 2110, 2165, 269, 634, 7271, 676, 799, 1426, 4616, 568, 2799, 1310, 519, 1840, 540, 7873, 9323, 568, 5189, 568, 693, 2547, 14356, 1644, 547, 519, 22887, 6672, 540, 10444, 1606, 10620, 1214, 585, 513, 2016, 1426, 563, 314, 17004, 7493, 316, 1496, 295, 728, 7493, 2639, 268, 834, 19423, 1359, 513, 3099, 540, 3536, 538, 513, 7594, 9846, 4679, 6981, 630, 27778, 1180, 601, 1696, 620, 1421, 476, 1220, 280, 282, 670, 5930, 15838, 267, 476, 1960, 277, 282, 590, 21417, 27231, 523, 267, 631, 21417, 28705, 267, 4469, 842, 267, 6742, 839, 267, 1299, 15887, 523, 267, 476, 1220, 274, 1070, 519, 811, 1114, 519, 3536, 616, 519, 3152, 519, 19349, 630, 305, 565, 3149, 1696, 620, 1421, 476, 2735, 272, 1070, 543, 28916, 556, 11779, 548, 14031, 950, 513, 1268, 568, 4843, 609, 3536, 602, 8428, 689, 519, 12608, 6500, 543, 1292, 6030, 630, 7230, 1157, 267, 27029, 5723, 22552, 16898, 281, 1284, 25077, 602, 5493, 919, 3095, 24549, 2803, 543, 3425, 609, 8916, 543, 2015, 875, 891, 3347, 723, 4957, 13840, 269, 1323, 1140, 25293, 31370, 267, 799, 6087, 24549, 2803, 547, 2743, 2115, 585, 5567, 543, 1582, 2173, 539, 6510, 547, 6439, 1518, 32277, 625, 267, 27372, 689, 1614, 954, 22366, 3157, 281, 8137, 1922, 3975, 3724, 12205, 267, 8244, 540, 20239, 32554, 1227, 3638, 3536, 267, 543, 1565, 538, 14685, 334, 543, 2038, 538, 1272, 547, 3548, 16138, 5109, 10659, 540, 3536, 269, 2334, 4386, 950, 3552, 610, 6469, 24549, 2803, 28532, 593, 20239, 32554, 1227, 3638, 8916, 267, 568, 1447, 1455, 950, 6469, 24549, 2803, 28532, 593, 1395, 665, 11857, 2250, 999, 267, 568, 2673, 547, 4642, 585, 24549, 2803, 538, 3049, 331, 1824, 267, 543, 568, 5051, 4686, 585, 1004, 945, 28532, 538, 2413, 1426, 19093, 269, 9521, 938, 11937, 267, 519, 5493, 919, 540, 1082, 2043, 616, 1100, 3476, 5532, 538, 2635, 2081, 609, 8916, 269, 11633, 8105, 543, 5542, 585, 6556, 267, 5920, 267, 543, 3560, 1464, 21022, 519, 8137, 267, 20239, 12950, 17381, 267, 543, 4333, 633, 1871, 540, 5613, 543, 5388, 585, 3425, 269, 24695, 339, 32554, 1227, 791, 1478, 1639, 2250, 999, 543, 3049, 14309, 11326, 666, 28148, 1860, 519, 1072, 540, 13184, 543, 519, 8137, 543, 4333, 633, 1871, 540, 5779, 543, 5144, 2472, 585, 3425, 269, 2755, 10366, 540, 3132, 267, 5779, 267, 543, 10683, 723, 1831, 1025, 6387, 267, 9268, 3536, 723, 1831, 811, 14909, 607, 1004, 723, 4121, 547, 3095, 10991, 10366, 609, 5955, 689, 1648, 11656, 7135, 602, 21372, 9422, 7663, 8864, 543, 27298, 1072, 269, 4935, 267, 519, 5107, 2371, 543, 2831, 2899, 5129, 538, 6484, 723, 1044, 721, 584, 6244, 676, 9268, 3536, 602, 616, 12012, 267, 25167, 267, 543, 23353, 538, 2081, 602, 666, 28148, 1860, 12608, 1438, 2829, 543, 1426, 7375, 269, 634, 991, 547, 18985, 3536, 267, 543, 547, 1491, 8770, 9360, 267, 1223, 581, 4389, 676, 2870, 20239, 32554, 1227, 3638, 2371, 543, 24549, 2803, 543, 676, 2870, 4529, 602, 917, 875, 547, 9192, 3536, 883, 6980, 602, 16138, 880, 543, 2893, 5573, 6993, 653, 564, 924, 476, 5400, 270, 1001, 276, 282, 538, 2046, 269, 20396, 281, 1015, 269, 6200, 277, 10768, 269, 1952, 564, 269, 1001, 276, 269, 5400, 269, 21916, 5788, 476, 273, 269, 7597, 8177, 16748, 454, 314, 17004, 7493, 316, 1496, 295, 728, 7493, 2639, 268, 834, 10932, 14236, 519, 2360, 540, 7594, 3099, 814, 22157, 547, 13404, 593, 519, 12214, 543, 5626, 3157, 602, 3895, 7594, 26694, 630, 324, 3052, 1421, 10444, 10391, 2893, 328, 1214, 630, 27778, 1180, 601, 1696, 620, 1421, 476, 1220, 280, 282, 14105, 24335, 1299, 9210, 7322, 267, 476, 1220, 272, 282, 17029, 3149, 1696, 620, 1421, 476, 2735, 272, 282, 17029, 3149, 267, 11709, 13660, 6359, 1597, 17383, 867, 324, 267, 1299, 17029, 3149, 267, 476, 2735, 275, 1040, 1717, 267, 2487, 1382, 5267, 602, 7594, 2450, 568, 1360, 1419, 9709, 267, 543, 4061, 5462, 267, 538, 4434, 540, 4189, 630, 293, 599, 1696, 620, 1421, 476, 1001, 272, 282, 670, 15586, 1696, 620, 1421, 476, 1001, 274, 1040, 27029, 5723, 22552, 16898, 281, 2725, 531, 3099, 814, 1044, 3254, 547, 2333, 1648, 6981, 538, 3425, 676, 606, 3328, 540, 476, 3066, 10065, 25214, 267, 1382, 3695, 519, 7271, 5817, 713, 1198, 814, 5059, 593, 12214, 543, 5626, 3157, 602, 2165, 3729, 513, 7594, 630, 324, 3052, 1421, 10444, 10391, 2893, 328, 1214, 1040, 1284, 8179, 547, 2263, 2436, 7594, 3099, 22262, 6981, 676, 12018, 840, 268, 22596, 4058, 269, 1284, 917, 602, 2043, 946, 1991, 1995, 609, 513, 1426, 547, 7447, 519, 6708, 547, 799, 621, 786, 5838, 2407, 1145, 269, 1452, 2048, 1410, 4624, 2893, 2747, 685, 21520, 949, 581, 3551, 950, 1152, 835, 7594, 5057, 2115, 547, 581, 2808, 855, 621, 3788, 15458, 875, 17053, 2893, 2747, 568, 6059, 950, 513, 7594, 13408, 2789, 3688, 269, 1284, 24370, 2213, 602, 1004, 14458, 519, 4305, 676, 1210, 513, 646, 22618, 267, 610, 2048, 322, 4321, 30246, 10200, 13018, 267, 607, 1369, 268, 22596, 3099, 4679, 267, 4397, 2893, 2747, 11148, 547, 581, 1759, 593, 519, 9228, 4320, 540, 1426, 4433, 264, 2864, 982, 593, 1991, 1995, 269, 769, 1142, 4693, 267, 5171, 630, 301, 815, 476, 6924, 264, 941, 3254, 513, 6676, 540, 1426, 609, 3670, 10889, 564, 1426, 3688, 269, 21661, 8062, 519, 1297, 540, 1114, 3536, 9867, 538, 519, 2039, 835, 547, 3670, 269, 769, 5094, 4247, 267, 519, 5171, 3177, 606, 7447, 540, 741, 5916, 4397, 2893, 2747, 543, 4320, 269, 1879, 7594, 3099, 729, 1164, 267, 21520, 540, 9228, 4320, 543, 4397, 2893, 2747, 2048, 935, 591, 3022, 10200, 901, 568, 5812, 609, 513, 1455, 5817, 3210, 4640, 269, 1635, 4334, 267, 519, 1970, 3099, 6980, 3812, 4744, 1539, 762, 6114, 267, 11021, 602, 21520, 540, 4397, 2893, 2747, 941, 711, 18170, 9003, 676, 9228, 4320, 269, 901, 2963, 585, 513, 2048, 14179, 2541, 646, 22618, 685, 729, 2523, 2312, 538, 1004, 945, 941, 1447, 5432, 609, 519, 7594, 3688, 269, 8625, 267, 891, 2164, 616, 1271, 1317, 789, 16616, 513, 3209, 1184, 676, 799, 7594, 3099, 1522, 2333, 1426, 6981, 538, 3425, 6993, 653, 564, 924, 476, 4905, 270, 1001, 276, 282, 476, 8660, 269, 20396, 281 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 296, 4312, 1044, 23712, 609, 8284, 3610, 547, 2119, 543, 2697, 875, 649, 666, 948, 1053, 609, 519, 2596, 4058, 2877, 585, 513, 2257, 4023, 1788, 269, 1284, 3323, 713, 3561, 269, 7490, 948, 676, 11049, 713, 585, 9355, 543, 1919, 596, 2503, 1053, 547, 581, 3257, 607, 789, 1544, 543, 2932, 606, 4603, 269, 630, 5278, 540, 519, 1655, 2242, 949, 2097, 689, 1875, 1606, 7220, 3610, 26695, 19370, 3503, 519, 2243, 596, 616, 3843, 547, 1451, 827, 563, 1692, 1281, 12843, 1693, 630, 5715, 8817, 24438, 264, 1018, 594, 1689, 454, 320, 977, 12843, 1693, 630, 291, 8817, 24438, 264, 1018, 2242, 607, 513, 1267, 454, 19370, 630, 2237, 856, 707, 1966, 607, 513, 2347, 4845, 1934, 8094, 29797, 582, 4185, 3503, 707, 12605, 538, 519, 1403, 2507, 6533, 2507, 3898, 269, 2142, 966, 28475, 1808, 609, 707, 12605, 563, 263, 5715, 8817, 24438, 264, 1287, 26114, 454, 29797, 582, 4185, 630, 2237, 856, 707, 8367, 607, 513, 2347, 4845, 1934, 8094, 268, 5903, 519, 2326, 596, 786, 946, 563, 268, 3503, 856, 519, 4603, 1900, 676, 1900, 454, 268, 2142, 1808, 454, 268, 8307, 1449, 21450, 4756, 454, 268, 14674, 875, 596, 786, 1852, 782, 824, 4632, 454, 268, 4643, 875, 596, 786, 2445, 1239, 454, 8266, 519, 2326, 596, 786, 946, 912, 2237, 856, 519, 3268, 540, 707, 5650, 315, 912, 268, 4643, 1018, 1239, 596, 786, 2445, 1354, 596, 2253, 707, 4603, 454, 268, 11814, 2143, 1239, 910, 946, 4578, 7305, 952, 2877, 454, 268, 3503, 1239, 538, 519, 1239, 3349, 950, 3617, 454, 347, 23945, 585, 10655, 1239, 281, 630, 2237, 856, 707, 1544, 607, 513, 2347, 4845, 1934, 4700, 2008, 10574, 7305, 630, 604, 2877, 994, 347, 10574, 18224, 8641, 707, 1239, 2008, 268, 3417, 519, 3617, 1826, 540, 3113, 454, 268, 5410, 513, 3113, 2140, 454, 268, 5410, 10297, 547, 519, 2473, 543, 962, 17887, 454, 268, 3417, 519, 3617, 4559, 454, 268, 5269, 2386, 707, 4336, 568, 4977, 454, 347, 10574, 18224, 4211, 20199, 4578, 2008, 268, 1548, 729, 707, 3409, 286, 630, 305, 1168, 1679, 707, 8367, 8094, 268, 1548, 1239, 7028, 610, 1281, 711, 1489, 707, 3409, 270, 1506, 13607, 4185, 888, 268, 14424, 707, 1239, 609, 707, 3409, 269, 1548, 15549, 270, 935, 2424, 666, 596, 2721, 286, 630, 8196, 2407, 5220, 547, 1921, 707, 1239, 609, 707, 3409, 1916, 347, 6962, 3503, 513, 2347, 4845, 8220, 707, 1239, 543, 8367, 269, 3417, 2104, 4566, 547, 4434, 707, 1565, 269, 347, 0, 5825, 539, 547, 1625, 1518, 6704, 1216, 593, 21011, 13485, 6993, 335, 18099, 476, 1704, 10046, 333, 25914, 710, 2549, 335, 537, 548, 6034, 569, 689, 519, 9608, 14635, 540, 17030, 16710, 21602, 15815, 582, 27050, 27213, 269, 589, 3043, 570, 1030, 23127, 18041, 537, 548, 609, 519, 8465, 6418, 9126, 16856, 267, 2949, 476, 274, 269, 1839, 257, 1279, 1535, 476, 272, 269, 23841, 257, 538, 8006, 267, 855, 1631, 538, 1079, 2694, 269, 634, 1283, 6712, 814, 519, 9102, 24795, 834, 6224, 299, 3036, 12114, 270, 29332, 296, 268, 277, 1321, 271, 4097, 278, 268, 2641, 270, 476, 6187, 274, 7830, 21191, 295, 277, 6434, 272, 257, 2059, 609, 513, 1507, 5180, 6529, 518, 609, 513, 1688, 25740, 834, 4041, 288, 298, 2668, 634, 5377, 3296, 814, 513, 3259, 540, 476, 272, 257, 9633, 532, 11746, 609, 513, 1688, 25740, 834, 295, 277, 6434, 272, 2668, 20963, 2783, 563, 5629, 3232, 267, 835, 540, 891, 18041, 537, 956, 729, 22280, 883, 519, 1216, 3761, 267, 4553, 676, 513, 3114, 17280, 543, 606, 28166, 267, 538, 1931, 547, 21149, 543, 1625, 1518, 519, 12284, 781, 6704, 1216, 269, 589, 3349, 538, 519, 8331, 3561, 267, 834, 9915, 268, 3607, 279, 4437, 32441, 11778, 540, 21011, 257, 11331, 834, 300, 2153, 9046, 12834, 270, 4826, 4427, 17882, 257, 19528, 513, 1966, 540, 891, 18041, 537, 956, 682, 1136, 1282, 21011, 13485, 476, 1428, 267, 476, 1626, 267, 543, 476, 1704, 912, 257, 19370, 13517, 268, 