Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 616, 1303, 27434, 609, 4180, 602, 707, 7218, 262, 2883, 2238, 16783, 609, 782, 4143, 4031, 543, 6042, 269, 901, 5539, 3340, 513, 2620, 1620, 540, 519, 1950, 9431, 5251, 543, 513, 7029, 547, 4509, 5683, 4441, 269, 1284, 786, 2263, 1896, 1883, 3344, 540, 7939, 267, 3246, 2796, 543, 4052, 5583, 2059, 519, 1259, 780, 1262, 296, 269, 4197, 27943, 645, 3672, 543, 741, 32018, 4373, 6524, 11362, 883, 1808, 2127, 540, 7939, 267, 621, 781, 1898, 547, 1174, 519, 1585, 3906, 602, 3715, 543, 17997, 891, 3652, 269, 2368, 7986, 5716, 538, 519, 2136, 2276, 1331, 1384, 265, 634, 1530, 15247, 543, 16510, 8189, 630, 306, 4488, 2567, 25461, 609, 7863, 9520, 267, 4509, 4023, 267, 1931, 569, 267, 543, 3608, 6990, 267, 543, 14123, 3854, 5250, 563, 265, 634, 11038, 19098, 11621, 8274, 630, 293, 3008, 289, 2567, 3743, 585, 4259, 8051, 543, 2883, 8989, 4441, 585, 1857, 543, 4357, 3549, 543, 711, 16519, 17416, 3906, 563, 265, 634, 1977, 4659, 540, 26133, 5398, 10055, 1218, 630, 288, 2975, 5183, 2567, 513, 3318, 3919, 602, 5036, 5683, 4441, 543, 1655, 2853, 585, 8713, 2026, 1247, 849, 14957, 593, 15773, 540, 519, 3924, 780, 4322, 8041, 960, 1927, 547, 1711, 513, 23887, 5943, 585, 2883, 8989, 267, 799, 6038, 14014, 6800, 543, 11942, 3972, 538, 519, 19458, 780, 1262, 2862, 269, 21781, 4338, 5288, 17692, 11965, 281, 4139, 20212, 538, 27561, 11621, 4373, 763, 13575, 20504, 539, 19098, 14362, 630, 16598, 4338, 264, 723, 1279, 1044, 519, 3044, 585, 2883, 8989, 538, 519, 772, 2529, 1421, 1247, 1082, 2477, 8415, 519, 4139, 11038, 27561, 11621, 630, 9281, 11965, 1070, 3964, 676, 519, 4139, 19098, 11621, 8274, 630, 296, 3008, 289, 1040, 4014, 1312, 1949, 2832, 547, 1683, 12001, 543, 13380, 2883, 1344, 267, 972, 616, 1713, 3604, 1063, 873, 269, 1280, 1383, 267, 21781, 4338, 814, 811, 1095, 20696, 4808, 3823, 11891, 1942, 2409, 267, 6466, 17692, 11965, 2636, 585, 3152, 8112, 780, 8139, 891, 13103, 568, 2629, 950, 2324, 609, 3486, 7218, 610, 8600, 19597, 730, 2883, 6898, 585, 29505, 14078, 269, 13773, 5483, 827, 5571, 19427, 3646, 1063, 21781, 4338, 543, 17692, 11965, 547, 2327, 707, 1702, 3788, 909, 3562, 15082, 780, 1262, 7656, 269, 7203, 3316, 525, 14114, 343, 2917, 2920, 630, 12569, 311, 21143, 303, 21724, 538, 3210, 547, 2101, 9746, 23215, 1023, 899, 2037, 1258, 543, 2622, 4467, 267, 14298, 311, 6322, 547, 11177, 20090, 6015, 998, 8476, 4835, 8060, 543, 2799, 11413, 269, 6206, 14074, 1860, 2359, 543, 5007, 2912, 6002, 7567, 267, 8506, 9460, 11675, 543, 18435, 11675, 547, 5909, 1518, 2883, 5359, 13948, 543, 25412, 31749, 4170, 593, 20894, 10909, 269, 3958, 267, 8791, 476, 29024, 31433, 5993, 10526, 540, 513, 2754, 781, 4835, 1852, 2497, 543, 5773, 780, 4407, 930, 8044, 602, 14298, 311, 4025, 3768, 826, 11411, 593, 4213, 267, 28288, 2226, 602, 2178, 4835, 8060, 3895, 4977, 2883, 8989, 543, 7413, 12611, 1981, 269, 19361, 1944, 3054, 609, 14298, 311, 4170, 666, 948, 596, 1732, 4196, 15597, 21775, 7218, 543, 6330, 1761, 25354, 780, 1262, 4353, 269, 10748, 3218, 14412, 4373, 31010, 1843, 2032, 568, 14063, 585, 1022, 595, 5183, 7900, 1140, 652, 2533, 282, 4061, 267, 7453, 7115, 3652, 1827, 4205, 1063, 2912, 6002, 543, 741, 7218, 269, 1452, 3652, 10238, 527, 1978, 3347, 267, 971, 607, 23831, 2724, 1063, 6105, 267, 543, 3970, 519, 2010, 540, 1875, 31281, 652, 2533, 602, 949, 581, 3177, 1282, 606, 6278, 269, 5015, 267, 519, 589, 2975, 5183, 781, 8943, 540, 12333, 18430, 14592, 6788, 585, 2623, 543, 8699, 2429, 606, 2912, 3218, 781, 4876, 780, 26835, 32448, 540, 9687, 12496, 540, 2912, 3218, 7115, 3652, 267, 3226, 1346, 5473, 17874, 12417, 543, 6639, 7760, 267, 547, 2057, 1256, 519, 5920, 540, 1561, 3064, 1214, 780, 1262, 309, 269, 19078, 19047, 4373, 20685, 923, 1404, 513, 4105, 1909, 538, 1169, 2460, 540, 513, 595, 5183, 781, 2259, 269, 1520, 17518, 547, 3741, 899, 22637, 267, 8699, 267, 543, 1843, 2032, 18791, 938, 3924, 543, 8992, 3972, 1851, 8639, 269, 1879, 5185, 609, 4101, 3871, 27137, 607, 12423, 6959, 538, 513, 7817, 781, 5638, 610, 25884, 7526, 540, 1719, 1765, 516, 2536, 2590, 547, 519, 589, 2975, 5183, 781, 8943, 540, 12333, 18430, 2488, 3407, 5583, 780, 12234, 267, 2015, 679, 13764, 538, 11173, 2069, 6030, 5059, 593, 7881, 547, 12927, 707, 1620, 543, 3251, 1699, 609, 6932, 2152, 780, 3528, 13215, 519, 14960, 540, 7939, 607, 789, 829, 1555, 547, 519, 595, 5183, 3924, 267, 596, 6542, 6791, 538, 513, 6385, 4657, 2361, 1247, 8195, 5009, 3972, 543, 17258, 538, 519, 19458, 269, 5901, 1565, 267, 2307, 2055, 267, 543, 2611, 6131, 547, 17284, 607, 596, 7832, 593, 707, 3460, 4724, 4742, 513, 9952, 543, 15197, 14468, 1857, 2272, 656, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2691, 10188, 519, 2883, 15796, 540, 513, 2413, 18294, 267, 1620, 519, 3017, 1063, 595, 5183, 543, 18435, 302, 568, 11358, 269, 5637, 5107, 30107, 3982, 9021, 267, 3872, 10080, 267, 543, 4876, 10092, 267, 7700, 19918, 547, 519, 16642, 1072, 543, 7580, 3375, 6194, 540, 513, 1870, 269, 589, 595, 5183, 267, 610, 26133, 5398, 10055, 656, 267, 5713, 607, 513, 3106, 2121, 585, 10220, 267, 2912, 1746, 267, 543, 2883, 8989, 267, 9591, 519, 6111, 543, 1850, 1275, 540, 2883, 2534, 269, 769, 4334, 267, 513, 18435, 302, 267, 610, 12751, 11038, 20229, 267, 6763, 693, 519, 26958, 540, 2883, 22509, 697, 543, 7580, 5718, 267, 23376, 10721, 18083, 2509, 2208, 543, 6617, 269, 634, 30431, 566, 540, 5107, 540, 595, 5183, 543, 18435, 302, 5587, 5809, 513, 8552, 540, 4876, 3255, 538, 8804, 267, 1142, 609, 922, 1270, 15363, 5578, 1305, 267, 2591, 267, 543, 12587, 563, 268, 8713, 2026, 20647, 538, 22111, 2883, 23388, 267, 1519, 10220, 543, 2912, 1746, 563, 268, 18435, 11675, 616, 519, 1164, 7400, 2054, 1235, 3743, 585, 23376, 606, 3919, 779, 2883, 4287, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8802, 1637, 257, 607, 851, 540, 834, 4306, 11070, 312, 15978, 1315, 595, 5183, 630, 290, 1068, 1881, 5398, 10055, 656, 29215, 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, 24789, 334, 781, 21537, 2135, 543, 519, 10417, 540, 5606, 6541, 692, 1103, 6128, 267, 519, 1523, 540, 20581, 814, 2141, 1044, 513, 2707, 540, 22906, 267, 26675, 267, 543, 3006, 1256, 15784, 269, 901, 3184, 12538, 883, 713, 28430, 2856, 998, 519, 7828, 540, 24789, 334, 781, 19433, 267, 799, 2488, 721, 609, 513, 3140, 2796, 543, 5713, 607, 513, 5748, 585, 3695, 811, 7096, 6310, 3741, 780, 313, 523, 334, 540, 18479, 320, 729, 513, 840, 4149, 7095, 5259, 14544, 945, 5189, 1896, 4583, 19433, 525, 602, 13934, 519, 6671, 1620, 540, 2230, 267, 942, 267, 543, 5163, 269, 7324, 873, 267, 519, 667, 747, 30315, 21537, 2135, 267, 849, 1634, 607, 31456, 543, 519, 32202, 18857, 267, 3788, 835, 540, 519, 1034, 11972, 543, 9159, 2042, 538, 6138, 543, 6128, 269, 898, 12651, 2055, 827, 938, 16022, 9787, 540, 5163, 543, 12808, 9696, 269, 2913, 721, 2263, 621, 2417, 780, 5331, 31456, 17040, 1996, 513, 12475, 18857, 267, 4758, 519, 3500, 13442, 513, 2212, 1376, 269, 4340, 547, 24789, 334, 267, 950, 31456, 10301, 519, 1448, 1141, 519, 12475, 18857, 3459, 267, 519, 3662, 1131, 723, 4359, 513, 2370, 20991, 269, 1635, 519, 942, 31456, 6227, 602, 1007, 3845, 267, 519, 12475, 18857, 1131, 723, 6410, 1586, 267, 23344, 5594, 269, 901, 1184, 28197, 28222, 267, 11021, 602, 31456, 666, 2760, 2965, 1780, 519, 12475, 18857, 269, 1717, 267, 16022, 569, 267, 649, 917, 602, 646, 1281, 269, 1215, 798, 649, 31363, 713, 7805, 27171, 286, 1677, 1174, 713, 267, 649, 991, 547, 4983, 519, 2470, 540, 20581, 543, 922, 1909, 538, 6128, 780, 14813, 9548, 14938, 1878, 692, 4263, 519, 2295, 540, 24789, 334, 781, 19433, 6013, 519, 1523, 540, 606, 12808, 5311, 12544, 19588, 540, 2338, 610, 2621, 602, 4422, 593, 11014, 269, 13018, 267, 24789, 334, 3096, 1018, 22697, 1289, 513, 12166, 3126, 267, 13296, 1142, 2165, 568, 6508, 676, 14921, 519, 3105, 835, 676, 513, 3586, 3815, 269, 1280, 3236, 267, 2015, 519, 1739, 5311, 281, 2715, 272, 267, 476, 16006, 267, 476, 26528, 267, 476, 414, 483, 505, 267, 3267, 20467, 3962, 7766, 1297, 568, 5833, 676, 12270, 519, 18631, 835, 676, 1079, 269, 1403, 596, 3136, 713, 4806, 22543, 17802, 267, 596, 616, 7231, 609, 606, 12808, 12166, 3126, 780, 11764, 2719, 5455, 1323, 5606, 9548, 2983, 6248, 10022, 692, 2414, 8207, 24789, 334, 781, 19433, 267, 1577, 781, 1101, 2119, 2040, 2719, 909, 606, 12808, 12166, 3126, 1210, 519, 1383, 5018, 4505, 630, 346, 272, 267, 476, 16006, 267, 476, 26528, 267, 476, 414, 483, 503, 267, 3267, 348, 1040, 18564, 875, 1169, 2165, 267, 1310, 519, 1101, 267, 568, 3160, 547, 3368, 540, 519, 3105, 2165, 269, 4475, 267, 952, 649, 1039, 782, 2474, 689, 519, 2034, 27477, 267, 789, 1106, 1776, 12808, 12166, 3126, 4171, 1455, 5223, 568, 476, 16006, 281, 2715, 16006, 1341, 476, 26528, 1341, 476, 414, 483, 503, 1341, 3267, 20467, 3816, 1046, 2406, 267, 713, 3003, 3126, 8591, 909, 547, 4010, 476, 272, 256, 1411, 1522, 4898, 875, 1945, 9583, 11995, 1223, 2479, 2179, 547, 513, 13113, 1871, 269, 634, 2626, 3322, 930, 15931, 12879, 540, 7182, 267, 513, 4909, 1523, 538, 11810, 780, 21918, 1080, 543, 10088, 2286, 5606, 6541, 692, 288, 3970, 4564, 519, 2623, 540, 513, 1599, 610, 5311, 607, 621, 4485, 513, 1978, 1871, 267, 1419, 20581, 269, 1879, 7234, 12808, 3126, 899, 1346, 1336, 538, 24789, 334, 781, 19433, 267, 8159, 2436, 513, 1880, 3970, 6818, 568, 2629, 269, 4825, 9506, 547, 938, 3312, 1966, 267, 7747, 602, 519, 2040, 540, 519, 1101, 562, 2474, 540, 519, 3126, 2715, 272, 267, 476, 16006, 267, 476, 26528, 267, 476, 414, 483, 503, 267, 3267, 348, 3029, 1776, 13113, 12166, 5311, 1384, 306, 18386, 333, 815, 476, 272, 1341, 476, 16006, 1341, 476, 26528, 1341, 2560, 1341, 630, 272, 270, 273, 8203, 263, 333, 268, 272, 2020, 11372, 17586, 1312, 5011, 676, 630, 272, 270, 273, 1070, 1287, 10208, 519, 4611, 3830, 689, 519, 3355, 835, 1384, 263, 272, 270, 273, 12684, 306, 18386, 333, 815, 476, 16006, 1341, 476, 26528, 1341, 2560, 1341, 630, 272, 270, 273, 8203, 333, 692, 306, 18386, 333, 910, 630, 272, 270, 273, 9385, 265, 306, 18386, 333, 815, 476, 272, 910, 630, 272, 270, 273, 8203, 333, 692, 15542, 528, 856, 590, 18386, 333, 1384, 306, 18386, 333, 315, 16732, 272, 24179, 272, 270, 273, 4297, 815, 476, 272, 910, 630, 272, 270, 273, 8203, 333, 692, 19667, 728, 1312, 5011, 676, 630, 272, 24179, 272, 270, 273, 4297, 1384, 306, 18386, 333, 815, 1496, 272, 910, 630, 272, 270, 273, 8203, 333, 316, 270, 314, 272, 270, 273, 6540, 2026, 562, 9428, 3677, 1510, 3808, 630, 1952, 30294, 20581, 1070, 630, 272, 270, 273, 8203, 333, 3587, 4130, 543, 5555, 11148, 2509, 4642, 269, 4935, 267, 519, 3970, 540, 713, 4082, 607, 562, 4485, 20581, 29776, 547, 1384, 3916, 3799, 15010, 31236, 264, 590, 18386, 333, 815, 1929, 3799, 15010, 31236, 264, 1496, 272, 910, 630, 272, 270, 273, 8203, 333, 316, 270, 314, 272, 270, 273, 316, 815, 476, 273, 692, 1607, 9819, 10522, 602, 4946, 606, 12808, 1297, 540, 10300, 1324, 9883, 2164, 538, 513, 2698, 3259, 540, 476, 273, 4559, 9789, 3169, 3845, 2877, 585, 31456, 547, 20546, 519, 12475, 18857, 256, 6736, 1010, 31278, 3356, 687, 267, 24789, 334, 781, 19433, 4744, 11510, 896, 11826, 22987, 267, 11744, 602, 6128, 666, 8197, 512, 877, 519, 3552, 28458, 540, 20581, 780, 21104, 725, 543, 22627, 692, 8139, 12808, 3126, 543, 741, 2404, 7182, 6585, 2484, 23568, 6286, 3564, 20547, 3504 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5375, 8241, 7467, 19186, 1415, 814, 24218, 543, 1344, 593, 519, 2067, 543, 1514, 1686, 540, 519, 3148, 269, 16731, 26146, 7467, 19186, 1415, 454, 9223, 281, 7316, 568, 26146, 7467, 19186, 1415, 4092, 888, 12585, 281, 26146, 7467, 19186, 1415, 568, 4092, 593, 519, 5045, 5032, 540, 5375, 5245, 269, 2422, 707, 15870, 543, 979, 2047, 547, 713, 4678, 3363, 281, 910, 3374, 269, 271, 2764, 3199, 277, 543, 7043, 3363, 281, 476, 14056, 269, 279, 3199, 6858, 277, 538, 5375, 5245, 910, 593, 519, 3162, 11076, 540, 5375, 5245, 563, 9223, 281, 7316, 666, 594, 1265, 856, 811, 827, 26146, 7467, 19186, 1415, 888, 12585, 281, 19672, 267, 1519, 11147, 543, 811, 666, 581, 1336, 1934, 26146, 7467, 19186, 1415, 563, 2690, 513, 5616, 10934, 547, 713, 4087, 267, 4945, 1934, 281, 23184, 8104, 4041, 30684, 9215, 26146, 7467, 19186, 1415, 454, 5415, 1344, 593, 519, 5045, 29891, 5032, 538, 938, 824, 5375, 8241, 2951, 6840, 10274, 912, 763, 19186, 1415, 568, 519, 9510, 11175, 538, 5375, 5245, 269, 674, 2683, 609, 1686, 267, 11303, 676, 17822, 543, 25825, 267, 543, 513, 1390, 1747, 547, 3643, 1247, 593, 9702, 593, 519, 5045, 5032, 540, 26146, 269, 16731, 19186, 1415, 2221, 563, 293, 8145, 656, 548, 267, 519, 5800, 4975, 267, 568, 4092, 5045, 29891, 540, 3131, 628, 693, 519, 5023, 540, 519, 4210, 534, 5211, 269, 6154, 332, 656, 548, 781, 7524, 3781, 5158, 267, 2575, 6429, 543, 1309, 10623, 262, 2528, 1118, 6154, 332, 656, 548, 513, 3501, 1205, 12537, 689, 519, 11861, 548, 540, 3131, 628, 269, 2142, 2851, 267, 1686, 267, 10918, 267, 18226, 856, 267, 543, 811, 269, 966, 3041, 3951, 674, 3918, 300, 19611, 4041, 454, 763, 20152, 5211, 16323, 568, 606, 1858, 540, 15999, 5898, 593, 519, 7262, 5032, 540, 519, 5045, 7178, 540, 26146, 269, 3245, 519, 27763, 24528, 540, 22084, 1088, 2023, 593, 2983, 8319, 515, 7345, 267, 998, 667, 12584, 28386, 1299, 20152, 5211, 547, 4864, 320, 267, 519, 20152, 5211, 16323, 568, 9735, 269, 966, 3041, 3951, 27107, 294, 2752, 4953, 681, 4353, 2207, 454, 291, 523, 5658, 26146, 568, 835, 540, 519, 1034, 4190, 4025, 2059, 519, 5045, 5032, 607, 621, 814, 7733, 267, 17822, 267, 8933, 543, 6329, 269, 18421, 596, 991, 585, 519, 3501, 5045, 5032, 9702, 269, 16862, 12736, 7685, 616, 2442, 1932, 256, 27084, 593, 16862, 16011, 1519, 10918, 267, 18226, 1299, 1686, 267, 966, 3041, 3951, 667, 2894, 300, 2752, 298, 26146, 0, 305, 4078, 560, 262, 288, 794, 543, 922, 7649, 31506, 341, 698, 686, 16436, 596, 547, 8804, 519, 26016, 1436, 540, 713, 20495, 4104, 2336, 763, 1788, 693, 513, 16145, 454, 268, 7089, 540, 4054, 547, 581, 12630, 281, 476, 278, 267, 18089, 454, 268, 7233, 566, 1858, 281, 476, 275, 269, 276, 25614, 454, 268, 15661, 12630, 281, 5089, 850, 18073, 267, 2836, 629, 6929, 12586, 545, 1470, 12566, 454, 268, 5741, 1826, 281, 556, 16396, 540, 513, 4057, 543, 2192, 1796, 454, 268, 31896, 4005, 281, 11354, 476, 1708, 272, 454, 268, 27872, 281, 623, 9128, 290, 454, 1607, 4104, 540, 476, 275, 269, 2004, 25614, 568, 4092, 538, 519, 589, 514, 8257, 267, 2282, 519, 5757, 540, 519, 1482, 2012, 269, 700, 2299, 267, 519, 1796, 729, 16091, 676, 524, 2106, 2354, 543, 666, 12027, 19095, 269, 595, 2106, 760, 336, 267, 849, 1572, 669, 531, 322, 1749, 267, 2482, 741, 16793, 538, 519, 4054, 685, 19512, 269, 3683, 519, 5614, 267, 519, 16793, 694, 4740, 13802, 543, 2014, 519, 2669, 540, 519, 4299, 15013, 269, 595, 1678, 518, 568, 513, 2068, 3361, 676, 513, 4551, 267, 602, 3123, 3574, 27394, 15727, 269, 634, 1906, 2182, 6229, 4054, 602, 15068, 891, 16091, 616, 711, 3875, 2614, 547, 2327, 519, 4104, 779, 2104, 269, 769, 602, 2463, 267, 519, 2527, 604, 2115, 547, 581, 556, 10809, 539, 563, 763, 1788, 4566, 593, 519, 9544, 4129, 1881, 2249, 267, 5697, 585, 741, 17356, 547, 519, 6728, 779, 20296, 2175, 269, 634, 2067, 20344, 540, 519, 9221, 18133, 4054, 267, 513, 2249, 602, 3226, 7957, 2293, 9265, 267, 568, 12873, 269, 14568, 9862, 547, 2916, 1689, 267, 713, 4104, 786, 2063, 936, 942, 269, 769, 519, 1279, 2165, 267, 519, 4054, 786, 3565, 547, 4339, 2916, 1689, 7064, 547, 3327, 4859, 269, 0, 300, 26090, 2657, 1107, 2657, 6257, 2347, 2168, 267, 2790, 267, 543, 1514, 1134, 5630, 269, 898, 568, 711, 606, 9000, 540, 2068, 610, 8467, 269, 5047, 267, 2657, 568, 606, 12105, 1184, 267, 543, 649, 723, 16854, 1379, 547, 1860, 621, 269, 1924, 267, 875, 649, 3442, 543, 957, 666, 2490, 938, 2657, 1317, 891, 666, 3142, 856, 938, 1898, 1761, 563, 300, 26090, 2657, 12909, 827, 513, 1533, 1141, 519, 2168, 1560, 568, 1863, 689, 19210, 269, 2311, 519, 1482, 942, 267, 9716, 4016, 547, 513, 1268, 779, 2168, 543, 1514, 6617, 269, 1656, 849, 3277, 547, 5289, 267, 3929, 267, 543, 17163, 1134, 5630, 563, 1692, 1772, 634, 6481, 11120, 1006, 2986, 519, 13639, 888, 763, 16840, 540, 782, 4108, 8371, 616, 13886, 547, 1863, 2564, 1416, 269, 2311, 4108, 2564, 6703, 267, 585, 1022, 3028, 5057, 1510, 5279, 563, 5445, 979, 998, 13639, 6481, 2866, 267, 711, 13639, 6481, 12140, 269, 1358, 616, 13473, 538, 519, 1482, 4025, 782, 824, 7189, 616, 13473, 269, 4495, 789, 6430, 547, 4196, 267, 789, 1205, 8036, 538, 875, 519, 4108, 1281, 4915, 563, 763, 4108, 30216, 2564, 2126, 585, 22307, 4536, 538, 519, 8136, 269, 634, 5318, 8560, 540, 519, 942, 713, 568, 3177, 676, 4108, 2564, 10986, 538, 4108, 2564, 6703, 269, 1403, 513, 22307, 1512, 568, 5219, 856, 585, 1945, 267, 971, 607, 513, 20614, 1416, 8502, 711, 2139, 693, 519, 4108, 6413, 267, 519, 4108, 17188, 585, 621, 269, 3245, 519, 22307, 4536, 685, 1448, 540, 2070, 267, 972, 568, 1100, 3915, 267, 543, 1100, 2724, 2242, 3946, 563, 306, 1245, 4536, 543, 741, 3885, 1205, 1863, 1416, 689, 1022, 4108, 2564, 9744, 269, 8616, 267, 952, 789, 2661, 1932, 2484, 2476, 267, 789, 616, 4988, 998, 570, 878, 732, 269, 570, 878, 732, 568, 519, 6406, 1014, 2657, 543, 6481, 5358, 540, 519, 31538, 539, 7896, 563, 1692, 13639, 12287, 6875, 5516, 2986, 4256, 2657, 12287, 958, 888, 763, 2123, 2657, 540, 634, 13639, 1004, 607, 789, 616, 2907, 3514, 543, 1434, 538, 1072, 13030, 269, 634, 4390, 547, 1491, 5279, 540, 741, 2657, 676, 2679, 6857, 3664, 547, 581, 2635, 269, 898, 711, 1152, 4016, 547, 519, 2168, 1134, 5630, 540, 606, 1367, 269, 1809, 849, 2882, 3929, 267, 7214, 267, 1514, 267, 2804, 267, 543, 824, 2127, 540, 1272, 563, 10890, 2259, 568, 711, 513, 3044, 2165, 6444, 607, 513, 1114, 3364, 269, 898, 4992, 811, 899, 513, 21055, 5134, 4920, 3175, 602, 7012, 1406, 12261, 883, 30351, 658, 10083, 269, 1656, 849, 267, 621, 568, 513, 1267, 540, 513, 10956, 540, 2576, 779, 15458, 8223, 563, 763, 1152, 1259, 547, 1095, 2541, 513, 4052, 946, 540, 602, 2165, 568, 547, 8806, 9192, 519, 8847, 540, 1312, 1913, 547, 27043, 513, 21055, 6609, 540, 1142, 2262, 563, 7617, 568, 711, 519, 4214, 596, 1616, 269, 6657, 568, 2404, 609, 2657, 543, 1034, 3318, 2564, 29492, 269, 6271, 5650, 267, 538, 824, 1913, 267, 513, 3318, 2564, 610, 5959, 1870, 267, 568, 2356, 513, 4357, 2259, 855, 9444, 2564, 4648, 563, 1692, 1223, 2142, 6657, 6153, 2657, 888, 19865, 568, 1898, 547, 2226, 543, 3232, 2259, 2986, 1434, 2657, 269, 2334, 568, 513, 1455, 4082, 269, 8616, 267, 602, 568, 513, 2370, 1114, 1317, 602, 3096, 519, 2259, 607, 513, 8231, 543, 2657, 607, 513, 10902, 267, 799, 2306, 811, 2631, 609, 1312, 1913, 563, 22428, 602, 568, 606, 4977, 24045, 6031, 547, 519, 2796, 689, 799, 596, 6508, 707, 4082, 269, 2334, 666, 5581, 602, 6031, 607, 513, 2834, 4356, 540, 9716, 25700, 1036, 6036, 543, 2238, 971, 607, 20697, 269, 589, 8770, 1673, 1619, 5672, 1258, 22021, 28394, 2331, 2898, 5214, 3536, 2732, 267, 8516, 5751, 267, 543, 14785, 2168, 2238, 269, 1656, 849, 1585, 16650, 267, 10952, 267, 543, 5289, 19773, 338, 563, 22998, 856, 4679, 10894, 2557, 267, 6087, 2597, 2530, 267, 18565, 267, 543, 10909, 6091, 269, 4746, 267, 621, 666, 3986, 11558, 543, 3666, 563, 10890, 568, 519, 1646, 540, 1480, 1761, 267, 799, 666, 581, 2123, 267, 6848, 267, 543, 2518, 269, 898, 568, 513, 1184, 602, 5170, 2429, 513, 10715, 269, 2311, 1022, 1448, 538, 1272, 267, 835, 779, 2657, 568, 7000, 676, 782, 519, 2250, 2188, 267, 782, 519, 1699, 5079, 267, 543, 782, 519, 7506, 1700, 514, 4156, 543, 5007, 1700, 7474, 5905, 721, 269, 0, 30787, 3723, 593, 11397, 10785, 543, 2679, 1007, 5321, 1851, 519, 6801, 723, 1279, 1044, 519, 7706, 540, 2257, 5708, 267, 855, 1312, 616, 1196, 3101, 6251, 547, 4742, 513, 4641, 269, 17437, 4066, 609, 519, 1761, 547, 4412, 601, 14361, 543, 5512, 519, 6228, 540, 31373, 14111, 13279, 267, 723, 13631, 2101, 1719, 543, 7616, 538, 2487, 1296, 269, 1403, 789, 666, 581, 9108, 8045, 267, 519, 1267, 1131, 581, 513, 1900, 268, 4219, 538, 938, 2702, 547, 2291, 538, 543, 2951, 998, 2230, 563, 3719, 2810, 13253, 1063, 1158, 7060, 543, 519, 1212, 9429, 2113, 10560, 5314, 540, 2230, 1683, 513, 5906, 4282, 585, 713, 6046, 4838, 269, 3776, 5108, 779, 2230, 5198, 568, 1134, 896, 1259, 267, 9141, 711, 1152, 676, 519, 6891, 540, 3408, 267, 855, 849, 519, 7287, 547, 20441, 538, 513, 1007, 16222, 540, 2112, 563, 4263, 519, 2295, 540, 3592, 782, 6046, 2029, 568, 519, 1184, 540, 31612, 267, 538, 799, 606, 11046, 10943, 1080, 6306, 267, 16089, 513, 5458, 2179, 540, 1648, 538, 519, 1106, 540, 3002, 269, 1879, 513, 6046, 19720, 568, 4547, 883, 513, 968, 322, 15560, 892, 1533, 267, 519, 7920, 3002, 689, 513, 6417, 5832, 5114, 666, 581, 1031, 547, 5352, 5201, 267, 607, 538, 519, 7366, 540, 6046, 1379, 2371, 5665, 593, 3047, 2221, 563, 288, 14361, 610, 606, 31373, 14111, 3490, 609, 513, 1507, 6046, 19720, 1131, 723, 513, 4712, 3761, 540, 1379, 585, 1272, 1489, 267, 3002, 543, 1022, 824, 2115, 20691, 949, 723, 267, 1510, 1373, 8200, 593, 7920, 7943, 610, 513, 3586, 3761, 540, 4492, 689, 3047, 563, 763, 11606, 540, 1648, 6383, 689, 513, 1507, 2527, 540, 6046, 4492, 1797, 519, 27668, 540, 14361, 676, 6046, 1648, 1223, 581, 5393, 3608, 267, 10300, 1324, 519, 2951, 942, 547, 9370, 267, 2687, 547, 930, 9193, 269, 901, 1131, 20427, 2569, 20691, 685, 4598, 547, 519, 13818, 5982, 1459, 538, 954, 17839, 8767, 2230, 267, 543, 519, 5626, 2566, 540, 519, 3460, 267, 607, 1134, 607, 519, 2200, 2877, 269, 17437, 27668, 568, 849, 4397, 547, 5512, 2484, 3152, 812, 4141, 12320, 4599, 1006, 982, 568, 4867, 15164, 563, 763, 3864, 6611, 10837, 779, 4566, 585, 6046, 27668, 616, 2864, 16434, 454, 763, 9153, 540, 22231, 538, 2230, 7140, 1018, 949, 6382, 723, 1044, 513, 2029, 540, 17033, 3621, 1719, 883, 513, 2339, 540, 3084, 20237, 269, 1306, 519, 2112, 538, 12907, 814, 3254, 267, 15408, 1631, 1404, 513, 4105, 1909, 538, 6671, 13137, 267, 543, 519, 2136, 2276, 267, 3624, 267, 3127, 543, 6576, 723, 5063, 782, 7152, 4550, 1606, 520, 22972, 9604, 269, 2311, 513, 2046, 5618, 532, 4505, 713, 1032, 267, 513, 9972, 2475, 4108, 4013, 11329, 569, 10294, 602, 519, 2197, 729, 968, 2819, 547, 4339, 9522, 697, 538, 2230, 952, 649, 723, 547, 9731, 763, 5198, 568, 593, 547, 2744, 519, 5413, 602, 6046, 27668, 1131, 1683, 538, 971, 513, 4339, 269, 634, 23227, 566, 9412, 564, 585, 3397, 850, 595, 529, 331, 12762, 15051, 630, 291, 571, 1723, 264, 10872, 267, 2196, 676, 519, 2475, 4972, 540, 16470, 538, 5698, 609, 715, 14505, 814, 513, 1269, 271, 269, 276, 16818, 630, 11366, 271, 269, 275, 16818, 264, 4579, 609, 24522, 515, 539, 9410, 547, 1020, 513, 6046, 14617, 14361, 267, 547, 581, 7152, 538, 3047, 10739, 676, 476, 1708, 278, 563, 305, 17892, 779, 715, 4157, 23127, 1788, 6663, 547, 6542, 519, 2029, 538, 476, 10711, 271, 267, 1247, 3624, 568, 5156, 547, 581, 26490, 1947, 10115, 538, 513, 2647, 2039, 540, 2230, 4066, 267, 1519, 6046, 1379, 543, 27668, 563, 763, 5397, 547, 20441, 28250, 331, 12762, 2230, 267, 610, 519, 1858, 1063, 519, 3047, 543, 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 ]
[ 267, 9282, 594, 4250, 711, 2696, 267, 6862, 2543, 812, 282, 2943, 1317, 713, 30612, 8373, 628, 803, 267, 594, 786, 1285, 3188, 1200, 267, 561, 652, 676, 1200, 31934, 4947, 1352, 649, 776, 803, 1848, 968, 295, 1046, 2223, 1094, 603, 2441, 267, 968, 6343, 519, 24407, 9794, 1094, 603, 1848, 968, 4517, 4927, 711, 2696, 1285, 3188, 1010, 1378, 1528, 267, 799, 3956, 1554, 543, 3781, 21349, 1864, 286, 1765, 296, 2995, 596, 602, 646, 786, 1285, 3188, 873, 3432, 1176, 3034, 1607, 568, 4061, 513, 1360, 6899, 1612, 762, 547, 971, 540, 519, 25598, 607, 616, 896, 2182, 6165, 676, 2601, 540, 9409, 2367, 267, 741, 1522, 543, 28112, 15967, 281, 585, 676, 621, 649, 616, 6026, 547, 3494, 543, 2503, 267, 602, 2696, 267, 1498, 585, 513, 1247, 646, 3100, 996, 711, 547, 2543, 267, 2943, 786, 267, 538, 1813, 942, 543, 4005, 267, 8451, 543, 1305, 971, 538, 3106, 689, 873, 602, 25858, 693, 873, 282, 25360, 332, 1535, 4512, 269, 476, 275, 563, 4131, 519, 1434, 4168, 7281, 2141, 282, 1577, 1864, 7281, 267, 543, 711, 25861, 693, 3100, 532, 17799, 282, 585, 952, 519, 30612, 676, 1104, 29774, 7173, 9229, 609, 519, 24407, 9794, 267, 875, 1454, 811, 4927, 646, 609, 1010, 31676, 12429, 269, 968, 296, 2995, 596, 2223, 3081, 2441, 267, 968, 7474, 646, 786, 1285, 3188, 873, 3432, 1176, 3034, 3719, 1631, 267, 585, 11047, 1276, 607, 713, 1612, 762, 556, 5995, 628, 711, 630, 810, 2047, 264, 519, 4057, 5398, 534, 538, 519, 1257, 267, 4061, 938, 7083, 5956, 1586, 267, 543, 8591, 547, 602, 824, 1612, 762, 267, 713, 1612, 762, 799, 594, 723, 6074, 585, 1250, 1257, 282, 676, 799, 646, 1374, 996, 1079, 1919, 281, 3689, 267, 634, 24235, 540, 519, 10583, 543, 1582, 8410, 576, 1243, 1912, 541, 1047, 324, 281, 19627, 267, 634, 9870, 909, 543, 7067, 540, 519, 5641, 1524, 543, 632, 915, 539, 5398, 534, 269, 1656, 7747, 621, 267, 607, 676, 519, 1101, 1612, 762, 646, 30109, 1374, 996, 519, 8323, 540, 1346, 602, 616, 896, 519, 3946, 540, 16970, 1119, 7847, 267, 865, 676, 713, 646, 1374, 996, 519, 8323, 540, 1346, 602, 9114, 896, 519, 4452, 543, 11411, 540, 513, 16944, 543, 771, 638, 2884, 539, 25903, 563, 1607, 4061, 568, 513, 1612, 762, 602, 568, 2407, 540, 13737, 4313, 547, 971, 540, 519, 5609, 2996, 538, 519, 1158, 602, 616, 24571, 3022, 609, 16203, 543, 2631, 540, 5609, 282, 543, 602, 9114, 896, 519, 31536, 687, 540, 267, 543, 602, 616, 9141, 547, 2696, 676, 519, 2631, 540, 519, 10385, 602, 585, 5609, 568, 1813, 21349, 873, 563, 1103, 1250, 7829, 540, 713, 1257, 267, 594, 4927, 723, 2463, 547, 891, 1919, 1765, 454, 272, 269, 1677, 519, 7606, 538, 519, 1257, 563, 273, 269, 1677, 519, 2783, 540, 519, 7606, 538, 519, 1257, 563, 274, 269, 1677, 519, 3932, 602, 2441, 2306, 2390, 873, 1312, 563, 5575, 267, 1280, 519, 7606, 269, 1358, 941, 267, 607, 596, 1294, 267, 2484, 835, 689, 1776, 538, 741, 1378, 31536, 542, 540, 2933, 282, 835, 1434, 267, 519, 824, 3983, 282, 855, 2943, 538, 519, 10385, 540, 519, 1876, 267, 1312, 7567, 267, 1312, 519, 1482, 267, 1312, 5609, 2996, 282, 585, 789, 1312, 11542, 538, 991, 540, 23502, 269, 6936, 267, 519, 1101, 5018, 1705, 711, 1294, 621, 267, 607, 519, 824, 4057, 5609, 1676, 1705, 282, 855, 602, 5621, 699, 628, 711, 519, 2013, 281, 646, 602, 568, 538, 519, 10385, 540, 519, 1876, 513, 5609, 1676, 267, 568, 538, 519, 10385, 540, 519, 1876, 585, 5609, 28715, 267, 1498, 538, 1010, 1378, 10385, 646, 581, 2479, 865, 22233, 563, 24464, 1590, 711, 581, 24565, 267, 610, 20582, 267, 2687, 547, 1018, 2933, 798, 1589, 267, 855, 2687, 547, 519, 2357, 18743, 543, 4845, 602, 635, 996, 856, 540, 519, 5023, 540, 2696, 827, 873, 269, 3767, 267, 519, 4845, 540, 2696, 568, 267, 968, 5472, 723, 5609, 2740, 281, 892, 968, 2467, 568, 9039, 22233, 267, 1100, 267, 711, 835, 282, 892, 7931, 269, 25831, 269, 898, 568, 1100, 2339, 267, 1287, 267, 1018, 519, 1912, 541, 1047, 324, 1705, 1589, 540, 5128, 282, 2696, 676, 1010, 2262, 554, 987, 29064, 1864, 513, 5609, 1676, 281, 513, 5609, 1676, 267, 676, 2601, 540, 3312, 5609, 282, 513, 5609, 1676, 267, 676, 2601, 540, 4890, 1098, 326, 1833, 269, 12287, 958, 267, 4061, 267, 609, 4704, 547, 519, 3020, 2470, 540, 741, 1533, 267, 789, 1312, 941, 5609, 2996, 267, 543, 1312, 676, 519, 1876, 896, 18149, 31766, 269, 6936, 267, 519, 5398, 534, 779, 682, 2889, 1910, 729, 21286, 282, 855, 519, 1912, 541, 1047, 324, 779, 682, 2889, 1910, 729, 27808, 281, 1010, 2295, 267, 1010, 9997, 267, 1010, 6891, 267, 729, 607, 28067, 267, 543, 1185, 607, 1454, 519, 20575, 540, 5609, 267, 607, 1185, 519, 824, 538, 1010, 1272, 610, 6643, 563, 30772, 267, 1306, 547, 741, 2175, 630, 296, 798, 711, 1611, 676, 2783, 267, 865, 1454, 513, 4356, 540, 2247, 267, 607, 519, 1533, 602, 789, 1185, 1142, 540, 873, 2322, 2933, 883, 676, 602, 2247, 4700, 968, 763, 835, 2223, 3081, 519, 1257, 267, 968, 13195, 513, 1912, 541, 1047, 324, 267, 519, 824, 513, 5398, 534, 1848, 589, 1912, 541, 1047, 324, 281, 602, 568, 267, 835, 602, 554, 987, 6074, 547, 5128, 971, 513, 1576, 540, 1272, 269, 589, 5398, 534, 281, 602, 568, 267, 835, 602, 554, 987, 6074, 547, 5128, 971, 513, 1576, 540, 1272, 269, 1452, 2474, 267, 4061, 267, 1352, 342, 519, 4129, 6030, 540, 1272, 602, 789, 1185, 2322, 2933, 883, 269, 634, 1912, 541, 1047, 324, 267, 607, 646, 2219, 267, 1185, 2322, 5128, 883, 513, 2783, 585, 13140, 543, 18710, 282, 855, 519, 5398, 534, 729, 585, 713, 1158, 543, 1010, 561, 755, 338, 269, 7316, 1150, 950, 519, 1912, 541, 1047, 324, 6763, 538, 519, 11454, 267, 646, 30107, 996, 540, 5128, 543, 1434, 2783, 267, 855, 18149, 333, 996, 519, 5398, 534, 267, 543, 15280, 569, 538, 557, 580, 515, 628, 1996, 1864, 269, 1809, 267, 607, 594, 1767, 267, 741, 2123, 1533, 267, 676, 519, 1876, 267, 729, 711, 693, 782, 4957, 269, 634, 1912, 541, 1047, 324, 1500, 5128, 2760, 519, 1732, 282, 519, 5398, 534, 849, 705, 1712, 538, 1010, 1747, 563, 29012, 519, 5398, 534, 568, 1934, 1336, 547, 973, 656, 267, 543, 1065, 550, 540, 1010, 2783, 267, 543, 540, 519, 2783, 602, 646, 1185, 2322, 5128, 883, 282, 543, 519, 1912, 541, 1047, 324, 547, 30107, 540, 1010, 269, 1809, 519, 5398, 534, 779, 1065, 550, 766, 729, 711, 540, 5128, 267, 855, 540, 2696, 267, 945, 666, 849, 267, 9493, 320, 267, 543, 3006, 621, 568, 10423, 630, 8002, 338, 476, 1460, 4700, 646, 546, 1054, 267, 1118, 1912, 541, 1047, 525, 849, 1065, 550, 540, 602, 2783, 602, 789, 723, 6074, 547, 581, 538, 2933, 282, 5845, 269, 25831, 269, 476, 274, 1700, 279, 269, 634, 1912, 541, 1047, 324, 267, 4061, 267, 538, 862, 2056, 540, 5128, 267, 2306, 5128, 2760, 519, 1732, 282, 519, 5398, 534, 849, 267, 538, 18149, 940, 540, 5128, 267, 2306, 5128, 2760, 519, 8338, 269, 715, 599, 267, 733, 337, 926, 3772, 267, 519, 1912, 541, 1047, 324, 267, 676, 862, 2056, 540, 5128, 267, 2306, 5128, 1454, 519, 8338, 267, 2357, 269, 476, 1691, 282, 543, 519, 5398, 534, 267, 676, 18149, 940, 540, 5128, 267, 2306, 5128, 1454, 519, 1732, 269, 968, 296, 2995, 596, 630, 338, 904, 2441, 264, 713, 812, 4682, 1524, 547, 1010, 2777, 20582, 2864, 982, 519, 824, 282, 585, 1169, 835, 602, 608, 5306, 996, 5128, 4927, 581, 705, 1078, 281, 543, 646, 602, 18803, 628, 5128, 4927, 581, 608, 531, 1540, 3034, 3719, 267, 594, 2161, 267, 607, 547, 2367, 779, 862, 2056, 540, 2933, 267, 9493, 320, 267, 1498, 1866, 1058, 862, 754, 873, 849, 267, 602, 1285, 320, 850, 628, 267, 547, 2696, 268, 1189, 267, 4986, 693, 782, 269, 968, 2690, 711, 646, 602, 862, 754, 996, 5128, 568, 9516, 267, 855, 7247, 519, 7083, 862, 754, 996, 1848, 1924, 1287, 267, 2367, 538, 968, 1889, 20011, 2933, 676, 2933, 267, 543, 9236, 2933, 1851, 2933, 267, 616, 711, 8797, 282, 892, 476, 273, 4856, 269, 1535, 269, 476, 1321, 563, 3086, 267, 713, 729, 519, 1259, 540, 519, 1912, 541, 1047, 324, 282, 594, 993, 711, 267, 1094, 603, 646, 267, 607, 824, 2367, 281, 594, 993, 1100, 970, 10407, 518, 267, 6862, 24407, 267, 1100, 2937, 19907, 267, 6862, 2943, 607, 713, 5398, 534, 563, 2108, 10521, 2367, 4682, 909, 883, 519, 11454, 547, 7281, 282, 892, 543, 789, 1079, 267, 607, 594, 1767, 267, 607, 6587, 835, 547, 519, 824, 267, 607, 1022, 1079, 2367, 602, 2479, 4682, 555, 2416, 547, 7281, 269, 2290, 540, 873, 729, 936, 22233, 267, 543, 519, 824, 29063, 936, 1454, 269, 2368, 1131, 723, 2219, 267, 1185, 789, 711, 676, 519, 2262, 540, 2441, 1044, 6382, 4330, 267, 602, 789, 1185, 1044, 1312, 540, 519, 1482, 4984, 282, 585, 789, 1312, 4682, 909, 883, 519, 11454, 547, 7281, 282, 9493, 320, 267, 1312, 547, 7281, 267, 543, 602, 693, 519, 1482, 942, 267, 607, 952, 789, 1705, 621, 676, 13393, 267, 676, 6876, 282, 855, 972, 729, 1100, 971, 3364, 269, 634, 835, 729, 513, 1912, 541, 1047, 324, 267, 519, 824, 513, 5398, 534, 281, 585, 865, 1094, 603, 519, 1310, 1913, 281, 543, 4061, 7606, 607, 6587, 607, 1769, 543, 14334, 267, 607, 3595, 543, 1216, 282, 594, 1611, 267, 607, 547, 741, 31536, 687, 835, 540, 1776, 269, 634, 1912, 541, 1047, 324, 1223, 711, 705, 728, 519, 5398, 534, 267, 6862, 1223, 519, 5398, 534, 2156, 758, 519, 1912, 541, 1047, 324, 282, 543, 2943, 1312, 4682, 909, 883, 519, 11454, 547, 7281, 269, 898, 568, 9490, 547, 1294, 267, 543, 2943, 621, 568, 2938, 267, 602, 2367, 3444, 538, 741, 8186, 267, 3444, 538, 741, 3741, 267, 3444, 538, 741, 31536, 687, 282, 9493, 320, 267, 543, 3444, 538, 741, 19001, 1932, 267, 1058, 2943, 2743, 1927, 538, 519, 11454, 547, 7281, 563, 2108, 10521, 2367, 282, 892, 2367, 711, 540, 519, 1647, 4990, 267, 543, 873, 1932, 13603, 856, 540, 519, 1655, 543, 10782, 602, 729, 281, 1079, 2367, 267, 513, 1912, 541, 1047, 324, 267, 543, 513, 5398, 534, 563, 2414, 581, 513, 1912, 541, 1047, 324, 729, 538, 1346, 2395, 18886, 4378, 24461, 585, 4984, 267, 543, 585, 2868, 1465, 540, 1272, 269, 589, 1912, 541, 1047, 324, 729, 513, 812, 540, 22644, 543, 1065, 1393, 1851, 519, 7642, 267, 1498, 621, 568, 513, 2165, 540, 1065, 25209, 609, 721, 282, 3116, 6754, 1131, 711, 693, 971, 513, 942, 607, 646, 1705, 621, 267, 723, 1767, 267, 968, 24464, 543, 1786, 628, 1066, 267, 594, 993, 513, 1912, 541, 1047, 324, 267, 519, 5067, 540, 513, 1912, 541, 1047, 324, 282, 892, 20450, 1535, 3495, 4512, 267, 476, 277, 282, 5845, 269, 25831, 269, 476, 276, 269, 1280, 1631, 646, 11542, 2390, 1010, 1625, 326, 566, 543, 24134, 267, 2523, 621, 5526, 865, 676, 519, 1747, 1101, 3957, 269, 1656, 2484, 581, 621, 689, 1022, 547, 1589, 267, 602, 6754, 1131, 1118, 946, 540, 513, 7990, 540, 29063, 1145, 267, 547, 4688, 7551, 5128, 689, 519, 535, 1722, 540, 519, 1004, 563, 288, 5398, 534, 729, 538, 1346, 2395, 18886, 835, 540, 519, 642, 559, 652, 540, 2367, 267, 607, 568, 8915, 282, 1317, 950, 789, 616, 538, 519, 2262, 267, 676, 1259, 540, 7130, 267, 1500, 2446, 540, 267, 789, 616, 19486, 609, 519, 1034, 642, 850, 543, 3490, 282, 4061, 789, 616, 8678, 609, 5609, 2996, 1765, 2108, 3891, 3548, 996, 609, 1857, 753, 543, 5609, 2996, 2223, 543, 968, 5976, 3771, 331, 1824, 1848, 968, 14276, 753, 543, 3771, 331, 1824, 4283, 883, 519, 10806, 540, 13140, 1848, 14717, 320, 267, 950, 938, 7083, 2441, 1131, 723, 519, 15141, 1190, 7548, 588, 25634, 1242, 547, 3483, 267, 646, 1094, 603, 267, 968, 4131, 1864, 581, 547, 26899, 607, 606, 3002, 1156, 812, 543, 513, 1857, 534, 3034, 2171, 4061, 666, 1118, 1100, 10385, 540, 2367, 2390, 519, 21286, 5920, 540, 873, 269, 5808, 1131, 723, 2219, 267, 855, 602, 519, 1912, 541 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 513, 1533, 540, 20022, 543, 10962, 519, 9901, 9274, 883, 513, 31529, 3857, 30826, 7997, 267, 12123, 29656, 5258, 25183, 5536, 540, 519, 4837, 14127, 5820, 609, 606, 10353, 6850, 18878, 1761, 543, 10962, 873, 883, 519, 3857, 30826, 7997, 563, 763, 5277, 3327, 919, 786, 646, 2356, 2451, 693, 2666, 1761, 607, 789, 3390, 689, 519, 11046, 6500, 269, 11048, 267, 952, 519, 11046, 9088, 616, 971, 602, 789, 11863, 519, 12123, 540, 519, 12772, 267, 621, 568, 30074, 547, 798, 865, 1317, 621, 23352, 519, 1071, 2297, 12412, 540, 519, 20256, 267, 1317, 540, 741, 6850, 18878, 1065, 13955, 267, 865, 1279, 607, 602, 5279, 814, 711, 1044, 9243, 1242, 676, 25884, 513, 5070, 10286, 540, 6587, 5279, 563, 763, 7848, 540, 25183, 3327, 919, 8108, 513, 10647, 5277, 1590, 581, 10936, 539, 998, 606, 9357, 1944, 2361, 6383, 676, 513, 5911, 4547, 547, 513, 2318, 1761, 543, 513, 16135, 19650, 563, 2005, 5205, 689, 713, 602, 782, 610, 851, 540, 519, 8022, 540, 519, 19460, 949, 581, 21407, 676, 1797, 824, 982, 3154, 3002, 267, 16113, 676, 3167, 1797, 267, 2141, 3177, 602, 519, 18839, 585, 835, 8022, 1797, 1058, 2226, 519, 2175, 540, 5106, 799, 723, 1044, 1305, 8521, 23954, 629, 913, 563, 7078, 476, 273, 4340, 547, 519, 1505, 540, 519, 1459, 8798, 513, 16801, 7768, 540, 912, 1911, 2694, 676, 2597, 540, 5070, 476, 10019, 269, 8660, 2694, 676, 2597, 540, 519, 1739, 5820, 912, 8512, 338, 26541, 558, 924, 476, 3607, 269, 1015, 7799, 9693, 476, 274, 269, 2764, 595, 787, 565, 924, 476, 280, 269, 7906, 1546, 5139, 3603, 18664, 1314, 476, 1724, 269, 4097, 590, 18649, 19941, 476, 2420, 269, 277, 454, 515, 730, 6606, 547, 519, 1482, 5210, 585, 5070, 543, 23466, 607, 538, 7151, 476, 272, 723, 2016, 476, 15150, 2694, 540, 513, 4837, 5627, 912, 8110, 1417, 13961, 302, 476, 4792, 269, 876, 589, 272, 476, 271, 476, 272, 269, 2004, 6970, 302, 476, 279, 269, 2004, 27002, 302, 476, 276, 269, 876, 10878, 744, 476, 1691, 269, 876, 645, 476, 271, 476, 277, 269, 876, 1341, 293, 476, 274, 269, 3374, 454, 1607, 8798, 3322, 513, 1505, 540, 1818, 4837, 799, 13408, 15098, 23986, 730, 5070, 9274, 609, 693, 2547, 835, 4759, 540, 519, 1362, 540, 12659, 8932, 543, 22279, 3618, 3327, 919, 538, 513, 3905, 31529, 5420, 269, 898, 849, 2882, 513, 4837, 1818, 17102, 1519, 513, 7299, 13621, 12068, 267, 1797, 547, 6749, 5070, 998, 519, 12068, 267, 8022, 1797, 547, 3002, 519, 9991, 5070, 547, 4837, 268, 14127, 2837, 267, 543, 1797, 547, 10359, 519, 9991, 3905, 5070, 5536, 609, 25183, 267, 4837, 14127, 6151, 2326, 269, 589, 8984, 540, 519, 8798, 568, 602, 1142, 10286, 540, 5070, 568, 6659, 547, 606, 11506, 2837, 799, 568, 2630, 602, 693, 799, 519, 5070, 5536, 1131, 535, 761, 1927, 610, 1106, 12627, 2010, 540, 1447, 19535, 2470, 267, 971, 585, 1383, 607, 1164, 1835, 626, 2128, 924, 269, 769, 519, 2013, 1141, 519, 5070, 568, 12699, 267, 538, 513, 2527, 610, 538, 5714, 1242, 5127, 267, 621, 647, 325, 997, 525, 547, 2061, 23139, 4903, 331, 558, 3130, 547, 2057, 859, 3865, 532, 519, 2837, 540, 476, 13970, 271, 595, 269, 1403, 713, 8594, 1281, 711, 2291, 267, 585, 1383, 950, 519, 8022, 540, 1142, 10286, 568, 14350, 12913, 676, 4367, 883, 513, 3905, 3154, 267, 519, 2837, 786, 18562, 581, 3908, 547, 1447, 982, 476, 8182, 271, 595, 1421, 585, 1383, 476, 14028, 271, 595, 1421, 1317, 1310, 5114, 540, 891, 9274, 593, 519, 824, 23466, 609, 519, 2504, 540, 513, 6749, 540, 4837, 267, 519, 8545, 1131, 581, 1336, 23986, 730, 543, 538, 513, 2783, 5827, 540, 9561, 851, 540, 922, 23466, 563, 5194, 8984, 540, 519, 8798, 5161, 538, 14350, 15098, 1142, 23986, 730, 10286, 540, 5070, 676, 16830, 824, 25183, 23466, 538, 1880, 676, 9770, 543, 7513, 20919, 269, 1325, 330, 8932, 27911, 543, 22279, 3618, 27911, 786, 11593, 4283, 883, 519, 21958, 2497, 543, 24705, 2390, 621, 519, 3857, 516, 748, 1533, 267, 952, 789, 616, 5189, 607, 3327, 919, 799, 31693, 538, 3346, 609, 519, 21958, 269, 589, 16349, 17883, 540, 3327, 919, 3544, 519, 21958, 2306, 519, 4837, 268, 14127, 5114, 609, 519, 21958, 811, 8920, 325, 2159, 543, 519, 2837, 2157, 31889, 23954, 1058, 581, 15197, 269, 898, 568, 849, 3983, 547, 3002, 689, 519, 16538, 513, 11491, 2544, 27648, 540, 513, 21958, 10286, 20583, 676, 824, 23466, 799, 616, 1287, 7683, 28555, 982, 519, 21958, 269, 769, 519, 1184, 2687, 547, 519, 8798, 519, 21958, 4295, 568, 28555, 982, 519, 16538, 5820, 543, 646, 1846, 873, 676, 3346, 563, 763, 16538, 5820, 616, 5413, 3585, 840, 13463, 730, 1354, 4367, 547, 519, 5114, 267, 543, 538, 519, 9053, 1106, 540, 519, 8798, 267, 789, 616, 25183, 1354, 32296, 519, 9274, 540, 5070, 563, 763, 10286, 676, 10286, 5114, 799, 13054, 1776, 8984, 540, 519, 8798, 2306, 568, 19624, 547, 6338, 5820, 824, 982, 21958, 630, 663, 1978, 5634, 23466, 799, 949, 581, 5189, 693, 519, 1482, 942, 607, 519, 21958, 264, 607, 513, 5134, 540, 5277, 12772, 538, 519, 6935, 5551, 563, 296, 723, 3964, 602, 896, 891, 2175, 519, 2627, 540, 519, 6749, 540, 19941, 799, 814, 22862, 513, 10286, 540, 5070, 543, 799, 568, 5266, 5714, 267, 1256, 1498, 621, 568, 5266, 4411, 267, 3362, 13847, 519, 9362, 267, 16113, 2910, 799, 616, 6508, 689, 6547, 23312, 693, 6418, 6106, 267, 543, 602, 713, 5305, 568, 865, 2500, 602, 972, 568, 15186, 1100, 2333, 540, 2604, 538, 519, 5114, 7997, 267, 799, 1131, 15936, 609, 519, 5114, 269, 898, 568, 6190, 952, 519, 1710, 8864, 540, 519, 5070, 543, 519, 12772, 568, 971, 602, 789, 3132, 513, 3500, 16350, 998, 519, 5114, 7997, 267, 519, 3432, 540, 2887, 2810, 950, 519, 10286, 568, 6368, 22862, 676, 519, 6749, 563, 2304, 5413, 540, 519, 8798, 568, 519, 5478, 540, 4837, 538, 12772, 269, 6271, 5413, 568, 519, 5478, 540, 4837, 693, 2539, 5210, 982, 616, 3177, 676, 3044, 3157, 267, 1519, 519, 17594, 540, 7677, 2167, 540, 8723, 4070, 267, 543, 519, 7829, 540, 5318, 13999, 540, 2326, 799, 616, 711, 4628, 24267, 563, 5194, 5413, 568, 519, 2804, 946, 540, 3002, 543, 519, 5687, 17871, 19870, 540, 519, 19460, 543, 519, 1184, 563, 2005, 786, 581, 15874, 602, 713, 8798, 3322, 513, 1505, 540, 32232, 3623, 823, 748, 9274, 609, 19535, 267, 4496, 267, 5135, 730, 7135, 799, 13408, 4509, 519, 3623, 823, 748, 9274, 538, 513, 1533, 540, 29610, 20022, 543, 3500, 2887, 538, 513, 1699, 540, 3905, 3154, 693, 19535, 2837, 267, 15098, 519, 9274, 609, 19535, 267, 25183, 267, 5135, 730, 4496, 7135, 267, 543, 7551, 2810, 519, 5860, 540, 519, 22862, 9274, 18481, 547, 2014, 873, 547, 2887, 811, 6385, 998, 519, 1699, 540, 3905, 3154, 543, 547, 581, 2060, 323, 22148, 689, 519, 796, 1723, 730, 9274, 563, 2026, 1082, 15151, 4922, 1114, 12589, 9323, 540, 519, 1459, 8798, 949, 581, 1500, 1510, 8977, 532, 689, 519, 6891, 543, 9165, 23476, 267, 621, 568, 547, 581, 6956, 602, 519, 8798, 568, 711, 3908, 547, 519, 1808, 12589, 9323, 563, 1432, 568, 10645, 568, 912, 272, 269, 589, 1505, 540, 1818, 4837, 799, 13408, 15098, 12699, 5070, 9274, 17735, 538, 513, 3905, 31529, 5420, 609, 693, 2547, 835, 12699, 543, 25183, 4759, 540, 519, 1362, 540, 12659, 8932, 543, 22279, 3618, 3327, 919, 267, 519, 5070, 9274, 1373, 12699, 547, 513, 2837, 693, 799, 519, 4837, 8108, 5114, 786, 2049, 267, 1142, 5070, 10286, 32232, 609, 922, 15098, 540, 25183, 12659, 8932, 543, 22279, 3618, 3327, 919, 547, 1106, 513, 17366, 339, 540, 4837, 267, 543, 10655, 519, 20256, 607, 513, 2527, 540, 25183, 4837, 563, 273, 269, 589, 1505, 540, 1818, 4837, 799, 13408, 840, 515, 908, 5070, 9274, 547, 4837, 268, 14127, 2837, 267, 21177, 519, 5070, 9274, 883, 513, 3905, 31529, 5420, 267, 543, 30574, 16830, 20256, 540, 25183, 3327, 919, 540, 12659, 8932, 543, 22279, 3618, 8407, 2390, 519, 5070, 9274, 538, 519, 31529, 5420, 547, 10359, 519, 9274, 543, 7551, 1198, 513, 4837, 268, 14127, 5114, 1063, 519, 9274, 543, 741, 15098, 267, 547, 1106, 20256, 540, 25183, 4837, 563, 274, 269, 589, 1505, 540, 1818, 4837, 799, 13408, 8022, 5070, 9274, 547, 513, 2837, 1657, 519, 13621, 1448, 540, 519, 23466, 540, 519, 16801, 5627, 12659, 8932, 543, 22279, 3618, 8407, 267, 855, 711, 15186, 936, 827, 476, 14028, 271, 595, 1421, 13621, 513, 19941, 689, 519, 1362, 540, 12659, 8932, 543, 22279, 3618, 8407, 693, 711, 15186, 811, 982, 476, 25616, 595, 269, 8108, 12772, 540, 519, 25183, 19941, 267, 543, 8744, 519, 3905, 5070, 9274, 543, 25183, 12772, 540, 519, 19941, 883, 3346, 1247, 9991, 998, 513, 3905, 31529, 5420, 7551, 15098, 519, 5070, 9274, 543, 8108, 4837, 563, 275, 269, 589, 1505, 540, 1818, 4837, 799, 13408, 21177, 5070, 9274, 19011, 1645, 1063, 827, 476, 2004, 543, 476, 4968, 8020, 6425, 538, 2450, 693, 513, 2837, 711, 15186, 1447, 982, 476, 12010, 595, 563, 20041, 513, 8375, 1699, 540, 3905, 9362, 13576, 693, 827, 476, 274, 544, 32220, 3813, 269, 2348, 513, 2362, 2837, 799, 4485, 513, 5021, 540, 827, 476, 9873, 271, 595, 1421, 30574, 24268, 16801, 5820, 540, 2539, 2837, 540, 5114, 693, 2539, 2837, 883, 519, 9991, 5070, 9274, 538, 20256, 19011, 1645, 827, 1547, 10436, 547, 476, 272, 269, 271, 2053, 519, 8006, 540, 519, 5070, 9274, 267, 547, 2014, 1142, 10286, 540, 5070, 547, 2746, 609, 519, 24268, 16801, 5820, 543, 1106, 513, 17366, 339, 540, 4837, 563, 276, 269, 589, 1505, 540, 32232, 3623, 823, 748, 9274, 540, 4837, 14708, 3446, 799, 723, 1044, 12699, 547, 4837, 6194, 2837, 609, 19535, 4837, 6194, 5820, 540, 2539, 13621, 1448, 799, 13408, 4509, 519, 3623, 823, 748, 9274, 538, 513, 1533, 540, 29610, 1606, 22273, 3290, 543, 3500, 2887, 538, 513, 8375, 1699, 540, 3905, 3154, 693, 19535, 2837, 267, 543, 15098, 519, 17735, 9274, 609, 19535, 267, 25183, 4837, 6194, 5820, 540, 2539, 13621, 1448, 267, 7551, 8108, 3857, 516, 748, 9274, 540, 5860, 647, 25206, 17087, 547, 2014, 873, 547, 2887, 811, 6385, 998, 519, 1699, 540, 3905, 3154, 563, 277, 269, 2334, 1505, 540, 1818, 4837, 267, 16030, 267, 8022, 6404, 16801, 5820, 2348, 513, 13621, 2837, 2539, 982, 13339, 267, 547, 519, 13621, 1448, 540, 1767, 16801, 5820, 267, 30574, 1767, 24268, 16801, 5820, 883, 513, 8375, 1699, 540, 12699, 31529, 5420, 267, 8195, 8022, 5070, 9274, 547, 519, 4837, 268, 14127, 5114, 2837, 23476, 267, 26084, 519, 12699, 9274, 883, 1767, 1699, 540, 31529, 5420, 547, 2014, 519, 1482, 547, 13956, 538, 543, 998, 1767, 5420, 543, 10359, 1142, 1767, 10286, 609, 513, 15098, 540, 1767, 24268, 16801, 5820, 267, 1142, 1767, 10286, 32232, 609, 922, 15098, 547, 1106, 513, 17366, 339, 540, 4837, 27312, 998, 1767, 8375, 1699, 476, 278, 269, 2334, 1505, 540, 1818, 4837, 267, 16030, 267, 2870, 513, 16876, 8375, 1699, 540, 3905, 31529, 5420, 538, 543, 998, 513, 5114, 7997, 267, 8022, 519, 16801, 5820, 824, 982, 21958, 267, 547, 519, 13621, 1448, 23476, 267, 30574, 519, 24268, 16801, 5820, 883, 1767, 7997, 547, 771, 704, 572, 519, 1482, 2429, 1767, 31529, 5420, 267, 8195, 840, 515, 908, 5070, 9274, 547, 519, 2837, 693, 799, 789, 786, 2746, 609, 1767, 16801, 5820, 547, 1106, 4837, 267, 26084, 519, 9274, 25144, 883, 1767, 31529, 5420, 1657, 1767, 7997, 267, 547, 2014, 519, 9274, 547, 13956, 7444, 998, 1767, 7997, 2394, 1142, 814, 513, 15098, 540, 24268, 16801, 5820, 267, 23465, 972, 5976, 547, 1106, 513, 17366, 339, 540, 25183, 4837, 267, 543, 7575, 18746, 569, 856, 540, 1767, 7997, 563, 279, 269, 634, 1505, 540, 3409, 476, 278, 267, 543, 14577, 519, 8375, 1699, 540, 12699, 31529, 5420, 865, 602, 1142, 796, 1723, 730, 10286, 1784, 1742, 7444, 998, 1767, 7997, 543, 5787, 919, 18746, 569, 856, 540, 1767, 7997, 950, 621, 3587, 513, 17366, 339, 540, 4837, 563, 280, 269, 589, 1505, 540, 1818, 4837, 799, 13408, 8022, 3623, 823, 748, 9274, 547, 513, 2837, 538, 519, 4837, 268, 14127, 2039, 267, 30788, 12123, 1767, 9274, 543, 21177, 519, 9901, 9274, 883, 513, 31529, 3857, 30826, 7997, 267, 12123, 29656, 5258, 25183, 5536, 540, 4837, 268, 14127, 5820, 824, 982, 1767, 3623, 823, 748, 9274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 539, 1210, 519, 4357, 1883, 540, 519, 8227, 267, 799, 2306, 621, 538, 17739, 1043, 547, 782, 519, 9136, 538, 519, 3060, 607, 1134, 607, 519, 3028, 8502, 269, 1548, 779, 811, 267, 9039, 540, 519, 8227, 779, 4357, 1344, 568, 2139, 538, 1022, 6740, 1239, 267, 7429, 609, 21438, 4859, 1949, 563, 5804, 513, 6626, 5133, 267, 21438, 6531, 4859, 4667, 3608, 2614, 269, 2991, 782, 267, 596, 666, 7561, 1205, 6119, 689, 707, 5616, 20000, 610, 29100, 7901, 676, 3274, 19883, 538, 269, 1717, 267, 606, 538, 3829, 1413, 12607, 4680, 519, 6456, 24835, 1464, 540, 891, 21438, 4859, 3681, 269, 1280, 3236, 267, 21438, 4859, 1949, 4558, 707, 1239, 593, 513, 2582, 610, 1152, 513, 1906, 1239, 7740, 2429, 519, 1158, 269, 1403, 891, 1949, 1205, 5734, 543, 979, 22356, 585, 1022, 3483, 267, 13098, 1324, 1239, 3587, 7543, 563, 288, 7856, 24677, 6361, 28129, 630, 291, 2710, 306, 264, 4323, 568, 6190, 547, 16154, 1256, 519, 16999, 540, 5121, 17527, 3755, 689, 1210, 21438, 13763, 269, 4107, 11932, 267, 519, 5354, 540, 21438, 4859, 1949, 723, 1239, 7740, 7265, 1229, 538, 1808, 2127, 269, 4475, 267, 621, 2306, 621, 2352, 585, 3755, 538, 3573, 2694, 540, 519, 1158, 547, 9156, 741, 1239, 269, 1306, 513, 1267, 267, 3755, 723, 547, 771, 321, 9309, 811, 19961, 1175, 547, 4647, 1239, 6740, 593, 513, 6531, 4859, 3760, 269, 2353, 713, 2306, 21438, 4859, 1949, 28537, 563, 5719, 25218, 1242, 4859, 1949, 666, 10994, 782, 891, 2042, 538, 606, 3608, 1259, 269, 1280, 3236, 267, 609, 18228, 4859, 1949, 267, 596, 1810, 1406, 723, 547, 5855, 827, 17034, 707, 1239, 952, 513, 6843, 4422, 22356, 269, 898, 779, 1317, 782, 9136, 723, 513, 5299, 540, 707, 1239, 267, 543, 952, 835, 6843, 568, 22356, 267, 596, 666, 2141, 23074, 707, 1239, 689, 824, 9136, 269, 4107, 11932, 267, 519, 9136, 538, 23204, 2861, 4859, 1949, 616, 7856, 2429, 519, 1158, 269, 1924, 267, 972, 781, 2141, 513, 4960, 602, 596, 666, 1265, 513, 6843, 6251, 547, 707, 4087, 547, 948, 596, 4647, 707, 1239, 9001, 1447, 19961, 269, 2353, 891, 1919, 1118, 18228, 4859, 1949, 1454, 811, 3608, 538, 6476, 547, 741, 21438, 13413, 563, 275, 268, 4578, 6715, 31772, 454, 1103, 2241, 1913, 267, 1239, 8699, 20186, 519, 2702, 540, 519, 1239, 547, 2226, 922, 4441, 2429, 513, 2898, 29488, 269, 901, 1797, 602, 1239, 1058, 581, 2139, 538, 922, 4890, 1106, 8164, 596, 1616, 547, 1569, 621, 267, 1256, 1310, 8938, 610, 13977, 1296, 269, 8232, 2042, 971, 607, 1239, 8699, 616, 4742, 513, 2101, 21677, 538, 513, 21438, 1062, 269, 11531, 267, 18228, 4859, 18271, 23204, 2029, 547, 8207, 713, 1966, 676, 1210, 513, 6422, 1239, 8699, 19027, 10325, 585, 6531, 4859, 609, 519, 570, 5336, 17064, 548, 19474, 3529, 563, 7197, 11932, 267, 2757, 21438, 4859, 1949, 19665, 519, 1239, 1759, 593, 519, 4087, 1141, 621, 779, 10710, 269, 1280, 3236, 267, 950, 596, 14202, 513, 3758, 547, 29100, 26213, 267, 596, 1205, 513, 15745, 602, 596, 666, 946, 547, 1569, 519, 3758, 20471, 596, 1616, 269, 1717, 267, 952, 602, 3758, 568, 6410, 547, 513, 1114, 4087, 267, 922, 15745, 786, 1689, 267, 543, 596, 786, 1205, 513, 476, 29024, 5470, 5048, 950, 596, 2119, 547, 1569, 519, 3758, 1210, 519, 2025, 15745, 563, 288, 18228, 4859, 1062, 1362, 5809, 602, 1239, 1210, 513, 1543, 10391, 1935, 269, 769, 2241, 1913, 267, 621, 1362, 5809, 707, 1239, 1759, 593, 922, 1543, 2864, 982, 922, 4087, 269, 901, 1259, 267, 596, 666, 1205, 1569, 547, 707, 1239, 1256, 952, 621, 779, 6410, 547, 1776, 4087, 1210, 519, 1482, 3095, 269, 769, 1931, 547, 798, 713, 267, 18228, 4859, 1949, 8936, 519, 19474, 540, 519, 1239, 3625, 547, 519, 3095, 865, 602, 621, 666, 581, 15600, 7488, 540, 922, 4087, 563, 2304, 1271, 1448, 547, 4063, 1934, 568, 602, 519, 19474, 568, 513, 2189, 32165, 585, 1142, 1239, 3625, 538, 519, 23204, 269, 901, 1797, 1142, 3625, 814, 922, 2189, 19474, 269, 898, 781, 1317, 519, 19474, 568, 6383, 689, 519, 1239, 538, 519, 3625, 269, 4595, 1142, 1239, 3625, 3568, 1114, 1239, 267, 519, 19474, 568, 2189, 585, 1142, 1239, 3625, 269, 5047, 267, 952, 513, 3983, 17076, 13290, 547, 13861, 519, 1239, 538, 513, 3625, 267, 922, 19474, 786, 1689, 8850, 267, 1818, 621, 538, 17739, 1043, 547, 519, 17351, 3593, 563, 276, 268, 13722, 26959, 454, 763, 18228, 1239, 4859, 1062, 11104, 3585, 1447, 839, 519, 1942, 540, 4859, 269, 898, 849, 6971, 519, 29476, 585, 3684, 2773, 267, 7551, 16701, 21899, 519, 991, 585, 7199, 5092, 538, 1164, 12656, 14127, 8800, 543, 3301, 269, 4107, 11932, 267, 519, 18228, 3060, 16621, 6634, 540, 9136, 585, 13936, 1239, 269, 901, 31426, 547, 513, 9645, 2333, 538, 519, 2179, 540, 2139, 4859, 2230, 269, 1546, 25218, 1242, 4859, 1949, 4749, 8415, 782, 519, 29680, 4859, 2230, 593, 519, 9136, 267, 5969, 1524, 729, 5653, 543, 9319, 519, 991, 585, 3063, 8804, 269, 2353, 713, 2337, 538, 5329, 519, 2949, 1942, 540, 4859, 16113, 2539, 538, 18228, 1949, 563, 4415, 4213, 6721, 811, 1239, 982, 2479, 267, 519, 991, 585, 10097, 267, 27249, 267, 543, 267, 1034, 11932, 267, 5150, 4859, 2029, 568, 3395, 269, 2060, 519, 10073, 540, 23204, 2029, 267, 18228, 1239, 4859, 1223, 581, 513, 5078, 4781, 547, 3666, 25382, 267, 3106, 267, 543, 26622, 269, 4014, 18228, 4859, 1949, 616, 1869, 538, 741, 2038, 5123, 267, 789, 5693, 2709, 513, 1732, 3070, 538, 6476, 547, 741, 3044, 267, 21438, 13413, 269, 2060, 942, 267, 18228, 4859, 1949, 786, 1152, 1205, 1732, 267, 543, 789, 786, 9090, 10544, 519, 3007, 540, 782, 2101, 16904, 269, 1403, 596, 616, 5461, 538, 2679, 513, 4357, 18228, 4859, 1062, 585, 707, 3919, 610, 1616, 547, 1020, 513, 2407, 8397, 18228, 4859, 3760, 585, 519, 1857, 267, 649, 666, 948, 596, 538, 713, 2543, 563, 2080, 693, 4083, 1103, 580, 775, 267, 649, 1796, 10583, 607, 519, 1655, 23204, 4886, 8116, 538, 519, 7330, 267, 5356, 513, 2647, 2039, 540, 2533, 267, 1519, 23204, 5077, 3599, 607, 1134, 607, 15170, 267, 5100, 4579, 267, 546, 7343, 267, 1546, 25218, 1242, 10369, 2897, 267, 1546, 25218, 1242, 19554, 267, 543, 26426, 2091, 1646, 269, 1284, 723, 1044, 883, 23204, 1646, 585, 476, 1015, 1296, 267, 543, 649, 723, 6707, 18611, 18228, 4859, 5121, 585, 4213, 1210, 4357, 23204, 269, 1411, 666, 2638, 856, 938, 14769, 543, 16499, 517, 10118, 547, 1205, 513, 1732, 2856, 540, 938, 6791, 607, 1134, 607, 519, 2298, 540, 938, 960, 269, 15439, 3346, 721, 2221, 267, 543, 8430, 513, 1289, 609, 835, 540, 938, 4966, 547, 1294, 875, 649, 666, 948, 596, 11886, 707, 3853, 269, 0, 24685, 2112, 972, 616, 1100, 7938, 15903, 7980, 892, 630, 297, 846, 23902, 657, 5652, 1040, 13405, 547, 2622, 2782, 594, 267, 24816, 941, 4646, 267, 799, 941, 2516, 270, 2477, 4646, 547, 1832, 4708, 1851, 519, 4279, 25024, 538, 2342, 269, 634, 1101, 19710, 267, 519, 10222, 921, 19137, 729, 513, 4108, 19710, 1063, 5125, 267, 15212, 6953, 2426, 776, 267, 543, 7977, 269, 634, 2034, 19710, 267, 519, 10222, 921, 9980, 25366, 729, 1776, 4108, 19710, 1063, 4279, 6628, 267, 5333, 267, 543, 6576, 269, 11109, 15180, 24816, 538, 2342, 267, 30925, 1063, 1312, 24816, 1185, 3323, 547, 2049, 563, 7628, 2622, 2782, 476, 272, 267, 972, 941, 2789, 24816, 269, 2353, 10662, 4951, 707, 3972, 609, 824, 2477, 269, 1703, 729, 634, 10222, 921, 19137, 602, 3769, 5125, 267, 15212, 6953, 2426, 776, 267, 543, 7977, 269, 1703, 729, 634, 10222, 921, 9980, 25366, 602, 3769, 5333, 267, 6576, 267, 543, 4279, 6628, 269, 1452, 941, 519, 1079, 1034, 3532, 543, 2178, 24816, 538, 519, 4279, 2782, 563, 9349, 5623, 476, 273, 281, 22307, 4536, 267, 2276, 5443, 267, 543, 12019, 2782, 9197, 2478, 676, 9400, 5975, 1206, 12834, 281, 5975, 1206, 6238, 1055, 1010, 1433, 676, 9301, 519, 13509, 1472, 519, 14223, 540, 519, 946, 540, 3196, 538, 513, 6433, 676, 4108, 3401, 1256, 1498, 972, 568, 513, 11342, 13429, 602, 4108, 4648, 616, 811, 10728, 982, 17009, 1846, 543, 14761, 269, 1261, 2829, 646, 11339, 519, 1433, 538, 1931, 547, 1683, 513, 3102, 5619, 540, 519, 2022, 8705, 1909, 540, 1977, 4108, 2367, 538, 3664, 593, 741, 1034, 1898, 1599, 267, 741, 946, 540, 3196, 538, 8396, 269, 5975, 1206, 26342, 519, 5318, 8244, 540, 3332, 593, 4108, 7589, 538, 3664, 593, 8878, 23348, 543, 9604, 27147, 267, 855, 7959, 972, 568, 513, 20704, 950, 3168, 693, 3375, 6194, 689, 519, 5133, 540, 4108, 5718, 8957, 19742, 5718, 563, 25889, 281, 1879, 519, 2112, 1063, 6628, 543, 5333, 13264, 856, 267, 519, 5518, 6115, 9783, 519, 834, 5719, 743, 9653, 540, 29591, 2580, 543, 538, 5181, 476, 9692, 277, 646, 3370, 519, 674, 732, 6202, 2232, 10294, 519, 3609, 540, 2136, 2276, 1875, 17942, 3685, 1143, 269, 769, 519, 476, 866, 628, 2540, 267, 5518, 7338, 16962, 6905, 6115, 781, 2093, 827, 4914, 3609, 538, 1010, 4728, 476, 275, 267, 476, 5197, 272, 22305, 1116, 2232, 269, 16962, 1767, 602, 835, 540, 519, 834, 24207, 3741, 540, 938, 2229, 257, 568, 602, 540, 834, 701, 864, 267, 16450, 267, 543, 9237, 11505, 609, 782, 6082, 267, 1303, 836, 1782, 24816, 609, 9039, 1701, 4886, 281, 1977, 1772, 15684, 1143, 9243, 4914, 3609, 814, 4810, 1614, 5933, 281, 634, 1101, 3942, 267, 689, 476, 9692, 277, 267, 6115, 519, 24214, 6202, 2232, 547, 476, 9264, 274, 519, 3933, 19172, 1684, 551, 9068, 3370, 267, 10072, 1143, 9243, 23372, 568, 547, 1205, 7759, 540, 519, 19710, 267, 547, 9718, 519, 7115, 454, 1103, 5718, 267, 972, 616, 1614, 1292, 3621, 26336, 602, 2482, 538, 513, 6205, 282, 16023, 267, 7180, 543, 20314, 1890, 799, 814, 6905, 883, 3875, 6163, 269, 634, 3621, 17565, 2882, 1313, 7095, 267, 11180, 267, 2535, 894, 267, 1463, 633, 267, 4305, 15129, 267, 6935, 15129, 267, 2981, 1049, 543, 6223, 1308, 267, 1347, 29487, 267, 3288, 23579, 345, 1922, 18311, 543, 22700, 5718, 630, 295, 28045, 267, 1306, 611, 1299, 670, 9655, 2088, 267, 476, 1001, 277, 267, 30127, 269, 476, 14341, 1040, 14755, 267, 5718, 16023, 799, 14439, 7209, 7592, 267, 971, 607, 703, 7337, 542, 267, 1419, 3142, 883, 519, 9316, 540, 519, 6205, 11944, 543, 2500, 630, 5141, 871, 476, 1001, 278, 267, 30127, 269, 476, 273, 1040, 15380, 267, 5718, 16023, 3069, 568, 711, 1031, 4805, 1317, 519, 1434, 5718, 1281, 711, 3362, 8451, 689, 27836, 4719, 7592, 1510, 2921, 883, 7156, 543, 8404, 2676, 2467, 941, 1082, 8037, 2367, 602, 941, 838, 691, 753, 1282, 2622, 2782, 4083, 1519, 281, 670, 10098, 327, 17010, 543, 31674, 7288, 1677, 14765, 267, 9478, 23237, 543, 16452, 543, 32457, 267, 670, 10098, 327, 17010, 543, 5484, 17010, 631, 1380, 565, 7236, 269, 13690, 543, 13343, 267, 1230, 22448, 543, 5975, 339, 773, 267, 25288, 543, 27050, 22448, 941, 6743, 693, 607, 15046, 13219, 1282, 519, 1793, 3784, 5428, 607, 789, 16111, 29169, 519, 1895, 4901, 269, 631, 2684, 773, 543, 670, 7699, 933, 328, 267, 22255, 26785, 543, 715, 23734, 334, 6035, 547, 9192, 741, 3549, 609, 11197, 267, 855, 519, 16628, 540, 11197, 838, 29354, 519, 2709, 563, 6962, 634, 4317, 28620, 540, 13639, 4860, 30055, 634, 11944, 540, 519, 5545, 623, 833, 5443, 543, 519, 3864, 1488, 4302, 24650, 1512, 4547, 8521, 9097, 2242, 538, 4108, 12485, 267, 2943, 607, 3254, 267, 741, 8521, 5765, 8507, 538, 811, 982, 1175, 4720, 593, 519, 25071, 269, 4595, 519, 24339, 26494, 540, 5208, 543, 15139, 1436, 540, 1379, 5397, 782, 4108, 26201, 267, 621, 568, 711, 11389, 32208, 547, 7682, 602, 972, 1223, 581, 3466, 799, 4766, 519, 1514, 1764, 540, 4108, 26201, 269, 2060, 713, 538, 2247, 267, 5103, 1373, 1079, 5094, 12977, 267, 972, 616, 2312, 4296, 1063, 19744, 3567, 779, 2078, 609, 519, 15662, 490, 333, 514, 2782, 543, 19744, 2342, 779, 1995, 609, 519, 7969, 12668, 269, 1703, 616, 3670, 540, 873, 269, 1452, 12977, 941, 1099, 10999, 1114, 267, 2943, 519, 30050, 1198, 713, 814, 593, 1818, 891, 3466, 782, 8775, 547, 811, 982, 22406, 14626, 2064, 563, 6624, 1360, 1271, 2621, 4755, 1169, 1554, 1142, 1032, 782, 936, 519, 1158, 269, 2368, 616, 711, 607, 4277, 607, 1866, 855, 616, 1869, 1175, 607, 1271, 269, 1358, 2039 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11343, 5545, 31787, 21936, 539, 519, 772, 2529, 269, 547, 4196, 538, 8396, 607, 513, 1259, 540, 11744, 741, 14017, 269, 634, 4620, 1431, 941, 7608, 267, 543, 4166, 5545, 31787, 941, 8165, 607, 1312, 13538, 543, 31751, 1425, 545, 18779, 269, 0, 5415, 547, 2263, 912, 11390, 903, 547, 4569, 4191, 910, 585, 2979, 31940, 269, 4024, 581, 1434, 547, 1820, 856, 585, 10906, 950, 1352, 2115, 713, 563, 11390, 903, 547, 4569, 4191, 269, 30854, 3330, 2979, 4760, 269, 901, 2337, 865, 1454, 609, 2262, 2042, 2336, 13043, 18500, 268, 32368, 547, 4569, 4191, 454, 11390, 903, 547, 3450, 2979, 4191, 454, 1607, 568, 513, 1079, 2985, 3758, 734, 821, 2985, 538, 2681, 543, 519, 824, 538, 3109, 543, 3043, 269, 634, 1883, 1913, 666, 581, 2016, 547, 519, 1053, 547, 1832, 538, 741, 2979, 1165, 1372, 2483, 13043, 9046, 14572, 6206, 9293, 5403, 619, 454, 7659, 9293, 13242, 769, 4569, 6478, 10819, 18121, 994, 16039, 269, 8055, 781, 20308, 8074, 1504, 910, 3257, 713, 2523, 585, 519, 28809, 8276, 738, 328, 1255, 2035, 269, 594, 2141, 1205, 602, 6404, 909, 269, 11146, 602, 1352, 3096, 23877, 609, 519, 5022, 547, 948, 538, 19551, 563, 293, 3555, 6478, 10819, 1948, 4118, 1948, 325, 10330, 454, 15124, 2979, 21641, 910, 594, 993, 9090, 3257, 31940, 1985, 1032, 454, 12218, 3336, 5004, 281, 10689, 3118, 3652, 256, 513, 1390, 12576, 585, 519, 4397, 2623, 538, 519, 10689, 3118, 256, 476, 5952, 280, 273, 454, 1432, 513, 20036, 3014, 256, 2052, 1405, 1265, 519, 3312, 3095, 268, 604, 4896, 1281, 267, 1577, 803, 917, 269, 25783, 293, 17614, 585, 19343, 2336, 1607, 568, 513, 835, 2985, 3561, 602, 666, 581, 1031, 607, 851, 540, 513, 2979, 4760, 269, 11334, 666, 3442, 513, 1114, 1297, 1142, 1554, 269, 2052, 581, 14661, 585, 4587, 610, 7820, 3214, 563, 13043, 30998, 4845, 26784, 1862, 15124, 2856, 256, 589, 1434, 1747, 547, 6494, 667, 950, 646, 3081, 875, 798, 594, 2328, 827, 2979, 282, 994, 2304, 4277, 1505, 907, 910, 2290, 17547, 9966, 528, 281, 8342, 5500, 24436, 543, 27678, 2336, 13043, 22544, 834, 13043, 13185, 257, 1433, 12201, 269, 6435, 1053, 1376, 513, 6209, 6643, 827, 2979, 269, 22291, 513, 1906, 4976, 2238, 547, 1205, 1053, 538, 519, 4356, 540, 1210, 713, 2979, 2911, 256, 1269, 274, 0, 300, 15097, 25994, 9796, 25659, 20620, 267, 476, 866, 267, 278, 866, 630, 3192, 277, 994, 16085, 342, 21532, 536, 13935, 922, 5567, 563, 295, 4916, 281, 589, 1164, 16242, 31406, 8752, 563, 24109, 639, 281, 634, 6960, 610, 3109, 5214, 851, 540, 3037, 4611, 689, 519, 454, 14783, 9178, 540, 3762, 543, 824, 2339, 563, 20812, 8455, 281, 634, 15556, 540, 1079, 2371, 540, 1114, 2249, 610, 8677, 540, 454, 22134, 1886, 9582, 281, 634, 2257, 540, 3395, 2371, 538, 7777, 3435, 610, 454, 331, 18612, 267, 3079, 540, 538, 3037, 563, 5715, 3821, 281, 589, 2249, 540, 15267, 2030, 563, 14813, 1254, 281, 634, 5250, 540, 513, 21313, 1369, 610, 593, 513, 3984, 2030, 563, 1103, 2739, 1190, 8376, 281, 589, 2068, 602, 568, 3361, 676, 513, 19800, 799, 666, 454, 4944, 1348, 689, 513, 30428, 547, 513, 2635, 2030, 563, 1103, 4148, 2803, 12412, 281, 634, 8768, 12440, 540, 513, 2030, 563, 1103, 665, 4918, 281, 634, 19800, 610, 922, 2694, 602, 666, 2014, 3968, 563, 12421, 1712, 2433, 634, 3845, 1063, 8371, 2059, 519, 6565, 563, 297, 2002, 281, 589, 15267, 16906, 563, 298, 3971, 281, 589, 2165, 689, 25448, 1031, 547, 2491, 513, 5386, 3446, 540, 2298, 454, 299, 8632, 281, 28582, 2590, 547, 2427, 4433, 264, 540, 519, 2030, 2497, 563, 8867, 2286, 281, 634, 8851, 610, 2530, 540, 4430, 20919, 610, 5567, 689, 3037, 563, 8867, 2378, 2280, 281, 21540, 618, 540, 513, 7623, 6978, 563, 8867, 2378, 344, 281, 11109, 3875, 3762, 563, 299, 525, 542, 281, 1323, 1858, 540, 30428, 5160, 267, 7363, 609, 513, 1689, 538, 2681, 563, 30791, 281, 1763, 10603, 1782, 513, 1899, 282, 1279, 543, 7522, 543, 540, 7833, 8700, 563, 9827, 4016, 547, 7833, 2208, 563, 299, 27961, 281, 589, 3638, 3037, 7768, 540, 10036, 267, 5070, 543, 5214, 2339, 563, 299, 12786, 281, 589, 2101, 7269, 610, 4439, 613, 6438, 3337, 267, 607, 693, 519, 14345, 540, 513, 6978, 454, 299, 18210, 281, 589, 3621, 6482, 585, 24788, 13920, 689, 513, 1769, 2707, 563, 10048, 675, 281, 17667, 2339, 267, 2356, 519, 608, 920, 618, 540, 606, 3662, 971, 513, 454, 1817, 572, 267, 799, 568, 1031, 607, 513, 3638, 13226, 563, 300, 1173, 514, 281, 634, 6316, 267, 3622, 540, 513, 6978, 563, 300, 15097, 281, 6271, 2165, 585, 15267, 563, 27746, 13191, 281, 589, 13798, 1168, 867, 585, 17089, 563, 300, 295, 281, 19045, 16199, 728, 1769, 1062, 563, 31466, 1258, 19153, 281, 25115, 2609, 602, 616, 2877, 676, 930, 2371, 538, 454, 854, 1507, 9424, 563, 300, 843, 1168, 281, 589, 8869, 344, 2208, 593, 519, 2030, 779, 2627, 563, 300, 1278, 281, 589, 5697, 3993, 2030, 6854, 585, 922, 25525, 610, 6010, 762, 454, 30726, 2524, 676, 519, 1332, 518, 269, 898, 568, 1031, 585, 28295, 543, 9960, 563, 300, 582, 1479, 281, 4676, 619, 547, 12150, 3270, 593, 519, 6978, 540, 1769, 543, 4158, 2127, 454, 300, 16615, 281, 589, 1689, 538, 4719, 1570, 4547, 827, 676, 606, 9402, 454, 8882, 26475, 971, 607, 5982, 563, 30943, 281, 589, 2030, 602, 4386, 543, 9428, 6923, 538, 513, 1808, 3148, 610, 454, 301, 1815, 15727, 281, 589, 27394, 15727, 568, 4666, 5160, 593, 2127, 540, 519, 2030, 563, 301, 26517, 728, 281, 589, 3114, 7623, 602, 19754, 29712, 3941, 563, 301, 14670, 1712, 281, 5843, 2675, 8084, 267, 21431, 3697, 2831, 602, 2661, 538, 1216, 610, 3037, 2676, 528, 607, 15495, 540, 2371, 543, 2831, 563, 11966, 281, 19024, 593, 513, 6565, 689, 799, 835, 610, 811, 3889, 454, 263, 18034, 8371, 264, 8451, 563, 23259, 298, 281, 2806, 12934, 2747, 585, 9436, 630, 301, 1070, 19552, 630, 303, 1070, 543, 11379, 454, 263, 298, 1070, 519, 1614, 3119, 5567, 585, 2371, 563, 302, 559, 281, 4676, 619, 547, 15267, 18300, 950, 621, 568, 711, 538, 513, 4396, 1533, 563, 16391, 