25914, 710, 543, 17280, 18041, 2737, 682, 8898, 950, 22280, 563, 290, 1021, 268, 28740, 9126, 2736, 720, 1813, 547, 16345, 2042, 543, 8930, 4221, 1063, 3774, 543, 1439, 6676, 563, 300, 2153, 8177, 268, 22490, 3606, 12284, 942, 543, 30749, 4799, 1607, 1459, 2603, 568, 606, 1383, 540, 1175, 971, 513, 5692, 1966, 269, 7490, 2070, 713, 2603, 593, 938, 3896, 585, 811, 2930, 1344, 563, 1103, 7672, 609, 713, 2603, 568, 513, 9896, 14594, 540, 27872, 689, 3967, 27213, 630, 300, 3464, 269, 27050, 27213, 264, 17548, 281, 834, 296, 5909, 1518, 602, 519, 25914, 710, 2549, 335, 2544, 602, 9311, 625, 713, 4484, 729, 2095, 333, 547, 519, 7599, 20829, 21011, 476, 1704, 267, 5412, 476, 3192, 273, 269, 634, 2549, 335, 2544, 729, 1031, 547, 948, 632, 4186, 3133, 622, 6704, 1216, 20829, 519, 14361, 269, 898, 568, 1851, 519, 1906, 3688, 1250, 9393, 27050, 27213, 267, 21011, 476, 1704, 595, 6573, 267, 17477, 689, 519, 8184, 543, 621, 814, 1044, 609, 938, 1920, 2094, 602, 942, 4799, 5804, 519, 21011, 476, 1704, 2930, 12284, 3181, 4361, 532, 912, 1862, 296, 9364, 899, 547, 2446, 8392, 1588, 693, 713, 1448, 563, 21413, 3111, 267, 3592, 1169, 8392, 1588, 682, 8898, 269, 6884, 1804, 9424, 540, 1216, 267, 824, 2053, 1175, 1507, 9424, 540, 1216, 563, 12850, 610, 20841, 888, 288, 4999, 269, 7316, 621, 682, 8898, 7902, 547, 581, 1472, 519, 9126, 269, 898, 729, 519, 20425, 20841, 7006, 27660, 602, 729, 16111, 6632, 269, 898, 729, 711, 1141, 519, 7006, 27660, 3514, 883, 519, 13549, 610, 1141, 519, 13549, 3082, 528, 3514, 883, 519, 14361, 269, 898, 729, 1369, 519, 20841, 7006, 27660, 3294, 269, 25914, 1588, 729, 513, 2013, 540, 2141, 7738, 707, 3946, 609, 20841, 1317, 596, 2141, 1185, 621, 2139, 1524, 972, 1369, 602, 7006, 27660, 269, 769, 930, 2665, 267, 596, 1185, 513, 3677, 7274, 540, 1216, 602, 1185, 547, 581, 530, 21317, 909, 609, 513, 5160, 269, 2334, 12735, 4240, 721, 2429, 519, 2898, 5692, 269, 898, 5828, 856, 711, 547, 581, 513, 3978, 1966, 1317, 649, 4121, 875, 547, 6023, 621, 269, 2334, 729, 835, 1062, 31096, 602, 22821, 1405, 2731, 1044, 4547, 909, 563, 1103, 1079, 2665, 267, 594, 6415, 3592, 2318, 267, 621, 1705, 711, 14047, 675, 519, 18041, 2544, 269, 634, 2601, 594, 3494, 602, 781, 2953, 568, 602, 267, 950, 596, 3323, 547, 1835, 1678, 519, 3544, 540, 519, 22101, 8291, 1524, 547, 7903, 519, 20841, 883, 519, 1216, 1062, 910, 621, 729, 1360, 2182, 547, 2490, 269, 1403, 596, 6836, 547, 3196, 621, 267, 596, 1223, 3196, 621, 593, 1524, 972, 267, 543, 594, 6415, 2386, 602, 781, 513, 1434, 1259, 547, 2736, 606, 18041, 2544, 593, 519, 3364, 269, 769, 1079, 2665, 267, 649, 3576, 519, 15922, 517, 564, 17501, 10690, 1586, 543, 2322, 621, 1394, 593, 972, 267, 543, 538, 1312, 2665, 267, 1287, 596, 9364, 1376, 547, 25837, 519, 20841, 856, 540, 519, 18041, 2544, 883, 519, 1062, 267, 543, 621, 1131, 2490, 4443, 563, 2171, 3893, 519, 8392, 1588, 2944, 269, 1284, 4769, 1405, 4413, 1022, 24409, 540, 20841, 267, 543, 649, 4769, 1405, 4413, 1022, 540, 519, 17280, 5439, 269, 594, 7058, 649, 3893, 519, 2816, 2944, 282, 621, 729, 1175, 513, 2370, 3787, 30255, 269, 634, 20841, 729, 10423, 1317, 519, 7131, 305, 5555, 22019, 539, 782, 519, 9018, 2960, 1055, 1010, 1318, 1688, 269, 594, 6415, 18617, 621, 729, 1813, 547, 519, 20841, 267, 543, 1185, 4986, 547, 798, 609, 519, 12601, 288, 563, 293, 4315, 267, 1744, 6235, 267, 543, 30047, 13517, 281, 645, 2714, 956, 267, 808, 1513, 1299, 29597, 619, 630, 1613, 11288, 1344, 994, 306, 2297, 12525, 1344, 1923, 16301, 543, 17148, 454, 289, 27570, 13832, 543, 645, 573, 9214, 906, 454, 10908, 27443, 540, 16301, 454, 24246, 518, 781, 20031, 1756, 829, 20769, 912, 866, 269, 276, 260, 540, 519, 3811, 19915, 630, 2381, 3065, 1269, 1691, 264, 829, 2603, 563, 28926, 839, 827, 476, 4905, 270, 6349, 270, 1001, 279, 454, 268, 12815, 589, 25934, 18880, 630, 335, 4631, 267, 6337, 267, 2407, 11673, 267, 3092, 8094, 268, 645, 573, 2228, 454, 268, 5131, 11814, 528, 20394, 454, 268, 21763, 5903, 609, 8216, 552, 17733, 711, 5874, 454, 268, 25841, 25488, 862, 3827, 950, 596, 1191, 961, 707, 454, 268, 22418, 25790, 454, 268, 2859, 645, 1342, 619, 454, 268, 11565, 539, 20226, 454, 268, 3683, 476, 1220, 267, 1822, 9045, 529, 30829, 3117, 793, 832, 4595, 476, 3192, 277, 454, 9596, 827, 931, 793, 532, 609, 721, 454, 1607, 729, 1250, 1101, 942, 7231, 609, 606, 25488, 2777, 267, 543, 594, 993, 476, 1911, 260, 4625, 24330, 609, 11595, 269, 1703, 568, 711, 606, 2460, 540, 713, 1184, 602, 594, 723, 513, 16472, 585, 24707, 2859, 4530, 30266, 10118, 454, 11190, 2593, 11392, 811, 6808, 982, 1022, 824, 25488, 2777, 3896, 269, 630, 13126, 281, 5381, 19986, 2593, 264, 0, 8310, 15964, 519, 4095, 2229, 10443, 513, 1360, 4277, 4603, 1107, 513, 2048, 327, 871, 25070, 685, 2966, 547, 5000, 2804, 2208, 538, 519, 2197, 563, 763, 11360, 25070, 729, 513, 476, 3953, 16923, 6735, 1141, 1762, 3301, 9367, 267, 9858, 267, 543, 32349, 2841, 539, 547, 3094, 513, 6666, 16101, 540, 476, 1839, 267, 1822, 4095, 8297, 701, 525, 630, 12671, 11278, 4968, 1040, 634, 5171, 941, 4397, 547, 3132, 1102, 16623, 267, 8924, 585, 11436, 267, 610, 8874, 1210, 1239, 689, 519, 2229, 10452, 741, 4566, 585, 519, 1985, 2947, 1296, 563, 1103, 2110, 267, 519, 2229, 729, 3246, 2804, 2208, 1239, 543, 6998, 891, 1762, 543, 3860, 1004, 547, 2995, 519, 1650, 540, 875, 3127, 786, 1332, 538, 519, 1985, 2947, 1296, 538, 513, 1259, 602, 1131, 581, 4277, 547, 3339, 1004, 1107, 519, 2186, 540, 1004, 945, 2356, 2879, 5622, 2763, 950, 12654, 20327, 616, 12286, 538, 519, 2046, 563, 30025, 26110, 849, 6170, 519, 1554, 1354, 519, 11360, 25070, 2324, 609, 519, 18917, 547, 1491, 2093, 689, 519, 9962, 2146, 3544, 540, 3127, 269, 25175, 1223, 2047, 12334, 1010, 610, 1200, 2093, 547, 519, 2229, 1210, 519, 18917, 3127, 12108, 2272, 563, 1607, 568, 513, 1390, 2856, 585, 513, 1297, 540, 4128, 269, 3689, 267, 621, 9727, 602, 519, 4095, 2229, 568, 5423, 547, 6432, 547, 2093, 689, 3544, 3127, 543, 547, 2503, 3687, 8651, 547, 16175, 7521, 2093, 607, 789, 12446, 269, 5822, 267, 621, 2982, 519, 1871, 540, 519, 15624, 269, 1280, 519, 19160, 540, 513, 1507, 6666, 16101, 519, 7104, 12058, 540, 1082, 5215, 540, 1004, 666, 581, 15600, 543, 741, 2093, 666, 1287, 8300, 1082, 6634, 540, 1004, 563, 5331, 952, 519, 2229, 1185, 20827, 606, 10229, 8116, 547, 1118, 741, 2804, 4566, 811, 4277, 269, 898, 1131, 4440, 723, 1942, 1082, 6634, 540, 9489, 547, 1711, 513, 4670, 543, 621, 1131, 581, 689, 519, 9345, 540, 15454, 15515, 12023, 10229, 26933, 1107, 15991, 607, 11121, 607, 15603, 519, 6107, 540, 519, 4182, 1374, 519, 5048, 563, 2252, 713, 568, 875, 519, 2229, 540, 3127, 666, 13789, 267, 26378, 883, 519, 7104, 4987, 540, 1762, 3860, 12075, 543, 519, 9962, 2228, 2146, 267, 1287, 875, 666, 596, 2087, 519, 1259, 707, 1378, 2754, 610, 13539, 4991, 2093, 585, 519, 2104, 888, 20124, 676, 3127, 4826, 5800, 531, 13931, 896, 11300, 12780, 0, 13146, 6201, 540, 16822, 7702, 689, 519, 5680, 454, 4517, 621, 568, 1500, 538, 519, 3504, 1259, 281, 634, 18683, 267, 6805, 547, 11908, 267, 616, 25496, 538, 7117, 557, 341, 686, 267, 10036, 16822, 7702, 6438, 8043, 20898, 609, 10987, 342, 1314, 543, 12617, 538, 519, 3618, 563, 13420, 958, 11141, 568, 606, 796, 15842, 5287, 16822, 7702, 593, 10211, 689, 519, 27062, 7467, 540, 3203, 538, 1715, 3840, 602, 20186, 513, 13465, 267, 2220, 11691, 595, 603, 541, 1712, 267, 513, 3775, 539, 1762, 812, 4730, 519, 5569, 539, 737, 603, 4673, 563, 9349, 513, 512, 8463, 540, 16822, 7702, 25299, 693, 519, 3046, 267, 1287, 3251, 585, 513, 11116, 540, 855, 6670, 1095, 2863, 334, 8423, 1500, 689, 1325, 550, 1690, 8457, 3109, 14918, 563, 2690, 1296, 267, 891, 6705, 723, 1044, 16924, 3186, 655, 2719, 267, 11493, 543, 7542, 13586, 519, 18683, 538, 1930, 1283, 8043, 267, 1287, 10172, 873, 538, 1591, 1513, 1369, 10036, 16822, 7702, 267, 513, 1826, 540, 1079, 268, 1301, 267, 7522, 8405, 6077, 563, 763, 2777, 849, 4421 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 610, 4896, 3116, 945, 2451, 513, 1713, 1764, 593, 2486, 563, 273, 269, 2608, 27094, 9452, 16949, 15846, 589, 3844, 11509, 2078, 10953, 1063, 519, 3119, 3197, 267, 4946, 3178, 543, 7553, 547, 741, 2907, 8903, 8941, 563, 274, 269, 2608, 23208, 12745, 15846, 6452, 23847, 3877, 827, 942, 5712, 267, 4529, 267, 543, 7239, 10802, 519, 2239, 543, 948, 1711, 606, 8076, 5790, 563, 275, 269, 2608, 9209, 2065, 17821, 15846, 2755, 16135, 538, 4641, 267, 4589, 1491, 3860, 22624, 950, 13167, 19929, 267, 4555, 267, 543, 824, 3344, 540, 519, 1650, 547, 3986, 5467, 6278, 563, 276, 269, 2608, 14807, 1049, 10025, 15846, 22419, 2744, 5813, 883, 3140, 2621, 267, 6848, 8155, 267, 543, 9565, 14789, 1247, 11981, 513, 678, 633, 1154, 4729, 780, 1262, 14300, 540, 4437, 7240, 7931, 1734, 16001, 2414, 2285, 596, 513, 1732, 1620, 540, 713, 9135, 267, 1577, 781, 2263, 930, 2442, 27367, 32741, 1384, 272, 269, 2608, 290, 548, 641, 21358, 781, 9855, 265, 676, 966, 1157, 344, 1325, 557, 541, 2701, 551, 518, 910, 7427, 519, 1272, 540, 7581, 641, 21358, 17286, 2940, 4083, 267, 8250, 540, 10348, 7581, 641, 21358, 23446, 543, 4460, 4165, 3415, 267, 607, 1352, 4044, 919, 1200, 1378, 3460, 2509, 1379, 543, 9060, 2648, 2059, 519, 1259, 563, 273, 269, 2608, 313, 281, 589, 23397, 540, 2098, 601, 6767, 32684, 265, 676, 1703, 572, 14732, 674, 578, 2401, 910, 13028, 519, 31341, 6681, 7365, 543, 11450, 1063, 1340, 539, 2278, 674, 269, 8845, 32684, 543, 1010, 9058, 7385, 267, 2098, 601, 6767, 267, 1282, 519, 10162, 2130, 3828, 550, 625, 563, 274, 269, 2608, 763, 8303, 654, 1057, 265, 676, 14529, 3121, 32511, 664, 910, 15232, 519, 1950, 6125, 1063, 29527, 12920, 532, 3118, 543, 1010, 1101, 7385, 267, 16874, 2917, 27672, 517, 267, 1305, 1996, 519, 20457, 540, 8303, 538, 519, 476, 4572, 271, 338, 563, 275, 269, 2608, 13563, 667, 31866, 1087, 281, 589, 23397, 540, 3117, 3241, 334, 966, 6387, 321, 2830, 265, 676, 27239, 22489, 910, 6258, 827, 1977, 646, 328, 816, 3117, 3241, 334, 966, 6387, 321, 2830, 781, 11231, 7365, 547, 519, 16099, 540, 3057, 331, 28386, 543, 1200, 4339, 585, 7115, 543, 1582, 22523, 780, 3086, 602, 596, 917, 811, 827, 519, 9159, 1158, 540, 27367, 32741, 267, 621, 781, 942, 547, 4584, 909, 513, 3209, 543, 23365, 3054, 538, 519, 13858, 2729, 540, 1483, 3140, 5515, 1303, 342, 1441, 609, 4190, 2648, 2984, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 6097, 547, 519, 8585, 26713, 268, 31812, 9218, 267, 513, 9135, 568, 513, 968, 322, 14394, 540, 7499, 267, 7574, 267, 610, 5339, 5888, 6353, 676, 513, 1880, 2511, 267, 1106, 267, 610, 1543, 1848, 1284, 1131, 1039, 519, 2856, 602, 5176, 1022, 1106, 540, 2923, 630, 25740, 267, 17391, 267, 610, 3308, 264, 666, 581, 19040, 676, 11964, 269, 898, 779, 1175, 835, 540, 1082, 1114, 2081, 602, 513, 1268, 666, 1865, 2835, 267, 8613, 5752, 267, 2110, 2984, 267, 9413, 267, 543, 811, 269, 3683, 519, 1985, 1906, 4374, 267, 649, 2219, 621, 1131, 581, 1187, 547, 1413, 693, 936, 513, 18797, 1114, 4670, 11964, 630, 337, 4474, 689, 19347, 547, 530, 525, 3179, 1070, 13713, 10747, 1978, 4162, 1455, 547, 1022, 4670, 538, 602, 9135, 267, 543, 1287, 17609, 930, 540, 938, 5172, 9413, 689, 519, 2016, 7121, 269, 1284, 8910, 2648, 547, 723, 707, 3403, 267, 607, 1134, 256, 9523, 609, 1866, 1018, 707, 5172, 8874, 616, 689, 1142, 9135, 616, 543, 1946, 269, 1284, 1413, 4464, 547, 1373, 5189, 547, 1007, 3562, 268, 639, 10643, 267, 610, 1373, 556, 659, 638, 20557, 609, 4670, 2093, 649, 1185, 16618, 256, 7490, 8275, 602, 649, 616, 711, 14957, 782, 540, 891, 8874, 585, 1169, 2085, 540, 669, 559, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 4437, 7240, 1315, 4437, 7240, 23620, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 23586, 910, 4197, 15448, 538, 18321, 692, 8702, 547, 713, 1576, 1770, 1141, 649, 786, 2263, 835, 2460, 540, 4984, 1572, 7503, 256, 5620, 596, 2479, 4862, 540, 2576, 4657, 741, 4984, 286, 9320, 789, 941, 4535, 883, 835, 5132, 855, 8359, 547, 1246, 1776, 950, 789, 8057, 909, 269, 2334, 781, 1018, 649, 1289, 7503, 1107, 621, 1797, 15175, 689, 835, 1305, 540, 4978, 267, 2853, 267, 543, 2418, 630, 320, 4984, 264, 547, 1776, 269, 2913, 781, 4685, 4514, 883, 1620, 1946, 1004, 6460, 543, 875, 621, 12211, 547, 3127, 781, 2189, 5133, 593, 16712, 1143, 780, 3963, 798, 4658, 22417, 888, 10900, 692, 5331, 2348, 2828, 689, 1585, 2686, 10080, 945, 8661, 1114, 14812, 267, 3548, 8949, 3536, 267, 543, 2671, 4241, 2984, 827, 741, 5389, 269, 6884, 267, 891, 3604, 1522, 8141, 7279, 1369, 721, 267, 1818, 721, 4898, 952, 649, 1223, 849, 581, 513, 851, 540, 1346, 16873, 543, 5389, 269, 901, 2631, 540, 7279, 543, 22906, 1419, 5012, 930, 2043, 547, 1451, 811, 827, 824, 10764, 267, 5555, 14045, 547, 9772, 873, 607, 741, 1378, 780, 10144, 949, 3442, 547, 6460, 1813, 547, 1896, 4128, 267, 1519, 1384, 272, 269, 2878, 23114, 5289, 3460, 5093, 2368, 2043, 3343, 4267, 547, 2620, 10952, 2055, 827, 1272, 267, 2669, 267, 543, 3483, 269, 4256, 3406, 3006, 5012, 873, 547, 3605, 1007, 10752, 543, 5380, 602, 13469, 609, 873, 811, 982, 741, 1699, 3661, 1062, 563, 273, 269, 2878, 9824, 725, 4721, 543, 2950, 5093, 12096, 532, 538, 2648, 609, 2576, 689, 1776, 5132, 610, 16462, 547, 4866, 547, 513, 1880, 1514, 5858, 1522, 5000, 606, 1367, 547, 2015, 14291, 547, 1732, 1921, 609, 741, 6068, 3283, 610, 2146, 2818, 563, 274, 269, 2878, 12892, 5126, 543, 7862, 5093, 15742, 10764, 1747, 3152, 8561, 593, 2152, 899, 6710, 10970, 2747, 267, 4008, 9698, 267, 610, 2825, 6940, 269, 15706, 13730, 827, 891, 3123, 1522, 1265, 2933, 26936, 609, 513, 1808, 5132, 602, 23594, 2147, 16431, 780, 1692, 1281, 1530, 4788, 1143, 3514, 538, 888, 10900, 13430, 1103, 2477, 899, 3127, 267, 16712, 1143, 4249, 513, 1713, 1909, 538, 5935, 875, 24740, 616, 9228, 543, 7307, 269, 9521, 519, 5375, 2070, 799, 24508, 4984, 689, 2229, 12602, 267, 3127, 781, 834, 294, 16905, 9539, 12317, 745, 257, 16712, 1143, 6212, 593, 4509, 29591, 1851, 782, 5132, 338, 1247, 18245, 1142, 12504, 781, 1318, 547, 2259, 741, 6074, 4984, 11884, 780, 4131, 781, 1589, 827, 513, 4928, 4259, 607, 606, 1383, 269, 5994, 707, 4116, 5849, 3025, 814, 3160, 3255, 547, 2769, 741, 8369, 267, 7488, 540, 2436, 789, 2097, 689, 513, 9699, 267, 7332, 267, 4168, 267, 27566, 267, 14418, 267, 27454, 267, 610, 1022, 824, 4282, 269, 2659, 4116, 3788, 31717, 2509, 1169, 2875, 781, 5132, 2245, 2943, 7512, 8994, 2463, 543, 1620, 269, 6684, 267, 519, 4095, 2229, 6663, 547, 3895, 9322, 543, 10103, 10838, 922, 3309, 2551, 998, 4507, 602, 1521, 782, 10764, 8449, 780, 4913, 267, 1317, 540, 3127, 781, 3638, 18371, 6561, 543, 1950, 3140, 2796, 267, 972, 723, 1044, 9840, 4478, 7503, 269, 2755, 930, 8044, 585, 2347, 5191, 540, 25903, 3850, 4896, 547, 1689, 741, 4984, 267, 1866, 5855, 827, 1761, 14226, 610, 7142, 24740, 269, 4475, 267, 4031, 3823, 24740, 4268, 2066, 1114, 2829, 538, 3127, 780, 18698, 4329, 454, 2411, 7042, 3086, 602, 649, 1174, 519, 9238, 540, 7503, 543, 922, 4276, 547, 4095, 16712, 1143, 267, 1577, 781, 5490, 4514, 883, 1483, 3734, 7653, 5473, 2242, 538, 5132, 269, 1284, 786, 4983, 2013, 2090, 267, 4497, 538, 15826, 5717, 267, 543, 5659, 3377, 4930, 547, 22962, 938, 7071, 540, 713, 10578, 25246, 540, 4984, 269, 1635, 3257, 865, 267, 649, 4126, 547, 6536, 10892, 267, 6568, 267, 543, 1930, 16490, 1145, 2509, 3309, 3661, 1949, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20376, 983, 1143, 538, 3127, 607, 19413, 543, 3026, 327, 745, 4718, 621, 568, 3982, 569, 1114, 689, 519, 5375, 2070, 540, 16712, 1143, 269, 634, 968, 294, 16905, 9539, 12317, 745, 892, 16712, 1143, 4025, 519, 2956, 540, 519, 1533, 779, 968, 928, 583, 337, 1275, 892, 1063, 3127, 779, 1082, 5132, 338, 563, 19328, 779, 7115, 968, 324, 1203, 1302, 3357, 607, 513, 1267, 540, 6837, 685, 1967, 538, 476, 3707, 277, 12836, 2223, 476, 543, 607, 513, 1267, 519, 28928, 3127, 22993, 606, 968, 728, 320, 892, 540, 513, 2797, 2146, 602, 729, 4547, 1927, 676, 2413, 18765, 971, 607, 1367, 2924, 267, 9111, 267, 543, 15114, 28000, 540, 3909, 610, 824, 12508, 540, 6803, 3961, 269, 476, 634, 6837, 5428, 17947, 513, 4528, 540, 18541, 602, 15469, 606, 8537, 543, 12683, 5075, 540, 519, 4095, 1533, 28000, 540, 3909, 610, 824, 9163, 563, 6097, 547, 2549, 691, 5984, 7354, 267, 519, 5072, 540, 4095, 16712, 1143, 666, 581, 14360, 1394, 547, 922, 1279, 543, 3309, 3818, 1922, 28216, 1686, 269, 476, 3127, 779, 11156, 14828, 922, 4961, 267, 1367, 607, 1134, 607, 1895, 2924, 269, 476, 1306, 971, 267, 3127, 779, 16712, 1143, 11148, 547, 11168, 519, 968, 928, 583, 337, 1275, 892, 540, 519, 1533, 538, 882, 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, 3519, 11437, 257, 607, 851, 540, 834, 32628, 1315, 18321, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3575, 6230, 548, 9272, 284, 334, 318, 3279, 32203, 259, 1817, 333, 266, 1817, 333, 269, 4752, 3553, 267, 1505, 8782, 325, 5217, 3052, 10397, 22779, 332, 1460, 269, 22238, 284, 271, 269, 6795, 267, 2539, 284, 273, 1341, 18057, 269, 4752, 3553, 910, 476, 278, 267, 5580, 284, 4366, 273, 1341, 18057, 269, 4752, 3553, 1341, 476, 274, 2676, 23251, 272, 269, 1706, 272, 284, 272, 269, 4391, 267, 1253, 272, 269, 1706, 273, 284, 7367, 269, 278, 267, 1253, 273, 269, 1706, 272, 284, 273, 269, 3066, 267, 1253, 273, 269, 1706, 273, 284, 6246, 269, 279, 994, 1012, 4347, 5435, 8228, 1599, 2982, 513, 15410, 540, 519, 2139, 1344, 454, 1012, 4347, 5435, 28321, 1599, 2982, 27008, 267, 6151, 7422, 267, 543, 519, 17223, 14778, 2676, 1012, 2059, 609, 513, 10828, 1519, 6059, 2418, 454, 1012, 1677, 23868, 10828, 454, 32046, 1299, 19321, 539, 676, 14642, 600, 340, 29142, 553, 1177, 4673, 630, 14140, 4067, 17106, 11333, 3820, 264, 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 ]

[ 269, 15887, 6798, 779, 269, 24583, 3000, 625, 607, 538, 1209, 542, 543, 536, 1695, 5378, 345, 341, 1695, 779, 269, 19097, 1235, 3494, 538, 2696, 543, 4906, 267, 1247, 519, 6014, 2146, 11099, 1152, 538, 454, 297, 12317, 990, 1695, 779, 654, 5893, 525, 3494, 602, 4906, 568, 2696, 1152, 1463, 5137, 602, 3388, 3116, 729, 2813, 676, 1797, 540, 2441, 267, 543, 519, 3355, 796, 817, 13554, 957, 540, 5137, 19918, 14439, 4906, 607, 2696, 968, 21671, 1917, 13516, 12312, 6100, 8614, 327, 990, 1695, 654, 5893, 525, 849, 3494, 602, 519, 23573, 568, 519, 1152, 2707, 540, 3661, 543, 4341, 540, 2932, 269, 1358, 0, 5194, 3364, 602, 2501, 883, 1404, 568, 1762, 1004, 711, 6616, 519, 3017, 1063, 2648, 543, 561, 755, 267, 561, 755, 568, 723, 513, 1360, 2178, 4638, 7287, 585, 2576, 2648, 568, 606, 7920, 4743, 540, 2620, 15754, 585, 2576, 269, 4658, 12161, 561, 755, 585, 2648, 1932, 1419, 267, 1775, 1589, 621, 568, 2653, 547, 6952, 952, 2576, 568, 4743, 2648, 2509, 596, 610, 952, 621, 568, 561, 755, 676, 741, 3527, 269, 31701, 17165, 568, 513, 2462, 9594, 585, 1004, 547, 1616, 454, 7922, 553, 10548, 790, 345, 2296, 476, 9873, 273, 11427, 269, 19537, 651, 268, 24171, 5988, 476, 276, 267, 476, 1001, 277, 589, 6153, 2494, 568, 10434, 547, 4855, 1548, 568, 519, 4214, 540, 1434, 286, 634, 8675, 11225, 621, 607, 25432, 5140, 267, 4075, 6681, 267, 22233, 267, 543, 533, 1190, 269, 769, 968, 288, 1434, 812, 568, 2182, 547, 1265, 5608, 4414, 27385, 267, 519, 8227, 540, 513, 29851, 304, 13962, 1572, 634, 18975, 3081, 267, 968, 31819, 568, 3478, 15265, 269, 594, 3314, 519, 1554, 596, 1223, 979, 1055, 543, 4734, 707, 5496, 7450, 796, 26245, 3481, 269, 3502, 1100, 811, 1848, 630, 6246, 264, 769, 4469, 534, 