545, 281, 901, 4016, 547, 513, 1505, 540, 12202, 9001, 1152, 2326, 454, 21710, 689, 2713, 1919, 543, 711, 812, 1500, 6464, 563, 302, 8243, 2670, 281, 634, 1184, 676, 799, 513, 19857, 10596, 998, 513, 10859, 704, 1889, 762, 454, 332, 19830, 2033, 883, 513, 3148, 540, 3152, 1151, 1393, 5834, 267, 865, 454, 5353, 2644, 1284, 539, 717, 534, 10937, 23268, 257, 11417, 10403, 575, 534, 10937, 5452, 2008, 290, 27767, 529, 11557, 27190, 344, 295, 11391, 23092, 7261, 1499, 7749, 23268, 2052, 10109, 529, 306, 9820, 773, 2052, 10109, 529, 2052, 10109, 529, 5246, 643, 31995, 12749, 23268, 24434, 7454, 23268, 7813, 2052, 10109, 529, 26765, 6951, 2052, 10109, 529, 289, 1675, 4088, 631, 15097, 19663, 290, 527, 1537, 1773, 659, 731, 294, 534, 10937, 454, 18933, 1794, 559, 663, 631, 15097, 4530, 717, 534, 10937, 454, 18933, 1794, 559, 663, 631, 15097, 4530, 1284, 539, 454, 18933, 1794, 559, 663, 631, 15097, 4530, 23268, 290, 27767, 529, 454, 326, 18553, 910, 631, 15097, 25994, 9796, 25659, 454, 303, 286, 1717, 267, 513, 1644, 454, 534, 11530, 476, 26237, 814, 1044, 4080, 476, 9873, 547, 581, 1360, 3742, 31127, 267, 855, 1100, 3877, 540, 454, 1080, 10282, 723, 1044, 4330, 454, 267, 476, 3445, 267, 476, 277, 4649, 272, 630, 3422, 279, 5148, 630, 321, 264, 570, 25523, 28353, 0, 6635, 3240, 547, 8956, 7980, 20665, 676, 21647, 454, 763, 3375, 676, 519, 8136, 3927, 10941, 525, 5756, 540, 16563, 827, 1018, 519, 7980, 28815, 538, 519, 3803, 3275, 540, 519, 2112, 538, 476, 3707, 276, 693, 19161, 320, 606, 3541, 4432, 3122, 267, 513, 23658, 2086, 540, 645, 1075, 1156, 342, 12245, 1141, 7980, 941, 29041, 267, 5182, 1386, 267, 7166, 543, 7142, 547, 960, 538, 25310, 547, 12404, 4436, 3937, 563, 5415, 982, 476, 1911, 772, 2529, 269, 7980, 5747, 538, 519, 3786, 610, 593, 513, 7142, 2669, 15292, 269, 6969, 789, 941, 2366, 1394, 547, 519, 2136, 2276, 267, 15000, 9896, 513, 9658, 1097, 3561, 609, 519, 772, 2529, 269, 2229, 547, 2760, 3717, 827, 741, 24811, 563, 1260, 906, 13324, 676, 2598, 638, 338, 454, 268, 8419, 7548, 547, 6633, 20752, 9206, 454, 268, 16393, 1776, 2296, 4622, 581, 12617, 896, 513, 18736, 2603, 888, 268, 670, 3089, 629, 2465, 3081, 22884, 7028, 519, 6426, 454, 268, 6723, 654, 269, 17312, 781, 31835, 16684, 518, 281, 17312, 543, 4258, 2284, 8771, 569, 3465, 5034, 654, 13270, 11106, 547, 5398, 454, 268, 1133, 21129, 1639, 4670, 827, 519, 14195, 1500, 538, 476, 3707, 276, 547, 6368, 581, 2938, 676, 9458, 454, 268, 12253, 623, 6346, 7125, 519, 17710, 540, 9459, 834, 24703, 5443, 257, 593, 4013, 22504, 7641, 454, 268, 589, 7905, 570, 1845, 547, 19468, 7982, 513, 5240, 1975, 334, 1993, 2334, 654, 517, 1406, 3619, 589, 3118, 454, 268, 12924, 307, 3778, 3883, 17352, 281, 5808, 20944, 3502, 5367, 713, 10432, 888, 268, 1530, 534, 12070, 550, 345, 568, 1373, 1572, 968, 295, 16736, 779, 16024, 1014, 4840, 268, 25569, 338, 540, 3703, 12206, 4161, 10054, 540, 968, 26944, 2103, 585, 6628, 892, 5859, 0, 763, 8093, 2594, 568, 519, 1034, 3532, 19027, 540, 519, 3069, 540, 4720, 269, 283, 638, 6838, 1257, 11417, 1432, 568, 4720, 1759, 593, 286, 263, 10673, 1405, 2161, 834, 14396, 2580, 1317, 23963, 18702, 267, 621, 781, 7543, 585, 1272, 547, 1711, 3294, 4700, 12472, 568, 1759, 593, 519, 10178, 520, 673, 7287, 547, 6961, 602, 972, 781, 1100, 2362, 1379, 982, 812, 269, 898, 781, 519, 4984, 540, 519, 2451, 563, 257, 3080, 540, 519, 1034, 4583, 15455, 540, 782, 942, 568, 16329, 641, 6670, 343, 267, 799, 10905, 17207, 543, 20258, 3889, 15116, 547, 5017, 609, 2934, 540, 17878, 269, 589, 26600, 781, 4502, 540, 824, 905, 9312, 8093, 2249, 267, 930, 811, 26624, 543, 930, 1447, 267, 814, 849, 1044, 1336, 269, 589, 5311, 540, 15455, 21269, 519, 4720, 540, 2413, 9640, 689, 519, 6263, 661, 2129, 2089, 639, 269, 1733, 2297, 1185, 2185, 6122, 13949, 11937, 602, 15336, 593, 2244, 267, 543, 7068, 1634, 607, 2549, 12712, 665, 28127, 543, 14339, 327, 665, 28127, 5280, 547, 1118, 602, 5912, 1496, 5408, 834, 763, 26495, 1023, 2334, 1230, 638, 1229, 519, 1530, 553, 2437, 676, 25562, 654, 784, 282, 11660, 1977, 267, 2904, 4940, 26187, 559, 15798, 17850, 338, 10250, 519, 4720, 540, 1585, 30114, 639, 802, 998, 6634, 540, 1296, 269, 12344, 476, 736, 610, 811, 4630, 514, 1749, 630, 2254, 782, 540, 873, 938, 11937, 264, 6445, 519, 7934, 1063, 21667, 519, 513, 14094, 641, 30965, 322, 710, 543, 2413, 3425, 1701 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 634, 4116, 15527, 14751, 8271, 543, 3366, 1864, 998, 519, 1184, 540, 2870, 513, 1362, 1788, 10704, 1472, 661, 573, 620, 6363, 527, 337, 269, 17616, 267, 1352, 7152, 875, 547, 2824, 513, 9702, 2012, 630, 514, 713, 2013, 267, 661, 573, 620, 6363, 527, 337, 1070, 922, 4266, 267, 543, 4128, 3297, 922, 8343, 269, 3973, 267, 1352, 5189, 7585, 547, 519, 1523, 540, 2686, 2853, 267, 7713, 602, 891, 3769, 2238, 267, 5389, 267, 543, 3536, 2404, 609, 519, 13037, 780, 9202, 267, 519, 4116, 9415, 7585, 547, 4228, 2390, 519, 1788, 676, 5373, 5961, 18995, 3344, 540, 661, 573, 620, 6363, 527, 337, 267, 971, 607, 7802, 267, 23598, 267, 1612, 3547, 267, 543, 23929, 269, 3414, 713, 3635, 267, 7585, 4121, 827, 4687, 13144, 609, 9905, 543, 2502, 538, 7391, 1141, 2043, 2307, 543, 2626, 2055, 1759, 593, 3838, 2833, 269, 901, 5280, 1628, 4296, 1851, 5171, 543, 27838, 1620, 1063, 4529, 780, 9961, 519, 3992, 267, 7585, 14952, 539, 693, 8103, 781, 4390, 585, 8296, 543, 9322, 1282, 30018, 5712, 269, 6736, 1893, 7496, 267, 646, 6444, 519, 8471, 2470, 540, 7772, 995, 7215, 267, 905, 8463, 267, 543, 10516, 15377, 910, 782, 7533, 3334, 540, 3047, 781, 3309, 5044, 540, 32733, 1299, 18270, 725, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 3080, 540, 519, 1919, 594, 6557, 2731, 11981, 568, 602, 621, 3947, 803, 513, 4960, 547, 1589, 7184, 827, 875, 547, 946, 519, 2200, 538, 519, 4928, 269, 1306, 594, 729, 14202, 532, 713, 15813, 1715, 31054, 11314, 594, 7691, 602, 713, 1223, 581, 513, 835, 11325, 3860, 4976, 607, 519, 4589, 5497, 563, 3719, 621, 1223, 849, 8141, 513, 4901, 9236, 9702, 5389, 269, 1411, 1223, 1256, 946, 621, 607, 519, 4098, 540, 513, 1788, 547, 1374, 513, 4628, 1922, 956, 1117, 856, 11812, 269, 1656, 1287, 946, 930, 540, 519, 2093, 689, 3025, 779, 9702, 585, 707, 1439, 6361, 11665, 610, 1439, 6361, 4458, 5428, 2336, 22091, 21505, 519, 5741, 454, 1103, 519, 2534, 607, 2854, 267, 1053, 4584, 513, 2012, 540, 513, 9702, 267, 519, 4266, 267, 519, 2601, 585, 621, 267, 519, 2238, 267, 1022, 5389, 267, 543, 519, 1426, 269, 1717, 267, 596, 666, 1246, 5346, 713, 909, 676, 2348, 1053, 2721, 24853, 610, 23598, 593, 519, 1394, 269, 1358, 1522, 1256, 1616, 547, 2721, 856, 31959, 11507, 610, 2757, 7544, 3268, 563, 3086, 596, 666, 723, 1053, 2671, 741, 14812, 609, 1142, 824, 538, 8424, 610, 1507, 2516, 269, 2142, 2386, 602, 519, 4891, 616, 6998, 1142, 824, 844, 6231, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32733, 1299, 18270, 725, 1315, 4033, 267, 16241, 1315, 661, 573, 620, 6363, 527, 337, 267, 547, 606, 9813, 3957, 7585, 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, 7585, 606, 9813, 269, 0, 769, 519, 4571, 3562, 2000, 622, 13524, 2540, 267, 1079, 1713, 5339, 5322, 7153, 538, 3013, 281, 30527, 543, 13636, 1143, 269, 5637, 5322, 8179, 547, 1683, 8076, 11269, 540, 4948, 1272, 543, 2833, 540, 8723, 1004, 267, 11651, 3101, 689, 519, 11509, 1242, 28402, 11342, 538, 4505, 2148, 2137, 269, 901, 3184, 786, 5490, 883, 891, 5322, 262, 4295, 3741, 267, 4162, 267, 7986, 4589, 267, 543, 1568, 1247, 8220, 873, 547, 4207, 2152, 543, 4143, 2090, 780, 3725, 16117, 607, 513, 5339, 3350, 6322, 693, 18995, 1272, 8308, 543, 25473, 1510, 30996, 7321, 610, 4998, 1436, 269, 634, 3119, 3804, 729, 547, 16616, 6848, 2175, 267, 1480, 2470, 267, 543, 1514, 2042, 676, 3246, 513, 21705, 8086, 540, 4641, 269, 19536, 5059, 593, 9306, 11541, 3197, 543, 3871, 6537, 689, 741, 7525, 10450, 2864, 982, 13461, 593, 28531, 2609, 610, 5283, 617, 18769, 780, 8802, 1308, 1143, 267, 5702, 2404, 609, 30527, 267, 15091, 13830, 3982, 6237, 4529, 267, 22463, 267, 9821, 267, 543, 8916, 1369, 519, 2136, 2276, 269, 1635, 10223, 2199, 2681, 543, 2189, 3344, 540, 1585, 4525, 267, 5830, 25139, 1312, 519, 3838, 3084, 3961, 543, 3309, 23658, 30743, 17706, 12371, 2429, 519, 2197, 269, 10705, 1305, 538, 6917, 2127, 267, 13636, 626, 1568, 13934, 519, 17888, 10206, 602, 4683, 5468, 941, 20244, 811, 10427, 610, 1271, 780, 30875, 6276, 267, 5261, 25760, 1215, 20635, 267, 4460, 30805, 267, 543, 25562, 932, 641, 514, 1796, 856, 607, 930, 540, 519, 1034, 9565, 5515, 1282, 713, 1974, 269, 8361, 6276, 267, 1634, 585, 1010, 6946, 5626, 9382, 267, 8268, 4798, 540, 2123, 3961, 267, 13919, 267, 543, 8226, 998, 1950, 3347, 1063, 3197, 269, 3571, 3209, 834, 763, 5800, 11681, 540, 513, 15248, 257, 630, 6642, 272, 1070, 2808, 513, 5929, 1383, 540, 30527, 267, 5205, 1772, 8475, 1488, 7815, 607, 1352, 4044, 919, 1200, 16012, 7115, 9624, 6848, 6788, 543, 22686, 13800, 780, 19365, 25760, 1215, 20635, 267, 1776, 11358, 4137, 538, 1977, 30527, 267, 13084, 16845, 5168, 6888, 267, 16134, 267, 543, 9111, 538, 3332, 269, 3571, 960, 4749, 8947, 1362, 21441, 543, 13253, 267, 3226, 10423, 538, 834, 763, 22547, 540, 8125, 553, 700, 777, 5069, 257, 630, 6642, 276, 1040, 3414, 922, 16502, 267, 513, 1582, 13402, 4853, 626, 20678, 585, 10343, 538, 11785, 2486, 267, 1215, 20635, 1814, 31985, 519, 14461, 25327, 1459, 538, 717, 843, 539, 6520, 3013, 780, 15812, 30805, 267, 24903, 519, 19466, 2278, 2404, 609, 13636, 1143, 267, 29689, 9644, 543, 24337, 883, 10853, 6386, 10704, 1472, 11068, 13523, 5757, 10034, 543, 2950, 269, 3718, 899, 834, 3849, 1203, 999, 540, 670, 22976, 9440, 18373, 257, 630, 6642, 275, 264, 29506, 1242, 7292, 14882, 267, 5837, 3834, 4531, 19192, 267, 543, 1514, 8635, 1247, 14120, 11505, 543, 8296, 780, 298, 622, 932, 641, 514, 8329, 3648, 547, 2021, 781, 2924, 5717, 998, 1200, 16367, 29293, 540, 4775, 7287, 267, 13190, 267, 543, 771, 650, 4288, 618, 269, 4173, 25761, 960, 267, 834, 763, 21220, 23818, 257, 630, 6245, 280, 1070, 4843, 3798, 3534, 30716, 749, 1512, 781, 1391, 585, 1582, 3125, 543, 4638, 19802, 1996, 519, 20457, 540, 11511, 1961, 17039, 2486, 1107, 4101, 2757, 4008, 5107, 543, 6788, 780, 1103, 2221, 781, 2686, 5251, 267, 30172, 540, 30527, 543, 13636, 1143, 6414, 2066, 1585, 23447, 269, 1280, 3236, 267, 8613, 3126, 899, 834, 763, 18514, 2437, 834, 17954, 1136, 14068, 2437, 543, 834, 1607, 1772, 2974, 257, 12013, 1518, 7464, 2065, 9423, 2553, 676, 3695, 14227, 13103, 267, 1920, 6384, 267, 8213, 267, 2790, 1072, 267, 543, 824, 12905, 4145, 269, 6684, 267, 4670, 14624, 540, 5929, 9089, 971, 607, 834, 763, 4279, 30056, 257, 543, 834, 12148, 717, 761, 257, 3136, 547, 13469, 1813, 547, 741, 27733, 538, 1808, 3140, 8658, 543, 4977, 6041, 540, 31546, 15066, 1893, 543, 2528, 780, 11101, 267, 4207, 4589, 899, 20908, 332, 2106, 24156, 267, 27050, 681, 1662, 267, 543, 10906, 853, 709, 339, 4163, 4464, 519, 9371, 540, 30527, 543, 13636, 1143, 998, 741, 12667, 28402, 540, 12790, 2043, 267, 10010, 3885, 267, 543, 10058, 6237, 9163, 269, 4256, 9757, 1568, 9497, 306, 532, 1133, 10767, 1221, 7327, 2437, 834, 306, 699, 3534, 2437, 543, 834, 30469, 633, 918, 7867, 3805, 8442, 20838, 875, 11972, 4798, 910, 6710, 267, 10168, 267, 10072, 267, 2648, 267, 2530, 267, 543, 6043, 910, 2611, 22317, 1256, 607, 789, 6330, 9687, 2797, 267, 2804, 267, 543, 6639, 16374, 780, 10932, 814, 9846, 3254, 602, 2502, 609, 3332, 666, 6536, 6568, 267, 2565, 3206, 1983, 267, 543, 3444, 14426, 24300, 630, 295, 820, 332, 592, 1457, 267, 476, 1220, 271, 282, 2098, 684, 3333, 710, 267, 476, 1220, 277, 1040, 5548, 1324, 4514, 883, 30527, 543, 13636, 1143, 6087, 3988, 711, 1152, 547, 5660, 519, 26274, 540, 28138, 5931, 855, 849, 547, 2992, 2390, 10296, 1514, 2591, 1287, 543, 1631, 269, 1306, 6800, 540, 2413, 2923, 5051, 3747, 13597, 267, 8356, 766, 267, 543, 4763, 267, 4974, 891, 5339, 5389, 3587, 2479, 811, 1898, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 808, 4306, 299, 281, 808, 9915, 9208, 22105, 7732, 918, 1157, 3399, 540, 2312, 543, 2953, 4930, 568, 10169, 711, 6862, 20866, 263, 8633, 267, 1261, 2663, 568, 713, 547, 519, 11036, 1178, 2643, 13554, 14872, 1995, 5189, 538, 519, 4062, 540, 519, 6561, 269, 898, 2488, 824, 547, 1865, 602, 519, 824, 263, 3450, 264, 2344, 540, 21108, 835, 1082, 14223, 1131, 12366, 1047, 20291, 607, 519, 13464, 744, 312, 540, 19316, 24539, 1164, 547, 519, 1655, 1344, 2104, 1419, 5551, 269, 476, 1001, 280, 282, 10952, 5354, 538, 519, 3800, 543, 4093, 267, 799, 29246, 534, 534, 263, 594, 267, 1259, 476, 2190, 264, 568, 3144, 607, 4058, 1524, 519, 1896, 7916, 540, 519, 3332, 5783, 269, 16217, 343, 324, 1108, 18128, 1828, 776, 282, 543, 3112, 1445, 5258, 538, 711, 1906, 11707, 269, 2353, 938, 808, 4306, 299, 281, 808, 9915, 9208, 22105, 7732, 918, 1157, 3399, 568, 547, 519, 2427, 269, 1809, 519, 25481, 1851, 971, 2984, 540, 1646, 949, 3045, 8811, 30968, 8168, 6937, 267, 543, 15061, 1818, 949, 2721, 721, 11173, 827, 1018, 649, 616, 547, 5094, 269, 1677, 11979, 1949, 267, 782, 2344, 18928, 6035, 568, 2228, 547, 2009, 6032, 907, 942, 568, 1739, 909, 606, 1454, 31234, 264, 274, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 2622, 9085, 1315, 1977, 1315, 476, 866, 628, 11416, 1315, 30527, 543, 13636, 1143, 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, 6092, 5149, 281, 7392, 476, 273, 30579, 8566, 730, 25914, 728, 19305, 630, 5141, 290, 268, 273, 264, 543, 922, 10020, 538, 3733, 601, 514, 4886, 540, 1715, 9799, 681, 1846, 262, 24583, 13887, 6519, 17460, 609, 30123, 1049, 12128, 631, 749, 7978, 630, 294, 19699, 2020, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1950, 2078, 1063, 7392, 476, 273, 30579, 8566, 730, 25914, 728, 19305, 630, 5141, 290, 268, 273, 1070, 29556, 3987, 22577, 630, 294, 19699, 1070, 543, 24869, 514, 1646, 540, 20169, 14148, 262, 19548, 3043, 2339, 269, 1284, 786, 2263, 519, 10894, 11444, 3238, 543, 4983, 519, 6127, 676, 799, 1164, 7280, 2157, 1860, 891, 3157, 780, 20058, 267, 1577, 721, 2253, 609, 513, 5618, 7650, 540, 1849, 290, 268, 273, 269, 901, 8756, 12851, 547, 513, 1920, 540, 17296, 9055, 602, 616, 4922, 6829, 2429, 519, 1560, 267, 1519, 519, 2634, 269, 1358, 1404, 2629, 5107, 538, 15725, 27090, 2300, 527, 1464, 267, 4509, 9357, 27921, 267, 543, 9013, 1591, 4320, 269, 13018, 267, 538, 519, 2796, 540, 938, 4901, 267, 1849, 290, 268, 273, 814, 1044, 3254, 547, 581, 1898, 585, 1697, 24869, 1588, 540, 519, 3844, 8401, 1062, 780, 3086, 267, 1577, 721, 2490, 938, 3007, 547, 29556, 3987, 22577, 630, 294, 19699, 1070, 513, 2783, 6353, 676, 9402, 7280, 10892, 1282, 6379, 269, 6468, 609, 717, 19699, 723, 2362, 982, 3339, 1973, 4006, 2157, 267, 3056, 547, 1896, 8374, 585, 1312, 3993, 543, 1126, 269, 2290, 971, 28658, 568, 15176, 24869, 1588, 540, 519, 3384, 2634, 538, 15556, 267, 4611, 538, 5042, 22907, 543, 14715, 4713, 2663, 538, 1272, 780, 763, 1353, 5018, 538, 519, 4367, 6322, 547, 8495, 519, 1198, 543, 7271, 540, 1849, 290, 268, 273, 593, 24869, 514, 1646, 540, 20169, 14148, 262, 19548, 3043, 2339, 609, 717, 19699, 269, 1677, 798, 865, 267, 789, 1101, 3964, 513, 717, 19699, 3731, 2203, 676, 1802, 1424, 5409, 16744, 20945, 538, 3735, 1790, 27389, 656, 14148, 269, 8921, 267, 789, 8947 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 654, 1180, 1359, 875, 547, 10880, 713, 3666, 286, 901, 3460, 21048, 2812, 782, 519, 18710, 543, 1148, 540, 1373, 707, 1378, 17869, 548, 14575, 1247, 9363, 16135, 1107, 513, 1272, 11600, 585, 2208, 267, 1967, 267, 543, 8076, 3347, 269, 3367, 593, 543, 2981, 2336, 3383, 267, 1018, 568, 513, 2110, 2626, 547, 875, 547, 581, 1312, 18803, 543, 8746, 888, 2414, 581, 1312, 18803, 543, 8746, 267, 3666, 1582, 18221, 609, 1582, 12431, 3293, 1145, 269, 5700, 707, 9342, 543, 1810, 1406, 21183, 2476, 689, 873, 267, 855, 849, 5431, 707, 7687, 543, 2127, 585, 2208, 269, 18124, 707, 2093, 7682, 1947, 267, 2943, 581, 1930, 547, 8391, 5955, 1932, 269, 18270, 622, 707, 18517, 1510, 1517, 8636, 1782, 1866, 269, 11408, 2226, 513, 1565, 10182, 543, 2463, 585, 1866, 267, 799, 24598, 1231, 21548, 543, 11942, 2635, 6015, 563, 8368, 540, 12937, 454, 8139, 21548, 568, 513, 4909, 1900, 538, 14237, 1312, 21548, 543, 6015, 538, 13951, 269, 9966, 1006, 568, 711, 827, 1582, 1673, 18341, 566, 610, 3668, 540, 1582, 2275, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 590, 23852, 29803, 1315, 9608, 12618, 1315, 11773, 1315, 15557, 543, 21478, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 476, 276, 269, 275, 4033, 10241, 540, 18909, 14938, 1878, 543, 6178, 1023, 692, 2026, 649, 5490, 4514, 883, 519, 1158, 540, 25080, 1763, 28585, 24919, 630, 28122, 1070, 621, 3587, 2312, 1175, 875, 11684, 713, 2029, 5963, 568, 269, 769, 1840, 547, 14715, 267, 13487, 267, 543, 30273, 9196, 267, 972, 2291, 3875, 824, 3156, 540, 18909, 9696, 543, 6786, 269, 1452, 2039, 689, 16326, 29406, 12970, 547, 4974, 2634, 1599, 1282, 1585, 4247, 269, 1924, 1577, 721, 7832, 593, 606, 3078, 3460, 998, 891, 14758, 8153, 855, 8449, 4241, 26441, 540, 18909, 2439, 17954, 770, 24919, 692, 3080, 971, 3498, 6013, 1369, 6089, 9196, 267, 1141, 18909, 4249, 513, 2629, 1909, 538, 2038, 7020, 543, 5868, 540, 6089, 2860, 269, 1635, 9001, 7463, 10873, 3358, 4481, 2509, 6089, 5160, 267, 10237, 5505, 666, 10625, 23872, 15087, 1419, 14406, 676, 2757, 7882, 2762, 2553, 269, 901, 568, 2523, 1271, 950, 7231, 609, 10053, 28244, 610, 2550, 693, 2362, 1981, 1813, 547, 4719, 32739, 269, 5047, 267, 19182, 3674, 2709, 9120, 2571, 2389, 22568, 4334, 3379, 547, 7882, 9999, 267, 4611, 538, 8476, 14839, 540, 1312, 22480, 543, 23872, 13999, 780, 17951, 25086, 692, 5194, 10578, 25246, 540, 18909, 3322, 2587, 25086, 1107, 519, 1875, 29554, 6514, 540, 1973, 8043, 2429, 519, 1560, 269, 3414, 4028, 11601, 9696, 1634, 607, 5384, 6361, 6363, 2775, 630, 15674, 293, 264, 543, 18001, 25037, 630, 15425, 264, 2409, 267, 13500, 666, 6218, 2095, 29702, 543, 4287, 1275, 1369, 16209, 543, 15532, 7567, 269, 4911, 328, 4919, 18909, 814, 8810, 3226, 3407, 538, 7114, 15466, 17244, 971, 607, 23296, 2670, 630, 333, 5535, 532, 1070, 29473, 2424, 630, 23026, 1137, 1070, 543, 31729, 916, 630, 4252, 3019, 532, 1040, 3958, 267, 6422, 4334, 10276, 327, 2331, 631, 6938, 630, 300, 8568, 1763, 28585, 4911, 25086, 264, 6087, 14839, 540, 6077, 19349, 3270, 936, 942, 267, 2417, 21528, 19353, 538, 23235, 2175, 899, 17422, 2377, 565, 1143, 543, 15672, 16050, 2068, 780, 293, 23341, 18909, 630, 325, 28122, 2020, 3086, 4952, 1373, 2111, 547, 7747, 799, 2127, 540, 519, 2634, 19334, 1282, 1114, 5042, 3157, 610, 3929, 2829, 256, 23398, 18909, 1281, 10502, 602, 676, 7893, 2242, 538, 5135, 566, 2157, 2404, 609, 8849, 2534, 269, 535, 28122, 12346, 8185, 2390, 10552, 27488, 5426, 667, 8817, 630, 289, 5357, 291, 264, 4334, 267, 3850, 3173, 547, 22942, 4525, 3238, 538, 3388, 689, 1893, 8223, 547, 1928, 8226, 269, 5015, 267, 4305, 2861, 535, 28122, 2090, 948, 30881, 6198, 14479, 5121, 26582, 538, 17867, 4713, 971, 607, 4965, 267, 4160, 267, 543, 18624, 780, 11795, 4288, 32150, 24919, 630, 291, 2316, 2020, 1103, 2487, 1296, 267, 5262, 4288, 32150, 24919, 630, 291, 2316, 264, 814, 7153, 607, 513, 3532, 1907, 585, 14236, 3043, 2339, 8778, 338, 1369, 519, 3844, 8401, 1062, 269, 667, 2316, 3854, 3278, 593, 1216, 11140, 18236, 3601, 547, 4786, 856, 6775, 31223, 267, 13031, 2565, 1344, 3823, 7293, 8699, 543, 14479, 1063, 3982, 2634, 4525, 269, 7885, 1227, 6340, 267, 667, 2316, 6585, 1390, 9153, 585, 10442, 5778, 16467, 11365, 4713, 267, 15779, 7063, 267, 543, 28115, 894, 3676, 1519, 12216, 781, 543, 19576, 781, 780, 306, 1051, 18122, 692, 7661, 267, 1100, 4901, 540, 4359, 18909, 2553, 1131, 581, 2347, 1510, 4304, 21655, 269, 2755, 6671, 18909, 5097, 6212, 593, 26715, 3889, 267, 6419, 16982, 21655, 2488, 23020, 4030, 17640, 547, 10894, 12632, 269, 13018, 267, 23442, 630, 295, 268, 264, 543, 16903, 630, 303, 268, 264, 26034, 6556, 4105, 1239, 7282, 9830, 540, 1898, 7135, 899, 715, 14092, 1214, 20393, 4820, 622, 630, 2793, 288, 1070, 1525, 710, 630, 24979, 1070, 669, 13238, 630, 2419, 334, 1070, 14915, 622, 630, 299, 659, 1070, 543, 22803, 8485, 919, 630, 303, 328, 1040, 6270, 1702, 18327, 17170, 538, 1167, 518, 940, 27690, 19260, 22566, 540, 1585, 14715, 2175, 267, 29406, 1332, 2195, 267, 610, 1256, 6797, 14524, 780, 6962, 692, 29012, 267, 519, 7706, 540, 18909, 9696, 543, 6786, 11498, 2484, 3564, 1018, 10742, 519, 3750, 267, 21214, 16221, 3156, 6322, 693, 7393, 10368, 6111, 267, 9354, 6304, 267, 543, 3621, 1620, 269, 2060, 4797, 7760, 538, 8800, 7207, 267, 3301, 6620, 267, 543, 1617, 574, 27567, 5610, 2994, 267, 835, 666, 1152, 14952, 693, 519, 3808, 1652, 1761, 4371, 676, 713, 7415, 2029, 269, 5808, 6487, 1107, 5310, 14693, 4166, 267, 9358, 786, 3565, 547, 922, 2479, 21608, 1650, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 28122, 14938, 1878, 543, 6178, 1023, 257, 5497, 585, 1164, 1153, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 547, 18909, 14938, 1878, 543, 6178, 1023, 2580, 834, 273, 269, 9978, 18909, 14938, 1878, 543, 6178, 1023, 2580, 834, 274, 269, 11628, 18909, 14938, 1878, 543, 6178, 1023, 2580, 834, 275, 269, 12005, 3203, 604, 9711, 543, 22159, 9828, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 276, 269, 10241, 540, 18909, 14938, 1878, 543, 6178, 1023, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 276, 269, 272, 269, 27096, 673, 9196, 2580, 834, 276, 269, 273, 269, 9315, 13519, 9196, 2580, 834, 276, 269, 274, 269, 4053, 1529, 25063, 9196, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 276, 269, 275, 269, 4033, 3156, 540, 18909, 9696, 543, 6786, 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, 769, 1920, 1876, 267, 519, 27072, 540, 513, 7365, 998, 16028, 1419, 3322, 1950, 2152, 3823, 519, 6498, 540, 29281, 3959, 269, 901, 1184, 666, 581, 513, 2707, 540, 1543, 542, 1063, 32682, 1424, 838, 11817, 267, 3226, 952, 972, 568, 513, 8101, 2179, 540, 3838, 7221, 3238, 269, 2552, 9009, 547, 2442, 3661, 267, 16028, 1281, 711, 8209, 1611, 602, 1142, 5428, 786, 4309, 4010, 3368, 540, 782, 24973, 11262, 22590, 282, 3079, 267, 519, 25727, 540, 10697, 14305, 4096, 7361, 2390, 1367, 1533, 4031, 543, 519, 2470, 540, 519, 7221, 2933, 269, 901, 3184, 12538, 883, 519, 14960, 540, 29281, 3959, 6498, 267, 4481, 6313, 12581, 3892, 910, 513, 1062, 6964, 676, 1896, 2829, 267, 1519, 17857, 267, 799, 11363, 14619, 2864, 982, 14461, 6310, 15523, 780, 2414, 2253, 609, 267, 621, 781, 2629, 547, 10646, 1063, 5094, 543, 29281, 3959, 269, 2878, 20225, 26147, 3959, 1262, 4016, 547, 1346, 7221, 9715, 1991, 547, 519, 7365, 610, 4607, 3842, 18472, 610, 10516, 1282, 519, 9769, 269, 6270, 3601, 3335, 2611, 896, 519, 9562, 540, 519, 3312, 23649, 8259, 862, 532, 1194, 609, 29281, 7482, 267, 7551, 635, 2364, 908, 741, 8760, 269, 2201, 519, 824, 1688, 267, 2878, 3405, 1388, 3959, 1262, 13315, 1022, 7221, 6591, 610, 2799, 538, 1871, 2429, 519, 8653, 540, 519, 7365, 267, 7488, 540, 4171, 2012, 5526, 593, 519, 632, 539, 610, 2140, 269, 5871, 8320, 540, 29281, 3959, 2874, 540, 4747, 12236, 1282, 519, 7365, 267, 16468, 6589, 267, 1483, 10040, 12349, 1927, 267, 543, 1256, 22440, 19017, 15217, 780, 5629, 4857, 267, 12270, 29281, 3959, 3587, 519, 17122, 1448, 269, 1306, 5892, 5018, 267, 1978, 22875, 15666, 547, 2146, 3959, 6042, 8506, 513, 5730, 476, 2004, 270, 2004, 8237, 540, 782, 27216, 7221, 269, 1717, 267, 1082, 1866, 1107, 971, 607, 17857, 1107, 1904, 585, 606, 4244, 1935, 1634, 607, 2878, 3225, 3386, 3892, 1262, 269, 7201, 11017, 2740, 676, 3741, 540, 14619, 543, 5126, 267, 12581, 3892, 6663, 693, 8236, 513, 7059, 813, 10407, 618, 3358, 547, 519, 1880, 6381, 540, 1142, 7008, 269, 4014, 9698, 3085, 1405, 2141, 14377, 547, 6207, 7862, 267, 10470, 20089, 547, 3651, 13980, 8167, 2299, 267, 2921, 16221, 2188, 883, 2272, 780, 16449, 891, 9270, 616, 912, 272, 269, 20099, 540, 519, 7365, 281, 7043, 518, 18787, 949, 28173, 811, 8449, 7856, 7221, 1813, 547, 3152, 22524, 11163, 3964, 936, 942, 563, 273, 269, 19928, 1903, 547, 519, 11601, 540, 29281, 3959, 281, 5637, 2883, 543, 1875, 1922, 514, 2574, 7418, 630, 324, 3052, 1421, 4630, 655, 1136, 264, 3180, 6697, 2597, 538, 8159, 875, 7221, 1058, 581, 5258, 563, 274, 269, 9483, 6381, 2022, 1673, 643, 13396, 281, 589, 5480, 1522, 3870, 8366, 532, 513, 3677, 2671, 547, 513, 7649, 945, 1274, 985, 3648, 1447, 610, 26770, 547, 7237, 2883, 7965, 1739, 9668, 563, 275, 269, 6520, 267, 1072, 267, 543, 25367, 1983, 540, 1142, 23947, 281, 1452, 2609, 3815, 883, 10526, 540, 2104, 15980, 1761, 543, 7115, 563, 276, 269, 12525, 4539, 4611, 689, 519, 3959, 6498, 281, 7225, 2471, 1590, 9260, 519, 3454, 6286, 2404, 609, 1114, 14778, 950, 20678, 585, 1226, 527, 1464, 563, 277, 269, 31654, 617, 658, 12417, 585, 5634, 1453, 281, 30271, 4749, 2832, 547, 8190, 6617, 585, 15556, 676, 4509, 15364, 538, 8027, 3871, 610, 9319, 3768, 826, 27465, 1102, 21719, 2390, 3119, 15637, 563, 278, 269, 17904, 995, 4744, 11692, 540, 29281, 7221, 281, 1403, 835, 23947, 2695, 32752, 610, 17543, 14796, 3838, 2200, 267, 519, 9794, 1223, 15558, 713, 2623, 538, 7766, 3959, 782, 23148, 563, 279, 269, 7102, 2854, 6876, 1063, 519, 6105, 630, 7945, 607, 840, 20692, 696, 658, 11650, 2567, 20260, 783, 24300, 6603, 1354, 610, 1282, 519, 7365, 666, 8185, 3310, 3803, 3664, 7282, 3959, 6498, 780, 4407, 16488, 2226, 24787, 538, 10442, 891, 7355, 267, 789, 1590, 24808, 2312, 7787, 525, 5885, 741, 1999, 5209, 269, 5047, 267, 15185, 723, 519, 4316, 547, 21907, 741, 1378, 17260, 3544, 540, 5480, 267, 3177, 1312, 5011, 3914, 20102, 3858, 762, 2474, 543, 10505, 873, 585, 16324, 13170, 269, 1635, 3257, 865, 267, 4891, 11677, 1852, 936, 4093, 1247, 5732, 4227, 1035, 3234, 3415, 543, 11880, 1746, 21368, 3379, 547, 25036, 780, 2026, 6848, 8155, 11457, 267, 865, 1932, 798, 12496, 540, 1018, 13054, 14619, 538, 29281, 3959, 6498, 269, 10765, 10593, 4724, 4008, 26027, 538, 7694, 543, 2069, 723, 3366, 930, 5640, 547, 2243, 2757, 10054, 5817, 620, 574, 3415, 11033, 543, 5763, 3892, 269, 1280, 3236, 267, 1382, 5342, 676, 519, 1977, 9142, 540, 4223, 3234, 11102, 4521, 14636, 7000, 602, 5176, 15823, 2600, 540, 922, 2818, 4080, 606, 2333, 538, 11299, 9878, 1126, 1489, 2094, 476, 1001, 271, 269, 5015, 267, 513, 1353, 3370, 538, 519, 4750, 540, 7731, 12983, 1336, 602, 2021, 4810, 2362, 3928, 540, 6710, 1310, 16028, 982, 2367, 1705, 267, 11021, 602, 4540, 10850, 949, 25409, 19319, 4775, 7218, 780, 4322, 7835, 20838, 519, 991, 585, 5571, 8086, 543, 9542, 1369, 1920, 1876, 2259, 269, 13751, 4648, 1590, 3251, 5483, 827, 6932, 3466, 543, 4497, 538, 2565, 11407, 4478, 519, 1034, 2500, 2409, 585, 5009, 9758, 14619, 543, 1279, 3856, 8171, 1851, 19459, 838, 11817, 269, 11569, 267, 5807, 10319, 5188, 543, 3860, 1966, 9010, 3788, 1898, 547, 10188, 519, 16082, 540, 29281, 3959, 6498, 543, 4180, 1175, 4093, 585, 782, 6105, 3238, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24679, 568, 513, 1455, 31605, 538, 519, 2136, 2276, 602, 16028, 1797, 9561, 3368, 540, 3388, 596, 1378, 547, 707, 608, 269, 15439, 2322, 267, 713, 568, 711, 3020, 607, 1169, 1533, 814, 2189, 4031, 17640, 547, 3959, 6498, 538, 16028, 269, 2755, 596, 666, 3622, 2503, 547, 7941, 930, 540, 707, 7221, 609, 707, 23947, 538, 16028, 267, 972, 616, 3604, 1851, 519, 1585, 2010, 540, 7221, 267, 1519, 2436, 789, 20618, 585, 6498, 563, 1103, 1840, 267, 1533, 4031, 1404, 513, 1713, 1909, 538, 3959, 6498, 1282, 16028, 269, 2368 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1318, 5567, 269, 589, 17022, 666, 1683, 8192, 7840, 585, 9176, 17544, 547, 1489, 741, 2208, 563, 291, 4851, 540, 17794, 3650, 15529, 6379, 454, 2414, 1174, 519, 8653, 540, 17794, 3650, 15529, 6379, 267, 5490, 883, 519, 3328, 3259, 540, 6379, 543, 2188, 602, 666, 1860, 621, 269, 13028, 519, 4030, 3297, 519, 942, 621, 3217, 585, 891, 32620, 7068, 547, 3142, 1007, 1272, 883, 519, 1158, 543, 519, 1585, 2609, 602, 666, 3310, 519, 3259, 540, 741, 6379, 563, 30182, 3259, 540, 6379, 454, 299, 542, 3650, 17544, 1107, 1634, 585, 741, 24566, 812, 324, 1107, 723, 513, 6379, 1974, 4502, 3695, 269, 1452, 6653, 2370, 2831, 979, 998, 513, 32460, 1354, 2348, 9002, 269, 2913, 779, 1413, 693, 519, 5013, 912, 299, 542, 3650, 17544, 723, 606, 3328, 6379, 3259, 540, 476, 2764, 268, 4029, 2395, 269, 901, 2982, 741, 3608, 10285, 4783, 563, 12441, 596, 917, 286, 4438, 519, 6379, 267, 17794, 3650, 17544, 1995, 1560, 2242, 269, 1358, 1118, 20097, 1210, 9663, 543, 824, 2326, 269, 2334, 779, 606, 5863, 9542, 585, 8744, 1272, 883, 519, 1158, 563, 3682, 17785, 281, 1677, 948, 17794, 3650, 17544, 723, 8902, 9002, 267, 2285, 873, 513, 9602, 267, 2566, 6954, 1604, 269, 3550, 789, 723, 513, 635, 325, 344, 1747, 547, 1628, 20097, 543, 20741, 1762, 3283, 563, 26502, 602, 666, 1860, 519, 3259, 540, 6379, 454, 26452, 2188, 666, 1860, 519, 3259, 540, 513, 17794, 3650, 15529, 6379, 269, 3371, 779, 1018, 547, 1589, 827, 912, 268, 476, 272, 269, 6601, 539, 281, 7756, 2010, 540, 17794, 3650, 17544, 949, 723, 1114, 32460, 2053, 269, 5192, 547, 917, 519, 9742, 779, 3328, 6379, 3259, 563, 268, 476, 273, 269, 2637, 525, 281, 634, 15529, 779, 4719, 17539, 666, 3310, 519, 6379, 8653, 269, 670, 1229, 3202, 7592, 543, 4719, 19753, 21752, 666, 1404, 513, 1909, 563, 268, 476, 274, 269, 5113, 281, 634, 1604, 543, 922, 2175, 666, 3313, 875, 1279, 513, 17794, 3650, 15529, 11438, 922, 9002, 269, 6056, 281, 2837, 267, 11195, 267, 543, 2489, 2713, 2175, 563, 268, 476, 275, 269, 10791, 281, 589, 7059, 2732, 568, 2629, 1282, 6379, 267, 1317, 3983, 6484, 666, 1291, 547, 2042, 610, 12675, 32460, 563, 300, 11189, 1072, 543, 2085, 616, 824, 4632, 269, 1677, 2327, 513, 3811, 9960, 1184, 267, 3251, 5483, 827, 891, 2188, 18363, 32460, 3259, 269, 9861, 3222, 2636, 585, 1697, 7041, 543, 1416, 267, 30364, 1312, 519, 3993, 543, 1200, 9002, 563, 17809, 728, 707, 17794, 3650, 15529, 609, 519, 1655, 2175, 1282, 741, 6379, 269, 9796, 3007, 547, 891, 12018, 2188, 585, 741, 1134, 5630, 543, 2104, 5481, 685, 1967, 269, 6875, 2962, 1631, 585, 513, 2635, 6379, 3460, 2336, 27609, 532, 585, 519, 12625, 540, 4816, 17794, 3650, 17544, 454, 2414, 5965, 585, 519, 12625, 540, 4816, 17794, 3650, 17544, 267, 1711, 513, 5078, 21224, 1858, 543, 1683, 519, 1318, 2732, 585, 519, 9176, 15529, 269, 1452, 3268, 3565, 547, 4180, 513, 6899, 543, 2635, 1604, 585, 519, 24584, 3993, 543, 1200, 4166, 3562, 15515, 23899, 15556, 563, 17730, 513, 5078, 21224, 1858, 454, 268, 8073, 513, 9602, 267, 694, 7672, 5544, 538, 707, 1753, 585, 519, 17544, 563, 268, 2422, 2326, 899, 18720, 610, 12450, 585, 28945, 563, 268, 9255, 513, 3002, 15033, 14950, 610, 3905, 1216, 11480, 896, 851, 540, 519, 28945, 547, 1832, 873, 3636, 563, 268, 5269, 2386, 972, 568, 2614, 25312, 1510, 1022, 31585, 563, 268, 11162, 543, 2226, 519, 21224, 1858, 5781, 563, 268, 7435, 548, 20169, 17794, 3650, 17544, 9900, 543, 2057, 23892, 519, 21224, 1858, 563, 268, 10925, 513, 9566, 4216, 538, 519, 21224, 1858, 1932, 269, 901, 786, 1118, 873, 1745, 5150, 267, 1175, 899, 538, 741, 2067, 7226, 563, 17809, 4575, 519, 1318, 2732, 585, 519, 9176, 15529, 454, 17809, 4575, 519, 1318, 2732, 585, 707, 9176, 15529, 568, 2706, 1271, 585, 1200, 1072, 543, 1200, 9002, 685, 1646, 269, 715, 26798, 2115, 585, 513, 9176, 536, 22324, 1331, 912, 26180, 3306, 29641, 543, 4173, 2125, 1475, 291, 2905, 2008, 303, 27389, 656, 17544, 991, 811, 5567, 267, 899, 5946, 543, 6775, 269, 16376, 873, 19957, 1164, 7779, 18720, 267, 799, 1058, 581, 476, 3583, 268, 3199, 260, 540, 741, 2732, 269, 12315, 873, 4195, 19787, 543, 11922, 3232, 585, 8324, 543, 6886, 269, 3417, 26005, 855, 1152, 476, 736, 268, 1789, 260, 540, 741, 1426, 563, 2005, 779, 1655, 547, 2911, 547, 513, 17022, 21751, 538, 16678, 2831, 585, 10531, 5796, 269, 769, 519, 3735, 476, 736, 628, 2540, 267, 3173, 6594, 6484, 779, 1764, 593, 3662, 10285, 1967, 269, 1358, 1336, 602, 519, 1318, 6484, 1282, 6379, 10607, 3158, 543, 4816, 779, 1072, 543, 1134, 5630, 563, 22512, 1282, 6379, 454, 2414, 2327, 519, 1134, 5630, 540, 707, 17794, 3650, 15529, 1282, 6379, 267, 621, 568, 1898, 547, 1683, 1697, 1416, 269, 8617, 18915, 2638, 13522, 543, 30190, 5464, 540, 707, 15529, 779, 1072, 543, 1134, 5630, 616, 519, 1883, 3435, 269, 1452, 1016, 5498, 2388, 786, 3391, 596, 998, 519, 2556, 15416, 543, 3800, 547, 1489, 513, 2635, 543, 3811, 6379, 585, 707, 17794, 3650, 15529, 563, 19894, 18915, 2638, 13522, 454, 2005, 568, 1898, 547, 3643, 519, 16943, 1282, 6379, 269, 901, 6087, 4879, 540, 1312, 519, 3993, 779, 543, 796, 9799, 9002, 685, 1072, 269, 8617, 11564, 5351, 538, 2038, 7020, 540, 8374, 610, 17244, 269, 966, 1115, 666, 1683, 6484, 543, 3635, 5796, 269, 26616, 4255, 543, 3706, 6652, 2432, 666, 581, 5342, 547, 6218, 19341, 1646, 543, 2697, 4145, 269, 5900, 2056, 2638, 13522, 10607, 4620, 779, 8458, 540, 513, 3811, 6379, 563, 13010, 267, 891, 2638, 13522, 2709, 606, 4316, 547, 4309, 2556, 25750, 610, 5574, 269, 901, 2488, 4027, 1996, 1455, 3676, 1247, 4509, 519, 1072, 540, 1312, 3993, 543, 15556, 563, 309, 1115, 666, 1865, 1761, 4220, 2404, 609, 6379, 543, 1683, 5796, 593, 875, 547, 14867, 9636, 543, 2232, 1022, 8965, 2242, 563, 3528, 20319, 2834, 2638, 13522, 267, 4620, 5411, 1397, 7029, 547, 741, 4620, 779, 1072, 543, 8171, 269, 5213, 1406, 4413, 856, 593, 713, 4960, 547, 16102, 707, 4620, 269, 21480, 513, 3643, 609, 707, 16943, 1631, 2336, 12507, 13501, 519, 15529, 779, 1072, 543, 1134, 5630, 454, 2690, 513, 15529, 779, 1072, 543, 1134, 5630, 1282, 6379, 267, 6297, 5464, 568, 2877, 269, 7427, 891, 4808, 912, 268, 6423, 513, 17022, 4810, 538, 15529, 1416, 585, 2834, 2638, 13522, 563, 268, 9796, 2673, 3007, 547, 2732, 267, 547, 2327, 2556, 5567, 616, 3177, 547, 3993, 543, 20164, 563, 268, 18554, 2597, 547, 2327, 621, 13978, 2635, 563, 268, 27297, 1022, 2242, 538, 2623, 267, 971, 607, 8519, 2534, 610, 14031, 563, 268, 3629, 513, 694, 7672, 1858, 609, 21224, 2326, 585, 1200, 9566, 563, 268, 3687, 4476, 18063, 547, 1832, 6846, 2157, 1970, 267, 547, 2569, 2566, 563, 21652, 548, 609, 1416, 543, 2057, 21500, 269, 1280, 5796, 267, 5077, 513, 11967, 15529, 17022, 563, 763, 681, 23354, 293, 6941, 602, 4775, 17544, 666, 556, 25388, 321, 24201, 952, 789, 1745, 12219, 267, 865, 621, 568, 1898, 547, 723, 513, 12560, 1604, 563, 763, 2840, 2251, 1184, 454, 2414, 2327, 513, 5347, 2840, 2251, 1184, 585, 707, 9176, 17794, 3650, 15529, 267, 1174, 519, 4191, 540, 4074, 543, 1711, 513, 6899, 267, 2566, 6954, 1604, 269, 20876, 519, 4191, 540, 4074, 538, 513, 9176, 17794, 3650, 15529, 568, 2629, 267, 607, 621, 2636, 596, 547, 18783, 519, 4332, 269, 3958, 267, 3246, 513, 6899, 543, 2566, 6954, 2840, 2251, 1604, 10597, 519, 8458, 540, 513, 3811, 6765, 585, 707, 15529, 563, 29819, 540, 4074, 538, 513, 9176, 17794, 3650, 15529, 454, 2691, 513, 17794, 3650, 15529, 568, 24584, 267, 972, 616, 10881, 547, 4585, 585, 269, 901, 5267, 519, 4074, 568, 2673, 563, 268, 715, 20535, 281, 589, 9176, 15529, 949, 7485, 9663, 689, 1200, 1560, 547, 1711, 513, 6899, 9566, 585, 1200, 9002, 269, 901, 568, 513, 2067, 2623, 563, 268, 10163, 16531, 543, 3397, 2787, 281, 1306, 4074, 4485, 267, 519, 15529, 949, 1205, 1964, 1652, 543, 957, 989, 18469, 269, 2701, 949, 6467, 7158, 267, 2007, 538, 519, 9566, 267, 610, 10605, 1472, 1200, 26456, 269, 901, 666, 1397, 9636, 610, 27373, 563, 268, 13809, 540, 2561, 564, 924, 281, 1306, 4074, 683, 1513, 267, 519, 15529, 949, 6336, 1200, 14031, 269, 901, 4523, 1813, 547, 17441, 2242, 610, 2168, 8833, 563, 2467, 779, 811, 547, 2015, 950, 5464, 513, 9176, 17794, 3650, 15529, 269, 6875, 4063, 540, 2242, 538, 2623, 610, 5322, 269, 1452, 949, 2303, 519, 4332, 568, 4947, 4166, 563, 2414, 948, 1282, 4074, 912, 268, 12315, 1200, 513, 9602, 267, 2922, 2230, 281, 898, 779, 1898, 547, 1832, 1200, 9350, 1282, 713, 942, 269, 5269, 2386, 1352, 814, 513, 4357, 1747, 563, 268, 6744, 2837, 543, 11195, 2157, 281, 18323, 543, 11195, 1058, 581, 6099, 538, 519, 15529, 779, 1858, 269, 901, 666, 1118, 1200, 811, 6899, 563, 268, 13555, 513, 17022, 952, 2877, 281, 1403, 972, 616, 2152, 609, 4074, 267, 2911, 547, 513, 17022, 4810, 609, 15529, 1416, 563, 3528, 1739, 891, 4388, 267, 596, 666, 2285, 707, 9176, 17794, 3650, 15529, 519, 1655, 1416, 543, 1489, 2009, 563, 17809, 4575, 513, 6899, 543, 2566, 6954, 2840, 2251, 1604, 454, 290, 2761, 532, 513, 6899, 543, 2566, 6954, 2840, 2251, 2230, 568, 1898, 585, 513, 2318, 1995, 585, 1312, 544, 4821, 543, 4816, 269, 1677, 2569, 14221, 1145, 543, 1118, 4074, 23704, 267, 1683, 513, 6001, 514, 685, 5790, 269, 3371, 779, 875, 912, 268, 9941, 8654, 267, 22196, 2575, 543, 8799, 1085, 757, 563, 268, 1290, 325, 344, 10788, 3298, 267, 29198, 543, 23908, 21978, 11647, 563, 268, 631, 4821, 7959, 6462, 543, 23518, 609, 1200, 7649, 610, 6068, 3283, 1459, 563, 268, 7046, 2792, 1063, 2564, 5234, 543, 544, 4821, 267, 18245, 1200, 7375, 563, 31714, 685, 2115, 4268, 950, 621, 2501, 547, 2840, 2251, 1604, 282, 2766, 1681, 621, 547, 1142, 1268, 779, 16858, 666, 7494, 4324, 741, 8171, 1282, 713, 2027, 942, 563, 29222, 5517, 281, 589, 1353, 689, 634, 4750, 540, 3131, 514, 7614, 4065, 8761, 11215, 2840, 2251, 1604, 666, 1291, 547, 1447, 1928, 543, 10156, 4074, 563, 21982, 1416, 540, 519, 20169, 17794, 3650, 17544, 454, 2414, 2327, 519, 1697, 1416, 540, 20169, 17794, 3650, 17544, 267, 1491, 883, 2272, 741, 2115, 585, 14246, 543, 6484, 269, 3958, 267, 16345, 609, 519, 29507, 543, 14123, 23462, 1404, 4105, 5107, 538, 741, 1134, 5630, 563, 28444, 1005, 14246, 543, 1697, 6484, 454, 2690, 513, 4816, 17794, 3650, 15529, 779, 2635, 2208, 267, 621, 568, 1898, 547, 2285, 873, 1697, 14246, 543, 6484, 269, 3371, 616, 930, 1883, 2798, 547, 3314, 912, 268, 5901, 873, 3636, 609, 513, 3002, 17689, 610, 8022, 14950, 563, 268, 16376, 873, 18720, 267, 26005, 267, 543, 1507, 5666, 540, 4195, 1654, 326, 563, 268, 3550, 789, 723, 1569, 547, 1216, 693, 782, 2053, 563, 268, 3399, 609, 29656, 22872, 5388, 950, 10962, 4396, 1426, 563, 268, 19321, 513, 2834, 8023, 8430, 563, 268, 18554, 741, 2597, 543, 5077, 513, 17022, 952, 2877, 563, 3719, 267, 4816, 17794, 3650, 17544, 991, 1808, 1416, 269, 3371, 779, 1018, 547, 798, 912, 268, 3629, 25261, 9162, 585, 5959, 1072, 563, 268, 5269, 2386, 789, 723, 2230, 547, 3635, 563, 268, 7435, 548, 873, 609, 1416, 607, 789, 616, 10347, 563, 8855, 281, 1879, 10962, 1007, 3536, 267, 1039, 873, 7930, 547, 2057, 9667, 2042, 563, 294, 1836, 8482, 707, 20169, 17794, 3650, 17544, 547, 1711, 513, 2631, 540, 3354, 269, 901, 2168, 3346, 13976, 3972, 563, 291, 539, 6510, 2834, 942, 547, 2170, 609, 873, 3544, 741, 26456, 269, 901, 786, 12954, 741, 7279, 543, 5351, 538, 23462, 563, 25440, 609, 9162, 2966, 585, 1762, 17544, 269, 901, 1303, 1068, 1622, 873, 543, 3947, 873, 513, 4960, 547, 1451, 547, 2170, 609, 3615, 543, 824, 17544, 563, 12648, 942, 547, 1174, 1142, 15529, 779, 1367, 2115, 543, 7375, 269, 901, 5932, 513, 2178, 4276, 1063, 596, 543, 707, 17794, 3650, 17544, 563, 289, 1180, 532, 609, 17794, 3650, 17544, 568, 1898, 269, 1358, 666, 1831, 7874, 267, 8746, 543, 1134, 14194, 3286, 539, 15274, 269, 5213, 1406, 4413, 856, 593, 2870, 2027, 8823, 1107, 1376, 16345, 2221, 2336, 763, 17794, 3650, 15529, 814, 513, 32460, 1974, 540, 476, 4029, 268, 3451, 2395, 269, 634, 4775, 15529 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 519, 27069, 772, 2529, 269, 4793, 269, 3143, 269, 476, 274, 267, 26764, 267, 4200, 276, 563, 288, 9168, 4528, 540, 519, 838, 27468, 20808, 11460, 568, 11609, 538, 16658, 269, 476, 279, 290, 269, 769, 713, 4528, 519, 15645, 1807, 8546, 476, 6078, 263, 273, 264, 568, 19034, 609, 513, 2582, 561, 1872, 476, 10170, 263, 273, 264, 585, 1142, 540, 519, 838, 659, 619, 476, 2190, 269, 769, 1840, 547, 519, 7299, 18921, 476, 7761, 263, 273, 264, 519, 7542, 22364, 476, 7906, 263, 273, 264, 568, 4646, 609, 513, 2759, 719, 476, 10619, 14178, 689, 835, 2427, 540, 519, 18921, 585, 2502, 519, 561, 1872, 476, 10170, 263, 273, 264, 950, 519, 15645, 1807, 8546, 476, 6078, 263, 273, 264, 568, 29352, 547, 519, 838, 27468, 20808, 2990, 269, 634, 15645, 1807, 8546, 949, 581, 8704, 998, 519, 838, 659, 619, 543, 17477, 538, 922, 29352, 2990, 607, 4330, 23954, 29592, 563, 5194, 4528, 540, 513, 838, 27468, 20808, 11460, 568, 11609, 538, 16658, 306, 269, 476, 280, 288, 543, 476, 280, 289, 269, 901, 4528, 814, 519, 5413, 602, 1100, 14842, 540, 519, 7542, 22364, 476, 7906, 568, 2838, 269, 634, 15645, 1807, 8546, 476, 6078, 263, 274, 264, 568, 19034, 609, 5266, 2647, 543, 5266, 1279, 561, 13903, 476, 7761, 263, 274, 1070, 835, 585, 1142, 838, 27468, 476, 2190, 269, 634, 24293, 10155, 540, 519, 561, 13903, 476, 7761, 263, 274, 264, 568, 3908, 865, 602, 519, 561, 13903, 476, 7761, 263, 274, 264, 666, 1780, 998, 519, 3045, 983, 2230, 476, 4037, 1063, 519, 3544, 540, 519, 15645, 1807, 8546, 476, 6078, 263, 274, 264, 543, 519, 3330, 540, 519, 7542, 22364, 476, 7906, 269, 634, 15645, 1807, 8546, 476, 6078, 263, 274, 264, 568, 1287, 29352, 865, 602, 519, 561, 13903, 476, 7761, 263, 274, 264, 616, 538, 7299, 12972, 609, 19794, 13988, 5580, 543, 2539, 8424, 540, 519, 13515, 476, 7830, 630, 9188, 8282, 23954, 29592, 264, 17929, 30212, 3350, 540, 1142, 838, 27468, 476, 2190, 568, 3908, 547, 519, 7299, 19437, 1063, 519, 561, 1872, 476, 7761, 263, 274, 264, 543, 519, 5580, 543, 2539, 13515, 476, 7830, 563, 763, 15645, 1807, 8546, 476, 6078, 263, 274, 264, 666, 581, 17477, 538, 922, 29352, 2990, 676, 267, 585, 1383, 267, 513, 8032, 1439, 11690, 695, 1678, 607, 5941, 23954, 29592, 609, 4704, 547, 519, 838, 27468, 20808, 4528, 540, 16658, 306, 269, 476, 279, 288, 543, 476, 279, 289, 563, 1103, 606, 14595, 20032, 540, 519, 838, 27468, 540, 519, 8798, 267, 607, 11609, 676, 519, 1544, 543, 15038, 5784, 540, 513, 6292, 540, 11105, 7542, 337, 2737, 476, 7906, 263, 274, 264, 538, 16658, 306, 269, 476, 1015, 288, 543, 476, 1015, 289, 267, 519, 5580, 543, 2539, 1439, 13980, 476, 10602, 267, 476, 6507, 540, 519, 7542, 337, 2737, 616, 540, 3152, 29529, 3444, 3296, 7516, 630, 324, 3052, 269, 8006, 264, 982, 519, 2101, 1560, 6712, 476, 4281, 269, 901, 2488, 513, 2230, 610, 7934, 476, 8064, 1063, 11105, 7542, 337, 2737, 476, 7906, 263, 274, 264, 799, 2636, 930, 3579, 656, 10009, 585, 519, 3483, 540, 1167, 15758, 1835, 644, 19221, 1063, 519, 7542, 337, 2737, 563, 3849, 2779, 720, 3585, 267, 607, 3254, 538, 16658, 269, 476, 1015, 288, 267, 519, 32296, 13980, 476, 10037, 540, 519, 11105, 7542, 337, 2737, 476, 7906, 263, 274, 264, 1141, 789, 616, 8678, 267, 616, 24609, 539, 547, 1683, 513, 32296, 2627, 563, 1103, 519, 12589, 9323, 540, 519, 8798, 4330, 543, 11609, 3976, 2484, 267, 519, 7542, 337, 2737, 476, 7906, 267, 799, 1118, 909, 519, 838, 27468, 540, 519, 8798, 267, 616, 3254, 607, 2348, 513, 15186, 9764, 29529, 3444, 3296, 3337, 269, 1717, 267, 7542, 337, 2737, 540, 824, 3444, 3296, 5546, 616, 5078, 607, 1134, 269, 1280, 1383, 267, 7542, 337, 2737, 476, 7906, 263, 275, 264, 540, 12354, 21192, 3337, 267, 607, 11609, 538, 16658, 269, 476, 1556, 267, 666, 581, 1031, 563, 1103, 606, 1383, 1374, 540, 519, 838, 27468, 540, 519, 8798, 607, 11609, 538, 16658, 306, 269, 476, 273, 288, 267, 476, 273, 289, 267, 519, 838, 27468, 568, 827, 476, 276, 269, 1839, 6279, 630, 1724, 269, 274, 4699, 264, 4009, 269, 634, 7542, 337, 2737, 476, 7906, 543, 829, 13023, 1537, 6512, 476, 6872, 616, 827, 476, 272, 269, 273, 6279, 630, 274, 4699, 264, 1164, 543, 616, 4646, 540, 513, 1570, 540, 1970, 23377, 10338, 3444, 3296, 971, 607, 513, 1990, 597, 935, 1756, 18585, 267, 585, 1383, 267, 2098, 1844, 531, 1195, 268, 275, 269, 634, 7542, 337, 2737, 476, 7906, 616, 827, 476, 271, 269, 5038, 6279, 630, 1626, 269, 273, 6515, 264, 538, 3544, 8006, 609, 513, 3774, 11098, 540, 827, 476, 271, 269, 6349, 6279, 630, 271, 269, 276, 6515, 1916, 763, 5614, 476, 5038, 568, 4646, 540, 513, 1570, 2348, 5078, 4222, 267, 14809, 4187, 543, 6043, 4162, 971, 607, 513, 19695, 18585, 267, 585, 1383, 267, 769, 935, 601, 269, 634, 5614, 476, 5038, 568, 827, 476, 271, 269, 279, 6279, 630, 273, 4699, 264, 1164, 267, 827, 476, 271, 269, 272, 6279, 630, 273, 269, 276, 6515, 264, 2647, 543, 4646, 540, 513, 1570, 540, 827, 476, 271, 269, 23713, 6279, 630, 271, 269, 274, 6515, 264, 5394, 563, 13295, 1018, 814, 1044, 4330, 568, 513, 6046, 4492, 3693, 610, 11425, 838, 27468, 13296, 519, 2698, 2179, 540, 1570, 267, 519, 2179, 540, 1164, 23377, 3444, 3296, 1570, 267, 519, 15810, 1858, 540, 519, 838, 27468, 2497, 267, 543, 2242, 538, 3444, 3296, 1858, 540, 519, 838, 27468, 2497, 616, 31965, 547, 7413, 23377, 10338, 543, 3579, 656, 270, 7116, 518, 1807, 2095, 4187, 269, 634, 29005, 1071, 14765, 1441, 7542, 337, 2737, 1683, 513, 2497, 540, 9120, 4222, 17929, 519, 11098, 540, 1570, 689, 799, 789, 616, 4646, 666, 581, 4389, 269, 4746, 519, 838, 27468, 561, 1742, 3294, 547, 22237, 5478, 563, 18871, 1243, 30171, 1475, 293, 4979, 4266, 1475, 26397, 4266, 1475, 21104, 656, 1475, 17138, 2008, 347, 4785, 276, 3066, 278, 866, 2608, 1475, 11321, 476, 1626, 267, 476, 6245, 275, 1475, 22261, 476, 2767, 267, 476, 6245, 275, 1475, 289, 8291, 552, 2008, 347, 4785, 24374, 31982, 277, 2608, 1475, 15037, 476, 273, 267, 476, 3422, 271, 1475, 11321, 476, 1704, 267, 476, 3422, 275, 1475, 306, 10547, 2008, 347, 4785, 28760, 1220, 274, 2608, 1475, 14257, 476, 275, 267, 476, 3422, 271, 1475, 9802, 476, 275, 267, 476, 3422, 276, 1475, 310, 20535, 5264, 11272, 29651, 1475, 9288, 753, 585, 5885, 4492, 2609, 538, 513, 6046, 19720, 2008, 347, 4785, 29340, 14056, 272, 2608, 1475, 14257, 476, 2190, 267, 476, 3422, 278, 1475, 11321, 476, 275, 267, 476, 3422, 280, 1475, 288, 22855, 2806, 1475, 293, 3241, 10198, 585, 6046, 26119, 609, 4492, 22203, 17479, 676, 20950, 5645, 676, 513, 7470, 2008, 347, 4785, 4391, 277, 26482, 277, 2608, 1475, 11321, 476, 1839, 267, 476, 3192, 272, 1475, 12914, 476, 273, 267, 476, 3192, 274, 1475, 4263, 5669, 6052, 16958, 9487, 1475, 301, 13086, 19720, 4492, 3693, 10198, 2008, 347, 4785, 4343, 274, 31003, 272, 2608, 1475, 21801, 476, 2918, 267, 476, 3192, 273, 1475, 20225, 476, 274, 267, 476, 3192, 275, 1475, 4263, 5669, 6052, 16958, 9487, 1475, 301, 13086, 19720, 4492, 3693, 7470, 2008, 347, 4785, 4343, 279, 2568, 274, 279, 2608, 1475, 13202, 476, 1428, 267, 476, 3192, 274, 1475, 9802, 476, 2767, 267, 476, 3192, 276, 1475, 23873, 17437, 17540, 1564, 13456, 1475, 301, 13086, 19720, 4492, 3693, 32234, 2008, 347, 4785, 275, 1704, 4335, 275, 2608, 1475, 13971, 476, 3066, 267, 476, 3192, 278, 1475, 22261, 476, 736, 267, 476, 3192, 280, 1475, 763, 9040, 32024, 1299, 12070, 1723, 343, 7577, 1475, 293, 3241, 10198, 3391, 8546, 2008, 347, 4785, 32542, 4366, 279, 275, 2608, 1475, 9802, 476, 2641, 267, 476, 3192, 280, 1475, 15037, 476, 280, 267, 476, 2735, 273, 1475, 14197, 11272, 7577, 1475, 301, 13086, 4492, 10198, 2008, 347, 16412, 5038, 272, 4792, 279, 288, 2608, 1475, 17138, 711, 2139, 2008, 18871, 1746, 30171, 1475, 293, 4979, 4266, 1475, 26397, 4266, 1475, 21104, 656, 1475, 17138, 2008, 347, 4785, 4366, 277, 7176, 277, 276, 2608, 1475, 13356, 476, 273, 267, 476, 2735, 279, 1475, 20225, 476, 2918, 267, 476, 2735, 280, 1475, 14197, 11272, 7577, 1475, 19686, 540, 5663, 6046, 4492, 22753, 838, 659, 619, 2008, 347, 4785, 5392, 272, 24907, 278, 2608, 1475, 13356, 476, 273, 267, 476, 2735, 279, 1475, 14257, 476, 274, 267, 476, 1960, 271, 1475, 14197, 11272, 7577, 1475, 8505, 558, 730, 10198, 17102, 2008, 347, 4785, 2004, 277, 7176, 277, 275, 2608, 1475, 14257, 476, 1626, 267, 476, 1960, 271, 1475, 13356, 476, 274, 267, 476, 1960, 272, 1475, 14197, 11272, 7577, 1475, 301, 13086, 4492, 10198, 838, 27468, 543, 5614, 2008, 347, 4785, 276, 3607, 12553, 279, 2608, 1475, 13971, 476, 1626, 267, 476, 1960, 274, 1475, 22261, 476, 272, 267, 476, 1960, 275, 1475, 14197, 11272, 7577, 1475, 8967, 27468, 609, 7533, 1990, 1844, 531, 1195, 20950, 2008, 347, 4785, 276, 4391, 12293, 279, 2608, 1475, 13356, 476, 1691, 267, 476, 1960, 273, 1475, 13356, 476, 277, 267, 476, 1960, 275, 1475, 14197, 11272, 7577, 1475, 18933, 20071, 1826, 838, 27468, 585, 14495, 1216, 19720, 4492, 2008, 347, 4785, 276, 4366, 279, 5038, 275, 2608, 1475, 19878, 476, 1724, 267, 476, 1960, 275, 1475, 13202, 476, 1789, 267, 476, 1960, 277, 1475, 14197, 11272, 7577, 1475, 306, 7428, 32234, 585, 7755, 334, 1456, 6046, 4492, 11425, 5627, 7542, 337, 2737, 543, 513, 838, 27468, 4646, 540, 519, 5614, 32234, 543, 7542, 337, 2737, 2008, 347, 4785, 4649, 272, 9032, 275, 278, 2608, 1475, 12914, 476, 275, 267, 476, 1960, 275, 1475, 9802, 476, 2641, 267, 476, 1960, 277, 1475, 14197, 11272, 7577, 1475, 7343, 541, 9850, 543, 2409, 585, 5958, 908, 838, 659, 619, 585, 513, 6046, 4492, 11425, 22753, 2008, 347, 4785, 4649, 275, 5038, 274, 278, 2608, 1475, 13202, 476, 1556, 267, 476, 1960, 276, 1475, 13971, 476, 1724, 267, 476, 1960, 277, 1475, 14197, 11272, 7577, 1475, 8967, 27468, 585, 6046, 4492, 22203, 2008, 347, 4785, 4649, 277, 277, 2641, 278, 2608, 1475, 13202, 476, 1789, 267, 476, 1960, 276, 1475, 12914, 476, 1428, 267, 476, 1960, 277, 1475, 14197, 11272, 7577, 1475, 24965, 1027, 4463, 838, 27468, 585, 6046, 4492, 22203, 2008, 347, 4785, 6321, 272, 6021, 277, 271, 2608, 1475, 13971, 476, 2190, 267, 476, 1960, 276, 1475, 11321, 476, 1556, 267, 476, 1960, 278, 1475, 295, 527, 25764, 267, 13456, 13954, 293, 3241, 838, 27468, 543, 4492, 10198, 2008, 347, 4785, 6321, 278, 6321, 273, 272, 2608, 1475, 13971, 476, 1704, 267, 476, 1960, 276, 1475, 12914, 476, 278, 267, 476, 1960, 278, 1475, 14197, 11272, 7577, 1475, 24965, 1027, 4463, 6366, 5614, 838, 27468, 585, 6046, 4492, 22203, 2008, 347, 4785, 6812, 272, 4649, 275, 276, 2608, 1475, 15037, 476, 866, 267, 476, 1960, 278, 1475, 20225, 476, 3066, 267, 476, 1960, 279, 1475, 14197, 11272, 7577, 1475, 301, 13086, 4492, 10198, 838, 27468, 543, 5614, 2008, 347, 4785, 3445, 273, 27947, 272, 1475, 14257, 476, 1691, 267, 476, 1220, 279, 1475, 14257, 476, 2764, 267, 476, 1001, 276, 1475, 310, 20535, 5264, 11272, 7577, 24510, 322, 1475, 301, 13086, 4492, 10198, 609, 513, 9376, 23418, 677, 838, 27468, 7470, 2008, 347, 308, 2529, 269, 19032, 1475, 3066, 270, 4510, 277, 267, 476, 3066, 270, 30589, 269, 4905, 267, 476, 4391, 277, 270, 4510, 272, 267, 476, 7367, 270, 5780, 274, 267, 476, 9032, 277, 22230, 5456, 269, 10463, 2008, 347, 10870, 10869, 19032, 1475, 294, 2641, 290, 274, 270, 30306, 267, 962, 1015, 307, 3066, 270, 5392, 279, 8287, 267, 962, 6349, 292, 1789, 270, 2412, 267, 962, 1015, 307, 3066, 270, 275, 4200, 5325, 2008, 347, 21801, 476, 278, 267, 476, 2735, 280, 1475, 293, 5183, 312, 1475, 293, 2465, 8569, 2008, 17413, 540, 13927, 8569, 281, 476, 275, 454, 347, 21801, 476, 1691, 267, 476, 1960, 274, 1475, 293, 5183, 312, 1475, 293, 2465, 8569, 2008, 17413, 540, 13927, 8569, 281, 476, 279, 454, 16085, 788, 476, 1789, 267, 476, 1960, 278, 1475, 293, 5183, 312, 1475, 293, 2465, 8569, 2008, 17413, 540, 13927, 8569, 281, 476, 1321, 0, 19853, 2012, 568, 24190, 609, 13777, 850, 8942, 547, 5066, 1394, 2029, 9041, 543, 609, 535 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2353, 3436, 13028, 563, 8530, 1501, 707, 1433, 609, 645, 261, 301, 8191, 281, 8834, 1855, 531, 269, 1290, 6883, 609, 2296, 15144, 2036, 338, 630, 30679, 5230, 264, 4107, 540, 519, 4480, 543, 16166, 594, 6415, 1210, 2501, 689, 2542, 8834, 1855, 531, 781, 7435, 26741, 1260, 6883, 543, 1975, 15619, 734, 621, 781, 513, 2731, 5140, 1433, 593, 519, 1686, 543, 4480, 540, 2036, 532, 15144, 607, 1134, 607, 2553, 593, 18343, 513, 1412, 25152, 10782, 539, 262, 20612, 563, 14240, 689, 22816, 5406, 776, 267, 519, 1863, 8675, 269, 30180, 547, 12445, 30180, 547, 3406, 269, 2296, 476, 661, 22029, 1547, 15144, 1341, 2036, 532, 269, 715, 1735, 1547, 15144, 1260, 6883, 630, 684, 12248, 762, 1040, 634, 960, 540, 513, 15144, 1260, 828, 267, 2036, 532, 15144, 547, 771, 550, 4120, 621, 543, 2786, 523, 856, 519, 26939, 563, 309, 650, 720, 3778, 269, 634, 22810, 634, 8498, 540, 10965, 1901, 6763, 1614, 5195, 5045, 540, 16170, 1446, 543, 1614, 5195, 7178, 540, 519, 589, 272, 269, 589, 2146, 540, 930, 20339, 267, 621, 568, 4092, 1472, 519, 1279, 543, 7522, 8498, 3039, 543, 568, 14961, 8237, 676, 10965, 1901, 23894, 20136, 1433, 814, 1044, 11855, 676, 519, 1739, 12326, 269, 901, 1592, 568, 6383, 1759, 593, 1239, 3177, 676, 9061, 8269, 563, 295, 1446, 267, 15623, 8316, 9469, 267, 9400, 543, 19159, 267, 21965, 22210, 2917, 267, 6276, 267, 634, 3778, 540, 26741, 543, 26741, 1260, 6883, 630, 26780, 281, 6341, 12121, 8899, 267, 3057, 8725, 267, 590, 792, 548, 543, 681, 1516, 2023, 267, 3738, 290, 1243, 676, 281, 634, 3778, 2986, 26741, 1656, 26741, 1260, 6883, 563, 3528, 6276, 22210, 2917, 269, 8899, 543, 3213, 4700, 1765, 2304, 3504, 4123, 899, 15144, 568, 2386, 547, 723, 15832, 538, 930, 540, 922, 5933, 540, 2208, 267, 543, 6004, 563, 289, 1248, 2917, 814, 1500, 519, 1034, 540, 519, 31132, 543, 519, 18563, 799, 635, 563, 295, 4660, 320, 2528, 538, 26692, 454, 278, 4375, 9664, 271, 269, 10619, 15406, 280, 7830, 279, 20042, 26705, 281, 21768, 18510, 454, 13563, 543, 4914, 8988, 267, 7601, 11113, 267, 1199, 1023, 4429, 4198, 9664, 272, 269, 3393, 15406, 4375, 273, 280, 20042, 26705, 281, 21768, 18510, 454, 18128, 1828, 543, 2696, 267, 513, 3391, 547, 519, 7521, 563, 26727, 9664, 273, 269, 7367, 15406, 23714, 277, 20042, 26705, 281, 21768, 18510, 454, 289, 9560, 2762, 543, 4994, 540, 3345, 1977, 20569, 267, 12779, 26585, 267, 4620, 14347, 267, 543, 7777, 9609, 585, 519, 1032, 476, 6245, 277, 563, 278, 4510, 9664, 275, 269, 4097, 15406, 279, 3393, 275, 20042, 26705, 281, 21768, 18510, 454, 763, 6587, 540, 2648, 454, 277, 1428, 9664, 272, 269, 10844, 15406, 8660, 273, 277, 20042, 26705, 281, 21768, 18510, 454, 560, 520, 2373, 693, 1804, 267, 689, 13804, 320, 15873, 320, 267, 547, 519, 1439, 540, 519, 2063, 12057, 267, 476, 12293, 272, 267, 630, 11666, 4240, 547, 476, 5197, 271, 994, 4391, 278, 9664, 273, 269, 3583, 15406, 13670, 275, 20042, 26705, 281, 21768, 18510, 454, 295, 784, 15158, 538, 556, 26067, 656, 618, 454, 278, 2918, 9664, 272, 269, 2767, 15406, 29024, 278, 20042, 26705, 281, 21768, 18510, 454, 20969, 9664, 272, 269, 4037, 15406, 9083, 273, 20042, 26705, 281, 21768, 18510, 454, 305, 760, 4115, 10664, 6051, 538, 519, 19046, 543, 2011, 6420, 751, 874, 571, 10851, 540, 6778, 853, 269, 4477, 839, 267, 6115, 454, 277, 866, 9664, 272, 269, 2412, 15406, 280, 2190, 20042, 26705, 281, 21768, 18510, 454, 21574, 540, 25169, 1084, 1177, 6019, 454, 6858, 273, 9664, 275, 269, 4817, 15406, 14321, 278, 20042, 26705, 281, 21768, 18510, 454, 20663, 25226, 543, 2037, 26918, 10613, 454, 6924, 277, 9664, 273, 269, 9834, 15406, 32455, 277, 20042, 26705, 281, 21768, 18510, 454, 306, 1069, 976, 593, 1896, 5396, 454, 278, 5780, 9664, 272, 269, 10037, 15406, 4375, 276, 278, 20042, 26705, 281, 21768, 18510, 454, 11754, 19843, 693, 519, 11428, 540, 519, 15224, 25517, 547, 519, 3965, 540, 15623, 18897, 660, 517, 693, 8585, 3234, 871, 267, 715, 269, 670, 1421, 5181, 476, 3066, 267, 476, 6245, 273, 563, 3374, 279, 9664, 273, 269, 7871, 15406, 26764, 273, 20042, 26705, 281, 21768, 18510, 454, 2412, 278, 9664, 271, 269, 9834, 15406, 279, 4037, 280, 20042, 26705, 281, 21768, 18510, 454, 1220, 271, 7383, 543, 1401, 1636, 10369, 585, 570, 2355, 267, 595, 4169, 267, 543, 4406, 1407, 585, 623, 6346, 267, 570, 3471, 267, 543, 966, 1846, 538, 16266, 454, 27151, 9664, 273, 269, 4097, 15406, 5038, 278, 273, 20042, 26705, 281, 21768, 18510, 454, 276, 3451, 9664, 272, 269, 11463, 15406, 280, 1704, 279, 20042, 26705, 281, 21768, 18510, 454, 275, 1240, 9664, 271, 269, 4375, 15406, 277, 1321, 279, 20042, 26705, 281, 21768, 18510, 454, 763, 2470, 543, 5048, 540, 519, 6426, 454, 2004, 278, 9664, 272, 269, 3199, 15406, 6507, 273, 278, 20042, 26705, 281, 21768, 18510, 0, 309, 597, 6265, 807, 4659, 540, 13149, 3163, 454, 293, 8718, 625, 267, 5004, 267, 2806, 1495, 766, 267, 5164, 326, 2088, 454, 1607, 1788, 729, 6462, 676, 519, 9098, 13149, 8249, 8189, 267, 5741, 3143, 269, 674, 268, 10441, 7304, 268, 1321, 563, 293, 629, 10961, 1470, 267, 631, 269, 595, 1421, 1299, 570, 1075, 4486, 267, 570, 269, 667, 269, 630, 1220, 279, 264, 6480, 26305, 28731, 19565, 2806, 1495, 766, 540, 8278, 10999, 12830, 5685, 8127, 538, 519, 9098, 5800, 542, 540, 27991, 1901, 820, 7345, 269, 9098, 4659, 540, 13149, 3163, 267, 5261, 1299, 6307, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 27038, 10463, 18025, 277, 294, 312, 8566, 306, 4510, 0, 16775, 272, 7335, 24366, 11242, 454, 7659, 8609, 476, 272, 630, 21848, 476, 276, 268, 278, 994, 10267, 3150, 2389, 2880, 2238, 1331, 5544, 7308, 1673, 29924, 267, 13004, 13410, 267, 3406, 7146, 1922, 785, 267, 3872, 5013, 543, 7990, 532, 2987, 563, 763, 20550, 13239, 23618, 1161, 454, 3849, 1203, 24854, 2238, 1331, 513, 1187, 4212, 3620, 2863, 3014, 267, 1283, 959, 7927, 267, 513, 1249, 3758, 267, 2262, 796, 2675, 1090, 1076, 543, 606, 1349, 540, 519, 1433, 563, 763, 4144, 2456, 540, 28120, 779, 3004, 12069, 454, 18439, 594, 30955, 779, 21056, 267, 1187, 5013, 827, 519, 2749, 267, 513, 4786, 540, 1713, 4025, 543, 2347, 707, 1378, 2022, 15258, 563, 763, 11676, 321, 880, 2622, 540, 2507, 25272, 1975, 644, 2336, 29222, 2238, 1331, 513, 2262, 14142, 267, 1915, 5373, 543, 7990, 532, 2987, 563, 306, 3873, 684, 519, 2701, 788, 454, 22129, 2389, 1335, 539, 5373, 1187, 609, 32599, 684, 543, 13198, 6441, 320, 256, 0, 24202, 327, 746, 798, 262, 4305, 454, 1607, 3018, 267, 594, 9364, 899, 596, 547, 2626, 519, 2243, 2630, 912, 1432, 729, 621, 899, 585, 8695, 543, 6690, 538, 9147, 10255, 888, 2791, 991, 547, 1331, 10486, 543, 3604, 538, 1919, 789, 941, 4847, 610, 4397, 547, 798, 563, 1692, 596, 1459, 707, 2626, 568, 909, 547, 596, 563, 2791, 1522, 899, 547, 2328, 9433, 547, 2626, 267, 596, 1223, 2721, 5961, 543, 2328, 3061, 687, 547, 1397, 1018, 519, 8695, 543, 6690, 616, 3257, 267, 596, 1522, 1616, 547, 1459, 707, 960, 538, 513, 3349, 9236, 8695, 543, 6690, 269, 2107, 596, 1522, 723, 513, 1114, 2856, 2336, 763, 7270, 2630, 786, 948, 855, 5749, 1405, 519, 1152, 3283, 596, 666, 946, 256, 0, 2414, 1489, 596, 543, 707, 2069, 267, 7460, 3951, 568, 15268, 4294, 1565, 538, 12043, 3617, 547, 519, 11200, 532, 2518, 3510, 269, 2353, 623, 4811, 5049, 616, 1373, 9447, 538, 606, 2228, 3898, 8259, 596, 616, 711, 1881, 6382, 563, 306, 20980, 4683, 4058, 5051, 7569, 519, 5726, 540, 1648, 543, 13287, 540, 7791, 543, 4244, 1648, 3681, 585, 5656, 543, 5989, 269, 901, 1576, 14439, 1533, 540, 2259, 4441, 585, 1585, 1648, 3096, 267, 543, 2959, 267, 607, 1134, 607, 2994, 547, 2569, 1648, 4616, 543, 3790, 269, 1230, 14846, 543, 7791, 1648, 2959, 616, 5941, 269, 11150, 585, 1648, 5726, 267, 4492, 15175, 543, 4657, 547, 12809, 1949, 616, 8947, 269, 29007, 531, 2242, 607, 513, 5726, 4640, 616, 5189, 269, 634, 24117, 585, 4264, 1648, 2359, 1369, 4540, 5656, 568, 8268, 269, 20010, 1648, 1949, 602, 7413, 519, 946, 540, 2067, 2200, 786, 581, 6045, 1927, 609, 5817, 1514, 267, 2804, 543, 2825, 9270, 269, 634, 1576, 2488, 10083, 547, 519, 2956, 540, 1648, 5726, 543, 540, 9001, 5499, 1648, 5108, 3255, 585, 5656, 267, 5989, 1374, 543, 4238, 269, 634, 2956, 540, 19394, 8093, 4492, 1648, 2959, 543, 922, 1764, 593, 4485, 547, 2825, 4702, 2029, 3785, 786, 581, 4988, 563, 1607, 1576, 3884, 1405, 4867, 6035, 998, 7460, 3951, 3487, 6066, 5525, 269, 7490, 2638, 1394, 1985, 2165, 610, 24049, 547, 4309, 4757, 10311, 563, 26796, 3811, 12032, 540, 713, 1576, 267, 1053, 786, 581, 2111, 547, 912, 27855, 519, 2470, 540, 1648, 267, 922, 3029, 267, 12331, 540, 4483, 267, 543, 3156, 269, 10829, 1518, 519, 2078, 1063, 2409, 540, 6482, 267, 4559, 540, 1648, 267, 543, 1942, 563, 26368, 519, 6117, 2188, 543, 991, 585, 1648, 2359, 267, 1519, 8511, 3154, 543, 2011, 17694, 267, 3790, 267, 543, 5003, 656, 4313, 563, 18770, 11229, 585, 5499, 1648, 5108, 4066, 971, 607, 2842, 267, 2890, 31622, 549, 267, 14346, 267, 12809, 3859, 267, 13947, 267, 2520, 334, 7721, 4219, 267, 3653, 3562, 20589, 607, 1134, 607, 4244, 10173, 971, 607, 7250, 543, 6046, 563, 24066, 10663, 6932, 2994, 543, 4066, 538, 4264, 1648, 1949, 543, 7791, 1648, 3156, 585, 5656, 543, 2146, 5989, 563, 22860, 2763, 519, 2804, 267, 1514, 543, 2825, 3344, 540, 1114, 1648, 2959, 267, 1519, 8093, 10173, 563, 11073, 1467, 2152, 543, 3334, 540, 606, 4244, 1648, 1646, 1788, 563, 19931, 607, 540, 15604, 476, 1001, 273, 454, 292, 2894, 294, 476, 279, 2420, 271, 568, 6035, 607, 513, 851, 540, 519, 1739, 3292, 912, 19950, 539, 538, 1373, 711, 1881, 827, 2104, 17008, 540, 661, 2894, 294, 476, 279, 2420, 271, 910, 25043, 540, 12655, 6052, 888, 2252, 865, 267, 6445, 856, 519, 1344, 2630, 543, 649, 3513, 711, 1518, 596, 676, 4757, 950, 6030, 585, 1142, 1007, 2165, 616, 10268, 1934, 269, 0, 2026, 327, 5112, 1299, 3244, 12121, 910, 20348, 630, 2735, 275, 994, 22517, 690, 773, 568, 513, 16625, 267, 2220, 2426, 4063, 610, 695, 28984, 11733, 267, 834, 326, 549, 913, 257, 610, 4806, 1031, 538, 21462, 799, 729, 8385, 5129, 593, 519, 14440, 538, 1630, 690, 773, 2914, 334, 690, 773, 2575, 269, 634, 8984, 11733, 543, 1745, 540, 519, 1630, 690, 773, 729, 1287, 9862, 547, 13176, 267, 5595, 18369, 267, 543, 824, 7405, 269, 769, 519, 3735, 476, 2735, 271, 338, 543, 519, 2038, 476, 1960, 271, 338, 2197, 13164, 5950, 2197, 1630, 690, 625, 269, 4653, 267, 519, 2165, 834, 2692, 690, 773, 257, 2356, 4016, 547, 15472, 547, 1402, 267, 1167, 334, 267, 610, 4224, 2575, 269, 0, 2316, 10933, 18225, 779, 968, 10048, 2986, 634, 5729, 892, 15147, 12984, 23095, 2991, 1358, 674, 9229, 1677, 27254, 888, 12585, 281, 8176, 14811, 828, 724, 454, 763, 2245, 540, 10023, 513, 968, 10048, 540, 519, 5729, 892, 630, 577, 6548, 547, 968, 31094, 540, 519, 5729, 892, 538, 476, 1960, 280, 264, 3459, 693, 5384, 12139, 1394, 538, 476, 4572, 279, 630, 1492, 2856, 4947, 883, 1373, 538, 476, 4572, 278, 1040, 2755, 519, 2627, 1650, 3297, 519, 4183, 729, 3274, 602, 621, 729, 513, 1390, 1259, 547, 6133, 17476, 10223, 606, 12913, 543, 1164, 9043, 1268, 693, 519, 1439, 540, 1142, 1032, 267, 3297, 519, 10207, 519, 3375, 729, 5097, 9141, 676, 513, 7287, 547, 4688, 3068, 1310, 21107, 19849, 14536, 563, 763, 19849, 14536, 538, 2243, 729, 602, 540, 17528, 547, 4183, 1340, 539, 1285, 328, 1807, 8176, 14811, 828, 724, 593, 519, 3382, 1310, 1010, 8978, 1875, 17380, 1098, 268, 4263, 23007, 8184, 689, 1715, 3840, 4975, 547, 8303, 269, 1635, 8380, 1864, 593, 519, 3382, 543, 1818, 1864, 741, 1101, 2494, 540, 519, 5729, 267, 789, 711, 1152, 12286, 1864, 267, 855, 1705, 865, 538, 513, 1259, 602, 1500, 621, 2408, 607, 952, 789, 1185, 2760, 12628, 519, 3440, 267, 855, 9709, 593, 26621, 1864, 607, 2494, 540, 519, 5729, 782, 2059, 563, 32178, 29732, 2006, 12984, 519, 6755, 8745, 540, 6904, 8191, 888, 763, 11612, 4554, 24162, 532, 2622, 2782, 4083, 17912, 2986, 2353, 5384 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10528, 776, 3109, 9475, 521, 295, 16055, 493, 16483, 1055, 1775, 10528, 519, 6587, 1463, 1470, 10528, 269, 1703, 568, 513, 9028, 21227, 516, 1294, 10528, 522, 10528, 519, 6587, 2427, 540, 519, 3984, 14925, 602, 1522, 581, 519, 678, 21227, 10528, 12537, 1979, 10528, 776, 3109, 8559, 269, 8562, 21227, 332, 560, 320, 10528, 339, 658, 859, 728, 10528, 576, 585, 713, 568, 602, 972, 568, 10780, 334, 521, 580, 10528, 540, 513, 10528, 3742, 3109, 8559, 1121, 2967, 10528, 328, 10528, 326, 693, 519, 14925, 779, 4295, 269, 634, 10780, 2169, 1900, 568, 547, 798, 1246, 268, 21227, 335, 2616, 26559, 10528, 338, 609, 8331, 779, 6276, 30197, 6611, 23571, 513, 10528, 323, 519, 24755, 10528, 323, 571, 2473, 11920, 25076, 547, 1071, 10528, 325, 3305, 519, 3109, 8559, 1011, 320, 10528, 26559, 10528, 563, 22498, 779, 6543, 483, 335, 1260, 328, 10528, 326, 10878, 10528, 