1676, 344, 744, 685, 3519, 24335, 779, 968, 288, 6153, 2494, 1772, 10434, 1677, 4855, 5608, 744, 685, 3519, 24335, 20475, 519, 21792, 4214, 540, 513, 1434, 812, 563, 10955, 3534, 3096, 782, 28375, 1896, 2053, 2429, 519, 6648, 269, 2368, 1806, 540, 713, 568, 950, 1352, 11339, 968, 21953, 1082, 513, 812, 568, 1818, 2828, 609, 2669, 892, 630, 278, 264, 610, 968, 10214, 607, 594, 3717, 267, 585, 3668, 540, 2648, 4805, 1848, 630, 279, 1040, 2353, 28375, 568, 849, 1271, 538, 9446, 532, 519, 6249, 1317, 3798, 3534, 3096, 519, 1034, 782, 28375, 1282, 519, 1689, 540, 1018, 2648, 568, 711, 8957, 1018, 2648, 568, 1818, 519, 6249, 543, 519, 1689, 811, 6654, 269, 3798, 3534, 3096, 1896, 19621, 2553, 585, 1082, 1114, 4128, 607, 1134, 607, 835, 1292, 2601, 540, 9446, 532, 519, 6249, 269, 9453, 891, 19621, 2553, 3798, 3534, 1131, 711, 723, 1044, 2111, 547, 9446, 1200, 6249, 607, 1134, 607, 1352, 1705, 538, 968, 27094, 568, 711, 782, 9731, 7437, 2542, 519, 4773, 968, 7069, 5067, 568, 22985, 892, 543, 968, 296, 899, 547, 5957, 32293, 892, 543, 25909, 595, 1195, 1774, 649, 1294, 875, 23998, 9859, 2509, 1453, 585, 1175, 1373, 2933, 1419, 24115, 2471, 1453, 689, 3695, 741, 4008, 269, 769, 1931, 547, 13104, 630, 663, 1489, 264, 1453, 689, 2942, 10385, 531, 4555, 789, 991, 513, 2178, 15366, 4137, 269, 5637, 4425, 334, 543, 14731, 1995, 454, 295, 1177, 25079, 779, 1603, 2511, 2488, 3988, 609, 513, 811, 12667, 543, 10477, 2542, 1995, 602, 23248, 24864, 873, 547, 581, 811, 7722, 538, 1018, 789, 616, 2542, 269, 769, 2348, 547, 1232, 1712, 519, 5354, 540, 519, 3209, 267, 621, 3762, 513, 12357, 543, 1930, 1198, 593, 519, 3003, 1433, 269, 2060, 782, 713, 538, 2247, 267, 621, 568, 1271, 547, 5431, 8316, 25079, 779, 11029, 946, 540, 21055, 3457, 899, 782, 28375, 971, 607, 968, 3405, 3072, 267, 6126, 267, 543, 13533, 540, 1200, 3993, 892, 630, 295, 1177, 25079, 267, 476, 11740, 264, 538, 1010, 1603, 269, 590, 2775, 23937, 971, 607, 713, 24996, 909, 1010, 3335, 16625, 1893, 543, 8445, 1719, 593, 3988, 676, 5329, 873, 593, 741, 19462, 269, 769, 2348, 782, 519, 1983, 547, 2099, 519, 14334, 543, 5898, 538, 1272, 538, 7415, 2081, 267, 8316, 25079, 3096, 16105, 538, 634, 25753, 2280, 14594, 547, 2087, 543, 3986, 519, 2949, 2298, 540, 1010, 454, 305, 558, 766, 2501, 538, 782, 1114, 3029, 543, 7306, 267, 543, 2836, 6975, 17358, 602, 2059, 609, 891, 1352, 25370, 2738, 1946, 1004, 2887, 538, 543, 856, 540, 2648, 269, 12096, 532, 538, 2648, 814, 513, 2631, 540, 13438, 602, 3340, 2921, 4220, 602, 1004, 616, 968, 342, 3739, 547, 3111, 267, 1315, 1946, 649, 786, 1869, 1577, 6000, 2887, 538, 2648, 2223, 538, 1931, 547, 2844, 1483, 2648, 269, 2836, 6975, 7475, 1200, 6648, 609, 17609, 519, 32741, 609, 1200, 9393, 543, 642, 3298, 267, 968, 3104, 532, 4986, 824, 982, 1496, 26132, 316, 2648, 892, 1317, 602, 568, 782, 602, 6927, 547, 1200, 454, 27094, 666, 1419, 2014, 1360, 2182, 4606, 269, 901, 568, 3020, 538, 10748, 516, 7083, 324, 781, 6648, 834, 21430, 11146, 1677, 22493, 1701, 769, 713, 6648, 1352, 20475, 602, 952, 596, 3112, 7753, 930, 12194, 538, 5020, 596, 666, 1405, 1118, 2648, 547, 513, 834, 935, 4740, 257, 2701, 568, 865, 13730, 827, 875, 1352, 7959, 267, 1352, 1256, 3081, 952, 596, 4250, 2479, 4742, 19987, 610, 561, 731, 596, 3112, 1118, 2648, 547, 6405, 269, 7083, 324, 781, 2856, 14121, 22351, 602, 596, 723, 547, 7753, 4250, 538, 1931, 547, 2648, 568, 1655, 28078, 998, 1200, 946, 540, 17279, 267, 1138, 850, 267, 543, 8289, 269, 634, 2278, 781, 946, 540, 1138, 850, 524, 913, 903, 519, 2856, 602, 596, 723, 547, 7753, 4250, 538, 1931, 547, 11146, 563, 27094, 568, 711, 606, 1843, 855, 30608, 7553, 4061, 621, 666, 711, 581, 11751, 269, 5015, 267, 646, 729, 18930, 539, 609, 519, 2856, 540, 2348, 513, 24158, 865, 1454, 602, 646, 3587, 3196, 995, 593, 1200, 2648, 267, 855, 19162, 711, 1182, 602, 543, 3081, 968, 296, 9327, 1412, 339, 2307, 1932, 1454, 540, 1200, 2437, 1261, 24864, 1200, 883, 21334, 532, 547, 8751, 827, 519, 26035, 267, 855, 602, 1281, 711, 979, 607, 9709, 855, 1317, 646, 568, 865, 18930, 539, 609, 2348, 30751, 646, 1281, 711, 8275, 30751, 779, 3020, 4664, 2394, 1010, 2063, 7362, 269, 634, 2648, 540, 20289, 543, 30751, 729, 835, 521, 3660, 1247, 1352, 6068, 1010, 18710, 646, 729, 1932, 9420, 547, 1294, 602, 519, 2648, 568, 1152, 606, 454, 27094, 543, 10362, 2115, 616, 1419, 15763, 267, 855, 18562, 267, 1271, 269, 898, 568, 2556, 602, 1004, 1745, 6068, 267, 4941, 267, 543, 2877, 269, 10705, 2053, 267, 1004, 949, 1589, 789, 616, 538, 2648, 609, 1142, 824, 950, 789, 616, 538, 2648, 609, 2648, 3294, 269, 4256, 2115, 616, 711, 1558, 267, 865, 789, 1711, 519, 2856, 540, 2648, 547, 18609, 2933, 741, 2115, 616, 1558, 269, 901, 1523, 568, 1459, 538, 835, 540, 519, 1034, 4583, 4773, 540, 3332, 267, 12077, 19151, 543, 19201, 563, 23562, 559, 697, 3126, 723, 1044, 1031, 547, 3337, 519, 11994, 540, 22228, 2792, 543, 9547, 607, 1134, 607, 10182, 2509, 11509, 2078, 269, 769, 1931, 547, 2226, 543, 1020, 11509, 2648, 2792, 2994, 11129, 547, 581, 9916, 543, 4553, 676, 519, 15185, 269, 634, 7242, 538, 3828, 559, 697, 814, 4843, 11509, 2648, 1498, 26704, 855, 4992, 10858, 543, 10853, 269, 4475, 267, 621, 568, 2653, 585, 519, 3988, 547, 1451, 689, 519, 2984, 543, 3035, 3384, 3347, 543, 15832, 269, 589, 2442, 2528, 568, 2141, 22309, 585, 2679, 26867, 6788, 593, 519, 11509, 3347, 602, 1106, 4337, 5209, 540, 9547, 543, 8456, 538, 2792, 3347, 269, 0, 9213, 649, 616, 2469, 547, 1382, 519, 2497, 543, 3483, 540, 544, 30769, 543, 2978, 10455, 514, 2195, 563, 2171, 786, 2015, 1018, 2326, 649, 1589, 513, 28618, 1223, 581, 1500, 689, 563, 1432, 1919, 596, 1522, 991, 547, 2015, 950, 1818, 513, 28618, 540, 707, 1378, 563, 9213, 707, 4305, 568, 547, 8495, 544, 30769, 563, 2710, 596, 1265, 873, 2653, 888, 2710, 596, 1265, 873, 2182, 888, 1432, 941, 519, 2591, 888, 2710, 596, 1589, 621, 1131, 581, 2653, 547, 1205, 4503, 538, 873, 888, 2691, 596, 723, 8737, 596, 1522, 899, 547, 2347, 513, 28618, 1210, 519, 3095, 2630, 269, 0, 763, 966, 2320, 908, 24897, 568, 1572, 9764, 31954, 5496, 1317, 540, 922, 3350, 18330, 2147, 547, 513, 5858, 563, 290, 821, 8302, 568, 519, 3684, 602, 568, 1500, 909, 540, 1079, 25862, 269, 595, 821, 8302, 568, 5078, 547, 24807, 5420, 3620, 731, 1145, 610, 9875, 22714, 543, 7725, 563, 305, 565, 2401, 8302, 568, 1031, 585, 21432, 11493, 610, 24596, 11493, 269, 3911, 26743, 5066, 8302, 568, 4922, 1031, 585, 6080, 540, 7626, 19459, 267, 3114, 4702, 267, 9160, 267, 18195, 800, 1570, 267, 8860, 1570, 543, 2679, 1570, 267, 3092, 563, 306, 2869, 531, 29976, 267, 607, 835, 540, 519, 1271, 6191, 585, 7626, 19459, 267, 5161, 540, 6771, 267, 18700, 267, 9240, 913, 267, 30981, 267, 12946, 17382, 543, 7626, 17579, 532, 11896, 563, 25842, 8302, 3684, 267, 1373, 1007, 543, 1164, 18026, 267, 568, 513, 2186, 540, 5070, 20536, 269, 898, 568, 5631, 1031, 585, 11493, 5420, 3620, 731, 1145, 2326, 543, 5356, 1434, 521, 1343, 585, 6080, 899, 16749, 267, 4155, 267, 1216, 11122, 3599, 267, 19633, 267, 5656, 267, 9160, 543, 12669, 21395, 267, 3092, 563, 763, 3818, 268, 1097, 331, 5407, 17453, 13409, 8302, 568, 513, 2027, 3937, 585, 2182, 4224, 11493, 563, 295, 600, 1067, 8302, 267, 849, 1572, 17200, 1984, 8302, 267, 568, 835, 540, 519, 2101, 24596, 19854, 585, 28221, 2326, 538, 12669, 21395, 267, 2679, 1570, 267, 3114, 4702, 543, 19558, 1077, 899, 14680, 610, 5755, 267, 3092, 563, 8967, 21789, 4401, 536, 686, 21103, 1154, 3684, 568, 849, 1572, 26703, 4401, 536, 686, 638, 8291, 3684, 269, 898, 666, 581, 9286, 883, 7299, 1826, 543, 8880, 1826, 563, 289, 686, 638, 8291, 3684, 568, 849, 1572, 536, 686, 21103, 1154, 2046, 3684, 267, 536, 686, 21103, 1154, 3684, 610, 2604, 3440, 3684, 563, 297, 1177, 8302, 3684, 267, 849, 3957, 10265, 8302, 585, 2110, 267, 568, 519, 9998, 8302, 563, 763, 5755, 536, 686, 21103, 1154, 3684, 568, 1031, 547, 2046, 2326, 609, 2370, 1216, 1543, 1519, 5755, 267, 7777, 8869, 543, 18195, 800, 2339, 563, 30761, 1984, 568, 519, 1883, 3684, 547, 20836, 519, 16760, 2326, 269, 11831, 1984, 3684, 568, 4922, 1031, 547, 1184, 9160, 267, 3623, 6510, 1587, 267, 2679, 1570, 267, 18195, 800, 1570, 267, 13226, 267, 23907, 543, 4837, 267, 3092, 563, 1805, 821, 11493, 2030, 5631, 5161, 540, 31954, 28680, 267, 10265, 19783, 267, 1764, 8302, 267, 31954, 5496, 267, 12966, 23740, 267, 21438, 5907, 1852, 3334, 267, 543, 519, 2966, 2504, 4390, 568, 476, 2004, 268, 8517, 339, 10774, 563, 306, 663, 1818, 2030, 568, 513, 2186, 540, 2027, 3937, 585, 6721, 2679, 5070, 543, 6149, 563, 325, 1774, 1007, 6419, 3021, 1807, 2030, 814, 5383, 540, 1164, 4398, 267, 1970, 1648, 267, 1164, 4390, 543, 865, 593, 563, 6124, 3819, 3491, 947, 9160, 2030, 568, 7768, 540, 6151, 2326, 11493, 3937, 267, 8860, 3937, 267, 9160, 8860, 3937, 267, 9160, 27414, 29137, 543, 824, 3937, 563, 3863, 1984, 513, 576, 14585, 529, 5033, 523, 538, 2802, 11340, 807, 6151, 1984, 513, 576, 14585, 529, 5033, 523, 538, 2802, 11340, 807, 269, 943, 15245, 1019, 5033, 523, 1984, 627, 337, 12182, 590, 792, 2583, 16353, 9197, 5241, 7233, 25416, 7085, 6732, 13693, 566, 5192, 811, 9623, 540, 21958, 5070, 5599, 1184, 5131, 10004, 943, 15245, 538, 9160, 1984, 627, 337, 943, 15245, 538, 9160, 1984, 627, 337, 330, 1177, 30245, 3653, 3002, 6051, 1379, 5108, 585, 9160, 269, 1984, 5033, 523, 737, 2632, 571, 19241, 528, 2182, 325, 5217, 9093, 12174, 2017, 16988, 829, 531, 27979, 269, 2010, 540, 6151, 1984, 561, 10719, 8860, 1984, 19580, 269, 6151, 1984, 3349, 13274, 619, 2182, 325, 5217, 533, 696, 561, 758, 14515, 1770, 15492, 533, 629, 20891, 5033, 523, 1979, 11535, 533, 629, 20891, 5033, 523, 1984, 5033, 523, 8860, 1984, 269, 681, 514, 857, 534, 561, 664, 5500, 320, 693, 879, 536, 656, 10224, 269, 13565, 24762, 907, 3440, 1984, 31065, 13005, 518, 1695, 4050, 322, 4115, 8302, 986, 28702, 1019, 269, 1187, 7714, 328, 546, 926, 6151, 1984, 533, 3385, 533, 629, 20891, 5033, 523, 269, 6149, 8302, 3684, 689 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6092, 5149, 281, 3474, 534, 5436, 661, 549, 6776, 10374, 12267, 692, 22706, 5426, 281, 5664, 3427, 692, 7072, 912, 5970, 596, 2479, 16545, 1018, 621, 1131, 581, 899, 547, 723, 2706, 335, 10183, 610, 1995, 1945, 824, 16447, 569, 286, 5620, 596, 2479, 9289, 827, 2648, 543, 16007, 538, 28531, 5468, 286, 1403, 865, 267, 1287, 596, 1522, 2972, 2542, 31510, 5436, 2144, 5328, 2110, 2984, 256, 1452, 616, 8941, 602, 9192, 2609, 540, 519, 9490, 543, 8966, 609, 4798, 540, 15832, 543, 6612, 269, 901, 1576, 786, 6338, 596, 547, 519, 9135, 267, 922, 1686, 267, 2442, 21050, 525, 267, 543, 875, 547, 5659, 891, 2010, 540, 5931, 9691, 269, 1284, 3513, 2263, 1585, 24848, 637, 1369, 31510, 5436, 2144, 582, 3821, 1247, 5329, 1919, 2085, 29003, 543, 16614, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 786, 1732, 1174, 1650, 3889, 267, 1915, 1646, 267, 1158, 20671, 267, 543, 5339, 3457, 1031, 538, 5708, 269, 1924, 1577, 781, 4685, 883, 519, 4241, 7706, 540, 31510, 5436, 2144, 5328, 2110, 2984, 2439, 4089, 476, 272, 281, 4197, 3474, 534, 5436, 661, 8527, 3821, 692, 13640, 534, 5436, 2144, 582, 3821, 568, 513, 1826, 540, 5708, 602, 10905, 2609, 540, 519, 31510, 5436, 610, 16750, 609, 11509, 543, 13730, 10207, 269, 6056, 30632, 2231, 267, 3337, 6879, 604, 1562, 267, 15293, 338, 267, 26734, 267, 543, 811, 1107, 782, 7680, 2648, 543, 7287, 3564, 1480, 1620, 269, 2755, 930, 2984, 949, 2270, 9921, 4798, 543, 3871, 267, 789, 849, 2709, 9159, 6386, 1305, 538, 19511, 10600, 1141, 4376, 568, 2009, 780, 7078, 281, 5994, 513, 1158, 1141, 3425, 30598, 609, 544, 1069, 320, 1749, 945, 4865, 22539, 9739, 5827, 540, 1818, 4896, 2887, 7184, 538, 2648, 269, 589, 27503, 2078, 1063, 513, 1762, 812, 543, 513, 30811, 544, 1069, 4660, 4652, 9529, 267, 3695, 741, 2189, 4276, 5103, 741, 3604, 780, 4089, 476, 273, 281, 3778, 540, 3474, 534, 5436, 661, 8527, 3821, 692, 763, 5072, 540, 31510, 5436, 2144, 582, 3821, 12701, 1394, 5553, 267, 5373, 6667, 689, 18691, 267, 13299, 267, 543, 575, 15402, 3332, 269, 7073, 31510, 5436, 2144, 582, 3821, 6591, 8560, 1282, 519, 3735, 476, 736, 628, 2540, 1813, 547, 9565, 4589, 543, 3126, 971, 607, 14732, 19676, 781, 834, 309, 2086, 790, 20048, 2873, 1701, 4653, 267, 3059, 5867, 1683, 2653, 1569, 547, 9118, 2984, 13267, 547, 3309, 4690, 780, 12244, 281, 3194, 1114, 3140, 5712, 543, 2686, 5389, 2404, 609, 31510, 5436, 7919, 630, 324, 3052, 1421, 5259, 10971, 267, 25245, 23766, 1040, 9181, 707, 4681, 609, 15032, 543, 2697, 1455, 8017, 2066, 4529, 780, 4089, 476, 274, 281, 15019, 570, 1886, 525, 538, 3474, 534, 5436, 661, 8527, 3821, 692, 26807, 18596, 18305, 2408, 4749, 538, 31510, 5436, 2144, 582, 3821, 267, 1519, 1384, 265, 1280, 321, 5200, 11146, 281, 1879, 1079, 3197, 689, 1114, 2249, 267, 1514, 5049, 267, 610, 1249, 687, 1265, 2933, 6537, 1927, 5103, 6848, 8155, 543, 6788, 563, 265, 26306, 281, 16992, 10929, 2168, 2242, 799, 1419, 1291, 547, 7096, 2123, 2208, 543, 1582, 22523, 563, 265, 5295, 18868, 281, 10289, 3347, 1141, 835, 7649, 814, 9058, 5759, 3379, 547, 1776, 267, 3056, 547, 1950, 6384, 1063, 873, 780, 30206, 281, 9523, 707, 5172, 7260, 267, 7641, 1397, 267, 610, 1433, 10023, 1022, 540, 891, 21050, 525, 269, 1215, 798, 15888, 946, 891, 2609, 547, 1628, 8082, 543, 4497, 9458, 2496, 4089, 476, 275, 281, 22718, 3474, 534, 5436, 661, 8527, 3821, 692, 2414, 1831, 2565, 3988, 540, 31510, 5436, 2144, 582, 3821, 267, 2015, 891, 3344, 1384, 265, 10886, 1436, 281, 3657, 519, 23233, 1134, 31465, 267, 11541, 267, 543, 5812, 2429, 519, 1650, 888, 265, 17553, 281, 6496, 519, 2278, 1711, 513, 12667, 543, 15138, 1604, 585, 519, 4729, 547, 11200, 888, 265, 18366, 281, 1772, 972, 2614, 24457, 610, 9465, 12042, 1359, 519, 3197, 262, 3853, 888, 265, 27484, 281, 1548, 5817, 6835, 1281, 519, 1650, 6655, 3823, 2648, 267, 14920, 267, 3961, 267, 3092, 269, 2496, 12244, 281, 7994, 513, 6429, 689, 513, 31510, 5436, 2144, 5328, 1650, 543, 2736, 1524, 922, 3334, 1210, 519, 7355, 7396, 1657, 269, 10558, 707, 2079, 547, 519, 1362, 543, 5000, 5955, 780, 6962, 912, 9961, 713, 1576, 1770, 267, 649, 4312, 8268, 519, 10578, 1158, 540, 31510, 5436, 2144, 5328, 2110, 2984, 269, 1411, 1631, 723, 513, 4396, 5748, 547, 5660, 519, 5876, 267, 6988, 267, 543, 9029, 540, 713, 9135, 269, 1306, 596, 3136, 707, 3460, 607, 513, 5467, 267, 3314, 519, 1983, 4121, 1934, 547, 15052, 707, 6278, 609, 1585, 11964, 543, 3029, 540, 3332, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3086, 676, 595, 1815, 23158, 18000, 454, 5575, 3370, 538, 519, 16320, 1108, 968, 14106, 1356, 320, 892, 630, 309, 523, 639, 610, 966, 1460, 523, 4964, 267, 476, 1220, 271, 994, 15648, 9736, 476, 1220, 271, 676, 595, 1815, 23158, 18000, 454, 3086, 594, 6557, 8380, 1250, 3946, 5196, 590, 6387, 779, 17525, 267, 521, 5585, 3905, 609, 17570, 267, 835, 12597, 23510, 2250, 1010, 25427, 607, 594, 18214, 5196, 519, 14541, 269, 3767, 594, 6557, 3843, 711, 547, 1413, 883, 1010, 4064, 1317, 594, 1810, 1406, 917, 952, 649, 3580, 1439, 909, 1927, 269, 594, 666, 1745, 519, 9133, 540, 1010, 15483, 593, 1250, 6418, 25427, 607, 594, 7227, 585, 519, 11350, 547, 8258, 269, 3767, 568, 519, 4090, 594, 723, 31372, 585, 782, 1554, 267, 950, 713, 21183, 30226, 518, 1131, 581, 21736, 896, 803, 269, 3767, 594, 695, 644, 1457, 538, 24736, 563, 23562, 4868, 3764, 3516, 649, 941, 10760, 267, 9817, 4881, 3905, 538, 519, 20893, 5394, 5790, 267, 1142, 540, 721, 726, 28289, 538, 9395, 547, 938, 6191, 267, 689, 3946, 547, 12058, 267, 31840, 31300, 532, 721, 998, 519, 6607, 267, 607, 3728, 607, 2219, 269, 594, 1223, 1745, 519, 1216, 8673, 8728, 540, 12269, 27054, 3429, 1996, 1250, 7916, 270, 3240, 12209, 269, 594, 6785, 594, 729, 711, 2731, 15700, 519, 15655, 13463, 8283, 2011, 267, 855, 519, 8596, 960, 269, 594, 729, 726, 28289, 538, 543, 711, 5094, 689, 1250, 3684, 269, 898, 729, 607, 952, 594, 798, 557, 998, 519, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13640, 534, 5436, 661, 549, 6776, 10374, 12267, 257, 607, 851, 540, 834, 11227, 1315, 661, 8527, 3821, 1315, 26888, 1299, 16262, 3098, 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, 2026, 596, 6330, 707, 1007, 10450, 267, 649, 1174, 602, 14577, 547, 14542, 9821, 543, 4664, 666, 581, 11566, 269, 2334, 781, 1946, 649, 4312, 2813, 713, 3102, 3391, 547, 948, 596, 1745, 4190, 267, 1256, 950, 596, 1810, 1405, 1589, 596, 1413, 621, 780, 1262, 3721, 476, 272, 281, 13760, 1548, 25925, 31283, 630, 1729, 18972, 21143, 6826, 2246, 344, 568, 513, 1950, 1523, 602, 9775, 689, 1268, 547, 1268, 269, 1677, 3425, 267, 5898, 13315, 811, 982, 1175, 2168, 5920, 282, 621, 2882, 7209, 7592, 267, 6015, 267, 11587, 267, 543, 1582, 14092, 1061, 766, 269, 6056, 540, 621, 899, 513, 8949, 11600, 609, 1082, 5820, 1107, 1247, 5654, 616, 835, 12146, 267, 789, 5749, 1405, 519, 1152, 3815, 602, 2306, 2576, 4190, 780, 4002, 3047, 267, 1004, 1419, 12314, 5898, 609, 7907, 899, 1384, 265, 30151, 281, 28214, 6899, 538, 835, 781, 1378, 2960, 454, 265, 9877, 1145, 281, 6164, 532, 1866, 609, 8296, 543, 6568, 454, 265, 24956, 30008, 281, 9861, 3020, 547, 13951, 1510, 5910, 5151, 454, 265, 8682, 13282, 281, 14171, 1416, 540, 835, 781, 2790, 267, 3929, 267, 543, 2168, 1134, 5630, 692, 4322, 3344, 3565, 547, 1018, 3425, 2015, 4190, 269, 3767, 267, 1577, 781, 2263, 875, 547, 11349, 891, 7907, 2439, 1262, 3721, 476, 273, 281, 5192, 19361, 609, 2659, 10610, 5678, 4373, 24109, 753, 5968, 1875, 14620, 958, 998, 1560, 1893, 267, 799, 15920, 11029, 6835, 547, 1346, 1472, 873, 269, 6657, 891, 2241, 11941, 547, 6655, 6015, 543, 25273, 1384, 265, 2878, 8070, 675, 5093, 5776, 909, 2786, 610, 1694, 7381, 609, 17525, 17159, 269, 5994, 513, 5569, 17444, 707, 2212, 2509, 519, 18109, 563, 265, 2878, 292, 6614, 13555, 5093, 28528, 22401, 693, 1004, 1282, 7391, 267, 855, 2057, 31325, 26490, 1947, 269, 13667, 585, 5618, 8090, 540, 3750, 3346, 4553, 676, 9543, 9397, 563, 265, 2878, 10712, 850, 5093, 4354, 557, 707, 17534, 20733, 5594, 267, 6029, 9758, 8788, 269, 3680, 7142, 1159, 3796, 267, 607, 789, 949, 2097, 2066, 1202, 1550, 516, 563, 265, 2878, 21652, 30123, 999, 5093, 2422, 1930, 267, 9350, 5322, 3079, 540, 535, 573, 1326, 532, 610, 15385, 7916, 269, 901, 786, 1118, 596, 2408, 811, 3839, 543, 8746, 780, 8855, 267, 2259, 2306, 3501, 256, 15331, 609, 1114, 2022, 999, 267, 11132, 7215, 267, 543, 17267, 538, 4395, 540, 513, 11604, 547, 1831, 811, 6899, 609, 707, 1007, 15629, 10291, 780, 1262, 3721, 476, 274, 281, 22737, 2659, 23433, 17972, 4373, 9336, 1367, 814, 3982, 4162, 602, 1305, 873, 6306, 269, 5502, 540, 2519, 593, 9228, 20924, 267, 8661, 707, 2189, 2934, 256, 1452, 1522, 1331, 1384, 265, 1133, 639, 783, 4552, 9403, 610, 2681, 454, 265, 24761, 569, 11954, 4064, 454, 265, 17435, 1255, 610, 1954, 1188, 956, 454, 265, 589, 10058, 9224, 3337, 610, 10077, 692, 12648, 942, 547, 5660, 891, 10305, 676, 575, 5074, 693, 3054, 538, 513, 11604, 269, 10312, 593, 519, 2318, 3344, 2864, 982, 23029, 593, 20541, 687, 269, 19244, 14751, 725, 267, 971, 607, 1384, 19285, 2648, 1250, 1496, 684, 1664, 4183, 316, 1317, 621, 2306, 803, 2027, 4799, 257, 7069, 3604, 1118, 803, 1796, 856, 538, 513, 15624, 3010, 1607, 14820, 6521, 2337, 1628, 6015, 543, 10343, 267, 3850, 596, 547, 2234, 5573, 6418, 5898, 780, 1262, 3721, 476, 275, 281, 3763, 27919, 543, 3281, 6842, 4373, 30747, 1145, 568, 513, 4105, 2460, 540, 5898, 269, 4980, 10675, 6568, 676, 8380, 3054, 538, 