1097, 24553, 681, 5448, 10528, 6611, 23571, 786, 723, 513, 2647, 8584, 10528, 326, 548, 2070, 540, 519, 6543, 483, 10528, 5744, 609, 670, 21227, 321, 1076, 779, 608, 336, 21227, 15363, 5543, 21227, 339, 1470, 10528, 269, 1306, 513, 521, 21227, 337, 3272, 16263, 267, 519, 681, 5448, 10528, 2616, 26559, 10528, 338, 1522, 535, 328, 10528, 323, 811, 540, 891, 4686, 513, 10528, 323, 1561, 321, 762, 968, 28588, 1792, 6545, 892, 11992, 1775, 10528, 519, 6543, 483, 10528, 5744, 269, 901, 949, 556, 336, 21227, 790, 2577, 328, 10528, 324, 1059, 10528, 328, 10528, 326, 6543, 483, 19561, 10528, 326, 6620, 602, 616, 1360, 1434, 693, 535, 328, 10528, 10972, 10528, 326, 1808, 20868, 5546, 1775, 10528, 513, 4262, 540, 824, 4230, 549, 10528, 13929, 1239, 267, 11063, 328, 10528, 326, 547, 642, 320, 10528, 667, 758, 330, 21227, 332, 563, 763, 1382, 1957, 729, 533, 21227, 321, 2082, 522, 10528, 4989, 476, 277, 1775, 10528, 634, 8330, 5268, 9713, 11835, 21227, 337, 10528, 531, 16707, 563, 8269, 699, 10528, 576, 281, 968, 288, 6970, 10528, 323, 28371, 681, 21227, 10528, 12537, 590, 21227, 11279, 413, 368, 478, 1087, 633, 4563, 670, 1961, 8211, 10528, 339, 1881, 676, 1744, 4169, 513, 10528, 323, 10060, 14474, 1470, 10528, 1775, 10528, 922, 654, 820, 892, 676, 13100, 2678, 642, 320, 10528, 667, 758, 330, 21227, 332, 267, 1955, 611, 623, 26474, 267, 12756, 700, 21227, 13453, 645, 21227, 3960, 334, 267, 5153, 3873, 10528, 773, 5487, 300, 413, 368, 478, 1087, 320, 267, 2098, 8270, 2701, 10528, 267, 7812, 589, 269, 3223, 574, 267, 6890, 1729, 14062, 267, 24898, 3213, 10528, 5797, 267, 32599, 10528, 344, 20707, 10528, 1408, 328, 267, 18087, 21227, 560, 822, 14600, 571, 267, 667, 9820, 21227, 651, 18491, 2967, 267, 30410, 344, 600, 341, 3385, 14844, 541, 24652, 10528, 267, 589, 16619, 10528, 808, 269, 681, 5448, 10528, 3298, 5652, 267, 3400, 10528, 339, 7066, 3387, 26792, 267, 595, 269, 631, 9298, 10528, 7984, 787, 513, 10528, 323, 17793, 10528, 330, 595, 269, 642, 320, 10528, 632, 10528, 18548, 577, 267, 476, 277, 4989, 476, 1708, 274, 267, 634, 8330, 5268, 9713, 11835, 21227, 337, 10528, 531, 16707, 563, 763, 670, 21227, 321, 1076, 6611, 23571, 568, 513, 1788, 540, 1775, 10528, 614, 10528, 26559, 10528, 531, 24625, 26559, 10528, 914, 933, 324, 10528, 8331, 513, 10528, 323, 30673, 269, 8331, 779, 2696, 323, 731, 6611, 22947, 9919, 10528, 614, 1775, 10528, 3998, 10528, 321, 3881, 267, 6307, 5055, 10528, 323, 267, 12103, 10528, 1137, 519, 16263, 269, 634, 6611, 23571, 2480, 773, 10528, 576, 594, 10528, 338, 4344, 15403, 4344, 21227, 974, 630, 4306, 9928, 296, 264, 1775, 10528, 22768, 1071, 10528, 323, 21227, 551, 338, 670, 21227, 321, 1076, 1085, 773, 10528, 576, 1766, 26559, 10528, 338, 269, 590, 4811, 322, 296, 568, 13234, 585, 8331, 676, 519, 18841, 368, 478, 1087, 1539, 26559, 10528, 540, 772, 10528, 1392, 885, 585, 3194, 1775, 10528, 8330, 549, 10528, 3912, 267, 1775, 10528, 654, 20076, 10528, 326, 1729, 10528, 267, 667, 5861, 269, 0, 1607, 5098, 11643, 538, 6596, 2329, 585, 519, 4110, 540, 9457, 540, 20963, 8551, 693, 23171, 2160, 3427, 540, 519, 20963, 8551, 476, 4198, 273, 676, 22374, 1530, 26293, 594, 1407, 454, 763, 3668, 540, 1808, 4704, 1570, 8720, 519, 1641, 540, 713, 1957, 814, 1500, 2556, 519, 10014, 540, 5618, 4998, 16479, 10080, 540, 519, 1079, 7700, 2188, 267, 6189, 543, 4484, 1374, 269, 634, 796, 2305, 540, 519, 1079, 814, 267, 4061, 267, 2838, 811, 17429, 794, 982, 12319, 563, 763, 2165, 968, 31342, 5463, 3547, 5608, 22666, 689, 11066, 631, 636, 5112, 267, 4016, 547, 519, 13977, 4458, 1974, 538, 3013, 689, 476, 5908, 276, 547, 476, 6245, 276, 2443, 513, 1974, 540, 5812, 771, 29774, 538, 519, 6575, 563, 9558, 819, 531, 5712, 616, 1950, 269, 667, 1853, 7217, 12535, 540, 2093, 29307, 689, 519, 30477, 1674, 540, 513, 19618, 2528, 616, 2352, 547, 10250, 269, 634, 16972, 10182, 4724, 519, 4999, 540, 6189, 543, 4484, 3029, 729, 3833, 2189, 538, 1686, 543, 519, 2164, 267, 1498, 24526, 538, 930, 2665, 267, 543, 3368, 1434, 538, 1034, 2665, 267, 941, 4956, 569, 1098, 7480, 563, 763, 1713, 1249, 540, 519, 5912, 1974, 729, 519, 968, 309, 1112, 20187, 3281, 668, 1047, 892, 540, 519, 6575, 269, 901, 14207, 10416, 27648, 513, 6498, 540, 4074, 267, 22666, 689, 2257, 543, 2872, 281, 519, 4056, 729, 32682, 1027, 689, 519, 11653, 282, 519, 1462, 19212, 689, 519, 17002, 282, 519, 7376, 689, 519, 1148, 16388, 269, 901, 14207, 3361, 519, 11821, 543, 22522, 2783, 540, 11265, 4484, 532, 1282, 519, 9466, 5463, 3547, 538, 3013, 563, 763, 579, 6921, 1465, 2813, 676, 4853, 1143, 543, 5010, 1143, 538, 922, 2038, 5933, 540, 29252, 2208, 21087, 1242, 519, 3308, 543, 7214, 2283, 4850, 540, 519, 7376, 269, 634, 11509, 10564, 2746, 539, 676, 2870, 5898, 538, 519, 1106, 540, 519, 10120, 26427, 267, 519, 32201, 5259, 543, 519, 12484, 6681, 4936, 267, 543, 1279, 539, 585, 519, 6617, 543, 1931, 540, 519, 4529, 602, 3812, 891, 9006, 23306, 18563, 269, 2677, 335, 1515, 532, 540, 1010, 2540, 267, 519, 7376, 5828, 547, 519, 2250, 563, 1607, 729, 513, 1974, 538, 799, 519, 4853, 1235, 267, 1582, 13402, 2367, 585, 519, 1034, 851, 267, 2746, 539, 609, 1997, 1049, 7355, 4724, 519, 6575, 269, 1358, 4607, 1100, 2866, 538, 519, 3308, 7355, 602, 31411, 519, 4056, 269, 4634, 519, 4056, 267, 607, 519, 1974, 27636, 267, 14460, 3308, 12716, 585, 3140, 1382, 2443, 513, 1382, 1500, 2653, 676, 22733, 2540, 11008, 9088, 945, 968, 17495, 8268, 585, 1187, 1978, 856, 540, 519, 1259, 11265, 18986, 1682, 1848, 272, 454, 763, 7376, 968, 323, 573, 711, 1294, 602, 519, 4853, 4838, 267, 1247, 21006, 606, 7608, 1931, 543, 606, 7608, 3044, 540, 5898, 267, 2813, 3255, 585, 513, 1007, 2186, 540, 5898, 543, 1931, 1848, 273, 1261, 1705, 711, 1451, 519, 3992, 540, 519, 32423, 20066, 563, 763, 1401, 22128, 540, 476, 6977, 272, 538, 4789, 3177, 5140, 13513, 585, 519, 968, 309, 1112, 20187, 3281, 668, 1047, 892, 538, 519, 6575, 269, 14529, 868, 517, 779, 6198, 4837, 543, 4401, 2497, 630, 14808, 269, 476, 272, 264, 3576, 5413, 540, 519, 4853, 7399, 538, 2679, 2553, 267, 1498, 15570, 7219, 267, 519, 8375, 11265, 10404, 6444, 519, 19289, 607, 606, 4702, 9028, 968, 3286, 865, 1279, 607, 789, 1500, 1100, 3801, 31049, 547, 4283, 519, 10723, 7706, 540, 2048, 19425, 3538, 675, 685, 1848, 274, 7201, 713, 15999, 2497, 729, 24428, 519, 4102, 31174, 720, 540, 1490, 17026, 720, 332, 3649, 637, 538, 519, 1686, 540, 1148, 2443, 782, 540, 621, 8915, 532, 16431, 540, 835, 4990, 610, 1776, 998, 2150, 583, 1819, 12496, 540, 519, 4860, 2526, 1235, 269, 898, 6719, 519, 6492, 540, 519, 13473, 269, 898, 6719, 519, 2707, 540, 513, 1158, 17253, 3310, 538, 782, 4610, 540, 519, 2101, 543, 5634, 6575, 267, 543, 729, 4166, 547, 581, 12842, 676, 1977, 16919, 269, 634, 1390, 5373, 1379, 540, 519, 8858, 602, 13631, 936, 3670, 2929, 1004, 689, 782, 2694, 540, 519, 1158, 729, 519, 4571, 10601, 968, 628, 1009, 585, 1344, 267, 5132, 538, 16450, 543, 2872, 267, 6427, 4369, 543, 2930, 29412, 267, 1648, 543, 4557, 13369, 267, 543, 513, 12402, 547, 3575, 909, 4984, 609, 7298, 1967, 2507, 892, 275, 634, 2101, 1374, 9259, 540, 519, 8858, 8678, 5667, 15384, 26476, 1176, 1079, 25710, 16375, 2093, 281, 519, 11191, 540, 1974, 15022, 3512, 609, 3684, 2645, 282, 513, 5939, 5496, 1500, 676, 16888, 779, 30171, 2961, 1324, 10724, 282, 8751, 9469, 685, 25798, 4401, 5127, 560, 1737, 269, 3502, 9301, 519, 3684, 607, 14529, 868, 517, 1705, 538, 519, 32423, 20066, 2497, 267, 519, 29048, 6836, 547, 17854, 621, 547, 519, 12257, 540, 519, 2565, 3401, 269, 1358, 24320, 2213, 519, 6191, 2933, 538, 1974, 28076, 630, 14808, 269, 476, 273, 1916, 763, 4056, 568, 8200, 593, 2486, 282, 646, 3112, 11851, 1010, 21184, 538, 519, 1151, 3363, 540, 519, 1140, 545, 899, 519, 18048, 543, 10564, 269, 634, 2604, 593, 519, 4056, 540, 519, 9466, 5463, 3547, 267, 1813, 547, 1010, 1378, 5079, 543, 8456, 267, 18796, 513, 3099, 540, 3140, 6163, 267, 968, 20357, 1997, 1049, 2418, 941, 519, 1152, 2418, 538, 6189, 3015, 547, 519, 1007, 15194, 1362, 1848, 276, 4014, 519, 7817, 540, 519, 4056, 1223, 711, 4019, 12716, 7355, 547, 20827, 2679, 267, 646, 1223, 3362, 2638, 519, 3140, 3169, 3363, 269, 4935, 267, 589, 269, 654, 269, 623, 1872, 514, 543, 1010, 13794, 6594, 543, 13006, 519, 10120, 3889, 267, 543, 15570, 7219, 267, 538, 1010, 18599, 700, 10102, 540, 15339, 267, 20582, 543, 13006, 741, 16431, 281, 968, 3891, 5418, 12184, 585, 519, 8471, 10343, 540, 835, 2511, 607, 519, 1152, 16185, 1996, 519, 26093, 2783, 540, 598, 2389, 3637, 6189, 267, 543, 3773, 602, 713, 24080, 7608, 2511, 1058, 711, 581, 1007, 269, 2048, 763, 3029, 540, 6189, 2907, 1634, 547, 721, 616, 1434, 2614, 585, 721, 10200, 7536, 17798, 267, 676, 519, 4571, 5991, 12078, 2540, 513, 21318, 540, 18935, 3359, 7902, 593, 519, 11265, 6429, 281, 18190, 267, 20096, 267, 7969, 622, 267, 6196, 2296, 267, 570, 31122, 267, 3943, 11193, 267, 10469, 564, 1014, 11193, 267, 3092, 269, 634, 6163, 3357, 543, 4682, 543, 3357, 269, 4014, 623, 1872, 514, 1226, 730, 519, 20096, 609, 8567, 543, 26069, 267, 6189, 8399, 539, 2687, 547, 519, 6492, 540, 519, 7817, 269, 769, 10220, 609, 519, 968, 309, 1112, 20187, 3281, 668, 1047, 5608, 968, 19425, 3538, 338, 19927, 538, 519, 13646, 540, 4587, 16413, 543, 538, 3506, 540, 6189, 16634, 19296, 941, 8036, 538, 2027, 6280, 31399, 625, 610, 2027, 2930, 9945, 1848, 278, 454, 763, 6498, 540, 4074, 538, 4484, 532, 543, 8228, 1185, 2147, 2609, 540, 519, 1997, 1049, 2418, 269, 769, 1010, 26832, 3794, 27443, 540, 8278, 27036, 20292, 2107, 24842, 267, 623, 1872, 514, 4843, 8747, 540, 1079, 1114, 20096, 26897, 630, 325, 12127, 269, 476, 274, 1299, 476, 1691, 264, 799, 3177, 519, 4493, 585, 513, 1153, 540, 32514, 2209, 968, 15367, 9783, 513, 2898, 3126, 540, 2835, 21243, 609, 10665, 543, 9910, 2137, 538, 32649, 540, 519, 960, 540, 519, 2185, 18818, 543, 6957, 18818, 5553, 1848, 279, 634, 27865, 3415, 543, 1256, 1145, 540, 519, 26897, 540, 454, 303, 1872, 514, 543, 1010, 13794, 26218, 782, 519, 25525, 540, 519, 6074, 30384, 269, 32139, 13643, 685, 4484, 1374, 585, 519, 14576, 540, 21125, 729, 711, 1152, 12045, 267, 855, 13902, 569, 796, 1348, 762, 269, 634, 2470, 540, 1367, 5022, 729, 4503, 7357, 563, 6524, 476, 7277, 278, 267, 1152, 835, 20096, 4484, 1106, 630, 553, 728, 689, 519, 5432, 22733, 2540, 3109, 4484, 267, 971, 607, 6970, 868, 517, 3109, 267, 799, 4797, 538, 946, 998, 13524, 2540, 8228, 264, 1185, 1336, 922, 1259, 883, 19494, 2835, 543, 8261, 338, 269, 17652, 1310, 519, 8313, 540, 623, 1872, 514, 779, 26897, 538, 519, 3794, 27443, 540, 8278, 27036, 20292, 2107, 24842, 538, 476, 7277, 275, 543, 519, 2442, 1436, 540, 621, 676, 32139, 13643, 543, 1866, 267, 3875, 20096, 3029, 941, 547, 581, 1336, 538, 519, 19494, 2835, 281, 3109, 28608, 267, 476, 7277, 274, 282, 2494, 11245, 267, 476, 7277, 278, 282, 570, 644, 2803, 4302, 267, 476, 7277, 278, 282, 17454, 29509, 630, 30812, 10234, 6196, 2296, 1070, 476, 7277, 278, 282, 10906, 534 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 314, 1607, 3296, 6799, 267, 609, 10479, 267, 513, 1867, 689, 519, 6820, 7486, 10644, 11554, 6828, 630, 303, 310, 294, 1040, 634, 11554, 6828, 568, 606, 3486, 8470, 540, 936, 15823, 3056, 1857, 1072, 4966, 267, 19353, 267, 24118, 543, 8965, 3173, 267, 15156, 267, 543, 1004, 4299, 676, 7486, 25266, 602, 729, 7036, 539, 676, 519, 9291, 543, 9253, 25475, 27176, 7690, 543, 519, 8361, 808, 269, 918, 9820, 518, 7731, 7690, 563, 763, 3804, 540, 623, 310, 294, 568, 547, 1217, 2518, 13422, 1136, 267, 1982, 4058, 267, 543, 20033, 3664, 593, 7486, 6604, 269, 634, 11554, 6828, 2152, 13350, 5359, 543, 1249, 9212, 593, 1883, 2152, 538, 7486, 6604, 2257, 543, 3609, 282, 1568, 547, 1628, 13618, 593, 2963, 2861, 7486, 6604, 5752, 282, 15156, 585, 513, 3102, 3210, 547, 7486, 25266, 602, 26779, 6604, 267, 2126, 267, 543, 1416, 282, 543, 2488, 1344, 543, 5583, 547, 22881, 267, 2923, 267, 543, 3609, 15670, 269, 11554, 6828, 12326, 616, 2139, 693, 8940, 269, 17471, 295, 4353, 7093, 3685, 3820, 24358, 6826, 24173, 7486, 6604, 3292, 602, 3077, 2043, 267, 3885, 267, 2950, 267, 3003, 7239, 267, 610, 513, 4999, 540, 782, 891, 723, 1044, 3254, 547, 3648, 2569, 519, 2557, 540, 1007, 7486, 5563, 269, 10644, 3292, 1628, 519, 1983, 2877, 547, 946, 6604, 2645, 5265, 543, 267, 547, 519, 6708, 15164, 267, 547, 2057, 610, 3927, 21907, 19408, 3871, 269, 18831, 538, 3309, 4525, 543, 540, 1114, 4747, 2157, 723, 3648, 22485, 519, 2557, 540, 1007, 7486, 5563, 24568, 782, 971, 2665, 267, 15028, 4093, 941, 519, 1267, 540, 2101, 10593, 538, 1480, 2623, 630, 17471, 7486, 10644, 11554, 6828, 267, 476, 1220, 279, 1916, 6826, 24173, 7486, 6604, 3292, 1522, 1331, 1463, 7459, 602, 6338, 6604, 2645, 883, 1880, 5054, 269, 1280, 1383, 912, 5715, 1311, 1514, 610, 7293, 7459, 666, 2087, 2949, 4027, 676, 5009, 1480, 2924, 267, 4227, 4747, 8635, 267, 543, 5466, 4008, 31716, 563, 295, 4353, 6604, 568, 835, 540, 519, 1158, 779, 1034, 1271, 14422, 543, 2623, 1689, 3788, 519, 6117, 3196, 585, 3084, 1967, 1996, 7486, 269, 898, 568, 2312, 602, 607, 519, 7486, 15435, 5170, 547, 4228, 2126, 4805, 786, 711, 9258, 519, 11841, 540, 1007, 5563, 269, 1280, 1383, 267, 538, 1016, 25781, 4000, 267, 1141, 519, 7486, 11411, 568, 3389, 5006, 267, 3292, 2519, 593, 1367, 1981, 2623, 616, 12691, 593, 741, 1378, 547, 3035, 519, 1377, 540, 1967, 2877, 547, 9258, 519, 15435, 269, 769, 1034, 2477, 6604, 3646, 1058, 1445, 593, 5095, 693, 5207, 1981, 540, 3968, 630, 5443, 945, 723, 3023, 609, 2367, 267, 3023, 4600, 267, 13297, 3075, 3755, 267, 14586, 267, 5985, 5095, 267, 543, 824, 7925, 2516, 4700, 630, 303, 310, 294, 267, 476, 1220, 279, 1916, 314, 4322, 1806, 616, 689, 623, 310, 294, 267, 476, 1220, 279, 24358, 1103, 519, 2038, 476, 2735, 271, 338, 5245, 15841, 513, 3084, 15978, 3210, 602, 3769, 3376, 1857, 18221, 11044, 267, 1808, 8965, 7459, 585, 14447, 2367, 267, 1857, 5498, 2758, 1489, 585, 13549, 543, 861, 16206, 5385, 267, 543, 17319, 7486, 13508, 543, 4152, 269, 667, 1090, 1738, 23229, 538, 796, 31695, 1387, 26697, 543, 519, 4687, 540, 19271, 585, 3075, 946, 941, 6592, 563, 2026, 513, 1267, 540, 5245, 779, 2038, 267, 3102, 3210, 267, 5059, 7361, 593, 2623, 1689, 267, 5993, 7486, 11841, 8445, 539, 538, 476, 2735, 276, 543, 17379, 998, 519, 1439, 540, 519, 476, 1960, 271, 338, 269, 9737, 476, 1960, 271, 543, 476, 1220, 271, 267, 519, 5993, 1297, 540, 1007, 7486, 21904, 8593, 676, 3368, 563, 24154, 7588, 814, 9415, 1930, 4901, 540, 7486, 267, 5885, 18367, 1857, 18221, 11044, 267, 598, 3256, 13319, 267, 5059, 8965, 7459, 267, 861, 16206, 543, 13549, 5385, 267, 1153, 2861, 7486, 2069, 267, 6604, 2533, 538, 30813, 267, 543, 17319, 7486, 13508, 543, 4152, 269, 23883, 29810, 568, 8478, 779, 1967, 538, 10941, 532, 513, 3978, 15435, 1851, 13297, 3075, 3755, 269, 9473, 558, 946, 2799, 676, 3592, 476, 2004, 2600, 1851, 16770, 3742, 4079, 1063, 476, 1960, 279, 543, 476, 1220, 276, 267, 543, 5059, 2623, 1689, 6604, 3292, 849, 9738, 7486, 9860, 693, 1970, 2157, 1851, 3023, 4600, 269, 4014, 519, 2622, 7813, 1185, 10567, 538, 476, 1960, 271, 602, 476, 272, 269, 273, 2929, 8478, 2103, 1131, 581, 7783, 676, 476, 1220, 271, 267, 7864, 982, 476, 7785, 267, 1822, 941, 2713, 609, 7486, 538, 476, 1220, 273, 563, 1103, 3210, 547, 606, 2333, 538, 5563, 538, 519, 3735, 476, 2735, 271, 338, 267, 17289, 15748, 606, 5499, 3084, 1982, 602, 814, 6039, 607, 513, 2203, 585, 824, 2477, 269, 634, 2197, 779, 476, 1911, 2600, 598, 3256, 268, 639, 720, 1982, 15469, 598, 3256, 946, 538, 2156, 1492, 3149, 543, 3084, 3401, 9415, 4901, 540, 519, 7486, 3463, 543, 519, 4023, 2126, 540, 1346, 945, 941, 7783, 563, 25486, 783, 7486, 11841, 17379, 689, 476, 16960, 267, 1822, 538, 476, 1960, 272, 547, 476, 866, 267, 1822, 538, 476, 1220, 274, 267, 4543, 9258, 1018, 729, 2899, 835, 540, 519, 1158, 779, 16595, 21212, 8623, 12515, 269, 16874, 17289, 711, 4547, 3102, 7486, 6604, 547, 4336, 267, 621, 1131, 1631, 723, 476, 278, 269, 278, 2929, 7486, 5563, 267, 2864, 982, 519, 6059, 476, 276, 3199, 267, 1822, 7264, 4867, 2713, 609, 7486, 563, 308, 326, 7701, 6410, 538, 519, 4571, 268, 2735, 271, 338, 547, 2232, 519, 4028, 3262, 540, 7486, 267, 7598, 1857, 18221, 11044, 602, 9415, 1762, 1004, 547, 8488, 22612, 540, 3023, 543, 24016, 16770, 3742, 4079, 547, 2569, 519, 1297, 540, 3023, 4891, 269, 769, 519, 476, 1960, 271, 338, 267, 519, 2197, 29979, 891, 2038, 3800, 609, 598, 3256, 13319, 543, 3292, 585, 17319, 13508, 543, 4152, 563, 763, 2164, 540, 891, 3646, 941, 7415, 269, 634, 6871, 540, 1762, 1004, 945, 941, 16770, 3742, 8593, 676, 811, 982, 3368, 1063, 476, 2735, 280, 543, 476, 1960, 276, 267, 543, 21051, 663, 753, 941, 3648, 1447, 2693, 547, 723, 2789, 3023, 4891, 982, 1004, 2713, 538, 15231, 2477, 269, 9214, 1162, 538, 598, 3256, 946, 538, 519, 476, 1960, 271, 338, 5280, 8190, 543, 17108, 2038, 6604, 12374, 269, 1635, 519, 3735, 476, 1960, 271, 338, 267, 3968, 2157, 538, 3854, 2749, 918, 2086, 8403, 1185, 15468, 676, 1079, 22188, 267, 543, 3084, 7486, 9860, 1185, 1044, 2759, 538, 3368, 563, 1103, 476, 1001, 271, 519, 6820, 7486, 10644, 11554, 6828, 9783, 513, 1867, 602, 8612, 602, 4352, 1390, 26058, 723, 1044, 1500, 609, 1884, 790, 339, 22201, 12637, 2126, 267, 519, 1158, 568, 4867, 3257, 513, 4057, 2816, 540, 7598, 3280, 267, 2963, 2861, 267, 1134, 13807, 10165, 7486, 6604, 3292, 630, 303, 310, 294, 267, 476, 1001, 271, 1040, 15788, 4681, 5815, 912, 763, 623, 310, 294, 1867, 6212, 4481, 593, 8965, 7486, 6604, 269, 634, 1867, 12220, 1018, 649, 917, 827, 519, 7145, 540, 2623, 1689, 2994, 267, 1018, 649, 1869, 991, 547, 1451, 267, 543, 1018, 649, 991, 547, 798, 547, 4434, 971, 3646, 538, 4947, 1296, 563, 13146, 2164, 689, 4791, 8062, 540, 1761, 1007, 7486, 6604, 7459, 20838, 1018, 649, 723, 1634, 585, 5756, 281, 654, 3187, 6765, 540, 2500, 2623, 1689, 2994, 568, 3844, 547, 10941, 532, 519, 2518, 7486, 15435, 269, 634, 8244, 540, 1007, 24118, 7486, 6604, 23857, 267, 971, 607, 10074, 543, 8762, 15969, 267, 568, 1869, 1082, 1296, 2476, 269, 4634, 950, 891, 2645, 6368, 10836, 267, 1480, 2623, 786, 2611, 2565, 267, 607, 1007, 6604, 2994, 616, 12691, 547, 581, 476, 1911, 260, 2500, 538, 7303, 6771, 563, 4415, 476, 273, 269, 276, 2929, 1007, 7486, 5563, 538, 476, 1220, 278, 267, 972, 568, 606, 6654, 543, 14849, 991, 547, 11654, 519, 2500, 2994, 649, 723, 547, 3895, 10930, 5615, 269, 5274, 2623, 568, 1950, 282, 7839, 2623, 2242, 616, 4101, 547, 3035, 282, 543, 972, 616, 1271, 10616, 538, 938, 1702, 827, 519, 7145, 540, 7486, 6604, 269, 8616, 519, 1382, 547, 4266, 5693, 6054, 519, 1764, 540, 3875, 8965, 7459, 538, 4227, 7486, 3968, 269, 1284, 849, 917, 602, 538, 782, 2665, 538, 799, 3084, 7486, 8623, 12515, 723, 20328, 267, 3376, 2861, 2623, 2242, 941, 3844, 547, 1967, 563, 2414, 581, 811, 2500, 538, 519, 8938, 23867, 2540, 267, 519, 7486, 6604, 4674, 1590, 13720, 1896, 2591, 540, 8226, 912, 305, 24655, 1242, 6417, 8062, 543, 22423, 1382, 723, 3254, 602, 1367, 267, 1507, 1895, 267, 543, 2146, 7400, 7459, 666, 5352, 10930, 5615, 269, 8478, 729, 2523, 2500, 538, 4227, 4397, 3968, 3466, 998, 6604, 3646, 563, 10932, 814, 5280, 547, 2697, 1455, 2609, 538, 3811, 3292, 269, 4340, 547, 519, 2139, 2963, 689, 891, 543, 824, 2090, 267, 2500, 2994, 11654, 513, 4999, 540, 2623, 1689, 4485, 602, 616, 9447, 609, 6190, 3795, 267, 8515, 267, 543, 8653, 267, 543, 602, 616, 3358, 547, 2232, 519, 1292, 10256, 540, 7486, 6771, 538, 3084, 8623, 12515, 269, 13229, 7486, 6604, 9607, 519, 1808, 2115, 543, 6381, 540, 519, 3077, 2551, 543, 6663, 547, 1860, 2789, 21876, 540, 1480, 2623, 267, 1519, 1367, 1702, 543, 18144, 267, 14375, 3347, 267, 543, 6848, 8155, 269, 7991, 6278, 543, 2178, 2797, 1489, 723, 1044, 1883, 5820, 540, 3811, 3084, 3646, 547, 1689, 2623, 547, 2061, 7486, 3968, 563, 7212, 1454, 2963, 6818, 547, 6542, 602, 621, 568, 2009, 547, 1689, 1480, 2623, 547, 2569, 519, 1981, 540, 7486, 6771, 267, 972, 616, 1271, 10616, 543, 7687, 538, 1018, 568, 1634, 269, 1703, 568, 849, 606, 7915, 4161, 538, 7893, 519, 1764, 540, 1022, 1072, 4674, 602, 2882, 7486, 6604, 281, 7893, 543, 8159, 1757, 1275, 585, 606, 2680, 602, 1705, 711, 2049, 630, 1721, 1383, 267, 606, 7486, 3968, 19011, 1540, 264, 568, 11371, 1231, 1227, 811, 7294, 982, 10442, 606, 2680, 610, 7613, 602, 1705, 4755, 563, 2304, 1271, 4161, 585, 1312, 24118, 543, 8965, 7459, 6013, 538, 875, 547, 2490, 1967, 538, 4791, 8062, 883, 519, 1482, 2186, 540, 1967, 538, 1483, 8996, 3871, 543, 689, 972, 883, 782, 519, 1082, 1016, 25364, 540, 519, 1483, 1158, 269, 589, 2034, 4161, 6013, 538, 4466, 2081, 547, 2226, 1279, 3856, 2623, 1689, 563, 21953, 513, 3791, 4161, 6013, 538, 938, 1174, 540, 1480, 2623, 543, 1367, 18144, 269, 7486, 6604, 3646, 1590, 1491, 883, 2272, 519, 4641, 602, 1367, 2123, 8116, 538, 3664, 1472, 7486, 568, 1419, 8185, 6766, 676, 6626, 14227, 267, 2686, 267, 543, 2825, 2188, 269, 1656, 6368, 267, 519, 2175, 538, 799, 2090, 616, 17298, 4043, 547, 581, 2484, 811, 835, 8820, 982, 2901, 4890, 6604, 2259, 610, 9082, 2729, 563, 763, 10644, 11554, 6828, 630, 303, 310, 294, 264, 7125, 593, 782, 2609, 540, 2518, 2486, 1765, 20139, 8128, 543, 6608, 267, 3486, 22881, 267, 2930, 8041, 267, 7486, 3028, 7426, 267, 3540, 2486, 267, 7486, 10644, 12824, 23121, 1491, 909, 519, 4161, 540, 5355, 7486, 6604, 998, 3384, 543, 7598, 3084, 2994, 267, 7616, 3084, 6604, 3292, 267, 3384, 519, 1797, 547, 2708, 2994, 8308, 267, 11654, 12352, 609, 824, 1644, 2516, 543, 3292, 267, 12167, 585, 3292, 543, 1287, 6895, 873, 267, 543, 1747, 3152, 10862, 593, 1514, 1382, 547, 2087, 519, 1374, 543, 6765, 540, 6604, 3292, 543, 2533, 269, 0, 763, 2817, 17224, 517, 2246, 923, 543, 6611, 10029, 538, 519, 2475, 568, 4058, 547, 1205, 2021, 547, 519, 2627, 540, 519, 7599, 676, 519, 1032, 476, 1708, 275, 269, 769, 1769, 540, 2487, 5359, 267, 621, 814, 1044, 10294, 602, 519, 5692, 786, 581, 3957, 3203, 28087, 267, 1310, 519, 5259, 31001, 540, 519, 9855, 269, 901, 3515, 909, 9985, 609, 519, 1249, 602, 519, 1101, 7599, 13485, 941, 3957, 21011, 267, 1310, 519, 5259, 2696, 540, 6129, 543, 8752, 269, 8331, 779, 4583, 21011, 631, 3827, 5189, 519, 9855, 779, 2627, 547, 519, 1101, 2367, 945, 15336, 593, 621, 267, 12077, 29484, 28226, 543, 11370, 3960, 25548, 12541, 538, 476, 3422, 280, 563, 22498, 8556, 15249, 7150, 602, 621, 568, 1360, 26752, 602, 1310, 3592, 476, 2004, 1296, 1310, 519, 1101, 7599, 5692, 267, 519, 3203, 28087, 1982, 786, 4163, 519, 1985, 812, 30385, 2639, 763, 2817, 17224, 517, 2246, 923, 543, 6611, 10029, 610, 8331, 568, 513, 1134, 8153, 2230, 13539, 282, 543, 606, 4830, 8116, 540, 519, 2136, 2276, 269, 769, 513, 1158, 1101, 267, 621, 814, 9307, 519, 17677, 589, 3122, 1355, 4414, 3925 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1948, 10780, 7846, 13150, 26281, 11012, 10528, 25986, 30718, 11012, 18194, 31606, 21162, 9261, 4138, 11714, 8563, 19757, 3522, 11714, 476, 25000, 16648, 20434, 20500, 7846, 454, 825, 1239, 4671, 762, 815, 22373, 834, 316, 2608, 7003, 263, 3250, 338, 2020, 825, 1948, 11012, 10528, 25986, 30718, 14359, 4138, 10948, 9841, 3264, 13953, 11714, 8563, 19757, 3522, 11714, 476, 25000, 16648, 20434, 20500, 7846, 454, 825, 2721, 4671, 762, 815, 22373, 265, 19312, 2608, 7003, 263, 3250, 338, 2020, 825, 1948, 10780, 3264, 16417, 9261, 12811, 20265, 9326, 23970, 20265, 10948, 18547, 267, 10780, 7846, 13150, 3522, 9326, 454, 825, 1129, 815, 834, 5016, 825, 2132, 3444, 267, 4642, 267, 3094, 318, 3250, 338, 267, 3268, 267, 2281, 267, 1239, 4671, 762, 267, 1129, 267, 2721, 4671, 762, 7531, 3698, 1820, 4671, 6374, 622, 10857, 560, 2187, 825, 5727, 268, 21660, 10528, 3264, 10948, 19277, 28476, 16044, 486, 3522, 16648, 6459, 32648, 476, 25000, 16648, 20434, 20500, 9924, 12163, 825, 5569, 815, 29185, 16875, 513, 269, 567, 536, 269, 567, 524, 563, 11434, 1341, 1366, 9339, 268, 32504, 825, 476, 272, 269, 1923, 476, 2715, 271, 348, 1923, 476, 2715, 272, 348, 476, 1923, 2715, 273, 348, 476, 11406, 11434, 1923, 955, 266, 955, 268, 266, 955, 2008, 825, 476, 273, 269, 1923, 476, 2715, 274, 348, 1923, 476, 2715, 275, 348, 476, 1923, 2715, 276, 348, 476, 11406, 11434, 1923, 955, 266, 955, 268, 266, 955, 2008, 825, 476, 274, 269, 1923, 476, 2715, 277, 348, 1923, 476, 2715, 278, 348, 476, 1923, 2715, 279, 348, 476, 11406, 11434, 1341, 1366, 9339, 268, 32504, 1038, 454, 825, 834, 257, 2668, 8971, 28949, 331, 560, 994, 825, 1820, 30415, 9239, 3698, 1305, 5334, 793, 6262, 1484, 267, 4642, 2187, 825, 5727, 268, 31560, 9924, 16648, 18775, 23970, 20265, 18547, 12163, 825, 1247, 6936, 912, 1038, 1267, 815, 3403, 2891, 396, 352, 18547, 21833, 4138, 16021, 23970, 20265, 10948, 30718, 18194, 31124, 15800, 15671, 4814, 9924, 910, 2473, 15800, 20434, 476, 271, 281, 19515, 1038, 952, 1267, 2652, 3444, 610, 1267, 2652, 4642, 912, 2018, 2132, 1267, 454, 1038, 3116, 912, 2018, 1820, 2891, 29551, 9924, 27188, 18547, 13194, 3522, 20434, 14359, 3264, 11714, 21268, 21162, 3264, 18194, 31606, 21162, 3264, 257, 9239, 3698, 10941, 23919, 30415, 2187, 825, 5727, 268, 16068, 4344, 29652, 13077, 13194, 4138, 31224, 11012, 4344, 4814, 30718, 7846, 23970, 21268, 18547, 23783, 21170, 12163, 825, 2132, 1412, 8339, 21860, 17338, 263, 516, 951, 539, 30415, 4297, 9239, 3698, 1205, 6831, 8091, 16229, 263, 785, 267, 967, 23631, 341, 2187, 825, 5727, 268, 10780, 17201, 7846, 10948, 4138, 31224, 17095, 18775, 16417, 7549, 4344, 21162, 13953, 15800, 4709, 9686, 3264, 7549, 4736, 17095, 3378, 18775, 9686, 4138, 4709, 19277, 9924, 12163, 825, 952, 967, 568, 7183, 912, 1038, 967, 815, 967, 23631, 341, 454, 825, 2132, 967, 7531, 3698, 27682, 4671, 762, 10857, 560, 267, 967, 267, 1129, 2187, 825, 5727, 268, 10780, 3264, 16417, 13194, 3522, 10528, 25986, 28476, 18194, 31606, 21162, 3264, 476, 25000, 16648, 20434, 20500, 9924, 12163, 825, 32102, 314, 785, 316, 815, 1129, 454, 825, 2132, 32102, 7531, 3698, 1205, 318, 1723, 24002, 263, 785, 9078, 560, 267, 3268, 9078, 560, 267, 1129, 2187, 825, 5727, 268, 10780, 17201, 7846, 10948, 4138, 31224, 267, 29824, 13833, 21268, 4138, 31224, 11714, 8563, 29391, 12811, 21162, 3264, 17095, 3378, 18775, 9686, 4138, 4709, 19277, 9924, 476, 9326, 10948, 3264, 13953, 24012, 12163, 825, 1247, 6936, 1384, 1038, 4717, 815, 3403, 2891, 396, 352, 18547, 21833, 4138, 16021, 17095, 3378, 18775, 9686, 4138, 4709, 19277, 9924, 476, 9326, 10948, 3264, 13953, 24012, 18194, 31124, 630, 2715, 271, 348, 476, 2567, 834, 269, 8971, 4433, 793, 4917, 1038, 4717, 23631, 951, 815, 10941, 23919, 263, 1723, 867, 2020, 1038, 1948, 29824, 13833, 21268, 18547, 11714, 8563, 29391, 12811, 21162, 3264, 17095, 3378, 18775, 9686, 4138, 4709, 19277, 9924, 21660, 11714, 3522, 20434, 9686, 21170, 13150, 9841, 454, 1038, 952, 4717, 538, 967, 9078, 560, 610, 4717, 23631, 951, 538, 967, 9078, 560, 1384, 2018, 1948, 29824, 13833, 21268, 18547, 11714, 29391, 12811, 21162, 3264, 17095, 3378, 18775, 9686, 4138, 4709, 19277, 9924, 21660, 15800, 4736, 10528, 17201, 9841, 13194, 13833, 3522, 17221, 3264, 476, 13077, 4709, 3264, 3264, 454, 2018, 952, 4717, 711, 538, 3268, 9078, 560, 543, 4717, 23631, 951, 711, 538, 3268, 9078, 560, 912, 3546, 2132, 4717, 454, 2018, 3116, 912, 3546, 1820, 2891, 396, 498, 31606, 20265, 9326, 476, 9326, 10948, 3264, 13953, 18547, 27188, 21833, 3264, 30935, 4709, 9326, 25000, 281, 2715, 271, 348, 2668, 8971, 263, 1723, 867, 4917, 3546, 1820, 2891, 268, 257, 2608, 476, 2004, 994, 1038, 3116, 912, 2018, 1820, 2891, 396, 351, 3522, 7549, 26281, 476, 9326, 10948, 3264, 13953, 24012, 11012, 17095, 3378, 18775, 9686, 4138, 4709, 19277, 3522, 9261, 4138, 14359, 3264, 11012, 7846, 27569, 3264, 13150, 8563, 7846, 20046, 281, 2715, 271, 348, 2668, 8971, 263, 1723, 867, 4917, 2018, 1820, 2891, 268, 257, 2608, 476, 2004, 9239, 3698, 1205, 5334, 793, 6262, 1484, 267, 4642, 267, 1129, 2187, 825, 5727, 268, 11714, 9924, 16648, 13077, 31224, 15800, 15671, 4814, 30718, 7846, 23970, 20265, 10948, 30718, 20701, 825, 1948, 31128, 4736, 20434, 23970, 20265, 10948, 18547, 14359, 20046, 267, 476, 26580, 27188, 13150, 31606, 13833, 4138, 31224, 31128, 15671, 3378, 454, 825, 952, 711, 1129, 912, 1038, 2132, 1305, 5334, 793, 6262, 1484, 267, 4642, 2020, 825, 1948, 10780, 21134, 12811, 9326, 31224, 23970, 20265, 10948, 30718, 21660, 29824, 3378, 28821, 8563, 5284, 379, 17201, 5284, 370, 21162, 13953, 454, 825, 952, 1129, 2652, 3444, 912, 1038, 2132, 4642, 454, 825, 2132, 3444, 7531, 3698, 2638, 24449, 1112, 800, 318, 641, 5406, 10857, 560, 267, 3268, 2187, 825, 5727, 268, 29824, 13833, 21268, 18547, 10780, 29652, 29391, 4709, 22147, 3378, 11714, 3522, 23485, 31606, 25000, 20701, 825, 1948, 29824, 13833, 21268, 18547, 20413, 4709, 5284, 370, 3264, 13150, 27593, 21660, 10780, 7846, 13150, 30324, 7846, 454, 825, 952, 711, 3268, 912, 1038, 2132, 7183, 692, 825, 1948, 11012, 5284, 379, 3378, 13150, 3522, 8563, 4138, 31224, 20413, 4709, 5284, 370, 3264, 13150, 27593, 454, 825, 585, 3094, 538, 32102, 912, 1038, 952, 3094, 269, 1170, 889, 3553, 263, 25074, 2187, 2018, 2132, 3094, 7531, 3698, 1397, 318, 7773, 4671, 762, 10857, 560, 12774, 267, 32102, 318, 7773, 2187, 825, 5727, 268, 16068, 4344, 29652, 13077, 13194, 4138, 31224, 10780, 29652, 29391, 21162, 3264, 18194, 31606, 21162, 3264, 11714, 476, 25000, 16648, 20434, 20500, 9924, 267, 10780, 3264, 16417, 5284, 379, 16417, 9686, 3264, 20434, 31224, 1239, 1592, 12163, 825, 585, 530, 538, 32102, 318, 7773, 912, 1038, 32102, 12774, 314, 342, 316, 815, 834, 265, 4840, 825, 2132, 32102, 12774, 7531, 3698, 1205, 10734, 639, 344, 14067, 10134, 10857, 560, 267, 3688, 2187, 825, 5727, 268, 10780, 17201, 7846, 10948, 4138, 31224, 11012, 10528, 25986, 30718, 17095, 3378, 18775, 9686, 4138, 4709, 19277, 30935, 4709, 9326, 4344, 9924, 17153, 476, 9326, 10948, 3264, 3264, 7549, 267, 15800, 13194, 11012, 6459, 13833, 3522, 4814, 9326, 2281, 12163, 825, 32102, 318, 1723, 867, 815, 29129, 825, 585, 1883, 267, 1871, 538, 3688, 912, 1038, 952, 1871, 538, 32102, 912, 2018, 32102, 318, 1723, 867, 6910, 31107, 2020, 825, 2132, 32102, 318, 1723, 867, 7531, 3698, 2638, 5091, 3863, 12759, 14067, 10134, 267, 7003, 318, 3250, 338, 2187, 825, 5727, 268, 29824, 13833, 21268, 18547, 21660, 14359, 4138, 10948, 9841, 19628, 12163, 825, 952, 7003, 14067, 10134, 2652, 7003, 318, 3250, 338, 912, 1038, 2132, 6936, 454, 825, 2132, 8771, 7531, 3698, 1292, 10031, 825, 5727, 268, 476, 16417, 3522, 20434, 13194, 3522, 30530, 9326, 20701, 825, 1948, 2843, 505, 22147, 4138, 18547, 476, 13077, 16648, 30324, 9924, 692, 825, 1948, 15800, 17221, 30530, 3522, 20434, 13194, 4138, 31589, 27671, 476, 16417, 3264, 13150, 4814, 454, 825, 3444, 267, 4642, 267, 3094, 318, 3250, 338, 267, 3268, 267, 2281, 267, 1239, 4671, 762, 267, 1129, 267, 2721, 4671, 762, 815, 2332, 10797, 825, 1948, 2843, 510, 3522, 4736, 10528, 3264, 10948, 19277, 28476, 10780, 7846, 13150, 7846, 19628, 476, 25000, 16648, 20434, 20500, 7846, 454, 825, 1820, 4671, 6374, 622, 16597, 4671, 762, 2020, 825, 1820, 2891, 396, 498, 31124, 11714, 9924, 16648, 3378, 13077, 17095, 6459, 20046, 24012, 27188, 18547, 21833, 4138, 16021, 31128, 3264, 17095, 3378, 18775, 9686, 4138, 4709, 19277, 9924, 513, 272, 15800, 20434, 476, 272, 320, 267, 11012, 9261, 30324, 23485, 16021, 476, 25000, 16648, 20434, 20500, 7846, 11714, 9924, 20732, 3264, 23528, 825, 1820, 2891, 6889, 2608, 476, 2004, 2020, 825, 1247, 6936, 1384, 1038, 1948, 10780, 21134, 12811, 9326, 31224, 23970, 20265, 10948, 30718, 21660, 29824, 3378, 28821, 8563, 5284, 379, 17201, 5284, 370, 21162, 13953, 267, 11714, 4344, 18775, 22147, 3378, 15800, 15671, 4814, 30718, 3522, 454, 1038, 1129, 815, 1205, 5334, 793, 18692, 2018, 3444, 284, 29589, 2676, 2018, 4642, 284, 14706, 2676, 2018, 1129, 284, 338, 793, 2676, 1038, 25589, 1038, 1948, 10780, 17201, 7846, 10948, 4138, 31224, 17095, 3378, 18775, 9686, 4138, 4709, 19277, 9924, 476, 9326, 10948, 3264, 13953, 24012, 454, 1038, 10974, 815, 1205, 318, 1723, 24002, 18692, 2018, 967, 9078, 560, 284, 3250, 338, 269, 12399, 263, 13211, 2018, 3268, 9078, 560, 284, 1326, 10734, 639, 344, 14067, 10134, 18692, 3546, 32102, 17342, 265, 25074, 10947, 6262, 1484, 1070, 2608, 25074, 10947, 263, 14706, 13580, 2676, 3546, 3688, 284, 3250, 338, 29096, 263, 13211, 2018, 476, 13211, 2018, 1129, 284, 338, 793, 2676, 1038, 25589, 1038, 1948, 10780, 17201, 7846, 10948, 4138, 31224, 17095, 18775, 16417, 7549, 4344, 21162, 13953, 15800, 4709, 9686, 3264, 7549, 4736, 17095, 3378, 18775, 9686, 4138, 4709, 19277, 9924, 454, 1038, 4994, 318, 1723, 867, 815, 1205, 6831, 8091, 16229, 18692, 2018, 967, 284, 3250, 338, 10947, 263, 1723, 24002, 13211, 2018, 967, 23631, 341, 284, 3250, 338, 10947, 263, 516, 951, 23919, 263, 1723, 24002, 264, 13211, 1038, 25589, 1038, 1948, 10780, 3264, 16417, 13194, 3522, 10528, 25986, 28476, 476, 25000, 16648, 20434, 20500, 7846, 454, 1038, 1239, 815, 27682, 4671, 762, 18692, 2018, 32102, 284, 11907, 4671, 762, 2676, 2018, 967, 284, 8161, 318, 1723, 867, 2676, 2018, 1129, 284, 338, 793, 2676, 1038, 25589, 1038, 1948, 18194, 29652, 3522, 8563, 4138, 31224, 15800, 4709, 9686, 3264, 7549, 4736, 11714, 11012, 10528, 25986, 30718, 476, 16021, 7549, 7846, 27569, 3264, 15671, 3378, 15800, 15671, 4814, 30718, 3522, 267, 11012, 11714, 9924, 16648, 13077, 4709, 21162, 9261, 23970, 20265, 10948, 7549, 21134, 454, 1038, 3268, 314, 338, 793, 4940, 5417, 263, 8161, 318, 1723, 867, 2020, 1038, 1948, 29824, 13833, 21268, 18547, 10780, 29652, 29391, 4709, 22147, 3378, 11714, 3522, 23485, 31606, 25000, 454, 1038, 3094, 318, 3250, 815, 2638, 24449, 1112, 800, 318, 641, 5406, 18692, 2018, 32102, 284, 7773, 318, 3250, 338, 2676, 2018, 3268, 284, 25074, 10947, 4433, 793, 13211, 1038, 25589, 1038, 1948, 29824, 13833, 21268, 18547, 267, 31128, 4736, 20434, 18194, 31606, 21162, 3264, 14359, 3264, 10780, 7846, 13150, 9924, 15800, 15671, 13077, 30935, 7549, 32648, 10948, 12811, 3522, 454, 1038, 952, 3094, 318, 3250, 912, 2018, 1820, 4671, 6374, 622, 18692, 3546, 32102, 284, 19651, 318, 7773, 4671, 762, 18692, 7386, 32102, 12774, 284, 11907, 2676, 7386, 32102, 318, 7773, 284, 7773, 318, 3250, 2676, 3546, 12467, 2018, 12467, 2018, 1820, 2891, 6889, 2608, 476, 1428, 994, 2018, 1820, 2891, 396, 509, 29652, 29391, 4138, 20434, 910, 2715, 271, 348, 2668, 8971, 4433, 793, 4917, 2018, 1820, 2891, 6889, 2608, 476, 1428, 994, 2018, 2736, 692, 1038, 1948, 31128, 4736, 20434, 10780, 17201, 7846, 10948, 4138, 20434, 14359, 4138, 10948, 9841, 19628, 454, 1038, 952, 2638, 5091, 3863, 18692, 3546, 7003, 14067, 10134, 284, 6352, 8443, 265, 25074, 10947, 6262, 1484, 1070, 2608, 25074, 10947, 263, 14706, 13580, 13211, 3546, 7003, 318, 3250, 338, 284, 6352, 263, 3250, 338, 994, 1038, 476, 2187, 2018, 1820, 4671, 6374, 622, 18692, 3546, 32102, 284, 9526, 4671, 762, 454, 2018, 12467, 2018, 1820, 2891, 6889, 2608, 476, 1428, 994, 2018, 1820, 2891, 396, 352, 31560, 3522, 4736, 14359, 4138, 10948, 9841, 9326, 5602, 2018, 1820, 2891, 6889, 2608, 476, 1428, 994, 2018, 2736, 692, 1038, 1948, 476, 13077, 4736, 10528, 3264, 10948, 19277, 28476, 11714, 8563, 29391, 12811, 21162, 3264, 17095, 3378, 18775, 9686, 4138, 4709, 19277, 9924, 454, 1038, 1820, 4671, 6374, 622, 10857, 560, 284, 11907, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 2119, 912 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1090, 335, 1107, 589, 838, 11047, 610, 6727, 9395, 2287, 1993, 513, 4887, 269, 3040, 15394, 519, 1267, 540, 16698, 1369, 519, 4887, 689, 1373, 936, 1740, 539, 610, 689, 18024, 269, 3040, 2052, 1419, 581, 10970, 7007, 676, 6704, 3579, 1216, 269, 3040, 23883, 5906, 547, 7669, 11302, 269, 3040, 853, 1778, 1107, 589, 2783, 538, 799, 6091, 723, 1044, 936, 1740, 539, 269, 3040, 2052, 2049, 689, 10283, 538, 588, 1066, 6681, 2534, 547, 799, 519, 19002, 568, 796, 3147, 25383, 269, 3040, 1677, 2057, 12490, 267, 519, 19002, 1058, 3636, 909, 543, 1058, 711, 968, 2998, 782, 856, 892, 593, 519, 1101, 1554, 540, 3635, 269, 3040, 1975, 1778, 1107, 1323, 5945, 547, 519, 8031, 4478, 513, 4745, 269, 3040, 10705, 4386, 950, 28587, 616, 21401, 543, 14324, 269, 3040, 2052, 581, 10483, 676, 4049, 1928, 267, 11926, 267, 543, 7411, 3001, 269, 3040, 589, 838, 1778, 949, 1256, 1491, 811, 942, 547, 12115, 982, 513, 7745, 5642, 543, 4049, 12490, 616, 2101, 7063, 602, 2154, 7525, 2564, 3007, 563, 21675, 585, 19724, 20070, 3753, 3040, 26298, 12490, 543, 838, 23230, 666, 581, 5701, 998, 519, 681, 15660, 5861, 9950, 269, 26435, 3040, 10163, 3040, 634, 13676, 19002, 1058, 2057, 1210, 519, 4299, 4887, 610, 4745, 269, 3040, 901, 1522, 27167, 9363, 538, 5127, 585, 930, 942, 269, 3040, 10979, 3040, 10979, 2337, 2569, 1928, 543, 11926, 269, 3040, 9701, 581, 4294, 585, 476, 736, 3764, 267, 6569, 585, 476, 736, 3764, 267, 543, 4294, 1586, 585, 476, 736, 3764, 269, 3040, 3281, 1833, 3040, 8752, 2604, 630, 3697, 606, 589, 576, 17020, 720, 264, 666, 948, 2569, 11926, 3040, 1403, 621, 11912, 1055, 1973, 2095, 267, 602, 568, 3983, 256, 3040, 29175, 566, 3040, 14780, 2358, 519, 4299, 18215, 1657, 519, 2295, 666, 948, 2569, 1928, 543, 11926, 563, 28899, 11644, 7304, 601, 730, 20070, 3753, 3040, 9502, 1107, 20070, 3753, 585, 799, 2564, 2126, 568, 2838, 3040, 674, 847, 999, 1107, 7102, 1826, 540, 2736, 538, 519, 5642, 3040, 1358, 2154, 7525, 1799, 984, 16478, 547, 12115, 5265, 3040, 1403, 519, 5642, 814, 7357, 7745, 538, 1079, 267, 519, 1079, 15998, 1590, 581, 585, 322, 4601, 5116, 1394, 538, 1747, 12462, 3553, 14615, 538, 1931, 547, 12115, 267, 3006, 609, 804, 10102, 543, 25336, 269, 3040, 2598, 331, 6327, 1107, 513, 2783, 602, 2164, 950, 513, 5642, 1793, 2354, 689, 922, 3339, 2990, 693, 513, 4745, 3040, 634, 5642, 1590, 581, 2322, 1394, 883, 1747, 543, 1799, 984, 28895, 676, 513, 4387, 610, 8036, 3318, 865, 602, 519, 5160, 666, 12115, 269, 3040, 570, 754, 514, 4345, 1107, 513, 2783, 538, 799, 519, 28844, 616, 21401, 610, 14324, 689, 936, 2224, 269, 3040, 10671, 2231, 1964, 267, 6527, 267, 543, 2168, 3797, 547, 12115, 1034, 3927, 269, 3040, 645, 869, 338, 547, 519, 10361, 3040, 2052, 2014, 11926, 540, 519, 2634, 630, 663, 3976, 17499, 1145, 543, 1256, 2669, 264, 3040, 2052, 2014, 6677, 21631, 3040, 9502, 1107, 589, 10151, 19717, 538, 519, 2634, 779, 2702, 547, 1599, 269, 3040, 12580, 1331, 21994, 543, 14331, 269, 3040, 19270, 21631, 616, 3978, 2175, 602, 1058, 581, 4080, 547, 513, 10629, 5612, 563, 2171, 1430, 13565, 24093, 3040, 12182, 16661, 24093, 3040, 744, 3164, 343, 1068, 542, 1107, 936, 11529, 519, 1560, 269, 3040, 1546, 5139, 1674, 1107, 589, 3668, 540, 6190, 12862, 1369, 519, 1560, 269, 3040, 14333, 595, 1090, 1186, 1107, 26298, 838, 553, 916, 602, 1267, 689, 2530, 540, 1804, 5666, 540, 6070, 543, 1216, 998, 1086, 17508, 269, 3040, 14333, 1401, 9151, 542, 1107, 3683, 515, 908, 540, 519, 1560, 4611, 538, 4411, 267, 804, 20632, 2960, 543, 2589, 540, 8710, 269, 3040, 4033, 2589, 1331, 21994, 267, 15677, 267, 26032, 540, 7362, 267, 543, 15353, 269, 3040, 14333, 560, 6593, 1107, 1323, 17418, 540, 519, 1560, 547, 7759, 3294, 540, 4430, 3002, 998, 1086, 17508, 269, 3040, 901, 568, 5732, 1272, 17116, 269, 3040, 12019, 16661, 24093, 3040, 29778, 321, 924, 1107, 16448, 602, 2164, 950, 1560, 5160, 3587, 13792, 269, 3040, 1677, 2057, 15470, 321, 924, 267, 10571, 538, 3636, 9660, 538, 4411, 4365, 543, 3382, 782, 6534, 2960, 269, 3040, 667, 816, 538, 6106, 3040, 14523, 1278, 8926, 1107, 589, 2783, 538, 799, 519, 1560, 2837, 3587, 5906, 569, 1970, 3040, 2052, 1267, 689, 1279, 4598, 547, 24925, 267, 2842, 344, 267, 610, 4411, 4365, 269, 3040, 634, 1560, 2837, 3587, 5906, 569, 1970, 547, 519, 1448, 1141, 519, 2634, 666, 1100, 3476, 1599, 269, 3040, 634, 6408, 949, 957, 771, 528, 14314, 543, 6336, 5179, 1852, 3040, 14523, 1278, 8926, 568, 1272, 17116, 543, 1058, 581, 5701, 1199, 1227, 607, 4166, 607, 2009, 563, 1320, 9722, 6168, 8881, 3040, 9608, 8881, 3040, 6875, 4063, 540, 519, 942, 543, 1747, 1141, 596, 8359, 547, 3635, 12946, 538, 2247, 707, 2123, 3106, 269, 3040, 4635, 7743, 16811, 3040, 2422, 8825, 3937, 538, 1931, 547, 2057, 5945, 547, 1312, 519, 1560, 543, 519, 2212, 269, 3040, 589, 1434, 1259, 547, 2119, 856, 3937, 1354, 11449, 621, 568, 676, 24228, 689, 513, 3659, 269, 3040, 1744, 3996, 1058, 723, 24302, 16845, 24933, 267, 1434, 2895, 1489, 267, 543, 15792, 23179, 4055, 282, 561, 3166, 10887, 616, 1655, 585, 1697, 1852, 540, 519, 3952, 269, 3040, 932, 846, 3617, 7802, 585, 519, 2534, 538, 799, 596, 616, 2502, 269, 3040, 1401, 281, 1684, 711, 979, 31610, 538, 513, 1279, 3915, 12976, 10571, 602, 786, 581, 9575, 593, 519, 22557, 540, 519, 17919, 269, 0, 288, 1239, 2095, 6516, 17093, 323, 568, 513, 2757, 3308, 6041, 540, 519, 1344, 8928, 1369, 513, 1062, 269, 898, 568, 513, 1535, 6447, 337, 335, 322, 7817, 585, 1449, 2359, 1062, 1449, 15062, 269, 4578, 2095, 12222, 616, 9738, 609, 824, 2409, 540, 11295, 1949, 2079, 269, 4578, 2095, 12222, 540, 2852, 1344, 2359, 1062, 269, 589, 1239, 2095, 6516, 17093, 323, 568, 513, 21370, 6041, 540, 519, 2095, 540, 1239, 998, 606, 1344, 1062, 607, 3254, 593, 519, 17093, 323, 2095, 5750, 4137, 476, 276, 267, 9781, 922, 1184, 3344, 269, 589, 16517, 543, 2312, 17093, 323, 666, 6813, 519, 1318, 2179, 540, 519, 1062, 10421, 3113, 1227, 563, 288, 1788, 1065, 8527, 593, 12957, 2359, 1062, 10505, 614, 585, 519, 9864, 20106, 540, 519, 4110, 540, 20277, 540, 2029, 538, 2780, 2257, 11643, 676, 812, 880, 737, 20783, 737, 2313, 342, 21036, 543, 812, 880, 695, 12609, 986, 329, 323, 7315, 328, 2852, 269, 4578, 2095, 12222, 616, 1031, 547, 14650, 519, 1239, 2095, 1369, 1949, 269, 4578, 2095, 6516, 585, 2852, 2359, 1062, 9479, 543, 20072, 28085, 1863, 269, 4578, 6503, 568, 519, 3350, 540, 1239, 998, 513, 1062, 16922, 540, 3301, 267, 8800, 610, 513, 4999, 540, 1312, 269, 11846, 2359, 1062, 1196, 3386, 1239, 2095, 6516, 269, 7926, 2359, 1062, 17093, 323, 1239, 2095, 6516, 1711, 569, 269, 634, 17093, 323, 849, 2488, 1344, 827, 519, 17016, 543, 11378, 540, 1142, 11769, 543, 519, 1184, 3294, 269, 1703, 616, 513, 1906, 1114, 2010, 540, 1239, 2095, 12222, 585, 513, 5399, 2359, 1062, 269, 8281, 5399, 2359, 1239, 2095, 17074, 538, 7824, 3898, 269, 634, 1292, 2601, 585, 1210, 1184, 2095, 24577, 568, 547, 1397, 519, 6935, 1063, 2101, 2694, 540, 519, 1062, 563, 299, 3869, 2359, 1239, 2095, 1806, 543, 17074, 269, 5426, 476, 271, 17093, 323, 585, 5399, 2359, 1062, 2638, 344, 4486, 269, 589, 1239, 2095, 6516, 17093, 323, 14550, 875, 1239, 568, 9268, 676, 513, 1062, 538, 2474, 540, 11378, 543, 17016, 269, 1879, 621, 2501, 547, 2241, 1239, 2095, 6516, 1806, 267, 2796, 835, 814, 519, 1283, 1747, 269, 4578, 2095, 6516, 585, 1153, 2359, 1062, 7824, 269, 589, 1788, 1065, 8527, 593, 12957, 2359, 1062, 10505, 614, 585, 519, 9864, 20106, 540, 519, 4110, 540, 20277, 540, 2029, 538, 2780, 2257, 11643, 676, 812, 880, 737, 20783, 737, 2313, 342, 21036, 543, 812, 880, 695, 12609, 986, 329, 323, 7315, 328, 2852, 267, 6280, 540, 1642, 6062, 1007, 1642, 6062, 2780, 2257, 8257, 476, 273, 563, 2304, 11769, 30447, 1222, 6516, 2144, 323, 568, 513, 3308, 6881, 540, 9988, 543, 3347, 269, 5441, 2359, 1062, 1239, 6503, 6516, 17093, 323, 1954, 788, 549, 915, 345, 269, 589, 5399, 2359, 1062, 1239, 2095, 6516, 17093, 323, 2982, 875, 519, 1344, 1369, 513, 5399, 1062, 2115, 547, 2095, 547, 2743, 519, 2115, 540, 29123, 610, 1053, 607, 1134, 607, 5399, 16984, 269, 634, 2832, 540, 17093, 323, 568, 538, 6104, 5109, 540, 1620, 1063, 9367, 543, 3755, 269, 634, 3804, 540, 519, 1344, 1062, 1239, 2095, 6516, 568, 547, 7001, 519, 1292, 3334, 540, 606, 1344, 1062, 267, 875, 1239, 7575, 1369, 519, 1062, 267, 3593, 5793, 9146, 2798, 267, 543, 519, 28431, 10465, 269, 623, 696, 32029, 267, 14133, 267, 1471, 1470, 610, 1022, 824, 3561, 269, 589, 1239, 2095, 6516, 568, 513, 21370, 2070, 540, 875, 1239, 568, 9268, 538, 513, 1062, 538, 2474, 540, 3403, 543, 3977, 269, 1306, 922, 2012, 6920, 922, 1445, 568, 593, 519, 2095, 540, 1344, 267, 1141, 1239, 2501, 689, 267, 1141, 621, 4422, 543, 875, 621, 4991, 6740, 269, 4578, 6503, 568, 1419, 3989, 1210, 513, 2203, 610, 6516, 538, 799, 519, 3003, 1184, 540, 1239, 3350, 568, 25528, 607, 621, 10596, 689, 835, 5057, 547, 519, 1985, 1369, 513, 1982, 610, 513, 1062, 269, 4578, 2095, 12222, 1683, 513, 21370, 6041, 540, 519, 1062, 269, 634, 2489, 1523, 568, 606, 1935, 540, 513, 18995, 875, 4386, 3403, 538, 513, 1062, 267, 2417, 3157, 543, 1018, 8255, 856, 563, 291, 325, 323, 585, 6413, 2359, 1062, 31448, 676, 981, 513, 14505, 534, 269, 12745, 1239, 2095, 6516, 849, 1572, 1377, 476, 271, 6516, 3096, 1152, 835, 1184, 547, 2099, 519, 3252, 540, 519, 3003, 1062, 269, 2422, 1711, 569, 338, 2653, 2228, 6516, 9375, 547, 12575, 713, 6516, 267, 12840, 609, 1866, 543, 13143, 2164, 547, 2789, 3239, 12043, 269, 898, 568, 2919, 971, 602, 519, 3157, 4330, 538, 519, 9266, 1239, 2095, 12222, 269, 5441, 2359, 1062, 1239, 2095, 6516, 568, 1419, 1031, 607, 513, 16861, 1900, 547, 1711, 606, 7650, 540, 519, 2852, 2359, 1510, 2469, 883, 1390, 1469, 267, 799, 666, 2663, 581, 11840, 730, 269, 21584, 3059, 1436, 540, 2359, 1062, 585, 2852, 543, 2875, 269, 8281, 5399, 2359, 1239, 2095, 17074, 538, 1196, 3386, 3898, 269, 14674, 519, 946, 540, 1239, 2095, 12222, 3132, 513, 1239, 2095, 6516, 689, 513, 2016, 2013, 1353, 1519, 1114, 2157, 10646, 1063, 519, 1114, 6688, 540, 1239, 2095, 12222, 269, 11846, 2359, 1062, 1239, 2095, 6516, 676, 1085, 2714, 4779, 648, 563, 10574, 2095, 12222, 513, 11295, 2079, 4480, 602, 18271, 513, 1305, 540, 3308, 11269, 540, 519, 1239, 602, 7575, 998, 519, 3919, 267, 519, 10092, 998, 799, 519, 1239, 7575, 267, 543, 519, 3157, 602, 3132, 267, 946, 267, 543, 2981, 1239, 269, 1411, 666, 946, 891, 10853, 3732, 12222, 607, 6667, 585, 707, 1378, 12222, 585, 707, 6075, 1062, 269, 589, 1239, 2095, 6516, 6029, 2680, 2359, 1062, 17093, 323, 269, 589, 17093, 323, 540, 513, 23028, 6728, 1062, 1377, 476, 271, 2796, 1377, 23641, 23028, 6728, 1062, 6802, 1376, 6802, 5365, 2179, 540, 2724, 5401, 711, 269, 4578, 2095, 6516, 540, 2852, 2359, 1062, 1863, 4647, 607, 2262, 2703, 269, 5463, 476, 2918, 267, 476, 1001, 273, 1239, 2095, 6516, 585, 2852, 2359, 1062, 556, 28085, 635, 269, 4578, 2095, 6516, 3388, 596, 991, 547, 917, 827, 17093, 323, 269, 3752, 2006, 7028, 519, 1739, 3157, 585, 3498, 29488, 2359, 269, 634, 476, 271, 1377, 17093, 323, 1634, 607, 2796, 1377, 1239, 2095, 6516, 269, 4578, 2095, 12222, 17093, 1091, 7866, 3347, 1851, 543, 1063, 519, 1585, 3334, 538, 513, 1982, 610, 1062, 269, 634, 522, 1377, 17093, 323, 4766, 519, 782, 3593, 13838, 945, 2196, 519, 1062, 269, 4578, 2095, 12222, 1683, 513, 21370, 6041, 540, 519, 1062, 602, 6663, 547, 581, 3015, 547, 563, 31955, 5399, 2359, 1062, 1196, 3386, 1239, 2095, 269, 6713, 2095, 24577, 2721, 1184, 2095, 12222, 676, 4358, 269, 28088, 2359, 1062, 1239, 6503, 6516, 17093, 323, 1954, 788, 549, 915, 345, 269, 589, 1239, 2095, 6516, 6029, 2852, 5399, 2359, 1062, 269, 26323, 2359, 1062, 1239, 2095, 6516, 568, 1419, 1031, 607, 513, 16861, 1900, 547, 1711, 606, 7650, 540, 519, 9872, 1510, 2469, 883, 563, 10574, 2095, 6516, 540, 2852, 2359, 1062, 31163, 323, 269, 4578, 2095 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23530, 14346, 8440, 960, 676, 13321, 519, 1769, 1379, 689, 519, 3141, 267, 711, 519, 3002, 1648, 267, 883, 5122, 1379, 269, 634, 1591, 1141, 713, 1379, 7503, 689, 9891, 547, 5122, 4523, 568, 1572, 513, 9891, 6007, 269, 5272, 3859, 8470, 814, 5176, 476, 2568, 3859, 9075, 602, 12840, 547, 6460, 7943, 883, 3167, 1648, 585, 946, 538, 3167, 14233, 563, 21798, 540, 9891, 19937, 2382, 531, 618, 538, 5177, 454, 23530, 1379, 568, 606, 5140, 4199, 540, 7791, 4199, 602, 786, 6157, 2569, 707, 3327, 11640, 267, 538, 1840, 547, 9494, 6666, 269, 7353, 19661, 545, 8470, 6166, 547, 581, 513, 1279, 3856, 2883, 5092, 267, 543, 4352, 519, 1101, 9276, 949, 2408, 1164, 267, 519, 1942, 540, 3859, 568, 4867, 476, 3583, 260, 1447, 982, 538, 3105, 1296, 563, 20175, 543, 849, 3154, 3928, 786, 1175, 4473, 538, 519, 2104, 269, 4935, 513, 3859, 8470, 1062, 786, 948, 2149, 596, 689, 891, 30313, 720, 762, 2810, 9276, 563, 15703, 31834, 14419, 634, 8779, 2986, 12305, 532, 7353, 19661, 545, 7754, 1564, 912, 268, 2659, 5551, 8470, 1826, 454, 268, 634, 2179, 540, 1379, 596, 1616, 3859, 8440, 547, 1020, 454, 268, 634, 2470, 607, 1134, 607, 2450, 540, 707, 2679, 454, 268, 634, 4287, 707, 32072, 1062, 8188, 454, 7476, 5131, 9891, 12305, 566, 2372, 1774, 454, 2467, 3657, 589, 20769, 2986, 22436, 2334, 1411, 2052, 25547, 633, 3245, 17553, 5455, 589, 7353, 19661, 545, 19937, 769, 634, 5600, 454, 3963, 1810, 1406, 596, 3489, 513, 9891, 12182, 4826, 8470, 538, 707, 2777, 286, 1411, 1522, 711, 723, 2965, 2219, 540, 519, 2338, 267, 855, 621, 1223, 6175, 707, 3327, 17579, 525, 676, 607, 1454, 607, 476, 4335, 330, 7714, 1142, 1032, 267, 799, 1131, 6157, 3274, 581, 513, 1376, 563, 2252, 782, 3457, 538, 519, 15335, 666, 849, 979, 3859, 267, 1589, 827, 1175, 875, 1454, 2724, 596, 1522, 4688, 950, 596, 2760, 2899, 811, 723, 547, 2566, 936, 519, 5201, 13258, 563, 4407, 3327, 5434, 941, 711, 519, 1152, 2601, 3859, 8440, 941, 2813, 267, 2221, 267, 789, 616, 519, 2101, 2601, 519, 3859, 8470, 568, 538, 946, 269, 3767, 2429, 519, 8608, 267, 2043, 616, 15695, 602, 609, 519, 3618, 5906, 3327, 9688, 5232, 267, 2798, 3274, 666, 711, 8399, 676, 3257, 713, 563, 21900, 19661, 545, 8470, 666, 581, 1500, 540, 3859, 2281, 610, 3002, 268, 25388, 6883, 10824, 610, 3859, 2281, 269, 23657, 1259, 267, 789, 616, 8612, 547, 5531, 1379, 689, 519, 3141, 543, 849, 1118, 621, 6225, 585, 824, 3457, 269, 1403, 596, 917, 4010, 875, 547, 8415, 873, 1134, 267, 1310, 602, 596, 1590, 581, 3478, 873, 8704, 538, 707, 1753, 2221, 269, 0, 307, 2056, 547, 1847, 538, 610, 1106, 513, 1895, 609, 1866, 540, 519, 1482, 2186, 912, 29209, 538, 1163, 534, 572, 282, 838, 20160, 912, 15812, 539, 676, 610, 6029, 3573, 1620, 912, 294, 1516, 20310, 2963, 610, 598, 5477, 6169, 454, 4462, 6135, 11712, 610, 7050, 538, 3929, 4082, 282, 575, 639, 1506, 912, 16352, 513, 2647, 9165, 267, 1198, 267, 3310, 267, 3092, 5919, 2484, 23568, 282, 3102, 454, 15812, 539, 676, 610, 2348, 513, 29916, 547, 2911, 563, 763, 4214, 540, 7839, 568, 1945, 1134, 8153, 610, 2016, 856, 936, 513, 1804, 1858, 610, 547, 513, 1804, 1895, 540, 1004, 563, 7883, 532, 856, 610, 2476, 282, 8977, 532, 912, 16352, 513, 3978, 5837, 3483, 282, 15626, 912, 28415, 569, 6654, 282, 1025, 520, 656, 912, 23744, 3636, 267, 3839, 543, 2653, 547, 9305, 609, 538, 1915, 563, 29209, 538, 2450, 267, 6708, 267, 9165, 267, 3092, 5919, 838, 20160, 282, 887, 3912, 454, 292, 553, 1176, 759, 11167, 3312, 2450, 610, 3337, 1310, 1373, 21401, 610, 6382, 632, 11526, 282, 8465, 563, 763, 4214, 540, 21464, 568, 2186, 543, 4758, 267, 610, 513, 1804, 2179, 563, 3519, 19694, 547, 1272, 267, 2208, 267, 610, 4313, 282, 7646, 912, 15761, 2400, 538, 942, 610, 3845, 912, 16352, 610, 4758, 811, 982, 2614, 2230, 610, 4055, 282, 5318, 282, 3573, 454, 763, 4214, 540, 5318, 568, 513, 1804, 610, 10373, 7274, 563, 21918, 1243, 538, 1858, 610, 9165, 282, 16081, 6244, 563, 763, 4214, 540, 3908, 568, 1945, 610, 2576, 609, 6302, 610, 9993, 563, 4467, 11772, 633, 538, 6708, 610, 3178, 912, 5319, 331, 20149, 610, 3376, 538, 2495, 267, 9165, 267, 610, 3310, 912, 290, 1478, 532, 513, 2647, 9165, 454, 8253, 3908, 538, 9165, 267, 1858, 267, 610, 3498, 912, 763, 4214, 540, 8537, 568, 1945, 602, 1281, 711, 4734, 1022, 851, 610, 1895, 856, 563, 290, 1478, 532, 513, 2647, 1858, 282, 1519, 1454, 912, 290, 1478, 532, 513, 2647, 9165, 454, 6546, 666, 581, 10299, 267, 607, 513, 2068, 454, 29445, 610, 1930, 538, 4633, 610, 2623, 454, 305, 334, 3912, 282, 15792, 282, 10690, 282, 2407, 454, 263, 30125, 264, 513, 2268, 3379, 609, 513, 3044, 4704, 1871, 676, 6498, 267, 547, 3132, 513, 5223, 1510, 1770, 610, 10155, 630, 324, 3052, 269, 1808, 31659, 4994, 568, 513, 6986, 1297, 267, 543, 568, 3448, 547, 602, 540, 2011, 994, 11514, 12723, 547, 581, 1930, 267, 1914, 762, 267, 543, 2911, 894, 454, 762, 610, 512, 2056, 547, 4228, 610, 6353, 676, 7269, 454, 8340, 1776, 2262, 585, 27763, 269, 769, 713, 2985, 596, 666, 3605, 476, 8618, 19655, 267, 1884, 11618, 267, 18986, 11703, 7215, 267, 543, 1644, 1913, 585, 27763, 267, 899, 281, 575, 2958, 13895, 267, 3376, 267, 3102, 267, 3087, 894, 267, 2498, 15133, 267, 3573, 267, 2911, 894, 267, 7839, 267, 32705, 267, 970, 549, 30062, 543, 856, 4707, 269, 0, 1432, 568, 15303, 334, 3203, 286, 5700, 3388, 827, 23088, 3203, 454, 290, 7973, 334, 1148, 568, 513, 1007, 2511, 540, 1148, 602, 568, 3370, 607, 606, 23088, 630, 12061, 1922, 2426, 1043, 18351, 264, 593, 519, 9893, 269, 15303, 334, 5159, 946, 3009, 267, 9893, 2029, 543, 3059, 19728, 547, 1711, 32454, 543, 15814, 26620, 563, 1103, 2241, 2474, 267, 21888, 1148, 568, 513, 3059, 1148, 602, 814, 1044, 24290, 609, 513, 835, 6361, 8584, 29292, 4357, 1883, 269, 634, 1857, 1883, 666, 581, 3838, 11884, 267, 855, 519, 4357, 1883, 666, 1152, 581, 1232, 7973, 539, 676, 519, 8227, 540, 519, 11247, 563, 290, 7973, 334, 610, 23088, 1148, 666, 581, 2813, 676, 3059, 5159, 267, 3308, 5159, 267, 610, 1256, 9380, 832, 945, 6451, 9893, 2029, 883, 3059, 543, 2168, 1568, 899, 10367, 267, 18810, 267, 543, 19698, 563, 290, 7973, 334, 1148, 568, 711, 1175, 513, 1259, 547, 1118, 3059, 1148, 811, 5150, 543, 7543, 547, 5299, 267, 621, 568, 849, 606, 1148, 4062, 827, 519, 1379, 540, 14238, 269, 898, 779, 827, 1018, 4523, 950, 649, 9192, 1148, 609, 11670, 543, 922, 5817, 9893, 2029, 563, 1432, 2306, 15303, 334, 3203, 2027, 888, 763, 1292, 4183, 602, 2306, 21888, 1148, 610, 23088, 1796, 856, 689, 1866, 568, 922, 968, 8243, 691, 4579, 892, 1062, 267, 799, 3947, 3656, 2924, 547, 707, 11247, 1759, 593, 519, 21578, 7014, 269, 901, 2636, 585, 513, 811, 5150, 11834, 1063, 23138, 543, 22673, 563, 5194, 3364, 602, 2306, 21888, 1148, 2027, 568, 922, 9893, 3760, 799, 2636, 585, 8852, 547, 581, 811, 12001, 543, 5150, 982, 2479, 1354, 269, 2060, 713, 2186, 540, 3354, 3800, 538, 1747, 267, 596, 616, 16798, 602, 707, 2724, 568, 2922, 950, 1210, 21888, 1148, 563, 1692, 568, 15303, 334, 3203, 7756, 689, 12465, 3203, 888, 290, 7973, 334, 610, 23088, 1148, 568, 1114, 689, 2757, 1148, 538, 1082, 2081, 269, 3689, 540, 782, 267, 621, 3096, 1007, 2010, 540, 23447, 281, 9893, 2029, 543, 15170, 269, 2755, 2757, 5159, 723, 1044, 1210, 3282, 19267, 267, 17198, 267, 543, 824, 2326, 585, 5553, 547, 1711, 741, 1568, 540, 1148, 267, 21888, 5159, 723, 1044, 1210, 519, 4950, 543, 3059, 2923, 585, 741, 13144, 563, 290, 7973, 334, 1148, 849, 15320, 689, 2757, 1148, 538, 2474, 540, 922, 10333, 269, 12465, 26620, 616, 3622, 3908, 547, 15882, 267, 26847, 610, 824, 14266, 5624, 1141, 789, 616, 4843, 538, 513, 6417, 1604, 602, 3340, 10479, 547, 4283, 269, 15303, 334, 1148, 610, 23088, 666, 581, 1336, 11884, 593, 519, 4950, 610, 9308, 1459, 593, 3615, 538, 1857, 5624, 971, 607, 5721, 10473, 543, 1668, 13515, 563, 12234, 267, 2757, 26620, 616, 1419, 6394, 676, 15882, 610, 26847, 945, 1287, 6133, 873, 547, 4357, 19216, 1247, 21888, 1148, 568, 11884, 3838, 609, 519, 1857, 593, 1514, 2923, 4609, 899, 17749, 610, 12108, 1510, 1022, 13075, 8852, 3238, 563, 7197, 11932, 267, 2757, 1148, 4564, 519, 3646, 540, 1367, 5159, 1247, 21888, 1148, 4564, 519, 10319, 3646, 540, 1082, 1004, 2324, 1927, 593, 18228, 5121, 998, 5100, 11731, 543, 18228, 3156, 630, 6395, 653, 338, 1040, 4935, 267, 621, 568, 7543, 585, 2757, 5159, 547, 2709, 2407, 11413, 827, 741, 960, 899, 21888, 5159, 666, 609, 741, 1930, 21299, 3009, 1065, 21627, 1559, 543, 9893, 11834, 5638, 563, 1432, 568, 519, 3017, 1063, 15303, 334, 3203, 267, 15303, 334, 11814, 17156, 267, 543, 15303, 334, 2667, 1115, 888, 290, 7973, 334, 1148, 568, 1114, 689, 21888, 7221, 543, 21888, 2445, 17156, 607, 621, 1281, 711, 723, 1022, 10626, 3544, 540, 1373, 513, 21689, 779, 6221, 269, 15303, 334, 7221, 616, 1031, 585, 10626, 630, 1721, 1383, 267, 5599, 610, 588, 1136, 1070, 4352, 21888, 1148, 666, 849, 581, 1031, 585, 10626, 607, 1134, 630, 16341, 5159, 3398, 11033, 1210, 741, 21888, 1148, 1916, 290, 7973, 334, 2445, 17156, 616, 1419, 711, 2808, 21888, 1148, 1317, 789, 2270, 930, 1826, 540, 10342, 610, 10626, 282, 789, 616, 849, 811, 2693, 547, 581, 811, 3407, 538, 535, 9332, 9304, 982, 789, 616, 538, 15170, 269, 769, 824, 1913, 267, 21888, 610, 23088, 1148, 666, 581, 9763, 607, 513, 15410, 540, 21888, 2445, 17156, 2443, 835, 602, 568, 17033, 606, 7071, 4062, 609, 1100, 3606, 10342, 610, 10626, 563, 1692, 547, 1711, 15303, 334, 3203, 610, 23088, 888, 4415, 2561, 344, 26629, 23088, 31098, 267, 596, 666, 1711, 21888, 1148, 610, 23088, 538, 3764, 1510, 1022, 8193, 610, 8888, 1983, 269, 7427, 519, 3268, 2630, 547, 1118, 707, 23088, 4015, 3362, 543, 7561, 563, 272, 269, 8564, 606, 23088, 1374, 454, 16521, 707, 5551, 23088, 10959, 689, 519, 2647, 5399, 454, 273, 269, 11426, 1125, 21888, 1148, 610, 23088, 454, 27087, 519, 1413, 543, 1745, 540, 707, 23088, 547, 1118, 621, 2189, 454, 274, 269, 1401, 1636, 543, 6133, 707, 23088, 454, 12606, 519, 21888, 1148, 610, 23088, 538, 707, 9053, 3898, 543, 6133, 621, 2228, 454, 3086, 602, 596, 917, 782, 827, 21888, 1148, 610, 23088, 1148, 267, 543, 875, 547, 1711, 707, 1378, 21888, 1148, 610, 23088, 267, 1810, 1406, 7227, 1279, 269, 5192, 3323, 2221, 547, 1118, 513, 2462, 19539, 538, 519, 9893, 1158, 538, 519, 2104, 563, 268, 8073, 606, 25515, 10794, 609, 27997, 543, 2473, 13892, 454, 268, 6904, 5839, 9349, 568, 6153, 2037, 965, 585, 25515, 4886, 888, 268, 1548, 568, 21480, 595, 630, 13528, 476, 10441, 271, 264, 1299, 875, 547, 3758, 621, 888, 268, 8177, 540, 25723, 2752, 5723, 299, 2464, 593, 17834, 10292, 4041, 6673, 303, 667, 14110, 5085, 8008, 16774, 454, 268, 1215, 16763, 9612, 29393, 6435, 1411, 4855, 2659, 14134, 16763, 888, 268, 634, 7395, 673, 476, 1015, 343, 3763, 518, 1107, 1215, 888, 268, 1215, 547, 8073, 513, 20907, 532, 2561, 286, 1496, 266, 276, 7454, 20907, 532, 29393, 585, 476, 1708, 272, 2639, 268, 8629, 14114, 686, 5034, 14691, 630, 302, 8008, 264, 538, 27997, 454, 268, 1215, 547, 2422, 31133, 2305, 547, 30205, 2659, 21436, 700, 5819, 1399, 5358, 888, 268, 1215, 547, 12706, 513, 8048, 19087, 13378, 15318, 888, 7197, 15019, 24762, 454, 268, 634, 3778, 540, 5616, 779, 8298, 334, 454, 3528, 2806, 327, 20680, 717, 2273, 9618, 1923, 4728, 476, 1839, 267, 476, 1708, 271, 454, 268, 1215, 1677, 8281, 267, 12305, 543, 22352, 2473, 13892, 454, 3528, 589, 553, 604, 16679, 1923, 5437, 476, 1839, 267, 476, 1708, 272, 454, 268, 5440, 7467, 29393, 547, 3142, 596, 6251, 547, 1148, 454, 3528, 2806, 327, 20680, 717, 2273, 9618, 1923, 4864, 476, 276, 267, 476, 1708, 271, 454, 268, 1215, 547, 32374, 606, 23088, 5741, 11773, 2685, 888, 3528, 2806, 327, 20680, 717, 2273, 9618, 1923, 5988, 476, 1240, 267, 476, 1708, 273, 454, 268, 30498, 538, 27997, 4112, 7134, 454, 3528, 589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1038, 2040, 23785, 328, 1477, 2745, 4433, 636, 10142, 258, 9792, 263, 272, 267, 1911, 267, 273, 264, 476, 272, 28996, 4200, 7511, 417, 354, 485, 12255, 476, 17276, 511, 354, 421, 499, 379, 20992, 273, 1477, 8999, 284, 271, 1477, 1721, 1775, 538, 2039, 263, 271, 267, 6200, 267, 273, 8029, 825, 2040, 23785, 328, 5897, 2745, 4433, 636, 10142, 258, 1247, 23523, 359, 27064, 363, 1477, 320, 284, 272, 1477, 6112, 513, 2525, 272, 6769, 825, 1820, 2891, 320, 2525, 272, 14744, 825, 513, 30381, 266, 272, 1477, 12828, 6769, 825, 1820, 2891, 320, 256, 284, 272, 14744, 825, 1820, 5416, 10142, 258, 13127, 484, 503, 29873, 13601, 27310, 1477, 320, 284, 271, 1477, 6112, 513, 2525, 271, 281, 320, 23785, 272, 1477, 2745, 5416, 10142, 258, 2736, 18998, 11666, 826, 1477, 1721, 1775, 538, 2039, 263, 272, 267, 1015, 8029, 825, 952, 1775, 2525, 276, 6769, 1038, 2736, 1477, 825, 1820, 9217, 10142, 1721, 1775, 538, 2039, 263, 272, 267, 1015, 8029, 825, 952, 1775, 2525, 276, 6769, 1038, 3136, 1477, 825, 1820, 9217, 10142, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 7042, 5814, 19523, 692, 320, 815, 703, 4433, 903, 27769, 341, 314, 272, 20285, 604, 476, 271, 27045, 320, 283, 1015, 912, 476, 1820, 2891, 9767, 4866, 547, 3214, 5602, 19197, 476, 1015, 27045, 320, 283, 1240, 912, 476, 1820, 2891, 9767, 4866, 547, 21717, 5602, 19197, 476, 1240, 27045, 320, 283, 1789, 912, 476, 1820, 2891, 9767, 4866, 547, 2937, 5602, 19197, 476, 1789, 27045, 320, 283, 2568, 912, 476, 1820, 2891, 9767, 4866, 547, 4587, 5602, 12828, 912, 476, 1820, 2891, 9767, 4866, 547, 9510, 15419, 692, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 268, 265, 268, 8193, 281, 583, 325, 268, 279, 20609, 8894, 5814, 19523, 454, 338, 284, 3553, 4590, 328, 815, 703, 12759, 4433, 903, 27769, 341, 4917, 333, 815, 476, 272, 454, 6112, 562, 283, 328, 912, 476, 521, 14491, 4433, 903, 27769, 341, 19559, 7481, 476, 562, 815, 562, 266, 272, 692, 2745, 4433, 9239, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 7042, 5814, 19523, 692, 559, 815, 7003, 4433, 903, 27769, 341, 994, 328, 815, 476, 272, 692, 6112, 1775, 2999, 24924, 912, 476, 952, 7003, 4433, 903, 27769, 341, 5157, 8079, 285, 274, 912, 672, 1820, 4433, 903, 27769, 341, 5157, 7481, 476, 1775, 815, 1775, 266, 272, 7531 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3116, 267, 950, 7142, 547, 1294, 621, 267, 649, 1265, 1085, 1901, 2998, 1846, 543, 9384, 4716, 9601, 563, 18455, 834, 514, 519, 4636, 1747, 257, 630, 27832, 532, 267, 22062, 725, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 3933, 560, 9317, 834, 8448, 3269, 607, 851, 540, 834, 11227, 1315, 20096, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 589, 7008, 540, 3275, 3516, 267, 594, 1336, 8885, 2620, 538, 6643, 693, 513, 5428, 950, 519, 1888, 5828, 2509, 7791, 1648, 2959, 269, 1306, 606, 11653, 2324, 538, 519, 2361, 267, 594, 729, 9599, 547, 2671, 1250, 1702, 827, 3859, 543, 2842, 1648, 267, 741, 3790, 543, 2640, 267, 543, 875, 789, 1223, 1118, 513, 3017, 538, 938, 4339, 1996, 2916, 1689, 269, 9741, 1705, 594, 917, 602, 1250, 15131, 1131, 1291, 803, 1524, 513, 15529, 8559, 540, 13395, 4690, 267, 6397, 23538, 267, 543, 6038, 267, 1582, 26190, 780, 257, 12441, 596, 917, 2437, 594, 3459, 267, 5466, 519, 1895, 267, 834, 7474, 3859, 8440, 723, 1044, 1472, 2094, 519, 3735, 476, 5197, 271, 338, 8119, 3733, 8284, 5428, 2998, 619, 22121, 1350, 1734, 1354, 835, 540, 873, 4280, 267, 834, 3725, 958, 286, 3973, 1946, 4769, 1405, 649, 9772, 873, 19692, 952, 789, 941, 11827, 865, 1279, 3516, 12482, 296, 6045, 267, 834, 11039, 267, 1394, 1287, 267, 789, 14201, 1405, 1360, 3608, 1107, 4952, 17596, 14143, 540, 2244, 1175, 547, 1379, 513, 2582, 1769, 15941, 256, 1809, 2221, 267, 7760, 538, 2029, 1450, 721, 547, 3132, 811, 1648, 1210, 1447, 2230, 1701, 901, 17275, 2417, 7279, 1851, 519, 19700, 267, 945, 4941, 547, 1451, 811, 827, 3859, 1648, 543, 922, 11218, 267, 2842, 1648, 269, 1924, 267, 594, 1642, 1386, 4514, 780, 257, 3383, 267, 1018, 798, 596, 1589, 568, 1732, 1063, 3859, 543, 2842, 1648, 8119, 1776, 1268, 844, 518, 1221, 269, 2311, 1101, 267, 594, 2219, 621, 729, 513, 2241, 2243, 267, 855, 2370, 1705, 594, 917, 602, 16460, 621, 1131, 1930, 17455, 7702, 781, 4216, 780, 4415, 6015, 267, 594, 3323, 17609, 1055, 519, 5294, 543, 931, 540, 1142, 1826, 540, 7791, 1648, 269, 1280, 3859, 1648, 267, 594, 5018, 602, 1247, 621, 2488, 513, 7791, 543, 10357, 7888, 1259, 547, 5352, 5201, 1510, 32749, 8511, 575, 13293, 267, 922, 1292, 2721, 3724, 6013, 538, 519, 13829, 593, 7943, 543, 519, 991, 585, 7850, 4859, 1949, 1813, 547, 15088, 538, 2504, 2429, 519, 1554, 780, 2026, 585, 2842, 1648, 267, 594, 26916, 922, 1970, 10512, 3790, 543, 3668, 540, 4492, 4616, 4170, 1247, 14344, 4145, 3823, 6846, 5533, 267, 3308, 1764, 267, 543, 1761, 2800, 547, 7320, 269, 1717, 267, 1919, 3576, 606, 6397, 2490, 950, 513, 16823, 954, 915, 539, 609, 25949, 267, 9870, 32071, 4900, 543, 19310, 1746, 669, 3089, 956, 689, 1866, 7404, 780, 30948, 798, 596, 1611, 1412, 13607, 1113, 2800, 547, 7320, 286, 262, 3657, 5017, 2731, 12955, 2451, 543, 1318, 1317, 540, 1346, 9649, 10178, 19059, 8119, 1352, 795, 12097, 267, 13288, 547, 519, 25337, 8305, 9189, 1419, 2404, 609, 2842, 11396, 780, 4462, 325, 18968, 676, 1200, 682, 6143, 267, 594, 15527, 12517, 267, 7713, 602, 6177, 28896, 3361, 676, 2842, 18434, 8197, 2049, 267, 23344, 711, 5176, 607, 4749, 607, 1004, 1522, 8263, 269, 769, 1249, 267, 2090, 1397, 602, 5656, 267, 6517, 267, 543, 2792, 20610, 10460, 2484, 3152, 6937, 547, 26624, 1272, 982, 2842, 18434, 269, 11048, 267, 594, 15861, 602, 4466, 2081, 547, 7413, 891, 5222, 3788, 2629, 1369, 519, 2872, 780, 1607, 5872, 3366, 547, 606, 19347, 4901, 827, 2825, 1143, 267, 5726, 3646, 267, 543, 519, 1909, 3425, 1404, 538, 8497, 2470, 269, 2290, 1367, 1256, 21334, 539, 1010, 2648, 585, 10655, 21305, 2234, 3930, 543, 13321, 873, 883, 5100, 10529, 13324, 9003, 998, 4244, 1648, 2959, 269, 1261, 23217, 10268, 5961, 540, 1010, 13144, 267, 799, 16668, 3154, 1186, 540, 25621, 4553, 676, 17409, 607, 14538, 14952, 539, 693, 1312, 519, 27265, 543, 844, 25184, 1465, 540, 519, 1788, 780, 3719, 9624, 782, 519, 1434, 5991, 25733, 7333, 614, 267, 1945, 7096, 7153, 689, 938, 6643, 269, 1284, 7691, 602, 4352, 9840, 4478, 7791, 19367, 949, 3100, 18447, 543, 1950, 267, 8723, 2043, 899, 6000, 3180, 10373, 1761, 547, 3565, 9797, 547, 519, 1604, 269, 1635, 8508, 2189, 18653, 543, 6220, 4264, 2853, 883, 4948, 2729, 267, 1927, 649, 1106, 851, 540, 513, 7104, 3350, 20678, 2509, 513, 22928, 2104, 780, 1103, 3932, 267, 7234, 7791, 1648, 2959, 693, 513, 1514, 11018, 7960, 883, 513, 17175, 5385, 540, 2093, 267, 2833, 267, 543, 4030, 269, 2755, 7620, 2519, 593, 519, 3604, 1063, 3859, 543, 2842, 1648, 267, 938, 5188, 9450, 547, 7854, 6626, 4798, 540, 8733, 5539, 267, 5876, 267, 543, 5647, 269, 3414, 713, 1995, 267, 594, 6591, 513, 4195, 7071, 585, 519, 1379, 540, 4687, 1702, 267, 5807, 4296, 267, 543, 14120, 23349, 18697, 910, 782, 1883, 3334, 538, 5935, 513, 17321, 14182, 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, 2491, 519, 1114, 2010, 540, 7791, 1648, 2959, 543, 741, 9757, 3790, 543, 2640, 888, 8133, 267, 594, 666, 2491, 519, 1114, 2010, 540, 7791, 1648, 2959, 543, 741, 9757, 3790, 543, 2640, 269, 8528, 272, 269, 9891, 6052, 281, 8528, 23530, 1648, 568, 513, 7791, 1648, 2707, 602, 3096, 7943, 547, 5352, 5201, 269, 898, 814, 1896, 2640, 267, 971, 607, 281, 8528, 268, 898, 781, 513, 7791, 2707, 540, 1648, 602, 3085, 1405, 12520, 8511, 9362, 563, 268, 898, 666, 581, 8704, 3592, 9170, 267, 607, 1279, 607, 972, 568, 6190, 7943, 563, 268, 634, 5826, 3790, 616, 8766, 267, 543, 519, 1062, 666, 2063, 585, 909, 547, 476, 1789, 1296, 780, 4913, 267, 621, 849, 814, 513, 1906, 19363, 281, 8528, 268, 634, 3355, 1942, 540, 10380, 568, 5266, 1164, 563, 268, 898, 781, 1152, 2139, 1282, 519, 1554, 267, 543, 922, 3977, 568, 4299, 676, 4365, 2175, 563, 268, 634, 1648, 4859, 4390, 568, 3908, 780, 273, 269, 6489, 6052, 281, 8528, 20360, 1648, 3096, 2842, 18434, 547, 5352, 5201, 269, 898, 814, 1896, 2640, 267, 1519, 281, 8528, 268, 898, 781, 513, 7791, 543, 2973, 2707, 540, 1648, 563, 268, 898, 781, 1942, 15807, 538, 9232, 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, 17138, 281, 1215, 547, 5269, 513, 24635, 720, 23688, 656, 715, 514, 10937, 25725, 8779, 2541, 692, 7072, 912, 763, 24635, 720, 23688, 656, 715, 514, 10937, 570, 4669, 956, 630, 26774, 18199, 264, 616, 2185, 14070, 7141, 3042, 10236, 25806, 16015, 945, 941, 8036, 676, 741, 2631, 328, 267, 9457, 590, 680, 5793, 267, 538, 519, 1148, 540, 562, 514, 329, 7491, 340, 269, 1358, 9846, 6370, 9409, 4229, 971, 607, 1744, 1042, 1457, 543, 1010, 14272, 1849, 534, 269, 3962, 14854, 31273, 513, 1114, 11954, 9633, 936, 922, 4064, 267, 799, 5713, 547, 10646, 873, 689, 835, 1776, 269, 901, 2376, 786, 3391, 596, 998, 2870, 707, 1378, 18789, 24635, 720, 23688, 656, 715, 514, 10937, 25725, 28076, 269, 8528, 29605, 10261, 539, 912, 272, 269, 5682, 13938, 903, 3726, 610, 3039, 4418, 1846, 327, 7398, 1299, 27890, 1305, 454, 273, 269, 674, 27961, 9212, 630, 514, 1585, 4778, 994, 274, 269, 12182, 15441, 7784, 1299, 16853, 454, 275, 269, 7780, 1006, 17180, 610, 23805, 454, 276, 269, 21642, 610, 13412, 6512, 454, 277, 269, 25732, 11746, 454, 278, 269, 9315, 4580, 4216, 630, 1721, 7387, 994, 279, 269, 24484, 630, 2181, 2536, 2406, 10936, 5862, 585, 606, 1256, 9096, 994, 280, 269, 15026, 17074, 585, 13968, 543, 9604, 454, 1015, 269, 10361, 7171, 454, 272, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 13014, 513, 24635, 720, 23688, 656, 715, 514, 10937, 570, 4669, 956, 8779, 2541, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 5353, 629, 1941, 2488, 606, 16286, 593, 1283, 540, 32287, 1477, 7474, 3091, 521, 2033, 5079, 585, 4729, 2511, 543, 2681, 9949, 338, 267, 11225, 2241, 21506, 14683, 7400, 3252, 585, 1455, 8579, 4729, 2010, 267, 543, 26779, 609, 519, 21506, 10818, 1275, 3177, 676, 17455, 553, 4578, 293, 29707, 23228, 18851, 5897, 5814, 21267, 28272, 607, 12301, 1477, 10823, 269, 5882, 269, 2224, 3488, 5035, 545, 20298, 5814, 11885, 607, 5286, 24653, 258, 1530, 629, 1941, 12411, 639, 32287, 1477, 258, 8073, 930, 1239, 1477, 337, 978, 815, 5286, 20179, 10611, 24655, 13750, 263, 271, 3418, 343, 815, 5286, 7456, 1231, 10628, 263, 271, 267, 476, 1015, 267, 476, 4335, 3418, 344, 815, 5286, 6983, 4548, 636, 16868, 978, 20120, 333, 263, 4335, 267, 476, 277, 1070, 476, 271, 10142, 258, 18140, 519, 1239, 609, 32287, 9949, 338, 1477, 10823, 19502, 3287, 267, 586, 3418, 10823, 269, 5586, 754, 3488, 5723, 7374, 9128, 3299, 562, 3712, 284, 273, 267, 1327, 8782, 21639, 2451, 262, 5148, 1477, 10823, 26644, 2891, 10574, 538, 32287, 779, 9949, 2511, 14744, 5897, 5814, 26026, 1941, 607, 521, 985, 1477, 338, 985, 15630, 14052, 10823, 8807, 2682, 14052, 258, 1482, 28321, 3009, 607, 1657, 256, 1477, 10823, 19502, 3287, 267, 586, 3418, 10823, 269, 5586, 754, 3488, 5723, 7374, 9128, 3299, 562, 3712, 284, 273, 267, 1327, 8782, 21639, 2451, 262, 5148, 1477, 10823, 26644, 2891, 10574, 538, 1530, 629, 1941, 779, 9949, 2511, 257, 10142, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 19340, 532, 543, 14253, 532, 593, 513, 11638, 19340, 568, 2966, 547, 581, 16022, 267, 543, 621, 1477, 3559, 1186, 952, 596, 1589, 827, 519, 17523, 607, 3773, 7516, 23228, 18851, 5897, 5814, 21795, 607, 19073, 1477, 5814, 11885, 607, 5286, 5897, 2745, 3488, 11372, 17586, 4994, 539, 10022, 20298, 8161, 815, 1496, 3488, 30210, 3299, 476, 1220, 271, 1070, 18011, 30210, 3299, 476, 1001, 271, 1070, 1477, 1363, 18011, 6124, 3840, 3299, 476, 1220, 271, 1070, 18011, 6124, 3840, 3299, 476, 1001, 271, 1070, 1477, 1363, 18011, 307, 1410, 553, 3299, 476, 1220, 271, 1070, 18011, 307, 1410, 553, 3299, 476, 1001, 271, 13580, 1477, 16647, 2827, 815, 1496, 24783, 278, 1626, 4366, 267, 476, 4391, 273, 276, 4375, 6321, 267, 476, 6245, 278, 5038, 6872, 267, 476, 4350, 4281, 272, 6349, 267, 476, 21172, 276, 1240, 736, 267, 476, 25172, 3393, 276, 8618, 15947, 16647, 815, 19073, 2529, 7685, 9638, 641, 2827, 267, 4994, 284, 8161, 3418, 8161, 815, 19073, 8160, 738, 328, 19340, 269, 5228, 4671, 340, 1255, 263, 8161, 267, 4408, 284, 3488, 13750, 3299, 1412, 17413, 10807, 3418, 16647, 815, 1402, 18622, 8161, 263, 8161, 3418, 2745, 9638, 641, 3418, 2745, 3488, 2171, 666, 1569, 630, 30210, 267, 1220, 271, 264, 1239, 676, 4994, 532, 609, 2789, 2474, 281, 20298, 2745, 9638, 641, 9131, 30210, 3299, 476, 1220, 271, 316, 10142, 258, 634, 11638, 19340, 849, 7028, 9864, 4994, 532, 267, 610, 4994, 532, 1175, 835, 540, 519, 21506, 258, 2157, 538, 519, 4994, 23228, 2745, 3488, 2171, 666, 1569, 4993, 1239, 676, 9864, 4994, 532, 281, 20298, 2745, 9638, 641, 9131, 30210, 11172, 3418, 2745, 3488, 8512, 658, 14253, 532, 568, 2139, 607, 1134, 267, 607, 1279, 607, 519, 11638, 19340, 568, 15044, 20298, 2745, 9638, 641, 7456, 665, 9131, 30210, 9166, 262, 6124, 3840, 262, 8079, 1948, 1402, 269, 559, 665, 314, 271, 281, 273, 316, 1948, 16647, 7456, 665, 11468, 262, 6124, 3840, 11172, 1477, 258, 2060, 15044, 17523, 267, 649, 666, 1685, 9864, 4994, 532, 593, 2539, 2157, 676, 21506, 258, 8429, 606, 8900, 20105, 538, 519, 1101, 4994, 6769, 2745, 3488, 19340, 532, 593, 519, 2539, 2157, 1210, 8900, 21100, 538, 519, 476, 272, 560, 4994, 281, 20298, 2745, 9638, 641, 18020, 476, 1220, 271, 29573, 2745, 3488, 5353, 3005, 1759, 593, 29491, 631, 2532, 281, 20298, 2745, 9638, 641, 314, 16647, 3436, 476, 13136, 1822, 876, 29573, 2745, 3488, 5353, 3005, 1759, 593, 674, 3599, 12039, 532, 281, 20298, 2745, 9638, 641, 314, 9131, 30210, 3299, 1412, 307, 1410, 553, 11172, 29573, 2745, 3488, 262, 10142, 2745, 3488, 11372, 17586, 12039, 539, 4578, 293, 29707, 20298, 258, 589, 9062, 4994, 539, 4578, 20988, 31136, 538, 513, 2147, 6073, 23228, 8161, 815, 19073, 8160, 738, 328, 19340, 269, 5228, 7272, 6055, 31912, 1001, 274, 267, 476, 1001, 275, 3910, 1496, 272, 267, 476, 273, 316, 3910, 1477, 12849, 284, 9131, 20204, 3299, 1412, 6665, 527, 11172, 3418, 3712, 8435, 815, 19073, 8160, 738, 328, 19340, 269, 5228, 7272, 6055, 8443, 9131, 7692, 3299, 1412, 10817, 18480, 3299, 1412, 306, 826, 28710, 21506, 23351, 18358, 16281, 3299, 1412, 307, 11391, 11172, 3910, 4408, 284, 9131, 11357, 915, 3299, 1412, 6943, 11172, 10142, 11907, 815, 5286, 269, 1037, 18828, 20179, 20120, 333, 263, 275, 267, 476, 277, 1070, 476, 272, 3418, 11907, 18020, 26012, 273, 316, 2608, 284, 476, 1015, 1477, 11907, 6834, 476, 4391, 1477, 8234, 12774, 815, 19073, 6185, 1092, 20988, 16597, 267, 4994, 284, 8161, 267, 9587, 284, 3712, 8435, 3418, 2745, 3488, 10890, 4578, 281, 20298, 2745, 263, 8234, 12774, 3418, 2745, 3488, 20298, 2745, 3488, 10817, 18480, 32075, 338, 18323, 4578, 281, 20298, 2745, 263, 8234, 12774, 9131, 10817, 18480, 3299, 1412, 307, 11391, 262, 8079, 258, 306, 997, 532, 10842, 334, 781, 2837, 1239, 262, 1477, 2745, 3488, 20298, 2745, 3488, 7692, 32075, 338, 15679, 543, 18323, 4578, 1210, 1547, 32643, 314, 13912, 20298, 2745, 263, 8234, 12774, 269, 559, 665, 11468, 273, 267, 2433, 273, 29573, 2745, 3488, 20298, 258, 1452, 4994, 619, 1683, 606, 5044, 6438, 2070, 540, 519, 5817, 1079, 8820, 21506, 258, 1239, 267, 855, 1142, 1367, 4994, 538, 1327, 610, 24924, 665, 666, 581, 5293, 513, 24042, 540, 21506, 258, 2789, 17523, 23228, 2745, 3488, 7692, 32075, 338, 15679, 4578, 1210, 1547, 32643, 26514, 543, 24042, 540, 17523, 281, 20298, 2745, 263, 8234, 12774, 7456, 665, 18020, 18011, 7692, 3299, 1412, 16281, 10807, 29573, 2745, 3488, 20298, 258, 1411, 1223, 1205, 1472, 713, 676, 2679, 519, 5551, 20105, 12799, 1477, 258, 1635, 1210, 519, 12039, 20228, 823, 1843, 23228, 30915, 815, 19073, 269, 19340, 20228, 823, 1477, 2745, 3488, 16966, 532, 3461, 32075, 338, 15679, 4578, 1210, 12039, 20228, 823, 281, 20298, 2745, 263, 8234, 12774, 7456, 665, 314, 30915, 18020, 476, 272, 3910, 7329, 343, 18020, 1412, 16281, 11172, 8079, 1948, 306, 997, 532, 519, 4737, 609, 513, 1871, 21506, 258, 540, 476, 272, 543, 513, 6241, 609, 15679, 1239, 269, 5897, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 3080, 540, 519, 10569, 547, 2324, 609, 9062, 4994, 539, 1239, 568, 6616, 875, 547, 3927, 1477, 10520, 845, 519, 1239, 269, 1703, 616, 811, 2081, 547, 29656, 1852, 519, 30337, 618, 540, 1239, 1477, 24992, 14837, 531, 17523, 543, 9587, 11735, 689, 10518, 3890, 543, 13417, 871, 14061, 1477, 18851, 24653, 5814, 21795, 607, 19073, 1477, 5814, 11885, 607, 5286, 5897, 2745, 3488, 6624, 540, 519, 11638, 19340, 14253, 532, 4238, 786, 3111, 952, 519, 4994, 568, 711, 15044, 9538, 3418, 8161, 815, 19073, 8160, 738, 328, 19340, 269, 5228, 7272, 6055, 8443, 9131, 320, 3299, 1412, 322, 3299, 1412, 321, 28710, 1496, 272, 267, 476, 273, 14963, 3418, 11907, 815, 19073, 2529, 7685, 18828, 20179, 20120, 263, 277, 1070, 4994, 284, 8161, 3418, 11907, 28827, 8542, 1868, 815, 18358, 10420, 3299, 1412, 842, 11172, 1477, 2745, 3488, 306, 7685, 4578, 281, 262, 476, 3418, 2745, 16597, 3418, 2745, 3488, 13286, 4386, 950, 3257, 1239, 24560, 262, 320, 315, 9166, 32075, 321, 315, 11172, 2094, 519, 1239, 568, 711, 15044, 256, 20298, 258, 1280, 1585, 4128, 267, 9864, 21100, 543, 824, 2147, 4238, 1477, 258, 2154, 519, 2157, 538, 519, 11638, 19340, 547, 581, 538, 15044, 1477, 2745, 3488, 20298, 258, 17455, 553, 2488, 513, 1297, 540, 13418, 13467, 547, 1685, 18570, 282, 1477, 258, 971, 607, 4990, 16229, 3890, 543, 4990, 24038, 3890, 2409, 540, 519, 4578, 20988, 23228, 2745, 3488, 306, 15659, 519, 4994, 1210, 4990, 16229, 263, 2567, 20298, 11907, 815, 1239, 31699, 16229, 14052, 2745, 16597, 3418, 2745, 3488, 4415, 519, 15044, 4994, 267, 649, 666, 1631, 3489, 519, 9864, 20105, 540, 519, 1239, 281, 20298, 2745, 16597, 9131, 320, 9166, 262, 321, 11172, 3418, 2745, 3488, 262, 10142, 2745, 3488, 1805, 22326, 543, 13417, 22326, 17523, 20298, 258, 898, 568, 2009, 547, 6460, 513, 10471, 689, 513, 30528, 3818, 268, 8161, 1477, 258, 547, 513, 2241, 1079, 8820, 6041, 4781, 958, 28408, 519, 1377, 21506, 258, 547, 946, 6769, 8161, 815, 1496, 3488, 30210, 3299, 476, 1220, 271, 1070, 18011, 30210, 3299, 476, 1001, 271, 1070, 1477, 1363, 18011, 6124, 3840, 3299, 476, 1220, 271, 1070, 18011, 6124, 3840, 3299, 476, 1001, 271, 1070, 1477, 1363, 18011, 307, 1410, 553, 3299, 476, 1220, 271, 1070, 18011, 307, 1410, 553, 3299, 476, 1001, 271, 13580, 1477, 16647, 2827, 815, 1496, 24783, 278, 1626, 4366, 267, 476, 4391, 273, 276, 4375, 6321, 267, 476, 6245, 278, 5038, 6872, 267, 476, 4350, 4281, 272, 6349, 267, 476, 21172, 276, 1240, 736, 267, 476, 25172, 3393, 276, 8618, 15947, 16647, 815, 19073, 2529, 7685, 9638, 641, 2827, 267, 4994, 284, 8161, 3418, 8161, 815, 19073, 8160, 738, 328, 19340, 269, 5228, 4671, 340, 1255, 263, 8161, 267, 4408, 284, 3488, 13750, 3299, 1412, 17413, 10807, 3418, 16647, 815, 1402, 18622, 8161, 263, 8161, 3418, 2745, 9638, 641, 3418, 2745, 3488, 4462, 560, 22326, 693, 1377, 476, 271, 281, 20298, 2745, 9638, 641, 26509, 23637, 263, 24038, 284, 271, 17903, 2745, 3488, 4462, 560, 22326, 693, 1377, 476, 272, 281, 20298, 2745, 9638, 641, 26509, 23637, 263, 24038, 284, 272, 17903, 2745, 3488, 20298, 258, 634, 6587, 540, 13417, 871, 3890, 568, 10518, 19572, 799, 1934, 666, 581, 1031, 547, 9156, 21506, 258, 519, 3312, 3126, 6769, 2745, 3488, 13434, 1478, 532, 519, 3312, 1239, 1210, 10518, 3890, 20298, 2745, 9638, 641, 26509, 23637, 14061, 23637, 3890, 3418, 2745, 3488, 262, 10142, 2745, 3488, 19340, 4259, 543, 19268, 1154, 1210, 19268, 16229, 1505, 281, 20298, 258, 6271, 1259, 547, 30337, 21712, 1239, 568, 547, 2490, 519, 4994, 10297, 883, 1477, 258, 9587, 282, 713, 666, 581, 12913, 609, 519, 19268, 16229, 1505, 1477, 16647, 318, 29788, 815, 1402, 269, 637, 564, 16229, 28442, 8782, 28134, 20298, 2745, 9638, 641, 318, 29788, 10142, 2745, 9638, 641, 318, 29788, 15630, 16229, 8443, 262, 13750, 3299, 1412, 17413, 262, 8079, 10142, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 763, 1034, 3551, 1259, 547, 4020, 513, 9062, 4994, 539, 10022, 610, 4578, 20988, 1477, 529, 547, 3274, 1780, 513, 1592, 540, 1079, 610, 811, 4994, 14249, 547, 519, 4020, 528, 23228, 18851, 1477, 5814, 11885, 607, 5286, 1477, 5814, 21795, 607, 19073, 5897, 4206, 815, 19073, 6185, 1092, 20988, 18828, 20179, 20120, 263, 275, 267, 476, 273, 1070, 1477, 8161, 17342, 9131, 320, 3299, 1412, 320, 3299, 1412, 321, 3299, 1412, 321, 28710, 1496, 272, 267, 476, 273, 267, 476, 272, 267, 476, 273, 316, 3910, 1477, 3712, 8435, 284, 9131, 11907, 272, 3299, 1412, 11907, 273, 11172, 3418, 2745, 3488, 10574, 20988, 2813, 1210, 513, 1592, 540, 4994, 539, 14249, 281, 20298, 2745, 29254, 3418, 2745, 3488, 262, 10142, 258, 6684, 267, 952, 596, 1780, 513, 8675, 609, 3617, 8913, 1255, 607, 10569, 267, 21506, 258, 17455, 553, 786, 8850, 5431, 713, 543, 946, 513, 11638, 19340, 676, 9949, 281, 5897, 2745, 3488, 306, 7685, 4578, 609, 16515, 1255, 607, 32368, 281, 20298, 11907, 815, 2715, 3488, 30210, 3299, 476, 1220, 271, 2567, 476, 24783, 278, 1626, 4366, 267, 1477, 3488, 30210, 3299, 476, 1001, 271, 2567, 476, 4391, 273, 276, 4375, 6321, 267, 1477, 3488, 307, 1410, 553, 3299, 476, 1220, 271, 2567, 476, 21172, 276, 1240, 736, 267, 1477, 3488, 307, 1410, 553, 3299, 476, 1001, 271, 2567, 476, 25172, 3393, 276, 8618, 267, 1477, 3488, 6124, 3840, 3299, 476, 1220, 271, 2567, 476, 6245, 278, 5038, 6872, 267, 1477, 3488, 6124, 3840, 3299, 476, 1001, 271, 2567, 476, 4350, 4281, 272, 6349, 348, 1477, 2745, 9638, 323, 2529, 7685, 16597, 264, 10142, 332, 20687, 815, 1412, 2750, 14032, 11638, 19340, 4020, 832, 262, 1477, 2745, 9852, 20687, 269, 21639, 3890, 3418, 2745, 3488, 17730, 11638, 19340, 689, 513, 2241, 1592, 540, 14249, 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 ]
[ 634, 1612, 21966, 1355, 568, 4646, 676, 2847, 6295, 519, 26484, 1858, 1472, 519, 1535, 7852, 269, 14419, 519, 8953, 540, 14934, 1674, 737, 1535, 1547, 634, 5860, 540, 519, 1570, 568, 533, 815, 476, 276, 27002, 8276, 476, 274, 1547, 25663, 28513, 546, 332, 815, 533, 476, 6507, 586, 476, 272, 15848, 815, 533, 621, 630, 2004, 343, 264, 15848, 535, 9745, 910, 744, 300, 333, 476, 275, 815, 1315, 589, 3436, 262, 476, 273, 546, 332, 815, 533, 476, 278, 337, 623, 476, 278, 307, 476, 2004, 270, 9625, 273, 476, 2004, 476, 273, 476, 277, 476, 272, 579, 476, 6344, 271, 476, 2004, 1535, 630, 339, 512, 533, 630, 2004, 343, 14587, 15848, 1547, 274, 630, 1220, 264, 476, 274, 476, 271, 1315, 1315, 1892, 1220, 546, 332, 815, 1315, 476, 6507, 533, 630, 2004, 343, 264, 15848, 476, 6344, 271, 815, 533, 476, 6507, 630, 2004, 264, 476, 272, 910, 2443, 678, 1990, 476, 273, 815, 623, 21508, 351, 630, 586, 3738, 263, 1220, 264, 808, 302, 2073, 273, 737, 1535, 815, 808, 594, 910, 22144, 284, 808, 1765, 630, 1220, 264, 815, 476, 6872, 269, 278, 6515, 966, 544, 966, 476, 274, 966, 5775, 269, 5775, 281, 737, 1535, 815, 476, 6872, 269, 278, 6515, 476, 8064, 275, 9736, 476, 1001, 277, 21942, 4065, 267, 5549, 1421, 16592, 590, 18150, 5211, 267, 27359, 269, 2353, 2924, 11603, 269, 901, 1570, 568, 6870, 896, 782, 10677, 4031, 607, 789, 4867, 2291, 269, 3143, 6712, 540, 713, 1570, 949, 581, 25735, 267, 538, 1022, 1106, 610, 676, 1022, 1797, 267, 1510, 10479, 538, 1603, 689, 519, 17404, 269, 476, 1704, 268, 276, 269, 14419, 519, 8953, 540, 14934, 1674, 737, 1535, 540, 519, 1560, 269, 634, 1808, 2597, 540, 519, 1570, 568, 586, 815, 476, 23884, 18470, 270, 1111, 476, 274, 1547, 25663, 28513, 546, 332, 546, 594, 1535, 554, 544, 737, 1535, 19073, 309, 815, 533, 2521, 476, 273, 15848, 476, 273, 630, 323, 332, 264, 586, 476, 273, 815, 910, 527, 267, 7510, 476, 275, 15848, 476, 272, 2443, 476, 278, 570, 29210, 476, 31979, 15848, 815, 476, 10436, 269, 1704, 335, 8206, 3352, 29210, 476, 273, 270, 274, 15848, 815, 476, 2568, 269, 3953, 335, 1315, 476, 10436, 269, 1704, 335, 966, 476, 2568, 269, 3953, 335, 476, 272, 269, 736, 538, 269, 586, 5775, 269, 5775, 281, 737, 1535, 815, 476, 272, 269, 736, 538, 269, 476, 278, 4817, 9736, 476, 1001, 277, 21942, 4065, 267, 5549, 1421, 16592, 590, 18150, 5211, 267, 27359, 269, 2353, 2924, 11603, 269, 901, 1570, 568, 6870, 896, 782, 10677, 4031, 607, 789, 4867, 2291, 269, 3143, 6712, 540, 713, 1570, 949, 581, 25735, 267, 538, 1022, 1106, 610, 676, 1022, 1797, 267, 1510, 10479, 538, 1603, 689, 519, 17404, 269, 476, 8064, 277, 9736, 476, 1001, 277, 21942, 4065, 267, 5549, 1421, 16592, 590, 18150, 5211, 267, 27359, 269, 2353, 2924, 11603, 269, 901, 1570, 568, 6870, 896, 782, 10677, 4031, 607, 789, 4867, 2291, 269, 3143, 6712, 540, 713, 1570, 949, 581, 25735, 267, 538, 1022, 1106, 610, 676, 1022, 1797, 267, 1510, 10479, 538, 1603, 689, 519, 17404, 269, 476, 1704, 268, 278, 269, 634, 2927, 560, 636, 568, 4646, 676, 15914, 519, 26484, 1858, 1472, 519, 1535, 7852, 269, 14419, 519, 4090, 540, 24880, 594, 1535, 543, 2769, 519, 1267, 538, 2474, 540, 519, 2698, 2527, 544, 540, 519, 2927, 560, 636, 269, 634, 2927, 560, 636, 814, 513, 3586, 5860, 533, 269, 25663, 28513, 2073, 1315, 321, 476, 273, 2073, 476, 273, 536, 476, 273, 546, 332, 2443, 533, 546, 309, 815, 533, 5500, 15848, 815, 5102, 2443, 344, 343, 337, 476, 275, 268, 1535, 1341, 536, 795, 11459, 546, 331, 1535, 815, 2443, 546, 3240, 476, 273, 815, 2443, 335, 2521, 476, 275, 15848, 630, 16123, 510, 320, 1775, 288, 476, 277, 536, 8072, 670, 268, 273, 476, 275, 910, 311, 476, 273, 1341, 476, 275, 536, 476, 275, 910, 343, 1341, 536, 476, 275, 3738, 322, 561, 343, 1166, 476, 273, 513, 476, 275, 589, 476, 275, 327, 476, 275, 522, 476, 277, 536, 476, 275, 476, 278, 476, 275, 536, 476, 275, 561, 265, 1341, 513, 1341, 2443, 586, 349, 311, 349, 1341, 513, 513, 476, 4029, 476, 5038, 815, 2443, 335, 4275, 321, 535, 2073, 535, 630, 321, 476, 273, 476, 273, 476, 2641, 267, 273, 579, 273, 315, 329, 476, 278, 2073, 273, 1315, 546, 332, 815, 533, 22721, 1315, 594, 1765, 586, 311, 2108, 670, 268, 1535, 1341, 536, 3738, 11459, 2443, 2443, 533, 4275, 321, 808, 332, 808, 271, 476, 274, 476, 6734, 594, 1535, 815, 2443, 544, 321, 476, 273, 1535, 476, 3583, 5775, 269, 5775, 281, 476, 11152, 594, 1535, 815, 2443, 544, 321, 476, 273, 1535, 476, 3583, 476, 8064, 278, 9736, 476, 1001, 277, 21942, 4065, 267, 5549, 1421, 16592, 590, 18150, 5211, 267, 27359, 269, 2353, 2924, 11603, 269, 901, 1570, 568, 6870, 896, 782, 10677, 4031, 607, 789, 4867, 2291, 269, 3143, 6712, 540, 713, 1570, 949, 581, 25735, 267, 538, 1022, 1106, 610, 676, 1022, 1797, 267, 1510, 10479, 538, 1603, 689, 519, 17404, 269, 2608, 1704, 268, 279, 269, 634, 21571, 568, 4646, 676, 15914, 519, 26484, 1858, 1472, 519, 586, 7852, 269, 14419, 519, 4090, 540, 24880, 561, 586, 543, 2769, 519, 1267, 538, 2474, 540, 519, 2698, 2527, 544, 540, 519, 21571, 269, 634, 1570, 814, 513, 3586, 5860, 533, 269, 25663, 28513, 544, 815, 533, 546, 309, 815, 533, 1315, 476, 278, 512, 1535, 476, 273, 10085, 815, 19266, 594, 630, 337, 476, 273, 2443, 586, 476, 273, 3738, 11276, 808, 341, 11835, 11835, 533, 278, 307, 678, 586, 9625, 476, 274, 586, 910, 335, 278, 307, 678, 8206, 344, 815, 1315, 561, 630, 323, 332, 264, 1535, 1990, 815, 594, 476, 6507, 1535, 265, 11276, 815, 594, 630, 678, 1990, 910, 586, 561, 535, 10085, 533, 278, 307, 678, 586, 910, 476, 274, 9732, 1892, 678, 1341, 476, 276, 11835, 476, 275, 335, 6507, 476, 1428, 4935, 267, 594, 642, 815, 2443, 544, 678, 9745, 1535, 476, 273, 1341, 586, 476, 272, 815, 678, 476, 273, 476, 272, 9745, 268, 5775, 269, 966, 5775, 281, 476, 278, 7176, 9736, 476, 1001, 277, 21942, 4065, 267, 5549, 1421, 16592, 590, 18150, 5211, 267, 27359, 269, 2353, 2924, 11603, 269, 901, 1570, 568, 6870, 896, 782, 10677, 4031, 607, 789, 4867, 2291, 269, 3143, 6712, 540, 713, 1570, 949, 581, 25735, 267, 538, 1022, 1106, 610, 676, 1022, 1797, 267, 1510, 10479, 538, 1603, 689, 519, 17404, 269, 476, 1704, 268, 280, 269, 14419, 519, 4090, 540, 24880, 540, 519, 24267, 21083, 24388, 609, 2463, 547, 519, 586, 7852, 269, 18124, 519, 1267, 538, 2474, 540, 519, 2527, 544, 540, 519, 24388, 269, 670, 842, 281, 1280, 5610, 267, 946, 6094, 6676, 2609, 6252, 547, 519, 1535, 3917, 7077, 543, 2348, 513, 11098, 546, 345, 269, 25663, 28513, 546, 309, 815, 536, 343, 546, 345, 2443, 536, 5416, 7565, 476, 272, 2443, 2443, 264, 546, 345, 554, 546, 331, 586, 815, 546, 331, 586, 1341, 630, 546, 332, 25011, 263, 317, 264, 476, 273, 1341, 1990, 476, 273, 9948, 476, 272, 476, 278, 1535, 476, 273, 815, 2443, 546, 332, 3287, 476, 273, 3738, 1341, 546, 332, 263, 1765, 264, 1341, 546, 332, 345, 476, 273, 815, 546, 332, 263, 586, 1341, 1990, 476, 273, 3738, 815, 1496, 261, 263, 4148, 7565, 331, 11219, 264, 283, 10623, 28488, 335, 25011, 344, 10857, 11219, 264, 476, 273, 1341, 1990, 476, 273, 7684, 8206, 344, 815, 705, 335, 329, 317, 1496, 344, 630, 349, 344, 317, 264, 476, 274, 1341, 2098, 9745, 476, 272, 9625, 815, 705, 1773, 1111, 325, 630, 327, 476, 275, 910, 1422, 554, 476, 275, 1341, 9625, 1422, 554, 9745, 1341, 1422, 630, 347, 6902, 1412, 476, 275, 968, 1422, 536, 476, 275, 3738, 316, 1422, 815, 2443, 705, 327, 335, 5416, 476, 273, 1341, 554, 476, 273, 3738, 544, 815, 533, 309, 815, 2443, 705, 327, 335, 1990, 2473, 4935, 267, 554, 544, 630, 320, 476, 273, 1341, 554, 476, 273, 3738, 5775, 269, 5775, 281, 962, 312, 331, 1315, 2999, 276, 594, 586, 815, 586, 630, 1166, 273, 1341, 536, 476, 273, 3738, 476, 278, 4200, 9736, 476, 1001, 277, 21942, 4065, 267, 5549, 1421, 16592, 590, 18150, 5211, 267, 27359, 269, 2353, 2924, 11603, 269, 901, 1570, 568, 6870, 896, 782, 10677, 4031, 607, 789, 4867, 2291, 269, 3143, 6712, 540, 713, 1570, 949, 581, 25735, 267, 538, 1022, 1106, 610, 676, 1022, 1797, 267, 1510, 10479, 538, 1603, 689, 519, 17404, 269, 476, 1704, 910, 476, 1015, 1547, 634, 28764, 5161, 540, 513, 476, 275, 10275, 326, 9764, 6676, 543, 513, 476, 273, 10275, 326, 28795, 11425, 269, 14419, 519, 8953, 540, 14934, 1674, 540, 519, 28764, 827, 606, 7852, 13902, 547, 519, 2985, 543, 8429, 998, 1448, 744, 269, 25663, 28513, 4635, 519, 6252, 7852, 11532, 676, 13288, 547, 8431, 269, 513, 267, 594, 336, 476, 273, 263, 270, 326, 1341, 544, 323, 476, 273, 3738, 9745, 263, 476, 273, 3738, 263, 476, 273, 476, 273, 3738, 1341, 476, 273, 630, 476, 272, 476, 273, 3738, 1341, 1775, 263, 275, 7565, 271, 269, 276, 476, 273, 3738, 1341, 476, 275, 263, 273, 269, 276, 476, 273, 3738, 815, 476, 2764, 269, 1704, 4846, 2173, 476, 273, 4935, 267, 519, 8953, 540, 14934, 1674, 568, 32748, 815, 1315, 349, 2764, 307, 278, 349, 966, 476, 275, 1341, 476, 273, 815, 476, 273, 269, 15757, 544, 815, 476, 273, 269, 1704, 544, 5775, 281, 737, 476, 271, 815, 476, 273, 269, 1704, 544, 476, 8517, 9736, 476, 1001, 277, 21942, 4065, 267, 5549, 1421, 16592, 590, 18150, 5211, 267, 27359, 269, 2353, 2924, 11603, 269, 901, 1570, 568, 6870, 896, 782, 10677, 4031, 607, 789, 4867, 2291, 269, 3143, 6712, 540, 713, 1570, 949, 581, 25735, 267, 538, 1022, 1106, 610, 676, 1022, 1797, 267, 1510, 10479, 538, 1603, 689, 519, 17404, 269, 476, 1704, 910, 476, 1556, 1547, 634, 10198, 568, 1500, 540, 519, 28795, 22203, 602, 723, 513, 2527, 829, 1770, 3259, 540, 476, 274, 4846, 8276, 269, 14419, 519, 2527, 4090, 540, 24880, 540, 519, 10198, 827, 606, 7852, 13902, 547, 519, 2985, 543, 8429, 998, 1448, 744, 269, 476, 271, 269, 279, 544, 744, 476, 271, 269, 275, 544, 2443, 25663, 28513, 4635, 519, 6252, 7852, 11532, 676, 13288, 547, 8431, 269, 513, 2073, 476, 275, 285, 815, 590, 263, 270, 717, 1341, 544, 323, 476, 273, 3738, 815, 2715, 349, 314, 274, 263, 272, 269, 273, 13580, 630, 331, 269, 273, 476, 273, 3738, 1341, 1496, 476, 274, 263, 272, 269, 273, 13580, 630, 271, 269, 273, 476, 273, 3738, 348, 1341, 2715, 317, 314, 476, 274, 263, 271, 269, 275, 13580, 630, 271, 269, 275, 476, 273, 3738, 1341, 1496, 476, 274, 263, 271, 269, 275, 264, 9948, 263, 271, 269, 279, 476, 273, 3738, 348, 815, 476, 272, 269, 3607, 4846, 3040, 544, 476, 273, 630, 320, 3738, 5775, 281, 594, 476, 271, 815, 476, 272, 269, 3607, 4846, 910, 544, 476, 273, 476, 3199, 272, 9736, 476, 1001, 277, 21942, 4065, 267, 5549, 1421, 16592, 590, 18150, 5211, 267, 27359, 269, 2353, 2924, 11603, 269, 901, 1570, 568, 6870, 896, 782, 10677, 4031, 607, 789, 4867, 2291, 269, 3143, 6712, 540, 713, 1570, 949, 581, 25735, 267, 538, 1022, 1106, 610, 676, 1022, 1797, 267, 1510, 10479, 538, 1603, 689, 519, 17404, 269, 476, 26764, 9736, 476, 1001, 277, 21942, 4065, 267, 5549, 1421, 16592, 590, 18150, 5211, 267, 27359, 269, 2353, 2924, 11603, 269, 901, 1570, 568, 6870, 896, 782, 10677, 4031, 607, 789, 4867, 2291, 269, 3143, 6712, 540, 713, 1570, 949, 581, 25735, 267, 538, 1022, 1106, 610, 676, 1022, 1797, 267, 1510, 10479, 538, 1603, 689, 519, 17404, 269, 476, 1704, 910, 476, 1724, 1547, 634, 8868, 5161, 540, 513, 6094, 8258, 2348, 513, 2527, 540, 476, 1015, 4846, 543, 2185, 22557, 1500, 689, 28795, 22203, 267, 1142, 2348, 513, 2527, 540, 476, 273, 4846, 269, 14419, 519, 8868, 779, 4090, 540, 24880, 827, 606, 7852, 13902, 547, 519, 2985, 543, 8429, 998, 1448, 589, 269, 25663, 28513, 476, 278, 513, 815, 1315, 587, 508, 1341, 544, 323, 476, 274, 476, 272, 630, 476, 275, 3738 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 773, 3039, 575, 1963, 552, 274, 1906, 575, 338, 639, 524, 338, 639, 16147, 476, 272, 5152, 1404, 581, 524, 338, 639, 269, 623, 10730, 2063, 5750, 29601, 269, 3657, 13176, 575, 4699, 513, 2573, 1301, 4577, 476, 273, 1187, 267, 3787, 524, 338, 639, 1524, 568, 575, 271, 12006, 1482, 13797, 1079, 15864, 563, 12336, 639, 932, 867, 2871, 10560, 910, 11835, 7034, 303, 23981, 2593, 267, 595, 338, 639, 932, 867, 2871, 10560, 281, 524, 338, 639, 17735, 8772, 13176, 14440, 22334, 12222, 267, 875, 1404, 524, 338, 639, 16147, 267, 524, 5417, 524, 5417, 323, 524, 323, 574, 524, 338, 639, 267, 524, 338, 639, 16147, 267, 524, 338, 639, 13176, 838, 691, 18372, 14765, 1286, 17745, 2214, 691, 534, 267, 519, 524, 338, 639, 13176, 22334, 616, 7396, 2630, 1142, 891, 267, 524, 338, 639, 13176, 16147, 267, 2070, 3312, 3239, 267, 2073, 524, 338, 639, 2676, 5425, 4785, 8863, 16704, 25999, 32154, 267, 855, 269, 13474, 2178, 269, 6435, 995, 950, 596, 516, 856, 610, 269, 18181, 267, 524, 338, 639, 267, 575, 267, 535, 267, 524, 524, 338, 639, 269, 19549, 1131, 8207, 547, 3362, 2697, 22334, 563, 5353, 22770, 932, 3581, 538, 476, 1321, 32368, 1547, 9137, 593, 932, 867, 29062, 269, 13797, 13305, 278, 16927, 13332, 932, 3581, 538, 476, 1321, 32368, 1547, 26425, 966, 18757, 902, 538, 476, 1321, 32368, 1547, 27326, 26425, 966, 18757, 902, 630, 275, 5991, 1774, 264, 2349, 1132, 3281, 532, 1547, 476, 275, 9539, 1774, 17848, 1652, 966, 18757, 902, 1547, 19382, 7435, 932, 3581, 547, 590, 2210, 830, 589, 2998, 1547, 3267, 570, 2317, 5455, 530, 270, 334, 14440, 630, 338, 869, 4528, 994, 8245, 680, 1881, 14440, 2575, 949, 1331, 16147, 23053, 585, 519, 32058, 626, 945, 3884, 1405, 3833, 909, 547, 2542, 2575, 1134, 2614, 547, 5431, 3267, 595, 6645, 596, 547, 1118, 513, 595, 2101, 16147, 267, 595, 338, 639, 6645, 596, 547, 1404, 513, 17735, 16147, 630, 516, 2897, 519, 3791, 4063, 540, 519, 4336, 609, 519, 8772, 1070, 543, 595, 278, 6645, 596, 547, 1404, 513, 4429, 12336, 639, 932, 867, 910, 11835, 7034, 303, 23981, 2593, 267, 595, 338, 639, 932, 867, 281, 524, 338, 639, 17735, 8772, 13176, 14440, 22334, 12222, 267, 875, 1404, 524, 338, 639, 16147, 267, 4699, 1690, 524, 338, 639, 267, 524, 338, 639, 16147, 267, 524, 5417, 524, 5417, 323, 524, 323, 574, 524, 338, 639, 267, 524, 338, 639, 16147, 267, 524, 338, 639, 16147, 10317, 267, 524, 338, 639, 16147, 267, 524, 338, 639, 16147, 267, 579, 651, 16147, 6516, 524, 338, 639, 2676, 1692, 798, 596, 1404, 513, 595, 338, 639, 16147, 593, 13176, 286, 1923, 595, 338, 639, 281, 9255, 707, 476, 272, 560, 630, 8161, 264, 9416, 3297, 519, 476, 272, 560, 31361, 593, 519, 476, 272, 560, 1299, 476, 273, 526, 12673, 540, 519, 13176, 269, 634, 9133, 540, 707, 476, 272, 338, 2483, 31535, 875, 547, 1404, 513, 595, 17735, 2185, 630, 12336, 639, 275, 264, 16147, 593, 519, 14440, 568, 513, 1455, 5578, 547, 723, 269, 1411, 786, 991, 621, 950, 4730, 2575, 267, 543, 596, 786, 991, 547, 581, 2483, 2108, 290, 12246, 9050, 892, 932, 867, 3090, 281, 595, 338, 639, 275, 11872, 538, 519, 16147, 281, 595, 267, 674, 267, 717, 267, 2608, 4692, 849, 581, 2854, 607, 281, 595, 338, 639, 2676, 24792, 334, 2003, 334, 595, 338, 2224, 16147, 5546, 269, 14440, 1973, 267, 6309, 5459, 2648, 269, 932, 867, 4244, 2012, 524, 267, 3267, 2473, 575, 535, 524, 338, 639, 13176, 22334, 536, 993, 546, 338, 639, 1523, 269, 23045, 693, 1310, 782, 9416, 902, 829, 16147, 2985, 1535, 9184, 5523, 269, 9877, 524, 326, 10268, 1934, 585, 13176, 267, 524, 338, 639, 1852, 3046, 524, 5417, 322, 5417, 269, 932, 3581, 5750, 543, 22334, 546, 513, 552, 552, 536, 536, 563, 261, 4178, 530, 12361, 32685, 12361, 2346, 8940, 536, 342, 8940, 536, 342, 536, 32685, 32685, 1948, 32685, 536, 321, 2346, 1299, 4178, 536, 342, 536, 321, 32685, 12693, 2346, 32685, 1948, 2346, 32685, 1948, 2346, 32685, 536, 321, 2346, 32685, 536, 2346, 536, 6277, 1299, 4178, 536, 342, 8940, 1948, 342, 536, 2346, 2346, 8940, 530, 1948, 8940, 530, 1948, 8940, 536, 342, 1299, 8940, 536, 342, 536, 6277, 32685, 32685, 536, 32685, 32685, 32685, 32685, 1948, 32685, 454, 2791, 2904, 4746, 6145, 269, 4197, 519, 623, 10730, 932, 3581, 269, 4804, 547, 1118, 22334, 593, 519, 14440, 568, 835, 540, 519, 4909, 1983, 2877, 547, 1404, 14440, 1134, 563, 294, 3726, 541, 932, 3581, 595, 338, 639, 269, 589, 17735, 16147, 630, 528, 513, 16147, 20022, 264, 568, 2356, 2944, 3267, 1411, 666, 2119, 713, 593, 513, 13176, 610, 513, 14440, 269, 15232, 609, 824, 12673, 17735, 269, 10925, 873, 538, 4025, 1141, 596, 991, 513, 2370, 10761, 538, 1010, 2575, 269, 898, 949, 581, 1175, 1018, 596, 2811, 3168, 585, 563, 1862, 2575, 10253, 267, 13176, 22334, 267, 13176, 10253, 267, 14440, 16147, 267, 13176, 22334, 5750, 2575, 3069, 4336, 693, 331, 1162, 27906, 5314, 1505, 609, 631, 6993, 8160, 15660, 269, 7574, 10253, 693, 331, 1162, 281, 1863, 28085, 269, 12246, 932, 3581, 593, 3267, 3962, 540, 891, 595, 338, 639, 22334, 616, 7396, 538, 3044, 16147, 12125, 269, 2871, 10560, 570, 11274, 267, 2871, 10560, 932, 3581, 543, 4429, 12336, 639, 815, 595, 674, 717, 595, 338, 639, 278, 815, 595, 674, 717, 645, 321, 595, 277, 815, 595, 661, 717, 589, 595, 273, 815, 595, 667, 661, 717, 281, 6206, 281, 595, 258, 595, 258, 284, 595, 258, 661, 258, 717, 258, 595, 258, 332, 815, 595, 258, 661, 717, 258, 595, 258, 278, 815, 595, 258, 661, 258, 717, 258, 645, 595, 258, 300, 278, 815, 595, 258, 661, 258, 717, 258, 645, 258, 595, 258, 332, 278, 815, 595, 258, 661, 717, 258, 645, 595, 258, 338, 639, 815, 595, 258, 293, 258, 294, 258, 595, 258, 338, 639, 278, 815, 595, 258, 674, 258, 717, 258, 645, 595, 258, 277, 815, 595, 258, 661, 258, 717, 258, 589, 258, 3267, 7427, 968, 303, 10730, 22334, 5750, 1923, 623, 10730, 22334, 4429, 296, 6415, 3843, 547, 1404, 834, 20761, 513, 9814, 257, 676, 521, 23022, 544, 743, 778, 17427, 543, 1775, 723, 519, 14440, 2575, 269, 898, 8638, 519, 11144, 607, 674, 1923, 290, 1923, 291, 332, 1923, 289, 321, 674, 1923, 12336, 639, 27798, 25238, 332, 1923, 289, 321, 519, 4967, 593, 519, 588, 1511, 616, 717, 538, 18369, 267, 543, 674, 3267, 513, 834, 338, 639, 257, 16147, 568, 1175, 513, 2101, 609, 519, 3791, 6659, 835, 10859, 3159, 630, 514, 713, 2013, 267, 519, 661, 3587, 674, 4429, 1862, 855, 711, 2141, 269, 1280, 1383, 267, 513, 595, 338, 639, 1131, 1413, 899, 713, 281, 674, 338, 639, 1131, 1413, 899, 713, 281, 717, 338, 639, 1131, 1413, 899, 713, 281, 1403, 649, 1185, 513, 476, 278, 628, 16147, 602, 729, 3267, 7490, 1294, 5291, 2517, 4178, 269, 2452, 335, 10730, 2593, 270, 19522, 270, 19009, 2000, 626, 1790, 10730, 7302, 3581, 268, 18080, 12072, 21867, 547, 1451, 875, 547, 834, 19009, 1592, 257, 713, 20394, 865, 4429, 289, 590, 19851, 288, 2562, 3633, 8863, 16704, 28697, 3198, 302, 700, 1115, 1413, 693, 519, 535, 338, 639, 269, 8745, 267, 3006, 10483, 676, 519, 1297, 4484, 2012, 269, 3267, 595, 338, 639, 16147, 536, 5634, 3997, 31360, 269, 12246, 536, 338, 639, 267, 536, 13455, 26998, 610, 536, 3997, 14440, 269, 8729, 6801, 268, 14440, 1519, 2101, 269, 12232, 267, 14440, 16147, 2442, 8631, 23937, 563, 26452, 5686, 540, 16147, 4408, 543, 6698, 616, 1031, 538, 1114, 8658, 267, 3267, 519, 19412, 18818, 16147, 267, 5129, 593, 14440, 609, 909, 547, 5722, 4967, 267, 3267, 595, 338, 639, 476, 275, 282, 901, 16147, 568, 606, 6905, 476, 280, 628, 16147, 609, 519, 476, 274, 6113, 8719, 676, 519, 476, 275, 628, 4429, 288, 595, 17735, 16147, 540, 713, 1826, 568, 1419, 3254, 538, 16147, 12125, 607, 2901, 513, 595, 338, 639, 610, 513, 595, 3997, 275, 269, 3267, 634, 8422, 6301, 932, 3581, 1411, 9701, 5700, 593, 519, 623, 10730, 282, 623, 10730, 932, 3581, 513, 932, 867, 3883, 543, 10783, 344, 20640, 15019, 932, 3581, 1280, 30488, 282, 10765, 15080, 563, 763, 9978, 623, 10730, 932, 3581, 269, 3267, 1280, 1383, 267, 952, 596, 616, 4730, 513, 595, 338, 639, 16147, 267, 621, 4992, 1034, 2067, 547, 8207, 547, 519, 595, 11683, 16147, 269, 476, 273, 932, 867, 269, 634, 476, 273, 16147, 568, 899, 519, 7015, 540, 519, 17735, 16147, 563, 303, 10730, 932, 867, 15873, 595, 595, 332, 595, 278, 595, 332, 278, 595, 332, 1690, 278, 595, 277, 595, 280, 595, 1724, 595, 338, 639, 595, 338, 639, 275, 269, 476, 275, 17778, 547, 4804, 1215, 547, 7591, 7102, 14576, 593, 519, 623, 10730, 476, 272, 269, 10318, 1456, 519, 23260, 910, 9253, 3672, 3313, 1018, 22334, 786, 581, 5129, 563, 763, 1101, 1883, 547, 3314, 950, 3843, 547, 1118, 2631, 540, 519, 14440, 16147, 568, 602, 789, 2811, 1759, 593, 1862, 3267, 7151, 281, 595, 338, 639, 610, 595, 338, 639, 275, 815, 595, 674, 717, 269, 5990, 590, 12601, 7728, 295, 28697, 3198, 302, 8863, 16704, 12327, 307, 21715, 3633, 8863, 3036, 9169, 269, 8437, 3371, 1677, 6258, 1548, 589, 623, 10730, 932, 867, 6733, 338, 6145, 1656, 1215, 898, 3718, 2336, 9596, 547, 1224, 14440, 22334, 543, 1265, 856, 1018, 789, 1611, 256, 5851, 282, 9612, 282, 7454, 623, 10730, 7734, 282, 2349, 1132, 16497, 282, 11370, 3539, 513, 6206, 4580, 282, 932, 867, 932, 11301, 282, 14174, 304, 282, 3267, 595, 275, 610, 595, 338, 639, 610, 595, 338, 639, 275, 3267, 1772, 513, 17735, 16147, 269, 11872, 281, 595, 674, 717, 595, 338, 639, 278, 3267, 1772, 513, 17735, 476, 278, 628, 16147, 269, 11872, 281, 595, 674, 717, 645, 321, 595, 277, 3267, 1772, 513, 476, 277, 628, 16147, 269, 11872, 281, 595, 661, 717, 589, 595, 273, 4429, 7659, 2986, 595, 11683, 2871, 10560, 543, 623, 10730, 932, 3581, 30894, 769, 951, 687, 454, 294, 3726, 541, 22334, 14440, 13691, 6060, 4063, 4967, 1265, 16147, 2012, 10035, 910, 4967, 547, 22334, 16147, 1265, 518, 4020, 27871, 11963, 4063, 7127, 22334, 10103, 16147, 6284, 3267, 595, 266, 595, 278, 338, 639, 275, 595, 323, 574, 270, 6781, 595, 332, 277, 595, 338, 639, 595, 338, 639, 275, 12458, 595, 6357, 276, 264, 595, 1556, 595, 280, 595, 323, 574, 22230, 595, 332, 278, 595, 338, 639, 273, 595, 338, 639, 275, 20324, 595, 12458, 595, 275, 595, 280, 4429, 2252, 596, 4769, 1405, 1265, 1018, 596, 941, 3168, 585, 596, 666, 2141, 2119, 5616, 9612, 454, 11754, 713, 2985, 547, 707, 5816, 267, 1357, 267, 610, 8468, 269, 901, 786, 948, 1004, 917, 1018, 568, 1548, 568, 11483, 4785, 8863, 16704, 28697, 3198, 302, 0, 272, 264, 634, 2702, 547, 1847, 689, 835, 4087, 547, 1776, 568, 454, 273, 264, 589, 8628, 1847, 547, 513, 1007, 4087, 568, 454, 274, 264, 589, 2197, 814, 2121, 538, 2173, 12568, 952, 900, 12568, 13322, 11776, 563, 291, 264, 10815, 982, 454, 332, 580, 3433, 5097, 1317, 540, 799, 1826, 540, 7903, 3815, 888, 276, 264, 6904, 540, 519, 1739, 2621, 1131, 581, 2808, 513, 9194, 7485, 3815, 888, 288, 264, 21829, 1491, 1478, 540, 513, 2229, 454, 277, 264, 11153, 2929, 9721, 28953, 538, 519, 476, 7277, 271, 338, 5097, 1317, 454, 289, 264, 771, 770, 24854, 2804, 2175, 14593, 873, 856, 540, 519, 2197, 454, 278, 264, 4340, 547, 519, 772, 2529, 269, 9730, 585, 25083, 525, 267, 519, 1079, 4102, 2516, 540, 3486, 454, 289, 264, 24752, 543, 13529, 454, 279, 264, 4340, 547, 519, 772, 2529, 269, 9730, 585, 25083, 525, 267, 519, 1079, 4102, 2516, 540, 4835, 15076, 454, 290, 264, 20528, 543, 21896, 454, 280, 264, 7085, 687, 540, 4639, 20338, 945, 28953, 547, 13280, 1282, 519, 476, 3192, 271, 338, 267, 950, 519, 2197, 781, 454, 324, 1595, 344, 9450, 267, 941, 30461, 1282, 519, 476, 2735, 271, 338, 267, 950, 519, 2197, 781, 4346, 17379, 563, 1607, 568, 606, 1383, 540, 454, 291, 264, 589, 7485, 3815, 4657, 547, 513, 7903, 3815, 454, 1015, 264, 634, 1034, 1271, 7485, 3815, 585, 20404, 547, 3345, 3013, 568, 454, 1556, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1715, 2010, 540, 6793, 267, 14402, 2326, 1404, 513, 4105, 1909, 538, 8331, 779, 3804, 547, 1689, 519, 2104, 540, 8184, 269, 898, 1031, 547, 581, 602, 606, 2333, 538, 28995, 4222, 6039, 547, 2569, 513, 1570, 779, 2702, 547, 12701, 543, 18846, 1354, 8840, 267, 799, 568, 1946, 938, 1007, 18585, 568, 7415, 563, 291, 18752, 270, 14946, 618, 281, 21676, 7204, 5410, 1438, 19007, 609, 10049, 21290, 763, 2319, 4294, 5687, 17871, 9781, 543, 11573, 3042, 476, 274, 291, 8228, 547, 1020, 519, 1007, 1164, 27529, 18585, 602, 9447, 713, 14634, 2773, 563, 763, 3498, 540, 891, 1079, 3157, 814, 14320, 18965, 519, 2557, 540, 1646, 540, 938, 2326, 269, 1284, 666, 1631, 3132, 1007, 2326, 5488, 543, 609, 1732, 2773, 982, 1354, 563, 20755, 8055, 267, 10196, 3794, 3317, 3194, 4741, 1107, 8331, 454, 1432, 1031, 547, 1491, 1296, 998, 513, 1184, 540, 4693, 543, 5470, 267, 568, 1631, 513, 2339, 540, 4374, 610, 3275, 547, 1118, 8906, 563, 8794, 5687, 17871, 3631, 267, 835, 540, 1082, 12985, 2645, 9916, 538, 8331, 779, 17496, 476, 14225, 271, 1353, 267, 519, 2319, 4362, 519, 6099, 5888, 540, 519, 18585, 1310, 1175, 476, 1789, 13502, 563, 1607, 9781, 1907, 7472, 2164, 538, 1454, 1447, 942, 543, 693, 513, 2539, 1942, 982, 2757, 4693, 543, 5470, 3157, 269, 634, 1907, 849, 30417, 4666, 7475, 676, 6029, 3173, 711, 1152, 1018, 2010, 540, 8407, 547, 6451, 267, 855, 849, 875, 1454, 540, 1142, 3693, 1058, 581, 29689, 883, 519, 5888, 563, 763, 2773, 540, 713, 18585, 5693, 9727, 519, 15657, 540, 519, 9781, 1907, 543, 922, 2702, 547, 3132, 1713, 2164, 563, 17556, 557, 28199, 267, 8331, 454, 7883, 532, 998, 8940, 8542, 14505, 10993 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12163, 2237, 513, 1982, 602, 12134, 519, 3593, 547, 4283, 513, 2262, 543, 16493, 856, 2436, 602, 2262, 3568, 454, 1415, 24008, 563, 12163, 5320, 815, 3403, 2891, 11767, 513, 2262, 281, 5602, 341, 578, 1564, 815, 8771, 692, 604, 1412, 320, 262, 538, 2262, 610, 1412, 328, 262, 538, 2262, 610, 1412, 334, 262, 538, 2262, 610, 1412, 324, 262, 538, 2262, 610, 1412, 340, 262, 538, 2262, 912, 825, 24008, 815, 6936, 692, 604, 24008, 568, 6936, 912, 825, 1820, 3488, 309, 578, 1564, 2291, 5073, 604, 24008, 568, 8771, 912, 825, 1820, 3488, 2467, 616, 1100, 835, 24008, 5073, 0, 12163, 2237, 513, 1982, 602, 12134, 519, 3593, 547, 4283, 513, 2597, 538, 13532, 269, 634, 1982, 1058, 454, 935, 3200, 621, 547, 6550, 267, 8228, 519, 2626, 17031, 547, 519, 14282, 20870, 540, 513, 11013, 563, 12163, 330, 559, 6945, 916, 815, 859, 531, 9272, 2891, 11767, 513, 2597, 538, 13532, 281, 27363, 335, 2432, 815, 11304, 916, 2608, 476, 273, 269, 14225, 454, 2745, 2891, 303, 2432, 24333, 6550, 994, 0, 5814, 23290, 454, 5814, 23290, 8542, 333, 607, 562, 333, 454, 5814, 23290, 8542, 333, 8807, 23341, 607, 674, 7531, 3698, 1711, 6958, 322, 333, 9272, 5091, 574, 267, 3977, 5091, 574, 2187, 825, 23288, 1038, 8073, 513, 27975, 569, 4448, 3060, 676, 10518, 532, 2789, 454, 1038, 12430, 270, 3725, 299, 308, 6106, 538, 519, 562, 333, 2529, 3225, 1113, 8708, 269, 634, 1297, 454, 1038, 540, 3403, 543, 3977, 11409, 1058, 581, 519, 1482, 607, 519, 1297, 454, 1038, 540, 19641, 538, 519, 3239, 630, 10482, 265, 10482, 264, 543, 519, 1297, 540, 5049, 630, 277, 13211, 1038, 6606, 454, 825, 23288, 825, 2203, 815, 562, 333, 2529, 3225, 1113, 18692, 2018, 562, 333, 11482, 710, 541, 9272, 5091, 574, 267, 476, 16348, 13211, 2018, 23290, 8542, 333, 269, 3725, 299, 308, 263, 13211, 2018, 562, 333, 11482, 710, 541, 263, 16348, 267, 476, 16348, 13211, 2018, 23290, 8542, 333, 269, 3725, 299, 308, 263, 13211, 2018, 562, 333, 11482, 710, 541, 263, 16348, 267, 476, 16348, 13211, 2018, 23290, 8542, 333, 269, 3725, 299, 308, 263, 13211, 2018, 23290, 8542, 333, 11482, 710, 541, 263, 16348, 267, 3977, 5091, 574, 13211, 1038, 25589, 825, 1948, 2203, 815, 562, 333, 2529, 3225, 1113, 18692, 825, 1948, 1363, 1948, 5410, 707, 13838, 1934, 454, 825, 1948, 1363, 562, 333, 11482, 710, 541, 9272, 5091, 574, 267, 3977, 5091, 574, 13211, 825, 1948, 1363, 25589, 825, 2132, 2203, 692, 5035, 22255, 564, 3799, 333, 8160, 617, 2544, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 2706, 27331, 523, 564, 267, 1582, 1040, 1029, 8181, 1029, 4590, 1038, 1582, 26769, 341, 272, 815, 562, 333, 269, 3519, 341, 273, 323, 263, 272, 267, 476, 277, 267, 476, 276, 994, 1038, 1582, 26769, 341, 273, 815, 562, 333, 269, 3519, 341, 273, 323, 263, 277, 267, 476, 1626, 267, 476, 276, 994, 1038, 1582, 26769, 341, 274, 815, 562, 333, 269, 3519, 341, 273, 323, 263, 1626, 267, 476, 3953, 267, 476, 276, 994, 1038, 1582, 8807, 322, 272, 567, 815, 562, 333, 11482, 710, 541, 263, 3953, 265, 1015, 265, 1015, 267, 476, 1220, 994, 1038, 1582, 8807, 322, 273, 567, 815, 562, 333, 11482, 710, 541, 263, 1220, 267, 476, 4510, 994, 1038, 1582, 8807, 322, 274, 567, 815, 562, 333, 11482, 710, 541, 263, 4510, 267, 476, 277, 2020, 825, 1219, 4464, 4311, 267, 1535, 2187, 1038, 856, 815, 674, 18622, 1663, 4311, 26769, 341, 272, 3287, 4917, 1038, 856, 815, 674, 27982, 7272, 944, 273, 323, 263, 719, 267, 476, 273, 994, 1038, 856, 815, 674, 18622, 1663, 4311, 26769, 341, 273, 263, 719, 4917, 1038, 856, 815, 674, 27982, 7272, 944, 273, 323, 263, 719, 267, 476, 273, 994, 1038, 856, 815, 674, 18622, 1663, 4311, 26769, 341, 274, 263, 719, 4917, 1038, 856, 815, 674, 27982, 7272, 944, 273, 323, 263, 719, 267, 476, 273, 994, 1038, 856, 815, 856, 269, 1613, 263, 719, 25915, 263, 271, 1070, 910, 272, 994, 1038, 856, 815, 674, 18622, 1663, 4311, 8807, 322, 272, 263, 719, 4917, 1038, 856, 815, 674, 18622, 1663, 4311, 8807, 322, 273, 263, 719, 4917, 1038, 856, 815, 1582, 8807, 322, 274, 263, 719, 994, 1038, 2132, 856, 692, 0, 19689, 14729, 792, 815, 3403, 2891, 11767, 707, 4332, 1032, 281, 19515, 720, 815, 476, 1708, 272, 910, 703, 6357, 9500, 14729, 792, 994, 2745, 263, 720, 2020, 14140, 20311, 815, 3403, 2891, 5575, 281, 19515, 16149, 20311, 815, 3403, 2891, 13553, 281, 19515, 28237, 815, 703, 6600, 1009, 20311, 264, 2608, 703, 263, 16149, 20311, 994, 2745, 9638, 6055, 994, 0, 3698, 814, 5332, 334, 21223, 27182, 2187, 825, 585, 4484, 538, 2262, 912, 1038, 952, 4484, 2652, 1412, 324, 12466, 2018, 2132, 8771, 454, 825, 2132, 6936, 692, 3698, 2328, 5591, 292, 10031, 825, 1710, 815, 1930, 3488, 6919, 17902, 5073, 825, 535, 815, 1930, 3488, 6919, 5591, 292, 17902, 12887, 342, 5073, 825, 585, 1899, 538, 1710, 912, 1038, 2262, 815, 1899, 454, 1038, 952, 814, 5332, 334, 21223, 27182, 264, 2652, 6936, 912, 2018, 535, 22182, 27182, 994, 825, 535, 25379, 10797, 3698, 24193, 27182, 267, 1875, 334, 2187, 825, 585, 4484, 538, 2262, 912, 1038, 952, 4484, 538, 1875, 334, 912, 2018, 2132, 8771, 454, 825, 2132, 6936, 692, 3698, 2328, 2690, 321, 5200, 10031, 825, 1710, 815, 1930, 3488, 6919, 17902, 5073, 825, 535, 273, 815, 1930, 3488, 1721, 321, 5200, 17902, 3299, 1412, 342, 5073, 825, 1820, 3488, 19152, 513, 4484, 281, 30386, 825, 1100, 815, 3403, 4590, 825, 4831, 815, 476, 271, 454, 825, 585, 1899, 538, 1710, 912, 1038, 2262, 815, 1899, 454, 1038, 952, 24193, 27182, 267, 1100, 264, 2652, 6936, 912, 2018, 4831, 815, 4831, 1341, 476, 272, 454, 2018, 535, 273, 22182, 27182, 994, 825, 535, 273, 25379, 4590, 825, 1710, 25379, 4590, 825, 1820, 6600, 31415, 1877, 616, 2715, 322, 3300, 348, 1913, 602, 798, 711, 2270, 2715, 7224, 348, 9538, 2020, 3698, 3096, 318, 21671, 27182, 267, 9811, 2187, 825, 585, 4484, 538, 2262, 912, 1038, 952, 4484, 711, 538, 9811, 912, 2018, 2132, 8771, 454, 825, 2132, 6936, 692, 3698, 2328, 18744, 10031, 825, 1710, 815, 1930, 3488, 6919, 17902, 5073, 825, 535, 274, 815, 1930, 3488, 4926, 18744, 17902, 3299, 1412, 342, 5073, 825, 1820, 3488, 19152, 513, 3126, 540, 5022, 281, 30386, 825, 1152, 815, 3403, 4590, 825, 585, 1899, 538, 1710, 912, 1038, 2262, 815, 1899, 14714, 8692, 4590, 1038, 952, 3096, 318, 21671, 27182, 267, 1152, 264, 2652, 6936, 912, 2018, 535, 274, 22182, 27182, 22065, 315, 337, 14826, 5073, 825, 535, 274, 25379, 4590, 825, 1710, 25379, 10797, 3698, 3096, 318, 718, 27182, 267, 1590, 2187, 825, 585, 4484, 538, 1590, 912, 1038, 952, 4484, 711, 538, 2262, 912, 2018, 2132, 8771, 454, 825, 2132, 6936, 692, 3698, 2328, 3725, 336, 10031, 825, 1710, 815, 1930, 3488, 6919, 17902, 5073, 825, 535, 275, 815, 1930, 3488, 4926, 5472, 17902, 3299, 1412, 342, 5073, 825, 1820, 3488, 19152, 519, 5022, 602, 1590, 581, 538, 519, 2262, 281, 30386, 825, 1590, 815, 3403, 4590, 825, 585, 1899, 538, 1710, 912, 1038, 952, 3096, 318, 718, 263, 1467, 267, 1590, 264, 2652, 6936, 912, 2018, 535, 275, 22182, 263, 1467, 994, 825, 535, 275, 25379, 4590, 825, 1710, 25379, 10797, 3698, 568, 318, 23042, 1027, 518, 1014, 27182, 2187, 825, 3105, 815, 2262, 314, 271, 2639, 825, 585, 1775, 538, 2262, 912, 1038, 952, 1775, 2999, 3105, 912, 2018, 2132, 8771, 454, 1038, 3105, 815, 1775, 454, 825, 2132, 6936, 692, 3698, 2328, 24576, 10031, 825, 1710, 815, 1930, 3488, 6919, 17902, 5073, 825, 535, 276, 815, 1930, 3488, 23912, 17902, 3299, 1412, 342, 5073, 825, 585, 1899, 538, 1710, 912, 1038, 2262, 815, 1899, 14714, 8692, 4590, 1038, 952, 568, 318, 23042, 1027, 518, 1014, 27182, 2187, 2018, 535, 276, 22182, 27182, 22065, 315, 337, 14826, 5073, 825, 535, 276, 25379, 4590, 825, 1710, 25379, 4590, 0, 18411, 396, 352, 4814, 30718, 476, 275, 269, 2843, 501, 3522, 28027, 17221, 3264, 476, 275, 563, 396, 509, 16417, 9686, 13150, 3522, 8563, 6459, 12811, 11012, 10528, 25986, 30718, 24893, 25986, 3264, 6459, 269, 2843, 508, 10528, 16417, 9686, 3264, 20434, 16021, 16044, 491, 6459, 27671, 12811, 4344, 9924, 11012, 10528, 25986, 18547, 267, 14359, 3264, 15800, 9261, 3264, 19628, 27569, 4138, 3264, 10780, 13833, 4344, 18775, 23845, 13953, 269, 29112, 32553, 18775, 9261, 4138, 31589, 13953, 16021, 15800, 4344, 22147, 13833, 9924, 13953, 20413, 3522, 4736, 4736, 4138, 8563, 24893, 25986, 3264, 6459, 267, 11012, 3378, 30324, 8563, 20046, 13150, 8563, 7846, 19628, 27569, 4138, 17153, 476, 4344, 16417, 16648, 13833, 3522, 17221, 19628, 269, 2843, 511, 6459, 27671, 12811, 4344, 9924, 11714, 9924, 8563, 29391, 4138, 16021, 11714, 10780, 18775, 9326, 9686, 7549, 3264, 15800, 17153, 11012, 6459, 29391, 13833, 3522, 17221, 9326, 11714, 15800, 4736, 17153, 19757, 4709, 21134, 11012, 10528, 25986, 7549, 3264, 269, 2843, 498, 31124, 11714, 9924, 10528, 17201, 4709, 23845, 9326, 30935, 28027, 17221, 9326, 16068, 16648, 9326, 13194, 3522, 16021, 23783, 21170, 15800, 4736, 10528, 17201, 9841, 13194, 7846, 13953, 16021, 28314, 12811, 3264, 13077, 4344, 18775, 563, 396, 509, 23485, 9261, 21268, 15800, 4736, 17153, 19757, 4709, 22147, 3378, 11012, 10528, 25986, 18547, 281, 1496, 273, 267, 476, 273, 267, 476, 273, 267, 476, 278, 267, 476, 2537, 267, 476, 272, 267, 476, 4510, 267, 476, 4510, 267, 476, 274, 267, 476, 273, 267, 476, 1015, 267, 476, 278, 267, 476, 275, 267, 476, 1556, 14073, 396, 510, 3264, 13194, 7846, 23783, 4344, 19277, 281, 1496, 2537, 267, 476, 272, 267, 476, 274, 267, 476, 1015, 267, 476, 275, 267, 476, 1556, 2639, 18257, 692, 5814, 4351, 607, 28219, 454, 331, 815, 1496, 8681, 20120, 9792, 263, 272, 267, 476, 1911, 267, 476, 272, 264, 585, 1775, 538, 2039, 263, 1789, 22708, 331, 318, 719, 815, 1496, 343, 585, 1535, 538, 561, 952, 561, 29644, 3287, 264, 2652, 476, 272, 6540, 2745, 6600, 262, 396, 502, 4736, 17153, 19757, 21162, 13953, 11012, 10528, 25986, 30718, 281, 2715, 331, 348, 5073, 2745, 6600, 262, 29551, 9924, 17153, 19757, 20265, 9326, 10780, 25974, 6459, 29391, 13833, 3522, 16021, 23783, 21170, 13150, 9841, 281, 2715, 331, 318, 719, 348, 5073, 0, 258, 307, 20635, 519, 942, 454, 5814, 30220, 454, 323, 520, 8135, 6155, 520, 8135, 269, 852, 14061, 5503, 4590, 323, 520, 8135, 28333, 263, 1428, 267, 476, 3953, 267, 476, 2190, 267, 476, 4281, 280, 1428, 2020, 2745, 2891, 763, 942, 568, 2433, 834, 12467, 2745, 263, 30220, 6155, 520, 8135, 269, 852, 14061, 5503, 15405, 0, 258, 14765, 1456, 513, 1592, 540, 1913, 538, 513, 4845, 692, 338, 815, 834, 4840, 572, 336, 815, 9497, 13312, 2580, 834, 320, 2580, 834, 3534, 8442, 3097, 2745, 521, 12459, 7765, 263, 694, 336, 12467, 258, 534, 1278, 1259, 692, 2745, 2891, 19515, 2745, 2891, 19515, 338, 6889, 13312, 4840, 339, 6889, 320, 4840, 340, 6889, 3534, 4840, 2745, 4433, 25722, 267, 340, 994, 0, 258, 13038, 12430, 22953, 692, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 21795, 607, 19073, 692, 323, 21648, 564, 815, 19073, 18667, 32269, 3488, 2004, 318, 9359, 5725, 27406, 5073, 311, 815, 10471, 269, 559, 665, 18020, 32473, 272, 4940, 11161, 454, 344, 815, 10471, 269, 559, 665, 18020, 476, 275, 4940, 11161, 692, 258, 7402, 5317, 28547, 1239, 692, 258, 7402, 5317, 28547, 1239, 692, 323, 27186, 815, 335, 323, 10947, 5091, 27186, 11583, 18020, 274, 3910, 17840, 6958, 1009, 18989, 994, 311, 815, 19073, 6185, 1092, 20988, 11583, 267, 3712, 8435, 284, 9131, 305, 22936, 1975, 754, 12887, 3849, 3439, 1674, 12887, 15812, 7566, 1975, 754, 12887, 13750, 262, 7481, 311, 815, 19073, 26769, 13906, 8443, 311, 28504, 27186, 3910, 9471, 284, 272, 994, 311, 815, 2473, 6155, 1886, 8443, 262, 13750, 28710, 9471, 284, 272, 2020, 258, 10758, 454, 258, 5228, 28189, 269, 2181, 30112, 1104, 22443, 21886, 18344, 267, 2290, 31640, 21886, 18344, 454, 258, 16932, 16780, 18344, 815, 22443, 21886, 18344, 4590, 258, 311, 18020, 476, 274, 316, 815, 6003, 16780, 18344, 32265, 4671, 4920, 845, 11583, 18020, 476, 274, 7481, 258, 821, 14653, 16780, 18344, 815, 2290, 31640, 21886, 18344, 6262, 1538, 5566, 6958, 324, 2137, 815, 1496, 274, 7481, 258, 311, 815, 835, 14653, 16780 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2872, 269, 1703, 616, 1082, 5383, 547, 513, 26771, 6109, 543, 267, 4061, 267, 621, 666, 581, 11130, 602, 519, 6228, 540, 513, 2344, 26771, 538, 3294, 1058, 711, 581, 513, 2014, 540, 6161, 585, 519, 26273, 269, 28791, 972, 568, 2963, 540, 2250, 13817, 2265, 540, 17282, 267, 799, 568, 29880, 585, 519, 2344, 543, 922, 8639, 267, 930, 1131, 8044, 602, 972, 568, 1100, 24134, 585, 1022, 9525, 676, 22124, 693, 782, 563, 4913, 267, 1382, 676, 519, 4139, 3933, 8767, 8750, 11943, 602, 7050, 2344, 1379, 538, 519, 3946, 540, 513, 1906, 10909, 666, 581, 513, 8749, 593, 5420, 3856, 2208, 267, 588, 604, 1782, 5647, 543, 8066, 1394, 5092, 269, 9717, 519, 10335, 540, 519, 2804, 1764, 540, 519, 6855, 267, 971, 606, 6364, 1223, 24183, 519, 6051, 3646, 676, 6608, 269, 898, 1223, 849, 2061, 1007, 543, 6932, 10909, 10024, 519, 2344, 693, 513, 942, 950, 3846, 1143, 568, 18418, 2299, 2877, 563, 763, 744, 10064, 11225, 1870, 3846, 1143, 607, 5205, 912, 19968, 3846, 1143, 12211, 547, 3800, 540, 4332, 267, 2208, 543, 7771, 540, 4213, 543, 922, 1764, 593, 7694, 269, 589, 11931, 2557, 540, 1870, 5137, 543, 19479, 568, 2556, 585, 606, 4346, 547, 1332, 538, 519, 1279, 24507, 1317, 621, 2636, 1007, 2093, 547, 21707, 563, 288, 3668, 540, 1870, 3846, 1143, 1223, 1291, 547, 513, 24715, 566, 538, 7607, 543, 13230, 2208, 269, 898, 849, 5540, 7694, 998, 2242, 538, 2816, 5137, 543, 9552, 269, 769, 713, 2796, 267, 519, 5177, 779, 1034, 2487, 13864, 2557, 729, 476, 276, 10065, 901, 568, 519, 5207, 4137, 585, 2947, 1296, 543, 568, 10567, 547, 4473, 547, 476, 277, 269, 276, 260, 676, 519, 1439, 540, 476, 1708, 272, 269, 21661, 2789, 6080, 267, 972, 568, 1631, 513, 7678, 540, 9991, 1870, 3846, 1143, 609, 1507, 4213, 17528, 547, 2736, 856, 540, 741, 2199, 6990, 543, 1376, 5346, 3549, 4171, 5777, 616, 896, 12827, 676, 513, 2462, 15180, 269, 901, 5932, 14406, 3255, 538, 2474, 540, 2208, 267, 2816, 5137, 267, 543, 8375, 26038, 563, 2467, 814, 1044, 513, 4473, 538, 12388, 619, 543, 4203, 29792, 267, 2523, 10838, 8789, 10909, 267, 799, 568, 7700, 547, 891, 3466, 269, 11088, 267, 621, 568, 1271, 547, 21028, 602, 12388, 619, 543, 4203, 29792, 616, 711, 538, 2933, 513, 1966, 282, 789, 666, 6556, 1942, 9806, 543, 3132, 1732, 2472, 269, 1717, 267, 789, 666, 849, 14020, 15314, 585, 5647, 543, 7794, 513, 6109, 779, 2702, 547, 5279, 2362, 5777, 269, 5811, 2982, 602, 12388, 619, 543, 4203, 29792, 676, 8789, 10909, 3565, 547, 606, 2872, 17253, 7771, 538, 1870, 3846, 1143, 563, 2419, 5190, 538, 2344, 1379, 1813, 547, 519, 6855, 454, 763, 22558, 293, 14439, 1883, 10832, 585, 2344, 1379, 267, 971, 607, 519, 6871, 1665, 5346, 540, 5777, 936, 8589, 1942, 267, 543, 519, 5834, 540, 19614, 1851, 519, 2185, 7887, 5716, 538, 513, 5823, 269, 1715, 1382, 2982, 602, 891, 1883, 10832, 540, 2344, 1379, 616, 593, 519, 4473, 269, 898, 568, 6059, 602, 1813, 547, 519, 6855, 267, 713, 2333, 538, 2344, 17282, 1223, 1631, 2333, 538, 4359, 11615, 676, 693, 2547, 607, 1454, 607, 621, 1705, 538, 519, 19939, 1296, 547, 519, 1439, 540, 476, 1001, 276, 563, 17471, 3902, 1665, 13522, 723, 24111, 676, 811, 982, 476, 1789, 9077, 593, 3328, 267, 2066, 7396, 10909, 538, 4359, 11615, 2094, 476, 2735, 271, 269, 1656, 538, 519, 2250, 476, 736, 1296, 267, 1665, 5346, 4679, 538, 519, 3059, 5823, 723, 1044, 7466, 607, 14869, 607, 4346, 17253, 4679, 269, 9214, 1162, 538, 2344, 1379, 2066, 2789, 6080, 3361, 676, 519, 6855, 1131, 22652, 513, 7678, 602, 4422, 1394, 936, 2185, 5756, 563, 2005, 1223, 581, 11130, 602, 10909, 11981, 713, 2333, 538, 2344, 2671, 543, 2178, 12434, 568, 1175, 519, 8007, 585, 741, 2208, 269, 6270, 1967, 952, 1419, 513, 1267, 540, 5647, 267, 4398, 267, 543, 4824, 2533, 269, 1717, 267, 972, 616, 3395, 4191, 538, 1082, 6080, 602, 2344, 1379, 568, 4742, 31737, 8015, 606, 9000, 540, 2178, 15712, 585, 8789, 10909, 269, 898, 568, 6059, 602, 3549, 609, 519, 5207, 1665, 13522, 538, 513, 2016, 1032, 267, 723, 606, 3592, 476, 5952, 2600, 4960, 540, 6967, 513, 1164, 1665, 5346, 6109, 519, 1739, 1032, 269, 4340, 547, 4966, 267, 930, 540, 891, 4213, 723, 2813, 7127, 7496, 1107, 9431, 610, 2029, 9141, 1107, 799, 616, 11212, 1164, 563, 23178, 20289, 656, 681, 269, 966, 12609, 267, 513, 4759, 540, 519, 12463, 290, 540, 519, 15944, 7813, 540, 3127, 630, 305, 10292, 1070, 4767, 602, 538, 1896, 9922, 27537, 676, 606, 23731, 641, 565, 2065, 4295, 543, 513, 8013, 13020, 344, 267, 519, 23731, 641, 565, 2065, 4295, 814, 649, 9312, 519, 6855, 543, 621, 568, 519, 8013, 13020, 344, 602, 814, 1044, 3181, 4106, 730, 269, 29547, 12434, 543, 7443, 19114, 267, 5355, 4390, 3351, 5314, 543, 3668, 540, 1007, 4390, 23937, 1711, 22691, 2175, 585, 519, 23731, 641, 565, 2065, 4295, 547, 1376, 16706, 14499, 1379, 563, 763, 10256, 543, 12550, 11296, 6286, 540, 971, 14380, 538, 2344, 1379, 616, 2693, 547, 8428, 2066, 11615, 543, 1367, 6080, 269, 4634, 538, 1346, 6080, 602, 28322, 689, 519, 6433, 267, 971, 607, 519, 3059, 5823, 267, 8789, 5716, 616, 1851, 519, 7887, 23602, 269, 634, 2029, 2872, 814, 1044, 896, 519, 17209, 538, 2487, 1296, 267, 543, 5051, 519, 2462, 10509, 10909, 616, 896, 22987, 689, 22124, 1472, 519, 1158, 269, 634, 2344, 7519, 832, 602, 19774, 1651, 3518, 757, 1079, 5756, 3516, 723, 1831, 5051, 8789, 5716, 602, 798, 711, 3068, 519, 1482, 8013, 12503, 689, 2221, 779, 1131, 15515, 7519, 832, 269, 634, 6855, 568, 4946, 547, 3532, 5817, 4229, 971, 607, 3060, 2360, 543, 11615, 540, 4336, 543, 9165, 563, 288, 1007, 26273, 602, 6663, 547, 26193, 713, 2810, 17282, 540, 519, 10509, 23766, 814, 1044, 3964, 538, 519, 5177, 269, 634, 7913, 29714, 5149, 630, 19699, 308, 264, 786, 581, 1759, 3330, 519, 26269, 543, 29714, 16958, 269, 634, 20336, 308, 786, 1101, 1413, 547, 1711, 1007, 9479, 540, 2932, 585, 3549, 971, 607, 9365, 543, 5616, 543, 741, 2078, 609, 1543, 7426, 543, 6994, 23924, 269, 6355, 14199, 918, 13195, 328, 918, 23702, 1263, 1767, 519, 12512, 786, 581, 2048, 684, 1662, 3139, 569, 605, 16327, 564, 819, 17483, 763, 23937, 538, 7939, 538, 519, 5177, 2887, 538, 1899, 609, 519, 5583, 689, 519, 22558, 293, 269, 898, 15565, 602, 11941, 547, 6735, 1790, 32123, 10850, 991, 547, 581, 1500, 538, 1931, 547, 6922, 1047, 519, 8801, 2360, 540, 2344, 17282, 269, 6270, 11941, 1590, 267, 2705, 267, 581, 3358, 547, 3084, 6381, 267, 1312, 538, 2489, 543, 547, 2232, 519, 1808, 2591, 6659, 676, 519, 10006, 540, 519, 3059, 4346, 563, 2005, 15565, 519, 1739, 2947, 3527, 912, 268, 26269, 8128, 1058, 581, 5051, 21713, 950, 30191, 32421, 1852, 269, 634, 7355, 585, 6735, 8128, 547, 2689, 513, 4308, 1058, 3382, 782, 4143, 2665, 1107, 1519, 4203, 29792, 540, 1507, 5716, 602, 949, 1332, 547, 14526, 609, 8789, 10909, 563, 268, 5822, 267, 6735, 8128, 1058, 811, 8362, 17997, 10238, 1431, 593, 519, 6057, 540, 8789, 7158, 543, 1118, 3152, 946, 540, 2344, 13753, 547, 10625, 5739, 7180, 1510, 1022, 4080, 21556, 540, 519, 1876, 563, 268, 20523, 3646, 616, 2877, 547, 2327, 6735, 538, 3403, 6990, 267, 1519, 11668, 6990, 563, 268, 26269, 8128, 1058, 581, 23518, 547, 1832, 10605, 609, 519, 3059, 4346, 267, 1141, 519, 4473, 540, 2462, 1239, 543, 5841, 4987, 568, 14921, 1651, 3518, 550, 10909, 685, 5413, 269, 11120, 22626, 1239, 2823, 1464, 543, 954, 6016, 1464, 540, 1949, 666, 1118, 621, 4443, 585, 1007, 10909, 547, 14526, 609, 3964, 5716, 563, 268, 7767, 906, 949, 581, 2877, 547, 2417, 5818, 5823, 10391, 6791, 8015, 4028, 6639, 1689, 563, 763, 6433, 814, 1185, 513, 1713, 1764, 593, 782, 4213, 267, 609, 1082, 9505, 1154, 741, 9885, 585, 1434, 269, 1717, 267, 972, 814, 1044, 513, 3152, 2942, 1764, 593, 590, 10933, 338, 269, 4634, 538, 6080, 602, 723, 25577, 689, 519, 6855, 267, 621, 568, 519, 8789, 10909, 602, 723, 7153, 519, 7887, 23602, 269, 1703, 568, 6161, 602, 519, 2810, 2344, 1379, 786, 2611, 11251, 538, 1082, 11615, 267, 588, 604, 1782, 2104, 6735, 543, 2804, 2208, 269, 2755, 519, 2942, 2360, 540, 2799, 2344, 1379, 723, 1044, 9793, 865, 2484, 267, 519, 4681, 2303, 602, 6735, 8128, 1058, 581, 5051, 21713, 547, 2327, 602, 891, 2360, 798, 711, 1831, 811, 5739, 538, 519, 2104, 563, 18800, 338, 540, 6735, 3609, 10850, 723, 2907, 13175, 538, 930, 2101, 11615, 269, 8479, 267, 1164, 3766, 9512, 10909, 602, 3048, 622, 543, 1711, 1164, 7779, 6009, 17330, 513, 1377, 4730, 2361, 543, 513, 4023, 4960, 547, 8011, 269, 8081, 9859, 547, 590, 10933, 338, 568, 1271, 267, 607, 1082, 1507, 10909, 723, 1044, 8572, 547, 4324, 689, 2229, 15961, 2966, 547, 948, 10909, 1569, 14104, 1282, 519, 6855, 269, 22094, 2096, 5474, 1058, 957, 1631, 547, 2061, 513, 2417, 267, 8325, 4473, 538, 2344, 1379, 602, 1223, 3180, 1394, 519, 2022, 1790, 663, 2438, 6051, 563, 268, 1548, 616, 519, 7440, 585, 543, 1996, 519, 6351, 540, 513, 26771, 888, 268, 1548, 7496, 547, 7127, 949, 2291, 602, 2061, 1507, 10909, 689, 10024, 606, 2872, 888, 268, 1548, 4507, 666, 581, 8045, 547, 3970, 2344, 1379, 888, 268, 16294, 543, 2491, 2344, 3846, 1143, 563, 10376, 3018, 267, 18917, 15571, 476, 275, 13739, 338, 13220, 689, 513, 1433, 17626, 2213, 538, 2947, 476, 1428, 18826, 14501, 269, 769, 519, 3018, 4098, 476, 1240, 5130, 476, 1708, 272, 267, 519, 13220, 941, 689, 2296, 12815, 7394, 281, 1323, 769, 615, 13330, 676, 6276, 1234, 3316, 802, 267, 513, 16027, 689, 519, 595, 3518, 6929, 8593, 338, 269, 3571, 3484, 568, 5266, 1507, 267, 8720, 476, 6977, 14143, 563, 3891, 814, 13986, 547, 1118, 621, 1454, 811, 4264, 543, 1447, 14021, 267, 32543, 18166, 2757, 4173, 323, 19213, 13265, 267, 2348, 513, 7848, 540, 16933, 543, 13265, 2864, 982, 1175, 13265, 267, 513, 3152, 1016, 1673, 643, 1707, 540, 4610, 267, 543, 811, 2067, 28103, 1633, 267, 24435, 321, 9233, 543, 4054, 269, 1306, 513, 1267, 267, 3037, 2298, 814, 4824, 543, 972, 814, 1044, 606, 16411, 540, 9265, 267, 609, 606, 11606, 540, 3552, 5810, 543, 7786, 563, 30509, 689, 1373, 606, 26249, 540, 1010, 942, 607, 513, 16027, 543, 1010, 3801, 547, 1847, 2509, 811, 2757, 2409, 267, 519, 1433, 12116, 6626, 2152, 540, 6694, 6940, 269, 898, 5654, 693, 519, 12503, 540, 6800, 16462, 10464, 1426, 267, 519, 2344, 1379, 540, 2706, 5658, 1115, 543, 17783, 531, 619, 267, 519, 1942, 12503, 593, 6705, 11319, 873, 2509, 1395, 665, 11857, 547, 3035, 11615, 540, 4336, 267, 543, 519, 1909, 540, 519, 989, 878, 8707, 338, 2872, 5009, 6992, 23924, 267, 20555, 543, 13851, 799, 3142, 2110, 3856, 2883, 12374, 547, 6705, 267, 855, 799, 2014, 3476, 3856, 3441, 547, 