824, 1004, 781, 10887, 1384, 265, 19415, 8362, 281, 9796, 3007, 547, 1866, 262, 2984, 543, 4145, 267, 6998, 1930, 25804, 2055, 547, 1397, 1719, 563, 265, 8058, 1620, 281, 31158, 1578, 1866, 262, 4606, 267, 4570, 908, 741, 2833, 1510, 10385, 563, 265, 20644, 1489, 281, 3629, 1913, 540, 19015, 610, 6351, 950, 2877, 780, 20797, 4351, 6411, 540, 11587, 3232, 267, 971, 607, 8066, 9885, 585, 21046, 610, 5356, 5360, 9323, 25442, 569, 269, 1452, 1507, 3527, 6536, 4296, 543, 6542, 707, 17519, 2470, 780, 1262, 3721, 476, 276, 281, 26875, 1125, 8682, 4211, 732, 4373, 21982, 1416, 540, 707, 2949, 1134, 5630, 8309, 3648, 547, 4743, 4190, 3330, 543, 856, 269, 5269, 942, 585, 2238, 602, 16138, 880, 707, 2247, 267, 2295, 267, 543, 1560, 1384, 265, 11644, 5781, 281, 18918, 538, 9793, 2168, 2534, 267, 899, 6972, 610, 15198, 267, 547, 5305, 1439, 6973, 1231, 543, 5818, 7099, 563, 265, 2405, 10028, 610, 6001, 281, 5590, 11735, 9602, 8090, 585, 2620, 7244, 5751, 267, 14839, 267, 610, 3274, 11981, 16563, 563, 265, 4045, 609, 6068, 3283, 281, 21480, 2834, 2638, 15564, 609, 2828, 543, 1920, 547, 2226, 2178, 7554, 563, 265, 1473, 592, 613, 538, 12348, 281, 623, 2720, 826, 3860, 18653, 610, 4690, 602, 3142, 7772, 543, 20106, 780, 3528, 26724, 1582, 13282, 267, 596, 3513, 1020, 513, 2631, 540, 3666, 543, 1543, 618, 267, 1818, 621, 4443, 547, 1445, 593, 4835, 5898, 780, 1262, 3721, 476, 277, 281, 4676, 9347, 20134, 32438, 4373, 2005, 781, 2067, 547, 1995, 2942, 4555, 12212, 269, 634, 1883, 568, 547, 5431, 543, 1201, 9347, 891, 3270, 1384, 265, 595, 2255, 2565, 3206, 281, 1879, 596, 5469, 10792, 1582, 2275, 761, 6291, 267, 23249, 543, 11760, 519, 2219, 563, 265, 7420, 2258, 18356, 281, 9105, 3054, 952, 972, 781, 2963, 5885, 519, 9880, 610, 952, 621, 781, 1759, 593, 32601, 6788, 563, 265, 29799, 609, 1064, 14476, 281, 22388, 716 ]

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

[ 3486, 3818, 1606, 1636, 2680, 602, 3576, 1747, 538, 24611, 267, 11908, 267, 2136, 2276, 267, 689, 5147, 476, 866, 547, 4864, 476, 275, 267, 476, 1960, 277, 269, 589, 2594, 476, 3192, 6082, 267, 782, 1699, 594, 8016, 4759, 6082, 267, 3576, 851, 538, 519, 10632, 267, 16030, 476, 1015, 267, 28760, 9845, 269, 634, 4139, 16727, 9730, 20366, 538, 476, 2735, 277, 547, 5094, 519, 14400, 543, 15604, 10632, 267, 799, 1185, 1044, 4371, 538, 519, 1482, 1032, 2094, 476, 4572, 275, 267, 543, 1747, 873, 538, 20367, 1256, 5991, 3518, 1229, 1296, 267, 4098, 538, 476, 1960, 275, 269, 634, 476, 1960, 277, 14400, 10632, 941, 519, 1101, 547, 581, 588, 3042, 538, 513, 1114, 1032, 689, 519, 15604, 10632, 269, 24611, 2968, 519, 15795, 1977, 2749, 547, 3984, 519, 16727, 10632, 543, 519, 3791, 547, 3180, 513, 14400, 16727, 10632, 269, 898, 786, 2611, 519, 2063, 942, 519, 2136, 2276, 814, 18799, 519, 14400, 21396, 2394, 693, 2547, 476, 1708, 275, 563, 763, 21396, 723, 2799, 689, 513, 476, 5655, 3887, 1203, 6735, 609, 7864, 982, 476, 7742, 5256, 15712, 689, 476, 1691, 6082, 547, 513, 476, 4968, 3887, 1203, 23242, 11812, 609, 936, 476, 1015, 267, 1822, 15712, 689, 476, 13078, 6082, 269, 5029, 9088, 585, 519, 476, 1220, 279, 14400, 21396, 538, 19864, 4397, 5111, 476, 1015, 267, 4335, 15712, 547, 1491, 851, 538, 519, 476, 23714, 2621, 593, 519, 1982, 585, 519, 3756, 563, 763, 5542, 1184, 585, 519, 476, 5002, 279, 14400, 21396, 15538, 540, 2185, 536, 1749, 267, 543, 4718, 7507, 5697, 6619, 540, 5507, 267, 12670, 543, 30912, 269, 634, 5542, 729, 1500, 693, 519, 476, 277, 628, 594, 8016, 29140, 538, 5507, 538, 476, 5002, 275, 563, 2005, 6501, 8128, 941, 8600, 547, 3180, 519, 3756, 950, 6778, 26751, 12320, 3780, 30192, 593, 476, 278, 4989, 476, 5002, 277, 267, 14042, 519, 2749, 540, 10878, 1255, 269, 8750, 338, 941, 11651, 1540, 547, 519, 16646, 540, 10878, 1255, 267, 865, 513, 1007, 28379, 729, 2838, 269, 5507, 729, 5697, 585, 519, 1101, 942, 547, 3180, 519, 10632, 799, 941, 4371, 693, 6519, 4975, 7258, 519, 30473, 5174, 761, 880, 1401, 22128, 267, 693, 519, 942, 519, 811, 29810, 2680, 563, 763, 23242, 2470, 540, 519, 2680, 729, 7361, 31083, 611, 15735, 676, 519, 22540, 32003, 538, 799, 22221, 18303, 9845, 543, 19393, 543, 513, 4639, 4436, 7128, 11464, 941, 7166, 269, 12866, 4563, 5181, 24752, 9810, 1235, 5747, 563, 763, 476, 3192, 273, 14400, 21396, 941, 519, 2034, 14400, 21396, 547, 581, 4371, 538, 5125, 267, 1310, 519, 476, 4350, 277, 10632, 538, 12670, 267, 799, 1185, 3144, 1747, 896, 519, 13303, 12512, 269, 9650, 995, 540, 519, 4276, 267, 519, 4639, 4436, 6554, 729, 11235, 547, 1491, 519, 4316, 540, 519, 22540, 21396, 547, 1459, 513, 1007, 267, 11180, 543, 23904, 5125, 547, 519, 1158, 267, 607, 3254, 676, 519, 10632, 262, 4013, 2138, 1729, 267, 834, 291, 773, 1261, 527, 7967, 1975, 773, 548, 2580, 610, 834, 1492, 28292, 10632, 2668, 634, 20446, 540, 519, 10632, 729, 513, 4544, 3859, 20446, 630, 1492, 834, 289, 2431, 6129, 8442, 676, 17305, 331, 589, 545, 615, 267, 519, 14704, 543, 8689, 540, 519, 3308, 17748, 10243, 269, 634, 16727, 544, 2444, 582, 267, 519, 546, 778, 3333, 1495, 834, 310, 531, 10972, 2580, 729, 519, 1101, 13166, 3957, 16727, 544, 2444, 582, 269, 634, 16727, 27684, 11071, 729, 7768, 676, 29464, 1234, 327, 2041, 514, 267, 513, 13959, 540, 26450, 18087, 11391, 325, 1068, 269, 0, 19138, 593, 519, 9864, 10682, 540, 5386, 14919, 1210, 15632, 1547, 13202, 476, 276, 267, 476, 1001, 274, 1547, 27511, 2433, 910, 1473, 25934, 19460, 1793, 698, 282, 2706, 27415, 6500, 282, 735, 4809, 4222, 282, 1547, 4991, 922, 3337, 543, 1287, 4991, 2182, 2989, 998, 513, 1184, 1572, 269, 8114, 794, 19460, 1793, 698, 11493, 5650, 267, 4467, 11772, 633, 12752, 11657, 593, 11272, 20211, 513, 1473, 25934, 1547, 291, 17805, 593, 11272, 20211, 1299, 1473, 25934, 30166, 2167, 257, 568, 5767, 835, 538, 713, 3126, 1373, 3370, 676, 10371, 634, 1184, 2095, 5750, 6029, 1585, 1184, 3268, 1031, 538, 606, 11272, 20211, 30166, 864, 568, 2016, 269, 8431, 269, 476, 272, 10371, 634, 3328, 1793, 698, 5250, 689, 513, 3167, 9095, 19460, 568, 476, 1015, 268, 1428, 4939, 269, 10371, 2353, 1195, 2848, 1564, 585, 585, 3101, 2872, 543, 8860, 2923, 269, 8114, 794, 19460, 1793, 698, 11493, 5650, 267, 11947, 21252, 12182, 19045, 2677, 5285, 584, 1436, 676, 31514, 12071, 343, 1547, 14653, 1793, 698, 9657, 998, 513, 1184, 540, 8143, 3186, 745, 322, 268, 512, 542, 267, 4611, 538, 519, 10371, 4336, 1164, 4908, 15632, 19460, 538, 1931, 547, 1045, 525, 268, 512, 580, 622, 519, 1198, 540, 519, 563, 15648, 9736, 476, 1001, 280, 2298, 1547, 2353, 7126, 27616 ]

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

[ 26102, 268, 277, 543, 26102, 268, 274, 616, 1898, 1317, 938, 1560, 3112, 3132, 873, 593, 922, 1378, 267, 799, 1797, 649, 991, 547, 1205, 873, 998, 938, 11326, 269, 1809, 1018, 4523, 952, 835, 3587, 811, 2442, 982, 519, 824, 538, 938, 6980, 286, 2334, 781, 1141, 1919, 1376, 3478, 4277, 2439, 1103, 1082, 2694, 540, 519, 1158, 267, 3226, 538, 519, 834, 310, 3480, 257, 2732, 267, 1004, 4043, 547, 8532, 1454, 811, 26102, 268, 277, 3379, 547, 26102, 268, 274, 269, 901, 19261, 814, 1044, 8345, 7930, 936, 942, 1813, 547, 1585, 4128, 971, 607, 2242, 538, 1426, 2504, 2409, 543, 7375, 269, 1924, 1946, 1281, 713, 2339, 286, 4270, 267, 3173, 3494, 602, 2348, 1932, 1454, 26102, 268, 277, 3448, 547, 26102, 268, 274, 1223, 1291, 547, 2042, 1524, 519, 4155, 267, 7700, 547, 2152, 899, 8377, 267, 3987, 267, 2295, 2068, 267, 543, 1256, 1978, 2010, 540, 2860, 269, 898, 4992, 17559, 267, 855, 1577, 803, 2491, 2417, 676, 10962, 596, 547, 938, 2706, 2828, 281, 3690, 28193, 631, 823, 2439, 9558, 28193, 8983, 616, 1360, 3579, 2370, 7068, 602, 3744, 946, 547, 1451, 1007, 1919, 827, 938, 4703, 543, 1072, 269, 1452, 8983, 941, 16887, 2966, 547, 1852, 519, 2179, 540, 26102, 268, 277, 543, 26102, 268, 274, 538, 741, 1949, 269, 2368, 2968, 4966, 693, 1818, 3063, 26102, 268, 277, 1247, 1866, 27058, 7432, 26102, 268, 277, 883, 26102, 268, 274, 3079, 269, 2060, 891, 9735, 5759, 267, 3173, 4767, 875, 1142, 1895, 540, 8983, 535, 1563, 3823, 741, 2949, 8171, 780, 763, 2164, 4951, 602, 8983, 945, 1500, 1932, 1454, 26102, 268, 277, 2919, 513, 2362, 4960, 540, 3478, 7210, 609, 10894, 4713, 630, 3697, 3987, 264, 543, 2860, 269, 2201, 519, 16212, 2427, 267, 8983, 602, 10736, 26102, 268, 277, 883, 26102, 268, 274, 18423, 3514, 614, 543, 8902, 269, 30474, 5863, 267, 26001, 2496, 3383, 1631, 596, 1522, 4898, 267, 834, 1432, 666, 594, 798, 547, 1832, 1250, 26102, 268, 277, 543, 26102, 268, 274, 7059, 8119, 4279, 2243, 256, 1677, 2226, 10103, 1063, 891, 1079, 9600, 267, 2119, 4189, 811, 3536, 5627, 26102, 268, 274, 267, 971, 607, 3165, 267, 10808, 267, 543, 5452, 269, 3958, 267, 1904, 585, 5986, 11041, 609, 1447, 26102, 268, 277, 267, 899, 14462, 610, 25636, 3282, 269, 5457, 267, 20208, 568, 1883, 950, 10438, 1022, 2186, 540, 3170, 780, 3528, 1620, 519, 1909, 540, 26102, 268, 277, 543, 26102, 268, 274, 9761, 7408, 538, 938, 4703, 267, 596, 4312, 3144, 513, 2462, 1900, 2509, 4742, 513, 5260, 11803, 552, 831, 256, 5901, 3695, 267, 6998, 2055, 267, 543, 1565, 827, 6484, 1107, 1310, 782, 267, 2921, 1416, 540, 6000, 6238, 609, 6616, 1018, 4422, 3330, 938, 4703, 269, 8414, 15165, 532, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2304, 796, 29446, 2333, 538, 8192, 15060, 268, 277, 630, 333, 268, 277, 264, 4874, 12584, 18260, 9761, 7408, 630, 303, 308, 11902, 264, 543, 6175, 538, 15060, 268, 274, 630, 333, 268, 274, 264, 29706, 11902, 538, 519, 5375, 2732, 14626, 1938, 609, 519, 2518, 4473, 538, 5312, 3676, 269, 6787, 562, 268, 277, 543, 562, 268, 274, 29706, 11902, 6587, 569, 3565, 547, 519, 1646, 540, 5312, 2068, 3788, 11786, 269, 1635, 1210, 1098, 28193, 8983, 5827, 540, 13754, 1944, 29706, 