519, 2244, 543, 547, 9265, 563, 3725, 3316, 802, 814, 6591, 3833, 513, 2603, 540, 2923, 3007, 1310, 519, 8313, 540, 1010, 1101, 1433, 267, 634, 2701, 23311, 779, 5020, 267, 1519, 1373, 835, 540, 519, 14538, 593, 19164, 6816, 5494, 338, 543, 519, 1641, 540, 606, 12558, 540, 634, 5253, 19510, 563, 8266, 523, 547, 519, 5253, 19510, 15264, 543, 2119, 16460, 519, 2055, 267, 799, 616, 782, 1759, 593, 519, 15264, 538, 519, 1931, 540, 519, 2798, 1500, 538, 519, 5967, 563, 268, 1548, 616, 519, 15314, 540, 606, 796, 29970, 2344, 585, 1426, 602, 1267, 538, 1395, 665, 11857, 543, 513, 2530, 540, 9265, 888, 268, 1677, 1018, 6708, 616, 6800, 3743, 585, 2242, 538, 8105, 2409, 888, 268, 5620, 519, 2242, 5280, 519, 4683, 4057, 888, 268, 1215, 568, 519, 1395, 3591, 3415, 1379, 540, 2706, 5658, 1115, 543, 1426, 17783, 531, 619, 18363, 593, 1426, 2504, 543, 519, 4806, 540, 6683, 888, 268, 1703, 616, 1585, 630, 1440, 10675, 264, 11615, 540, 4336, 538, 1426, 2504, 267, 855, 891, 1419, 4125, 8101, 5007, 3790, 543, 1279, 3856, 4357, 3790, 1932, 269, 1215, 1281, 713, 1764, 593, 2244, 946, 888, 268, 1548, 616, 930, 540, 519, 7182, 540, 2029, 538, 2810, 7693, 267, 5779, 543, 10683, 11729, 888, 268, 4024, 811, 2487, 2242, 538, 519, 4806, 540, 1426, 4616, 948, 547, 2333, 6404, 8105, 543, 9265, 888, 268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10600, 814, 2016, 803, 2189, 4030, 547, 3142, 1004, 1927, 5103, 3604, 538, 6791, 269, 1656, 30971, 267, 6148, 14693, 594, 3513, 1265, 8885, 10962, 5053, 5049, 3358, 4481, 585, 27503, 8030, 1107, 9327, 1405, 602, 581, 1945, 31841, 3383, 1934, 781, 1018, 594, 4312, 4121, 2429, 713, 3460, 281, 2760, 30391, 519, 1379, 540, 1739, 707, 2295, 267, 2523, 950, 621, 5012, 596, 1524, 23349, 10092, 269, 6884, 267, 8508, 1689, 1797, 4466, 3054, 4010, 1141, 596, 4866, 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, 20684, 281, 7073, 14579, 5678, 11819, 589, 3811, 267, 2442, 1153, 538, 3844, 3162, 5507, 814, 513, 1007, 7477, 3599, 476, 585, 606, 631, 14566, 11819, 540, 5053, 547, 1376, 5612, 1310, 519, 8285, 14812, 269, 1284, 2838, 513, 11285, 5053, 4116, 282, 4061, 5053, 1058, 581, 707, 2101, 1893, 269, 14755, 713, 267, 596, 991, 547, 1118, 519, 4245, 4277, 543, 596, 1058, 849, 723, 3450, 1995, 269, 7490, 3346, 7917, 26267, 693, 476, 6434, 272, 275, 4097, 1839, 269, 4937, 15440, 1284, 616, 5275, 513, 4937, 15440, 585, 938, 1007, 13186, 9744, 538, 1684, 3873, 267, 1627, 20345, 269, 634, 3811, 1367, 1058, 4865, 513, 25328, 781, 4110, 538, 7344, 4702, 267, 2059, 609, 476, 866, 547, 476, 1428, 1296, 262, 960, 1995, 538, 519, 13813, 1299, 13937, 267, 8891, 10635, 8707, 338, 267, 674, 23459, 6500, 610, 13149, 2872, 543, 18981, 12227, 2645, 543, 3937, 269, 589, 5934, 540, 2947, 1296, 262, 282, 1995, 538, 513, 9972, 31707, 4390, 568, 1898, 269, 15443, 573, 919, 567, 602, 723, 960, 1995, 538, 13323, 2477, 610, 538, 519, 5664, 5101, 616, 9415, 547, 4019, 269, 7490, 3346, 20574, 32573, 956, 693, 476, 6434, 272, 5379, 278, 1839, 269, 16010, 15440, 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, 8080, 547, 707, 3460, 998, 3504, 12977, 543, 741, 2069, 1949, 256, 5620, 596, 2479, 9289, 875, 3214, 4121, 5215, 540, 1296, 3516, 286, 2913, 781, 2263, 930, 4241, 2069, 2853, 689, 1472, 519, 1158, 780, 5331, 1373, 6026, 538, 513, 6264, 10689, 899, 519, 835, 693, 7935, 1188, 2160, 630, 6518, 649, 786, 1451, 827, 2663, 1040, 3767, 1577, 781, 979, 1394, 538, 942, 547, 3504, 5527, 267, 1141, 3506, 941, 1419, 4092, 2282, 17633, 269, 31279, 338, 5156, 602, 1565, 5280, 1004, 4196, 873, 1732, 267, 865, 789, 9415, 2069, 269, 4841, 1131, 1353, 2542, 267, 1603, 267, 2979, 267, 543, 1256, 4702, 256, 8479, 6690, 5631, 5059, 593, 1983, 2877, 585, 4881, 513, 7622, 267, 1247, 8695, 5423, 585, 6009, 899, 31163, 525, 610, 20577, 780, 3086, 267, 1577, 781, 5577, 936, 547, 3504, 10255, 1107, 519, 4332, 2897, 540, 9111, 269, 4256, 2069, 1062, 6322, 547, 1711, 1134, 25454, 4961, 945, 1223, 3565, 9797, 547, 2486, 269, 27258, 13984, 10026, 1153, 4358, 693, 2085, 5722, 267, 4974, 5396, 971, 607, 3332, 267, 2575, 267, 543, 2168, 2866, 269, 24771, 12322, 4682, 547, 15547, 19063, 1756, 338, 547, 1445, 593, 5026, 543, 2362, 7400, 2090, 269, 19759, 569, 267, 1034, 5259, 6690, 4769, 1405, 723, 1569, 547, 6101, 2069, 269, 1717, 267, 5763, 1512, 3885, 1522, 16926, 4357, 21493, 585, 873, 780, 9202, 267, 1577, 781, 3643, 3624, 1282, 519, 12390, 15913, 630, 19925, 476, 1220, 14514, 910, 476, 1220, 9460, 1040, 1358, 1185, 606, 6514, 1062, 547, 2824, 2229, 8387, 1759, 593, 20519, 2864, 982, 1920, 4296, 269, 25230, 22675, 8185, 6766, 2069, 267, 10771, 5837, 2418, 267, 2463, 585, 6392, 267, 543, 30190, 1353, 6208, 269, 4841, 6170, 1279, 3108, 8357, 1944, 5929, 5931, 267, 8026, 30951, 267, 543, 13215, 12980, 780, 12988, 547, 2413, 2053, 267, 1577, 781, 1413, 693, 519, 4087, 5018, 4505, 281, 7935, 1188, 2160, 538, 14411, 267, 4516, 269, 2755, 621, 949, 3100, 856, 540, 1747, 1851, 891, 3140, 23766, 267, 1620, 922, 2189, 4276, 547, 6805, 9082, 666, 4001, 721, 3407, 4245, 827, 13784, 543, 2463, 269, 7043, 1354, 3864, 13896, 8452, 267, 713, 1858, 20705, 547, 519, 670, 7596, 523, 6242, 2317, 324, 543, 1323, 880, 2088, 23042, 6082, 269, 3509, 5065, 2950, 1869, 8853, 972, 2221, 267, 22348, 3025, 602, 2069, 4386, 593, 3838, 3338, 896, 21308, 1063, 1114, 4529, 269, 1635, 9301, 713, 1686, 267, 7935, 1188, 2160, 11942, 513, 811, 8537, 1604, 585, 782, 922, 1053, 780, 1103, 3932, 267, 3695, 3504, 12977, 262, 3309, 2069, 1949, 2982, 1175, 875, 1271, 1565, 814, 1044, 2429, 1480, 1686, 269, 3245, 5527, 267, 10255, 267, 543, 3624, 547, 2413, 9945, 899, 7935, 1188, 267, 1142, 2528, 12595, 1702, 8335, 855, 8815, 593, 922, 4644, 269, 1924, 2436, 596, 5326, 540, 4742, 606, 11653, 267, 14544, 267, 4013, 267, 610, 4376, 3116, 267, 3314, 602, 9118, 5481, 723, 21490, 519, 1259, 585, 707, 3872, 3460, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1729, 8702, 289, 13702, 11053, 528, 15193, 476, 272, 32162, 16803, 476, 1789, 1295, 26858, 8065, 298, 523, 3467, 10418, 3162, 13332, 6424, 590, 269, 20989, 1692, 525, 14472, 531, 785, 2349, 21516, 10418, 585, 4132, 5516, 8899, 523, 31000, 4910, 2064, 1325, 30282, 12197, 307, 12447, 30271, 310, 1779, 518, 4467, 14658, 306, 7964, 6153, 2006, 3427, 540, 6355, 5719, 290, 1168, 1763, 2064, 774, 16824, 13216, 27144, 590, 14389, 269, 21969, 577, 8065, 1325, 30282, 22923, 28495, 516, 14880, 5576, 3000, 18975, 22810, 1763, 2064, 7935, 1188, 7420, 17206, 17345, 8490, 2419, 1144, 21547, 298, 20044, 773, 4467, 14658, 309, 4150, 324, 4910, 2064, 5522, 18054, 1284, 11760, 519, 2244, 593, 799, 7935, 1188, 2160, 729, 3710, 568, 519, 2757, 8513, 540, 519, 670, 7596, 523, 6242, 2317, 324, 543, 1323, 880, 2088, 23042, 9082, 267, 1082, 540, 7247, 3136, 547, 2661, 543, 960, 1934, 2221, 269, 901, 8513, 568, 4988, 676, 519, 16592, 4516, 6164, 625, 543, 568, 1369, 519, 2244, 6870, 676, 519, 667, 880, 609, 2290, 1975, 3019, 654, 2086, 636, 6876, 269, 4653, 713, 11018, 1747, 568, 1753, 547, 1082, 3689, 8315, 267, 5450, 529, 267, 543, 27478, 9082, 543, 14344, 19595, 721, 602, 938, 1390, 3044, 540, 2713, 568, 2047, 1644, 547, 519, 2200, 543, 11505, 540, 7087, 1004, 269, 13692, 24419, 514, 303, 822, 559, 542, 23991, 1684, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 26123, 6406, 3074, 262, 4065, 7010, 257, 607, 851, 540, 834, 3633, 24102, 1315, 3778, 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, 7689, 281, 4858, 2358, 910, 18181, 29133, 547, 3131, 325, 1254, 692, 5970, 596, 2479, 9289, 875, 707, 5172, 14060, 1711, 1346, 5023, 4248, 5944, 13035, 543, 29316, 5779, 8286, 286, 2290, 5986, 4480, 602, 568, 4122, 1031, 547, 3035, 713, 1267, 568, 1572, 2909, 2358, 269, 4858, 2358, 568, 513, 3500, 2275, 8504, 1505, 1141, 27162, 615, 11912, 540, 5779, 616, 1101, 694, 1563, 693, 1164, 3002, 547, 9376, 538, 741, 23238, 543, 1287, 1138, 332, 1229, 9900, 538, 5277, 2394, 789, 1831, 13621, 569, 2571, 543, 14095, 609, 8137, 269, 901, 3992, 786, 6338, 596, 547, 519, 9238, 540, 2909, 2358, 865, 602, 596, 1932, 666, 1711, 5863, 1292, 6030, 1318, 538, 707, 1378, 10051, 2439, 3963, 4858, 1047, 888, 2411, 692, 2691, 649, 1589, 827, 5986, 5779, 267, 1989, 3739, 610, 887, 8463, 1522, 2097, 547, 2247, 1101, 269, 1717, 267, 891, 2409, 5749, 1405, 2141, 5078, 585, 1169, 1826, 540, 5779, 269, 2368, 11912, 267, 899, 14132, 669, 3089, 610, 20230, 13105, 267, 2270, 6266, 540, 24561, 5160, 799, 2306, 873, 3501, 10457, 585, 2909, 2358, 269, 1879, 11273, 7444, 538, 5277, 267, 713, 20018, 9397, 1524, 883, 15074, 11294, 267, 4758, 519, 8670, 6909, 17381, 543, 3178, 269, 3958, 267, 2909, 2358, 2636, 721, 547, 1102, 2224, 16469, 609, 23599, 10366, 689, 1585, 4005, 902, 267, 5388, 267, 543, 27156, 780, 763, 17943, 540, 4858, 2358, 454, 2411, 19030, 2080, 781, 1018, 596, 3513, 991, 547, 1205, 3323, 609, 2909, 2358, 1384, 272, 269, 7994, 2659, 12338, 281, 1306, 5018, 4505, 267, 2824, 513, 2759, 540, 5779, 602, 814, 7899, 540, 24561, 5160, 269, 14755, 14132, 669, 3089, 543, 20230, 13105, 267, 824, 1434, 3681, 1331, 23758, 695, 3471, 267, 2110, 28937, 267, 543, 9269, 25427, 338, 780, 273, 269, 590, 792, 519, 29133, 281, 2776, 17742, 513, 5230, 1532, 2714, 15701, 1494, 630, 3697, 513, 10656, 14089, 264, 936, 5420, 30041, 3002, 269, 17897, 519, 5779, 609, 6070, 543, 14723, 267, 1287, 1039, 930, 3282, 547, 519, 3443, 269, 4495, 621, 781, 3905, 267, 1747, 519, 5779, 3330, 543, 694, 541, 1142, 2427, 2394, 621, 10953, 513, 8799, 6960, 12933, 1107, 713, 2356, 3217, 1472, 476, 274, 268, 275, 3764, 829, 2427, 269, 5213, 1405, 7340, 547, 798, 713, 1900, 282, 694, 2130, 2337, 13021, 538, 519, 23238, 543, 8591, 3063, 8137, 2439, 274, 269, 8073, 2659, 28966, 281, 2991, 694, 2130, 519, 5779, 267, 4894, 621, 689, 519, 1494, 543, 1305, 621, 11735, 269, 3767, 621, 781, 942, 547, 1628, 707, 8137, 3490, 676, 4946, 546, 5367, 19637, 267, 13342, 267, 20909, 267, 610, 1022, 824, 12906, 18267, 596, 899, 269, 13648, 873, 2394, 789, 2811, 21352, 539, 543, 29549, 267, 1287, 2554, 331, 10270, 519, 3443, 609, 513, 10943, 1662, 540, 9174, 267, 26185, 267, 610, 1216, 269, 2422, 513, 11308, 22635, 547, 1085, 7275, 909, 782, 1346, 17705, 6960, 11353, 12758, 547, 519, 5377, 540, 519, 1494, 780, 275, 269, 3244, 1067, 20405, 569, 281, 17776, 519, 694, 1563, 5779, 547, 519, 1494, 2059, 609, 2614, 5277, 547, 3382, 827, 1614, 6709, 11467, 540, 621, 269, 20780, 3388, 547, 513, 14974, 267, 1287, 2569, 519, 3002, 547, 1970, 267, 3382, 519, 1494, 267, 543, 1577, 621, 31652, 9900, 585, 1896, 3108, 269, 6744, 593, 519, 8670, 21237, 543, 1039, 811, 5277, 952, 2877, 780, 276, 269, 5685, 5109, 29110, 2583, 281, 4495, 519, 5779, 568, 2887, 268, 777, 691, 13035, 267, 5402, 4894, 621, 689, 519, 1494, 543, 8833, 519, 6967, 5277, 998, 513, 5386, 2173, 21983, 521, 10079, 269, 1411, 1631, 723, 513, 8949, 2909, 2358, 14036, 256, 4787, 574, 1055, 1022, 4430, 3170, 689, 519, 2627, 1354, 1210, 519, 14036, 547, 5848, 523, 519, 5779, 1586, 269, 17797, 519, 4005, 532, 952, 2556, 267, 543, 4196, 707, 20100, 7258, 2848, 3139, 19787, 267, 12277, 267, 30653, 267, 610, 7573, 780, 18698, 19176, 28690, 3414, 4858, 2358, 454, 14343, 21387, 3086, 602, 596, 1174, 519, 9238, 540, 2909, 2358, 267, 1946, 711, 2119, 19234, 609, 1114, 2686, 10366, 286, 5664, 3506, 1053, 2648, 1565, 827, 3309, 32345, 267, 543, 19176, 1426, 3091, 1082, 3255, 585, 3408, 269, 1280, 1383, 267, 19176, 9269, 1225, 787, 568, 606, 5140, 4367, 547, 14913, 7489, 10366, 1247, 1869, 1373, 3839, 585, 14987, 269, 1635, 6220, 5432, 5820, 971, 607, 9269, 543, 1225, 787, 8869, 267, 713, 8670, 2488, 513, 1390, 4358, 1448, 585, 10962, 1007, 16919, 543, 2553, 269, 15439, 1246, 519, 11600, 3177, 693, 519, 4098, 540, 713, 3184, 267, 1818, 2386, 547, 2909, 1047, 519, 9269, 7444, 2394, 621, 3587 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1692, 1677, 5192, 4530, 539, 1280, 853, 323, 8899, 749, 10790, 476, 26289, 2004, 454, 763, 3778, 540, 5254, 17762, 538, 8899, 749, 10790, 454, 763, 31969, 15435, 568, 711, 3908, 547, 2221, 779, 6107, 1107, 19315, 1100, 269, 2368, 5254, 17762, 630, 663, 741, 11213, 267, 23963, 19035, 5574, 264, 979, 1394, 513, 1297, 540, 7366, 540, 1296, 269, 2913, 779, 1491, 606, 5920, 693, 513, 1906, 540, 519, 4587, 3283, 543, 519, 14868, 827, 873, 602, 3361, 930, 3833, 23349, 5574, 2429, 519, 1686, 540, 11557, 1302, 10299, 3676, 912, 15463, 6647, 538, 8899, 749, 476, 26289, 2004, 454, 15463, 6647, 814, 2965, 1044, 1472, 2016, 602, 3504, 5259, 2053, 1107, 538, 5168, 267, 649, 28297, 519, 16380, 585, 519, 2012, 267, 799, 10199, 1797, 968, 1729, 14229, 752, 610, 31770, 892, 1107, 1034, 2693, 513, 4704, 547, 519, 3262, 540, 2960, 15087, 269, 10871, 11557, 1302, 3690, 4784, 8376, 4152, 7012, 1406, 11593, 2139, 2394, 1279, 1310, 519, 3968, 729, 6444, 538, 476, 4489, 280, 267, 2038, 3540, 31907, 1223, 1294, 602, 621, 729, 513, 1483, 3390, 1107, 519, 4936, 17169, 570, 9200, 3780, 5189, 513, 19231, 593, 21098, 532, 693, 1857, 14026, 547, 3801, 543, 16401, 519, 3262, 269, 3502, 1454, 568, 1634, 827, 2038, 8942, 547, 1521, 519, 2068, 267, 855, 581, 18507, 596, 14201, 1406, 1472, 1282, 519, 10629, 595, 1564, 639, 685, 23019, 5123, 281, 646, 23647, 602, 519, 21399, 581, 15891, 518, 2213, 609, 513, 1225, 1782, 4401, 2336, 763, 1966, 6157, 2760, 2479, 20374, 1107, 9956, 5219, 547, 15601, 607, 968, 4565, 3563, 726, 8046, 5608, 31552, 519, 6708, 540, 519, 15435, 269, 2290, 1455, 3661, 693, 519, 942, 729, 602, 519, 4576, 729, 15427, 676, 5521, 17486, 267, 799, 5526, 899, 606, 7805, 6609, 3177, 519, 21399, 602, 519, 16770, 10299, 2068, 7472, 563, 306, 344, 27489, 8899, 749, 10790, 454, 300, 11697, 729, 519, 16185, 540, 4781, 585, 32411, 538, 519, 1647, 6502, 1107, 519, 1620, 540, 519, 16770, 2366, 4576, 779, 10092, 543, 713, 2126, 6035, 4332, 547, 519, 4082, 281, 968, 288, 3781, 538, 519, 7916, 540, 19026, 5012, 547, 513, 10715, 593, 22358, 6100, 5221, 5204, 27489, 21399, 723, 513, 4412, 3748, 547, 642, 4314, 593, 741, 1378, 1310, 513, 1247, 267, 3875, 1004, 5156, 789, 941, 5701, 676, 1175, 827, 1022, 2126, 538, 519, 31969, 779, 1686, 2336, 2026, 519, 16770, 11843, 2068, 27636, 10146, 539, 267, 519, 2702, 547, 10826, 621, 2799, 269, 769, 476, 5002, 279, 267, 519, 28227, 1759, 3075, 25554, 1513, 534, 729, 2919, 543, 267, 1247, 711, 476, 1911, 260, 3608, 267, 729, 513, 7372, 4434, 269, 4706, 3668, 540, 4398, 538, 519, 24596, 3942, 540, 519, 31969, 3366, 547, 1776, 2068, 1373, 8246, 607, 513, 16185, 281, 13663, 269, 4595, 621, 8604, 602, 1346, 609, 1164, 905, 951, 1522, 581, 23174, 540, 32411, 267, 13663, 729, 1031, 547, 2014, 513, 16861, 8611, 267, 799, 729, 2808, 606, 11807, 1981, 1317, 13663, 1223, 581, 5701, 609, 844, 24100, 269, 6755, 27957, 5555, 16876, 1312, 891, 5574, 547, 11557, 1302, 3690, 4784, 8376, 1686, 563, 294, 517, 24335, 9996, 8899, 749, 476, 26289, 2004, 454, 6524, 519, 2395, 540, 6237, 31969, 4152, 267, 22167, 24335, 9996, 729, 1419, 19451, 585, 5204, 27489, 267, 607, 1510, 513, 17209, 267, 519, 1079, 1185, 5393, 13380, 2589, 543, 941, 4749, 14980, 269, 2986, 1576, 267, 952, 596, 941, 968, 30009, 892, 609, 519, 2068, 267, 596, 941, 538, 585, 606, 25031, 2126, 563, 2252, 596, 3494, 602, 6237, 11557, 1302, 3690, 4784, 8376, 4152, 543, 2126, 568, 606, 13943, 5650, 1631, 267, 2709, 513, 2219, 547, 519, 3983, 11570, 945, 1185, 16035, 610, 28227, 2126, 782, 1346, 1296, 3516, 1107, 543, 9684, 2696, 585, 13310, 11216, 2336, 30789, 2659, 11557, 1302, 3690, 4784, 8376, 28518, 10555, 538, 8899, 749, 10790, 454, 10214, 538, 891, 5483, 2395, 267, 621, 779, 12199, 856, 1330, 974, 748, 1139, 518, 4901, 547, 10004, 11884, 827, 519, 31969, 4152, 596, 1522, 610, 1522, 711, 581, 2348, 269, 4014, 621, 2306, 1434, 2631, 543, 1169, 18177, 267, 16770, 3742, 6738, 1575, 1590, 581, 2469, 998, 6296, 31969, 4152, 267, 621, 779, 1945, 602, 11129, 547, 7654, 1152, 581, 3254, 707, 7404, 543, 632, 11732, 1107, 607, 1134, 607, 1287, 267, 5310, 1152, 519, 14282, 543, 632, 11732, 596, 2461, 2348, 3023, 609, 2336, 3383, 875, 666, 596, 10018, 602, 596, 2461, 711, 19849, 21724, 538, 519, 1899, 693, 519, 536, 5474, 676, 513, 16705, 10992, 519, 4093, 540, 707, 31969, 9584, 286, 2107, 2061, 513, 1750, 2044, 2097, 689, 513, 8429, 6174, 16041, 609, 707, 29982, 7249, 7806, 6819, 596, 593, 968, 7424, 22619, 344, 892, 286, 3371, 616, 513, 7008, 540, 31452, 649, 4076, 2919, 547, 1832, 713, 10347, 1966, 896, 6227, 563, 1103, 845, 707, 631, 636, 538, 8899, 749, 10790, 454, 2171, 666, 5176, 5873, 596, 3458, 5446, 689, 1934, 256, 968, 1432, 798, 596, 5815, 267, 2995, 1250, 631, 636, 17373, 1411, 1589, 1352, 2048, 323, 581, 519, 2063, 1268, 596, 2048, 323, 7287, 1565, 827, 707, 31587, 11557, 1302, 3690, 4784, 8376, 9584, 267, 2705, 538, 1249, 972, 568, 606, 1935, 547, 938, 32408, 269, 1306, 4166, 607, 596, 16153, 1018, 596, 2461, 3257, 547, 631, 20207, 632, 11732, 267, 1373, 2025, 17469, 267, 1352, 779, 2469, 547, 6999, 547, 1832, 713, 8945, 865, 17401, 896, 12109, 1186, 621, 786, 711, 723, 519, 2702, 547, 1093, 651, 922, 9224, 856, 256, 2701, 3580, 1118, 3833, 2386, 602, 519, 30256, 798, 711, 1205, 513, 20726, 267, 610, 602, 519, 1964, 540, 519, 1920, 798, 711, 1589, 513, 3364, 267, 602, 1352, 3580, 538, 1249, 2842, 909, 1373, 513, 1390, 24343, 269, 2701, 3580, 1577, 596, 946, 1200, 2232, 267, 1352, 3580, 4585, 856, 585, 602, 2995, 5991, 5847, 6960, 1957, 12109, 3899, 538, 519, 13875, 267, 543, 32597, 267, 952, 596, 2461, 26752, 1352, 949, 1256, 2628, 585, 621, 269, 1924, 267, 952, 596, 3274, 666, 1406, 1832, 621, 547, 3054, 543, 596, 723, 547, 2995, 18825, 1107, 1217, 707, 631, 636, 2336, 289, 12864, 519, 1357, 538, 8899, 749, 10790, 454, 3086, 12997, 621, 779, 2241, 547, 3489, 2922, 267, 3608, 543, 4052, 31969, 9584, 1510, 1256, 17596, 547, 7866, 707, 3068, 538, 513, 4099, 269, 1703, 616, 3875, 1870, 799, 2709, 31969, 9584, 585, 1367, 4576, 610, 267, 952, 596, 6999, 547, 581, 11207, 2318, 538, 707, 4567, 267, 596, 666, 1491, 513, 5916, 1449, 799, 6227, 3388, 269, 2755, 972, 991, 547, 581, 1100, 2377, 541, 14536, 538, 1373, 18177, 827, 6296, 11557, 1302, 3690, 4784, 8376, 9584, 267, 621, 666, 1869, 581, 513, 2603, 811, 635, 325, 344, 547, 1433, 543, 2628, 2228, 543, 4309, 707, 4255, 538, 519, 13875, 563, 299, 5366, 700, 2354, 590, 1074, 590, 4721, 476, 26289, 2004, 12590, 454, 8170, 1576, 267, 519, 1152, 1505, 596, 3580, 581, 4625, 2386, 602, 1100, 835, 9060, 856, 827, 707, 11557, 1302, 3690, 4784, 8376, 4152, 568, 547, 1832, 621, 547, 3054, 630, 663, 707, 631, 636, 952, 596, 8359, 547, 1246, 1448, 1297, 835, 1657, 1040, 1403, 596, 6430, 602, 596, 798, 1616, 547, 1832, 707, 31969, 9584, 543, 519, 7766, 4093, 2123, 1287, 798, 3274, 602, 282, 952, 711, 267, 596, 3580, 1175, 723, 3054, 547, 16620, 563, 7775, 2560, 2142, 700, 3716, 543, 623, 9613, 454, 763, 824, 4244, 540, 1576, 568, 547, 711, 1832, 707, 31969, 10992, 513, 8945, 693, 782, 269, 7102, 7853, 945, 568, 16770, 3742, 1590, 581, 4180, 789, 616, 2348, 2922, 3023, 543, 267, 952, 972, 568, 606, 4316, 602, 789, 1522, 723, 26438, 513, 2068, 267, 547, 723, 5078, 11557, 1302, 3690, 4784, 8376, 4152, 269, 8489, 1684, 1411, 5192, 4530, 539, 1280, 853, 1091, 4639, 24104, 754, 10790, 476, 26522, 10619, 454, 8489, 1684, 1411, 5192, 4530, 539, 1280, 853, 1091, 12891, 2421, 10790, 476, 26522, 4029, 454, 8489, 1684, 1411, 5192, 4530, 539, 1280, 853, 1091, 589, 9807, 10790, 476, 26522, 3953, 454, 8489, 1684, 1411, 5192, 4530, 539, 1280, 853, 1091, 23108, 2023, 10790, 476, 26522, 2004, 454, 8489, 1684, 1411, 5192, 4530, 539, 1280, 853, 1091, 13368, 532, 5069, 10790, 476, 30203, 4905, 454, 8489, 1684, 1411, 5192, 4530, 539, 1280, 853, 1091, 9741, 2023, 10790, 476, 26522, 2568, 454, 8489, 1684, 1411, 5192, 4530, 539, 1280, 853, 1091, 22810, 2986, 18491, 690, 28418, 10790, 476, 30203, 1240, 454, 8489, 1684, 1411, 5192, 4530, 539, 1280, 853, 1091, 3212, 653, 699, 961, 10790, 476, 26522, 8287, 454, 8489, 1684, 1411, 5192, 4530, 539, 1280, 853, 1091, 1744, 597, 2917, 10790, 476, 26522, 5038, 454, 8489, 1684, 1411, 5192, 4530, 539, 1280, 853, 1091, 24104, 754, 10790, 476, 26522, 7597, 0, 347, 5415, 689, 281, 1923, 717, 714, 7116, 334, 5177, 13466, 454, 4415, 513, 6578, 540, 1175, 1269, 7785, 630, 28462, 30420, 264, 2443, 513, 6071, 8486, 339, 766, 3379, 547, 1018, 11608, 899, 11083, 299, 3008, 1942, 547, 1020, 2443, 1053, 689, 519, 2160, 540, 4993, 779, 16026, 685, 5441, 540, 7177, 2813, 513, 3684, 602, 779, 5827, 540, 1119, 532, 513, 21489, 782, 676, 3294, 563, 5475, 13215, 519, 5578, 950, 596, 2461, 2947, 1296, 2025, 267, 596, 4440, 1810, 1406, 2285, 1454, 2219, 547, 519, 6946, 29478, 540, 11263, 543, 561, 2167, 602, 779, 5340, 1169, 942, 596, 17063, 707, 10887, 269, 1809, 538, 4641, 267, 621, 779, 513, 7294, 1184, 269, 1548, 2306, 891, 4702, 2875, 779, 3684, 1256, 811, 11141, 568, 602, 621, 779, 13324, 676, 1175, 1079, 16546, 267, 543, 12346, 593, 513, 3126, 540, 24039, 543, 3001, 22203, 547, 4584, 909, 543, 1847, 513, 6292, 540, 15524, 601, 2167, 1472, 563, 5649, 2407, 2376, 9732, 5291, 2517, 4178, 3052, 714, 7116, 334, 16691, 16896, 270, 1001, 279, 270, 5400, 270, 10472, 268, 30420, 6879, 334, 601, 864, 268, 1399, 532, 268, 13681, 582, 2914, 553, 32472, 6823, 8584, 6879, 334, 652, 2590, 1532, 644, 1326, 13045, 10666, 1923, 717, 714, 7116, 334, 5177, 11406, 294, 714, 7116, 334, 5177, 3884, 1406, 707, 3328, 10509, 3135, 269, 17610, 267, 649, 2648, 2029, 543, 19269, 267, 855, 899, 1022, 1434, 562, 518, 323, 1782, 518, 267, 649, 2461, 849, 5461, 538, 2257, 543, 5100, 1374, 269, 18421, 1472, 721, 814, 1044, 6766, 676, 891, 2609, 267, 543, 621, 779, 938, 3804, 547, 2995, 519, 2984, 3297, 891, 11121, 2472, 267, 543, 547, 1832, 596, 593, 707, 19462, 827, 1018, 779, 4947, 1985, 563, 2750, 1051, 547, 1294, 5863, 6189, 596, 8910, 4123, 707, 15261, 19712, 4276, 585, 282, 5624, 4721, 602, 865, 541, 547, 1007, 543, 23257, 1819, 3859, 1949, 282, 13777, 22618, 26873, 543, 30173, 8043, 602, 1131, 1166, 13831, 1256, 6276, 20607, 282, 4108, 5647, 543, 32071, 992, 268, 24597, 2229, 2484, 806, 267, 543, 540, 1576, 267, 782, 6073, 540, 2520, 2131, 2528, 543, 9162, 269, 0, 307, 525, 8688, 566, 689, 10945, 454, 288, 512, 525, 8688, 566, 1759, 1055, 10945, 269, 28463, 2798, 661, 543, 674, 547, 1689, 519, 3337, 540, 519, 2699, 20372, 269, 28463, 519, 1793, 11107, 737, 267, 561, 267, 544, 593, 519, 2451, 547, 17967, 621, 267, 543, 1287, 596, 666, 8275, 875, 519, 512, 525, 8688, 566, 568, 4646, 563, 11328, 12401, 1063, 3213, 6254, 31515, 454, 280, 269, 272, 269, 274, 2776, 1948, 8099, 22430, 278, 4781, 645, 454, 10481, 6248, 2271, 340, 819, 540, 5564, 28745, 10606, 0, 6124, 14948, 1876, 16234, 9516, 513, 3915, 602, 1131, 1439, 513, 7333, 593, 8097, 23690, 3122, 18625, 5176, 3670, 1296, 1310, 519, 1533, 10288, 10125, 25653, 909, 543, 6569, 689, 25825, 563, 763, 3915, 9516, 676, 519, 1533, 14130, 2636, 2825, 543, 1382, 2516, 547, 3715, 10125, 538, 26130, 7297, 267, 1519, 681, 541, 11939, 7345, 267, 607, 1279, 607, 519, 10125, 616, 15865, 547, 543, 711, 3362, 3015, 547, 519, 1857, 269, 898, 1185, 5892, 5293, 519, 13909, 563, 302, 344, 3122, 15135, 4196, 607, 513, 2067, 6882, 602, 4894, 17694, 267, 21439, 543, 23606, 689, 25825, 269, 12207, 849, 1294, 873, 607, 513, 1761, 1259, 540, 12765, 7675, 19126, 543, 13272, 6050, 1996, 7088, 1147, 2471, 543, 11761, 563, 20245, 2516, 1185, 3964, 1079, 8097, 18625, 538, 6206, 1636, 543, 4414, 7813, 1354, 519, 1533, 10288, 873, 6569, 538, 476, 1001, 271, 267, 19696, 4145, 602, 1093, 18291, 1522, 21102, 519, 30114, 639, 802, 543, 6133, 873 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 834, 5765, 856, 257, 540, 6401, 753, 538, 3567, 267, 4122, 1634, 607, 2098, 664, 24734, 269, 17214, 676, 519, 12021, 4830, 4670, 20447, 15173, 5754, 385, 493, 978, 1606, 4157, 630, 321, 269, 476, 3422, 273, 1070, 519, 4670, 7740, 1472, 519, 536, 1014, 333, 783, 9161, 540, 4378, 3240, 16230, 521, 1263, 523, 630, 26569, 269, 834, 1372, 743, 9653, 540, 835, 781, 3312, 2012, 8442, 602, 729, 21892, 693, 2549, 698, 30245, 4400, 3427, 538, 14642, 10440, 267, 3567, 267, 538, 519, 3735, 476, 1960, 271, 338, 269, 4438, 4378, 3240, 16230, 521, 1263, 523, 267, 2098, 664, 24734, 1053, 1435, 331, 1227, 17551, 741, 834, 298, 17671, 257, 4408, 607, 741, 3020, 4408, 267, 2864, 982, 519, 5545, 512, 338, 19476, 1889, 328, 630, 26569, 269, 834, 10139, 532, 2012, 8442, 676, 799, 789, 1185, 5892, 1044, 1634, 269, 1234, 8010, 532, 3776, 18780, 20186, 519, 1483, 543, 2618, 545, 2591, 2098, 664, 24734, 1053, 3068, 950, 14324, 1063, 741, 1079, 4408, 267, 607, 1134, 607, 519, 2123, 543, 1514, 10096, 7923, 547, 1142, 563, 307, 578, 731, 519, 1439, 540, 519, 4670, 267, 513, 2098, 664, 24734, 2875, 14753, 547, 519, 5304, 538, 3162, 9705, 3842, 606, 5967, 609, 519, 8689, 269, 901, 2875, 1185, 6074, 547, 11904, 1010, 6803, 3961, 7298, 676, 30418, 1010, 4378, 3240, 16230, 9497, 13092, 2012, 21968, 11114, 2012, 264, 607, 623, 752, 590, 385, 493, 978, 3917, 784, 538, 4395, 540, 1010, 5545, 15032, 269, 8616, 1018, 646, 3081, 538, 4395, 540, 519, 8254, 568, 711, 513, 3948, 827, 519, 32252, 14613, 646, 8188, 538, 3567, 607, 2098, 664, 24734, 267, 855, 513, 25442, 7662, 585, 6401, 753, 547, 5431, 2098, 664, 24734, 2152, 609, 6568, 269, 1261, 4422, 593, 547, 2446, 1496, 17484, 8525, 476, 28178, 316, 602, 835, 540, 1010, 2098, 664, 24734, 2828, 4810, 6803, 7130, 1282, 1200, 3643, 547, 3162, 9705, 267, 11021, 602, 2098, 664, 24734, 6401, 753, 616, 1869, 15865, 538, 741, 834, 327, 558, 14657, 257, 1256, 1310, 543, 5103, 2348, 28815, 519, 818, 706, 748, 543, 7920, 1995, 540, 29379, 532, 11114, 3961, 269, 18391, 693, 519, 8254, 267, 646, 22587, 547, 519, 3162, 11114, 5304, 547, 5431, 519, 6228, 540, 2098, 664, 24734, 563, 20751, 2098, 664, 24734, 2950, 267, 2152, 4478, 6803, 3961, 723, 1279, 1044, 2808, 3978, 1514, 267, 2797, 267, 3656, 267, 543, 5626, 4145, 269, 1717, 267, 607, 590, 385, 493, 978, 3917, 784, 781, 6376, 1093, 793, 14688, 8761, 267, 538, 519, 12687, 540, 971, 8090, 540, 3903, 1063, 27524, 582, 10535, 10092, 540, 3961, 267, 972, 568, 606, 11972, 1995, 540, 16236, 602, 814, 7283, 782, 855, 15865, 538, 3162, 9705, 269, 22702, 609, 519, 3448, 15287, 538, 2487, 1296, 540, 2098, 664, 24734, 1053, 1369, 519, 11114, 6803, 2069, 1062, 267, 11269, 540, 519, 7294, 6803, 3961, 540, 2098, 664, 24734, 543, 519, 1644, 2152, 540, 741, 8429, 538, 5545, 2486, 616, 10355, 1336, 538, 3162, 11114, 8874, 563, 3725, 8010, 532, 3776, 18780, 6212, 5097, 593, 9446, 532, 267, 538, 2366, 14939, 2474, 267, 519, 4090, 950, 2098, 664, 24734, 1053, 1796, 1354, 741, 5545, 15032, 543, 17551, 2933, 17801, 1227, 11114, 269, 8616, 267, 593, 5496, 267, 713, 9161, 5526, 811, 607, 513, 2773, 540, 8076, 3961, 982, 513, 21533, 540, 621, 269, 6270, 5605, 2526, 1878, 3976, 1289, 938, 3007, 547, 519, 1082, 6286, 540, 513, 2259, 602, 1226, 919, 519, 3903, 1063, 4408, 609, 519, 3903, 547, 1780, 610, 547, 834, 2492, 856, 1701, 9717, 602, 1034, 2098, 664, 24734, 1053, 723, 5030, 609, 741, 5545, 4408, 741, 2898, 2729, 267, 547, 1018, 6708, 666, 649, 2543, 519, 11114, 2012, 607, 834, 13092, 257, 543, 519, 5545, 2012, 607, 834, 325, 820, 257, 610, 834, 320, 24320, 1047, 22172, 1403, 2098, 664, 24734, 1053, 798, 834, 577, 5366, 257, 547, 946, 741, 4378, 3240, 16230, 267, 547, 1018, 6708, 1281, 713, 19101, 540, 3961, 2285, 19479, 547, 2055, 540, 13597, 286, 1403, 519, 9161, 540, 834, 516, 8010, 532, 938, 4408, 257, 2965, 7475, 909, 31328, 513, 6433, 540, 3961, 267, 538, 1018, 2081, 798, 3872, 5238, 3337, 713, 957, 540, 1582, 16162, 10293, 883, 835, 540, 6803, 25863, 888, 8253, 1152, 616, 891, 2055, 2451, 796, 637, 9407, 538, 1234, 8010, 532, 3776, 18780, 267, 855, 519, 4670, 3294, 814, 6659, 20718, 4145, 1496, 17484, 8525, 476, 28656, 316, 827, 13597, 602, 9765, 519, 6302, 540, 1257, 7081, 269, 6168, 4557, 3764, 540, 22089, 602, 5526, 538, 1234, 8010, 532, 3776, 18780, 729, 711, 2965, 8929, 676, 15173, 5754, 385, 493, 978, 1606, 4157, 855, 676, 519, 2098, 664, 24734, 4670, 20447, 18708, 962, 517, 724, 328, 630, 321, 269, 476, 3422, 275, 264, 607, 851, 540, 18708, 781, 2110, 17245, 634, 590, 3118, 532, 13336, 630, 312, 675, 745, 737, 758, 19660, 267, 476, 1960, 277, 1040, 589, 1906, 2395, 1310, 15173, 781, 4670, 6566, 328, 1229, 693, 519, 476, 274, 6113, 22084, 534, 4139, 17912, 16635, 630, 1877, 12898, 645, 9281, 293, 1070, 18708, 2366, 513, 5048, 3823, 519, 18977, 946, 540, 1200, 4670, 538, 1234, 8010, 532, 3776, 18780, 547, 1896, 14786, 543, 4670, 17476, 538, 3162, 9705, 269, 769, 519, 8545, 3368, 540, 476, 1960, 279, 267, 519, 15539, 936, 891, 1079, 32026, 2919, 883, 835, 540, 519, 1034, 8701, 1944, 27900, 547, 30908, 519, 1862, 0, 27306, 267, 24178, 267, 543, 24101, 699, 2998, 314, 12575, 9948, 590, 10176, 1495, 22506, 634, 1523, 540, 7329, 25372, 2501, 689, 590, 10176, 1495, 22506, 1412, 338, 7293, 2203, 269, 4340, 547, 713, 3069, 267, 7329, 25372, 616, 1759, 593, 519, 12257, 6240, 281, 590, 10176, 1495, 22506, 5156, 602, 519, 7329, 4564, 6211, 15859, 783, 25372, 538, 3425, 267, 971, 607, 14699, 20537, 520, 657, 610, 519, 12280, 15859, 543, 14920, 661, 4592, 610, 519, 5020, 15859, 269, 1280, 1383, 267, 950, 519, 7329, 25372, 552, 563, 9288, 2559, 3359, 540, 12472, 776, 7827, 7849, 19139, 267, 18726, 3220, 3424, 267, 631, 20706, 543, 22319, 10046, 5843, 5271, 1828, 4720, 593, 513, 1507, 8397, 4016, 547, 519, 2242, 538, 27446, 12451, 1369, 513, 2582, 2551, 269, 1325, 548, 548, 12451, 538, 513, 2551, 949, 1689, 1813, 547, 2185, 4909, 4229, 540, 4720, 281, 631, 20706, 616, 519, 10700, 2707, 540, 1007, 27586, 538, 513, 5444, 7535, 563, 10521, 540, 519, 1034, 4143, 6127, 540, 12105, 1689, 616, 281, 7849, 19139, 543, 18726, 3220, 3424, 269, 2290, 540, 519, 1292, 11786, 2152, 538, 2551, 11976, 568, 7255, 609, 519, 3448, 2956, 540, 1312, 6127, 538, 8159, 12105, 2242, 563, 20332, 5542, 2356, 2392, 558, 7149, 538, 1804, 5095, 6466, 4719, 20847, 1281, 865, 538, 1507, 3283, 269, 12472, 6411, 998, 2067, 5542, 17929, 10285, 543, 4719, 7907, 602, 6961, 25368, 547, 6668, 7173, 841, 883, 2104, 5481, 269, 634, 19469, 2360, 540, 2067, 5542, 1184, 723, 4758, 4473, 547, 5095, 602, 723, 7960, 547, 8011, 538, 1808, 5054, 563, 20332, 5542, 13333, 676, 11186, 10285, 1967, 8516, 540, 2043, 269, 634, 1184, 949, 2014, 5444, 14726, 547, 14897, 4625, 267, 7551, 4227, 4719, 13260, 563, 1103, 4334, 547, 2067, 5542, 267, 2825, 610, 13261, 12503, 798, 711, 5397, 2242, 1813, 547, 4719, 20847, 269, 634, 1198, 540, 4719, 20847, 568, 3677, 538, 1507, 5095, 543, 4130, 538, 1804, 5095, 269, 18726, 20847, 568, 513, 32094, 1184, 267, 513, 4351, 2680, 602, 4523, 676, 4960, 538, 2470, 602, 7506, 610, 2242, 27446, 4908, 1369, 513, 2551, 607, 513, 1267, 540, 10386, 5470, 689, 5108, 547, 5108, 563, 2005, 949, 4755, 602, 930, 27586, 616, 4625, 4503, 1369, 513, 5108, 1813, 547, 4719, 20847, 267, 1256, 952, 789, 616, 6225, 7592, 602, 2932, 547, 12105, 543, 10285, 1967, 269, 1325, 548, 548, 568, 3989, 607, 1022, 835, 540, 1079, 610, 811, 6090, 602, 949, 2049, 4244, 569, 693, 513, 2016, 3135, 30580, 593, 513, 15694, 563, 2704, 548, 956, 616, 3743, 585, 7648, 538, 513, 16023, 269, 634, 2551, 4420, 331, 2940, 1188, 543, 513, 13653, 1198, 616, 1079, 1806, 540, 4351, 20847, 602, 666, 723, 1713, 2360, 538, 1507, 5095, 563, 7049, 2045, 20847, 1568, 593, 782, 13592, 543, 666, 5555, 3565, 547, 519, 5137, 540, 513, 1007, 2249, 676, 1797, 540, 519, 13250, 540, 1875, 14194, 28922, 13592, 602, 666, 7520, 2551, 30834, 1707, 269, 898, 568, 513, 4351, 2680, 267, 538, 799, 930, 6090, 972, 568, 711, 1022, 11984, 616, 24773, 1639, 689, 519, 2551, 563, 1607, 2164, 538, 513, 27290, 5786, 540, 519, 2698, 4719, 4763, 540, 519, 3312, 5444, 7535, 269, 634, 1507, 17005, 2551, 568, 14320, 581, 20991, 689, 519, 3312, 835, 538, 922, 4719, 17539, 269, 11754, 1112, 633, 2068, 568, 6870, 676, 606, 5044, 540, 954, 24286, 2790, 8878, 6127, 602, 2882, 24677, 267, 6922, 1436, 267, 7214, 1436, 267, 16879, 267, 543, 7787, 1436, 563, 9377, 1619, 6127, 616, 1808, 18840, 20200, 531, 3270, 540, 2623, 602, 1267, 950, 1480, 1949, 1107, 2436, 593, 519, 1367, 267, 1920, 267, 1514, 267, 2686, 267, 3084, 610, 2518, 2157, 910, 1491, 593, 1880, 1016, 9953, 2711, 7293, 19383, 563, 4322, 7293, 19383, 1020, 538, 3210, 547, 8194, 267, 513, 2783, 610, 2680, 602, 16398, 519, 1062, 267, 1102, 2590, 532, 593, 922, 2702, 547, 2743, 922, 1480, 2115, 269, 15706, 607, 31469, 540, 4317, 27798, 21194, 7827, 654, 294, 308, 15706, 607, 31469, 540, 4317, 27798, 21194, 7827, 31474, 2098, 539, 784, 729, 4535, 593, 5412, 476, 2918, 23463, 538, 21373, 534, 19435, 267, 3624, 267, 547, 513, 7573, 16027, 563, 19091, 7816, 568, 513, 4015, 540, 3157, 676, 799, 513, 1591, 14439, 543, 2953, 338, 3441, 547, 519, 5027, 6675, 602, 31391, 922, 943, 8686, 338, 2593, 1480, 2281, 267, 1312, 3339, 10894, 2238, 543, 2825, 2188, 971, 607, 5982, 666, 2014, 5027, 3441, 267, 4611, 538, 607, 1082, 607, 476, 272, 2929, 1367, 7636, 15087, 829, 1591, 829, 1554, 563, 6624, 540, 891, 15087, 2014, 7293, 3441, 547, 519, 5027, 11140, 543, 269, 1018, 616, 519, 6127, 540, 2686, 1689, 269, 18236, 267, 934, 738, 4851, 267, 4830, 8798, 269, 1018, 568, 14051, 563, 320, 3126, 540, 3157, 2324, 547, 3895, 1689, 538, 513, 1158, 538, 799, 6082, 543, 1004, 616, 5051, 5532, 269, 1018, 568, 1958, 738, 4851, 269, 1184, 676, 1547, 19413, 267, 13495, 11253, 267, 13162, 543, 20900, 15706, 607, 9697, 3315, 7370, 540, 4317, 7827, 630, 11243, 540, 9906, 264, 4317, 2242, 998, 26201, 267, 11407, 3252, 267, 543, 17565, 10593, 630, 5408, 918, 7795, 333, 267, 3738, 616, 519, 23376, 1379, 540, 519, 1158, 3140, 4720, 607, 621, 7575, 4464, 585, 1646, 543, 3356, 269, 0, 763, 10969, 566, 540, 5046, 268, 866, 814, 12936, 1175, 827, 1169, 2460, 540, 1554, 3562, 6377, 1272, 267, 1519, 519, 1259, 649, 2461, 1572, 547, 8661, 519, 476, 2004, 628, 16683, 540, 3047, 4303, 269, 2060, 7864, 6517, 593, 519, 9897, 543, 14742, 538, 519, 6607, 267, 1082, 540, 721, 616, 7487, 4824, 2011, 2298, 543, 4389, 8511, 3154, 5434, 269, 1452, 2242, 616, 10151, 543, 723, 2097, 693, 513, 16854, 1942, 267, 855, 789, 3717, 547, 938, 7104, 1379, 547, 1764, 519, 1072, 540, 938, 4541, 563, 4407, 649, 2461, 9308, 9674, 1318, 1631, 267, 972, 616, 7899, 540, 2081, 649, 666, 2097, 1927, 713, 3047, 4303, 547, 8661, 543, 2149, 713, 7415, 4541, 269, 3371, 616, 2947, 2081, 596, 666, 1491, 2962, 689, 707, 1753, 563, 268, 13028, 1175, 875, 1187, 630, 663, 3872, 264, 1948, 24618, 21196, 4263, 12709, 666, 581, 609, 8331, 779, 3047, 4303, 476, 2004, 628, 7788, 15208, 15484, 18145, 543, 3047, 4303, 693, 5851, 4015, 269, 3245, 513, 1857, 3381, 3014, 602, 7851, 14147, 18625, 547, 513, 1948, 299, 1115, 30395, 29310, 700, 9680, 302, 4161, 267, 8331, 814, 16432, 513, 2647, 2039, 540, 3872, 23877, 267, 7044, 267, 552, 268, 9248, 267, 2228, 3756, 543, 5985, 8924, 585, 6267, 540, 782, 6502, 547, 2972, 563, 268, 8281, 519, 3047, 7420, 476, 1708, 271, 813, 547, 1491, 851, 538, 519, 1158, 779, 4102, 12504, 2257, 11036, 676, 2921, 5961, 540, 5068, 543, 2011, 5533, 2282, 596, 547, 948, 4434, 2825, 1382, 563, 268, 570, 2317, 883, 835, 540, 519, 1082, 3059, 3047, 4303, 16873, 2921, 1747, 269, 1411, 666, 2972, 1804, 8397, 2621, 899, 519, 476, 2190, 16923, 2048, 24618, 4303, 476, 2004, 685, 11812, 267, 519, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5065, 543, 521, 1144, 2250, 999, 267, 3056, 547, 2530, 540, 2030, 9265, 543, 4389, 7693, 11729, 269, 12721, 609, 5065, 2831, 543, 6469, 13184, 585, 1426, 543, 12062, 267, 2810, 21737, 2604, 543, 16715, 519, 2244, 779, 8876, 4390, 563, 3963, 1705, 17544, 3262, 865, 3533, 538, 5245, 888, 3528, 519, 3735, 476, 3707, 271, 338, 519, 15529, 2551, 1185, 6385, 2799, 547, 476, 7785, 2929, 269, 901, 729, 1813, 547, 513, 1297, 540, 1164, 11811, 1296, 609, 7766, 1434, 3771, 341, 3949, 267, 607, 1134, 607, 519, 5822, 2622, 2782, 267, 799, 1185, 4389, 812, 12741, 585, 29212, 543, 20545, 5826, 563, 3963, 616, 17544, 17049, 538, 24368, 888, 305, 13741, 1080, 3548, 27892, 543, 7031, 267, 14526, 609, 5065, 2831, 267, 2014, 3037, 11761, 267, 543, 2061, 20344, 540, 5065, 10664, 269, 28038, 543, 9513, 17544, 538, 24368, 568, 10363, 543, 20507, 4019, 269, 2560, 31594, 568, 513, 11658, 12362, 3662, 896, 519, 4437, 846, 2579, 2920, 476, 1001, 275, 563, 1432, 568, 519, 1292, 2601, 585, 2249, 2530, 538, 5245, 888, 6097, 547, 519, 6167, 1867, 689, 519, 3955, 32744, 3163, 6261, 32123, 25957, 585, 26085, 543, 23270, 7896, 630, 7709, 289, 2464, 264, 799, 4547, 713, 3510, 547, 1857, 3007, 267, 713, 1376, 1782, 1297, 568, 513, 12343, 540, 2947, 1463, 3123, 281, 2242, 538, 2244, 543, 4262, 946, 282, 1463, 14226, 540, 7103, 282, 2916, 1689, 282, 6693, 4692, 17544, 609, 1250, 343, 25959, 2670, 7639, 888, 1432, 568, 1250, 343, 25959, 2670, 286, 3733, 343, 25959, 2670, 568, 513, 4049, 267, 2356, 14603, 267, 10194, 2068, 269, 2560, 634, 2068, 3788, 513, 1981, 2221, 267, 547, 1312, 3552, 543, 4620, 17544, 269, 634, 8650, 1106, 666, 6146, 513, 15529, 1369, 476, 1015, 2395, 543, 519, 5312, 1106, 1369, 1079, 4374, 267, 4352, 930, 17544, 798, 7639, 713, 563, 3674, 1250, 343, 25959, 2670, 513, 812, 1500, 3644, 888, 7069, 343, 25959, 2670, 568, 606, 5140, 1383, 540, 1018, 4386, 950, 513, 3644, 26357, 689, 513, 2249, 9862, 547, 621, 547, 513, 14255, 633, 3984, 267, 543, 814, 1044, 14916, 6594, 585, 713, 2601, 269, 634, 3644, 729, 17543, 5189, 538, 5245, 267, 5333, 267, 543, 16266, 538, 519, 476, 4198, 271, 338, 547, 1852, 3552, 3864, 15529, 5095, 563, 4692, 3425, 1205, 1250, 343, 25959, 2670, 689, 17544, 888, 3674, 1250, 343, 25959, 2670, 21380, 547, 3425, 286, 3143, 269, 2755, 519, 1250, 343, 5448, 3644, 666, 4283, 930, 1480, 2281, 267, 621, 568, 711, 7989, 1170, 633, 547, 10194, 18643, 2899, 972, 269, 1306, 513, 1267, 267, 1250, 343, 334, 568, 711, 2808, 513, 1990, 3019, 5328, 2068, 630, 6518, 4016, 547, 8290, 602, 666, 581, 3262, 689, 2831, 547, 1004, 1916, 1692, 798, 594, 917, 952, 1250, 3552, 15529, 814, 1250, 343, 25959, 2670, 888, 1432, 616, 519, 4191, 540, 1250, 343, 25959, 2670, 286, 634, 1101, 1129, 568, 25858, 344, 11926, 1472, 519, 2212, 543, 3068, 269, 2048, 28036, 344, 4064, 685, 616, 513, 5929, 1129, 2059, 609, 22224, 17534, 267, 2220, 32478, 593, 519, 3330, 540, 519, 1274, 543, 25858, 344, 11926, 1472, 519, 5377, 543, 1024, 8558, 269, 10738, 513, 1554, 610, 865, 267, 891, 2220, 32478, 666, 1831, 865, 4049, 789, 2014, 21901, 563, 4692, 17544, 1780, 3676, 547, 5243, 888, 305, 13741, 1080, 666, 849, 4163, 7904, 553, 543, 24217, 269, 3502, 1152, 1223, 707, 2915, 5732, 1205, 7904, 553, 610, 24217, 689, 519, 15529, 952, 646, 3357, 883, 3346, 609, 621, 267, 855, 891, 15495, 666, 4163, 1079, 1360, 3978, 4551, 281, 570, 592, 732, 8926, 543, 519, 20575, 256, 570, 592, 732, 8926, 568, 3361, 676, 513, 4551, 1572, 21473, 30241, 7578, 32482, 732, 985, 529, 563, 4692, 17544, 3262, 2068, 547, 3425, 888, 307, 592, 732, 8926, 267, 610, 15529, 8611, 267, 568, 513, 9190, 2068, 2404, 609, 1312, 2831, 543, 3425, 269, 4014, 1082, 3552, 543, 6469, 2831, 666, 581, 7783, 267, 519, 15529, 568, 1034, 1419, 3238, 538, 2068, 17061, 269, 570, 592, 732, 8926, 568, 5266, 4686, 538, 13325, 282, 2947, 610, 7864, 2665, 616, 4080, 1142, 1032, 269, 0, 3080, 540, 519, 7887, 2188, 538, 513, 17104, 28056, 779, 2797, 3961, 568, 875, 1279, 1010, 610, 1200, 1920, 814, 1044, 538, 519, 2136, 2276, 269, 1280, 3236, 267, 4914, 23899, 5824, 657, 543, 519, 772, 2529, 11607, 9799, 1453, 540, 21337, 11082, 4043, 547, 581, 811, 14891, 982, 5824, 657, 4171, 3885, 723, 1044, 538, 519, 772, 2529, 269, 585, 693, 2547, 1614, 5481, 269, 4340, 547, 21337, 5463, 2888, 779, 9550, 3887, 557, 3542, 267, 1101, 22831, 17104, 4892, 272, 941, 476, 1321, 6871, 2798, 811, 2693, 982, 3791, 268, 610, 2362, 22831, 17104, 4892, 547, 1489, 22735, 538, 476, 1001, 277, 630, 10019, 2600, 5288, 269, 476, 7761, 2600, 1070, 4352, 1312, 2516, 9244, 6462, 1200, 936, 11686, 563, 2108, 6624, 21337, 4892, 666, 10250, 741, 1920, 1686, 547, 1354, 519, 2136, 2276, 729, 519, 2136, 2276, 2223, 3081, 9253, 20811, 631, 7865, 28952, 267, 513, 7548, 693, 9093, 5979, 5441, 945, 2090, 21337, 6214, 269, 630, 11854, 32496, 267, 476, 3953, 2600, 540, 21337, 10805, 17037, 616, 3791, 5108, 610, 2362, 267, 2687, 547, 623, 1168, 3194, 4741, 779, 476, 1001, 280, 2817, 11752, 540, 5824, 657, 4700, 968, 4517, 789, 723, 513, 1360, 1114, 5133, 689, 11570, 945, 616, 6251, 547, 519, 11776, 1995, 3034, 294, 776, 21540, 3120, 267, 513, 1071, 1922, 10133, 543, 9972, 7649, 693, 21337, 5463, 2888, 267, 12034, 1312, 2804, 543, 2686, 2188, 693, 1404, 269, 3689, 267, 2362, 22831, 17104, 4892, 616, 6010, 601, 1512, 547, 581, 2362, 4747, 267, 799, 562, 644, 2471, 873, 4724, 519, 17044, 2427, 540, 519, 513, 529, 548, 269, 1809, 741, 17104, 3961, 849, 11148, 547, 581, 21260, 269, 0, 291, 830, 589, 1684, 7999, 12791, 454, 3674, 513, 29784, 513, 18797, 606, 4082, 888, 763, 2165, 29784, 676, 519, 18797, 4016, 547, 1945, 1360, 10731, 267, 1455, 543, 4061, 20522, 269, 589, 8360, 602, 8385, 6039, 607, 513, 1871, 585, 2724, 814, 7960, 883, 513, 8360, 602, 1797, 1945, 3592, 24631, 1813, 547, 922, 1455, 543, 2653, 8244, 563, 3528, 519, 1259, 267, 1018, 2592, 616, 513, 18797, 888, 4131, 781, 1491, 513, 6251, 1413, 693, 519, 2495, 540, 519, 2165, 513, 18797, 21347, 269, 901, 2165, 1797, 602, 1945, 568, 1360, 1455, 267, 20522, 267, 610, 7839, 563, 2026, 728, 689, 519, 1657, 267, 1018, 781, 519, 8360, 538, 707, 2361, 888, 2005, 781, 16523, 269, 4873, 476, 1839, 267, 476, 1001, 275, 269, 634, 3440, 568, 16523, 267, 865, 621, 781, 2576, 3116, 781, 2490, 269, 2422, 2013, 281, 898, 781, 711, 12253, 781, 13337, 267, 519, 4308, 3884, 1405, 2944, 2943, 267, 646, 1500, 519, 2063, 25488, 269, 634, 3440, 568, 1631, 609, 16452, 563, 3383, 875, 798, 596, 6108, 513, 29784, 829, 18797, 538, 835, 4845, 888, 7901, 523, 540, 546, 830, 320, 1383, 8360, 454, 268, 1703, 616, 513, 18797, 8254, 15945, 538, 1715, 3840, 563, 268, 1703, 616, 513, 4627, 18797, 563, 268, 667, 19843, 585, 513, 4816, 781, 1101, 8285, 616, 2523, 20036, 267, 855, 972, 616, 513, 18797, 540, 873, 538, 1082, 8257, 8637, 543, 1453, 781, 8637, 563, 3674, 513, 4627, 4502, 513, 8536, 9489, 286, 290, 3497, 269, 769, 8732, 16394, 543, 824, 3756, 540, 4960, 267, 513, 29784, 666, 3277, 547, 513, 914, 4502, 513, 8536, 9489, 269, 589, 13862, 538, 3013, 568, 513, 29784, 269, 1717, 267, 519, 13862, 568, 3006, 1031, 547, 20301, 513, 1507, 2179, 540, 2724, 267, 552, 3052, 269, 645, 269, 1269, 476, 1911, 563, 1432, 1281, 513, 29475, 1611, 888, 2691, 596, 616, 538, 8373, 267, 538, 513, 2352, 2990, 267, 610, 723, 513, 1966, 602, 1281, 711, 723, 606, 2653, 2626, 269, 634, 2262, 4584, 548, 2501, 689, 519, 10656, 2262, 890, 30448, 267, 799, 1797, 1945, 3905, 543, 8385, 5219, 547, 513, 25970, 267, 30644, 16693, 602, 729, 1031, 607, 513, 29089, 894, 563, 1432, 2592, 2736, 707, 2295, 888, 1432, 1281, 834, 7224, 18062, 257, 1611, 888, 306, 27542, 269, 1100, 1259, 269, 630, 21355, 11703, 264, 1323, 30849, 4244, 269, 630, 21355, 11703, 264, 1323, 30369, 1267, 269, 630, 514, 845, 531, 264, 13242, 547, 2769, 513, 2942, 6364, 610, 3375, 563, 3674, 519, 13862, 540, 513, 18797, 606, 29405, 888, 288, 13862, 543, 513, 18797, 269, 634, 2165, 18797, 4016, 547, 1945, 1455, 267, 1455, 543, 4061, 20522, 269, 589, 8360, 602, 8385, 6039, 607, 513, 1871, 585, 2724, 814, 7960, 883, 513, 8360, 602, 1797, 1945, 3592, 24631, 1813, 547, 922, 1455, 543, 2653, 8244, 563, 3674, 8840, 1250, 2295, 513, 14165, 888, 29587, 19874, 267, 849, 1634, 607, 2295, 19874, 267, 568, 513, 14165, 585, 519, 3665, 3929, 543, 2168, 7092, 3361, 676, 519, 1928, 596, 1745, 950, 596, 1616, 2576, 547, 3247, 6580, 269, 634, 7745, 2295, 18986, 558, 543, 519, 18781, 7745, 2295, 616, 519, 4244, 3029, 540, 713, 18986, 558, 563, 1432, 568, 519, 8239, 540, 18986, 1682, 888, 288, 2165, 568, 513, 2489, 2165, 4171, 2495, 814, 4986, 547, 798, 609, 519, 11913, 2495, 540, 519, 2262, 269, 31131, 4214, 269, 1323, 4082, 568, 513, 1895, 540, 1913, 602, 814, 513, 2495, 538, 10409, 6165, 602, 3112, 581, 6508, 689, 1367, 1913, 630, 1721, 1383, 267, 547, 519, 18749, 13140, 547, 1294, 519, 1769, 1916, 2414, 1294, 1200, 888, 8489, 1281, 513, 29784, 2097, 689, 888, 306, 15036, 602, 18953, 513, 16147, 2242, 4287, 1360, 3533, 267, 811, 610, 1447, 8216, 24345, 269, 634, 5169, 540, 519, 2165, 7389, 1394, 547, 1164, 2773, 6517, 267, 27858, 267, 16996, 269, 634, 2702, 547, 16212, 4130, 11113, 1797, 596, 666, 16212, 513, 1360, 1507, 11777, 1360, 3533, 563, 1692, 1454, 1281, 513, 13862, 1942, 888, 288, 13862, 568, 4502, 476, 1015, 15438, 543, 11224, 476, 273, 12183, 1564, 610, 476, 1015, 15438, 269, 2290, 13862, 568, 4502, 476, 272, 1298, 269, 12866, 15438, 814, 519, 1482, 1871, 607, 476, 272, 19695, 269, 14210, 6886, 723, 519, 1482, 1871, 540, 476, 272, 13862, 563, 8489, 1705, 519, 16886, 2097, 689, 888, 2005, 568, 1419, 11130, 602, 621, 13840, 11710, 689, 519, 2688, 585, 513, 3461, 547, 8936, 513, 3440, 547, 519, 4522, 547, 4383, 519, 3665, 1928, 540, 6391, 1510, 23236, 855, 2119, 513, 3440, 11116, 3079, 540, 513, 16463, 555, 784, 18284, 269, 519, 5106, 568, 4686, 563, 1432, 1281, 519, 18986, 558, 4478, 519, 17382, 1611, 888, 263, 21355, 11703, 264, 1677, 4308, 609, 513, 1888, 855, 4734, 856, 519, 1292, 2798, 267, 1419, 593, 3483, 269, 630, 21355, 11703, 264, 5403, 335, 821, 610, 2057, 6158, 827, 1945, 2352, 610, 13943, 563, 1805, 641, 18343, 543, 2995, 803, 1018, 781, 2469, 593, 2336, 1432, 1281, 519, 8360, 1879, 14918, 8038, 888, 763, 2165, 1879, 623, 12127, 26850, 4016, 547, 1945, 602, 786, 4440, 2760, 4755, 269, 13335, 1383, 281, 594, 666, 1205, 909, 2038, 538, 519, 6640, 547, 22619, 344, 909, 1250, 4055, 269, 8786, 267, 596, 798, 950, 14918, 8038, 563, 1432, 2306, 519, 5945, 8338, 888, 4752, 754, 519, 10138, 269, 595, 273, 563, 338, 4660, 950, 621, 5654, 899, 2576, 1500, 513, 3983, 3510, 8338, 676, 3257, 1945, 3116, 547, 20714, 596, 267, 789, 5143, 803, 594, 729, 1932, 2025, 585, 960, 543, 547, 1118, 519, 5945, 8338, 789, 15189, 547, 2628, 1250, 9276, 2336, 1432, 781, 519, 1448, 540, 17444, 513, 4666, 7504, 888, 290, 2130, 585, 513, 4666, 7504, 630, 528, 267, 538, 930, 2694, 540, 519, 2296, 1158, 267, 18644, 513, 4666, 7504, 610, 18644, 513, 4666, 2915, 264, 568, 513, 8360, 799, 1797, 602, 519, 3063, 4674, 568, 513, 3653, 540, 942, 1317, 972, 568, 1100, 1267, 267, 607, 538, 1383, 609, 519, 1166, 690, 3101, 540, 513, 4666, 7504, 267, 1141, 646, 7959, 1100, 1928, 610, 519, 899, 563, 1692, 798, 596, 946, 519, 16886, 11116, 538, 513, 4845, 888, 7078, 5220, 1879, 519, 942, 2501, 267, 594, 786, 27497, 1250, 4522, 543, 1491, 1250, 10751, 12347, 269, 634, 14353, 3787, 519, 16886, 950, 519, 9794, 5795, 519, 2357, 18743, 269, 6307, 1590, 1451, 547, 27497, 1200, 4522, 543, 3068, 519, 4250, 540, 10760, 563, 291, 830, 589, 1684, 7999, 12791, 0, 763, 3039, 12966, 568, 513, 2101, 2872, 538, 519, 772, 14389, 269, 855, 621, 779, 711, 1510, 922, 13542, 563, 763, 4853 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1062, 568, 26203, 563, 22296, 29841, 328, 2098, 537, 543, 18961, 962, 514, 8329, 8449, 547, 713, 1957, 563, 32507, 14396, 267, 17136, 476, 3607, 267, 14858, 3630, 8127, 267, 15528, 305, 267, 744, 17307, 267, 2623, 267, 1904, 758, 514, 2045, 267, 5075, 454, 11514, 7611, 540, 2107, 7540, 689, 519, 16989, 14858, 3630, 8127, 454, 9743, 4801, 281, 2160, 540, 12425, 4149, 1041, 540, 6925, 563, 7021, 519, 2063, 476, 736, 1296, 267, 519, 29588, 8127, 814, 1831, 513, 3532, 2203, 11248, 585, 1620, 9451, 24260, 1646, 543, 2068, 269, 4014, 8097, 2079, 540, 519, 21872, 543, 12586, 9366, 568, 3573, 543, 519, 19916, 814, 1044, 1134, 13006, 267, 11673, 540, 2937, 29588, 8127, 14169, 543, 2090, 540, 1646, 540, 519, 2937, 3889, 543, 8219, 267, 1927, 609, 2553, 585, 2324, 609, 4079, 616, 15877, 269, 634, 8219, 540, 519, 12586, 9366, 10929, 1713, 2242, 538, 741, 2949, 2497, 267, 19916, 267, 543, 26715, 4087, 1282, 519, 12586, 1998, 547, 2937, 5912, 269, 1401, 27238, 267, 519, 12001, 12586, 9366, 10953, 922, 8984, 2937, 4174, 6244, 20119, 4806, 543, 19610, 23856, 27634, 267, 1247, 24323, 267, 519, 8219, 10929, 7372, 2208, 543, 28889, 9934, 269, 769, 1840, 267, 519, 536, 760, 582, 1113, 16891, 611, 2215, 867, 1756, 10953, 883, 2901, 1449, 529, 610, 9065, 776, 269, 901, 7014, 14439, 1082, 540, 519, 8219, 540, 519, 2937, 543, 9727, 2409, 585, 771, 7611, 540, 519, 2634, 267, 16891, 6758, 267, 16063, 1062, 267, 2295, 267, 543, 8459, 540, 519, 2937, 29588, 8127, 269, 634, 26819, 539, 8219, 666, 581, 1031, 585, 538, 2198, 10316, 1436, 267, 6375, 2129, 626, 17190, 267, 1277, 1108, 267, 10717, 10868, 267, 3940, 2079, 267, 543, 824, 7636, 2553, 269, 901, 7014, 786, 4217, 538, 519, 3376, 2287, 540, 2090, 538, 519, 29588, 8127, 547, 1331, 519, 28889, 9934, 540, 12586, 1998, 8219, 267, 519, 10641, 14003, 540, 8219, 1808, 547, 519, 2937, 543, 824, 13753, 540, 519, 2937, 1418, 1949, 563, 14946, 11365, 10334, 267, 17136, 476, 4391, 267, 2937, 267, 29588, 8127, 267, 8219, 267, 771, 7611, 267, 14169, 454, 14303, 549, 11399, 321, 1388, 769, 20287, 538, 16989, 14858, 3630, 8127, 454, 9743, 4801, 281, 5753, 779, 11233, 11785, 267, 12370, 6481, 3427, 267, 667, 3570, 10787, 828, 9435, 4659, 563, 291, 2607, 2126, 540, 2898, 2831, 568, 606, 1898, 1907, 538, 1022, 2203, 1062, 585, 14278, 1670, 543, 3114, 4719, 2090, 269, 2271, 571, 27281, 630, 4353, 264, 13297, 568, 1419, 519, 1034, 2500, 543, 1875, 514, 15230, 1106, 540, 6765, 540, 606, 8665, 540, 1719, 269, 769, 519, 29588, 8127, 630, 25405, 1470, 556, 26369, 454, 1070, 10001, 13297, 540, 5061, 814, 1279, 1044, 513, 4161, 1317, 540, 519, 1507, 6077, 8006, 269, 901, 814, 849, 9863, 513, 1713, 19224, 548, 585, 519, 13297, 540, 2281, 1282, 22104, 641, 4141, 12792, 6565, 1591, 24328, 269, 25214, 267, 24409, 883, 519, 18072, 941, 2944, 2047, 998, 519, 2295, 269, 1717, 267, 713, 12499, 2275, 731, 13519, 5650, 814, 513, 1360, 1164, 9019, 2557, 607, 519, 2295, 568, 1419, 14047, 3293, 1282, 13297, 6028, 519, 3165, 12155, 547, 3968, 267, 7372, 1973, 2530, 610, 14603, 1418, 3441, 269, 14301, 593, 938, 1995, 609, 519, 10856, 267, 649, 723, 2919, 513, 1007, 13297, 5650, 538, 519, 29588, 8127, 538, 799, 519, 13297, 3135, 568, 3297, 519, 3750, 543, 883, 519, 27164, 11399, 321, 1388, 27625, 18980, 269, 901, 27164, 11399, 321, 1388, 630, 4629, 264, 13297, 4480, 814, 1044, 6707, 6964, 538, 1312, 519, 13297, 540, 5061, 538, 519, 2937, 3165, 607, 1134, 607, 24328, 540, 2898, 8459, 20768, 2281, 269, 21614, 13297, 814, 513, 1454, 2539, 9019, 2557, 982, 2757, 12499, 2275, 731, 13519, 13297, 269, 12551, 602, 616, 22280, 27164, 11399, 4226, 958, 4043, 547, 18053, 1447, 1739, 13297, 543, 616, 693, 513, 1454, 2539, 1981, 540, 5945, 547, 513, 2101, 1418, 899, 519, 2295, 269, 4329, 267, 950, 5340, 5265, 267, 22280, 2281, 543, 5924, 5061, 3533, 4283, 519, 18072, 3850, 7135, 547, 11851, 741, 1198, 593, 519, 2898, 3165, 543, 8459, 2281, 547, 3362, 1753, 547, 741, 13395, 269, 4935, 267, 713, 1007, 13297, 4480, 24024, 9019, 1247, 3850, 3608, 6765, 540, 1570, 883, 519, 18072, 540, 2937, 3165, 269, 3371, 649, 12013, 1518, 713, 4480, 676, 27164, 11399, 321, 1388, 13297, 540, 570, 326, 263, 6921, 984, 514, 454, 281, 294, 17025, 264, 2281, 883, 2937, 8732, 704, 454, 8127, 607, 1134, 607, 13297, 540, 513, 2699, 24638, 20004, 630, 1372, 868, 3757, 267, 7147, 4414, 454, 264, 883, 2937, 8732, 704, 454, 8127, 269, 1284, 1287, 14650, 3811, 24409, 676, 2898, 3662, 28264, 22794, 563, 28053, 983, 10334, 267, 17136, 476, 4097, 267, 24638, 20004, 267, 8459, 20768, 2281, 267, 21729, 1529, 1155, 267, 2699, 1973, 2281, 267, 14858, 3630, 8127, 267, 13297, 267, 27164, 11399, 321, 1388, 13297, 267, 24328, 267, 15101, 290, 454, 294, 1484, 543, 20963, 2598, 7611, 540, 28740, 2423, 11576, 800, 9210, 527, 3559, 807, 538, 16989, 14858, 3630, 8127, 630, 25405, 1470, 556, 26369, 994, 9743, 4801, 281, 2817, 5274, 32081, 3194, 4659, 267, 2160, 540, 15930, 563, 32507, 338, 29022, 13423, 3559, 807, 538, 519, 6418, 1274, 616, 519, 2629, 3889, 585, 6217, 543, 3666, 3252, 269, 4475, 267, 621, 568, 1271, 547, 1174, 519, 10408, 543, 7636, 2934, 540, 519, 13423, 3559, 807, 267, 799, 616, 5631, 7768, 540, 1079, 2010, 540, 2281, 281, 4552, 2281, 630, 295, 12336, 264, 543, 5885, 2281, 630, 306, 12336, 1040, 3371, 649, 3442, 547, 1353, 519, 6418, 1274, 10444, 13423, 3559, 807, 538, 2937, 29588, 8127, 711, 1152, 1317, 519, 25853, 3889, 616, 3810, 24721, 538, 782, 30900, 6594, 267, 855, 849, 1317, 519, 2937, 29588, 8127, 568, 2111, 547, 16956, 4733, 670, 12336, 267, 606, 2702, 602, 11864, 6336, 16172, 1310, 4332, 269, 1284, 946, 519, 6418, 1274, 540, 2937, 29588, 8127, 607, 513, 2203, 1062, 547, 1353, 519, 6127, 540, 6418, 1274, 31125, 20344, 538, 2937, 30900, 602, 1223, 581, 5363, 585, 4791, 3797, 540, 6217, 270, 25270, 22907, 538, 1480, 607, 513, 1267, 540, 31125, 2530, 563, 2080, 649, 6542, 875, 547, 798, 14407, 543, 5386, 771, 21827, 540, 6418, 1274, 10444, 13423, 3559, 807, 538, 2937, 29588, 8127, 269, 634, 14407, 771, 7611, 18788, 519, 8031, 4478, 519, 6418, 1274, 543, 568, 5363, 585, 8600, 5160, 6810, 267, 799, 2636, 721, 547, 4983, 519, 2143, 2497, 540, 519, 10444, 13423, 3559, 807, 269, 634, 5386, 771, 7611, 18274, 909, 519, 1875, 1606, 29022, 268, 788, 527, 16773, 8031, 540, 1142, 1367, 13423, 26375, 543, 6087, 721, 547, 4983, 519, 30846, 540, 519, 2898, 13423, 26375, 3362, 538, 2898, 2173, 870, 25853, 5439, 563, 32507, 14396, 267, 17136, 476, 2767, 267, 29588, 8127, 267, 771, 7611, 267, 6418, 1274, 267, 10444, 13423, 3559, 807, 267, 4552, 1591, 267, 20344, 454, 288, 19884, 2667, 599, 547, 12763, 13786, 4369, 540, 14858, 3630, 8127, 547, 15448, 538, 8752, 2271, 839, 885, 454, 763, 1904, 758, 514, 2045, 16846, 630, 10498, 305, 264, 568, 513, 2596, 3308, 16846, 17820, 676, 1034, 30900, 543, 4249, 606, 1271, 1909, 538, 11689, 1944, 519, 3750, 3448, 547, 519, 3308, 6429, 269, 1717, 267, 519, 15528, 305, 3340, 602, 606, 3662, 3713, 3001, 26145, 543, 621, 568, 2009, 602, 3165, 602, 3111, 547, 8858, 606, 15528, 305, 949, 711, 581, 4625, 9420, 269, 2290, 29588, 8127, 30354, 267, 519, 1100, 1904, 758, 514, 2045, 3210, 524, 630, 333, 21683, 264, 814, 1100, 15528, 305, 896, 1022, 1769, 2175, 7318, 543, 729, 4080, 547, 581, 4625, 9420, 269, 2776, 16227, 267, 649, 723, 3254, 602, 5508, 293, 3766, 836, 331, 542, 1591, 2534, 666, 581, 6592, 538, 891, 4573, 1218, 269, 1677, 3313, 2436, 30354, 3165, 609, 1100, 15528, 305, 971, 607, 519, 562, 21683, 30354, 666, 3713, 2241, 1769, 1213, 906, 543, 3526, 906, 649, 2919, 519, 3308, 5179, 8965, 22368, 630, 309, 17307, 1040, 769, 713, 22368, 267, 2582, 29588, 8127, 16793, 616, 5116, 538, 1142, 1134, 540, 513, 476, 9834, 2914, 749, 6676, 3850, 519, 21800, 5464, 540, 16793, 1210, 606, 12747, 3381, 13652, 9535, 1062, 269, 634, 21525, 19318, 6114, 540, 1142, 12586, 9366, 547, 476, 1789, 3764, 1769, 10396, 543, 476, 1789, 3764, 1769, 5508, 293, 941, 6592, 543, 3067, 1881, 269, 654, 307, 3165, 723, 513, 5618, 21782, 540, 5179, 2534, 2390, 8279, 10396, 267, 1634, 607, 519, 1376, 548, 3210, 267, 4553, 676, 2132, 547, 2539, 31032, 15977, 2534, 267, 1572, 513, 19068, 269, 654, 307, 3165, 849, 25921, 2333, 741, 21525, 19318, 2534, 5612, 1739, 8279, 5508, 293, 543, 1152, 7930, 630, 1478, 1896, 3764, 264, 2132, 547, 15977, 21525, 19318, 2534, 269, 634, 562, 21683, 4573, 1218, 4431, 13974, 547, 1769, 5508, 293, 607, 654, 307, 3165, 267, 855, 8858, 513, 13581, 5786, 538, 741, 3328, 2534, 607, 3379, 547, 654, 307, 3165, 269, 16359, 2534, 538, 3210, 547, 1769, 10396, 538, 562, 21683, 4573, 1218, 568, 16607, 543, 22376, 1375, 880, 269, 1703, 568, 513, 3500, 4473, 942, 540, 519, 562, 21683, 30354, 3210, 547, 1769, 10396, 607, 3379, 547, 654, 307, 1769, 10396, 3210, 269, 634, 2164, 5815, 602, 562, 21683, 3165, 616, 711, 4625, 9420, 269, 5221, 7658, 739, 338, 666, 3713, 1769, 998, 1875, 3146, 339, 1400, 8031, 267, 649, 9672, 602, 519, 7525, 8965, 6114, 547, 1769, 27233, 2242, 2154, 16856, 4064, 676, 1210, 519, 669, 758, 327, 630, 577, 330, 264, 4573, 1218, 267, 799, 4625, 3668, 4064, 689, 519, 9998, 5933, 540, 1646, 269, 769, 938, 966, 17307, 22368, 267, 519, 669, 330, 4573, 1218, 8858, 1100, 1376, 548, 3210, 547, 2901, 1769, 10396, 610, 5508, 293, 267, 6029, 602, 519, 14694, 4064, 1199, 5573, 713, 2623, 269, 634, 966, 17307, 22368, 4330, 1934, 1264, 906, 519, 1134, 28004, 15528, 305, 22368, 267, 799, 1281, 711, 1449, 519, 2702, 540, 29588, 8127, 16793, 547, 4431, 547, 2242, 538, 1769, 14556, 885, 269, 3958, 267, 519, 12957, 540, 519, 966, 17307, 22368, 561, 1742, 3294, 547, 1164, 28443, 1584, 9584, 585, 12889, 538, 1769, 27233, 9141, 3308, 6114, 563, 14946, 11365, 10334, 267, 17136, 476, 736, 267, 5075, 267, 10396, 268, 543, 5508, 293, 268, 22529, 525, 267, 2623, 267, 29588, 8127, 454, 9558, 8690, 566, 540, 19940, 26640, 3057, 992, 538, 16989, 14858, 3630, 8127, 454, 9743, 4801, 281, 12370, 6481, 3427, 563, 295, 14670, 641, 16211, 2045, 6565, 2281, 630, 9391, 290, 264, 616, 513, 4686, 2551, 540, 726, 584, 760, 582, 550, 2281, 602, 2226, 782, 519, 21630, 1973, 1899, 1137, 2429, 519, 1272, 540, 606, 11248, 269, 634, 6198, 4214, 540, 513, 15101, 290, 568, 513, 1098, 680, 5896, 1591, 602, 814, 519, 2702, 547, 10411, 3482, 782, 519, 1973, 1899, 1137, 540, 606, 23735, 7007, 18579, 1279, 2165, 269, 901, 25084, 729, 3964, 676, 5756, 540, 25761, 960, 538, 27899, 1949, 269, 4635, 22104, 641, 16211, 2045, 1591, 24328, 630, 295, 6311, 264, 543, 9258, 4719, 6354, 2827, 538, 519, 10856, 267, 519, 5817, 9431, 2188, 540, 15101, 290, 7350, 616, 4098, 547, 581, 30792, 267, 855, 616, 1869, 7361, 896, 7721, 680, 1819, 269, 21298, 267, 519, 29588, 8127, 814, 7153, 607, 513, 3532, 4719, 2203, 547, 1353, 9451, 24260, 22104, 641, 334, 625, 529, 269, 26787, 670, 6311, 538, 29588, 8127, 786, 1450, 3744, 547, 8415, 519, 1804, 8397, 4719, 543, 3114, 9584, 16097, 2139, 538, 29588, 8127, 547, 7866, 3209, 6127, 5817, 15101, 290, 7939, 269, 769, 713, 2376, 267, 649, 6542, 513, 1505, 547, 1685, 670, 6311, 538, 2937, 29588, 8127, 269, 1284, 1397, 519, 771, 7611, 543, 7041, 540, 29588, 8127, 2898, 8459, 20768, 267, 519, 3135, 540, 2937, 22104, 641, 334, 625, 529, 538, 519, 29588, 8127, 267, 543, 519, 4367, 540, 891, 20033, 2281, 883, 519, 10009, 540, 23735, 7007, 18579, 3165, 3842, 703, 2350, 731, 13519, 13297, 269, 3958, 267, 649, 4766, 519, 2022, 20675, 8690, 1416, 540, 3165, 538, 606, 834, 2975, 308, 257, 547, 2333, 741, 1279, 3856, 1072, 269, 769, 2489, 267, 9543, 1416, 540, 519, 3165, 1354, 267, 1282, 267, 543, 1310, 519, 13003, 568, 2565, 547, 2333, 519, 1297, 540, 3165, 602, 786, 7639, 811, 982, 835, 3923, 1739, 519, 5650, 267, 799, 568, 1898, 585, 4879, 540, 1279, 2165, 630, 283, 274, 3923, 264, 1266, 2761, 618, 269, 634, 8097, 1239, 1031, 547, 3715, 713, 7014, 786, 581, 3370 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29189, 783, 18275, 5540, 519, 1072, 543, 1134, 1373, 540, 4600, 267, 2687, 547, 1007, 1382, 563, 763, 519, 2160, 540, 2836, 326, 776, 1353, 1336, 4600, 666, 7985, 513, 2039, 540, 1072, 543, 5626, 2152, 269, 1280, 1383, 912, 268, 543, 1256, 2022, 32034, 2566, 4524, 563, 18131, 811, 16094, 12936, 454, 6097, 547, 519, 1382, 267, 2021, 616, 7466, 607, 2693, 982, 2367, 547, 1397, 10770, 5626, 11605, 1079, 1296, 1310, 7680, 4638, 18275, 693, 960, 563, 12234, 267, 789, 723, 8338, 2168, 1072, 2589, 543, 9547, 609, 741, 1072, 563, 1103, 835, 1353, 267, 2021, 2324, 538, 5256, 26730, 3990, 6080, 1185, 25013, 1072, 607, 6027, 676, 513, 2566, 9449, 3144, 1310, 960, 563, 29189, 783, 18275, 666, 2014, 12214, 3210, 454, 29189, 783, 18275, 543, 14213, 602, 4755, 693, 960, 666, 957, 607, 513, 2566, 528, 6721, 606, 32246, 12214, 3210, 563, 1607, 4990, 540, 2566, 666, 28148, 1860, 1973, 2604, 267, 13942, 2557, 543, 519, 2566, 9449, 23280, 563, 2005, 666, 849, 2014, 2295, 2557, 13260, 563, 4913, 267, 9427, 519, 3463, 1419, 1281, 711, 3247, 519, 6211, 3210, 547, 2566, 267, 2687, 547, 4966, 563, 1607, 666, 1291, 547, 2790, 4713, 267, 585, 1383, 912, 268, 2022, 15779, 2566, 4524, 2676, 268, 543, 824, 5312, 3676, 563, 17829, 945, 7985, 891, 2175, 1419, 2490, 547, 14432, 19326, 547, 11883, 267, 1519, 4568, 538, 1931, 547, 11883, 609, 519, 2566, 563, 2026, 513, 1267, 267, 891, 19326, 2333, 519, 1981, 540, 5312, 2068, 563, 299, 604, 5202, 476, 1724, 476, 1556, 476, 1691, 454, 5197, 271, 305, 2464, 303, 17614, 476, 5197, 271, 476, 278, 4391, 476, 278, 3953, 454, 10258, 1057, 476, 5197, 271, 476, 7277, 476, 276, 2767, 454, 19741, 9791, 476, 9873, 271, 476, 23417, 476, 277, 3607, 454, 300, 839, 18118, 5245, 476, 9873, 271, 476, 4281, 280, 476, 7818, 454, 27736, 4477, 680, 710, 476, 5197, 271, 476, 4649, 272, 476, 8517, 454, 8005, 779, 3743, 585, 519, 1072, 543, 1134, 5630, 540, 4600, 888, 32715, 619, 723, 513, 5539, 547, 1683, 513, 2922, 9036, 585, 741, 5520, 563, 8601, 713, 267, 1082, 4213, 3111, 547, 4431, 14013, 547, 20286, 827, 4638, 18275, 563, 4467, 21622, 1218, 616, 1419, 5667, 15384, 30829, 609, 741, 16108, 779, 3210, 267, 2687, 547, 5619, 2063, 1032, 563, 30131, 547, 3717, 909, 454, 19602, 267, 4853, 12167, 30683, 1261, 742, 1716, 534, 1767, 646, 814, 2938, 519, 2790, 1072, 2360, 4638, 18275, 814, 593, 9601, 563, 2108, 3080, 540, 938, 1699, 7218, 814, 1044, 16271, 547, 519, 1034, 642, 850, 4638, 18275, 2223, 646, 1767, 269, 968, 2690, 1383, 267, 519, 10419, 15249, 2366, 1200, 20025, 2592, 543, 1257, 6835, 563, 2108, 8253, 1152, 814, 1352, 11124, 519, 8194, 540, 519, 18275, 267, 855, 1352, 814, 849, 1044, 556, 8686, 1112, 574, 2213, 676, 2348, 547, 556, 2000, 633, 519, 7180, 543, 723, 1200, 4528, 540, 2621, 20402, 563, 14881, 993, 20938, 547, 2161, 602, 538, 1200, 2013, 267, 649, 941, 2111, 547, 2709, 1200, 519, 1489, 543, 5796, 1352, 2877, 543, 649, 849, 12306, 519, 2339, 593, 1200, 15773, 543, 7307, 547, 21907, 513, 5458, 3670, 4137, 13180, 8569, 3034, 24445, 938, 2319, 693, 26521, 28787, 338, 593, 454, 2414, 1921, 609, 721, 267, 5225, 1246, 721, 593, 0, 2005, 779, 1044, 513, 1247, 267, 18387, 1406, 621, 286, 898, 7959, 8799, 547, 1205, 1394, 547, 1603, 543, 10004, 1154, 609, 586, 685, 718, 563, 3719, 2221, 267, 594, 6557, 27613, 4001, 596, 16921, 875, 547, 1224, 998, 513, 2565, 7828, 269, 1548, 1281, 602, 1611, 286, 596, 2161, 563, 2414, 1224, 998, 513, 2565, 7828, 568, 9247, 547, 1224, 998, 513, 1114, 5133, 824, 982, 707, 1378, 269, 898, 2337, 596, 1294, 519, 1158, 8335, 543, 3332, 267, 1932, 269, 1411, 2461, 7421, 519, 1257, 998, 513, 2898, 1007, 2070, 267, 543, 1585, 4798, 267, 6698, 543, 18305, 786, 2408, 2429, 519, 1257, 563, 763, 1114, 30852, 1331, 912, 268, 12339, 21442, 910, 6212, 593, 13348, 8944, 543, 519, 1514, 267, 2804, 267, 5626, 543, 3872, 15746, 540, 2021, 2429, 942, 563, 268, 5369, 15351, 3315, 3749, 910, 519, 1505, 540, 2542, 998, 513, 22506, 1014, 5626, 5133, 269, 10312, 525, 593, 6988, 543, 1946, 519, 1915, 4433, 264, 957, 4433, 264, 519, 1259, 789, 616, 269, 634, 1257, 568, 849, 5059, 593, 519, 2278, 2864, 982, 519, 4890, 3197, 563, 268, 31767, 910, 827, 1514, 543, 2797, 12602, 269, 31767, 3069, 12034, 519, 2278, 779, 960, 607, 513, 968, 10915, 3005, 540, 519, 2053, 892, 1765, 2495, 519, 1514, 15796, 563, 268, 1715, 19866, 626, 910, 713, 21040, 593, 519, 1686, 3297, 519, 1257, 543, 875, 789, 2461, 4448, 269, 0, 310, 19798, 4753, 630, 26156, 3979, 18947, 3427, 25890, 22410, 264, 17323, 568, 606, 1271, 1641, 602, 4255, 519, 1702, 543, 1620, 540, 1585, 10923, 2035, 543, 9259, 563, 2005, 6227, 513, 2647, 2039, 540, 3584, 1519, 2168, 543, 1480, 11585, 267, 2825, 2359, 267, 543, 6940, 269, 1403, 596, 616, 513, 2875, 8600, 547, 1491, 519, 654, 19798, 4753, 17323, 981, 267, 972, 616, 1896, 2994, 596, 666, 946, 547, 2333, 707, 8458, 540, 1967, 563, 268, 13760, 519, 11929, 14474, 543, 28924, 16086, 454, 2005, 568, 1271, 547, 24559, 3054, 609, 519, 654, 19798, 4753, 17323, 981, 3898, 543, 21038, 269, 901, 786, 948, 596, 547, 1174, 1018, 547, 2503, 593, 981, 1554, 543, 1018, 3584, 547, 1445, 593, 1282, 707, 1353, 269, 1411, 666, 1265, 519, 981, 3898, 543, 21038, 593, 519, 4639, 3979, 22410, 7027, 630, 23354, 4488, 264, 3896, 563, 268, 5530, 519, 11762, 538, 5489, 841, 454, 310, 19798, 4753, 17323, 6227, 513, 2647, 2039, 540, 3584, 267, 865, 621, 568, 1271, 547, 1353, 1142, 1888, 538, 1469, 269, 5269, 2386, 596, 1174, 519, 1883, 2035, 543, 8847, 267, 607, 1134, 607, 1022, 1644, 2013, 2090, 610, 1806, 563, 268, 2422, 12815, 11929, 14430, 543, 4460, 532, 2480, 1335, 525, 454, 303, 847, 6005, 2250, 981, 4574, 568, 606, 2500, 1259, 547, 5965, 585, 519, 654, 19798, 4753, 17323, 981, 269, 3502, 1152, 786, 621, 948, 596, 547, 24559, 3054, 609, 519, 981, 3898, 543, 2511, 267, 855, 621, 786, 849, 948, 596, 547, 2697, 707, 4617, 2127, 543, 2127, 602, 2154, 6454, 269, 634, 16287, 14565, 585, 2250, 4574, 616, 849, 513, 3407, 4199, 607, 789, 1683, 5813, 883, 1018, 981, 29794, 616, 3168, 585, 950, 8366, 532, 7436, 563, 268, 2422, 31280, 8249, 454, 2467, 616, 1082, 14469, 2200, 2139, 585, 654, 19798, 4753, 17323, 267, 1519, 9499, 267, 14469, 10274, 267, 543, 2228, 2200, 269, 2422, 891, 2200, 547, 7110, 707, 1353, 543, 12927, 707, 1620, 540, 1883, 2035, 543, 3584, 563, 306, 21283, 4041, 32530, 16739, 9215, 13138, 312, 454, 268, 9181, 519, 1114, 2010, 540, 6676, 6302, 543, 741, 2404, 17027, 10898, 563, 268, 11512, 519, 1523, 540, 2520, 14521, 1108, 543, 922, 2956, 538, 1620, 519, 3047, 779, 2627, 3157, 563, 268, 14674, 519, 2101, 2188, 12018, 2916, 1689, 543, 519, 1761, 4539, 585, 8134, 543, 1480, 7239, 563, 268, 9181, 519, 2797, 267, 2804, 267, 543, 1514, 2188, 602, 723, 3366, 547, 519, 4028, 20012, 540, 4872, 538, 3384, 2477, 563, 268, 21302, 519, 5222, 540, 2518, 9235, 593, 519, 1604, 543, 2199, 2950, 267, 543, 2303, 2009, 2081, 547, 11574, 2942, 2360, 563, 268, 11512, 519, 1523, 540, 1426, 3354, 543, 519, 2101, 2591, 6849, 6694, 2504, 538, 1016, 25781, 4000, 563, 268, 9181, 519, 1761, 4539, 540, 4262, 7400, 4473, 593, 9381, 4525, 543, 519, 3800, 602, 666, 581, 3144, 547, 3082, 547, 891, 2242, 563, 268, 14674, 519, 4162, 540, 1114, 3037, 2010, 543, 741, 2078, 547, 6694, 7607, 563, 268, 21302, 519, 1909, 540, 29505, 14078, 538, 5935, 519, 11585, 540, 2518, 4123, 543, 5092, 8928, 563, 268, 9181, 519, 1764, 540, 2067, 4199, 10868, 593, 2199, 2950, 543, 519, 1604, 267, 543, 2303, 2009, 2081, 547, 2327, 4264, 2359, 563, 8855, 267, 891, 2055, 616, 5921, 547, 4161, 596, 543, 948, 596, 1020, 513, 4514, 1620, 540, 519, 1641, 269, 5213, 1406, 581, 27209, 952, 596, 1265, 873, 2352, 693, 1101, 267, 543, 946, 873, 607, 606, 4316, 547, 4228, 707, 1702, 543, 2565, 3206, 1983, 563, 1103, 3932, 267, 8429, 519, 654, 19798, 4753, 17323, 981, 3340, 513, 4999, 540, 1620, 519, 981, 3898, 543, 21038, 267, 4974, 519, 3584, 538, 1469, 267, 8026, 2250, 981, 4574, 267, 543, 1210, 14469, 2200, 563, 3528, 1739, 891, 2994, 543, 8026, 609, 3732, 2055, 267, 596, 666, 2333, 707, 8458, 540, 1967, 593, 981, 1554, 269, 0, 1692, 1705, 2367, 5957, 741, 4552, 538, 519, 476, 5197, 271, 338, 888, 24464, 20595, 1590, 2851, 267, 581, 1841, 267, 543, 2427, 321, 5281, 811, 4749, 269, 1358, 849, 1031, 688, 1009, 1803, 2472, 267, 971, 607, 14589, 525, 543, 11041, 267, 547, 1832, 741, 4552, 538, 3337, 269, 1358, 1256, 1031, 3574, 14604, 547, 8190, 519, 3337, 540, 741, 1590, 2851, 269, 898, 729, 1152, 6251, 547, 519, 2490, 540, 519, 2540, 602, 2367, 3323, 547, 5957, 10156, 4552, 609, 513, 695, 13273, 3068, 563, 1692, 1705, 2367, 5957, 741, 4552, 538, 519, 476, 10204, 271, 338, 888, 24464, 23163, 32314, 530, 12127, 602, 941, 711, 1932, 1279, 267, 609, 513, 1906, 1225, 3149, 693, 519, 2427, 267, 543, 513, 1970, 533, 3415, 18571, 10356, 883, 513, 6063, 23439, 533, 13224, 269, 9093, 945, 1223, 711, 6488, 530, 12127, 20595, 519, 4552, 2864, 1279, 543, 10356, 883, 513, 1970, 533, 3415, 18571, 269, 898, 1223, 581, 32314, 610, 12816, 6923, 269, 595, 2355, 543, 22970, 941, 1869, 1455, 585, 2367, 563, 3963, 1705, 2367, 1832, 741, 4552, 1279, 538, 519, 476, 10204, 271, 338, 888, 1103, 1459, 6377, 3345, 3013, 267, 1034, 540, 519, 2367, 2066, 519, 2039, 540, 6082, 543, 4529, 602, 11478, 20595, 741, 4552, 1279, 269, 7043, 4552, 593, 513, 812, 729, 7923, 547, 513, 2686, 607, 1134, 607, 513, 30060, 4644, 269, 1280, 1082, 4529, 267, 1279, 4552, 729, 513, 1129, 540, 10100, 267, 543, 28665, 563, 1692, 1705, 16972, 2367, 5957, 741, 4552, 888, 24464, 779, 4552, 538, 519, 16972, 5736, 729, 12816, 538, 2427, 851, 539, 543, 521, 5585, 539, 1394, 6163, 269, 22458, 729, 851, 539, 593, 519, 2427, 2864, 982, 519, 1647, 267, 543, 2036, 539, 2476, 689, 519, 851, 267, 711, 2786, 1394, 2443, 1498, 3006, 2367, 1131, 2036, 4552, 909, 543, 2476, 689, 741, 2212, 865, 607, 547, 1711, 513, 13581, 533, 20234, 611, 712, 610, 5951, 547, 519, 4395, 540, 741, 2212, 563, 1692, 1705, 7810, 2367, 5957, 741, 4552, 888, 24464, 20595, 1586, 741, 1378, 4552, 267, 1498, 621, 729, 21039, 538, 1454, 519, 1482, 6073, 607, 519, 530, 12127, 1107, 609, 25858, 338, 543, 20061, 267, 609, 6446, 1132, 267, 6477, 339, 5661, 267, 543, 11435, 269, 634, 4552, 267, 2705, 267, 729, 1869, 2356, 32314, 269, 32254, 267, 799, 1185, 1044, 12816, 585, 936, 835, 4627, 1296, 267, 6368, 4682, 856, 540, 6752, 1282, 519, 11157, 8696, 562, 6839, 625, 563, 1692, 1705, 2367, 1225, 331, 741, 4552, 538, 519, 476, 1240, 628, 2540, 888, 28959, 568, 519, 6574, 5351, 547, 4543, 4552, 1305, 538, 513, 1225, 331, 269, 623, 6559, 12641, 599, 1225, 6840, 899, 891, 941, 1500, 689, 519, 476, 1704, 628, 1700, 866, 628, 5553, 543, 1131, 581, 12699, 538, 606, 14089, 1354, 946, 269, 595, 2033, 267, 4216, 6229, 543, 786, 578, 8747, 941, 3812, 689, 519, 3735, 476, 1240, 628, 2540, 543, 1185, 519, 5413, 602, 789, 1705, 711, 1205, 865, 3905, 563, 3963, 1705, 15438, 723, 1279, 4552, 888, 763, 8585, 8221, 1014, 15438, 267, 945, 1185, 3964, 2933, 538, 519, 21219, 540, 4936, 717, 4954, 267, 941, 1634, 607, 519, 3204, 525, 1835, 8181, 328, 267, 519, 1279, 3620, 8529, 15438, 269, 1280, 873, 267, 741, 1279, 4552, 3090, 2213, 711, 1152, 741, 18211, 7095, 4567, 855, 849, 741, 4567, 607, 15438, 563, 1432, 616, 930, 3579, 688, 1009, 5138, 585, 2367, 888, 15371, 596, 2461, 883, 1279, 610, 2110, 688, 1844, 7491, 267, 519, 1655, 688, 1009, 5138, 585, 2367, 609, 5394, 4552, 1331, 519, 3579, 652, 11912, 543, 6163, 540, 476, 1001, 280, 267, 971, 607, 519, 1257, 3293, 7693, 267, 2036, 936, 28201, 267, 2413, 844, 858, 267, 521, 5585, 539, 1394, 896, 12827, 267, 543, 535 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3395, 267, 865, 1932, 1281, 519, 13766, 585, 3608, 2645, 5827, 540, 5883, 5051, 1950, 8852, 269, 14146, 532, 5691, 1239, 11623, 28382, 19216, 543, 4308, 619, 7567, 609, 3532, 1797, 540, 12180, 267, 17516, 267, 543, 6223, 532, 1472, 3407, 7221, 269, 3414, 10427, 3354, 2934, 543, 3593, 7266, 878, 1374, 3741, 267, 966, 11403, 3435, 9153, 547, 22499, 519, 5251, 540, 2445, 1043, 3560, 6561, 267, 6038, 30364, 782, 23466, 3238, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 288, 5691, 1239, 2230, 568, 513, 2149, 1747, 547, 4558, 543, 2671, 1957, 1740, 269, 901, 6087, 2516, 547, 1569, 3592, 782, 2838, 1957, 1740, 689, 513, 3844, 3135, 269, 13575, 267, 4213, 946, 8940, 269, 601, 1150, 532, 4752, 823, 2593, 270, 1372, 788, 268, 2288, 1206, 270, 513, 2228, 1239, 1747, 585, 12388, 619, 543, 4203, 29792, 630, 300, 26031, 1070, 2508, 12258, 22162, 267, 543, 824, 1870, 8852, 563, 309, 11403, 338, 666, 581, 513, 4052, 3070, 585, 3875, 4213, 267, 3226, 538, 519, 3656, 2361, 269, 1358, 1683, 2149, 3561, 20171, 543, 1450, 3656, 10909, 547, 6895, 1439, 3593, 2534, 543, 3561, 28085, 2139, 563, 17457, 966, 11403, 338, 723, 811, 5499, 3354, 2934, 269, 1452, 1331, 9420, 5784, 267, 3818, 7400, 17452, 2553, 267, 4359, 3354, 538, 2095, 267, 543, 15768, 1239, 1747, 1569, 3268, 563, 1103, 1840, 2073, 2413, 966, 11403, 338, 6655, 811, 3593, 7888, 17103, 269, 1358, 849, 2270, 3561, 10391, 5150, 1145, 2934, 267, 1175, 899, 16981, 6721, 543, 1216, 5658, 532, 563, 309, 11403, 338, 1390, 13936, 2790, 3959, 543, 849, 824, 14804, 9623, 269, 3509, 3549, 1331, 824, 2629, 2703, 18210, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 4888, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 23527, 1299, 21771, 1315, 18815, 1315, 21696, 5937, 22148, 30863, 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, 12813, 13478, 10258, 281, 17317, 1116, 5678, 270, 1805, 19099, 2372, 2044, 5678, 692, 7072, 692, 1103, 519, 1158, 540, 7384, 267, 1239, 2359, 4249, 513, 2629, 1909, 538, 1585, 6080, 971, 607, 8804, 267, 3782, 267, 543, 2229, 8041, 269, 2290, 1898, 2460, 540, 1239, 2359, 568, 13936, 543, 13098, 1324, 1344, 7561, 269, 901, 4305, 568, 3335, 17411, 676, 22228, 6538, 2359, 1949, 630, 305, 24174, 5960, 1070, 799, 946, 513, 13387, 1893, 1634, 607, 13419, 3293, 2372, 2044, 5678, 630, 21415, 1040, 1717, 267, 972, 949, 581, 8320, 1141, 4359, 10342, 568, 2838, 3564, 2596, 13214, 532, 4238, 269, 1280, 713, 2601, 267, 681, 24174, 5960, 21527, 723, 2919, 27564, 24909, 547, 14069, 547, 5512, 9367, 547, 2328, 1950, 7954, 1369, 519, 6538, 3294, 269, 1452, 24909, 616, 4122, 5219, 547, 607, 17317, 1116, 5678, 270, 1805, 19099, 2372, 2044, 5678, 630, 12195, 13478, 10258, 264, 7161, 269, 769, 713, 3184, 267, 649, 5490, 883, 519, 17950, 540, 12813, 13478, 10258, 267, 922, 3156, 267, 2640, 267, 543, 1655, 2853, 269, 1284, 786, 2263, 875, 12813, 13478, 10258, 666, 581, 1031, 3927, 538, 519, 2796, 540, 2679, 7347, 1239, 16292, 17346, 899, 519, 835, 4330, 538, 938, 4367, 780, 1432, 568, 12813, 13478, 10258, 2496, 12195, 13478, 10258, 568, 513, 5752, 1893, 602, 10905, 27564, 21437, 609, 14069, 6898, 269, 898, 2636, 3755, 547, 5581, 4632, 267, 19585, 6898, 267, 17787, 267, 9868, 7829, 267, 543, 824, 1852, 3889, 1247, 15025, 609, 519, 5817, 6538, 269, 1635, 6220, 891, 2934, 267, 9367, 666, 1711, 10427, 6740, 5773, 267, 12153, 267, 15004, 267, 543, 3593, 20452, 3252, 269, 5047, 267, 2094, 12813, 13478, 10258, 8255, 3330, 519, 6538, 2599, 267, 621, 3091, 9120, 2773, 3379, 547, 5007, 7097, 532, 4654, 1813, 547, 4389, 3060, 26125, 543, 4824, 3354, 10072, 269, 1306, 596, 1224, 2417, 267, 649, 786, 1865, 930, 4052, 7653, 20515, 519, 2956, 540, 12813, 13478, 10258, 950, 2324, 609, 1804, 4336, 3785, 971, 607, 519, 4132, 8081, 2037, 7593, 630, 17698, 264, 1062, 5018, 4505, 780, 21104, 725, 540, 12813, 13478, 10258, 692, 2467, 616, 3875, 2081, 12813, 13478, 10258, 666, 4324, 3906, 5883, 5318, 5666, 540, 1239, 269, 2368, 1455, 3096, 1331, 1384, 265, 2878, 10574, 4406, 9179, 5093, 20074, 2688, 15418, 3652, 5849, 602, 19670, 5638, 2743, 1808, 7355, 1354, 1373, 17332, 883, 7515, 269, 901, 1900, 2337, 2226, 1164, 7779, 14449, 543, 11151, 20093, 821, 748, 13366, 689, 3542, 5024, 707, 23999, 563, 265, 2878, 289, 2255, 14409, 5093, 27400, 13557, 10311, 267, 25533, 687, 267, 610, 7696, 687, 998, 12813, 13478, 10258, 20072, 6087, 3608, 12879, 540, 6634, 540, 9343, 693, 2899, 1510, 11566, 519, 3498, 4494, 563, 265, 2878, 8505, 558, 730, 20904, 570, 3696, 5093, 2480, 1117, 30389, 2834, 6009, 3842, 24766, 5960, 318, 306, 6224, 3633, 8085, 2207, 10189, 3678, 919, 16625, 4247, 971, 607, 1394, 5725, 267, 4994, 25580, 338, 267, 7194, 11018, 267, 3092, 1421, 1863, 532, 16984, 689, 8261, 6304, 563, 265, 2878, 20376, 12053, 6513, 5093, 19737, 1569, 2924, 543, 22864, 3587, 4443, 609, 12813, 13478, 10258, 676, 20206, 6819, 6213, 4238, 1369, 6740, 5773, 3079, 540, 26587, 1463, 3349, 27704, 563, 265, 2878, 18204, 1674, 18745, 5093, 20710, 3101, 19635, 1949, 1419, 3340, 24758, 1063, 1114, 12043, 610, 10873, 269, 2060, 12813, 13478, 10258, 267, 9367, 666, 1628, 3082, 832, 602, 2981, 6835, 22121, 1851, 2789, 6105, 16900, 780, 19119, 540, 4635, 12813, 13478, 10258, 692, 2691, 14045, 2436, 547, 9772, 12813, 13478, 10258, 538, 707, 1788, 267, 2015, 519, 1739, 5383, 1384, 265, 2878, 18719, 1386, 13437, 5093, 4595, 12813, 13478, 10258, 3009, 4291, 2373, 1369, 519, 6538, 2599, 267, 5180, 15143, 1063, 7817, 3156, 543, 13763, 616, 31965, 267, 3056, 547, 5488, 3210, 2053, 543, 2539, 4199, 4616, 563, 265, 2878, 1805, 3994, 518, 8232, 5093, 7402, 2355, 6819, 7954, 1369, 6740, 5773, 6971, 2627, 2127, 12155, 547, 6285, 267, 1818, 621, 9875, 585, 17351, 11051, 547, 17908, 16426, 269, 3958, 267, 30704, 17979, 7084, 9673, 1206, 13311, 12381, 547, 2565, 2200, 563, 265, 2878, 289, 21392, 8943, 1234, 639, 1464, 5093, 3525, 983, 1944, 29782, 883, 23431, 4559, 8992, 11007, 2066, 3156, 543, 29776, 1279, 3856, 5826, 3646, 563, 265, 2878, 292, 553, 1512, 13891, 19982, 1299, 13281, 5093, 29740, 2987, 3181, 19982, 2645, 543, 4152, 10850, 948, 2697, 2152, 2038, 1282, 1646, 9979, 267, 4227, 2949, 8919, 3928, 543, 4180, 5347, 11766, 906, 563, 265, 2878, 28723, 17972, 5093, 7457, 547, 28106, 29026, 14828, 9367, 8476, 7207, 28998, 538, 6986, 14069, 30582, 267, 7175, 873, 547, 10994, 6946, 4170, 24672, 780, 16032, 13756, 585, 15043, 12813, 13478, 10258, 10241, 692, 2414, 11694, 519, 1761, 540, 12813, 13478, 10258, 267, 1246, 891, 5227, 4808, 1384, 272, 269, 2608, 9556, 983, 1436, 17041, 16505, 1524, 1950, 7954, 883, 4130, 1016, 709, 339, 1149, 602, 1685, 3982, 3527, 267, 7393, 9355, 543, 5009, 19074, 563, 273, 269, 2608, 2750, 4003, 30047, 17041, 12650, 675, 17191, 17756, 30780, 543, 1683, 6209, 5470, 6835, 547, 1439, 268, 22852, 267, 9319, 6397, 26301, 563, 274, 269, 2608, 24927, 17352, 17041, 17115, 2689, 8284, 9164, 262, 7418, 547, 2327, 2298, 4441, 2611, 5812, 2429, 519, 1788, 29488, 563, 275, 269, 2608, 8110, 18504, 16424, 17041, 8033, 28204, 9043, 11056, 14573, 547, 3713, 4420, 6352, 1815, 802, 543, 11126, 3500, 12656, 14127, 14511, 610, 13467, 563, 276, 269, 2608, 309, 619, 542, 6513, 7010, 17041, 22982, 4528, 1852, 3301, 899, 27707, 610, 25789, 301, 547, 3950, 2242, 1500, 547, 2707, 6119, 267, 14123, 5698, 543, 5066, 3724, 3681, 952, 2556, 780, 6962, 692, 2026, 7152, 538, 938, 4901, 865, 2484, 267, 12813, 13478, 10258, 5713, 607, 513, 3532, 2645, 564, 5827, 540, 5466, 3309, 2591, 5185, 676, 2221, 781, 1239, 4648, 269, 3245, 4570, 908, 3403, 6724, 547, 3678, 908, 1950, 3157, 267, 16107, 12813, 13478, 10258, 14013, 8309, 3648, 2509, 6908, 23164, 32262, 543, 5355, 10512, 4398, 269, 5015, 267, 2016, 519, 2810, 3747, 585, 2462, 1239, 12642, 5867, 8506, 9395, 5610, 1063, 4859, 9817, 543, 10763, 6106, 267, 13215, 12813, 13478, 10258, 2553, 5036, 14971, 1099, 5505, 6306, 538, 741, 1391, 585, 1967, 538, 713, 2479, 21608, 5251, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 15445, 8433, 585, 10029, 543, 16010, 6176, 5303, 2319, 630, 288, 261, 293, 8668, 264, 2488, 8668, 2533, 547, 519, 4972, 540, 28521, 1519, 519, 4132, 8081, 2037, 7593, 630, 17698, 264, 10406, 563, 17698, 267, 609, 519, 1489, 540, 589, 261, 293, 8668, 267, 814, 5063, 18611, 606, 18175, 24612, 4132, 8081, 2037, 7593, 2780, 1062, 1572, 2910, 10933, 4811, 18074, 269, 2910, 10933, 4811, 18074, 568, 1357, 2861, 1062, 543, 18252, 808, 273, 7417, 282, 519, 4578, 654, 732, 5264, 568, 1759, 593, 606, 26057, 476, 1556, 326, 6538, 1210, 26057, 4578, 6715, 15249, 585, 21180, 299, 3252, 543, 18252, 22126, 781, 595, 1758, 657, 585, 8989, 3334, 269, 2910, 10933, 4811, 18074, 4566, 593, 3384, 476, 11793, 5359, 547, 1489, 519, 1870, 540, 1126, 1489, 269, 769, 1840, 267, 519, 4578, 654, 732, 5264, 1590, 1489, 740, 554, 665, 8989, 269, 17497, 476, 4343, 5359, 616, 2139, 538, 2504, 269, 634, 4578, 654, 732, 5264, 2319, 1291, 786, 960, 609, 519, 1062, 5043, 1807, 543, 519, 595, 10345, 10406, 547, 1020, 543, 1449, 519, 6967, 5359, 543, 1489, 519, 5571, 5826, 543, 19349, 540, 519, 2910, 10933, 4811, 18074, 4578, 654, 732, 5264, 269, 11086, 519, 4578, 654, 732, 5264, 1058, 849, 1489, 811, 2413, 3611, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12195, 13478, 10258, 630, 3682, 1027, 1116, 5678, 270, 1805, 19099, 2372, 2044, 5678, 17983, 607, 851, 540, 834, 28035, 1315, 19932, 1315, 14069, 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, 476, 1015, 269, 272, 12694, 543, 19662, 540, 5410, 1438, 19007, 693, 17361, 692, 11754, 1438, 5663, 814, 1044, 1818, 6329, 538, 2487, 1296, 1813, 547, 922, 2702, 547, 3132, 1950, 22762, 1845, 543, 16419, 2694, 7561, 269, 2755, 7537, 3091, 3875, 2640, 936, 2757, 5663, 2409, 267, 18440, 909, 2504, 666, 1459, 2189, 2591, 543, 3255, 269, 769, 713, 3296, 267, 649, 5490, 883, 891, 2152, 543, 2263, 1483, 8996, 3156, 540, 1804, 8397, 19605, 5663, 780, 20806, 3188, 1948, 272, 281, 17726, 543, 3414, 1584, 454, 5785, 14945, 3080, 1713, 4161, 950, 7598, 19605, 5663, 693, 4336, 568, 8236, 6190, 3432, 543, 998, 1584, 547, 2743, 3747, 269, 12465, 5663, 3157, 1419, 4125, 2527, 2504, 2553, 971, 607, 13297, 27724, 610, 16213, 267, 799, 1450, 585, 4028, 3977, 540, 9838, 2694, 269, 2201, 519, 824, 1688, 267, 7537, 3335, 13976, 3334, 4494, 676, 4494, 267, 4611, 538, 3476, 1628, 2053, 829, 851, 269, 901, 3017, 3587, 5051, 7805, 607, 2504, 12531, 2333, 780, 2414, 7753, 713, 19224, 548, 267, 3173, 543, 9755, 723, 2919, 1896, 2994, 267, 1519, 1384, 265, 2878, 18719, 1324, 3684, 11250, 5093, 1635, 17306, 1820, 6724, 267, 8800, 1374, 267, 543, 3301, 8060, 267, 8030, 723, 7307, 547, 3648, 5818, 8228, 11250, 1510, 27531, 2298, 269, 1323, 5140, 1383, 540, 713, 568, 12539, 779, 7913, 8752, 31349, 2029, 267, 799, 31267, 1820, 11250, 909, 547, 476, 1911, 2053, 5488, 982, 6671, 8305, 14663, 2762, 23252, 563, 265, 2878, 13640, 5537, 1436, 5093, 26121, 2789, 6191, 8195, 6087, 2362, 2949, 998, 1584, 269, 1717, 267, 5883, 2789, 3457 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3441, 811, 7444, 543, 949, 2110, 523, 519, 14438, 540, 519, 3926, 610, 27115, 269, 901, 568, 1946, 1082, 21427, 632, 655, 10006, 2149, 832, 513, 1434, 5092, 563, 1432, 1772, 513, 31048, 5019, 10725, 543, 1215, 6496, 898, 4518, 888, 288, 10006, 2149, 528, 3085, 1405, 3625, 519, 10006, 282, 621, 3274, 28570, 338, 513, 6727, 2333, 538, 6453, 883, 519, 2666, 563, 7197, 10006, 2149, 832, 2097, 538, 519, 1106, 540, 513, 1379, 14816, 602, 596, 666, 11690, 2789, 3457, 883, 267, 7863, 782, 540, 873, 693, 2899, 269, 1879, 519, 1379, 26389, 2250, 513, 11280, 1377, 540, 6453, 267, 519, 10006, 2149, 528, 11651, 1206, 519, 3063, 1699, 883, 27733, 12904, 267, 4758, 519, 5201, 513, 13374, 2476, 689, 519, 3457, 563, 6701, 2353, 5295, 22367, 1186, 31048, 13363, 832, 888, 4407, 1379, 17446, 543, 10006, 2149, 832, 1413, 2147, 267, 1152, 519, 10006, 2149, 528, 786, 1832, 11418, 689, 3478, 22304, 676, 4430, 5201, 269, 589, 3044, 1379, 14816, 568, 3274, 513, 3926, 602, 2636, 596, 547, 723, 3063, 19093, 269, 1452, 17446, 616, 10416, 1175, 10137, 27871, 1510, 519, 3606, 4027, 563, 13425, 519, 11183, 547, 2327, 621, 779, 513, 10006, 2149, 528, 1354, 9140, 621, 9789, 516, 1058, 581, 513, 808, 537, 956, 12773, 593, 621, 269, 1403, 621, 3081, 476, 273, 267, 1822, 808, 537, 956, 267, 602, 1797, 621, 666, 1491, 476, 273, 267, 1822, 808, 537, 956, 4502, 540, 1379, 1147, 2471, 1354, 621, 779, 1100, 3476, 2500, 563, 1692, 547, 13363, 2659, 5851, 543, 22997, 3245, 5295, 5080, 2471, 454, 288, 10006, 2149, 528, 3884, 1406, 513, 18174, 31383, 1259, 547, 2061, 519, 3441, 543, 2009, 9276, 540, 513, 1379, 10006, 269, 589, 3226, 2178, 10006, 1223, 1869, 8267, 332, 513, 10006, 2149, 528, 267, 610, 1152, 930, 540, 707, 3457, 949, 581, 4448, 547, 519, 2149, 528, 269, 2290, 3983, 1379, 10006, 1223, 4734, 596, 856, 5215, 540, 9489, 563, 288, 3318, 3167, 1014, 666, 8524, 707, 1753, 547, 2327, 1100, 20924, 1223, 1291, 547, 513, 10006, 269, 1358, 1522, 4363, 21130, 707, 1753, 781, 5122, 1062, 610, 16459, 513, 2898, 25571, 10006, 2149, 528, 269, 1411, 3513, 991, 513, 3318, 585, 1034, 5122, 18175, 10232, 563, 291, 10422, 269, 13177, 8329, 547, 713, 4062, 269, 0, 26156, 28181, 1769, 17001, 7436, 22206, 571, 1326, 5052, 685, 6560, 454, 288, 1007, 1769, 17001, 14120, 519, 4339, 585, 2021, 779, 16018, 568, 547, 581, 30792, 693, 519, 10120, 31689, 8065, 538, 519, 670, 11817, 540, 12057, 267, 5507, 267, 2221, 1107, 476, 5611, 1296, 547, 519, 1554, 519, 5859, 3459, 563, 6124, 667, 11921, 267, 513, 3670, 31475, 516, 1164, 1769, 17001, 676, 7376, 6307, 645, 4920, 517, 568, 849, 519, 1101, 4062, 540, 7493, 1148, 20827, 585, 8628, 4159, 538, 519, 20066, 540, 31689, 269, 18270, 908, 1346, 945, 10692, 547, 3094, 2021, 519, 8917, 267, 1715, 667, 11921, 568, 4092, 1657, 519, 13675, 547, 853, 15537, 779, 8065, 267, 519, 3135, 540, 1082, 27049, 23405, 607, 1134, 607, 519, 8905, 1031, 585, 2021, 4947, 547, 5838, 4620, 1431, 543, 25211, 631, 11679, 563, 763, 1804, 4336, 540, 4062, 568, 5497, 547, 2992, 519, 2450, 540, 519, 27049, 5859, 267, 543, 519, 2189, 1688, 1532, 31500, 4837, 20801, 338, 602, 1118, 909, 922, 546, 27681, 3141, 2992, 519, 1082, 2043, 945, 941, 3238, 538, 519, 3350, 543, 519, 2027, 9295, 789, 1500, 547, 2413, 9111, 563, 5804, 476, 3066, 4873, 547, 476, 272, 5181, 267, 8436, 547, 31689, 786, 849, 581, 2111, 547, 1294, 476, 2004, 31475, 516, 1279, 4207, 11247, 634, 15979, 540, 28545, 269, 634, 6037, 1075, 550, 3735, 343, 5641, 540, 31689, 8065, 779, 7532, 3774, 3568, 7366, 540, 1296, 4502, 540, 5536, 540, 7452, 267, 865, 582, 543, 13897, 9900, 24850, 689, 519, 3774, 1282, 519, 6213, 7738, 1184, 543, 17735, 689, 519, 15999, 476, 2764, 31475, 516, 1164, 17200, 2041, 600, 8122, 269, 8189, 539, 543, 3812, 676, 3203, 13370, 267, 713, 10151, 1148, 10380, 729, 2813, 676, 7376, 267, 4056, 543, 5726, 626, 808, 5282, 744, 614, 334, 6261, 841, 657, 267, 945, 723, 1312, 5249, 538, 6252, 609, 12057, 779, 11808, 543, 6149, 7738, 1788, 936, 513, 1974, 540, 2947, 1296, 563, 22209, 787, 547, 1294, 1715, 667, 11921, 543, 2048, 763, 15979, 540, 28545, 689, 476, 3066, 4873, 568, 1863, 855, 17914, 1058, 581, 1433, 539, 538, 4434, 269, 17968, 267, 8436, 786, 581, 2111, 547, 2972, 1312, 26620, 593, 513, 4663, 540, 12057, 799, 1331, 519, 5600, 540, 12780, 267, 5600, 540, 700, 3581, 543, 31689, 8065, 0, 296, 666, 4194, 1840, 5013, 547, 476, 1015, 543, 476, 736, 563, 279, 267, 1822, 3506, 946, 717, 2106, 5414, 454, 10844, 267, 1822, 3610, 946, 717, 2106, 5414, 454, 272, 267, 7785, 267, 1822, 1053, 946, 717, 2106, 5414, 454, 10743, 786, 2259, 13128, 640, 609, 1840, 5013, 547, 476, 736, 269, 4841, 786, 581, 18056, 540, 968, 339, 2354, 892, 2429, 519, 3992, 971, 607, 1210, 519, 862, 32477, 3959, 267, 2324, 609, 29156, 543, 29156, 7132, 835, 267, 543, 4946, 609, 476, 280, 779, 563, 10743, 786, 581, 2111, 547, 4194, 1840, 5013, 547, 476, 1015, 543, 476, 736, 563, 10743, 786, 2689, 519, 2856, 540, 3206, 15508, 269, 1358, 616, 3254, 476, 1015, 3615, 547, 1353, 585, 1079, 3764, 267, 1287, 789, 786, 1294, 875, 1082, 789, 666, 1592, 689, 3965, 269, 901, 568, 4294, 547, 6061, 2979, 5013, 3533, 676, 3257, 873, 15508, 538, 707, 2212, 563, 8794, 519, 717, 2106, 5414, 1966, 11718, 267, 1053, 786, 2689, 519, 5013, 609, 4267, 547, 476, 1015, 269, 901, 568, 4553, 676, 513, 2689, 540, 519, 9937, 10659, 543, 875, 519, 862, 32477, 3959, 666, 948, 596, 11291, 5013, 3533, 269, 4841, 1287, 2259, 519, 29156, 5013, 267, 543, 29156, 7132, 835, 5013, 269, 634, 3992, 5170, 609, 513, 16590, 540, 476, 736, 5013, 593, 513, 22245, 799, 666, 581, 14661, 547, 2417, 4161, 519, 1053, 269, 11150, 540, 4946, 513, 476, 280, 543, 2324, 609, 3677, 2338, 676, 8380, 513, 4557, 1927, 616, 12649, 267, 543, 4553, 676, 31764, 717, 2106, 5414, 15460, 563, 10743, 4431, 547, 4557, 2789, 31547, 543, 3020, 11721, 4426, 2055, 563, 10743, 786, 2689, 5013, 676, 1210, 519, 862, 32477, 3959, 547, 2328, 1079, 5013, 6719, 676, 2531, 3626, 525, 563, 24591, 942, 2679, 4245, 454, 10048, 720, 519, 4928, 811, 7561, 454, 19102, 848, 2875, 6278, 454, 294, 2106, 5414, 568, 606, 2228, 3450, 3760, 585, 7317, 3043, 15236, 543, 10525, 538, 3506, 563, 4415, 513, 1445, 593, 10026, 2069, 267, 717, 2106, 5414, 779, 6519, 4580, 267, 3059, 2645, 267, 543, 2238, 1118, 621, 2653, 585, 3610, 547, 4688, 942, 2679, 4245, 267, 2333, 2875, 6278, 267, 543, 1118, 4928, 2359, 811, 3608, 269, 0, 4131, 779, 1847, 938, 1445, 2509, 519, 14619, 543, 11413, 540, 519, 1184, 1317, 2348, 513, 16048, 2666, 568, 711, 2614, 269, 634, 1259, 540, 4393, 568, 849, 4105, 585, 519, 2463, 540, 782, 519, 18715, 3177, 547, 519, 4027, 540, 2123, 1239, 563, 8196, 995, 286, 2506, 5523, 713, 1102, 4919, 593, 707, 3896, 563, 2005, 568, 711, 2009, 547, 3035, 14619, 952, 519, 9013, 5428, 1281, 711, 30035, 782, 519, 1344, 2556, 585, 519, 1367, 547, 1118, 513, 3375, 269, 3690, 10337, 568, 1898, 585, 519, 2043, 547, 2708, 543, 11884, 6430, 952, 789, 6999, 547, 1577, 1010, 17017, 2123, 1239, 581, 9268, 585, 968, 311, 892, 3483, 543, 896, 968, 311, 892, 2175, 269, 12876, 1145, 543, 3690, 10337, 1376, 609, 875, 2123, 1239, 568, 5833, 563, 25187, 9807, 543, 24573, 584, 563, 30238, 9708, 676, 25014, 3821, 19681, 630, 5408, 782, 994, 268, 14409, 9608, 4578, 910, 4728, 476, 1789, 267, 476, 1708, 272, 454, 268, 1548, 568, 21041, 286, 910, 5988, 476, 1839, 267, 476, 1708, 272, 454, 268, 1548, 568, 21041, 7177, 286, 910, 5130, 476, 1691, 267, 476, 1708, 272, 0, 19177, 10117, 1296, 3516, 267, 1247, 10707, 998, 513, 4104, 539, 1858, 2673, 547, 741, 1753, 538, 8478, 267, 16027, 8277, 3405, 7085, 328, 543, 1010, 7385, 19481, 1945, 602, 9575, 741, 3007, 269, 1358, 16686, 2390, 1079, 4816, 1612, 12783, 18843, 539, 593, 519, 2666, 267, 2451, 27303, 676, 513, 15468, 3529, 538, 519, 18137, 269, 7085, 328, 543, 1010, 7385, 4956, 547, 15063, 519, 1612, 12783, 267, 606, 957, 602, 1131, 979, 593, 547, 723, 513, 3152, 1764, 982, 1175, 9494, 519, 5017, 685, 2729, 269, 634, 7008, 25374, 585, 519, 1612, 12783, 2394, 789, 6603, 15657, 267, 1310, 799, 835, 540, 519, 5017, 24363, 2476, 543, 729, 2760, 2938, 1586, 269, 634, 824, 1612, 8527, 267, 2705, 267, 8359, 547, 3251, 5103, 2348, 2407, 5191, 547, 4734, 563, 27908, 328, 3957, 519, 1612, 8527, 7200, 549, 543, 519, 6177, 729, 2760, 6854, 538, 513, 21799, 269, 6736, 2348, 519, 2702, 547, 8038, 2476, 267, 7200, 549, 7283, 543, 814, 2094, 1044, 2111, 547, 2097, 543, 979, 607, 1352, 5418, 1162, 269, 2701, 2141, 9060, 513, 10950, 829, 577, 593, 7085, 328, 779, 13105, 267, 945, 561, 990, 5944, 3217, 1416, 540, 1200, 563, 299, 2299, 267, 7085, 328, 814, 8068, 513, 6521, 538, 7200, 549, 779, 2623, 269, 2755, 519, 1612, 8527, 1031, 547, 6108, 1200, 2395, 3695, 519, 10450, 267, 1352, 1631, 9846, 8120, 676, 3781, 6420, 269, 5047, 267, 585, 1614, 15654, 17334, 267, 7200, 549, 11739, 696, 538, 513, 1114, 4087, 982, 1200, 8912, 5544, 693, 1753, 269, 4438, 519, 1554, 267, 1352, 1131, 829, 577, 2282, 513, 17860, 11308, 20545, 14006, 543, 8604, 547, 581, 4368, 730, 593, 621, 563, 4504, 29098, 676, 7200, 549, 779, 8966, 2623, 267, 7085, 328, 4956, 547, 8495, 1018, 1185, 9676, 519, 1612, 8527, 779, 3007, 269, 4014, 7200, 549, 1185, 5892, 3710, 513, 9566, 538, 519, 17860, 2022, 267, 1200, 16012, 1719, 538, 519, 5544, 729, 6397, 563, 1607, 568, 1018, 646, 1336, 912, 287, 329, 846, 515, 828, 273, 27501, 361, 1474, 3312, 1107, 8277, 3405, 646, 828, 5576, 28704, 7085, 328, 454, 2414, 7085, 328, 779, 9983, 267, 7200, 549, 1185, 16686, 2390, 513, 16445, 540, 1614, 6263, 6539, 29181, 543, 1185, 15151, 3144, 873, 896, 1200, 13617, 269, 898, 568, 16143, 602, 513, 7023, 779, 3032, 1185, 2016, 4332, 547, 519, 6539, 29181, 538, 7200, 549, 779, 21224, 5544, 855, 1185, 13604, 14460, 873, 269, 9453, 7200, 549, 779, 948, 543, 15754, 267, 519, 6539, 29181, 1522, 723, 8854, 29462, 543, 4608, 1563, 585, 563, 2108, 7069, 20766, 786, 581, 5329, 873, 28461, 293, 6136, 267, 609, 7200, 549, 779, 948, 267, 519, 6539, 29181, 941, 11324, 4240, 543, 10710, 269, 4014, 7085, 328, 13986, 547, 32543, 28558, 519, 6539, 29181, 547, 741, 2693, 2385, 267, 519, 3032, 4797, 547, 7947, 873, 269, 1717, 267, 609, 519, 948, 540, 7200, 549, 267, 519, 6539, 29181, 711, 1152, 15068, 855, 849, 1336, 513, 1007, 15962, 1753, 609, 7085, 328, 779, 20766, 563, 2005, 4667, 602, 7200, 549, 786, 3136, 547, 3251, 2673, 267, 607, 1352, 814, 2141, 2944, 269, 1306, 513, 3552, 6177, 11324, 4240, 543, 6659, 676, 606, 23349, 1920, 267, 621, 568, 2295, 342, 9879, 602, 1352, 4682, 593, 547, 798, 519, 1482, 585, 513, 1114, 2249, 269, 6736, 1373, 1863, 267, 7200, 549, 8359, 547, 2709, 2648, 1175, 607, 1252, 3585, 607, 1352, 1185, 4607, 621, 269, 0, 1432, 1281, 12896, 6399, 7790, 9502, 543, 7464, 5020, 6201, 563, 288, 6121, 568, 513, 1770, 540, 2597, 538, 519, 11973, 6482, 1062, 602, 568, 3160, 547, 835, 8536, 628, 540, 513, 11304, 563, 272, 575, 815, 630, 272, 270, 1911, 271, 264, 4846, 610, 476, 272, 4846, 815, 476, 1911, 271, 10101, 563, 763, 6121, 568, 1031, 547, 2268, 519, 2597, 540, 1919, 602, 616, 2731, 1769, 563, 28830, 538, 707, 2777, 602, 666, 723, 513, 2597, 540, 5111, 476, 272, 6121, 454, 268, 476, 736, 12772, 540, 1216, 269, 1403, 596, 1616, 547, 1294, 1018, 476, 272, 6749, 540, 1216, 5654, 899, 267, 2638, 713, 3135, 563, 268, 6168, 835, 21144, 628, 540, 513, 23188, 540, 1216, 563, 268, 589, 32521, 540, 4006, 563, 268, 6168, 835, 21144, 628, 540, 513, 2582, 18812, 454, 268, 589, 1957, 2256, 18967, 19942, 547, 596, 676, 513, 6666, 1512, 563, 268, 6168, 476, 3374, 9274, 540, 7573, 5673, 593, 519, 2450, 563, 5319, 2809, 713, 2985, 286, 7490, 2628, 621 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 517, 1797, 519, 10708, 6616, 945, 789, 616, 543, 875, 789, 666, 3514, 538, 519, 2486, 799, 3340, 519, 1268, 547, 1491, 1018, 814, 1044, 1565, 512, 827, 1272, 543, 2933, 543, 1287, 27724, 621, 883, 513, 19618, 1582, 268, 13548, 865, 602, 519, 2146, 949, 1265, 621, 547, 581, 3730, 269, 20390, 30105, 991, 547, 723, 1434, 2937, 1909, 3631, 607, 1134, 607, 1930, 3515, 540, 2792, 543, 2486, 568, 5921, 547, 1683, 2312, 1318, 8574, 1978, 12738, 543, 5360, 9323, 799, 2337, 547, 16174, 519, 1126, 689, 519, 2937, 563, 1103, 519, 2757, 2486, 267, 519, 8695, 543, 6690, 23384, 1978, 4255, 540, 16608, 267, 3872, 2621, 267, 543, 12572, 18428, 865, 602, 519, 6689, 543, 15296, 540, 519, 1268, 7329, 13747, 269, 9453, 713, 267, 4061, 267, 972, 1131, 723, 1044, 513, 10171, 540, 1909, 10539, 1813, 547, 519, 10462, 540, 513, 1268, 779, 1747, 538, 2486, 267, 543, 513, 1268, 7092, 689, 1909, 10539, 568, 1767, 547, 723, 606, 3961, 6433, 269, 661, 9581, 517, 5267, 513, 26447, 2849, 1807, 1756, 1141, 835, 2115, 547, 1491, 930, 942, 856, 1141, 646, 24172, 666, 1491, 513, 16314, 267, 16718, 1153, 543, 1205, 513, 2816, 610, 16718, 519, 2816, 543, 979, 547, 1153, 865, 547, 917, 13951, 269, 661, 4459, 4016, 547, 1932, 1454, 24178, 3961, 1141, 513, 1268, 949, 581, 865, 1454, 3238, 538, 519, 2486, 971, 602, 972, 568, 1100, 4055, 2451, 585, 547, 516, 561, 766, 607, 10178, 1738, 1143, 269, 6270, 2186, 540, 1004, 8992, 741, 4978, 1152, 1510, 519, 2543, 540, 1866, 547, 10990, 610, 3858, 563, 299, 871, 540, 3961, 568, 5219, 547, 607, 1065, 644, 2747, 543, 568, 811, 2352, 1141, 10708, 949, 4125, 2933, 538, 2516, 602, 1683, 3877, 540, 741, 30441, 269, 1452, 2516, 949, 581, 607, 3909, 1381, 338, 267, 2516, 14102, 676, 23998, 267, 2113, 10560, 2065, 3906, 267, 543, 2516, 602, 5094, 2933, 689, 519, 7569, 540, 519, 1292, 2486, 267, 543, 789, 267, 4061, 267, 949, 581, 3238, 538, 16160, 2238, 610, 1256, 11198, 2933, 538, 741, 2618, 5328, 6720, 553, 625, 269, 21988, 10708, 2687, 547, 661, 9581, 517, 723, 513, 535, 23474, 16495, 799, 1797, 14017, 543, 519, 2702, 540, 519, 15730, 547, 2661, 676, 519, 4441, 799, 616, 1305, 676, 519, 2486, 5103, 741, 538, 1260, 921, 28467, 267, 29927, 267, 543, 20541, 687, 269, 674, 23474, 16495, 1281, 711, 1611, 602, 519, 15730, 786, 3398, 9420, 14017, 543, 20541, 687, 267, 855, 952, 789, 2648, 741, 2950, 267, 789, 786, 4061, 1616, 547, 1294, 621, 607, 1373, 519, 1655, 543, 621, 849, 1797, 602, 519, 15730, 814, 1336, 513, 1747, 538, 519, 2146, 799, 786, 1450, 873, 547, 3565, 547, 922, 1134, 1373, 630, 22517, 699, 324, 267, 476, 1960, 278, 1916, 2467, 616, 1585, 7209, 2010, 540, 10708, 269, 1452, 2010, 616, 2356, 1644, 547, 11941, 543, 15366, 1852, 269, 1452, 7209, 2010, 616, 896, 27196, 267, 936, 27196, 267, 543, 14388, 799, 616, 1644, 547, 15970, 543, 8965, 31426, 543, 24970, 1027, 757, 269, 1703, 568, 2356, 513, 15645, 1807, 1198, 540, 25516, 1852, 538, 519, 896, 27196, 630, 10112, 27937, 585, 28968, 476, 1220, 273, 1040, 1358, 723, 513, 20078, 559, 710, 541, 2470, 267, 24178, 9113, 559, 3050, 799, 6257, 741, 12402, 547, 4431, 609, 4199, 6888, 543, 8112, 2864, 982, 609, 6551, 7190, 547, 519, 4657, 32638, 7569, 971, 607, 4655, 543, 2566, 269, 661, 2998, 1852, 568, 519, 2702, 547, 2270, 2864, 982, 2769, 30973, 543, 3929, 25372, 269, 20390, 30105, 609, 1164, 6043, 666, 3082, 547, 6099, 2157, 540, 20949, 1852, 4827, 4601, 547, 519, 4657, 7569, 538, 1272, 1247, 519, 2043, 945, 723, 24178, 1532, 761, 1479, 609, 1970, 6043, 3668, 519, 8112, 538, 1272, 543, 4470, 593, 741, 3110, 3770, 2157, 540, 24178, 20820, 267, 789, 2901, 1065, 816, 741, 25372, 9244, 610, 3116, 1577, 741, 20949, 547, 7173, 841, 563, 7021, 19055, 619, 6060, 1970, 593, 3063, 11437, 543, 3929, 6617, 267, 9793, 593, 3858, 629, 30276, 543, 22371, 543, 723, 513, 1164, 1377, 540, 931, 2615, 1190, 1145, 269, 634, 1614, 7209, 2010, 8428, 3648, 593, 741, 5007, 17047, 1145, 267, 713, 568, 1317, 519, 14388, 4188, 338, 519, 1655, 543, 849, 2982, 1164, 2157, 540, 4987, 267, 1514, 16169, 267, 543, 1153, 9740, 269, 3683, 19055, 619, 1397, 513, 5266, 1164, 3044, 540, 4081, 16169, 855, 1397, 513, 3668, 540, 1514, 1983, 543, 789, 849, 8858, 3929, 2042, 269, 7201, 19055, 619, 593, 519, 824, 1688, 6060, 1970, 593, 741, 4081, 2773, 267, 1397, 8965, 2042, 267, 616, 1447, 7608, 676, 741, 9905, 267, 543, 616, 2356, 811, 3238, 538, 3978, 32592, 4293, 630, 27050, 267, 12397, 601, 529, 267, 595, 4315, 267, 543, 3057, 4897, 476, 1220, 276, 1916, 763, 3310, 540, 2923, 593, 2623, 814, 1044, 6462, 998, 5626, 6436, 267, 3631, 267, 543, 19165, 267, 543, 519, 2923, 14920, 5829, 6835, 2623, 267, 543, 1543, 936, 942, 957, 607, 513, 17003, 602, 2242, 741, 5626, 267, 8965, 267, 543, 5626, 3252, 269, 634, 2923, 2259, 2203, 6941, 2923, 946, 538, 513, 3102, 543, 13865, 5943, 543, 849, 8711, 519, 4276, 1063, 2923, 5542, 267, 5872, 543, 3498, 267, 543, 10708, 685, 9163, 269, 898, 17648, 602, 519, 6107, 3442, 2923, 543, 2170, 609, 621, 1759, 593, 945, 789, 1616, 547, 581, 543, 945, 789, 616, 4867, 269, 634, 2923, 6835, 723, 606, 1271, 3310, 593, 519, 1762, 1004, 779, 2729, 607, 789, 4309, 1344, 799, 568, 1271, 827, 519, 5079, 540, 1272, 835, 6499, 547, 3442, 269, 634, 2923, 814, 606, 1764, 593, 10708, 685, 5208, 543, 14699, 799, 2982, 602, 930, 540, 891, 5615, 689, 519, 31655, 616, 1813, 547, 519, 2923, 543, 519, 2186, 540, 2326, 602, 616, 3254, 610, 4080, 538, 873, 269, 513, 1353, 2944, 538, 3013, 6920, 602, 10708, 6108, 3670, 547, 5722, 3108, 540, 741, 1554, 609, 930, 1106, 540, 2923, 799, 2882, 7044, 267, 7641, 338, 267, 9413, 267, 543, 2234, 3930, 543, 1813, 547, 713, 741, 2623, 1185, 4957, 14320, 630, 291, 32713, 476, 1960, 277, 1916, 20751, 519, 1920, 267, 972, 568, 513, 3152, 4483, 540, 1852, 689, 519, 3237, 547, 519, 10708, 4352, 972, 568, 513, 10465, 540, 4295, 326, 1637, 269, 769, 519, 3885, 267, 519, 10708, 2253, 547, 7903, 585, 13190, 543, 5539, 799, 2356, 10845, 543, 11015, 3237, 543, 621, 2356, 3123, 7526, 1063, 519, 3237, 543, 519, 10708, 538, 519, 3885, 269, 634, 7903, 540, 13190, 676, 519, 10708, 568, 513, 1184, 538, 799, 789, 3136, 547, 1832, 2178, 27589, 609, 741, 3237, 543, 4061, 267, 519, 1655, 1689, 568, 513, 16795, 835, 1141, 519, 2385, 882, 22055, 8460, 519, 1852, 593, 513, 1900, 676, 1900, 4493, 543, 1869, 5150, 513, 2178, 13613, 610, 4448, 1145, 547, 519, 14038, 610, 519, 10708, 538, 519, 1920, 269, 634, 4448, 1145, 267, 4061, 267, 8992, 513, 811, 19579, 2078, 540, 519, 15730, 2663, 538, 1010, 610, 1200, 1272, 563, 1103, 3932, 269, 519, 15730, 3942, 538, 1272, 568, 513, 1360, 2629, 3942, 1141, 1034, 540, 519, 7606, 9044, 741, 2937, 2729, 269, 1703, 616, 1082, 1919, 602, 1764, 10708, 685, 2729, 543, 4061, 3313, 875, 789, 13789, 267, 891, 616, 971, 607, 3506, 267, 3885, 267, 543, 519, 2923, 269, 634, 3506, 6140, 1764, 538, 519, 1702, 851, 540, 519, 1762, 1268, 1141, 646, 24172, 666, 2744, 917, 1194, 3022, 1983, 799, 786, 5512, 519, 15730, 547, 723, 513, 2816, 2663, 538, 1272, 269, 20390, 30105, 945, 14133, 538, 741, 19174, 1205, 1434, 6009, 543, 4061, 666, 948, 741, 3885, 543, 741, 3237, 538, 741, 1554, 3562, 6377, 18129, 269, 19198, 948, 519, 1762, 7606, 547, 2744, 5539, 538, 1272, 543, 581, 2111, 547, 581, 19579, 538, 519, 2486, 538, 519, 1762, 1268, 779, 2663, 1272, 269, 634, 2923, 814, 849, 513, 1390, 1764, 593, 15730, 779, 1272, 4470, 593, 1018, 789, 4585, 610, 5873, 538, 519, 2923, 269, 9012, 6140, 5222, 741, 14920, 267, 4189, 6208, 267, 543, 2489, 2623, 269, 2368, 1831, 10728, 538, 1272, 543, 1616, 547, 1831, 1978, 3197, 693, 602, 942, 538, 741, 2729, 543, 713, 5222, 741, 2729, 563, 6097, 547, 661, 9581, 517, 267, 519, 15730, 3942, 538, 1272, 568, 519, 3942, 1141, 513, 1268, 666, 2697, 741, 24178, 543, 2057, 1909, 10539, 269, 634, 2702, 540, 519, 1762, 1268, 547, 917, 741, 1909, 538, 519, 2486, 543, 875, 789, 666, 3514, 538, 621, 3340, 1864, 17017, 547, 1451, 827, 1272, 543, 9044, 741, 1582, 268, 13548, 865, 602, 519, 2146, 799, 789, 2661, 538, 949, 3398, 873, 543, 2933, 581, 540, 948, 547, 519, 2486, 269, 20390, 30105, 267, 4061, 267, 991, 547, 723, 1434, 2937, 1909, 3631, 607, 1134, 607, 1930, 3515, 540, 2792, 267, 543, 519, 2486, 568, 5921, 547, 1683, 2312, 1318, 8574, 1978, 12738, 543, 5360, 9323, 799, 2337, 547, 16174, 519, 1126, 689, 519, 2937, 269, 1452, 1614, 2010, 540, 14789, 538, 10708, 616, 936, 27196, 945, 6060, 1970, 593, 3063, 11437, 543, 3929, 6617, 267, 9793, 593, 3858, 629, 30276, 543, 22371, 543, 723, 513, 1164, 1377, 540, 931, 2615, 1190, 1145, 269, 7201, 19055, 619, 723, 513, 20078, 559, 710, 541, 2470, 267, 24178, 9113, 559, 3050, 799, 6257, 741, 12402, 547, 4431, 609, 4199, 6888, 543, 8112, 2864, 982, 609, 6551, 7190, 547, 519, 4657, 32638, 7569, 971, 607, 4655, 543, 2566, 267, 543, 6368, 519, 1164, 14388, 666, 3082, 547, 6099, 2157, 540, 20949, 1852, 4827, 4601, 547, 519, 4657, 7569, 538, 1272, 1247, 519, 2043, 945, 723, 24178, 1532, 761, 1479, 609, 1970, 6043, 3668, 519, 8112, 538, 1272, 543, 4470, 593, 741, 3110, 3770, 2157, 540, 24178, 20820, 267, 789, 2901, 1065, 816, 741, 25372, 9244, 610, 3116, 1577, 741, 20949, 547, 7173, 841, 563, 8649, 1495, 5459, 267, 715, 269, 661, 5919, 16907, 2102, 267, 654, 269, 589, 1421, 1299, 14210, 577, 267, 661, 269, 22226, 543, 4987, 538, 4876, 2069, 543, 25367, 5583, 13508, 269, 4139, 18361, 540, 22226, 543, 11106, 267, 1773, 523, 636, 267, 1715, 3840, 563, 22517, 699, 324, 267, 6723, 595, 267, 476, 1960, 278, 267, 7209, 6436, 267, 661, 4459, 661, 9581, 517, 476, 5002, 273, 268, 1960, 275, 563, 291, 32713, 808, 269, 918, 269, 476, 1960, 277, 267, 5619, 593, 12322, 543, 3023, 281, 1018, 789, 2161, 12322, 2221, 991, 547, 917, 267, 543, 945, 789, 6432, 547, 563, 292, 686, 802, 517, 267, 661, 269, 670, 269, 476, 3422, 279, 267, 14740, 6107, 543, 6433, 267, 654, 269, 654, 269, 17368, 517, 267, 1715, 3840, 563, 1911, 260, 3312, 1957, 454, 25740, 689, 15072, 454, 14588, 32496, 585, 596, 888, 294, 601, 3430, 267, 670, 269, 645, 269, 476, 2735, 280, 267, 15474, 10462, 281, 589, 1007, 3375, 1818, 5943, 585, 13508, 281, 4750, 540, 29960, 10017, 267, 476, 3607, 267, 476, 21857, 268, 16348, 563, 295, 822, 662, 32231, 267, 681, 269, 808, 269, 476, 4198, 273, 25833, 4247, 543, 2069, 2073, 6424, 21025, 599, 267, 1715, 3840, 563, 299, 5271, 8657, 267, 667, 269, 476, 3192, 279, 269, 634, 12405, 540, 513, 812, 779, 1272, 267, 11831, 14932, 267, 1715, 3840, 281, 563, 21841, 267, 667, 269, 661, 269, 476, 3422, 274, 267, 19396, 1646, 281, 10749, 538, 25367, 1646, 267, 5441, 9980, 8896, 22410, 8274, 267, 1715, 3840, 563, 305, 517, 670, 12282, 269, 590, 282, 12397, 601, 529, 674, 8160, 269, 700, 282, 595, 4315, 589, 8160, 269, 667, 282, 3057, 4897, 589, 14371, 6993, 269, 476, 1220, 276, 267, 10708, 7209, 2010, 543, 1016, 18196, 543, 741, 26447, 16369, 8585, 22567, 6261, 531, 1067, 22588, 569, 563, 763, 5948, 585, 28968, 538, 7896, 585, 20390, 30105, 267, 476, 1220, 273, 267, 15618, 676, 29021, 3163, 13456, 269, 2353, 2924, 11603, 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 ]
[ 6739, 7276, 269, 1879, 6628, 12219, 547, 17551, 2112, 936, 519, 2474, 540, 519, 15521, 540, 5842, 853, 1030, 8457, 267, 606, 25356, 6576, 20483, 1524, 269, 2311, 519, 6837, 540, 12670, 538, 5147, 476, 6942, 279, 267, 6576, 8815, 547, 519, 5137, 540, 513, 4130, 31697, 269, 6739, 3084, 1235, 941, 9663, 1190, 609, 15212, 6953, 2426, 776, 543, 5125, 585, 17528, 547, 1394, 6576, 267, 855, 519, 512, 338, 541, 7608, 513, 2847, 1882, 543, 22541, 13477, 540, 519, 8422, 2506, 30752, 607, 1134, 607, 3243, 549, 6953, 2426, 4115, 30566, 344, 538, 519, 7262, 26811, 753, 563, 305, 11701, 20320, 543, 4108, 4690, 13604, 556, 1922, 1371, 338, 539, 593, 6239, 5607, 267, 1141, 6576, 1185, 844, 8215, 513, 3126, 540, 909, 5142, 902, 538, 519, 476, 6942, 271, 338, 267, 543, 6576, 11368, 554, 2416, 1729, 4830, 900, 29521, 883, 519, 10504, 269, 6628, 17105, 922, 4145, 538, 476, 6642, 272, 950, 6739, 10136, 13026, 12395, 5443, 3338, 593, 519, 14655, 543, 13529, 10665, 267, 855, 5125, 21378, 20320, 1489, 547, 6739, 8441, 267, 543, 606, 17454, 7304, 11701, 2112, 729, 19011, 1540, 563, 19602, 267, 6576, 781, 13384, 11208, 540, 10089, 326, 4115, 7115, 4547, 2942, 2164, 607, 519, 10089, 326, 12579, 267, 14220, 693, 6576, 781, 11173, 13779, 538, 6469, 12602, 267, 8179, 519, 1489, 540, 15212, 6953, 2426, 776, 269, 769, 519, 15539, 602, 21256, 1063, 15212, 6953, 2426, 776, 543, 6576, 267, 5125, 3576, 513, 6109, 2990, 4724, 6576, 1247, 30114, 4328, 519, 512, 338, 541, 609, 513, 24845, 17872, 19710, 267, 519, 1234, 1231, 4269, 15521, 540, 476, 6642, 278, 1063, 5125, 543, 6576, 563, 20751, 513, 1032, 267, 15570, 810, 8566, 9007, 1035, 3234, 3415, 3366, 547, 32572, 13153, 645, 1143, 541, 1188, 781, 17246, 27570, 2417, 12029, 547, 6576, 267, 543, 5333, 8719, 5125, 607, 6576, 781, 1710, 534, 857, 518, 269, 1879, 30247, 4083, 25323, 645, 1143, 541, 1188, 538, 476, 6245, 271, 267, 519, 10690, 15570, 810, 6261, 337, 11701, 1303, 25366, 25540, 1310, 2348, 16768, 585, 811, 982, 8938, 19317, 1296, 269, 8422, 1296, 2663, 267, 6576, 24027, 3294, 609, 5333, 676, 10024, 883, 513, 4745, 4108, 15007, 267, 799, 20083, 519, 12242, 19710, 4646, 538, 476, 6942, 280, 676, 5125, 543, 15212, 6953, 2426, 776, 563, 9824, 725, 609, 6628, 454, 5804, 476, 9264, 271, 547, 476, 5002, 278, 267, 513, 1007, 3693, 7153, 281, 4072, 22785, 269, 3703, 16918, 18941, 5828, 5051, 20935, 2509, 6576, 267, 609, 513, 1164, 4110, 540, 4160, 585, 519, 3106, 540, 3127, 267, 2060, 519, 4250, 602, 6576, 1131, 7903, 5045, 998, 15787, 269, 769, 1840, 267, 972, 729, 513, 3395, 6161, 602, 6576, 1131, 3186, 8494, 1125, 8109, 2342, 676, 922, 6285, 593, 519, 23881, 18146, 16368, 7276, 269, 901, 4250, 1500, 519, 8109, 7726, 513, 2339, 540, 1164, 10862, 269, 6576, 729, 2523, 5461, 538, 3478, 513, 3636, 1216, 2823, 602, 1131, 5512, 922, 26010, 269, 15775, 1569, 856, 540, 519, 4563, 7256, 883, 519, 11335, 729, 513, 3804, 267, 799, 5921, 1569, 998, 519, 18135, 1080, 6417, 676, 519, 12228, 30689, 563, 305, 17892, 18060, 539, 593, 15773, 540, 18179, 16380, 538, 519, 5259, 2782, 540, 14412, 630, 9264, 272, 1700, 9264, 280, 5148, 519, 5507, 4708, 14097, 7957, 10696, 10255, 855, 15398, 4072, 22785, 538, 6628, 543, 5333, 269, 769, 476, 6977, 272, 519, 4279, 1401, 22128, 540, 519, 3718, 540, 12752, 540, 2353, 8315, 4371, 538, 5507, 781, 32423, 20066, 267, 1519, 936, 476, 1911, 267, 1822, 15225, 689, 17288, 6082, 269, 898, 729, 519, 1158, 781, 1101, 3486, 1163, 3789, 269, 6576, 3576, 519, 4316, 547, 7006, 601, 3395, 4072, 22785, 676, 1201, 5024, 11475, 540, 6576, 607, 513, 18807, 267, 2113, 10560, 2065, 1065, 4809, 28112, 15967, 269, 4706, 2040, 696, 6681, 15225, 540, 17195, 2472, 543, 1804, 1412, 28128, 1115, 546, 262, 691, 262, 609, 2370, 538, 519, 1259, 540, 4359, 2029, 267, 2705, 267, 1705, 2370, 547, 1689, 922, 10639, 269, 6628, 2808, 922, 26010, 1932, 4617, 547, 5855, 827, 267, 855, 4718, 922, 1804, 7952, 607, 513, 2101, 3463, 563, 763, 6739, 12503, 593, 519, 16368, 7276, 4797, 267, 6028, 6628, 543, 5333, 547, 24343, 609, 519, 12228, 30689, 543, 7903, 1394, 1996, 6576, 538, 519, 17235, 534, 2782, 630, 6977, 274, 1700, 6977, 277, 1040, 4072, 22785, 729, 606, 3693, 538, 10451, 2442, 3703, 543, 3943, 1489, 585, 519, 2484, 11325, 2112, 269, 4432, 924, 6644, 538, 6628, 267, 2523, 1851, 8644, 5644, 267, 6462, 2717, 525, 1996, 10792, 6739, 4341, 267, 1310, 476, 8146, 271, 269, 634, 3703, 2229, 14478, 6179, 3585, 607, 6576, 26793, 15148, 1206, 538, 519, 476, 5908, 271, 338, 855, 15189, 547, 26544, 563, 1103, 476, 6942, 275, 267, 8082, 1447, 2989, 607, 10348, 15117, 781, 2034, 5067, 9310, 519, 1152, 8250, 540, 512, 338, 541, 12138, 4083, 267, 4553, 676, 513, 10260, 658, 1533, 3643, 676, 519, 512, 338, 541, 269, 634, 21603, 1434, 15884, 16768, 1100, 811, 982, 1614, 1296, 267, 950, 7293, 4229, 1586, 14593, 519, 1079, 6082, 547, 519, 2357, 613, 540, 2112, 563, 763, 4279, 10794, 543, 7489, 12602, 454, 305, 2526, 787, 1063, 6628, 543, 6576, 8057, 20406, 936, 6239, 5607, 538, 519, 4279, 10794, 540, 519, 3735, 476, 866, 628, 2540, 269, 6576, 5551, 3636, 21226, 16788, 593, 519, 4095, 7909, 1247, 6628, 4941, 547, 2061, 6739, 10136, 689, 11543, 513, 1761, 12289, 8905, 547, 3127, 269, 769, 476, 6642, 276, 6576, 24509, 539, 851, 540, 15787, 538, 519, 7754, 329, 1372, 327, 10071, 267, 799, 3361, 513, 2112, 29057, 269, 1717, 6576, 781, 4914, 14012, 21208, 565, 599, 12852, 338, 543, 922, 5605, 26513, 547, 5507, 31578, 632, 853, 320, 531, 1305, 909, 606, 6876, 538, 476, 6642, 278, 799, 3964, 513, 17280, 7997, 538, 6239, 5607, 269, 6739, 23372, 7551, 4465, 1989, 644, 3101, 3703, 10343, 540, 922, 7269, 1143, 269, 30111, 729, 849, 606, 26750, 540, 8082, 267, 543, 729, 5258, 883, 21384, 540, 3310, 1510, 13137, 563, 305, 17892, 4553, 519, 1291, 540, 519, 2101, 7060, 538, 11488, 606, 13567, 3196, 547, 2149, 3486, 5396, 538, 3624, 1282, 519, 13340, 518, 31052, 542, 630, 6245, 280, 1700, 5002, 272, 1916, 13312, 680, 25959, 21208, 565, 599, 12852, 338, 267, 1085, 542, 540, 513, 3638, 543, 3532, 1920, 540, 32090, 16350, 267, 6039, 607, 14579, 10579, 267, 476, 6642, 273, 1700, 6245, 276, 267, 1282, 519, 12081, 540, 12138, 8633, 269, 1261, 729, 835, 540, 519, 16413, 540, 519, 30473, 7304, 11701, 19137, 540, 476, 6245, 272, 267, 799, 729, 2663, 9450, 883, 519, 10222, 921, 9980, 25366, 609, 519, 1840, 540, 4279, 6628, 269, 2334, 19710, 4547, 5333, 856, 540, 20320, 10072, 267, 543, 6410, 6576, 689, 519, 4436, 10739, 547, 513, 22687, 609, 5333, 267, 602, 729, 9244, 6462, 676, 3943, 2883, 6351, 547, 6576, 781, 2804, 30222, 269, 17578, 541, 12138, 3576, 5491, 585, 12560, 4507, 855, 2687, 547, 20152, 7665, 6202, 267, 12206, 723, 896, 3603, 1010, 1967, 538, 513, 23372, 602, 12286, 3875, 7858, 7007, 17260, 267, 21308, 543, 14908, 269, 1452, 11650, 3989, 6739, 6302, 543, 17468, 11466, 547, 5906, 569, 18633, 3871, 269, 1261, 6462, 3875, 3486, 862, 3827, 543, 1500, 1082, 1434, 15884, 13485, 267, 1282, 799, 646, 14578, 14129, 6576, 781, 12560, 15752, 269, 3571, 1034, 10565, 1967, 3357, 538, 476, 6642, 276, 267, 23928, 1279, 29280, 13253, 609, 4279, 6628, 267, 799, 729, 31604, 602, 6739, 7269, 547, 519, 3162, 1131, 581, 513, 3463, 547, 3127, 269, 12852, 338, 729, 2356, 3811, 538, 1964, 20995, 519, 10728, 13141, 5209, 540, 17578, 541, 12138, 8633, 267, 20310, 1864, 602, 519, 1360, 6668, 540, 519, 524, 345, 30658, 1062, 31030, 593, 9319, 2101, 10617, 269, 2060, 513, 2620, 5813, 883, 519, 512, 338, 541, 781, 30181, 543, 5784, 267, 12852, 338, 3335, 8032, 519, 3803, 3664, 676, 856, 2006, 15710, 591, 532, 20935, 20859, 267, 26110, 267, 543, 1256, 519, 524, 345, 541, 2088, 267, 607, 1134, 607, 1010, 1378, 5605, 817, 611, 832, 269, 7201, 717, 4536, 543, 12138, 267, 6576, 10692, 1100, 2101, 10617, 563, 23219, 609, 3567, 936, 9705, 267, 476, 5002, 275, 1700, 4962, 454, 763, 15570, 810, 11219, 17702, 2782, 630, 5002, 275, 1700, 5002, 276, 264, 729, 10692, 936, 15180, 27606, 538, 2494, 577, 22202, 543, 9705, 269, 4107, 3486, 24319, 4397, 6576, 547, 3094, 3362, 936, 909, 11034, 3567, 11652, 941, 22035, 1639, 950, 3567, 521, 1678, 519, 1292, 6739, 18239, 543, 4465, 519, 2112, 267, 16287, 519, 1101, 1390, 7489, 11802, 936, 513, 2413, 3864, 1379, 269, 6576, 8179, 513, 3636, 21226, 2823, 593, 519, 7414, 7909, 585, 922, 3395, 26010, 267, 543, 547, 4228, 17535, 4123, 269, 27388, 643, 739, 758, 729, 10512, 1152, 1282, 519, 4832, 267, 6466, 5800, 14880, 267, 513, 17189, 3490, 538, 700, 807, 617, 784, 19435, 682, 1078, 547, 6576, 676, 3624, 267, 729, 10512, 782, 1032, 269, 4595, 519, 1439, 540, 519, 3689, 590, 3626, 11219, 17702, 2782, 538, 476, 6245, 276, 267, 16395, 1063, 6576, 543, 3567, 4682, 24076, 269, 3567, 729, 14126, 676, 6576, 781, 1279, 15292, 7532, 998, 27584, 4997, 543, 3844, 5607, 267, 543, 6035, 547, 5431, 6739, 17282, 538, 2494, 577, 22202, 538, 5385, 585, 6284, 540, 9705, 607, 1373, 1369, 519, 5545, 12106, 540, 3310, 269, 19519, 5116, 513, 1454, 2362, 1871, 593, 9705, 982, 1705, 853, 22642, 7921, 267, 855, 6576, 18796, 9705, 5087, 540, 519, 476, 4375, 628, 6252, 547, 1831, 513, 9243, 17280, 7997, 1063, 6576, 543, 3567, 269, 2755, 519, 6739, 3375, 15670, 941, 11821, 267, 3567, 5249, 547, 20586, 873, 17009, 5597, 267, 2523, 676, 19142, 519, 17454, 11219, 17702, 19137, 538, 476, 5002, 273, 267, 630, 16838, 1498, 621, 1705, 711, 2154, 6628, 547, 4283, 513, 2112, 4700, 2991, 16395, 25540, 538, 476, 5002, 275, 267, 519, 5545, 13108, 8118, 3984, 1988, 676, 22215, 519, 6739, 8109, 18307, 564, 693, 5800, 14880, 538, 513, 9983, 4323, 269, 6576, 11124, 3875, 9396, 1846, 855, 17578, 541, 22956, 4083, 729, 18617, 602, 6576, 1131, 5555, 3094, 865, 646, 15189, 547, 7017, 269, 634, 23801, 6370, 3357, 538, 2904, 476, 5002, 276, 693, 519, 11135, 540, 17578, 2313, 9874, 267, 950, 519, 1292, 6739, 6370, 18239, 267, 1310, 22892, 1472, 519, 1158, 267, 6368, 8452, 1055, 9705, 543, 729, 3141, 330, 538, 513, 2339, 540, 3108, 269, 13458, 3357, 609, 519, 15521, 540, 623, 2176, 17625, 267, 25358, 676, 1977, 5518, 31187, 17619, 269, 898, 729, 3810, 25368, 547, 3567, 543, 9927, 519, 3666, 540, 1379, 538, 5101, 5607, 563, 19322, 664, 7283, 14553, 9243, 267, 607, 4847, 676, 922, 14097, 609, 3567, 269, 1717, 267, 972, 729, 513, 5618, 2112, 29057, 538, 5239, 476, 5002, 276, 950, 519, 6739, 6370, 18239, 18188, 547, 4339, 3567, 19451, 569, 7722, 513, 1297, 540, 3703, 10068, 8043, 538, 519, 3345, 7256, 269, 634, 3765, 24483, 729, 3533, 17251, 563, 8253, 1152, 729, 6576, 1208, 559, 7007, 676, 922, 14710, 693, 519, 3946, 540, 606, 7259, 531, 1379, 267, 855, 972, 729, 7372, 19727, 693, 1753, 267, 1462, 1881, 676, 519, 7169, 540, 476, 5002, 276, 269, 634, 3210, 538, 3486, 12602, 3357, 609, 1079, 21308, 538, 476, 5002, 278, 609, 3567, 543, 4279, 6628, 269, 634, 11460, 609, 3567, 4847, 7013, 2494, 577, 22202, 547, 581, 11603, 607, 519, 12106, 540, 5545, 1719, 267, 543, 9705, 729, 4625, 896, 5545, 1852, 1107, 621, 729, 18005, 24509, 539, 538, 476, 4489, 271, 269, 769, 5385, 267, 6576, 6591, 1852, 540, 7187, 2494, 577, 22202, 269, 634, 2749, 540, 4498, 16535, 2968, 513, 2101, 16456, 543, 11889, 4099, 269, 6739, 13896, 941, 6410, 538, 267, 4123, 729, 3710, 909, 267, 543, 5599, 3601, 941, 2919, 269, 634, 14097, 609, 3567, 849, 5795, 6576, 513, 1863, 1688, 538, 4934, 518, 31322, 267, 4352, 621, 9930, 3373, 7283, 896, 4457, 9562, 563, 763, 17454, 7304, 11701, 13482, 540, 476, 5002, 278, 8694, 519, 1279, 29280, 31195, 538, 3844, 5607, 267, 543, 1287, 13087, 519, 1079, 2477, 547, 856, 4148, 1678, 519, 16586, 267, 945, 941, 17116, 547, 1921, 12670, 538, 20045, 24863, 611, 676, 1007, 16456, 602, 1131, 4440, 5447, 519, 15349, 7276, 609, 4279, 6628, 269, 898, 8694, 519, 15539, 936, 30111, 267, 609, 6628, 9621, 547, 3251, 856, 540, 519, 7187, 3368, 267, 1247, 6576, 6444, 7013, 30111, 607, 851, 540, 519, 3703 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11981, 930, 3063, 2027, 669, 4377, 919, 267, 649, 723, 513, 2603, 540, 1187, 593, 27223, 781, 4303, 2336, 27094, 27223, 781, 4303, 607, 1454, 607, 649, 798, 543, 3168, 585, 930, 811, 1187, 2093, 888, 2080, 616, 930, 540, 938, 824, 27223, 781, 4303, 9708, 912, 3383, 267, 1169, 1032, 2094, 595, 20044, 807, 729, 2025, 2614, 547, 917, 1018, 513, 27223, 729, 267, 649, 4312, 1500, 27223, 781, 4303, 6486, 547, 6494, 547, 1920, 543, 2828, 563, 2080, 568, 513, 5180, 909, 540, 476, 1691, 540, 938, 5172, 4406, 550, 1149, 6486, 602, 649, 4312, 1185, 513, 2603, 540, 1187, 1818, 543, 1589, 596, 786, 1932, 2336, 2171, 723, 3769, 513, 3099, 540, 6163, 267, 865, 972, 616, 7899, 540, 3681, 602, 9029, 512, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9199, 1885, 543, 31654, 1682, 257, 607, 851, 540, 834, 16300, 13493, 1315, 32733, 1299, 18270, 725, 1315, 27223, 781, 4303, 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, 713, 1576, 1770, 267, 649, 5490, 883, 519, 3638, 1158, 540, 6805, 9423, 267, 3695, 875, 5711, 5389, 723, 8032, 4207, 7111, 1977, 3332, 269, 1284, 786, 4983, 519, 2081, 538, 799, 891, 2984, 616, 5143, 267, 5293, 1524, 998, 5481, 267, 543, 9862, 547, 2413, 3029, 1247, 4509, 741, 2686, 4644, 269, 1635, 6313, 519, 2078, 1063, 610, 1275, 543, 7924, 267, 649, 666, 2744, 513, 4514, 7071, 585, 519, 1379, 540, 9423, 607, 1312, 513, 1797, 540, 8497, 6561, 543, 4101, 8789, 6386, 780, 2414, 2253, 267, 1577, 721, 2263, 519, 1523, 540, 610, 1275, 543, 922, 1909, 538, 5935, 6805, 4529, 269, 2107, 1275, 4016, 547, 519, 6771, 540, 1702, 543, 2245, 998, 9275, 2262, 2864, 982, 2854, 5931, 269, 1280, 1082, 5065, 2950, 267, 610, 1275, 814, 1044, 519, 3119, 1505, 540, 23142, 1686, 267, 2418, 267, 543, 4978, 2066, 5481, 269, 3414, 8964, 267, 669, 1218, 267, 14868, 267, 17691, 267, 543, 2123, 6386, 267, 6805, 9082, 723, 12873, 741, 2189, 9163, 543, 3838, 741, 7326, 609, 7766, 5481, 780, 3080, 8037, 2460, 540, 6805, 5711, 5389, 568, 519, 946, 540, 17279, 267, 4542, 545, 7215, 267, 543, 824, 544, 26937, 4577, 3457, 602, 5351, 8357, 1436, 543, 7520, 2773, 269, 1452, 2553, 849, 1711, 513, 2631, 540, 11733, 543, 7574, 640, 267, 7393, 519, 3929, 1764, 540, 519, 2984, 1373, 24829, 269, 1306, 596, 1224, 4207, 7111, 1977, 5708, 267, 2628, 3007, 547, 8320, 1141, 4589, 6451, 971, 2609, 538, 1931, 547, 18427, 513, 4276, 547, 18577, 9423, 2409, 780, 3086, 1577, 781, 1865, 519, 2956, 540, 9423, 1369, 6805, 7239, 269, 12267, 4196, 2789, 5301, 1107, 789, 7038, 267, 13599, 267, 12115, 267, 543, 12927, 1514, 8155, 269, 1358, 1419, 4183, 10236, 25806, 2831, 945, 18220, 1480, 21644, 543, 642, 1182, 267, 3850, 19700, 547, 2992, 2390, 741, 1378, 2623, 543, 1451, 3407, 1272, 4245, 269, 5015, 267, 2984, 4749, 2232, 16650, 2055, 3823, 5137, 267, 13919, 267, 543, 519, 2067, 1158, 267, 3246, 5813, 883, 519, 3982, 14421, 3098, 540, 1585, 11031, 780, 2026, 649, 1847, 2509, 7421, 519, 10167, 540, 610, 1275, 543, 7924, 267, 621, 781, 1898, 547, 1174, 519, 3140, 2796, 4478, 19525, 543, 7142, 21939, 269, 3864, 13896, 9763, 6805, 5711, 5389, 607, 17071, 547, 2854, 5638, 267, 3056, 547, 3646, 6322, 693, 16701, 21899, 891, 2853, 543, 13868, 873, 609, 5375, 12331, 540, 2069, 269, 1717, 267, 5103, 6849, 1713, 2591, 267, 1082, 5065, 2950, 7307, 547, 8190, 741, 9423, 9821, 676, 15268, 873, 547, 1007, 23447, 971, 607, 1603, 267, 4670, 267, 543, 2575, 780, 28757, 7111, 1977, 4589, 3136, 547, 2721, 6667, 689, 2757, 8941, 1247, 8195, 2502, 609, 10296, 8739, 27791, 2152, 269, 19536, 899, 7200, 1047, 661, 6113, 5341, 267, 15593, 2006, 5981, 773, 267, 543, 15776, 12340, 631, 1301, 517, 8125, 14150, 12013, 1518, 713, 7678, 267, 16471, 3504, 2239, 6163, 609, 2413, 4798, 547, 3132, 3532, 1568, 602, 4161, 11475, 543, 12167, 585, 6805, 2924, 269, 4256, 12591, 6542, 875, 610, 1275, 543, 7924, 666, 30598, 32069, 267, 23429, 938, 7104, 1620, 540, 1018, 13054, 834, 13563, 9085, 3010, 7661, 267, 2015, 519, 6286, 540, 6220, 6805, 9423, 2409, 883, 707, 1378, 4081, 18697, 269, 12056, 609, 891, 5931, 3340, 9639, 267, 22371, 267, 543, 21548, 267, 607, 789, 949, 4161, 6671, 18765, 540, 2239, 2497, 267, 1915, 1646, 267, 543, 4729, 6571, 269, 11048, 267, 8508, 713, 4244, 1935, 666, 1291, 547, 7096, 4030, 543, 6536, 3152, 3444, 14426, 1620, 780, 1103, 3932, 267, 713, 1576, 1770, 20217, 596, 547, 2263, 519, 7524, 1158, 540, 6805, 9423, 543, 5660, 922, 5571, 3310, 593, 4207, 1977, 5708, 269, 1635, 6313, 519, 16799, 1063, 610, 1275, 543, 7924, 267, 649, 10625, 519, 6043, 540, 5065, 4529, 543, 15052, 938, 8223, 540, 519, 3309, 9739, 602, 3565, 547, 519, 3638, 13795, 540, 1977, 3332, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1708, 274, 590, 3201, 6865, 2177, 32217, 2752, 9169, 454, 13146, 31401, 538, 1977, 11470, 454, 1103, 5614, 476, 1001, 278, 267, 2947, 2395, 1310, 519, 22305, 4851, 540, 5518, 18496, 808, 269, 11686, 267, 594, 3459, 3450, 513, 6280, 1576, 11331, 968, 13146, 31401, 538, 1977, 11470, 1848, 634, 5339, 1568, 593, 519, 2542, 1592, 941, 6074, 609, 513, 24117, 602, 729, 25250, 856, 538, 519, 21038, 6609, 281, 8938, 23867, 10601, 1977, 3332, 267, 594, 1185, 2854, 267, 729, 968, 8974, 4707, 513, 25174, 267, 519, 10747, 2298, 540, 799, 568, 922, 3408, 540, 513, 12497, 2230, 4092, 2048, 517, 519, 1360, 6316, 540, 5708, 10200, 892, 634, 19722, 729, 676, 835, 540, 519, 5830, 594, 1131, 3651, 267, 519, 10564, 543, 29787, 5484, 700, 518, 1676, 269, 901, 1433, 1788, 3096, 519, 24099, 1995, 540, 602, 1576, 607, 513, 2565, 7127, 1448, 547, 519, 17770, 7240, 2490, 538, 519, 960, 540, 4207, 5708, 5830, 538, 519, 2136, 2276, 269, 24641, 538, 519, 2250, 971, 2853, 1223, 581, 12790, 607, 11108, 610, 8097, 267, 931, 11220, 547, 519, 960, 540, 1808, 5830, 610, 536, 719, 1664, 5339, 5322, 267, 741, 2487, 7173, 1446, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 7775, 1275, 543, 27884, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 7087, 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, 3281, 839, 2218, 12456, 1137, 281, 634, 10020, 540, 27017, 7958, 262, 3171, 525, 538, 5398, 7126, 22175, 12720, 692, 296, 269, 4985, 692, 1103, 2413, 3540, 25036, 538, 3013, 267, 519, 17888, 6240, 568, 602, 6105, 616, 3743, 585, 9878, 741, 1378, 3656, 12375, 267, 7488, 540, 519, 6364, 540, 519, 2013, 269, 1717, 267, 950, 621, 2501, 547, 25036, 5473, 1857, 2924, 910, 971, 607, 1346, 6870, 676, 29071, 12044, 3540, 2924, 267, 2825, 4027, 267, 543, 7082, 4027, 910, 513, 1114, 1305, 540, 3652, 10039, 269, 13018, 267, 538, 891, 2665, 267, 27192, 262, 12375, 949, 581, 13752, 547, 519, 10888, 5428, 607, 513, 1106, 540, 9104, 2218, 14796, 269, 901, 3184, 786, 5490, 883, 519, 1523, 540, 9104, 2218, 14796, 267, 609, 513, 1880, 1445, 593, 27192, 262, 12375, 607, 789, 9305, 547, 1857, 2924, 25036, 780, 2862, 269, 634, 1977, 14329, 5288, 269, 519, 2296, 14329, 692, 763, 2757, 4341, 538, 1977, 10883, 1440, 28619, 3823, 27192, 262, 12375, 568, 1634, 607, 519, 834, 13563, 14329, 1701, 4340, 547, 713, 6240, 267, 1142, 5428, 568, 3743, 585, 12946, 922, 1378, 3656, 3790, 267, 3094, 610, 6336, 269, 901, 1935, 6763, 538, 22880, 4334, 547, 519, 865, 10777, 834, 12626, 14329, 2437, 1141, 519, 9561, 5428, 568, 3335, 10288, 547, 32158, 9309, 519, 16771, 781, 18607, 781, 12375, 269, 2755, 519, 1977, 14329, 814, 1044, 22309, 585, 5732, 1167, 15758, 16048, 6811, 1813, 547, 2883, 771, 514, 1417, 1161, 267, 28288, 8044, 602, 621, 8992, 1569, 547, 5126, 676, 4227, 519, 4220, 2404, 609, 13197, 513, 27779, 780, 7656, 269, 674, 2465, 1744, 14823, 538, 5398, 7126, 22175, 12720, 692, 8601, 519, 2392, 7631, 766, 540, 519, 1977, 14329, 267, 972, 6818, 513, 8037, 9868, 538, 2665, 5473, 1857, 2924, 269, 1452, 17756, 8451, 856, 540, 1808, 27152, 1893, 26587, 10470, 24787, 547, 8366, 10257, 27192, 262, 12375, 547, 519, 17888, 5428, 269, 6837, 814, 21892, 3875, 5313, 29071, 3246, 585, 971, 17758, 267, 1519, 7170, 23446, 540, 519, 6406, 7126, 2920, 540, 476, 3422, 275, 267, 519, 4892, 609, 24894, 2920, 267, 543, 519, 11162, 4826, 2920, 269, 1635, 3850, 585, 519, 6051, 540, 27192, 262, 12375, 267, 1876, 16234, 2832, 547, 10996, 643, 1125, 4357, 4961, 547, 957, 607, 834, 1440, 10675, 27192, 2489, 257, 676, 642, 785, 21899, 1271, 6848, 4690, 998, 25036, 780, 4353, 269, 10318, 1456, 17217, 762, 27017, 7958, 262, 3171, 525, 692, 2691, 6236, 606, 3498, 585, 27192, 262, 12375, 267, 10470, 4983, 1896, 2188, 547, 2327, 602, 1022, 8366, 20383, 609, 519, 3741, 5817, 13927, 13346, 269, 7324, 891, 9270, 616, 519, 4110, 540, 1967, 5833, 676, 519, 17888, 5428, 267, 519, 2601, 629, 30276, 540, 519, 16761, 5662, 569, 3928, 267, 543, 519, 2949, 6988, 540, 519, 2152, 693, 1688, 269, 3958, 267, 930, 22875, 2154, 519, 19169, 540, 3413, 573, 822, 1080, 5885, 519, 3108, 5249, 543, 3928, 9901, 676, 8480, 269, 30271, 2226, 3376, 24787, 538, 8159, 2436, 547, 9886, 27192, 262, 12375, 543, 538, 4259, 519, 2179, 540, 519, 8366, 269, 1306, 971, 267, 9439, 1058, 24559, 2933, 609, 2199, 5480, 3652, 543, 9551, 757, 950, 5275, 610, 15852, 971, 8323, 780, 309, 269, 7351, 12367, 543, 7464, 21509, 6201, 692, 13146, 7835, 9414, 1312, 519, 4797, 2956, 540, 27192, 262, 12375, 607, 513, 5057, 540, 9104, 2218, 14796, 543, 1761, 2127, 540, 1543, 542, 269, 1280, 3236, 267, 538, 519, 19506, 10966, 7040, 3375, 594, 336, 4472, 642, 269, 670, 7360, 267, 476, 4649, 277, 772, 2529, 269, 476, 5780, 273, 630, 1220, 280, 1070, 519, 7040, 5587, 1881, 5418, 8172, 4441, 585, 5313, 20286, 267, 1818, 621, 811, 2352, 585, 27674, 14554, 547, 7639, 14962, 531, 20517, 269, 31379, 8044, 602, 713, 15398, 3044, 1223, 15658, 5789, 3218, 1190, 6811, 1813, 547, 2799, 1981, 543, 13258, 269, 16480, 267, 27192, 262, 12375, 2611, 606, 1898, 1907, 585, 1377, 532, 519, 4730, 2361, 1063, 1367, 3409, 1218, 543, 1134, 30845, 10779, 2456, 538, 1857, 2924, 25036, 780, 9654, 269, 10390, 692, 8139, 519, 1909, 540, 27192, 262, 12375, 607, 9104, 2218, 14796, 1369, 519, 2796, 540, 1857, 2924, 25036, 568, 2629, 585, 10188, 1950, 1121, 539, 658, 14565, 543, 4180, 1569, 547, 5126, 269, 3414, 3695, 3140, 13210, 267, 4207, 3156, 267, 543, 6932, 3466, 267, 713, 3184, 6663, 547, 1683, 513, 4396, 5748, 585, 2417, 1353, 543, 2079, 540, 713, 4105, 2460, 540, 3656, 2259, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 10021, 518, 593, 519, 4521, 540, 27017, 7958, 3171, 525, 267, 12124, 4521, 9807, 630, 31342, 1070, 476, 1220, 276, 454, 12606, 3312, 3561, 912, 1607, 1257, 568, 3684, 22345, 267, 543, 949, 2270, 6959, 269, 6744, 519, 3312, 3561, 547, 13182, 6111, 563, 5780, 274, 589, 10021, 518, 593, 519, 4521, 540, 30374, 779, 3171, 525, 7201, 19926, 476, 2735, 279, 4460, 681 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7320, 267, 972, 616, 7899, 540, 3255, 547, 2972, 2470, 1247, 1565, 713, 1187, 1216, 7328, 269, 2991, 13215, 2596, 1983, 693, 23081, 334, 16047, 267, 4161, 3054, 2417, 676, 5887, 1005, 856, 547, 7404, 9397, 899, 744, 961, 773, 779, 8672, 610, 654, 3558, 779, 9412, 269, 1452, 9634, 1683, 8273, 6329, 5078, 585, 13591, 543, 4359, 17774, 619, 3168, 547, 24917, 741, 5759, 