11902, 547, 9004, 1476, 15929, 2188, 540, 2732, 267, 649, 1397, 1934, 602, 27327, 540, 519, 5160, 562, 268, 277, 14672, 268, 274, 29706, 11902, 5223, 5012, 547, 17047, 2242, 538, 519, 8937, 22435, 543, 32740, 543, 16796, 31571, 269, 3690, 28193, 8983, 2111, 547, 936, 335, 28558, 562, 268, 277, 29706, 11902, 543, 3035, 513, 1164, 5160, 562, 268, 277, 14672, 268, 274, 29706, 11902, 5223, 8858, 606, 2799, 1981, 585, 10894, 3676, 543, 2860, 267, 6466, 8983, 2111, 547, 6460, 562, 268, 277, 547, 562, 268, 274, 29706, 11902, 267, 543, 602, 723, 513, 2539, 562, 268, 277, 14672, 268, 274, 5223, 267, 1397, 2635, 4307, 8040, 269, 3776, 1353, 9727, 602, 562, 268, 277, 29706, 11902, 949, 581, 5739, 538, 4430, 543, 5267, 519, 2956, 540, 513, 1970, 5160, 562, 268, 277, 14672, 268, 274, 5223, 538, 4227, 519, 1981, 585, 5312, 3676, 563, 32247, 10108, 267, 1519, 8377, 267, 512, 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, 6092, 5149, 281, 4197, 23942, 1234, 767, 725, 10801, 5384, 692, 7072, 912, 5970, 596, 2479, 9289, 875, 1004, 3357, 547, 3494, 538, 513, 2362, 1379, 286, 2107, 1946, 972, 616, 865, 1082, 10764, 609, 741, 1378, 1305, 540, 4978, 543, 2853, 286, 2290, 1259, 547, 1174, 713, 568, 998, 519, 1523, 540, 10143, 11240, 725, 269, 6056, 540, 10143, 11240, 725, 899, 6835, 689, 513, 10143, 1373, 267, 971, 607, 2696, 267, 2366, 547, 3425, 2429, 1686, 269, 1452, 6835, 1419, 2097, 609, 5583, 267, 3652, 267, 610, 10752, 827, 875, 547, 2661, 513, 1434, 1272, 269, 3683, 942, 267, 891, 6835, 723, 1044, 6394, 543, 5293, 1524, 267, 8108, 519, 4493, 540, 1585, 3909, 5389, 269, 2913, 781, 2263, 930, 1883, 2035, 1644, 547, 10143, 11240, 725, 2439, 4089, 476, 272, 281, 1548, 3657, 23942, 1234, 767, 725, 888, 19667, 710, 11240, 725, 666, 1491, 1082, 3029, 1765, 323, 3195, 338, 267, 22649, 267, 9739, 267, 610, 1256, 2067, 9259, 899, 19711, 28323, 269, 1879, 2043, 1995, 891, 9058, 20825, 267, 789, 949, 4612, 873, 607, 10618, 689, 513, 10143, 2707, 269, 4658, 945, 4309, 891, 6835, 616, 1572, 28556, 269, 11330, 515, 1206, 1404, 513, 2629, 1909, 538, 4687, 519, 5048, 609, 1866, 543, 4543, 873, 1174, 922, 2495, 780, 4131, 781, 2015, 606, 1383, 281, 5994, 6217, 513, 5639, 10213, 596, 547, 948, 1866, 538, 991, 269, 1411, 1522, 1589, 540, 713, 607, 513, 2123, 1289, 547, 2962, 267, 855, 952, 1866, 1376, 6217, 519, 1482, 5639, 267, 621, 1223, 1831, 519, 5748, 540, 513, 1007, 3661, 1062, 10704, 1472, 11587, 543, 8296, 269, 901, 14550, 875, 10143, 11240, 725, 666, 3337, 4984, 543, 3310, 1480, 2623, 780, 4089, 476, 273, 281, 589, 6733, 693, 7756, 2598, 335, 839, 725, 454, 9961, 1686, 267, 10143, 7919, 723, 27333, 3838, 741, 7326, 1282, 3982, 5712, 1634, 607, 7006, 839, 725, 269, 3962, 7006, 18730, 2934, 2189, 4031, 267, 10752, 267, 543, 4808, 5921, 585, 513, 1880, 1895, 540, 1004, 269, 2368, 1455, 7006, 839, 725, 5018, 538, 1082, 3909, 5931, 1331, 1384, 265, 634, 24686, 1105, 531, 2598, 335, 18730, 281, 4438, 713, 1974, 267, 3885, 941, 3366, 676, 24663, 338, 630, 1492, 9510, 5256, 4759, 264, 945, 19500, 607, 5289, 3401, 543, 1500, 3664, 1759, 593, 1463, 2792, 609, 519, 10143, 269, 1323, 6827, 832, 5129, 513, 1713, 1909, 538, 8429, 2059, 5389, 267, 2418, 267, 543, 2984, 689, 5108, 547, 5108, 563, 265, 634, 631, 6242, 545, 2598, 335, 18730, 281, 715, 3139, 1310, 15584, 267, 513, 7986, 12355, 6205, 267, 713, 5736, 4718, 519, 10661, 540, 6014, 1876, 543, 9821, 269, 6206, 3334, 3769, 519, 14210, 16710, 906, 267, 8192, 9993, 267, 543, 13411, 2395, 269, 3509, 540, 891, 2853, 3136, 547, 3337, 17194, 2221, 563, 265, 634, 4168, 2598, 335, 18730, 281, 8567, 7153, 1282, 713, 7006, 18730, 267, 10962, 1007, 10752, 543, 3741, 6273, 676, 4906, 2441, 779, 1272, 543, 5692, 269, 6239, 4798, 31721, 1472, 2648, 267, 19807, 267, 543, 20778, 269, 10271, 5001, 1246, 519, 6426, 267, 799, 3568, 6589, 540, 10143, 4205, 543, 5837, 4245, 780, 4322, 7006, 839, 725, 2709, 3407, 4030, 883, 8103, 781, 9687, 2078, 609, 519, 10143, 269, 1306, 7239, 1689, 936, 942, 267, 865, 1932, 798, 519, 2081, 538, 799, 1004, 13498, 543, 4497, 609, 10143, 6835, 780, 4089, 476, 274, 281, 4208, 5530, 23942, 1234, 767, 725, 888, 8139, 10143, 11240, 725, 2636, 721, 547, 5660, 519, 4763, 540, 3909, 2833, 2066, 4529, 543, 21971, 269, 898, 7512, 6568, 267, 2463, 267, 543, 7279, 950, 25884, 14542, 3661, 1949, 269, 5047, 267, 6313, 3140, 10143, 11240, 725, 3091, 1350, 31663, 525, 883, 519, 8186, 540, 938, 11937, 267, 13031, 741, 13922, 267, 12194, 267, 543, 9909, 780, 3528, 4974, 10143, 11240, 725, 267, 649, 1020, 2565, 3206, 1983, 2556, 547, 5659, 1950, 2093, 543, 10646, 1063, 23610, 1344, 543, 2123, 7664, 269, 1284, 1451, 547, 2307, 2055, 899, 281, 1215, 729, 713, 5048, 4607, 286, 5808, 14648, 621, 267, 543, 1946, 286, 1656, 1034, 11932, 267, 875, 1281, 713, 5048, 1764, 519, 2729, 540, 1346, 945, 9784, 621, 2496, 6962, 912, 1103, 3932, 267, 10143, 11240, 725, 1683, 4241, 9486, 883, 8103, 781, 5571, 1391, 585, 1620, 543, 4276, 609, 1945, 3152, 982, 6000, 269, 5664, 1153, 1053, 666, 4324, 7494, 689, 1565, 827, 3309, 3909, 5389, 543, 9301, 519, 7096, 1764, 789, 723, 1185, 593, 5935, 12977, 2429, 1686, 269, 12056, 609, 891, 3584, 11942, 7214, 2208, 1247, 5009, 1930, 16490, 1145, 543, 17685, 8590, 7071, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12901, 18709, 540, 519, 20227, 314, 17273, 1535, 3495, 4512, 2639, 763, 3778, 540, 519, 5783, 540, 4906, 2441, 540, 700, 2660, 6377, 29513, 568, 849, 519, 1686, 540, 519, 6679, 543, 3356, 540, 519, 2598, 335, 18730, 540, 519, 3505, 1145, 540, 8648, 282, 543, 607, 602, 7006, 18730, 12217, 606, 1271, 6935, 547, 782, 7006, 839, 725, 799, 723, 28263, 621, 267, 1577, 721, 1934, 23754, 538, 1018, 602, 6935, 5161, 269, 1635, 3257, 865, 649, 4927, 723, 513, 1732, 7071, 540, 519, 2407, 1104, 540, 1346, 2621, 799, 1118, 909, 519, 1686, 540, 519, 5783, 563, 288, 7006, 18730, 267, 1510, 4704, 547, 1022, 1808, 3498, 610, 20159, 540, 519, 2165, 267, 568, 519, 957, 540, 7231, 856, 610, 26084, 267, 971, 607, 519, 7006, 18730, 540, 5126, 676, 10470, 267, 519, 7006, 18730, 540, 25736, 610, 3413, 12787, 687, 676, 519, 1688, 540, 3038, 2064, 269, 634, 10999, 513, 7006, 18730, 568, 3989, 607, 835, 540, 519, 1896, 1949, 610, 4703, 540, 1876, 538, 799, 693, 1114, 5712, 2696, 814, 7000, 1010, 2247, 543, 786, 547, 812, 267, 971, 607, 519, 24686, 1105, 531, 2598, 335, 18730, 267, 519, 631, 6242, 545, 2598, 335, 18730, 267, 610, 519, 4168, 2598, 335, 18730, 269, 634, 2262, 568, 849, 3006, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4942, 3342, 4451, 540, 2696, 257, 607, 851, 540, 834, 32628, 1315, 13898, 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, 2026, 596, 2263, 707, 1007, 10450, 267, 649, 1616, 547, 948, 596, 1174, 930, 1898, 2035, 602, 786, 1118, 707, 1995, 811, 11791, 543, 2922, 269, 769, 713, 5850, 267, 649, 3513, 3391, 596, 998, 7384, 519, 11158, 630, 19575, 19965, 264, 12039, 267, 799, 568, 2629, 585, 7863, 3054, 689, 5739, 3141, 12345, 780, 1262, 3721, 476, 272, 281, 13760, 1548, 519, 11158, 12039, 1772, 4373, 763, 11158, 12039, 568, 513, 10230, 1871, 602, 3800, 519, 4222, 540, 519, 3141, 781, 22292, 5982, 8757, 519, 3047, 781, 2627, 269, 901, 4994, 2337, 3589, 519, 1981, 540, 2960, 3441, 267, 3750, 3441, 267, 543, 824, 1072, 2042, 3361, 676, 7050, 4598, 547, 519, 3141, 269, 6056, 540, 621, 899, 513, 9963, 1062, 547, 10332, 596, 950, 621, 781, 942, 547, 1491, 15416, 2439, 5331, 8066, 513, 2027, 3926, 602, 666, 3713, 15865, 1648, 6329 ]

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

[ 2480, 2297, 267, 543, 30064, 631, 2572, 269, 1452, 7786, 949, 849, 2014, 3441, 547, 519, 3529, 267, 2705, 519, 13526, 2541, 540, 519, 5810, 4482, 22404, 269, 634, 22404, 616, 15504, 547, 519, 5810, 538, 1931, 547, 3343, 3940, 1107, 3638, 14947, 593, 519, 3330, 563, 24109, 753, 281, 634, 1152, 2009, 1072, 9651, 585, 519, 3425, 689, 713, 2030, 568, 602, 621, 949, 2014, 11959, 269, 4746, 267, 519, 1480, 2551, 27422, 547, 946, 519, 454, 291, 1047, 848, 281, 634, 3529, 568, 6140, 2068, 1863, 267, 855, 621, 666, 581, 1641, 547, 6978, 9634, 602, 616, 3361, 676, 4551, 610, 13271, 269, 595, 1678, 619, 666, 2014, 519, 8371, 547, 5884, 267, 855, 609, 2834, 22289, 543, 14450, 1282, 3819, 4365, 519, 595, 1678, 619, 949, 581, 14284, 563, 8448, 4277, 5013, 454, 763, 17082, 540, 519, 28397, 1356, 13804, 16288, 729, 18264, 1329, 928, 31522, 1052, 5174, 617, 514, 269, 1261, 729, 513, 8303, 1014, 17199, 602, 5828, 883, 513, 24972, 2159, 584, 626, 267, 602, 3444, 26870, 2371, 563, 268, 3509, 540, 519, 19211, 543, 4054, 689, 519, 13804, 16288, 576, 2801, 1920, 723, 1044, 2291, 550, 585, 6634, 540, 1296, 267, 1247, 519, 28397, 1356, 13804, 16288, 568, 513, 10316, 2813, 676, 812, 563, 268, 634, 3172, 565, 5362, 1118, 513, 8748, 27536, 4159, 267, 609, 519, 11944, 540, 5810, 538, 606, 11606, 267, 25361, 519, 24588, 1354, 519, 3762, 666, 10836, 563, 17273, 31751, 676, 661, 27996, 2142, 529, 1156, 454, 300, 1725, 16288, 1535, 9997, 836, 10005, 281, 28397, 1356, 13804, 16288, 272, 454, 10955, 1189, 674, 269, 16500, 2006, 543, 667, 12447, 717, 269, 23846, 273, 454, 306, 29694, 13804, 16288, 568, 513, 3818, 268, 980, 4364, 267, 10825, 3529, 267, 476, 1839, 3952, 7381, 609, 513, 476, 736, 547, 476, 1789, 20356, 3262, 543, 6505, 267, 10694, 12457, 13626, 269, 12618, 2557, 568, 26815, 3728, 855, 25815, 1524, 14320, 607, 519, 3529, 10301, 827, 476, 736, 26188, 540, 2085, 269, 8479, 4054, 616, 3982, 569, 20005, 267, 4742, 811, 24814, 267, 1287, 5180, 676, 476, 1015, 1296, 540, 2085, 269, 14066, 267, 27967, 267, 3039, 8768, 19512, 616, 5645, 998, 519, 5162, 693, 519, 4388, 540, 28221, 8371, 269, 634, 18742, 1930, 538, 