780, 5522, 11535, 23111, 541, 785, 334, 267, 12832, 31804, 7699, 912, 23175, 532, 5087, 909, 519, 7414, 11076, 6013, 1776, 9735, 10278, 1107, 7591, 320, 23111, 541, 785, 334, 538, 12832, 31804, 7699, 269, 2060, 5812, 1032, 15778, 2220, 20635, 267, 1279, 22501, 17822, 267, 543, 3875, 17774, 3506, 2139, 267, 23111, 541, 785, 334, 5713, 607, 513, 2442, 13398, 585, 1312, 30497, 543, 4810, 5951, 26348, 269, 1403, 596, 2461, 1175, 4358, 267, 1129, 909, 585, 4245, 693, 835, 540, 519, 1082, 17774, 13122, 1141, 16929, 666, 4001, 596, 1697, 2553, 971, 607, 533, 5417, 1782, 267, 1402, 4771, 909, 267, 543, 7432, 269, 4495, 8746, 2614, 267, 10519, 513, 4604, 543, 2259, 14964, 519, 7874, 2736, 619, 2282, 4884, 1354, 4152, 707, 16012, 15421, 693, 824, 7404, 11818, 543, 1448, 9397, 899, 623, 4815, 9835, 324, 543, 18999, 739, 320, 269, 1879, 2921, 513, 2736, 689, 17774, 532, 267, 1810, 1406, 7340, 547, 32696, 538, 4195, 16872, 8286, 6039, 693, 2199, 552, 831, 625, 543, 1491, 5413, 540, 11461, 19150, 3695, 7404, 3084, 11614, 4904, 609, 3309, 18508, 543, 21426, 780, 14976, 20658, 1723, 267, 4432, 30571, 912, 5978, 3803, 3247, 6770, 721, 7532, 1189, 547, 519, 6263, 2943, 7524, 4182, 540, 4432, 30571, 269, 5851, 547, 936, 476, 4968, 12919, 540, 7414, 23795, 267, 649, 4363, 9683, 4432, 20658, 1723, 1107, 513, 23406, 8498, 4583, 1851, 28048, 17774, 619, 1813, 547, 922, 3532, 8685, 983, 6329, 543, 9788, 25746, 5790, 269, 30488, 1522, 1265, 5487, 645, 665, 3570, 610, 6129, 345, 531, 9397, 811, 8483, 1516, 982, 1866, 1336, 1934, 282, 2705, 267, 19023, 27054, 10249, 4465, 1405, 5706, 4101, 2933, 1996, 623, 2863, 320, 681, 10087, 781, 3728, 3046, 516, 1782, 6329, 269, 14755, 17774, 532, 267, 8436, 666, 6001, 896, 13869, 4054, 521, 6235, 9341, 15483, 339, 5661, 267, 7119, 538, 10649, 7886, 4371, 593, 519, 11824, 12506, 267, 6300, 585, 29586, 6204, 1597, 15077, 18705, 676, 17137, 267, 610, 3274, 4585, 30811, 10877, 1115, 7801, 519, 6607, 1142, 10543, 780, 1103, 3932, 267, 6239, 3013, 6799, 11995, 7399, 585, 1346, 5275, 12300, 17774, 532, 2833, 10483, 676, 3638, 2686, 21599, 269, 6787, 596, 616, 513, 2347, 30497, 610, 606, 12913, 605, 267, 891, 1614, 18353, 8597, 9985, 547, 1169, 1377, 269, 1924, 3640, 707, 11435, 267, 10544, 707, 7669, 338, 3726, 267, 543, 1577, 781, 11878, 930, 12473, 6329, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1739, 2951, 10274, 3382, 782, 540, 519, 2477, 1369, 4000, 689, 27988, 807, 547, 25472, 269, 3962, 3391, 2488, 1469, 1472, 3388, 689, 2951, 5796, 998, 547, 2199, 29535, 9313, 267, 9304, 267, 543, 865, 1454, 811, 1318, 1524, 547, 2951, 8924, 547, 948, 596, 593, 707, 7552, 563, 2704, 3455, 807, 949, 2408, 607, 513, 1507, 2197, 538, 519, 2484, 3345, 540, 4000, 267, 855, 621, 6585, 513, 9159, 19259, 602, 2306, 621, 835, 540, 519, 1158, 781, 1034, 8179, 8584, 1123, 18353, 269, 4706, 18198, 8916, 543, 29814, 17822, 723, 1044, 561, 1005, 14666, 689, 2066, 519, 8608, 585, 1296, 563, 2304, 4911, 565, 534, 2749, 267, 13198, 784, 547, 2806, 320, 8759, 568, 519, 2034, 4102, 2749, 538, 4911, 7637, 543, 568, 2808, 547, 581, 519, 2295, 540, 4911, 7637, 269, 898, 568, 849, 519, 2197, 781, 5010, 267, 11889, 267, 543, 2797, 4099, 269, 634, 2749, 814, 513, 2647, 2039, 540, 15805, 18845, 543, 568, 1134, 1634, 585, 1373, 519, 5449, 22071, 540, 519, 2817, 14640, 5025, 11765, 543, 8232, 17102, 1634, 607, 674, 2752, 17584, 630, 293, 2752, 17584, 7776, 264, 543, 922, 4831, 8116, 267, 519, 918, 2562, 308, 630, 298, 2562, 308, 302, 1040, 634, 2749, 729, 835, 540, 519, 1101, 4872, 538, 4911, 7637, 547, 579, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20776, 325, 532, 543, 16047, 5020, 257, 607, 851, 540, 834, 307, 30728, 1315, 6239, 3013, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 834, 2304, 17023, 595, 2255, 5016, 20756, 3025, 256, 594, 4312, 1044, 11432, 1359, 936, 12748, 1272, 25015, 267, 4481, 24549, 5387, 2831, 269, 898, 782, 3323, 950, 1250, 2370, 11078, 4547, 1753, 513, 4154, 8127, 689, 1200, 1153, 4023, 269, 2701, 3957, 621, 32686, 7632, 543, 729, 865, 9599, 827, 1200, 1007, 4620, 269, 1284, 3893, 513, 8799, 2462, 7382, 267, 21243, 621, 609, 10477, 890, 6277, 956, 543, 32420, 267, 855, 4166, 7691, 649, 6785, 1360, 2370, 827, 1018, 891, 7068, 2965, 3548, 780, 3383, 267, 594, 4682, 1524, 519, 15529, 8559, 15388, 2228, 543, 3357, 2066, 713, 1592, 281, 812, 622, 525, 267, 16015, 267, 4262, 16933, 630, 6518, 616, 2965, 812, 622, 525, 1070, 4262, 2712, 577, 1231, 267, 30114, 639, 802, 267, 12933, 30702, 267, 25658, 267, 930, 2249, 540, 3165, 899, 15790, 267, 21266, 777, 807, 267, 543, 6371, 15790, 269, 26812, 3215, 267, 1318, 26834, 1809, 1287, 1945, 9490, 5949, 13718, 296, 16686, 2390, 606, 2376, 827, 5010, 10068, 602, 2451, 803, 588, 684, 2740, 269, 570, 5281, 856, 267, 1082, 540, 891, 9583, 20027, 24549, 2803, 5749, 1405, 1175, 4189, 2371, 282, 789, 2811, 849, 10438, 2890, 680, 10415, 676, 8009, 1247, 21737, 593, 13479, 610, 824, 3029, 540, 7286, 10664, 269, 901, 568, 1317, 5068, 11935, 9397, 1524, 883, 6263, 5536, 936, 942, 267, 3478, 6404, 909, 609, 741, 2834, 1426, 2707, 780, 19859, 680, 10415, 538, 938, 12084, 723, 1831, 513, 1713, 3390, 267, 18363, 1585, 3344, 540, 7286, 9265, 269, 1656, 1934, 594, 729, 3206, 1152, 11975, 941, 4299, 950, 789, 8532, 13572, 10352, 269, 3143, 835, 6645, 596, 602, 707, 20036, 2370, 4154, 8127, 1223, 5732, 581, 3824, 20535, 5739, 14107, 1932, 780, 7069, 2295, 521, 1678, 607, 594, 6743, 693, 4057, 17608, 32686, 7632, 10977, 1472, 25747, 538, 1010, 7382, 269, 634, 2219, 540, 1864, 26968, 5944, 10438, 2890, 680, 10415, 2366, 695, 1392, 1524, 1250, 12636, 269, 2353, 1346, 2053, 646, 575, 592, 6244, 2011, 2282, 519, 2627, 4769, 1405, 3100, 865, 32620, 15042, 780, 1607, 6602, 5734, 2673, 547, 1753, 543, 1500, 803, 811, 3222, 540, 875, 10562, 938, 3527, 616, 609, 2470, 267, 1256, 952, 621, 4667, 2484, 6569, 689, 938, 3232, 2729, 269, 1403, 972, 781, 4376, 594, 4312, 4121, 998, 713, 1995, 267, 621, 781, 519, 2956, 540, 4227, 267, 556, 6748, 267, 543, 9657, 15229, 269, 2991, 782, 267, 1169, 4062, 540, 5068, 649, 2057, 1210, 1522, 1175, 1118, 513, 3017, 910, 711, 1175, 585, 519, 23836, 812, 622, 525, 610, 4241, 30114, 639, 802, 267, 855, 849, 585, 938, 11537, 10130, 780, 16032, 2676, 314, 7312, 8745, 316, 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, 29205, 596, 1683, 1806, 540, 24549, 5387, 2831, 602, 616, 1336, 538, 12748, 8134, 888, 272, 269, 2494, 622, 525, 454, 273, 269, 570, 4669, 956, 454, 274, 269, 7256, 16933, 454, 275, 269, 7256, 2712, 577, 1231, 454, 276, 269, 631, 3326, 639, 802, 454, 277, 269, 595, 6412, 30702, 454, 278, 269, 10965, 5661, 454, 279, 269, 2368, 2249, 540, 3165, 971, 607, 15790, 267, 21266, 777, 807, 267, 543, 6371, 15790, 14325, 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, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 24442, 6807, 267, 5030, 1614, 1655, 2828, 910, 570, 20207, 519, 25725, 267, 22123, 519, 8293, 597, 7758, 267, 543, 16452, 519, 670, 8354, 32120, 269, 1358, 6068, 10918, 693, 9546, 27926, 1317, 540, 922, 1007, 543, 3078, 3059, 7341, 2439, 3080, 13566, 1554, 267, 1247, 4730, 2282, 519, 6288, 267, 789, 7691, 789, 941, 856, 540, 14770, 625, 269, 834, 4131, 781, 946, 9546, 27926, 781, 6732, 23108, 1356, 344, 17292, 1575, 10590, 1767, 570, 20207, 31113, 269, 1261, 6045, 875, 2653, 621, 729, 547, 1931, 14770, 625, 2228, 543, 1287, 4584, 873, 909, 693, 519, 4558, 1510, 1256, 19480, 3330, 2439, 257, 32452, 267, 602, 4992, 5863, 2437, 608, 13094, 22123, 269, 834, 3719, 1018, 952, 649, 666, 1405, 1265, 1018, 649, 991, 1851, 865, 1082, 3688, 8119, 4280, 16452, 267, 14126, 269, 570, 20207, 15260, 3293, 1864, 676, 6031, 602, 9546, 27926, 1185, 4824, 922, 3896, 3406, 4183, 267, 1818, 621, 1454, 12863, 547, 1265, 1808, 3688, 269, 2060, 713, 1702, 267, 789, 3533, 5116, 741, 1931, 543, 23362, 19179, 1243, 741, 2490, 547, 4584, 909, 741, 14770, 625, 780, 2691, 789, 8452, 693, 9546, 27926, 267, 789, 4718, 513, 2027, 3296, 1572, 1412, 15697, 23108, 1356, 344, 17292, 1575, 9538, 589, 7874, 8773, 30870, 873, 543, 19942, 936, 741, 840, 1790, 17977, 14770, 625, 269, 15526, 729, 4278, 2683, 609, 875, 15774, 519, 1184, 729, 2439, 2026, 789, 18188, 1394, 1753, 267, 22123, 8068, 1945, 15116, 269, 2701, 7948, 1405, 3247, 3206, 827, 875, 7561, 519, 1062, 5249, 269, 898, 3893, 1200, 8049, 1107, 1352, 4941, 547, 1451, 811, 827, 891, 9735, 7760, 269, 1924, 267, 1352, 4956, 547, 1382, 2417, 883, 519, 1158, 540, 2029, 1031, 3297, 971, 1949, 269, 9741, 1705, 1352, 917, 267, 713, 7279, 1131, 1291, 547, 6397, 8906, 2439, 26835, 22934, 585, 938, 1985, 7045, 1141, 22123, 796, 1723, 951, 519, 4241, 2257, 3297, 891, 10124, 267, 1152, 547, 8275, 602, 3006, 1919, 5749, 1405, 2141, 607, 3501, 607, 789, 3100, 269, 1809, 3314, 267, 1169, 4161, 6799, 721, 609, 3255, 547, 1332, 543, 1451, 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, 18658, 3059, 7341, 814, 9546, 27926, 17298, 547, 2087, 922, 2228, 6075, 1995, 888, 272, 269, 9546, 27926, 779, 6732, 23108, 1356, 344, 17292, 1575, 281, 9546, 27926, 814, 1500, 621, 4443, 585, 5561, 547, 6300, 2228, 585, 14770, 625, 609, 922, 2228, 17365, 4584, 1575, 602, 2636, 5561, 547, 1747, 9753, 2228, 543, 4584, 909, 741, 9753, 693, 11280, 4584, 1575, 6753, 269, 901, 11036, 814, 711, 1175, 4824, 519, 2228, 6075, 1995, 855, 814, 849, 1500, 621, 10375, 585, 5561, 547, 1205, 741, 14770, 625, 1510, 2348, 547, 6330, 998, 22125, 513, 529, 956, 780, 273, 269, 9546, 27926, 779, 20865, 19534, 9612, 281, 9546, 27926, 814, 1500, 1713, 2242, 547, 922, 3896, 3406, 4183, 602, 1631, 2488, 811, 4143, 543, 4977, 2164, 269, 634, 11036, 814, 1044, 513, 3014, 7302, 9734, 585, 5561, 3168, 585, 1808, 2472, 593, 519, 9546, 27926, 3896, 780, 274, 269, 9546, 27926, 779, 5131, 476, 273, 28233, 1744, 6235, 281, 9546, 27926, 3091, 1863, 1079, 6377, 11288, 593, 782, 14718, 9753, 1657, 1269, 3374, 269, 634, 11036, 814, 1500, 621, 4443, 543, 811, 10097, 585, 5561, 547, 6300, 2228, 693, 9546, 27926, 269, 8528, 275, 269, 9546, 27926, 685, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1299, 769, 13559, 630, 31304, 1070, 835, 540, 519, 1283, 476, 736, 4102, 595, 5183, 10909, 25422, 267, 596, 666, 2503, 519, 2200, 267, 1983, 267, 543, 1995, 540, 513, 1454, 3677, 6109, 5916, 609, 519, 10333, 543, 18906, 2483, 11321, 269, 476, 1789, 267, 476, 1001, 278, 476, 6349, 281, 3393, 6751, 29269, 3367, 338, 281, 476, 272, 267, 6021, 274, 454, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 11404, 16370, 814, 1044, 3957, 968, 5522, 11294, 636, 1975, 976, 528, 892, 540, 20219, 306, 4211, 2177, 781, 476, 736, 628, 4139, 13192, 5890, 334, 10378, 267, 799, 786, 1491, 1747, 593, 4873, 476, 277, 268, 279, 267, 476, 1001, 278, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 267, 543, 519, 476, 2641, 560, 4139, 13192, 5890, 334, 10378, 267, 799, 786, 1491, 1747, 5239, 476, 4029, 9539, 4912, 476, 273, 267, 476, 1001, 278, 267, 693, 519, 13244, 27262, 13482, 4741, 538, 13244, 27262, 267, 11404, 269, 11404, 16370, 2337, 5561, 8011, 538, 513, 2104, 1141, 1169, 1870, 1107, 689, 813, 28328, 547, 1648, 1107, 568, 1373, 17370, 9287, 676, 3301, 269, 3245, 4429, 11321, 269, 476, 1789, 267, 476, 1001, 278, 476, 6349, 281, 3393, 6751, 29269, 3367, 338, 281, 476, 273, 267, 276, 3374, 454, 4415, 2101, 2029, 3549, 543, 30596, 12517, 8508, 13192, 2994, 267, 1631, 568, 519, 3501, 942, 547, 7390, 7711, 30208, 2750, 17763, 1923, 7711, 28830, 2750, 17763, 267, 4873, 476, 277, 268, 279, 267, 476, 1001, 278, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 543, 5239, 476, 4029, 910, 5437, 476, 273, 267, 476, 1001, 278, 267, 13244, 27262, 13482, 4741, 267, 11404, 269, 6258, 1018, 568, 2469, 593, 267, 3565, 547, 519, 5717, 267, 543, 2327, 602, 707, 13055, 568, 593, 519, 1318, 2619, 547, 7913, 26306, 563, 11321, 269, 476, 1789, 267, 476, 1001, 278, 476, 6349, 281, 876, 6751, 29269, 3367, 338, 281, 476, 280, 267, 271, 4281, 454, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 700, 7112, 7010, 786, 8858, 693, 20219, 306, 4211, 2177, 781, 476, 736, 628, 4139, 13192, 5890, 334, 10378, 267, 799, 786, 1491, 1747, 593, 4873, 476, 277, 268, 279, 267, 476, 1001, 278, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 269, 5853, 539, 538, 476, 1001, 276, 267, 700, 7112, 7010, 20205, 606, 4359, 3642, 3070, 547, 3589, 543, 2061, 2042, 538, 519, 3059, 1870, 269, 700, 7112, 6763, 4805, 538, 519, 2872, 607, 606, 3642, 2079, 3760, 8506, 1100, 1991, 2979, 1702, 689, 12427, 267, 16107, 519, 4540, 5234, 547, 8011, 538, 519, 3059, 5736, 269, 2060, 13646, 538, 590, 2483, 11321, 269, 476, 1789, 267, 476, 1001, 278, 476, 4905, 281, 3393, 6751, 29269, 3367, 338, 281, 476, 272, 267, 4817, 274, 454, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 570, 5336, 9394, 786, 8858, 693, 20219, 306, 4211, 2177, 781, 476, 736, 628, 4139, 13192, 5890, 334, 10378, 267, 799, 786, 1491, 1747, 593, 4873, 476, 277, 268, 279, 267, 476, 1001, 278, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 269, 1306, 3013, 781, 1133, 21307, 8175, 267, 570, 5336, 9394, 2475, 267, 5549, 1421, 568, 28196, 1456, 519, 1259, 6800, 543, 4213, 4444, 12616, 2533, 998, 3056, 1587, 543, 3028, 5647, 269, 634, 7577, 781, 4359, 18487, 476, 275, 294, 700, 15288, 3060, 20205, 14222, 12616, 2833, 547, 476, 6858, 269, 275, 2929, 5561, 945, 616, 31464, 547, 14207, 593, 4429, 11321, 269, 476, 1789, 267, 476, 1001, 278, 476, 1321, 281, 876, 6751, 29269, 3367, 338, 281, 476, 273, 267, 278, 4817, 454, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 5606, 3757, 923, 786, 8858, 693, 20219, 306, 4211, 2177, 781, 476, 736, 628, 4139, 13192, 5890, 334, 10378, 267, 799, 786, 1491, 1747, 593, 4873, 476, 277, 268, 279, 267, 476, 1001, 278, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 269, 4595, 476, 1220, 271, 267, 5606, 3757, 923, 814, 2919, 590, 903, 22913, 2672, 924, 267, 799, 568, 2838, 585, 519, 7123, 543, 3608, 2359, 540, 23559, 5989, 269, 634, 23559, 2359, 3070, 2919, 543, 3177, 676, 5606, 3757, 923, 5170, 547, 1039, 4987, 547, 519, 23559, 5989, 998, 519, 594, 10157, 630, 14813, 571, 5004, 18888, 264, 1759, 593, 3862, 2483, 11321, 269, 476, 1789, 267, 476, 1001, 278, 476, 1556, 281, 1428, 7537, 29269, 3367, 338, 281, 476, 274, 267, 278, 4343, 454, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 3955, 719, 324, 267, 8227, 268, 28072, 540, 835, 540, 2342, 781, 4102, 5121, 543, 513, 2518, 6531, 2533, 3760, 267, 814, 1044, 3957, 968, 289, 1258, 2763, 1975, 976, 528, 892, 540, 20219, 306, 4211, 2177, 781, 476, 736, 628, 13192, 5890, 334, 267, 799, 786, 1491, 1747, 593, 4873, 476, 277, 268, 279, 267, 476, 1001, 278, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 267, 1715, 3840, 269, 3955, 719, 324, 568, 519, 8227, 268, 28072, 540, 835, 540, 2342, 781, 4102, 5121, 543, 513, 2518, 6531, 2533, 3760, 799, 13315, 476, 1321, 1239, 7740, 267, 476, 1691, 5691, 1239, 7740, 543, 476, 4029, 897, 6327, 7740, 267, 609, 4296, 547, 476, 4198, 1039, 2483, 11321, 269, 476, 1789, 267, 476, 1001, 278, 476, 1015, 281, 1789, 7537, 29269, 3367, 338, 281, 476, 273, 267, 18733, 454, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 13192, 2524, 267, 606, 593, 1790, 8145, 2478, 6531, 7384, 2754, 267, 814, 1044, 3957, 968, 289, 1258, 2763, 1975, 976, 528, 892, 540, 20219, 306, 4211, 2177, 781, 476, 736, 628, 4139, 13192, 5890, 334, 10378, 267, 799, 786, 1491, 1747, 593, 4873, 476, 277, 268, 279, 267, 476, 1001, 278, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 269, 13192, 2524, 20205, 513, 2347, 1857, 6531, 1995, 609, 9152, 762, 593, 1790, 8145, 2478, 1102, 2858, 23461, 547, 5420, 543, 1804, 16904, 269, 4706, 3301, 20452, 2029, 5065, 569, 4780, 2471, 3060, 267, 4859, 267, 12337, 267, 5691, 1436, 267, 543, 2359, 883, 513, 4429, 11321, 269, 476, 1789, 267, 476, 1001, 278, 476, 1015, 281, 1428, 7537, 29269, 3367, 338, 281, 476, 273, 267, 27898, 454, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 12676, 8648, 1923, 645, 313, 9012, 814, 1044, 3957, 968, 300, 4215, 1975, 976, 528, 892, 540, 20219, 306, 4211, 2177, 781, 476, 736, 628, 4139, 13192, 5890, 334, 267, 799, 786, 1491, 1747, 593, 4873, 476, 277, 1700, 279, 267, 476, 1001, 278, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 269, 645, 313, 9012, 20941, 568, 513, 1164, 24289, 2923, 2754, 602, 7472, 2930, 19014, 543, 1163, 657, 1431, 267, 543, 32245, 513, 12139, 267, 3377, 24393, 543, 7270, 538, 519, 3301, 1646, 267, 9523, 11592, 267, 5985, 1646, 543, 5010, 772, 16787, 6990, 563, 11321, 269, 476, 1789, 267, 476, 1001, 278, 476, 1015, 281, 876, 7537, 29269, 3367, 338, 281, 476, 275, 267, 277, 1704, 454, 19285, 1589, 602, 3025, 17767, 602, 585, 14164, 547, 2731, 8275, 922, 2407, 1761, 543, 1871, 602, 621, 568, 827, 2870, 8134, 543, 2344, 17541, 543, 602, 1100, 2582, 29449, 568, 2111, 547, 1489, 1018, 568, 2838, 2437, 6045, 10507, 1067, 531, 6767, 4210, 691, 345, 267, 966, 303, 267, 16373, 27617, 543, 13192, 693, 18238, 26856, 267, 538, 713, 20219, 306, 4211, 2177, 6745, 341, 5967, 693, 7711, 28830, 2750, 17763, 267, 4371, 4873, 476, 278, 268, 280, 267, 476, 1001, 277, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 563, 11321, 269, 476, 1789, 267, 476, 1001, 278, 476, 5400, 281, 876, 7537, 29269, 3367, 338, 281, 476, 275, 267, 278, 1626, 454, 3963, 798, 707, 5985, 14759, 991, 547, 4755, 2221, 286, 16353, 568, 519, 4640, 602, 13055, 7004, 7740, 593, 547, 5397, 6075, 6278, 269, 769, 1010, 2489, 8400, 693, 7711, 28830, 2750, 17763, 267, 23011, 28418, 267, 10615, 267, 16353, 8605, 1299, 15613, 1107, 23489, 16373, 13192, 267, 4988, 1883, 14164, 543, 5985, 3466, 602, 616, 16550, 5985, 7004, 267, 1883, 3334, 540, 513, 4396, 5985, 4640, 543, 8268, 875, 12478, 616, 3927, 6117, 5985, 1689, 2429, 519, 13055, 563, 11321, 269, 476, 1789, 267, 476, 1001, 278, 476, 6187, 281, 876, 7537, 29269, 3367, 338, 281, 476, 274, 267, 27543, 454, 7069, 2319, 24389, 593, 2679, 513, 1239, 10720, 585, 938, 6455, 543, 6725, 1239, 547, 1732, 1174, 6075, 15322, 269, 901, 2838, 2679, 513, 10316, 1239, 18180, 547, 1921, 938, 6531, 10911, 300, 609, 519, 1007, 670, 5964, 641, 4578, 8235, 269, 2290, 4161, 568, 602, 8668, 729, 711, 538, 513, 2990, 547, 1683, 1489, 2394, 649, 9863, 1871, 543, 6725, 1705, 711, 723, 519, 1995, 267, 865, 649, 24389, 593, 519, 3460, 6000, 1369, 519, 1587, 6725, 2319, 585, 938, 1899, 540, 1870, 1369, 18776, 269, 769, 1010, 8400, 693, 7711, 19136, 10574, 2750, 17763, 267, 5681, 2483, 11321, 269, 476, 1789, 267, 476, 1001, 278, 476, 6860, 281, 3393, 7537, 29269, 3367, 338, 281, 476, 274, 267, 30589, 454, 30789, 10605, 609, 7760, 538, 3301, 6765, 3157, 543, 1907, 532, 568, 3454, 532, 1256, 585, 519, 1034, 21295, 3906, 269, 8672, 2645, 267, 5867, 267, 1930, 2707, 543, 519, 2810, 10073, 540, 4357, 543, 1857, 6531, 2533, 3340, 2178, 4702, 22759, 910, 782, 538, 519, 3068, 540, 17354, 7569, 547, 946, 519, 2645, 540, 3903, 269, 1306, 3397, 850, 814, 12306, 538, 607, 513, 13416, 2259, 267, 1631, 8061, 302, 1186, 814, 7153, 607, 519, 1985, 5951, 547, 2087, 3301, 6765, 3432, 543, 3977, 269, 1677, 1118, 8061, 302, 1186, 960, 267, 3919, 2483, 11321, 269, 476, 1789, 267, 476, 1001, 278, 476, 6860, 281, 1428, 7537, 29269, 3367, 338, 281, 476, 273, 267, 31973 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 454, 1001, 276, 1107, 476, 3583, 586, 3464, 2094, 1439, 540, 13431, 273, 454, 1001, 278, 2443, 476, 4335, 586, 3464, 2094, 519, 26746, 282, 476, 6344, 586, 3464, 2094, 476, 272, 560, 27098, 626, 5556, 282, 476, 1911, 586, 3464, 630, 29602, 808, 889, 850, 324, 264, 2094, 2142, 518, 2701, 9366, 932, 1618, 267, 519, 645, 2788, 712, 16672, 267, 543, 519, 7001, 540, 13243, 676, 22918, 850, 10271, 282, 476, 3583, 29757, 1087, 1550, 6167, 3487, 819, 4643, 282, 476, 2004, 586, 3464, 808, 889, 850, 324, 2094, 7001, 540, 13243, 676, 18303, 7642, 282, 476, 1789, 586, 3464, 2094, 4098, 540, 476, 272, 560, 24752, 2271, 604, 3385, 12462, 12577, 519, 586, 5803, 282, 7504, 24373, 1055, 519, 31115, 892, 1916, 1001, 279, 1107, 476, 1911, 586, 3464, 689, 1439, 540, 13431, 272, 282, 476, 3583, 586, 3464, 540, 5840, 779, 556, 28004, 4182, 15581, 454, 1708, 279, 1107, 476, 3199, 586, 3464, 2094, 5840, 779, 556, 10140, 28344, 618, 607, 22657, 585, 519, 6014, 1004, 454, 736, 11631, 1107, 519, 32219, 17729, 540, 938, 1390, 2696, 543, 14205, 1640, 267, 4906, 2441, 2336, 1607, 2376, 8385, 7902, 593, 20837, 338, 538, 519, 3026, 613, 341, 267, 2904, 476, 280, 267, 476, 1001, 275, 269, 0, 288, 1268, 22939, 513, 3791, 540, 1010, 1272, 538, 513, 5326, 269, 634, 2407, 1145, 540, 3207, 11887, 519, 2949, 1377, 540, 1072, 543, 2298, 540, 1272, 267, 6027, 538, 2474, 540, 1514, 267, 2790, 267, 3929, 543, 2168, 1134, 5630, 269, 12619, 4713, 6923, 1291, 547, 513, 1713, 6175, 538, 519, 2298, 540, 1272, 269, 4634, 811, 3648, 267, 789, 1860, 519, 1072, 540, 513, 7210, 1268, 267, 1831, 519, 2014, 540, 14603, 4713, 563, 6701, 649, 1419, 5461, 538, 519, 3461, 779, 3207, 1533, 286, 6496, 519, 3461, 1419, 3346, 721, 609, 713, 1966, 286, 4340, 547, 14959, 267, 827, 3368, 540, 519, 1158, 779, 2551, 568, 693, 1981, 585, 3207, 4713, 563, 13434, 718, 930, 540, 519, 968, 338, 22658, 892, 4539, 540, 3207, 4713, 281, 513, 454, 17840, 538, 2949, 1072, 267, 513, 454, 1372, 920, 848, 538, 6375, 1670, 27921, 2676, 11365, 543, 3929, 4713, 267, 26043, 267, 513, 454, 1372, 920, 848, 538, 4074, 7607, 267, 606, 454, 27463, 848, 538, 7063, 630, 736, 260, 540, 10256, 8593, 18069, 693, 2547, 2899, 1247, 6117, 1070, 606, 454, 27463, 848, 538, 519, 4908, 543, 24395, 566, 540, 30717, 3676, 2676, 334, 968, 15258, 13519, 5608, 968, 637, 21732, 892, 543, 824, 15166, 1886, 1127, 1282, 3207, 563, 28036, 4713, 616, 2783, 958, 9286, 883, 5409, 268, 543, 20026, 269, 14523, 619, 17410, 1107, 513, 18670, 540, 12687, 6888, 543, 20026, 630, 514, 14814, 543, 25619, 6739, 6697, 1107, 20026, 264, 1107, 513, 18670, 540, 3207, 3294, 269, 1358, 616, 5702, 1644, 267, 2094, 621, 568, 12687, 6888, 4713, 602, 616, 1419, 519, 2014, 540, 3207, 4713, 267, 1175, 607, 17071, 3207, 849, 11887, 17071, 12687, 6888, 563, 1103, 5375, 2477, 972, 568, 513, 2919, 1474, 333, 1670, 3028, 269, 1703, 616, 811, 982, 476, 4335, 1474, 333, 1670, 7740, 538, 519, 7330, 282, 7366, 540, 873, 616, 538, 5125, 267, 5333, 267, 543, 824, 2477, 269, 634, 1101, 7740, 7902, 538, 519, 6739, 18966, 269, 634, 1888, 540, 3207, 4713, 568, 711, 1152, 2564, 267, 855, 849, 2804, 269, 634, 5993, 3790, 2404, 609, 713, 1966, 538, 519, 2136, 2276, 4805, 9765, 1269, 476, 1911, 5479, 563, 763, 1888, 540, 519, 2376, 568, 20026, 267, 27025, 8351, 609, 3781, 3207, 267, 689, 930, 2085, 621, 568, 1134, 1634, 547, 513, 1713, 851, 540, 519, 2937, 2551, 269, 634, 2489, 19995, 1034, 1419, 814, 547, 2743, 267, 952, 1152, 646, 6487, 875, 547, 7157, 4612, 519, 3461, 779, 20286, 267, 12077, 609, 20026, 563, 1432, 568, 513, 5326, 888, 28036, 568, 513, 12214, 1533, 602, 4386, 5097, 538, 519, 4158, 267, 6353, 676, 22629, 540, 3742, 5872, 609, 519, 1604, 269, 3117, 4109, 2790, 2534, 1281, 711, 3247, 4625, 269, 4934, 1189, 569, 267, 3207, 568, 28955, 676, 513, 1978, 32616, 673, 2990, 540, 519, 1560, 267, 8766, 5179, 2534, 267, 513, 6175, 538, 6547, 547, 15128, 267, 10941, 2225, 543, 8984, 28023, 2242, 538, 2634, 3252, 563, 28036, 568, 513, 28023, 1184, 269, 3962, 4783, 5161, 540, 1079, 11775, 1107, 519, 3500, 5123, 543, 519, 3728, 630, 1706, 611, 2135, 673, 264, 3207, 5123, 269, 634, 3500, 3207, 5123, 568, 715, 3918, 300, 3207, 630, 23719, 4028, 3750, 4252, 5322, 264, 543, 519, 31087, 3207, 5123, 568, 31087, 3207, 630, 5976, 3728, 3750, 4252, 5322, 1040, 769, 519, 5123, 540, 715, 3918, 300, 1606, 2748, 267, 3500, 2534, 568, 5462, 593, 519, 661, 9680, 267, 3543, 894, 2534, 7449, 1938, 267, 13942, 25815, 1524, 267, 1973, 2604, 11081, 269, 898, 568, 5156, 602, 713, 568, 513, 5123, 540, 1648, 6051, 269, 769, 519, 31087, 1606, 2748, 5123, 267, 3728, 24754, 2534, 568, 6592, 538, 519, 2634, 267, 3728, 5322, 540, 519, 3750, 27750, 2049, 267, 3543, 894, 543, 25012, 968, 28323, 892, 2049, 267, 1973, 2604, 267, 7929, 2557, 267, 2295, 2557, 11385, 622, 267, 543, 9909, 616, 2938, 693, 713, 942, 269, 634, 715, 3918, 300, 3207, 5123, 26328, 476, 4037, 268, 3199, 260, 543, 31087, 3207, 1107, 476, 1839, 268, 736, 260, 540, 519, 8653, 540, 835, 4783, 267, 799, 3622, 16569, 827, 476, 2568, 268, 3445, 3764, 269, 1280, 835, 5326, 267, 689, 476, 274, 547, 476, 277, 9979, 616, 4767, 269, 634, 2063, 9979, 538, 513, 5326, 666, 581, 29169, 676, 1360, 2110, 14501, 540, 12687, 6888, 269, 4438, 3207, 267, 2834, 2242, 538, 519, 2634, 2049, 2073, 10483, 676, 7222, 6547, 540, 8238, 5669, 543, 1208, 7394, 7939, 269, 1358, 616, 2404, 609, 519, 5626, 4393, 540, 1995, 267, 32278, 540, 519, 28400, 15041, 10899, 12106, 267, 15222, 1436, 540, 1949, 543, 3157, 267, 11808, 540, 1648, 1761, 269, 2353, 713, 568, 6322, 693, 4180, 2500, 12687, 6888, 563, 763, 991, 585, 3207, 538, 1114, 2043, 9775, 689, 476, 275, 268, 277, 547, 476, 279, 268, 1015, 3108, 610, 811, 269, 898, 568, 4277, 602, 621, 568, 3964, 538, 2038, 18273, 543, 1287, 2242, 2370, 2429, 1272, 269, 4284, 8344, 21876, 540, 3207, 1107, 2085, 267, 3232, 1974, 540, 1554, 543, 3781, 543, 922, 18063, 267, 2520, 558, 8568, 2360, 267, 2168, 543, 3929, 2566, 267, 3092, 269, 634, 3601, 540, 715, 3918, 300, 3207, 3313, 519, 3178, 540, 3207, 563, 27246, 543, 7355, 585, 20026, 454, 11900, 17410, 568, 8650, 267, 26740, 267, 543, 5312, 269, 26590, 630, 10520, 1304, 264, 568, 2404, 609, 8650, 21465, 2188, 267, 971, 607, 2790, 8194, 267, 2168, 11605, 269, 2060, 621, 267, 3207, 4713, 2063, 689, 1079, 17334, 547, 1896, 4374, 269, 2060, 13350, 20026, 267, 3207, 568, 22841, 538, 1978, 1272, 610, 12119, 9979, 269, 18127, 568, 1767, 547, 581, 950, 3207, 4713, 2063, 811, 982, 513, 3923, 563, 763, 1034, 1455, 3123, 540, 20026, 912, 24825, 725, 540, 9882, 540, 3207, 543, 12687, 6888, 630, 17218, 2469, 547, 5127, 267, 2038, 31135, 267, 3668, 540, 3207, 267, 12150, 3207, 3270, 267, 4057, 6484, 267, 3668, 540, 3635, 13211, 577, 5190, 538, 2825, 2188, 630, 4219, 540, 942, 7997, 267, 6521, 960, 609, 19717, 540, 519, 28023, 11733, 540, 3207, 543, 12687, 6888, 13211, 11365, 10108, 540, 5778, 6776, 543, 2618, 5328, 2157, 267, 519, 454, 2224, 540, 5778, 339, 22241, 14278, 1670, 5061, 610, 6878, 602, 1860, 519, 3844, 8401, 1062, 630, 322, 1643, 2516, 540, 5061, 1107, 12498, 1532, 6674, 619, 267, 31520, 267, 3092, 1421, 4568, 267, 15522, 267, 7050, 946, 540, 14933, 543, 824, 2618, 739, 574, 592, 1218, 538, 519, 24817, 13211, 16955, 3441, 547, 2634, 3889, 267, 3238, 538, 519, 7939, 540, 519, 3207, 2914, 820, 4783, 630, 339, 636, 832, 267, 12982, 3676, 267, 3092, 269, 13211, 338, 11703, 543, 5778, 754, 18355, 3676, 630, 6621, 658, 13119, 267, 5312, 2295, 5821, 267, 13487, 10447, 267, 30126, 17422, 2068, 2676, 30104, 628, 21633, 267, 10894, 6794, 2473, 267, 6797, 5821, 267, 17669, 1202, 340, 11797, 267, 23822, 618, 540, 519, 17150, 14189, 267, 3987, 22577, 267, 4745, 3676, 267, 12970, 267, 12884, 525, 23569, 17406, 2068, 267, 3092, 269, 13211, 27146, 776, 1024, 340, 514, 4713, 540, 519, 15982, 2634, 6127, 540, 3207, 7939, 543, 922, 7814, 673, 2470, 630, 1231, 17410, 540, 6689, 543, 2025, 2085, 267, 562, 541, 1723, 548, 10043, 1916, 28536, 2670, 540, 20026, 568, 1759, 593, 11042, 543, 513, 4791, 4605, 609, 25102, 668, 545, 543, 1696, 8344, 8446, 269, 769, 2027, 1474, 333, 1670, 20682, 666, 2932, 30713, 558, 333, 2762, 269, 634, 4791, 4191, 543, 14726, 540, 20026, 593, 799, 519, 5868, 568, 1759, 616, 607, 5205, 912, 18528, 22187, 9991, 18069, 2676, 338, 2748, 19103, 630, 21865, 538, 2550, 609, 27555, 13119, 13211, 18474, 1588, 540, 2589, 563, 290, 761, 4997, 585, 20026, 540, 606, 22803, 2470, 912, 1260, 680, 11989, 540, 3207, 19717, 267, 3207, 5826, 610, 4057, 2298, 2676, 338, 2748, 18063, 2049, 585, 693, 2547, 513, 3923, 267, 693, 2547, 1614, 2053, 513, 3018, 2676, 338, 2748, 4713, 2014, 3982, 16148, 7092, 610, 15641, 324, 1514, 543, 3318, 8647, 2676, 935, 1288, 3112, 581, 6045, 676, 1022, 14715, 610, 30717, 2068, 610, 676, 2921, 28400, 5562, 6878, 543, 5061, 563, 2252, 519, 5868, 568, 2953, 267, 519, 3461, 609, 20026, 20781, 1134, 547, 9354, 3800, 269, 634, 3119, 4305, 568, 547, 9004, 610, 14020, 519, 2014, 540, 20026, 267, 1101, 267, 952, 2009, 267, 1510, 519, 946, 540, 14984, 12008, 21447, 563, 14197, 3741, 540, 2126, 912, 3430, 1549, 547, 9882, 540, 3207, 543, 12687, 6888, 2676, 338, 1828, 540, 598, 1260, 26938, 2790, 2042, 2676, 339, 13015, 540, 519, 4524, 4929, 20026, 2676, 2224, 540, 12008, 21447, 585, 2110, 3856, 2126, 543, 585, 5312, 20026, 563, 289, 539, 5503, 1058, 581, 693, 2547, 476, 276, 3108, 269, 1403, 621, 568, 2352, 547, 2887, 18069, 267, 621, 568, 5227, 602, 596, 979, 547, 5127, 2663, 269, 25947, 3207, 568, 19658, 676, 2618, 6139, 8427, 3800, 267, 799, 267, 2705, 267, 616, 2404, 609, 1713, 942, 3790, 543, 2154, 519, 7589, 540, 513, 1134, 2389, 11712, 11285, 269, 1452, 2238, 616, 5645, 856, 1996, 519, 4282, 540, 2596, 3797, 6322, 693, 8156, 5817, 7092, 563, 2467, 616, 1114, 3681, 585, 2596, 3797, 538, 17867, 267, 5102, 3000, 1670, 267, 6315, 1670, 267, 22854, 1670, 267, 3092, 269, 519, 16758, 269, 769, 17867, 4713, 267, 31520, 616, 1419, 1031, 2676, 6518, 267, 2705, 267, 666, 2333, 20026, 269, 769, 513, 17422, 16758, 585, 5312, 30126, 17422, 3676, 267, 8561, 568, 5116, 593, 19357, 617, 559, 2209, 609, 4550, 13611, 2360, 269, 769, 6315, 1670, 2259, 538, 2295, 5821, 267, 1101, 11060, 5061, 616, 1019, 675, 9455, 267, 12498, 1532, 6674, 619, 267, 543, 2587, 3999, 839, 514, 8410, 31844, 11747, 20127, 269, 769, 22854, 1108, 267, 8561, 568, 5116, 593, 1875, 268, 3122, 18042, 4550, 13611, 5061, 267, 1851, 799, 16496, 7814, 334, 2135, 4723, 848, 476, 273, 3625, 619, 723, 5063, 1044, 2016, 10862, 269, 1879, 20026, 568, 1759, 593, 3207, 19103, 267, 2597, 2530, 543, 4568, 30671, 949, 581, 6225, 269, 15329, 725, 540, 27266, 18819, 2303, 12225, 6139, 8427, 3800, 269, 898, 949, 581, 3730, 547, 1265, 519, 3461, 538, 6505, 1769, 538, 519, 6640, 269, 2060, 5179, 4713, 267, 3834, 2254, 545, 5061, 540, 513, 13805, 1198, 666, 2285, 606, 1198, 563, 291, 2607, 338, 609, 12008, 21447, 454, 2026, 519, 1292, 2126, 585, 13350, 20026, 2676, 553, 519, 1292, 2126, 585, 5312, 20026, 2676, 553, 606, 25581, 2126, 585, 20026, 1813, 547, 1776, 2068, 269, 7600, 518, 5362, 540, 3903, 454, 6312, 1801, 945, 1590, 581, 538, 1434, 6198, 2783, 1282, 519, 24817, 616, 11311, 5061, 609, 513, 3368, 3734, 540, 1447, 982, 476, 276, 3108, 267, 543, 454, 6312, 1801, 609, 2799, 4160, 1282, 519, 24817, 949, 581, 11311, 1279, 19840, 532, 5061, 563, 305, 2737, 540, 13393, 454, 28275, 609, 513, 5934, 9570, 2676, 572, 3005, 540, 606, 2500, 9570, 267, 9570, 454, 516, 9134, 538, 11361, 1004, 2676, 323, 846, 5786, 538, 2013, 540, 14524, 540, 519, 8219, 602, 608, 4740, 519, 3075, 630, 327, 2788, 9570, 267, 9570, 5786, 267, 2333, 538, 519, 8884, 1063, 13066, 1070, 519, 454, 323, 4851, 540, 2126 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 1070, 524, 322, 16282, 343, 341, 13839, 267, 476, 4029, 269, 1626, 269, 32243, 540, 674, 269, 670, 1218, 267, 5760, 269, 476, 4510, 1299, 476, 3393, 4432, 714, 269, 1704, 269, 654, 269, 1299, 700, 269, 769, 336, 269, 533, 6230, 269, 1535, 331, 12858, 267, 476, 13040, 269, 1240, 269, 32243, 540, 674, 269, 670, 1218, 267, 5101, 269, 476, 2641, 932, 553, 269, 594, 282, 23664, 269, 476, 2918, 2983, 334, 4083, 269, 866, 269, 25592, 573, 269, 6555, 269, 3213, 269, 2558, 514, 269, 476, 2537, 2983, 334, 269, 8633, 269, 736, 269, 25592, 573, 269, 5760, 269, 476, 4029, 2983, 334, 269, 8633, 269, 2641, 269, 31102, 538, 5087, 3774, 540, 4960, 331, 269, 12942, 267, 5246, 527, 269, 14640, 336, 269, 1772, 548, 540, 654, 697, 267, 1775, 267, 726, 269, 642, 13839, 269, 2420, 269, 590, 4660, 267, 693, 513, 5870, 540, 3703, 16329, 1670, 5980, 693, 12844, 577, 3420, 538, 476, 6977, 276, 267, 547, 723, 1044, 513, 6041, 540, 519, 7831, 25960, 618, 269, 2537, 269, 661, 326, 30639, 9049, 269, 476, 10711, 272, 267, 1165, 269, 476, 275, 267, 1299, 322, 5919, 32243, 540, 674, 269, 670, 1218, 267, 5101, 269, 476, 275, 3798, 342, 269, 8633, 282, 26960, 269, 769, 336, 269, 533, 6230, 269, 476, 866, 3798, 342, 269, 8633, 630, 272, 560, 562, 657, 13776, 1100, 269, 476, 7367, 282, 2836, 269, 4793, 269, 476, 15389, 278, 1700, 10037, 267, 533, 269, 476, 30589, 282, 476, 15946, 272, 1700, 276, 267, 533, 269, 476, 29889, 282, 2382, 269, 645, 802, 269, 630, 303, 10611, 20166, 4700, 282, 6519, 267, 30657, 8291, 518, 540, 670, 1218, 267, 476, 6977, 280, 269, 2190, 269, 1849, 1458, 700, 1235, 269, 587, 373, 3105, 454, 8512, 540, 519, 25315, 515, 10934, 476, 7277, 274, 630, 534, 2254, 730, 609, 2244, 5411, 4408, 994, 23087, 540, 519, 2244, 14935, 476, 7277, 274, 454, 4002, 519, 476, 7277, 274, 12844, 577, 3420, 25315, 515, 10934, 519, 13198, 764, 558, 2041, 595, 2714, 720, 3959, 729, 3254, 607, 4729, 1297, 476, 6858, 267, 16030, 476, 274, 14143, 476, 2918, 829, 2583, 630, 12671, 476, 272, 269, 276, 25614, 1040, 901, 4729, 4667, 547, 1331, 519, 3959, 547, 519, 7178, 799, 729, 547, 1831, 1634, 607, 14480, 333, 846, 595, 2714, 720, 269, 589, 1007, 2679, 568, 3254, 1934, 1141, 519, 3484, 5656, 1185, 5892, 11542, 269, 14480, 333, 846, 595, 2714, 720, 568, 3294, 513, 1507, 32119, 15022, 2946, 543, 621, 1131, 2408, 602, 621, 729, 3710, 1063, 476, 8146, 274, 543, 476, 7277, 274, 607, 606, 1840, 547, 519, 2048, 299, 25458, 558, 2041, 595, 2714, 720, 262, 10040, 269, 6271, 1007, 2679, 3254, 593, 519, 5707, 515, 4786, 729, 519, 561, 17690, 538, 519, 5087, 7178, 7944, 540, 519, 5449, 2361, 547, 519, 7178, 540, 13198, 764, 558, 2041, 595, 2714, 720, 269, 901, 568, 711, 3254, 593, 519, 476, 8146, 274, 1544, 855, 568, 7396, 538, 519, 476, 7277, 272, 14829, 563, 1607, 568, 519, 1271, 4062, 540, 9086, 7175, 519, 1646, 540, 12844, 577, 3420, 476, 7277, 272, 454, 2419, 1258, 1670, 23959, 540, 519, 17721, 543, 9608, 20450, 24121, 8002, 338, 540, 519, 3474, 2993, 14613, 540, 2136, 8003, 454, 8512, 476, 1789, 630, 7277, 272, 268, 7277, 278, 994, 7277, 274, 630, 277, 1299, 476, 278, 264, 7861, 28593, 290, 2767, 910, 1234, 3164, 526, 6276, 6519, 781, 543, 1866, 262, 1609, 919, 281, 30260, 1079, 682, 1162, 543, 7175, 519, 21704, 540, 682, 1162, 543, 519, 9886, 540, 1007, 682, 1162, 540, 1609, 919, 538, 12844, 577, 3420, 630, 3674, 548, 540, 654, 697, 264, 630, 295, 10102, 10921, 1916, 8512, 540, 519, 9998, 18103, 333, 766, 11752, 10934, 540, 12844, 577, 3420, 476, 5908, 273, 454, 763, 1739, 2272, 568, 689, 968, 513, 2110, 2272, 540, 519, 1272, 540, 22784, 333, 15605, 595, 1815, 559, 966, 2795, 534, 27508, 6953, 523, 787, 267, 2854, 538, 476, 3192, 274, 267, 18838, 676, 8402, 27508, 6953, 523, 787, 3034, 3891, 1185, 1896, 14552, 543, 19946, 855, 917, 4986, 540, 873, 4849, 602, 1010, 9632, 7015, 267, 3627, 16176, 6577, 8361, 267, 4535, 538, 476, 9264, 275, 267, 5030, 693, 5101, 667, 2940, 267, 12844, 577, 3420, 267, 1772, 548, 540, 654, 697, 267, 729, 513, 4012, 626, 3433, 585, 519, 6019, 540, 3162, 600, 17980, 267, 513, 3493, 14280, 31924, 585, 519, 1772, 548, 540, 654, 697, 543, 835, 942, 513, 16588, 540, 12057, 585, 590, 9950, 269, 19903, 1662, 790, 269, 1261, 9310, 7788, 773, 267, 8250, 540, 7338, 8381, 540, 3026, 525, 5069, 543, 21674, 781, 23203, 17625, 267, 3213, 269, 20736, 5069, 269, 589, 11078, 2968, 11427, 654, 5138, 269, 1261, 1185, 1776, 7015, 945, 5555, 2968, 513, 4936, 7826, 17308, 543, 585, 7247, 646, 3710, 513, 5939, 538, 570, 592, 569, 267, 3213, 269, 8895, 3118, 269, 901, 7015, 1590, 723, 1044, 1454, 4587, 607, 646, 729, 513, 1390, 2951, 2401, 543, 22064, 18048, 538, 1216, 7990, 269, 2368, 540, 1010, 10367, 540, 519, 12877, 16867, 525, 543, 11992, 616, 18584, 538, 519, 476, 8146, 271, 781, 269, 594, 993, 4098, 547, 4898, 952, 519, 18048, 543, 519, 17308, 941, 835, 543, 519, 1482, 269, 634, 18048, 729, 2141, 5219, 547, 607, 1412, 15124, 268, 4462, 2193, 262, 855, 949, 267, 540, 1576, 267, 723, 1044, 1250, 4651, 781, 1390, 10595, 2193, 543, 1250, 22516, 781, 11515, 269, 3733, 22516, 729, 4535, 538, 476, 9264, 277, 543, 1131, 15991, 723, 1185, 513, 7015, 865, 1454, 4587, 563, 273, 269, 630, 1280, 8100, 1294, 654, 2393, 2023, 543, 1744, 528, 6202, 269, 5261, 25455, 2006, 540, 12844, 577, 3420, 1412, 325, 1069, 528, 10086, 945, 729, 8066, 12844, 577, 3420, 538, 476, 16960, 272, 267, 729, 5310, 513, 8350, 5408, 896, 519, 28988, 956, 630, 8722, 644, 269, 589, 1749, 267, 13797, 267, 476, 18458, 1040, 476, 278, 264, 0, 31572, 12128, 4635, 513, 7233, 9122, 13979, 454, 15430, 5034, 609, 519, 17164, 4115, 12594, 10791, 2045, 6657, 6828, 454, 30048, 568, 513, 5312, 267, 11636, 4576, 6353, 676, 15176, 3170, 543, 19346, 10307, 269, 14856, 513, 2898, 1426, 2030, 2861, 2732, 814, 1082, 1072, 2640, 799, 1331, 1761, 3310, 593, 29944, 1852, 267, 5786, 538, 9025, 2068, 1981, 267, 6454, 538, 9667, 1072, 543, 5786, 538, 6553, 269, 4658, 609, 3987, 723, 1100, 1852, 936, 1082, 3344, 540, 519, 2068, 269, 1717, 267, 789, 723, 1463, 1852, 936, 1018, 3536, 789, 3442, 547, 3548, 269, 3194, 2944, 676, 29484, 4446, 333, 731, 631, 6185, 269, 543, 6424, 23514, 9469, 631, 6185, 269, 1448, 547, 519, 2963, 540, 519, 28252, 540, 20757, 11326, 538, 519, 6604, 267, 2359, 543, 10941, 532, 3987, 799, 814, 17275, 606, 1719, 538, 1210, 1426, 547, 4383, 543, 1521, 3987, 22577, 563, 1607, 1357, 14373, 786, 1445, 593, 519, 1072, 2640, 540, 2898, 1426, 2030, 1759, 4189, 547, 4383, 3987, 543, 2972, 1434, 1072, 563, 15430, 5034, 593, 281, 13638, 267, 2904, 476, 1691, 267, 476, 1001, 280, 267, 476, 273, 281, 876, 10975, 268, 274, 281, 876, 10975, 29643, 454, 294, 7534, 4793, 601, 9049, 28251, 301, 7131, 292, 31298, 14160, 307, 454, 294, 7534, 4793, 601, 9049, 28251, 301, 7131, 292, 14160, 307, 31298, 301, 568, 513, 10805, 2732, 23790, 267, 14468, 3987, 19829, 267, 543, 14468, 19845, 4338, 630, 299, 604, 5598, 14856, 543, 13437, 264, 13309, 21751, 538, 3987, 267, 2021, 779, 1072, 267, 2295, 2068, 267, 20757, 6484, 267, 2635, 10172, 267, 31264, 267, 595, 27112, 2068, 267, 16063, 2042, 609, 1426, 11959, 267, 1426, 22740, 8481, 543, 1426, 703, 11217, 1734, 269, 717, 7534, 4891, 609, 2043, 543, 3906, 602, 991, 519, 2257, 540, 6484, 12261, 883, 513, 2635, 20757, 6197, 269, 717, 7534, 568, 606, 2278, 267, 10584, 543, 24468, 563, 15463, 20757, 3434, 1504, 267, 2349, 2056, 3163, 609, 1975, 1182, 281, 570, 7360, 31204, 1299, 12594, 9669, 585, 13245, 12389, 267, 568, 519, 7583, 332, 1588, 540, 1200, 2757, 4095, 4282, 267, 519, 9867, 3536, 1352, 8057, 909, 4189, 267, 543, 1200, 3573, 2866, 538, 2413, 9422, 2257, 269, 2060, 1699, 1382, 8220, 519, 1198, 540, 1018, 649, 3548, 593, 1072, 267, 1426, 7041, 568, 519, 835, 1747, 1141, 1352, 666, 2992, 3232, 593, 602, 4909, 2078, 269, 29955, 1004, 3049, 741, 1072, 568, 1200, 3804, 538, 1272, 563, 294, 7534, 814, 6026, 6484, 998, 20757, 5986, 538, 513, 3099, 540, 28503, 267, 1519, 8613, 267, 543, 8843, 1200, 3573, 4282, 538, 2413, 9422, 2257, 998, 513, 4999, 540, 2069, 543, 2259, 563, 290, 1042, 1080, 281, 476, 272, 9460, 308, 267, 5426, 476, 272, 9460, 308, 32011, 281, 476, 20385, 271, 12130, 1258, 19153, 630, 10903, 7530, 543, 6886, 1070, 476, 30329, 271, 17164, 31791, 267, 476, 276, 4391, 271, 13379, 5004, 267, 25667, 267, 476, 31982, 271, 12128, 631, 749, 7978, 630, 323, 1047, 848, 994, 5475, 11264, 713, 1357, 14373, 267, 5171, 786, 581, 2111, 547, 912, 268, 28150, 513, 4514, 1620, 540, 519, 25050, 19153, 538, 513, 19940, 5253, 7233, 9122, 4189, 2511, 543, 875, 789, 948, 609, 5883, 519, 1072, 540, 1004, 609, 3987, 563, 268, 3557, 476, 274, 2640, 540, 513, 2898, 3536, 2030, 2861, 4189, 2511, 563, 268, 3557, 930, 4052, 4388, 602, 596, 666, 4001, 707, 2550, 543, 7218, 593, 875, 547, 1331, 2030, 2861, 1426, 883, 741, 3232, 2729, 563, 16966, 5680, 14373, 3371, 454, 8253, 513, 667, 4753, 667, 22333, 4759, 286, 634, 5092, 538, 667, 4753, 667, 22333, 15376, 786, 2628, 585, 3294, 952, 596, 7390, 1175, 835, 1357, 14373, 256, 2060, 667, 4753, 667, 22333, 15376, 596, 4309, 9625, 1428, 9460, 5825, 2429, 519, 15376, 1032, 630, 5976, 5680, 21577, 543, 998, 968, 4002, 519, 28981, 22750, 14615, 5111, 1269, 273, 270, 9460, 308, 2336, 3963, 711, 6443, 2221, 543, 3648, 2569, 519, 1942, 540, 9460, 5825, 1510, 519, 13258, 540, 10707, 286, 0, 19425, 2801, 1670, 6580, 536, 335, 454, 25284, 7392, 281, 12197, 1153, 681, 5183, 26133, 281, 7224, 10500, 559, 2747, 281, 8750, 24265, 2382, 527, 19513, 632, 15766, 24265, 586, 5345, 565, 18676, 11252, 9966, 3570, 267, 21086, 5441, 267, 4659, 585, 12197, 3194, 5741, 10615, 281, 3220, 8160, 541, 1723, 21293, 12672, 531, 717, 727, 345, 5741, 13517, 281, 16170, 3405, 568, 513, 4190, 4884, 538, 519, 11662, 540, 24778, 20899, 267, 538, 7013, 8050, 269, 2080, 267, 538, 519, 5395, 30959, 21731, 7823, 2039, 267, 2818, 540, 519, 8750, 24265, 2382, 527, 19513, 632, 15766, 24265, 586, 5345, 565, 18676, 11252, 9966, 3570, 630, 293, 7709, 292, 295, 264, 723, 4857, 15456, 4609, 602, 1448, 547, 1480, 4527, 6580, 689, 476, 1911, 267, 1822, 547, 476, 275, 267, 1822, 6969, 10558, 630, 21990, 1040, 1103, 476, 1001, 278, 267, 513, 13946, 1572, 595, 826, 9366, 1642, 21586, 19923, 611, 4592, 267, 729, 4857, 543, 1336, 547, 8831, 936, 476, 6110, 7397, 20136, 1505, 2882, 3327, 6580, 543, 5687, 565, 29061, 12412, 7868, 6207, 6580, 1505, 1101, 7902, 538, 476, 5002, 278, 609, 7083, 681, 9801, 5112, 543, 7905, 12157, 339, 6229, 693, 23171, 2160, 267, 855, 7012, 1406, 7608, 2394, 519, 476, 4198, 271, 338, 563, 321, 264, 18104, 1452, 2409, 616, 1759, 593, 12719, 519, 4266, 540, 818, 974, 30440, 538, 513, 811, 5730, 1259, 1210, 1114, 10305, 540, 2326, 10611, 7112, 543, 8274, 28081, 906, 281, 6452, 7951, 725, 616, 538, 3838, 11623, 630, 275, 268, 277, 15135, 264, 4092, 538, 27391, 531, 667, 768, 7480, 630, 4910, 16582, 25556, 27391, 531, 264, 538, 519, 4884, 540, 16170, 3405, 269, 634, 1455, 2127, 616, 19345, 2899, 513, 3018, 676, 3318, 2973, 619, 11065, 516, 752, 9724, 267, 12899, 543, 12129, 786, 581, 3177, 476, 278, 2395, 513, 3018, 693, 519, 15335, 269, 1703, 786, 581, 2027, 10346, 585, 1346, 945, 723, 8192, 9993, 971, 607, 3987, 267, 11959, 610, 15347, 22166, 543, 3543, 12579, 7868, 24236, 540, 8000, 9914, 268, 2412, 267, 799, 814, 513, 3368, 3734, 540, 476, 272, 269, 1839, 9291, 542, 1296, 267, 666, 581, 1031, 585, 971, 1279, 7403, 269, 5194, 6207, 6580, 1505, 568, 5687, 565, 29061, 12412, 267, 799, 7389, 519, 2063, 942, 606, 6221, 729, 12699, 269, 0, 763, 2407, 16713, 595, 28240, 5106, 267, 1519, 593, 21935, 524, 28240, 4393, 267, 786, 1246, 676, 476, 1708, 271, 269, 634, 3135 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5549, 28271, 269, 2696, 7962, 625, 13924, 1345, 630, 300, 30639, 2141, 1031, 519, 24940, 585, 2696, 264, 883, 20520, 543, 835, 568, 14376, 547, 8900, 13951, 883, 2696, 269, 2353, 7606, 616, 14376, 547, 1831, 1651, 7568, 725, 540, 2696, 676, 11419, 269, 4906, 2441, 568, 519, 18840, 6943, 30867, 14375, 7450, 3118, 547, 13140, 593, 3618, 602, 568, 2139, 547, 3025, 543, 711, 1175, 968, 13731, 2103, 6100, 634, 1007, 8682, 538, 2441, 568, 1033, 3737, 538, 606, 1930, 13463, 14975, 543, 1930, 26370, 2648, 585, 1582, 267, 7023, 267, 2470, 267, 543, 2696, 1247, 1373, 8362, 7722, 563, 1103, 1010, 2370, 1433, 267, 2552, 6374, 894, 27302, 267, 631, 30639, 5205, 519, 5583, 540, 1010, 8978, 23003, 267, 661, 1188, 28496, 543, 853, 269, 3627, 540, 519, 9061, 267, 607, 646, 6770, 519, 2259, 540, 1033, 16670, 1318, 883, 519, 5783, 543, 883, 782, 3909, 2853, 543, 18428, 269, 1261, 1419, 10530, 661, 1188, 28496, 267, 602, 5555, 968, 933, 1590, 1577, 979, 540, 2696, 585, 2696, 779, 19160, 1848, 1261, 11339, 2676, 6944, 6374, 894, 11755, 568, 267, 538, 513, 1259, 267, 3274, 519, 13283, 585, 519, 9390, 267, 585, 7962, 1465, 267, 585, 6710, 269, 1547, 1547, 1547, 18744, 950, 649, 616, 2111, 547, 968, 2280, 979, 892, 540, 3388, 1369, 721, 267, 782, 7287, 547, 1294, 267, 547, 917, 267, 547, 6492, 543, 547, 1995, 519, 4527, 540, 2696, 267, 798, 649, 5963, 1831, 2111, 547, 1995, 602, 4527, 609, 519, 11566, 24235, 543, 4641, 602, 22499, 938, 3003, 6418, 1272, 269, 1547, 1547, 1547, 769, 824, 1913, 267, 519, 3020, 14719, 894, 568, 711, 519, 835, 945, 22316, 1010, 2247, 585, 513, 1880, 5048, 602, 646, 6499, 610, 26770, 547, 5873, 267, 855, 945, 3788, 8900, 1317, 646, 6487, 602, 646, 666, 2760, 2503, 610, 18783, 519, 2262, 602, 786, 2981, 1010, 14334, 883, 1769, 269, 1261, 1281, 711, 1256, 18783, 513, 2027, 2186, 540, 7004, 269, 274, 454, 2690, 631, 30639, 267, 950, 835, 3587, 8900, 540, 782, 602, 568, 711, 2696, 267, 835, 666, 6368, 917, 2696, 676, 26968, 532, 267, 7551, 1350, 31663, 532, 519, 11905, 540, 782, 4641, 267, 29689, 609, 5191, 543, 2648, 269, 275, 769, 631, 30639, 267, 713, 1184, 540, 7962, 3539, 568, 1079, 24670, 282, 607, 649, 968, 684, 268, 3104, 892, 938, 2025, 1582, 630, 5976, 835, 779, 2250, 3110, 3770, 1582, 21553, 1137, 264, 835, 849, 968, 684, 268, 3104, 338, 892, 519, 2696, 602, 835, 2219, 835, 6785, 269, 631, 30639, 12034, 938, 6671, 24178, 30441, 267, 938, 968, 1245, 892, 30441, 607, 2348, 15110, 513, 2178, 12402, 547, 3343, 15896, 540, 2833, 267, 9163, 543, 1919, 269, 1261, 11339, 267, 968, 763, 10206, 540, 2048, 296, 685, 10522, 519, 10206, 540, 2048, 332, 710, 9957, 594, 993, 2048, 3240, 3959, 10200, 594, 993, 27648, 676, 1018, 24508, 803, 689, 2048, 2254, 594, 16224, 602, 568, 267, 676, 1018, 568, 9553, 2048, 663, 711, 24455, 3116, 779, 685, 1848, 276, 901, 15520, 6752, 539, 968, 296, 2223, 7768, 540, 513, 5318, 1357, 540, 10562, 267, 855, 3448, 3123, 267, 568, 711, 938, 1483, 267, 3020, 267, 543, 1007, 8682, 538, 2441, 269, 1403, 649, 666, 838, 601, 6064, 938, 1259, 9944, 519, 2197, 540, 1757, 566, 649, 1265, 602, 1018, 649, 3576, 547, 581, 606, 1367, 968, 1345, 892, 568, 2965, 513, 3970, 1652, 2361, 540, 2648, 543, 5191, 547, 4431, 563, 300, 30639, 779, 6936, 8682, 568, 3970, 1652, 5876, 543, 513, 3808, 1652, 10014, 776, 7544, 609, 824, 1004, 267, 7068, 267, 543, 2696, 269, 634, 6936, 8682, 568, 519, 829, 747, 2803, 529, 267, 519, 7544, 540, 11146, 602, 2696, 568, 543, 602, 2696, 568, 2141, 21704, 532, 547, 519, 26355, 563, 2690, 631, 30639, 267, 4168, 21481, 568, 547, 1831, 2576, 649, 3112, 1843, 1518, 269, 3767, 267, 1100, 1582, 268, 3239, 568, 17598, 267, 6209, 610, 4829, 995, 269, 19452, 267, 782, 540, 513, 1268, 779, 18765, 540, 2696, 786, 723, 1044, 15702, 269, 1879, 835, 814, 713, 3689, 12287, 1995, 540, 1373, 3143, 2290, 267, 835, 568, 22064, 609, 606, 782, 12656, 341, 8172, 2631, 540, 1843, 1652, 11419, 267, 968, 1492, 546, 9579, 1782, 14334, 892, 540, 519, 29763, 779, 12808, 3465, 775, 563, 296, 321, 573, 1421, 533, 269, 476, 14625, 563, 24171, 631, 30639, 267, 24789, 543, 519, 20002, 540, 2561, 564, 924, 267, 533, 269, 476, 4366, 563, 24171, 631, 30639, 267, 2552, 6374, 894, 27302, 267, 12924, 281, 8935, 16940, 599, 267, 12005, 7734, 267, 476, 3192, 272, 1957, 3724, 282, 6032, 269, 476, 8660, 268, 3445, 563, 8450, 631, 30639, 779, 4190, 1163, 3789, 593, 519, 26968, 532, 540, 14719, 894, 11755, 538, 1010, 1715, 25994, 540, 2552, 6374, 566, 269, 12924, 281, 1715, 19648, 1957, 3724, 267, 630, 3422, 272, 1070, 476, 3192, 273, 267, 6032, 269, 476, 272, 535, 325, 563, 24171, 631, 30639, 269, 634, 7489, 4750, 540, 7338, 631, 30639, 269, 3798, 1243, 676, 10878, 23449, 8738, 2023, 267, 5696, 269, 18536, 19134, 1299, 6276, 700, 2795, 4802, 269, 12924, 290, 281, 589, 1715, 19648, 3883, 267, 476, 3192, 274, 267, 476, 3192, 276, 267, 533, 269, 476, 10755, 269, 0, 23322, 2524, 540, 681, 2086, 601, 553, 10326, 630, 293, 16307, 18041, 601, 553, 264, 538, 519, 8187, 454, 13775, 676, 1520, 2381, 593, 476, 5400, 270, 6021, 270, 1708, 271, 769, 7121, 22500, 10326, 454, 305, 2086, 601, 553, 610, 670, 2086, 601, 553, 616, 2371, 689, 519, 5651, 19687, 1920, 602, 1332, 2429, 12868, 269, 634, 4054, 616, 16559, 538, 606, 1858, 1447, 982, 476, 272, 267, 4335, 544, 1657, 4262, 1377, 269, 700, 17999, 4054, 1332, 538, 6281, 7733, 267, 3819, 10651, 267, 543, 5757, 8492, 610, 2220, 10102, 563, 763, 19856, 601, 553, 3529, 814, 1082, 3096, 267, 2523, 607, 2757, 4915, 543, 922, 3819, 3762, 616, 1031, 585, 3574, 8860, 563, 25387, 267, 19856, 601, 553, 4054, 616, 849, 4922, 12630, 607, 19211, 538, 2777, 18126, 543, 536, 976, 2967, 4054, 563, 23322, 2524, 540, 681, 2086, 601, 553, 23516, 454, 763, 3762, 616, 2582, 267, 14595, 267, 5347, 267, 24814, 267, 543, 21743, 3039, 269, 1879, 519, 3762, 3819, 856, 267, 789, 666, 581, 1031, 547, 5347, 3574, 4882, 663, 17549, 563, 23322, 2524, 540, 681, 2086, 601, 553, 22500, 454, 305, 2086, 601, 553, 4829, 568, 1507, 267, 5180, 267, 543, 3043, 950, 1762, 543, 1287, 5835, 547, 10538, 950, 22691, 563, 23322, 2524, 540, 681, 2086, 601, 553, 10326, 454, 763, 19856, 601, 553, 3529, 666, 1332, 547, 513, 4463, 540, 476, 736, 7397, 609, 513, 17657, 8006, 540, 476, 2004, 268, 2568, 4699, 269, 634, 17657, 568, 5347, 267, 16245, 267, 5180, 267, 543, 814, 1623, 335, 617, 658, 8371, 563, 1103, 3504, 2053, 267, 519, 19856, 601, 553, 3529, 729, 1419, 16916, 1317, 540, 519, 28252, 540, 922, 3762, 269, 1809, 1631, 713, 3529, 568, 12630, 1152, 607, 606, 25798, 3529, 563, 289, 2894, 9128, 3951, 306, 5508, 589, 6573, 299, 3008, 570, 12767, 454, 763, 19856, 601, 553, 3529, 3568, 513, 2603, 540, 5714, 538, 519, 17657, 543, 5072, 269, 634, 5277, 568, 5835, 880, 29744, 543, 16919, 25970, 269, 901, 5277, 666, 581, 5833, 676, 5969, 519, 5072, 543, 8720, 873, 609, 513, 8708, 971, 607, 26378, 563, 763, 5277, 689, 519, 19856, 601, 553, 3529, 666, 581, 26583, 543, 568, 3730, 585, 8156, 1004, 945, 723, 7411, 8429, 10729, 269, 0, 23322, 2524, 540, 13850, 2378, 10326, 630, 3682, 338, 641, 529, 524, 10719, 7559, 264, 538, 519, 8187, 454, 13775, 676, 1520, 2381, 593, 476, 5881, 270, 6860, 270, 1708, 273, 769, 7121, 27003, 10326, 454, 294, 327, 2378, 630, 3682, 338, 641, 529, 524, 10719, 7559, 264, 568, 513, 2249, 540, 3529, 538, 519, 1920, 28529, 19687, 269, 898, 568, 5065, 547, 25545, 4525, 540, 5375, 5607, 543, 519, 4095, 4427, 29657, 267, 1519, 15787, 267, 15840, 1778, 267, 9459, 267, 3127, 267, 744, 2006, 267, 9031, 267, 18142, 17936, 267, 2136, 6259, 2506, 29521, 267, 543, 29874, 563, 3682, 338, 641, 529, 524, 10719, 7559, 941, 1101, 3370, 538, 476, 11260, 274, 896, 519, 2012, 630, 321, 5235, 2096, 264, 631, 574, 6242, 14557, 4997, 676, 700, 4883, 30906, 538, 15661, 7233, 30946, 267, 11730, 476, 272, 267, 476, 11260, 274, 267, 533, 269, 476, 276, 1704, 269, 589, 1007, 4999, 585, 18370, 641, 529, 524, 10719, 7559, 630, 299, 4700, 667, 16078, 729, 3370, 538, 476, 4489, 275, 676, 6723, 22548, 3805, 667, 16078, 693, 519, 15636, 19680, 16510, 11833, 543, 5980, 540, 519, 3703, 1772, 956, 630, 27751, 1070, 11730, 476, 274, 267, 17136, 476, 276, 267, 533, 269, 476, 32455, 267, 3370, 538, 476, 4489, 275, 563, 9213, 519, 13850, 2378, 568, 519, 3084, 3529, 540, 519, 2136, 6259, 2506, 29521, 563, 7437, 519, 12315, 513, 13850, 2378, 5859, 922, 4961, 616, 24016, 547, 2030, 621, 538, 741, 10651, 547, 8396, 9390, 2305, 543, 585, 741, 18472, 269, 634, 9390, 8498, 540, 9294, 11445, 538, 519, 32329, 568, 1753, 547, 519, 1325, 13850, 2378, 11094, 15944, 563, 1607, 3529, 666, 16641, 3665, 26221, 543, 568, 513, 1134, 28004, 5189, 2249, 538, 2694, 540, 14913, 5607, 267, 1519, 12868, 563, 763, 13850, 2378, 3529, 568, 849, 1279, 24331, 267, 835, 1383, 540, 513, 1804, 543, 4583, 13850, 2378, 3529, 568, 519, 10326, 540, 5020, 538, 15840, 1778, 269, 634, 3529, 568, 827, 476, 6110, 1296, 2025, 543, 9428, 538, 519, 9390, 609, 1100, 2312, 2707, 540, 1216, 563, 15578, 5254, 12088, 5508, 5990, 717, 11190, 293, 570, 12767, 454, 1103, 476, 15876, 271, 5084, 267, 519, 8498, 540, 918, 515, 21186, 2993, 2282, 808, 617, 327, 20580, 538, 14076, 553, 22474, 729, 519, 6429, 540, 10795, 2825, 13720, 725, 269, 2549, 761, 320, 8061, 328, 543, 1200, 1614, 1762, 20766, 5795, 741, 2729, 538, 606, 3801, 547, 2149, 930, 540, 519, 918, 515, 329, 686, 4054, 602, 26527, 24652, 2806, 327, 599, 19453, 10288, 547, 581, 535, 8215, 547, 1118, 1259, 585, 1010, 1007, 19289, 269, 901, 3366, 547, 7839, 1219, 4800, 538, 799, 476, 3607, 274, 1004, 5747, 3843, 547, 4688, 519, 3529, 563, 1103, 519, 476, 3192, 271, 338, 267, 519, 3965, 540, 713, 15093, 2968, 519, 4098, 540, 519, 932, 760, 14150, 3350, 563, 294, 11190, 293, 570, 12767, 5442, 23781, 24702, 454, 763, 13850, 2378, 3529, 568, 3810, 9833, 676, 27734, 543, 568, 10847, 539, 607, 851, 540, 519, 667, 1380, 515, 571, 13037, 269, 901, 3529, 3587, 1271, 1282, 519, 20870, 1554, 540, 519, 667, 1380, 515, 571, 13037, 950, 621, 568, 9976, 538, 1585, 2694, 540, 3127, 269, 25214, 267, 1851, 519, 14076, 1584, 338, 267, 519, 10443, 553, 630, 15367, 941, 1164, 20577, 543, 15438, 264, 5340, 10847, 543, 1287, 513, 588, 718, 542, 799, 729, 519, 10723, 6177, 540, 7083, 681, 4821, 563, 1103, 519, 1546, 764, 534, 267, 607, 851, 540, 519, 9161, 540, 519, 20870, 1554, 540, 667, 639, 572, 31137, 267, 3057, 987, 553, 1031, 547, 9496, 21985, 693, 3529, 31750, 543, 2445, 15468, 3762, 883, 741, 8514, 753, 563, 1103, 519, 10067, 629, 9618, 1092, 267, 519, 17455, 822, 553, 6108, 741, 19412, 18818, 1032, 540, 24815, 24320, 2213, 538, 519, 10806, 540, 5164, 1092, 269, 6969, 2469, 547, 5164, 1092, 267, 789, 13793, 741, 31676, 9604, 593, 519, 13850, 2378, 3529, 547, 1832, 585, 513, 1032, 269, 1879, 789, 8120, 1310, 513, 1032, 267, 789, 1336, 741, 9604, 2922, 538, 519, 3529, 8371, 269, 6969, 2921, 741, 9604, 267, 789, 10847, 539, 519, 3529, 543, 9684, 539, 873, 585, 5329, 741, 9604, 2922, 563, 300, 8780, 288, 298, 2464, 9474, 27345, 5990, 717, 11190, 293, 570, 12767, 454, 5278, 14955, 325, 3305, 539, 8100, 2543, 3600, 29716, 7542, 2607, 13810, 607, 513, 3529, 602, 568, 26060, 543, 10847, 539, 593, 519, 1554, 540, 966, 6359, 599, 611, 1662, 9564, 269, 1717, 267, 2687, 547, 3140, 8100, 267, 18370, 641, 529, 524, 10719, 7559, 568, 513, 3529, 1634, 607, 645, 28839, 2261, 320, 543, 849, 513, 3529, 602, 814, 513, 2027, 1747, 538, 631, 903, 648, 667, 639, 572, 31137, 1141, 621, 568, 10847, 539, 593, 519, 1554, 540, 966, 6359, 599, 5937, 1662, 9564, 563, 1607, 3529, 568, 1419, 11821, 609, 519, 4457, 26816, 1181, 3529, 630, 291, 747, 15543, 778, 903 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 645, 6573, 630, 528, 6697, 21663, 476, 275, 264, 4024, 20507, 585, 1875, 10687, 20869, 609, 519, 645, 6573, 630, 528, 6697, 264, 581, 3769, 538, 11731, 286, 476, 276, 264, 1772, 972, 513, 2312, 5464, 10872, 547, 2638, 543, 1867, 1394, 593, 9265, 2773, 267, 543, 23590, 2359, 3800, 1141, 2556, 547, 2327, 5497, 4093, 786, 581, 1558, 286, 476, 277, 264, 3657, 1883, 9265, 8639, 610, 4891, 3238, 538, 5464, 543, 10442, 2773, 286, 476, 278, 264, 13201, 606, 4830, 2912, 3218, 1044, 12912, 547, 6218, 543, 1867, 593, 9265, 17846, 543, 2773, 538, 6935, 547, 519, 7150, 3853, 543, 9072, 286, 476, 279, 264, 13201, 7156, 1044, 2016, 547, 519, 10661, 540, 513, 9265, 12233, 610, 8470, 547, 936, 5408, 519, 1646, 1184, 543, 18973, 593, 19993, 6388, 286, 476, 1626, 563, 6701, 972, 1022, 2101, 10616, 538, 9265, 1344, 610, 24604, 538, 12570, 5222, 286, 476, 272, 264, 1772, 519, 1344, 3490, 1031, 547, 3589, 543, 2708, 2693, 5222, 593, 9265, 6325, 543, 7850, 286, 476, 273, 264, 13201, 1344, 593, 12119, 4527, 540, 2249, 267, 610, 27436, 2249, 267, 1044, 10356, 543, 1031, 286, 476, 274, 264, 7316, 972, 616, 2101, 10616, 267, 814, 519, 991, 585, 3606, 9265, 12220, 543, 5924, 5464, 1044, 3769, 538, 519, 645, 6573, 630, 528, 6697, 264, 547, 2087, 11236, 543, 2359, 286, 476, 1704, 269, 13201, 11865, 1044, 1500, 585, 12001, 543, 18177, 2792, 543, 8989, 286, 476, 272, 264, 4024, 972, 581, 1930, 543, 12001, 8989, 593, 2773, 543, 3356, 609, 6388, 267, 5373, 593, 4830, 32116, 888, 273, 264, 1772, 621, 2312, 950, 543, 875, 1419, 519, 2164, 540, 5464, 543, 5924, 4830, 32116, 1058, 581, 4080, 593, 267, 543, 28078, 547, 8639, 543, 519, 1857, 286, 476, 1240, 269, 13201, 11865, 1044, 1500, 585, 4656, 268, 24597, 593, 519, 2956, 540, 9265, 5726, 286, 476, 272, 264, 1684, 4566, 1331, 2792, 540, 519, 2956, 540, 9265, 5726, 547, 5171, 543, 4715, 2209, 267, 543, 519, 1857, 286, 476, 273, 264, 4024, 3800, 547, 581, 3144, 547, 4324, 9265, 581, 1857, 2213, 286, 476, 274, 264, 5620, 3255, 1044, 2813, 585, 519, 1857, 547, 1205, 3238, 543, 7119, 538, 5726, 2238, 286, 476, 866, 269, 5620, 21483, 2916, 1689, 4220, 543, 5222, 1044, 14284, 286, 476, 272, 264, 13201, 519, 1694, 532, 543, 1374, 540, 519, 28379, 3144, 883, 2272, 17191, 2101, 2916, 1689, 4220, 543, 2067, 10898, 630, 324, 3052, 563, 27463, 2084, 14700, 267, 26221, 267, 2244, 16132, 267, 2799, 1981, 540, 30481, 25145, 300, 527, 580, 908, 9265, 5222, 540, 1007, 5026, 28503, 476, 8618, 476, 277, 269, 274, 6744, 4289, 585, 519, 4070, 5123, 540, 8628, 543, 10151, 28503, 543, 6772, 599, 19698, 13505, 10661, 543, 4070, 2238, 786, 4268, 4922, 267, 4470, 593, 519, 1880, 5026, 28379, 543, 922, 2470, 630, 328, 4318, 269, 8628, 610, 10151, 264, 543, 519, 23242, 2680, 269, 901, 24920, 2488, 1806, 540, 6093, 2238, 602, 1223, 581, 3769, 538, 519, 26085, 5004, 4643, 630, 528, 6697, 264, 585, 519, 4070, 5123, 269, 898, 568, 5497, 585, 946, 676, 519, 4058, 2319, 267, 1788, 9614, 267, 543, 2825, 11464, 610, 3235, 6048, 593, 3135, 563, 29020, 7151, 540, 1434, 2259, 17846, 2268, 476, 272, 563, 14737, 574, 1047, 519, 1646, 11640, 476, 272, 264, 22682, 1629, 2117, 622, 519, 9018, 6302, 540, 2127, 15868, 547, 581, 4299, 676, 4070, 2238, 267, 1519, 1570, 4859, 2127, 267, 3937, 2482, 6658, 4609, 267, 18736, 2127, 267, 705, 331, 1081, 6703, 267, 3092, 269, 634, 5934, 2127, 2877, 585, 782, 4070, 2238, 1058, 723, 1044, 5462, 1282, 4058, 267, 547, 1217, 713, 1629, 2117, 566, 269, 476, 273, 264, 22682, 1629, 2117, 622, 2127, 610, 2934, 602, 1058, 711, 581, 4299, 1282, 4070, 269, 1452, 2127, 1058, 1331, 281, 1271, 8134, 610, 10664, 630, 324, 3052, 269, 19126, 267, 4104, 267, 1804, 4054, 5148, 2127, 1634, 547, 1683, 7226, 585, 1271, 3662, 2249, 910, 1519, 741, 3350, 10092, 282, 17280, 610, 1305, 25746, 2127, 1472, 3226, 6213, 8134, 630, 324, 3052, 563, 342, 564, 4133, 267, 18009, 4115, 2127, 1985, 547, 12535, 610, 8933, 5148, 543, 2127, 3226, 11630, 547, 11761, 610, 16132, 269, 476, 274, 264, 2422, 11640, 2127, 607, 10151, 4859, 4609, 585, 1022, 3653, 610, 14155, 730, 3037, 630, 1729, 581, 556, 268, 4310, 538, 11808, 1070, 2864, 982, 21757, 543, 2870, 3606, 4859, 2127, 269, 476, 275, 264, 3629, 2069, 267, 1344, 4687, 267, 543, 4656, 9870, 827, 9265, 2152, 547, 4070, 6887, 267, 547, 2327, 602, 789, 616, 3222, 540, 2127, 547, 2057, 630, 10175, 6213, 2127, 1070, 543, 1946, 741, 21084, 568, 2877, 269, 476, 273, 269, 10163, 648, 2127, 602, 786, 581, 4299, 676, 796, 28300, 762, 4070, 5222, 476, 272, 264, 14146, 8733, 4966, 543, 5924, 11808, 12665, 547, 18973, 593, 519, 1655, 1259, 547, 11177, 2127, 17303, 4299, 676, 4070, 2238, 563, 273, 264, 25956, 2500, 3800, 547, 11177, 12936, 2127, 607, 4166, 607, 2009, 1310, 19717, 610, 3441, 267, 547, 2327, 513, 9434, 267, 2318, 9265, 9371, 563, 274, 264, 1763, 26443, 2030, 1570, 630, 572, 2644, 267, 27191, 267, 2898, 2371, 264, 585, 946, 538, 2022, 268, 18586, 11808, 543, 30120, 269, 476, 275, 264, 6333, 9591, 513, 2030, 21543, 547, 4558, 5452, 543, 2371, 267, 543, 29608, 1007, 2371, 585, 946, 538, 11808, 543, 30120, 269, 476, 274, 269, 3687, 574, 1047, 2800, 547, 21426, 538, 519, 1646, 11640, 476, 272, 264, 1763, 26443, 543, 882, 11229, 2831, 593, 519, 4070, 4609, 547, 3617, 8391, 2127, 267, 593, 519, 5796, 540, 519, 2319, 610, 513, 11285, 3235, 6048, 630, 324, 3052, 269, 538, 26551, 267, 7366, 540, 512, 611, 335, 3421, 543, 20883, 941, 6394, 543, 882, 11343, 547, 513, 5078, 6870, 1858, 1354, 4070, 3459, 1040, 476, 275, 269, 3680, 543, 5924, 6922, 1047, 2800, 547, 4955, 7992, 610, 9960, 2249, 476, 272, 264, 21480, 4070, 1282, 519, 3617, 4005, 547, 6922, 1047, 2942, 5222, 593, 4955, 7992, 610, 9960, 2249, 563, 273, 264, 1684, 711, 1450, 6469, 2831, 547, 581, 5189, 547, 4070, 4609, 563, 274, 264, 5900, 778, 6177, 8184, 11651, 1562, 547, 16841, 15791, 543, 1379, 6050, 269, 476, 275, 264, 3550, 602, 267, 1141, 535, 9760, 568, 1031, 267, 621, 568, 15449, 762, 547, 2647, 8573, 4474, 3662, 2249, 267, 865, 607, 711, 547, 15641, 324, 3350, 563, 300, 527, 580, 908, 9265, 5222, 540, 1007, 5026, 28503, 476, 7830, 20638, 7151, 540, 1434, 2259, 17846, 2268, 476, 276, 269, 3680, 543, 5924, 2061, 3186, 8494, 5314, 540, 11934, 543, 11761, 267, 11159, 20834, 5314, 883, 1216, 267, 543, 7452, 476, 272, 264, 5384, 4070, 2238, 547, 14626, 728, 609, 519, 3819, 4005, 1141, 972, 568, 513, 1981, 540, 11547, 25498, 543, 11761, 267, 610, 1141, 972, 568, 6777, 3382, 547, 2149, 1996, 3037, 3441, 563, 273, 264, 4825, 664, 607, 1454, 3037, 543, 2067, 10664, 607, 2009, 950, 21757, 2127, 630, 324, 3052, 269, 4894, 1152, 7725, 543, 1377, 1152, 519, 13193, 326, 4554, 267, 1034, 5906, 7252, 585, 31562, 1040, 476, 274, 264, 3687, 574, 1047, 519, 942, 602, 14155, 730, 3037, 568, 6534, 547, 1216, 543, 2842, 267, 543, 946, 713, 3037, 538, 11808, 282, 11808, 1058, 581, 5645, 856, 5612, 1310, 4070, 568, 2347, 269, 476, 275, 264, 28509, 7452, 20834, 5314, 998, 3617, 7452, 23418, 1833, 3800, 563, 276, 264, 1160, 3031, 527, 946, 540, 5230, 12227, 1369, 513, 3989, 1305, 3724, 689, 1216, 322, 12973, 547, 2312, 10664, 282, 1022, 1898, 21757, 1058, 581, 2944, 676, 1688, 269, 476, 277, 264, 5590, 11735, 513, 17280, 540, 2067, 10664, 1063, 4070, 2238, 543, 1216, 322, 12973, 543, 5924, 946, 521, 2830, 535, 9760, 547, 1852, 11761, 543, 11159, 566, 269, 476, 277, 269, 3680, 543, 5924, 6922, 1047, 6846, 543, 19089, 19717, 547, 21426, 476, 272, 264, 21480, 4070, 2238, 602, 5352, 21513, 543, 6846, 5402, 547, 2057, 3441, 543, 5924, 19717, 547, 6213, 2831, 630, 324, 3052, 269, 25438, 3796, 616, 3226, 6213, 547, 21513, 1040, 476, 273, 264, 3680, 6846, 543, 21513, 693, 546, 23677, 543, 1282, 519, 3781, 563, 274, 264, 24269, 15164, 267, 8430, 1114, 26776, 2238, 630, 324, 3052, 563, 4565, 8463, 543, 3618, 332, 8221, 264, 547, 2049, 693, 519, 1482, 942, 267, 3976, 4227, 741, 8653, 269, 476, 275, 264, 3687, 574, 1047, 519, 946, 540, 14885, 1161, 282, 1141, 15164, 267, 2057, 1025, 8463, 998, 946, 540, 4287, 531, 17656, 269, 476, 276, 264, 10163, 2774, 3108, 540, 5106, 540, 5230, 543, 26776, 3937, 269, 476, 277, 264, 2422, 3280, 13471, 267, 9688, 3623, 523, 6203, 267, 9602, 9023, 11655, 267, 1035, 24065, 673, 28277, 267, 3092, 269, 593, 26776, 3937, 543, 12227, 269, 476, 278, 269, 3680, 543, 5924, 6922, 1047, 2800, 547, 2831, 689, 5841, 8654, 476, 272, 264, 21480, 4070, 547, 1491, 883, 2272, 543, 6922, 1047, 13779, 609, 1019, 19012, 3270, 540, 1271, 9265, 269, 769, 1880, 267, 2057, 610, 6922, 1047, 8654, 693, 3781, 563, 273, 264, 3680, 267, 1141, 2009, 267, 610, 6922, 1047, 946, 540, 8279, 693, 3781, 269, 7316, 796, 28300, 762, 267, 946, 4287, 531, 543, 5924, 1524, 2000, 18017, 547, 6922, 1047, 5739, 2360, 269, 31896, 540, 10664, 666, 13104, 6213, 2127, 1996, 1769, 282, 519, 946, 540, 1769, 268, 25388, 321, 550, 2864, 982, 14436, 7252, 666, 2569, 3262, 540, 1769, 269, 1325, 18146, 519, 8515, 543, 5924, 15423, 540, 8654, 666, 849, 948, 547, 6922, 1047, 2800, 563, 276, 476, 279, 269, 3680, 543, 5924, 6922, 1047, 5533, 540, 1216, 2200, 476, 272, 264, 3687, 574, 1047, 946, 540, 782, 5732, 5739, 6464, 267, 552, 3052, 269, 538, 21757, 540, 4609, 267, 2182, 2287, 4672, 585, 31562, 267, 3092, 269, 476, 273, 264, 13505, 8034, 2454, 6703, 1134, 2476, 689, 6213, 2127, 547, 2061, 