3735, 5162, 547, 2038, 5614, 1354, 519, 3762, 267, 6721, 1804, 267, 3043, 5810, 26484, 538, 11909, 267, 2870, 513, 20498, 8768, 4159, 269, 1717, 267, 513, 3735, 15470, 666, 1419, 25010, 519, 5810, 538, 782, 2127, 1141, 621, 568, 6738, 269, 901, 666, 581, 11212, 14922, 532, 2094, 596, 7227, 476, 7906, 4374, 585, 519, 5810, 547, 2408, 269, 769, 15911, 16374, 267, 519, 3735, 32704, 1359, 25926, 2057, 15470, 3441, 855, 930, 616, 1447, 1397, 344, 982, 519, 2038, 32704, 1229, 3029, 799, 19806, 558, 950, 2370, 3116, 568, 538, 8768, 563, 29557, 27070, 13804, 16288, 1535, 9997, 836, 10005, 281, 28397, 1356, 13804, 16288, 454, 26199, 2012, 281, 13804, 16288, 1535, 9997, 836, 10005, 25460, 10586, 281, 4012, 9539, 302, 6122, 324, 268, 7795, 1535, 865, 334, 2000, 534, 18191, 2465, 5025, 312, 5991, 7795, 5871, 2012, 4433, 2567, 28397, 1356, 13804, 16288, 7731, 281, 13804, 16288, 576, 2801, 22340, 2182, 1465, 10851, 281, 476, 276, 288, 998, 476, 280, 288, 630, 8993, 269, 476, 273, 264, 18882, 281, 711, 5065, 547, 3345, 3013, 12833, 5297, 1761, 281, 2370, 12362, 1761, 21964, 281, 19494, 282, 16064, 610, 1273, 1470, 282, 8708, 610, 1544, 614, 282, 17611, 531, 1512, 282, 12094, 2997, 22355, 281, 711, 5065, 547, 3345, 3013, 7612, 476, 273, 563, 3891, 697, 281, 476, 736, 547, 476, 1839, 3952, 24619, 281, 476, 736, 547, 476, 1789, 3952, 22477, 7833, 640, 281, 12150, 22477, 3337, 281, 20005, 270, 699, 551, 267, 5180, 22477, 5860, 281, 1930, 12618, 2557, 281, 9793, 7956, 675, 281, 21432, 454, 8867, 2378, 11460, 281, 14595, 630, 8993, 269, 476, 274, 264, 23516, 1826, 281, 2241, 23516, 14345, 281, 3003, 267, 3768, 3634, 23516, 3337, 281, 1073, 990, 622, 267, 1073, 14075, 23516, 9006, 566, 281, 533, 4883, 622, 267, 2909, 577, 573, 617, 4435, 23516, 1826, 543, 18094, 281, 28301, 23516, 16405, 3259, 281, 476, 273, 547, 476, 275, 6279, 267, 476, 275, 547, 476, 279, 6279, 23516, 2681, 281, 3039, 12096, 2681, 281, 5835, 12096, 8984, 281, 1397, 344, 7612, 476, 274, 563, 293, 12294, 2681, 281, 11909, 267, 3043, 270, 920, 600, 17320, 2001, 27003, 4162, 281, 1360, 1397, 344, 7612, 476, 275, 563, 293, 8816, 3337, 281, 28608, 267, 12150, 22500, 3259, 281, 476, 272, 547, 476, 274, 6279, 22500, 8720, 281, 3819, 610, 2182, 22500, 2681, 281, 2699, 22500, 4162, 281, 1281, 711, 4482, 7320, 282, 711, 1397, 344, 282, 4829, 270, 548, 2314, 711, 513, 16445, 1966, 454, 23871, 6064, 543, 645, 3757, 2583, 454, 23871, 6064, 11486, 1046, 270, 1962, 534, 2583, 281, 8371, 5323, 641, 282, 1397, 344, 282, 3335, 3818, 2389, 337, 6064, 539, 282, 5247, 985, 2398, 12941, 10421, 281, 2370, 2838, 16505, 720, 281, 11259, 7351, 1032, 1000, 580, 2681, 281, 6960, 7351, 1032, 1000, 580, 11098, 281, 5420, 8381, 1808, 8904, 281, 7164, 454, 23409, 10421, 281, 2407, 3141, 267, 9864, 3141, 610, 9864, 12094, 14606, 7109, 1734, 281, 10036, 282, 5070, 282, 3138, 600, 282, 15755, 282, 1134, 1673, 11712, 667, 3754, 10892, 281, 9793, 589, 14058, 565, 6070, 10892, 281, 9039, 454, 305, 334, 1824, 281, 711, 513, 1966, 15604, 1719, 281, 9811, 4934, 9227, 3529, 281, 9811, 23520, 821, 8417, 281, 27031, 20539, 545, 650, 1756, 530, 2830, 18687, 281, 11630, 28814, 4187, 281, 11259, 547, 10860, 7933, 1047, 1162, 454, 8196, 543, 5004, 454, 763, 3529, 568, 1655, 1031, 607, 513, 19494, 538, 513, 13566, 5544, 1141, 621, 666, 1020, 513, 27101, 13862, 269, 898, 666, 581, 929, 25293, 909, 952, 12630, 2673, 547, 513, 3802, 610, 1273, 1470, 547, 1450, 585, 31355, 24999, 855, 4440, 5654, 922, 1655, 950, 8371, 616, 2451, 547, 5323, 641, 547, 519, 2666, 269, 634, 1769, 12457, 13626, 2982, 1055, 23182, 267, 3226, 1282, 519, 5162, 950, 519, 3529, 568, 11953, 563, 306, 29694, 13804, 16288, 9428, 1655, 538, 513, 13566, 4087, 538, 3638, 267, 5848, 855, 24338, 3037, 269, 898, 786, 20496, 4057, 12775, 585, 1152, 513, 2110, 1974, 540, 942, 269, 12618, 786, 581, 6094, 543, 682, 1375, 344, 538, 513, 26484, 5544, 855, 11807, 538, 851, 12094, 269, 28397, 1356, 13804, 16288, 20247, 10105, 3819, 610, 22279, 3037, 855, 786, 6382, 1332, 1360, 1134, 538, 519, 2749, 269, 3690, 8690, 538, 519, 5614, 267, 1175, 1354, 2208, 5956, 267, 543, 946, 3440, 539, 543, 3276, 331, 11474, 610, 8708, 1242, 2371, 269, 24771, 2371, 798, 711, 899, 547, 581, 929, 25293, 543, 1804, 16398, 949, 711, 2673, 1134, 269, 21541, 2371, 2038, 538, 741, 1272, 547, 1020, 519, 5551, 1106, 563, 23744, 621, 568, 11641, 1863, 269, 2480, 2297, 540, 1585, 2010, 949, 15890, 1000, 12127, 269, 13804, 16288, 4336, 568, 519, 1034, 1455, 4336, 543, 666, 581, 835, 3368, 20878, 14092, 1484, 269, 3683, 342, 5793, 532, 10253, 616, 2356, 6417, 609, 24972, 12734, 3282, 4294, 538, 519, 5614, 563, 307, 592, 760, 6261, 6955, 541, 649, 5271, 559, 630, 338, 817, 2378, 6652, 649, 5271, 559, 264, 20555, 607, 513, 6978, 1295, 518, 950, 1762, 543, 1750, 9749, 9475, 538, 519, 3762, 607, 606, 2937, 563, 763, 3529, 568, 3622, 2068, 1863, 269, 13804, 16288, 949, 581, 1641, 547, 6978, 9634, 3361, 676, 4551, 610, 513, 1804, 1297, 540, 13271, 269, 23516, 9634, 10355, 2154, 3114, 8060, 269, 681, 820, 909, 543, 26565, 540, 7783, 3762, 563, 290, 1678, 518, 3676, 786, 6146, 8371, 269, 595, 1678, 619, 593, 8371, 666, 581, 929, 25293, 856, 269, 5901, 4054, 2635, 609, 2834, 22289, 543, 676, 14450, 538, 3819, 4365, 563, 309, 1068, 545, 650, 1756, 530, 2830, 949, 2014, 2669, 540, 513, 1906, 8371, 610, 949, 6146, 519, 3529, 269, 2398, 2317, 856, 4666, 8371, 543, 6992, 1125, 609, 1164, 9436, 13226, 563, 1607, 3561, 568, 13673, 295, 268, 276, 3393, 267, 835, 540, 513, 3126, 540, 519, 7025, 29088, 22450, 267, 772, 293, 270, 9281, 3008, 22362, 269, 22731, 8313, 4266, 5437, 476, 1960, 274, 269, 4860, 2213, 5412, 476, 1220, 277, 269, 5623, 539, 5988, 476, 1001, 275, 269, 16731, 519, 11581, 3041, 3896, 693, 5291, 2517, 539, 529, 269, 604, 553, 269, 340, 4148, 12975, 563, 10955, 1189, 674, 269, 16500, 2006, 267, 7548, 267, 7025, 29088, 22450, 4972, 282, 667, 12447, 717, 269, 23846, 267, 5449, 12314, 7548, 267, 16581, 7177, 4972, 267, 772, 293, 270, 9281, 3008, 22362, 267, 28150, 525, 6807, 267, 18919, 476, 30444, 1556, 563, 763, 4659, 540, 5253, 543, 16581, 7070, 630, 9281, 3008, 264, 568, 606, 26321, 31621, 26323, 17101, 547, 1683, 1382, 267, 3872, 1344, 543, 824, 2533, 1152, 547, 2043, 543, 5238, 602, 1599, 609, 1875, 1673, 4593, 19303, 609, 2463, 547, 5198, 267, 1212, 539, 267, 2681, 267, 4984, 267, 2085, 267, 9659, 267, 3023, 267, 4638, 10066, 267, 29281, 4567, 267, 3084, 5169, 267, 2797, 8369, 610, 28930, 725, 269, 1280, 811, 1344, 593, 13844, 824, 772, 293, 270, 9281, 3008, 22362, 12326, 267, 3346, 707, 10315, 779, 772, 293, 270, 9281, 3008, 22362, 5604, 563, 308, 2529, 269, 4972, 540, 11982, 267, 772, 293, 270, 9281, 3008, 22362, 6796, 267, 2160, 540, 8419, 267, 17692, 3008, 267, 8419, 589, 1299, 631, 2160, 31913, 22362, 5358, 267, 543, 4425, 1841, 540, 6019, 8189, 619, 23101, 908, 269, 19162, 570, 269, 9255, 267, 632, 534, 585, 772, 293, 270, 9281, 3008, 22362, 563, 300, 1725, 16288, 1535, 9997, 1052, 3570, 454, 2005, 729, 538, 476, 9264, 277, 950, 519, 1360, 1101, 16036, 540, 713, 4583, 10487, 1356, 3172, 16288, 3357, 883, 519, 1158, 269, 898, 729, 26870, 676, 3943, 7762, 534, 626, 18264, 1329, 928, 31522, 1052, 5174, 617, 514, 945, 476, 277, 1296, 1354, 602, 1967, 1500, 513, 3444, 1063, 544, 6155, 523, 644, 1092, 543, 544, 7456, 559, 604, 3271, 320, 269, 898, 18742, 593, 11953, 8371, 609, 18991, 1085, 5034, 267, 979, 1076, 339, 268, 610, 10487, 1356, 11057, 5810, 602, 616, 3043, 3330, 543, 1769, 11909, 610, 1769, 6299, 344, 25549, 593, 519, 3544, 269, 27003, 19512, 616, 3833, 1804, 543, 27967, 267, 543, 2408, 593, 519, 2030, 538, 3735, 4832, 519, 3105, 1032, 269, 898, 6238, 28480, 950, 476, 277, 268, 279, 1296, 2025, 543, 2094, 1287, 18742, 1527, 2224, 569, 543, 28761, 1169, 1032, 269, 27817, 616, 4571, 547, 2620, 3039, 267, 13888, 543, 5594, 530, 8283, 269, 1879, 538, 2407, 6978, 3172, 565, 5362, 616, 519, 16437, 652, 28301, 3376, 548, 8491, 19211, 269, 9521, 922, 3237, 621, 5810, 1360, 2038, 267, 649, 4061, 2303, 9544, 621, 538, 513, 2990, 602, 568, 711, 519, 3636, 652, 538, 707, 4677, 547, 2057, 16349, 15496, 543, 3976, 29400, 3441, 676, 4571, 1606, 7428, 8389, 7370, 269, 634, 3037, 1590, 581, 3638, 538, 5214, 2339, 267, 5594, 15755, 267, 9090, 18654, 6954, 267, 2141, 5848, 855, 711, 6632, 267, 15449, 762, 543, 23295, 1769, 630, 5417, 24435, 1040, 898, 2115, 547, 581, 15273, 3481, 538, 4832, 547, 11677, 607, 1454, 7509, 607, 2009, 269, 19594, 538, 2247, 602, 713, 3172, 16288, 786, 581, 513, 15186, 1804, 21906, 269, 27975, 569, 25836, 547, 22340, 7997, 476, 276, 563, 5353, 548, 322, 21698, 281, 10326, 5489, 841, 454, 25219, 1006, 7874, 3529, 563, 306, 29694, 13804, 16288, 568, 513, 2442, 15496, 20020, 3529, 267, 2356, 607, 513, 3818, 2389, 337, 6064, 610, 1970, 1532, 3757, 4221, 19494, 585, 10651, 610, 1876, 985, 269, 898, 3340, 10690, 267, 15417, 3037, 543, 9793, 7509, 267, 1141, 621, 5810, 1655, 538, 2407, 3141, 269, 898, 18742, 693, 513, 1762, 2085, 269, 3509, 3957, 8677, 616, 2139, 267, 609, 3043, 267, 11909, 543, 1625, 680, 880, 610, 561, 559, 659, 5810, 269, 898, 949, 5555, 2154, 5781, 16516, 1769, 1283, 16013, 2719, 630, 8117, 711, 8209, 1352, 2130, 264, 540, 24526, 1283, 22534, 547, 2226, 922, 4463, 2630, 476, 1839, 12664, 563, 31549, 29549, 27003, 563, 30943, 547, 5333, 563, 300, 1725, 16288, 6398, 9997, 836, 10005, 454, 21206, 5871, 18780, 454, 6347, 10813, 2207, 631, 8980, 301, 5357, 8656, 267, 8863, 2562, 2464, 292, 631, 8980, 301, 5357, 8656, 267, 808, 4338, 3198, 2464, 292, 631, 8980, 301, 5357, 8656, 454, 292, 5550, 610, 1975, 15105, 609, 513, 8899 ]

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