12526, 540, 8134, 269, 476, 274, 264, 16473, 3350, 540, 521, 2830, 2000, 23565, 7297, 883, 13476, 6213, 2127, 676, 1210, 11159, 1852, 2553, 269, 476, 275, 264, 6034, 1022, 5732, 13572, 20359, 2476, 689, 6213, 12748, 6208, 269, 476, 276, 264, 5901, 6405, 543, 6405, 3937, 11547, 1216, 2476, 689, 519, 12775, 2127, 543, 15195, 8134, 269, 476, 277, 264, 5620, 606, 6595, 3210, 1544, 543, 3937, 538, 1747, 547, 2270, 1022, 23139, 29908, 540, 14107, 563, 300, 527, 580, 908, 9265, 5222, 540, 1007, 5026, 28503, 476, 8287, 20638, 7151, 540, 1434, 2259, 17846, 2268, 476, 280, 269, 3680, 543, 5924, 6922, 1047, 2242, 547, 1216, 2095, 476, 272, 264, 3680, 19249, 2067, 12775, 3270, 610, 519, 1576, 540, 513, 5757, 610, 6908, 269, 476, 273, 264, 3680, 1958, 549, 2286, 593, 6360, 21622, 267, 18009, 4115, 267, 543, 26868, 2127, 269, 476, 274, 264, 3550, 602, 972, 568, 606, 3617, 7088, 4248, 610, 2627, 1216, 2359, 1544, 267, 8716, 12775, 883, 1016, 810, 2812, 630, 324, 3052, 269, 998, 2220, 2297, 264, 2864, 982, 6650, 1889, 762, 17774, 5217, 267, 6922, 2358, 2627, 20359, 269, 476, 275, 264, 6333, 1210, 3039, 610, 15449, 762, 17362, 906, 543, 2220, 2297, 547, 6922, 1047, 20359, 267, 2864, 982, 1210, 2182, 3889, 610, 12992, 563, 276, 264, 6333, 1210, 3039, 32072, 630, 328, 4318, 269, 513, 8122, 14356, 610, 6192, 4988, 609, 10664, 264, 547, 2569, 519, 4320, 540, 2627, 1216, 1373, 4503, 547, 1857, 29326, 720, 1949, 269, 476, 277, 264, 1234, 12860, 543, 19074, 1216, 282, 2263, 946, 540, 16894, 538, 4070, 269, 476, 1015, 563, 22879, 543, 5924, 6922, 1047, 26610, 540, 2067, 610, 2565, 7226, 543, 519, 5137, 540, 7496, 547, 3662, 3350, 476, 272, 264, 4825, 664, 7320, 23725, 832, 610, 2048, 4614, 6137, 10007, 685, 540, 2067, 7226, 547, 1450, 3662, 3350, 2066, 519, 1646, 1858, 269, 476, 273, 264, 3680, 16245, 532, 3889, 2066, 267, 610, 7496, 593, 267, 1634, 3350, 11507, 630, 324, 3052, 269, 3354, 535, 9760, 267, 9897, 267, 3092, 12175, 476, 274, 264, 7316, 6908, 610, 5757, 3444, 902, 616, 2838, 267, 1118, 2386, 602, 789, 3136, 547, 1683, 8574, 585, 3165, 543, 7320, 269, 476, 275, 264, 7316, 9897, 610, 31966, 786, 957, 607, 513, 11064, 547, 7320, 267, 1683, 896, 268, 610, 936, 10139, 525, 547, 1450, 4797, 3350, 267, 610, 15449, 762, 7496, 547, 1450, 8574, 563, 22879, 543, 5924, 6922, 1047, 519, 1104, 610, 4367, 540, 9813, 543, 12362, 2249, 610, 10860, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1963, 899, 10683, 2472, 267, 5613, 267, 5388, 267, 543, 16469, 2899, 596, 5734, 519, 4155, 269, 16731, 6705, 6990, 267, 2706, 5658, 1115, 267, 610, 13418, 8637, 4470, 593, 4087, 269, 2142, 1930, 547, 3843, 6237, 32258, 543, 4188, 10624, 4566, 9935, 780, 278, 269, 15188, 1426, 5265, 281, 5901, 3819, 5370, 20177, 17401, 538, 11149, 547, 2061, 10860, 543, 2226, 4195, 1145, 269, 22982, 3579, 619, 610, 14023, 2209, 3927, 585, 2837, 25259, 3688, 269, 17115, 2638, 1163, 19418, 7389, 543, 17967, 11891, 547, 2057, 3653, 780, 279, 269, 16259, 6980, 7561, 281, 2755, 6117, 1063, 18353, 267, 2015, 8600, 2241, 8286, 602, 2154, 8766, 4674, 269, 15944, 1950, 10346, 585, 13515, 1141, 15792, 942, 568, 21248, 269, 1879, 2009, 267, 5595, 16801, 6980, 547, 2972, 2451, 13569, 2663, 538, 519, 3018, 780, 280, 269, 11162, 909, 1310, 5986, 281, 2991, 1169, 7594, 267, 2973, 3434, 2264, 267, 2759, 331, 2044, 267, 543, 4831, 5624, 8499, 269, 2598, 2821, 540, 17885, 5781, 543, 4558, 23431, 11435, 585, 2104, 17365, 8255, 269, 24367, 1931, 5849, 5347, 4238, 1282, 18302, 543, 24024, 804, 13616, 19221, 780, 1015, 269, 17949, 2199, 18226, 2833, 281, 4014, 1582, 1790, 10517, 1563, 6980, 2709, 1942, 9806, 543, 8112, 267, 1810, 1405, 21183, 2476, 689, 10386, 8076, 552, 831, 625, 2059, 707, 8905, 269, 22737, 2686, 21599, 676, 18656, 3101, 538, 2757, 24214, 693, 14060, 267, 22538, 525, 267, 610, 8265, 21527, 269, 5457, 547, 3666, 891, 856, 902, 609, 19471, 6980, 547, 1832, 9276, 10257, 780, 3528, 4058, 29367, 543, 20170, 547, 891, 3268, 267, 596, 3513, 1711, 12300, 11477, 8090, 2429, 707, 3864, 5179, 24610, 7045, 1247, 11981, 519, 10366, 540, 1325, 18090, 11951, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 28666, 2342, 538, 513, 5179, 24610, 568, 519, 5326, 540, 1082, 2951, 12439, 269, 898, 729, 938, 5326, 585, 513, 1279, 942, 1354, 649, 941, 6368, 2111, 547, 1118, 621, 938, 4641, 538, 476, 1708, 273, 950, 649, 11751, 938, 5179, 24610, 543, 3459, 2407, 942, 2951, 269, 4595, 1287, 649, 723, 24964, 547, 476, 1839, 2477, 543, 621, 814, 1044, 519, 1655, 1995, 2479, 563, 2252, 596, 723, 513, 5179, 24610, 610, 4342, 704, 7079, 267, 596, 949, 581, 4743, 513, 2370, 31536, 633, 827, 6028, 519, 5177, 547, 1491, 593, 2342, 269, 1284, 2461, 1934, 547, 2322, 707, 2247, 693, 8897, 543, 2995, 596, 3388, 596, 991, 547, 917, 827, 2921, 707, 5179, 24610, 547, 2342, 269, 11565, 721, 267, 621, 779, 1454, 1732, 982, 21409, 519, 5177, 2336, 293, 518, 787, 610, 16402, 339, 684, 6773, 888, 763, 1360, 1101, 3364, 596, 991, 547, 6430, 950, 2921, 707, 5179, 24610, 547, 2342, 568, 875, 547, 1205, 972, 269, 589, 2243, 602, 1082, 2951, 6840, 949, 581, 11842, 568, 2436, 519, 7542, 787, 610, 519, 16402, 339, 684, 6773, 568, 1655, 563, 10376, 723, 741, 1378, 5294, 543, 931, 267, 543, 972, 616, 1082, 1919, 547, 1491, 883, 7156, 1354, 1818, 519, 3375, 563, 2171, 723, 2854, 513, 5816, 2022, 782, 827, 713, 1641, 538, 811, 1469, 267, 799, 586, 334, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 2704, 18090, 28690, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 4937, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 3848, 476, 1015, 281, 8693, 7827, 543, 5274, 2657, 910, 6581, 1359, 3163, 20043, 692, 5331, 952, 596, 1223, 1831, 513, 19792, 267, 14236, 519, 13655, 602, 1860, 938, 4541, 543, 922, 11317, 256, 4270, 267, 7058, 1018, 286, 1411, 2907, 616, 835, 256, 1306, 8049, 1647, 30595, 267, 596, 2811, 2141, 6998, 2055, 267, 5275, 4267, 267, 543, 3843, 547, 1174, 519, 1158, 1472, 596, 269, 1924, 1577, 781, 2322, 1346, 1983, 547, 946, 543, 1451, 827, 2916, 1689, 543, 1480, 1072, 1247, 849, 3695, 930, 2462, 2093, 899, 945, 4991, 547, 798, 2257, 543, 4171, 9739, 2339, 538, 5935, 938, 1620, 540, 1271, 2152, 780, 5575, 267, 1577, 781, 2911, 827, 1945, 1572, 2916, 1689, 269, 898, 1522, 3280, 7294, 267, 855, 2731, 267, 621, 1175, 4016, 547, 519, 1259, 3047, 781, 2837, 814, 1044, 4657, 936, 942, 1813, 547, 1919, 3425, 723, 1044, 3257, 267, 899, 8781, 8093, 10173, 585, 1648, 269, 1879, 649, 6633, 891, 2326, 267, 971, 607, 5755, 267, 3282, 267, 543, 3154, 267, 789, 5305, 9362, 883, 519, 2011, 267, 29212, 3002, 2673, 547, 3047, 1107, 713, 7613, 568, 1634, 607, 519, 8511, 1198, 269, 901, 8337, 7678, 666, 1291, 547, 782, 12204, 540, 2042, 267, 899, 8375, 4262, 2157, 267, 3665, 4365, 2621, 267, 543, 2242, 538, 9249, 1141, 2831, 2661, 269, 1809, 1705, 596, 917, 602, 2916, 1689, 666, 849, 1764, 707, 1378, 8171, 543, 602, 540, 824, 2713, 7068, 286, 2334, 781, 1318, 256, 2913, 781, 4685, 4514, 883, 713, 10578, 4276, 1063, 2916, 1689, 543, 1480, 1072, 780, 3086, 267, 4952, 3054, 607, 513, 4387, 2324, 2182, 547, 1832, 1004, 2635, 269, 1548, 1131, 4755, 952, 707, 2550, 10393, 3323, 7680, 811, 11959, 267, 10447, 6285, 267, 610, 1256, 2295, 2042, 982, 8912, 286, 16393, 972, 581, 513, 3095, 1063, 891, 1072, 4145, 543, 2825, 2188, 286, 25999, 256, 15448, 538, 2837, 267, 11195, 267, 543, 2011, 2298, 3361, 676, 2916, 1689, 666, 22652, 7929, 2175, 899, 10447, 543, 32583, 267, 1818, 873, 8338, 585, 1082, 11570, 856, 972, 269, 3958, 267, 2799, 3327, 8166, 2157, 666, 3895, 519, 2208, 540, 6784, 21329, 2371, 267, 3056, 547, 2362, 14947, 12523, 543, 4929, 3765, 2044, 585, 18720, 8611, 24412, 269, 962, 10105, 2439, 3719, 7227, 267, 972, 781, 811, 256, 654, 9879, 5210, 666, 849, 5512, 2068, 21307, 11538, 10860, 899, 19498, 543, 24217, 547, 8853, 538, 1007, 4525, 267, 5732, 10825, 10108, 899, 13663, 267, 28939, 8611, 267, 25425, 2068, 267, 543, 4639, 20407, 3644, 2417, 982, 2479, 1354, 269, 1656, 1810, 1405, 7340, 827, 2790, 1072, 282, 21500, 2404, 609, 2916, 1689, 5222, 267, 971, 607, 12761, 1813, 547, 4049, 15420, 610, 23967, 267, 666, 3565, 547, 4160, 267, 4965, 267, 543, 2022, 32034, 2566, 4524, 630, 303, 15056, 1040, 22682, 267, 2916, 1689, 13514, 1713, 2591, 585, 4509, 1434, 1072, 780, 2026, 27503, 3744, 267, 621, 781, 1898, 547, 2243, 519, 4567, 28943, 543, 2015, 3309, 5380, 865, 602, 3025, 2640, 689, 8441, 538, 1702, 543, 2029, 269, 25214, 267, 1978, 2516, 540, 1004, 723, 5185, 7496, 547, 17034, 2069, 543, 10283, 538, 3621, 18697, 267, 4611, 538, 7864, 3255, 547, 3337, 1382, 989, 31789, 543, 2232, 10296, 1514, 2152, 899, 2916, 1689, 269, 1635, 8508, 13784, 543, 8716, 2043, 540, 782, 10080, 547, 4497, 538, 3621, 3408, 267, 649, 10802, 938, 7104, 1620, 543, 1711, 1732, 3435, 585, 1169, 4759, 540, 2486, 780, 3383, 1934, 781, 707, 5692, 267, 15210, 3713, 1161, 281, 3251, 5483, 267, 2307, 2565, 2055, 267, 543, 12167, 585, 8537, 4485, 547, 1565, 543, 1966, 9010, 269, 8625, 267, 649, 666, 10994, 1950, 2591, 899, 2916, 1689, 543, 2327, 513, 17321, 2104, 585, 5481, 547, 2097, 269, 8414, 11739, 583, 3107, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 9074, 6212, 593, 1543, 2127, 1644, 547, 519, 9443, 267, 1519, 2067, 9443, 267, 14498, 267, 7998, 267, 6323, 267, 543, 7350, 269, 1284, 2263, 2081, 547, 4228, 4245, 547, 1331, 476, 273, 20784, 294, 6630, 304, 266, 1543, 267, 543, 547, 4161, 2093, 827, 945, 1058, 1353, 2257, 269, 634, 3741, 949, 581, 9862, 547, 1022, 2257, 1576, 6026, 693, 519, 3119, 610, 6281, 1377, 563, 20075, 1359, 2257, 6030, 1797, 4101, 10054, 827, 945, 568, 1655, 14018, 547, 1353, 2257, 267, 15819, 875, 2257, 1568, 547, 3132, 1702, 267, 1018, 568, 2808, 968, 20777, 892, 543, 968, 984, 11187, 892, 1702, 1765, 31860, 950, 621, 2501, 547, 10636, 517, 768, 894, 543, 28250, 14054, 5991, 768, 894, 24300, 540, 519, 1158, 563, 10303, 2257, 568, 1419, 2938, 607, 513, 9015, 585, 2367, 267, 2021, 543, 1098, 543, 1875, 321, 2435, 1004, 616, 26173, 538, 3621, 22825, 543, 741, 960, 568, 711, 9833, 609, 519, 1482, 2463, 607, 5256, 9164, 269, 6684, 267, 2021, 267, 6690, 267, 543, 1098, 543, 1875, 321, 2435, 1004, 949, 581, 5705, 569, 543, 16765, 569, 27209, 689, 4974, 2257, 630, 324, 3052, 1421, 607, 649, 1294, 538, 2021, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20458, 7827, 543, 5274, 2657, 257, 607, 851, 540, 834, 25503, 1315, 7025, 2657, 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, 5379, 281, 24531, 519, 18903, 540, 5675, 692, 5970, 596, 2479, 2219, 827, 4742, 513, 5856, 286, 9320, 596, 2972, 2870, 707, 1378, 2984, 610, 5329, 513, 4760, 269, 9861, 513, 5856, 2636, 596, 547, 2769, 3054, 543, 2671, 707, 4555, 543, 9345, 609, 1866, 269, 769, 713, 3184, 267, 649, 786, 2263, 1114, 2010, 540, 1603, 543, 1451, 875, 5830, 946, 741, 1913, 547, 1711, 10600, 543, 6655, 4664, 269, 1284, 786, 1256, 2119, 938, 1688, 693, 930, 3860, 1603, 5751, 2439, 4089, 476, 272, 281, 1548, 6496, 898, 6399, 547, 2142, 513, 27752, 2496, 18455, 513, 5856, 1797, 811, 982, 1175, 8380, 4050, 547, 1957, 610, 17511, 593, 513, 2780, 269, 589, 5856, 3096, 1893, 547, 5968, 2093, 267, 8300, 2962, 267, 543, 18427, 7553, 269, 19536, 666, 960, 538, 1082, 4610, 267, 1519, 19761, 267, 10229, 267, 1857, 1894, 267, 543, 3332, 269, 1358, 949, 2328, 4930, 267, 22099, 267, 18531, 267, 9954, 267, 4249, 267, 2110, 2984, 267, 9089, 267, 610, 5496, 680, 904, 269, 3143, 2339, 1018, 789, 616, 1603, 267, 782, 3811, 5830, 2671, 1978, 7907, 281, 7279, 267, 5876, 267, 8990, 267, 9015, 267, 543, 6568, 780, 10501, 6685, 11479, 5830, 547, 2307, 2055, 543, 3343, 4267, 269, 1635, 1373, 8049, 267, 5830, 3605, 1007, 3584, 547, 2328, 827, 543, 2744, 2189, 4030, 602, 948, 873, 1921, 609, 3988, 269, 27065, 6087, 5830, 547, 1589, 3544, 519, 4216, 543, 1020, 3312, 2093, 269, 10318, 1588, 2337, 5830, 7753, 2591, 543, 22303, 269, 2598, 23002, 5849, 602, 5830, 2743, 21852, 543, 2226, 11007, 538, 741, 960, 269, 27919, 13071, 5830, 1174, 543, 9305, 547, 3309, 5380, 267, 799, 2306, 741, 1603, 811, 11541, 543, 26374, 780, 4089, 476, 273, 281, 10289, 7756, 9537, 540, 5675, 692, 2467, 616, 9118, 2081, 547, 30387, 1603, 267, 855, 835, 2241, 1259, 568, 676, 12270, 621, 883, 1079, 1292, 6688, 281, 16878, 543, 3860, 269, 1401, 1842, 7480, 1603, 6663, 547, 1217, 610, 2491, 1247, 1210, 2312, 543, 13801, 1893, 269, 6201, 540, 16878, 1603, 1331, 3377, 4930, 267, 6044, 8261, 338, 267, 1382, 4574, 267, 543, 1870, 5359, 269, 11300, 1603, 267, 593, 519, 824, 1688, 267, 6212, 593, 9423, 998, 19511, 6386, 543, 12667, 11673, 269, 5871, 3029, 540, 3860, 1603, 1331, 6965, 267, 12416, 267, 5708, 267, 543, 2123, 3594, 780, 4131, 781, 1491, 513, 6251, 1413, 693, 891, 2185, 2010, 540, 3860, 1603, 1384, 265, 17826, 281, 901, 1106, 540, 1603, 1419, 7710, 2620, 4664, 267, 7493, 2035, 267, 610, 1950, 4798, 998, 24754, 3270, 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 ]
[ 30994, 270, 10812, 19396, 1849, 31255, 8940, 18192, 23709, 329, 984, 3333, 20760, 2593, 27706, 31326, 18361, 5291, 2517, 4178, 12500, 3149, 10993, 270, 334, 2129, 270, 4841, 666, 3406, 11678, 676, 2816, 2140, 543, 2816, 3747, 269, 22362, 11242, 281, 9105, 1053, 547, 798, 1382, 593, 741, 4876, 4690, 547, 3313, 11444, 543, 2816, 13120, 538, 2078, 547, 2022, 29364, 776, 2866, 543, 960, 1995, 269, 11314, 281, 5620, 1053, 9337, 519, 10374, 12910, 17644, 3296, 1369, 741, 5800, 12859, 5620, 1053, 9337, 17644, 883, 11059, 3296, 1369, 741, 5800, 12859, 20180, 832, 281, 7348, 519, 1739, 5359, 281, 23448, 22793, 11242, 281, 7348, 676, 9906, 267, 21816, 17621, 15232, 269, 7831, 3018, 1053, 941, 4280, 547, 9337, 891, 2127, 269, 1403, 596, 723, 1053, 945, 723, 711, 8242, 741, 14769, 267, 2911, 609, 873, 27352, 543, 2709, 6351, 269, 0, 5978, 4081, 4966, 616, 4712, 543, 7996, 547, 4217, 609, 1022, 1603, 1788, 596, 949, 723, 269, 3245, 2241, 1557, 4566, 267, 998, 547, 2407, 4744, 31277, 267, 596, 666, 10018, 649, 723, 513, 3028, 9985, 20083, 547, 707, 2115, 563, 12585, 519, 1739, 538, 693, 2547, 476, 4335, 1913, 454, 23220, 7627, 2923, 946, 585, 30222, 630, 25405, 1408, 700, 518, 1676, 264, 1223, 723, 6397, 2360, 630, 324, 3052, 1421, 519, 27988, 1014, 4838, 1040, 11512, 609, 4704, 547, 2605, 656, 345, 27684, 517, 779, 4901, 540, 519, 1259, 519, 18919, 301, 267, 543, 27988, 1014, 18793, 540, 519, 4838, 267, 1031, 519, 5925, 269, 4746, 1865, 609, 18539, 322, 5435, 779, 4661, 827, 519, 20961, 540, 9459, 779, 30096, 610, 22573, 30222, 267, 543, 519, 2956, 540, 513, 264, 9099, 17035, 267, 543, 536, 264, 968, 20791, 2923, 892, 971, 607, 22101, 8291, 7148, 525, 269, 8571, 593, 21244, 32511, 340, 7315, 779, 17748, 540, 2048, 332, 4215, 685, 607, 7311, 17618, 547, 1022, 543, 782, 3344, 540, 519, 1480, 1560, 543, 519, 1604, 269, 0, 14503, 1662, 11568, 538, 13658, 476, 273, 1546, 1188, 630, 3393, 994, 1432, 568, 1582, 30625, 888, 31088, 1004, 946, 547, 20006, 267, 7369, 267, 543, 1852, 741, 2623, 538, 519, 13287, 540, 3853, 563, 763, 5821, 547, 5431, 519, 2956, 540, 32638, 7506, 593, 2623, 267, 543, 519, 12402, 547, 21467, 332, 3508, 1125, 519, 2956, 540, 8741, 1431, 540, 7592, 593, 2623, 563, 293, 1495, 4442, 5316, 1081, 5470, 454, 763, 2856, 602, 1004, 1058, 3651, 4389, 2597, 547, 513, 1880, 2014, 540, 2623, 952, 824, 26363, 3123, 1522, 723, 3812, 621, 563, 763, 2856, 602, 1004, 1058, 3651, 3152, 2597, 547, 513, 1880, 2014, 540, 2623, 952, 824, 3123, 547, 519, 2621, 1472, 873, 2360, 602, 1004, 781, 13680, 10526, 723, 563, 1432, 568, 519, 1582, 1606, 17057, 320, 888, 290, 4321, 3889, 267, 6508, 689, 2250, 1995, 267, 602, 2099, 513, 1268, 781, 4978, 543, 4606, 827, 519, 1582, 538, 1880, 11890, 563, 1432, 568, 1582, 268, 591, 2305, 888, 288, 3069, 602, 6585, 602, 1004, 11441, 585, 7123, 267, 1641, 1947, 4977, 4978, 827, 519, 1582, 1317, 971, 4978, 2285, 873, 513, 2631, 540, 6015, 563, 1432, 568, 519, 1582, 1606, 6326, 9186, 888, 763, 12402, 547, 14487, 5821, 543, 824, 3983, 2621, 547, 5007, 6381, 267, 855, 547, 14487, 1967, 543, 824, 1434, 2621, 547, 13951, 563, 1432, 568, 5316, 1081, 888, 2304, 22597, 2165, 1031, 547, 4766, 519, 1305, 540, 7811, 6589, 540, 875, 1004, 3651, 3123, 547, 519, 2621, 1472, 873, 543, 519, 2360, 602, 1004, 781, 13680, 10526, 723, 563, 21008, 2581, 540, 13951, 547, 513, 14758, 9952, 1367, 563, 21008, 2581, 540, 13951, 547, 513, 1732, 9952, 1367, 547, 3895, 3804, 5498, 22701, 563, 288, 2203, 602, 15387, 602, 1004, 616, 12592, 547, 2070, 2933, 538, 513, 15028, 1769, 267, 543, 789, 798, 865, 998, 1079, 3157, 281, 8086, 543, 1514, 6476, 563, 20236, 3887, 1998, 6672, 5826, 2203, 454, 15987, 1206, 540, 1018, 1522, 723, 267, 1223, 723, 267, 610, 1058, 723, 5949, 834, 604, 1152, 257, 1945, 1185, 1044, 2944, 8335, 563, 288, 3731, 3832, 1154, 909, 540, 606, 3929, 5114, 547, 606, 2680, 602, 568, 14354, 547, 875, 2653, 621, 568, 547, 4952, 519, 2680, 711, 8345, 563, 1432, 568, 1582, 12635, 286, 1548, 616, 930, 2081, 621, 568, 6027, 888, 3080, 781, 6268, 540, 13951, 269, 898, 666, 581, 6027, 607, 1164, 610, 1970, 267, 543, 849, 7123, 610, 18633, 563, 763, 8367, 602, 1004, 5635, 2933, 547, 824, 1004, 538, 1931, 547, 3489, 606, 4977, 4879, 540, 741, 1378, 8369, 267, 5759, 267, 543, 4835, 2829, 563, 12892, 6476, 3157, 270, 1492, 800, 454, 2304, 2272, 540, 1582, 12635, 602, 15387, 602, 1582, 12635, 568, 20314, 550, 593, 18454, 543, 14286, 538, 11890, 593, 799, 513, 1268, 814, 1759, 1010, 610, 1200, 1582, 2914, 2180, 563, 3519, 1154, 4293, 540, 1582, 2914, 2180, 2272, 540, 1582, 12635, 454, 8802, 6819, 2623, 609, 2463, 547, 11129, 4441, 267, 1303, 9430, 513, 1445, 593, 9319, 2942, 4093, 543, 21084, 5829, 5615, 563, 8802, 6819, 2623, 609, 2463, 547, 4998, 1582, 4441, 267, 1303, 9430, 513, 1445, 593, 1140, 8724, 2318, 4093, 543, 1935, 5829, 5615, 563, 763, 4466, 602, 1034, 1004, 1589, 789, 616, 1657, 3328, 593, 1585, 16023, 543, 2702, 7516, 563, 289, 21392, 982, 3328, 1198, 454, 8138, 3553, 540, 1582, 268, 32474, 602, 568, 4547, 547, 2247, 538, 513, 1880, 2796, 563, 763, 3661, 602, 1004, 1205, 1018, 789, 17330, 538, 1272, 543, 17330, 1018, 789, 1205, 563, 9617, 1158, 8367, 454, 1432, 1281, 20858, 13391, 2541, 3563, 2161, 827, 1164, 1582, 12635, 888, 11947, 1582, 22644, 949, 2014, 513, 1268, 547, 1685, 10795, 6411, 1317, 789, 1491, 856, 741, 10845, 538, 1866, 269, 1358, 798, 711, 16620, 2933, 563, 1432, 781, 519, 3017, 1063, 2348, 1164, 1582, 12635, 602, 568, 7123, 610, 18633, 888, 2252, 621, 568, 7123, 267, 741, 2949, 5133, 1281, 711, 1689, 1932, 1454, 269, 1717, 267, 513, 1268, 609, 18633, 22644, 786, 1689, 741, 5133, 20427, 563, 11243, 519, 1614, 3334, 538, 11612, 326, 1231, 262, 3069, 540, 1582, 16162, 920, 26989, 563, 8002, 783, 1582, 281, 1018, 2576, 568, 899, 454, 29613, 531, 1582, 281, 1018, 789, 9364, 23679, 899, 547, 581, 454, 302, 9853, 1582, 281, 1018, 789, 1589, 789, 11129, 547, 581, 454, 1320, 9722, 827, 3054, 282, 3168, 1369, 269, 630, 7078, 281, 20562, 344, 327, 846, 267, 24925, 4882, 22324, 1554, 543, 1272, 9547, 994, 2691, 8456, 610, 4606, 616, 24813, 610, 4617, 563, 24066, 6672, 540, 1582, 454, 15447, 1578, 827, 1582, 454, 10144, 609, 1164, 6617, 3490, 741, 22644, 593, 5266, 3586, 30269, 2188, 269, 0, 2005, 568, 513, 1857, 2069, 9744, 799, 568, 13984, 676, 3214, 1063, 519, 2085, 540, 476, 275, 543, 476, 277, 950, 789, 4434, 547, 519, 717, 1258, 1091, 577, 9567, 1547, 769, 918, 17703, 7159, 267, 918, 17703, 7159, 328, 3214, 1522, 979, 547, 1863, 8128, 2186, 1120, 691, 839, 585, 476, 273, 1296, 1063, 519, 6502, 540, 1614, 7146, 8584, 28451, 543, 2947, 269, 769, 5527, 267, 1453, 1522, 979, 547, 2186, 1120, 691, 839, 585, 1079, 1296, 1063, 519, 6502, 540, 2185, 543, 476, 277, 269, 16862, 568, 20295, 609, 21722, 4104, 2186, 1120, 691, 839, 267, 676, 799, 3214, 6108, 1034, 540, 1169, 2582, 1554, 13964, 538, 513, 2067, 1604, 269, 7046, 27350, 568, 519, 1505, 1031, 547, 18934, 1053, 945, 3251, 16538, 540, 519, 918, 10044, 3427, 10588, 6302, 563, 268, 634, 1982, 22316, 2852, 1053, 585, 2359, 5107, 538, 519, 3533, 8375, 2361, 540, 8246, 6208, 2079, 563, 268, 11334, 540, 9656, 538, 1875, 1790, 3016, 12621, 1590, 2356, 723, 1100, 1447, 982, 513, 20277, 779, 4110, 267, 855, 513, 1533, 4051, 532, 12689, 1175, 3884, 1406, 2141, 513, 10421, 538, 1875, 1790, 3016, 3506, 563, 268, 4653, 267, 519, 2165, 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 ]
[ 899, 556, 10276, 716, 621, 607, 513, 11505, 1895, 267, 865, 602, 781, 875, 621, 1568, 563, 298, 5271, 514, 21025, 15362, 7790, 11631, 10361, 974, 12329, 454, 296, 6415, 24910, 21025, 15362, 267, 10361, 974, 12329, 540, 26673, 517, 3427, 563, 8248, 518, 8081, 568, 5458, 569, 1271, 547, 721, 267, 17033, 1317, 649, 723, 2731, 6836, 547, 1020, 513, 2631, 540, 5621, 745, 1143, 10838, 519, 1453, 269, 1656, 609, 938, 5075, 540, 10014, 267, 649, 723, 2141, 5433, 602, 649, 2731, 723, 547, 960, 2182, 593, 547, 1020, 519, 2898, 1126, 269, 1924, 649, 4312, 1185, 513, 5075, 585, 513, 1390, 1297, 540, 1296, 1631, 267, 855, 621, 781, 4947, 547, 1483, 2927, 819, 609, 938, 20150, 5149, 563, 2005, 781, 2527, 1947, 1271, 602, 519, 10361, 974, 12329, 5012, 593, 621, 2731, 267, 1317, 621, 1797, 602, 596, 2811, 4758, 707, 2631, 540, 3483, 543, 7029, 547, 5718, 693, 782, 2157, 269, 634, 835, 3364, 602, 938, 25398, 4675, 13024, 723, 1044, 547, 721, 267, 616, 3020, 3401, 267, 543, 1360, 18803, 3401, 267, 543, 1360, 9237, 3401, 267, 543, 519, 1655, 1826, 540, 3401, 1317, 789, 723, 2097, 1394, 609, 513, 2631, 540, 2208, 543, 8990, 267, 543, 2731, 5280, 721, 609, 519, 5075, 540, 13784, 1369, 519, 1153, 269, 1284, 616, 513, 1732, 8537, 267, 14156, 10995, 1153, 1317, 540, 938, 25398, 4675, 13024, 563, 5978, 25398, 8081, 10872, 814, 2731, 5280, 938, 1053, 538, 519, 20150, 5149, 585, 865, 1082, 4128, 267, 855, 519, 1034, 6654, 835, 585, 803, 267, 568, 741, 1514, 1983, 267, 543, 519, 2631, 540, 5539, 602, 649, 2285, 873, 547, 581, 851, 540, 513, 2146, 269, 1656, 602, 1249, 602, 789, 4312, 3893, 513, 3586, 5188, 269, 1656, 789, 4312, 3893, 2230, 547, 2911, 269, 5384, 568, 519, 1034, 1271, 10516, 602, 596, 666, 2285, 1453, 267, 855, 1453, 4758, 1142, 824, 2298, 942, 1932, 568, 1360, 6209, 267, 1360, 3532, 267, 543, 930, 540, 519, 1655, 3450, 8090, 602, 1453, 2479, 1205, 568, 950, 789, 616, 6026, 676, 824, 1453, 563, 10743, 723, 1831, 2484, 811, 22555, 267, 811, 8149, 547, 741, 2090, 543, 594, 849, 1589, 602, 950, 596, 2285, 513, 1126, 513, 2631, 602, 789, 4312, 3893, 547, 4001, 1776, 1126, 1945, 3116, 827, 6568, 267, 610, 827, 6947, 267, 610, 827, 3652, 267, 610, 1739, 9479, 540, 2932, 3092, 2678, 320, 267, 610, 827, 6296, 267, 621, 2731, 2337, 873, 547, 1445, 593, 1018, 789, 2811, 782, 827, 269, 0, 288, 8265, 8364, 3957, 7287, 1353, 3391, 3568, 513, 12092, 540, 512, 16612, 13275, 338, 267, 3332, 3594, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 2407, 5758, 543, 2079, 588, 534, 2917, 269, 1744, 15879, 641, 3391, 547, 513, 8265, 8364, 3957, 7287, 16502, 267, 21087, 626, 267, 23240, 267, 3391, 267, 21927, 267, 543, 1915, 5107, 1915, 1909, 2079, 676, 943, 323, 543, 18544, 1053, 689, 588, 534, 5112, 267, 3771, 10542, 269, 3399, 4974, 513, 8265, 8364, 3957, 7287, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 538, 1840, 547, 1373, 519, 2012, 540, 513, 8265, 8364, 267, 7287, 849, 269, 769, 606, 12558, 540, 519, 1138, 1186, 976, 267, 519, 3197, 3942, 513, 7574, 4528, 540, 513, 8265, 8364, 3957, 7287, 1572, 19315, 267, 8265, 8364, 7646, 268, 10458, 1229, 562, 539, 1166, 32752, 607, 588, 534, 2917, 3947, 519, 4583, 968, 560, 7578, 892, 586, 749, 563, 272, 513, 8265, 8364, 3957, 7287, 1107, 519, 3376, 3118, 6566, 328, 699, 543, 3564, 476, 272, 476, 273, 8265, 8364, 593, 519, 1158, 3942, 281, 519, 3084, 6566, 773, 637, 267, 476, 3707, 279, 1700, 4198, 274, 476, 2412, 4249, 2182, 4252, 538, 513, 3014, 540, 4638, 6214, 547, 2744, 269, 5192, 606, 2626, 585, 1412, 29171, 1380, 519, 2707, 540, 519, 1918, 13920, 1063, 1025, 534, 3832, 543, 588, 534, 2917, 538, 513, 8265, 8364, 3957, 7287, 262, 543, 1265, 6780, 948, 585, 824, 513, 8265, 8364, 3957, 7287, 2055, 693, 679, 4925, 269, 12832, 1961, 32151, 14551, 339, 7005, 476, 19740, 949, 476, 1626, 267, 476, 1001, 272, 2262, 1293, 281, 476, 276, 5325, 588, 534, 2917, 737, 578, 1023, 7288, 538, 968, 320, 8265, 1286, 3957, 7287, 892, 538, 968, 320, 8265, 1286, 3957, 7287, 892, 512, 16612, 13275, 338, 7710, 519, 562, 2137, 543, 563, 288, 8265, 8364, 3957, 7287, 568, 513, 1404, 540, 15491, 4798, 543, 3309, 3197, 609, 519, 1292, 21087, 1235, 540, 519, 1404, 267, 1025, 534, 3832, 543, 588, 534, 2917, 29689, 676, 741, 8701, 1242, 8456, 2509, 269, 589, 8265, 8364, 3957, 7287, 630, 4198, 272, 264, 10530, 593, 708, 27219, 281, 12300, 10530, 543, 15377, 689, 9413, 267, 26725, 3126, 543, 811, 269, 589, 8265, 8364, 3957, 7287, 3197, 1353, 3391, 676, 7117, 12685, 326, 7776, 2882, 476, 1626, 2055, 8720, 6863, 267, 2474, 543, 811, 28866, 15460, 267, 2238, 543, 3756, 948, 596, 2087, 707, 9344, 269, 589, 8265, 8364, 3957, 7287, 281, 588, 534, 2917, 737, 578, 1023, 7288, 538, 519, 1404, 513, 8265, 8364, 3957, 7287, 676, 512, 16612, 13275, 338, 267, 606, 1202, 17567, 543, 16970, 1915, 3957, 588, 534, 2917, 737, 578, 1023, 7288, 568, 13269, 1010, 563, 7212, 13275, 338, 779, 16502, 538, 513, 8265, 8364, 3957, 7287, 568, 519, 11509, 1025, 534, 3832, 19796, 12251, 267, 519, 1404, 568, 513, 960, 540, 1514, 17779, 1025, 534, 3832, 6941, 547, 544, 3558, 602, 1352, 4017, 338, 1317, 1352, 31439, 269, 23095, 609, 986, 6495, 25612, 331, 476, 13975, 513, 8265, 8364, 3957, 7287, 281, 588, 534, 2917, 4162, 3853, 21087, 626, 281, 1305, 1996, 1025, 534, 3832, 270, 22529, 1043, 585, 1200, 13956, 883, 1202, 534, 640, 2531, 710, 1359, 543, 1064, 612, 633, 269, 589, 8265, 8364, 3957, 7287, 6249, 540, 2367, 543, 27828, 519, 22406, 3662, 3196, 540, 21087, 626, 588, 534, 2917, 737, 578, 1023, 7288, 568, 14356, 3743, 585, 519, 21239, 540, 513, 8265, 8364, 3957, 7287, 269, 589, 8265, 8364, 3957, 7287, 2278, 6915, 2407, 2012, 281, 28114, 26816, 1512, 13275, 338, 25831, 4050, 2012, 281, 512, 16612, 13275, 338, 21087, 626, 281, 588, 534, 2917, 737, 578, 1023, 7288, 3140, 543, 5339, 2796, 950, 2854, 281, 476, 3707, 277, 268, 278, 563, 288, 1592, 540, 782, 519, 3197, 538, 513, 8265, 8364, 3957, 7287, 519, 513, 8265, 8364, 3957, 7287, 3197, 4988, 1331, 281, 1025, 534, 3832, 19796, 12251, 267, 588, 7578, 737, 578, 1023, 7288, 267, 588, 534, 2917, 737, 578, 1023, 7288, 267, 3771, 1245, 968, 2466, 577, 892, 5378, 23025, 269, 1548, 1281, 13275, 779, 26841, 540, 1025, 534, 3832, 543, 588, 534, 2917, 779, 2729, 2161, 827, 7287, 910, 513, 8265, 8364, 3957, 7287, 1557, 4367, 519, 31075, 814, 7307, 547, 1305, 519, 1641, 585, 713, 1404, 676, 269, 7629, 16272, 616, 607, 3844, 547, 519, 1568, 540, 512, 16612, 13275, 338, 607, 789, 616, 547, 519, 1272, 540, 1025, 534, 3832, 19796, 12251, 267, 855, 972, 568, 4986, 2192, 639, 800, 827, 519, 9029, 540, 513, 8265, 8364, 3957, 7287, 543, 922, 269, 8191, 1944, 1686, 281, 6408, 1436, 538, 513, 8265, 8364, 3957, 7287, 2278, 4433, 2567, 606, 8619, 642, 20393, 641, 565, 657, 2278, 1944, 1686, 281, 6408, 1436, 538, 513, 8265, 8364, 3957, 7287, 8396, 799, 646, 3947, 721, 563, 1103, 512, 16612, 13275, 338, 1404, 513, 8265, 8364, 3957, 7287, 1079, 540, 519, 1292, 3197, 588, 534, 2917, 543, 1025, 534, 3832, 6414, 1836, 28586, 1142, 824, 267, 741, 3604, 5555, 18700, 883, 588, 534, 2917, 781, 22149, 269, 589, 8265, 8364, 3957, 7287, 268, 588, 534, 2917, 588, 534, 2917, 781, 2571, 2427, 1909, 538, 1404, 910, 588, 534, 2917, 568, 519, 21087, 626, 538, 8265, 8364, 4352, 693, 519, 1376, 267, 646, 666, 581, 2938, 607, 606, 552, 6549, 9107, 5869, 1813, 547, 1373, 10121, 269, 17906, 13275, 338, 685, 513, 8265, 8364, 3957, 7287, 5932, 835, 540, 519, 1034, 8966, 21087, 1235, 538, 7819, 12416, 588, 534, 2917, 737, 578, 1023, 7288, 814, 519, 3501, 267, 6126, 1272, 1354, 1010, 11078, 2987, 25237, 2982, 909, 547, 269, 910, 513, 8265, 8364, 3957, 7287, 568, 513, 1404, 540, 15491, 4798, 543, 3309, 3197, 609, 519, 1292, 21087, 1235, 540, 519, 1404, 267, 1025, 534, 3832, 543, 588, 534, 2917, 29689, 676, 741, 8701, 1242, 8456, 2509, 563, 294, 650, 1014, 543, 3205, 4249, 1025, 534, 3832, 543, 1649, 6536, 4249, 588, 534, 2917, 538, 513, 8265, 8364, 3957, 7287, 630, 15100, 22788, 11276, 530, 565, 742, 264, 804, 1046, 781, 8654, 3587, 1776, 21087, 626, 538, 519, 1404, 267, 2367, 5217, 1025, 534, 3832, 781, 23156, 26569, 269, 589, 8265, 8364, 3957, 7287, 513, 8265, 8364, 3957, 7287, 476, 277, 795, 2317, 476, 1001, 278, 1480, 8754, 267, 17051, 544, 17532, 609, 16543, 267, 543, 2818, 540, 1114, 6803, 2516, 1404, 533, 20269, 543, 12826, 1927, 588, 534, 2917, 267, 519, 269, 26304, 568, 513, 16602, 21087, 626, 267, 607, 649, 1865, 538, 811, 1469, 538, 1010, 1915, 2079, 267, 1317, 649, 666, 1294, 875, 1025, 534, 3832, 21087, 3278, 1864, 267, 1932, 630, 1492, 2898, 22457, 27325, 3364, 543, 3843, 547, 269, 0, 314, 273, 320, 6246, 324, 271, 316, 910, 721, 2229, 26549, 3803, 981, 1353, 3391, 1376, 4974, 7819, 2229, 3803, 981, 1353, 3391, 1451, 6863, 2474, 543, 811, 609, 15460, 3756, 543, 824, 1353, 2645, 7819, 269, 3399, 4974, 7819, 2229, 3803, 981, 1353, 3391, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 3371, 568, 519, 1655, 4199, 585, 6780, 948, 609, 27666, 476, 6200, 271, 2433, 7819, 2229, 693, 1259, 928, 1533, 6280, 1265, 27666, 6200, 271, 1353, 10274, 267, 4967, 267, 543, 2259, 4255, 269, 2974, 2229, 543, 6214, 938, 1353, 10274, 616, 2139, 2228, 543, 538, 1433, 1106, 693, 3046, 5886, 663, 333, 984, 548, 1260, 7819, 2229, 4367, 547, 7819, 2229, 269, 1496, 278, 323, 4343, 273, 277, 316, 910, 7819, 2229, 26549, 1353, 3391, 1376, 4974, 26549, 7819, 2229, 1353, 3391, 4571, 3410, 1451, 6863, 2474, 543, 811, 609, 15460, 3756, 543, 824, 1353, 2645, 563, 2252, 596, 616, 10478, 585, 513, 1433, 3803, 981, 1353, 3391, 7819, 2229, 538, 7824, 1106, 267, 538, 602, 2013, 7819, 1686, 26549, 721, 2229, 3803, 981, 1547, 910, 593, 1353, 3391, 1451, 609, 15460, 267, 3756, 267, 543, 811, 2443, 585, 1863, 2845, 538, 1129, 909, 2845, 538, 1129, 909, 476, 4375, 2474, 546, 6831, 1662, 7819, 2229, 26549, 3803, 981, 1547, 5530, 15460, 593, 721, 2229, 3803, 981, 2689, 693, 16081, 1260, 3533, 27655, 519, 2474, 267, 2453, 543, 1454, 811, 16081, 1260, 2306, 621, 2653, 547, 1205, 519, 3446, 596, 1616, 563, 8702, 547, 26549, 7819, 2229, 1353, 3391, 734, 322, 2753, 23118, 543, 5480, 2665, 7688, 3758, 476, 1321, 270, 1428, 284, 325, 1400, 981, 630, 7224, 23614, 687, 1040, 15937, 981, 1353, 3391, 26549, 281, 4367, 547, 7819, 2229, 281, 1641, 281, 2797, 2257, 281, 519, 2856, 602, 7819, 2229, 729, 1759, 2390, 16431, 711, 1496, 23486, 316, 1750, 11803, 521, 1015, 476, 1001, 279, 7816, 8261, 23486, 269, 6554, 3803, 1353, 3391, 4267, 23486, 476, 1321, 628, 3446, 721, 2229, 630, 10175, 26549, 264, 1353, 3391, 1106, 476, 6344, 272, 2985, 476, 272, 540, 476, 278, 5614, 476, 1220, 274, 7819, 2229, 1547, 15937, 1353, 3391, 2228, 1837, 1753, 32597, 543, 10950, 547, 26549, 7819, 2229, 1775, 723, 1044, 3450, 1514, 2090, 693, 552, 26387, 2094, 476, 1220, 273, 563, 2080, 616, 513, 1906, 5363, 4388, 547, 1832, 538, 2247, 607, 596, 1413, 998, 891, 3284, 2229, 4967, 2766, 1681, 707, 1353, 2994, 547, 519, 2497, 540, 519, 6437, 543, 519, 3898, 540, 1449, 2055, 568, 519, 1101, 1900, 2509, 15980, 513, 1164, 3284, 6060, 269, 1977, 2229, 26549, 270, 756, 3803, 981, 1353, 3391, 4571, 3410, 1344, 476, 736, 2055, 13338, 1686, 476, 276, 2055, 12755, 540, 519, 4930, 540, 1476, 539, 3130, 269, 5530, 15460, 543, 4967, 689, 32550, 5866, 5691, 1153, 1053, 19432, 776, 610, 7269, 776, 2229, 3527, 543, 1946, 476, 272, 546, 9346, 1353, 3391, 910, 7005, 476, 273, 1547, 12968, 832, 9297, 3803, 24713, 344, 3391, 519, 3803, 786, 581, 513, 7848, 540, 2789, 3903, 543, 12805, 2055, 630, 5197, 264, 519, 1739, 1570, 786, 581, 4988, 593, 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 ]
[ 276, 476, 1240, 281, 2537, 281, 866, 910, 31239, 271, 994, 5591, 5399, 11673, 1336, 563, 305, 908, 30182, 281, 3143, 16863, 563, 3674, 713, 596, 888, 289, 22877, 513, 7732, 1320, 532, 8191, 269, 0, 3412, 704, 658, 1133, 1881, 3427, 10588, 2257, 3610, 5916, 4496, 267, 12285, 543, 824, 2326, 547, 1294, 952, 789, 786, 10581, 538, 513, 1565, 3635, 1282, 519, 14374, 2861, 8921, 19087, 3163, 2866, 693, 519, 15875, 4400, 3427, 7732, 593, 13638, 267, 4864, 476, 277, 267, 476, 1001, 274, 269, 15875, 2257, 3610, 23384, 1614, 2395, 540, 2866, 607, 851, 540, 513, 11450, 609, 519, 10001, 4629, 303, 543, 772, 5425, 291, 269, 11682, 5588, 302, 2910, 7838, 307, 2464, 312, 5508, 808, 308, 3198, 595, 21283, 5308, 454, 3412, 704, 658, 267, 2836, 604, 269, 2443, 2755, 1034, 1053, 616, 1869, 593, 4832, 2736, 3610, 616, 2907, 1394, 547, 960, 543, 3478, 4712, 585, 519, 14232, 1153, 1032, 563, 288, 1895, 540, 24369, 15875, 1133, 1881, 3427, 10588, 3610, 10356, 693, 519, 15875, 4400, 3427, 5399, 547, 4309, 2866, 602, 786, 1683, 873, 609, 811, 2645, 547, 4001, 2257, 538, 741, 13460, 563, 1607, 1614, 1554, 2866, 4564, 519, 14736, 4752, 540, 606, 14021, 5698, 543, 11450, 1063, 519, 15875, 1133, 1881, 3427, 10588, 543, 519, 15875, 9503, 13636, 27706, 5358, 607, 519, 10001, 4629, 303, 2337, 519, 8664, 3343, 2200, 543, 7616, 547, 948, 519, 594, 4785, 291, 779, 4359, 2257, 1565, 3255, 585, 3610, 267, 1053, 543, 519, 2146, 269, 901, 568, 851, 540, 519, 5571, 5698, 1063, 519, 15875, 1153, 8664, 543, 519, 10001, 4629, 303, 799, 814, 4797, 2429, 519, 2250, 1032, 538, 1931, 547, 2417, 2257, 1565, 563, 9961, 519, 3018, 267, 594, 4785, 291, 2257, 3610, 723, 1044, 1565, 827, 519, 2257, 540, 7791, 1648, 267, 14374, 2861, 1565, 543, 723, 4607, 606, 10066, 593, 519, 14232, 8921, 19087, 3163, 11621, 269, 634, 3803, 1554, 540, 519, 2866, 19411, 730, 13628, 693, 519, 1234, 889, 523, 670, 269, 18307, 564, 7467, 543, 519, 7849, 3778, 7467, 538, 5842, 17630, 269, 11334, 1185, 519, 4316, 547, 1451, 689, 3318, 9754, 8858, 9367, 593, 1018, 621, 3217, 547, 1020, 7317, 2257, 15225, 543, 875, 547, 3895, 3946, 593, 267, 14374, 2861, 1565, 3255, 563, 3412, 704, 658, 1133, 1881, 3427, 10588, 8111, 23734, 550, 23436, 21741, 732, 345, 12034, 1871, 538, 713, 2866, 543, 519, 11450, 3255, 269, 21741, 732, 345, 1767, 1352, 568, 9599, 827, 519, 4316, 547, 7649, 609, 1312, 519, 10001, 4629, 303, 543, 519, 2160, 540, 4993, 5842, 17630, 968, 1729, 1711, 3532, 2257, 1565, 3255, 585, 938, 1053, 3034, 2108, 17809, 4575, 4143, 4116, 2866, 899, 713, 568, 606, 1271, 1900, 538, 28006, 547, 519, 5871, 11759, 543, 8921, 19087, 3163, 11621, 2223, 21741, 732, 345, 1767, 269, 968, 5978, 1053, 991, 547, 1995, 2565, 3206, 2238, 543, 960, 593, 741, 2565, 3206, 1983, 1169, 1554, 3034, 7628, 519, 2866, 267, 2199, 3610, 1767, 789, 10150, 519, 4316, 547, 5721, 1927, 543, 1445, 593, 3621, 1565, 563, 10527, 2866, 568, 1434, 585, 1022, 4116, 540, 2257, 2223, 1767, 15875, 4400, 3427, 4116, 667, 12447, 18582, 2125, 267, 945, 13984, 519, 2866, 2059, 609, 824, 3610, 1519, 1010, 7015, 267, 8355, 18582, 2125, 563, 10527, 4441, 798, 711, 2731, 979, 538, 547, 875, 547, 4001, 513, 3992, 2223, 1767, 667, 12447, 18582, 2125, 269, 968, 1607, 2866, 814, 4847, 721, 547, 3914, 513, 4313, 1377, 547, 10994, 519, 17707, 540, 5871, 11759, 543, 519, 8921, 19087, 3163, 11621, 3034, 10527, 12557, 540, 519, 2866, 814, 1044, 2731, 1434, 2223, 1767, 8355, 18582, 2125, 267, 513, 2257, 4116, 693, 5484, 670, 592, 572, 16504, 269, 968, 288, 1895, 540, 721, 630, 974, 18291, 264, 593, 519, 20570, 18630, 9730, 723, 2907, 6192, 2947, 4245, 269, 1284, 786, 1491, 1018, 649, 723, 4121, 543, 1118, 11941, 585, 2296, 5678, 22996, 3034, 13828, 3610, 1767, 789, 5433, 5393, 9415, 543, 6462, 676, 15875, 1133, 1881, 779, 4287, 547, 1489, 891, 3646, 563, 2414, 2417, 891, 3646, 267, 519, 15875, 1133, 1881, 10588, 568, 4867, 2324, 593, 513, 1544, 547, 1065, 17123, 519, 1631, 6806, 4639, 2515, 3427, 13464, 607, 513, 2146, 2257, 543, 3163, 267, 5303, 267, 7177, 543, 9119, 630, 23727, 264, 1565, 4099, 563, 763, 10001, 4629, 303, 568, 25640, 609, 519, 8664, 676, 26936, 713, 2104, 1788, 609, 519, 8664, 779, 3853, 563, 763, 10001, 4629, 303, 568, 849, 11179, 2324, 609, 519, 2817, 3163, 7690, 593, 20547, 3803, 2055, 593, 513, 9886, 11556, 602, 786, 1683, 3610, 538, 15875, 609, 2257, 2866, 267, 1246, 5346, 1489, 543, 1983, 547, 4434, 2257, 1565, 585, 1053, 543, 519, 2146, 563, 2108, 4353, 4629, 303, 568, 20938, 547, 7649, 909, 609, 15875, 1133, 1881, 543, 649, 1413, 4464, 547, 14304, 519, 4540, 10319, 609, 519, 8664, 2223, 1767, 10001, 4629, 303, 3955, 574, 8111, 23734, 550, 3798, 7773, 744, 6199, 325, 749, 563, 4353, 4629, 303, 9027, 919, 519, 9886, 689, 519, 2817, 3163, 7690, 786, 581, 13752, 28069, 538, 4864, 476, 1001, 274, 269, 0, 291, 262, 329, 1551, 553, 941, 513, 645, 1994, 534, 22634, 1062, 1031, 1282, 1454, 540, 645, 1994, 534, 1686, 269, 634, 1062, 2813, 513, 14404, 1881, 1514, 15796, 1141, 3025, 729, 4535, 883, 513, 1808, 22634, 1759, 593, 741, 1920, 267, 799, 5462, 741, 13567, 543, 1514, 4567, 269, 16840, 540, 2362, 8573, 21403, 667, 262, 329, 1551, 553, 941, 5701, 609, 2463, 543, 1219, 2397, 676, 1346, 540, 2539, 16034, 563, 763, 667, 262, 329, 1551, 553, 941, 14460, 16172, 1310, 519, 4098, 540, 519, 20431, 566, 540, 645, 1994, 950, 782, 645, 1994, 753, 941, 2877, 547, 1831, 7980, 547, 5391, 4733, 741, 1753, 16447, 689, 519, 9315, 817, 2103, 269, 634, 1062, 729, 711, 2847, 1882, 1739, 519, 9315, 817, 1014, 15639, 267, 2094, 1932, 1082, 1004, 941, 1631, 7900, 6009, 2484, 1114, 689, 741, 667, 262, 329, 1551, 553, 563, 15987, 711, 606, 7357, 796, 4186, 7337, 658, 3375, 267, 621, 729, 711, 3648, 13934, 2394, 476, 26801, 273, 267, 950, 519, 476, 2420, 526, 2540, 645, 1994, 534, 10564, 13019, 648, 332, 5487, 534, 8120, 593, 4580, 1010, 8279, 1222, 689, 519, 22966, 17155, 13527, 269, 13019, 648, 332, 729, 13713, 7608, 607, 519, 2506, 1170, 776, 540, 519, 11330, 515, 1206, 543, 5368, 26061, 519, 667, 262, 21186, 571, 1062, 607, 835, 540, 1010, 1101, 6411, 607, 2506, 1170, 776, 269, 901, 3375, 17275, 513, 1390, 4308, 540, 3540, 19727, 543, 7130, 593, 645, 1994, 269, 589, 4580, 12213, 6611, 476, 280, 267, 28174, 2131, 5800, 320, 23689, 513, 642, 539, 2131, 689, 519, 1955, 583, 3279, 22634, 585, 32222, 547, 29997, 1317, 1010, 667, 262, 21186, 571, 3238, 8600, 519, 4666, 585, 19746, 543, 729, 4061, 9968, 6053, 11515, 534, 563, 763, 8628, 2132, 540, 519, 667, 262, 329, 1551, 553, 1131, 723, 849, 7142, 645, 1994, 781, 21936, 547, 6443, 519, 18966, 547, 581, 556, 3887, 1998, 18050, 267, 2094, 519, 15080, 540, 519, 18966, 3046, 1042, 15376, 547, 1022, 1158, 609, 513, 22634, 1062, 269, 901, 729, 14284, 950, 519, 11330, 515, 1206, 8120, 13019, 648, 332, 5487, 534, 547, 1010, 1378, 942, 267, 18148, 590, 7416, 334, 1427, 809, 519, 2140, 540, 2506, 1170, 776, 267, 543, 519, 667, 262, 329, 1551, 553, 941, 14460, 2899, 1586, 563, 763, 1739, 568, 513, 9864, 1592, 540, 667, 262, 21186, 571, 543, 741, 16977, 3448, 31213, 912, 268, 594, 327, 262, 341, 718, 320, 630, 691, 1235, 994, 268, 1855, 262, 333, 926, 630, 684, 4385, 994, 268, 21007, 1405, 3626, 630, 1067, 577, 1218, 543, 2244, 14935, 994, 268, 28446, 1405, 601, 334, 630, 335, 559, 1824, 267, 25501, 267, 10256, 267, 543, 2147, 22825, 994, 268, 3223, 262, 3271, 320, 630, 18350, 648, 3464, 543, 1876, 5443, 994, 268, 590, 1716, 262, 23981, 630, 684, 4385, 994, 268, 1955, 583, 3279, 630, 29006, 945, 4308, 609, 519, 4666, 267, 2808, 834, 684, 30236, 8442, 0, 3519, 24503, 730, 6931, 1961, 545, 18729, 994, 3519, 24503, 730, 13274, 1961, 545, 3679, 630, 290, 6369, 264, 568, 513, 5594, 12012, 1106, 540, 519, 1898, 26102, 476, 277, 9761, 3679, 267, 13274, 1961, 545, 3679, 543, 568, 6923, 1624, 1005, 538, 5779, 267, 10683, 2472, 267, 16738, 543, 5798, 269, 2271, 13656, 4551, 13754, 1047, 595, 6369, 689, 13274, 1961, 545, 3679, 2073, 4352, 972, 568, 1100, 2963, 602, 7110, 532, 15829, 4679, 2157, 540, 595, 6369, 538, 519, 1973, 563, 1432, 621, 1281, 454, 763, 1599, 540, 595, 6369, 568, 711, 2312, 4352, 621, 568, 606, 4550, 268, 31038, 656, 543, 5526, 547, 723, 513, 1909, 538, 3170, 10307, 543, 3940, 10282, 269, 898, 949, 723, 8825, 2360, 1996, 28115, 894, 3676, 563, 290, 6369, 949, 581, 3730, 585, 9845, 543, 1004, 945, 3635, 5781, 607, 621, 2337, 2333, 4222, 267, 2149, 1996, 19842, 2566, 543, 949, 2333, 519, 2702, 547, 946, 6740, 3170, 585, 1648, 563, 23744, 267, 972, 616, 1100, 2427, 2360, 610, 15333, 23949, 10716, 689, 1210, 595, 6369, 563, 4263, 519, 942, 540, 1603, 972, 941, 1100, 1134, 1634, 2942, 3075, 4205, 609, 595, 6369, 269, 0, 12041, 4433, 2567, 4223, 8759, 645, 267, 24381, 714, 808, 299, 267, 595, 2544, 30944, 808, 300, 267, 30781, 548, 345, 294, 4150, 2998, 808, 267, 30781, 548, 345, 623, 454, 20082, 9523, 713, 2985, 454, 20082, 1280, 1082, 3173, 621, 568, 1869, 2352, 547, 3398, 602, 6225, 2360, 666, 581, 5833, 538, 1896, 2068, 2829, 609, 519, 14724, 11254, 3679, 267, 25026, 710, 269, 1717, 267, 2963, 568, 20387, 538, 12797, 540, 713, 2856, 269, 898, 568, 1631, 2312, 602, 8192, 25026, 710, 14014, 1996, 8710, 3361, 2901, 676, 1973, 2530, 610, 24690, 28845, 267, 6971, 4568, 2157, 538, 519, 7181, 543, 10607, 6051, 689, 23931, 17537, 267, 11527, 8460, 6797, 5945, 3361, 676, 14817, 25570, 5061, 543, 7161, 23553, 1591, 2669, 543, 6971, 519, 26669, 549, 1729, 13877, 640, 3361, 676, 519, 3075, 7814, 30950, 514, 589, 538, 519, 8459, 267, 7303, 3834, 2135, 807, 543, 1863, 9097, 5250, 269, 898, 1223, 581, 849, 3730, 538, 824, 12982, 3676, 2094, 621, 11527, 8460, 29299, 2504, 269, 1284, 2689, 930, 540, 519, 6225, 2360, 540, 25026, 710, 543, 741, 3743, 7271, 267, 799, 1223, 3366, 547, 5796, 922, 946, 538, 519, 3797, 540, 1114, 3676, 563, 1607, 2376, 729, 3370, 538, 25326, 337, 9869, 454, 663, 26518, 538, 14997, 864, 583, 3821, 8890, 339, 3821, 2920, 320 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3483, 540, 513, 1382, 1957, 568, 547, 1683, 930, 1239, 610, 1344, 267, 23679, 689, 513, 6325, 2707, 267, 538, 971, 513, 6073, 621, 666, 581, 1031, 538, 1489, 540, 606, 4661, 269, 1677, 930, 267, 713, 4667, 5266, 2653, 543, 519, 1382, 1957, 5830, 666, 1376, 21882, 741, 4574, 1360, 3533, 269, 1677, 1866, 267, 1603, 1382, 4574, 602, 616, 4396, 543, 786, 1796, 909, 547, 9263, 6268, 3217, 942, 267, 2259, 543, 9639, 269, 4107, 1004, 786, 3858, 602, 519, 1034, 25133, 1382, 4574, 616, 2854, 676, 1004, 602, 666, 1694, 1524, 543, 8495, 513, 1966, 267, 25666, 513, 8367, 543, 1287, 2322, 782, 540, 519, 5013, 1927, 547, 6166, 602, 3069, 269, 2290, 540, 519, 1034, 1271, 5759, 602, 1382, 1957, 5830, 991, 547, 723, 568, 1373, 2111, 547, 27043, 782, 519, 1898, 1239, 543, 1344, 547, 1489, 741, 1378, 4661, 563, 16449, 519, 3355, 3268, 602, 1382, 1957, 4589, 1590, 1491, 568, 547, 5531, 930, 1344, 269, 1703, 616, 1896, 1114, 2200, 799, 666, 581, 1031, 547, 1489, 513, 1880, 3069, 269, 4841, 1058, 1382, 519, 1888, 789, 786, 581, 1603, 827, 607, 2484, 607, 2009, 269, 901, 2882, 711, 1152, 2542, 2835, 543, 824, 2854, 2326, 593, 519, 1641, 267, 855, 849, 3257, 5680, 19707, 543, 1256, 6158, 547, 1004, 945, 1522, 723, 811, 1702, 982, 519, 20194, 563, 763, 1985, 1900, 585, 1382, 1957, 4589, 1131, 581, 547, 2445, 782, 1239, 602, 789, 666, 602, 786, 948, 547, 1489, 741, 1378, 4661, 269, 901, 1281, 711, 8209, 24901, 602, 519, 20194, 2731, 2115, 782, 519, 1239, 2786, 2476, 269, 898, 2356, 1797, 602, 519, 2875, 1058, 5531, 607, 1454, 1239, 607, 568, 1898, 547, 2253, 519, 1184, 540, 2679, 606, 4661, 269, 2991, 519, 1344, 729, 10356, 267, 621, 1058, 581, 19040, 543, 6896, 865, 602, 519, 2875, 666, 3313, 519, 1239, 799, 568, 1034, 4143, 547, 519, 1888, 540, 519, 1353, 1957, 563, 3080, 540, 519, 1034, 2629, 18125, 540, 1382, 4574, 568, 547, 581, 1978, 602, 972, 568, 2178, 543, 17396, 1603, 269, 898, 5205, 602, 1382, 4574, 12582, 1406, 581, 4904, 609, 11991, 6445, 518, 1913, 269, 13298, 267, 519, 1957, 1058, 581, 2854, 538, 513, 2312, 543, 13801, 6073, 269, 3194, 4574, 5749, 1406, 10924, 547, 581, 1932, 2182, 547, 1224, 282, 3079, 267, 789, 1058, 581, 2241, 547, 1224, 543, 10146, 2094, 602, 568, 1018, 519, 1382, 729, 2919, 2323, 30004, 632, 533, 2632, 340, 659, 7776, 632, 1257, 334, 547, 581, 269, 3509, 1053, 1265, 621, 2182, 547, 1174, 1950, 6436, 602, 616, 4843, 538, 1382, 4574, 593, 2272, 10259, 2638, 540, 519, 4430, 946, 540, 1913, 538, 519, 1353, 563, 2026, 1382, 1957, 5830, 267, 621, 568, 1898, 585, 1053, 547, 3314, 602, 519, 1353, 1957, 568, 711, 1152, 1776, 2186, 540, 1603, 269, 13298, 267, 519, 1382, 1957, 568, 9277, 547, 581, 1224, 267, 6956, 267, 543, 8246, 538, 513, 1808, 1259, 269, 4841, 991, 547, 581, 6297, 547, 711, 946, 519, 1353, 585, 513, 1259, 547, 2769, 2933, 538, 606, 6644, 610, 547, 1683, 606, 6644, 827, 1945, 789, 4076, 21503, 269, 5502, 267, 1053, 1058, 5402, 8415, 519, 1353, 538, 513, 1259, 602, 519, 1353, 729, 5921, 547, 946, 563, 3080, 540, 519, 7887, 9073, 602, 1382, 1957, 4589, 4749, 1118, 568, 547, 1376, 1603, 519, 1353, 1991, 547, 519, 1603, 814, 8737, 269, 1677, 2322, 621, 8335, 267, 1082, 10453, 786, 1376, 1603, 519, 1382, 1101, 543, 1287, 6108, 513, 8101, 7274, 540, 942, 11049, 519, 1353, 1310, 621, 568, 2854, 269, 634, 1439, 1267, 568, 513, 1382, 1957, 602, 568, 2901, 1932, 3551, 610, 1932, 1950, 547, 1294, 269, 901, 568, 513, 1713, 12161, 269, 5502, 267, 519, 2875, 1058, 12575, 1312, 519, 3312, 1382, 543, 519, 22423, 1353, 1310, 519, 3355, 2090, 723, 1044, 2854, 269, 901, 5849, 602, 519, 1353, 568, 538, 1899, 609, 1018, 729, 7620, 7768, 543, 2337, 519, 2875, 1451, 875, 547, 5265, 13712, 519, 2959, 1031, 538, 519, 1353, 1957, 269, 0, 763, 1646, 267, 2866, 267, 543, 3498, 540, 6620, 585, 3684, 1565, 602, 18082, 3280, 3664, 1759, 593, 3015, 5013, 616, 1634, 607, 519, 3642, 2203, 563, 2691, 621, 2501, 547, 1843, 7020, 3642, 3631, 267, 519, 1184, 540, 10655, 267, 2866, 267, 543, 10442, 519, 2203, 3587, 646, 8157, 1510, 1022, 1489, 689, 1022, 1239, 2866, 3760, 563, 3719, 798, 596, 917, 596, 666, 5721, 707, 1843, 7020, 609, 6997, 11839, 337, 609, 1390, 6111, 543, 8897, 286, 654, 1180, 1359, 875, 286, 3367, 856, 519, 2347, 5816, 547, 1205, 2143, 1344, 2336, 4131, 779, 1101, 1174, 267, 1548, 568, 8629, 7020, 888, 288, 2780, 5075, 2029, 1572, 1843, 7020, 2337, 12398, 543, 2697, 1919, 538, 606, 3239, 610, 3381, 269, 1677, 581, 811, 5730, 267, 1843, 7020, 5932, 3808, 532, 10833, 782, 1472, 3688, 621, 814, 1336, 267, 3850, 721, 547, 3313, 741, 4087, 3330, 630, 528, 875, 789, 1847, 2066, 264, 513, 6429, 563, 6524, 649, 3136, 267, 621, 781, 2629, 547, 1118, 519, 21441, 1063, 1843, 7020, 543, 4605, 6284, 2312, 607, 789, 616, 3006, 3765, 6247, 29471, 563, 2304, 3239, 568, 2016, 513, 6003, 998, 3239, 8760, 269, 634, 2262, 834, 27594, 257, 568, 1031, 547, 4766, 606, 3239, 540, 513, 2915, 269, 634, 2262, 834, 27594, 257, 568, 1869, 1031, 547, 4766, 606, 3239, 540, 1079, 666, 1149, 563, 6944, 337, 3320, 267, 1843, 7020, 27788, 1142, 2915, 609, 513, 4216, 602, 568, 13042, 834, 27594, 1701, 634, 2203, 23004, 519, 4087, 540, 1142, 1843, 543, 519, 3617, 6003, 269, 9182, 267, 1843, 7020, 3091, 811, 3877, 827, 513, 4605, 982, 1843, 6284, 563, 1692, 568, 1843, 7020, 5340, 888, 23744, 6340, 267, 1843, 7020, 568, 5258, 883, 1079, 5933, 912, 268, 23618, 832, 585, 3615, 538, 835, 3942, 454, 268, 8629, 22572, 609, 1079, 5933, 454, 23777, 1227, 267, 2620, 1565, 2861, 1843, 22572, 1491, 2934, 856, 540, 519, 3403, 4605, 610, 3381, 7406, 269, 5565, 811, 6009, 616, 17251, 676, 606, 1843, 18785, 912, 307, 2532, 476, 272, 281, 700, 11229, 1022, 7274, 540, 3688, 630, 16673, 2041, 1256, 476, 271, 1070, 543, 454, 307, 2532, 476, 273, 281, 23037, 1169, 2582, 1843, 883, 513, 7121, 543, 1205, 922, 3808, 532, 4216, 2450, 269, 1411, 666, 7941, 1346, 26050, 883, 1079, 5933, 547, 1118, 519, 5650, 4443, 269, 4033, 2553, 267, 799, 2832, 547, 2333, 2773, 693, 519, 13258, 540, 6111, 267, 11753, 1312, 4247, 883, 513, 2582, 1900, 630, 338, 17532, 22533, 22572, 1916, 306, 17532, 22533, 22572, 9472, 3808, 532, 10833, 2066, 519, 2592, 1510, 513, 3148, 11556, 1900, 269, 5221, 621, 3217, 1447, 942, 267, 713, 1505, 666, 581, 4294, 538, 1483, 6066, 7653, 269, 2290, 22533, 1843, 22572, 3870, 23221, 3432, 543, 616, 5393, 2656, 267, 855, 789, 6560, 547, 10646, 1063, 513, 4015, 540, 1507, 3688, 610, 3615, 609, 9642, 5546, 563, 763, 962, 5357, 302, 267, 9399, 291, 267, 1299, 4825, 2088, 15187, 616, 519, 1034, 4922, 1031, 835, 22533, 22572, 269, 634, 1034, 2487, 1483, 6066, 22572, 616, 962, 5357, 3036, 543, 962, 5357, 302, 341, 275, 4149, 322, 4705, 630, 1708, 271, 1040, 630, 1708, 272, 1040, 7348, 519, 16198, 540, 14541, 12201, 2630, 269, 634, 4909, 4324, 540, 2582, 22533, 6620, 568, 602, 789, 616, 3335, 5488, 543, 811, 29765, 4056, 12147, 982, 3818, 22533, 22572, 563, 10521, 22533, 1843, 22572, 1683, 4114, 574, 894, 1843, 2127, 9001, 2620, 2934, 1354, 971, 2934, 616, 6964, 585, 519, 8760, 543, 3808, 532, 4216, 585, 519, 1843, 11134, 563, 268, 634, 1079, 22533, 1374, 6238, 609, 519, 11556, 540, 606, 1843, 3148, 1210, 2757, 2780, 5075, 2553, 610, 2620, 5121, 543, 1287, 7575, 593, 547, 1843, 8760, 1210, 3808, 532, 1532, 2135, 9695, 1759, 593, 2934, 3144, 689, 519, 6700, 3148, 563, 268, 634, 5021, 7020, 6111, 568, 6913, 676, 1079, 22533, 4485, 267, 799, 616, 1419, 14887, 269, 634, 2773, 630, 325, 1186, 264, 568, 17071, 547, 835, 22533, 22572, 1317, 540, 519, 1896, 23221, 5933, 2838, 585, 1142, 3239, 563, 268, 634, 16323, 28708, 531, 8849, 3060, 630, 13612, 13585, 264, 4754, 11457, 547, 674, 2120, 681, 4211, 13585, 610, 631, 2532, 681, 4211, 13585, 267, 799, 568, 835, 540, 1082, 1079, 22533, 22572, 269, 634, 11491, 4327, 25846, 13585, 568, 519, 1034, 2487, 4720, 630, 294, 7304, 290, 13585, 1916, 268, 5565, 22533, 1843, 22572, 12398, 513, 3148, 540, 1719, 1101, 267, 1287, 19665, 519, 5186, 5529, 3148, 1210, 621, 269, 1717, 267, 1813, 547, 5186, 6137, 1373, 513, 1875, 1673, 27075, 4192, 1184, 267, 971, 3818, 22533, 21697, 616, 3335, 711, 1439, 3562, 15134, 5721, 762, 563, 32086, 707, 1843, 7020, 3642, 2203, 609, 6997, 11839, 337, 20620, 7476, 707, 14449, 4712, 454, 20058, 267, 2845, 538, 547, 6997, 11839, 337, 779, 3760, 543, 1711, 513, 29683, 593, 938, 3760, 269, 2991, 10024, 519, 21686, 4580, 1858, 267, 2824, 519, 4781, 547, 1711, 513, 1007, 1788, 269, 3767, 267, 979, 6619, 543, 2824, 519, 2010, 540, 14449, 602, 596, 1616, 547, 946, 585, 707, 1788, 563, 2791, 666, 1205, 1585, 14449, 3681, 547, 3442, 689, 971, 607, 2592, 267, 8301, 267, 7044, 267, 1257, 267, 6054, 267, 543, 2520, 2214, 7652, 563, 2791, 666, 14202, 707, 1239, 1305, 689, 1022, 4087, 2436, 621, 581, 707, 3926, 267, 24440, 5397, 267, 6531, 4859, 267, 3092, 269, 3767, 267, 1310, 14202, 532, 707, 1239, 267, 2012, 519, 1239, 1305, 543, 1711, 513, 10471, 269, 1403, 596, 616, 606, 2907, 4540, 3593, 267, 1287, 596, 666, 2824, 689, 519, 6740, 10471, 563, 307, 1778, 707, 2203, 454, 307, 1778, 707, 1239, 609, 6997, 11839, 337, 454, 8505, 558, 622, 1022, 3239, 14391, 566, 1788, 538, 513, 1906, 30390, 547, 4688, 942, 543, 2569, 1942, 563, 5475, 14202, 532, 707, 1239, 267, 519, 1985, 1900, 568, 547, 5721, 519, 3642, 2203, 269, 1280, 602, 267, 519, 6662, 568, 547, 3132, 3615, 543, 28944, 4470, 593, 519, 21458, 16551, 563, 2791, 666, 979, 547, 519, 2048, 16932, 685, 4781, 267, 1985, 547, 519, 21686, 4580, 269, 3399, 2870, 707, 10959, 610, 946, 606, 4540, 10959, 563, 3086, 267, 1039, 3615, 543, 28944, 1759, 593, 707, 1788, 779, 4170, 269, 2755, 596, 616, 14391, 908, 707, 1239, 267, 596, 1205, 3670, 2010, 540, 14391, 725, 971, 607, 912, 272, 269, 645, 15929, 13340, 454, 2304, 3606, 4183, 540, 938, 1907, 568, 602, 596, 666, 1039, 4808, 2059, 609, 930, 8760, 8164, 2838, 269, 1411, 849, 1205, 606, 4781, 547, 798, 2596, 11049, 547, 707, 1239, 269, 3767, 267, 5512, 519, 2689, 5650, 543, 4688, 707, 1788, 563, 24066, 10663, 2659, 2203, 454, 2691, 2866, 568, 2347, 267, 952, 596, 1616, 267, 1287, 1847, 593, 547, 519, 2689, 3942, 269, 1411, 666, 1265, 782, 519, 3877, 827, 519, 2203, 596, 8036, 1318, 1934, 269, 5381, 547, 519, 21458, 2985, 267, 621, 568, 6896, 13974, 543, 814, 782, 519, 21458, 2645, 267, 7175, 519, 1840, 543, 8851, 540, 14391, 725, 607, 1134, 607, 11049, 543, 2243, 15494, 563, 2791, 666, 1039, 24616, 267, 543, 2824, 610, 7947, 513, 1880, 3236, 269, 2991, 596, 616, 2944, 609, 519, 6268, 267, 596, 666, 13143, 707, 1239, 1305, 538, 1585, 12043, 676, 9683, 519, 13143, 3296, 563, 3383, 267, 952, 596, 1616, 547, 5721, 707, 3642, 2203, 609, 8897, 543, 798, 711, 1616, 547, 946, 24675, 727, 2645, 609, 513, 4101, 8818, 267, 1287, 6997, 11839, 337, 568, 585, 596, 269, 1284, 849, 948, 538, 3246, 1239, 543, 6351, 602, 666, 948, 596, 1205, 606, 4977, 2203, 609, 3152, 4398, 563, 2171, 849, 723, 606, 4810, 2319, 540, 14391, 566, 4966, 547, 1489, 596, 693, 513, 2362, 1377, 269, 1924, 267, 1810, 1406, 7227, 256, 13555, 721, 547, 3728, 523, 707, 1843, 542, 7020, 3642, 2203, 2773, 563, 2414, 917, 811, 827, 971, 1344, 267, 3251, 22934, 256, 0, 3528, 281, 18466, 548, 2372, 559, 614, 267, 623, 1910, 291, 267, 31909, 3722, 32279, 267, 2043, 602, 6560, 609, 6219, 946, 4713, 6370, 6848, 16663, 543, 5044, 540, 20887, 827, 8213, 538, 2489, 267, 1419, 4929, 513, 11064, 585, 5275, 2126, 269, 1703, 568, 3356, 1373, 1500, 547, 2569, 6848, 10385, 543, 12172, 519, 14868, 4478, 6219, 946, 4713, 269, 10251, 267, 713, 3356, 568, 8345, 7444, 1247, 454, 291, 783, 5868, 267, 849, 4122, 1634, 607, 1071, 31507, 2590, 4713, 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 ]
[ 26476, 12169, 792, 264, 4198, 278, 825, 910, 271, 269, 5379, 274, 279, 672, 476, 272, 269, 279, 4029, 274, 567, 910, 271, 269, 1839, 476, 476, 271, 269, 8517, 1015, 454, 258, 285, 11782, 302, 4117, 807, 281, 26476, 12169, 792, 264, 4198, 278, 567, 910, 272, 269, 18891, 277, 672, 476, 276, 269, 4037, 276, 273, 567, 910, 271, 269, 2641, 476, 476, 271, 269, 279, 3451, 1428, 454, 258, 285, 11782, 25567, 553, 281, 26476, 12169, 792, 264, 3422, 273, 567, 476, 272, 269, 21916, 274, 672, 476, 272, 269, 280, 6246, 279, 825, 476, 271, 269, 7367, 476, 476, 271, 269, 2568, 276, 5379, 454, 258, 285, 11782, 2026, 807, 281, 26476, 12169, 792, 264, 3422, 273, 11434, 476, 271, 269, 5038, 274, 276, 672, 476, 272, 269, 6507, 278, 278, 825, 476, 271, 269, 3607, 476, 476, 271, 269, 278, 1704, 6078, 454, 258, 285, 11782, 292, 2202, 281, 26476, 12169, 792, 264, 3422, 273, 825, 910, 272, 269, 6021, 272, 272, 672, 476, 272, 269, 279, 4029, 276, 567, 910, 271, 269, 2568, 476, 476, 271, 269, 4649, 272, 5655, 454, 258, 285, 11782, 302, 4117, 807, 281, 26476, 12169, 792, 264, 3422, 273, 567, 910, 273, 269, 4391, 278, 275, 672, 476, 276, 269, 4037, 276, 273, 567, 910, 271, 269, 6078, 476, 476, 271, 269, 6858, 280, 2568, 454, 258, 285, 11782, 25567, 553, 281, 26476, 12169, 792, 264, 3422, 278, 567, 476, 272, 269, 271, 4037, 271, 672, 476, 272, 269, 280, 6246, 279, 825, 476, 271, 269, 4649, 476, 476, 271, 269, 276, 3199, 3451, 454, 258, 285, 11782, 2026, 807, 281, 26476, 12169, 792, 264, 3422, 278, 11434, 476, 272, 269, 278, 4343, 278, 672, 476, 272, 269, 6507, 278, 278, 825, 476, 271, 269, 7176, 476, 476, 271, 269, 29044, 866, 454, 258, 285, 11782, 292, 2202, 281, 26476, 12169, 792, 264, 3422, 278, 825, 910, 273, 269, 18605, 279, 672, 476, 272, 269, 279, 4029, 278, 567, 910, 272, 269, 2537, 476, 476, 271, 269, 24241, 2764, 454, 258, 285, 11782, 302, 4117, 807, 281, 26476, 12169, 792, 264, 3422, 278, 567, 910, 275, 269, 16409, 279, 672, 476, 276, 269, 4037, 276, 273, 567, 910, 271, 269, 7761, 476, 476, 271, 269, 5325, 272, 1789, 454, 258, 285, 11782, 25567, 553, 281, 26476, 12169, 792, 264, 3192, 273, 567, 476, 271, 269, 8064, 278, 273, 672, 476, 272, 269, 280, 6246, 279, 825, 476, 271, 269, 6078, 476, 476, 271, 269, 6924, 272, 10602, 454, 258, 285, 11782, 2026, 807, 281, 26476, 12169, 792, 264, 3192, 273, 11434, 476, 272, 269, 278, 4391, 278, 672, 476, 272, 269, 6507, 278, 280, 825, 476, 271, 269, 7176, 476, 476, 271, 269, 29044, 7906, 454, 258, 285, 11782, 292, 2202, 281, 26476, 12169, 792, 264, 3192, 273, 825, 910, 274, 269, 279, 3199, 272, 672, 476, 272, 269, 279, 3953, 273, 567, 910, 273, 269, 1321, 476, 476, 271, 269, 271, 4097, 3374, 27661, 258, 285, 11782, 302, 4117, 807, 281, 26476, 12169, 792, 264, 3192, 273, 567, 910, 276, 269, 278, 6078, 276, 672, 476, 276, 269, 4037, 276, 273, 567, 910, 272, 269, 876, 476, 476, 271, 269, 28760, 7830, 454, 258, 285, 11782, 25567, 553, 281, 26476, 12169, 792, 264, 3192, 278, 567, 476, 271, 269, 5611, 276, 672, 476, 272, 269, 280, 6246, 280, 825, 476, 271, 269, 5400, 476, 476, 271, 269, 280, 4343, 2764, 454, 258, 285, 11782, 2026, 807, 281, 26476, 12169, 792, 264, 3192, 278, 11434, 476, 272, 269, 22724, 280, 672, 476, 272, 269, 278, 4281, 275, 825, 476, 271, 269, 10170, 476, 476, 271, 269, 21878, 2004, 454, 258, 285, 11782, 292, 2202, 281, 26476, 12169, 792, 264, 3192, 278, 825, 910, 276, 269, 275, 1240, 274, 672, 476, 272, 269, 279, 3953, 280, 567, 910, 273, 269, 9834, 476, 476, 271, 269, 19740, 1626, 2878, 454, 258, 285, 11782, 302, 4117, 807, 281, 26476, 12169, 792, 264, 3192, 278, 567, 910, 278, 269, 30203, 276, 672, 476, 276, 269, 4037, 276, 274, 567, 910, 272, 269, 2420, 476, 476, 271, 269, 19442, 3445, 454, 258, 285, 11782, 25567, 553, 281, 26476, 12169, 792, 264, 2735, 273, 476, 910, 271, 269, 6021, 275, 279, 672, 476, 272, 269, 280, 6246, 280, 567, 910, 271, 269, 4962, 476, 476, 271, 269, 280, 8618, 1015, 454, 258, 285, 11782, 2026, 807, 281, 26476, 12169, 792, 264, 2735, 273, 11434, 476, 272, 269, 4281, 276, 275, 672, 476, 272, 269, 278, 4281, 279, 825, 476, 272, 269, 876, 476, 476, 271, 269, 25628, 6858, 454, 258, 285, 11782, 292, 2202, 281, 26476, 12169, 792, 264, 2735, 273, 825, 910, 277, 269, 280, 4037, 280, 672, 476, 272, 269, 279, 3451, 277, 567, 910, 274, 269, 3199, 476, 476, 271, 269, 1822, 1428, 2878, 20330, 258, 285, 11782, 302, 4117, 807, 281, 26476, 12169, 792, 264, 2735, 273, 567, 910, 278, 269, 280, 2412, 280, 672, 476, 276, 269, 4037, 276, 274, 567, 910, 272, 269, 4343, 476, 476, 271, 269, 15757, 5952, 454, 258, 285, 11782, 25567, 553, 281, 26476, 12169, 792, 264, 2735, 278, 476, 910, 271, 269, 26297, 278, 672, 476, 272, 269, 280, 4510, 271, 567, 910, 271, 269, 1321, 476, 476, 271, 269, 3445, 278, 736, 454, 258, 285, 11782, 2026, 807, 281, 26476, 12169, 792, 264, 2735, 278, 11434, 476, 272, 269, 277, 5952, 279, 672, 476, 272, 269, 6507, 280, 277, 825, 476, 271, 269, 4817, 476, 476, 271, 269, 29340, 8287, 454, 258, 285, 11782, 292, 2202, 281, 26476, 12169, 792, 264, 2735, 278, 825, 910, 279, 269, 276, 4817, 276, 672, 476, 272, 269, 279, 3374, 271, 567, 910, 275, 269, 6924, 476, 476, 274, 269, 271, 324, 268, 6187, 2878, 20330, 258, 285, 11782, 302, 4117, 807, 281, 26476, 12169, 792, 264, 2735, 278, 567, 910, 280, 269, 25148, 275, 672, 476, 276, 269, 4037, 276, 275, 567, 910, 272, 269, 5038, 476, 476, 271, 269, 9083, 2537, 454, 258, 285, 11782, 25567, 553, 281, 26476, 12169, 792, 264, 1960, 273, 567, 476, 271, 269, 279, 2641, 274, 672, 476, 272, 269, 280, 4510, 272, 825, 476, 271, 269, 5655, 476, 476, 271, 269, 6858, 273, 10602, 454, 258, 285, 11782, 2026, 807, 281, 26476, 12169, 792, 264, 1960, 273, 11434, 476, 273, 269, 277, 1321, 278, 672, 476, 272, 269, 278, 3199, 274, 825, 476, 272, 269, 5325, 476, 476, 271, 269, 16318, 6246, 454, 258, 285, 11782, 292, 2202, 281, 26476, 12169, 792, 264, 1960, 273, 825, 910, 278, 269, 278, 8287, 272, 672, 476, 272, 269, 279, 4097, 277, 567, 910, 275, 269, 2537, 476, 476, 273, 269, 276, 324, 268, 4962, 2878, 20330, 258, 285, 11782, 302, 4117, 807, 281, 26476, 12169, 792, 264, 1960, 273, 567, 910, 279, 269, 16348, 278, 672, 476, 276, 269, 4037, 276, 276, 567, 910, 272, 269, 6246, 476, 476, 271, 269, 14681, 2568, 454, 258, 285, 11782, 25567, 553, 281, 26476, 12169, 792, 264, 1960, 278, 567, 476, 273, 269, 1911, 277, 672, 476, 272, 269, 280, 4510, 274, 825, 476, 272, 269, 5400, 476, 476, 271, 269, 18231, 1321, 454, 258, 285, 11782, 2026, 807, 281, 26476, 12169, 792, 264, 1960, 278, 11434, 476, 274, 269, 277, 4366, 274, 672, 476, 272, 269, 4281, 272, 273, 825, 476, 273, 269, 4962, 476, 476, 271, 269, 31239, 3583, 27661, 258, 285, 11782, 292, 2202, 281, 26476, 12169, 792, 264, 1960, 278, 825, 910, 278, 269, 10082, 274, 672, 476, 272, 269, 279, 3374, 279, 567, 910, 274, 269, 11011, 476, 476, 280, 269, 277, 324, 268, 4962, 2878, 20330, 258, 285, 11782, 302, 4117, 807, 281, 26476, 12169, 792, 264, 1960, 278, 567, 910, 278, 269, 6321, 280, 272, 672, 476, 276, 269, 4037, 276, 278, 567, 910, 272, 269, 3953, 476, 476, 271, 269, 6642, 6858, 454, 258, 285, 11782, 25567, 553, 281, 26476, 12169, 792, 264, 1220, 273, 567, 476, 274, 269, 279, 4391, 280, 672, 476, 272, 269, 280, 4510, 273, 825, 476, 272, 269, 9032, 476, 476, 271, 269, 271, 4366, 7918, 27661, 258, 285, 11782, 2026, 807, 281, 26476, 12169, 792, 264, 1220, 273, 11434, 476, 276, 269, 271, 3607, 272, 672, 476, 272, 269, 4281, 272, 275, 825, 476, 273, 269, 10695, 476, 476, 271, 269, 21916, 10602, 2878, 454, 258, 285, 11782, 292, 2202, 281, 26476, 12169, 792, 264, 1220, 273, 825, 910, 277, 269, 1911, 276, 672, 476, 272, 269, 279, 3607, 280, 567, 910, 274, 269, 3953, 476, 476, 271, 269, 1822, 10844, 2878, 20330, 258, 285, 11782, 302, 4117, 807, 281, 26476, 12169, 792, 264, 1220, 273, 567, 910, 277, 269, 271, 2764, 278, 672, 476, 276, 269, 4037, 276, 279, 567, 910, 272, 269, 4962, 476, 476, 271, 269, 27768, 6187, 454, 258, 285, 11782, 25567, 553, 281, 26476, 12169, 792, 264, 1220, 278, 567, 476, 274, 269, 29045, 278, 672, 476, 272, 269, 280, 4510, 275, 825, 476, 272, 269, 6924, 476, 476, 271, 269, 6021, 274, 6734, 4586, 258, 285, 11782, 2026, 807, 281, 26476, 12169, 792, 264, 1220, 278, 11434, 476, 275, 269, 277, 4366, 274, 672, 476, 272, 269, 4281, 273, 274, 825, 476, 273, 269, 8618, 476, 476, 271, 269, 27947, 866, 2878, 454, 258, 285, 11782, 292, 2202, 281, 26476, 12169, 792, 264, 1220, 278, 825, 910, 277, 269, 280, 2420, 274, 672, 476, 272, 269, 279, 4391, 279, 567, 910, 274, 269, 6507, 476, 476, 271, 269, 1822, 1704, 2878, 20330, 258, 285, 11782, 302, 4117, 807, 281, 26476, 12169, 792, 264, 1220, 278, 567, 910, 277, 269, 32455, 273, 672, 476, 276, 269, 4037, 276, 279, 567, 910, 272, 269, 1321, 476, 476, 271, 269, 25784, 6924, 454, 258, 285, 4534, 8894, 258, 285, 6178, 604, 269, 9479, 281, 476, 476, 271, 1412, 30995, 262, 476, 271, 269, 9826, 1412, 1262, 262, 476, 271, 269, 4905, 25952, 476, 271, 269, 4962, 1412, 9538, 476, 271, 269, 272, 1412, 1412, 476, 272, 454, 258, 11417, 258, 285, 1763, 573, 783, 3044, 5470, 281, 476, 276, 269, 4792, 593, 476, 13932, 273, 5232, 540, 5191, 454, 258, 285, 13038, 681, 1606, 32464, 281, 476, 476, 271, 269, 279, 1626, 267, 476, 17797, 539, 681, 1606, 32464, 281, 476, 476, 271, 269, 3199, 280, 454, 258, 285, 674, 3613, 520, 2065, 281, 476, 476, 15686, 593, 476, 8618, 543, 476, 13932, 273, 667, 293, 267, 476, 533, 17032, 281, 2999, 273, 324, 268, 1626, 692, 2971, 595, 1538, 5566, 4632, 630, 26502, 2020, 9616, 602, 649, 20386, 519, 1032, 4756, 883, 513, 3815, 3890, 1599, 269, 1635, 9949, 267, 681, 9397, 909, 938, 4632, 883, 741, 1114, 3815, 2157, 630, 553, 621, 786, 798, 8164, 707, 1036, 816, 832, 723, 3815, 2157, 6393, 2252, 707, 1239, 616, 711, 3815, 1242, 267, 596, 666, 2995, 561, 332, 270, 6921, 332, 547, 3815, 1125, 513, 4756, 630, 328, 4318, 1421, 1711, 546, 16244, 4632, 593, 519, 8038, 264, 676, 1603, 3815, 3890, 780, 2971, 31932, 2418, 692, 29309, 532, 2418, 15069, 3112, 6655, 1022, 1344, 827, 519, 2078, 1063, 519, 4632, 269, 4107, 9781, 3252, 786, 6749, 1022, 9343, 602, 2270, 7508, 2418, 780, 2162, 476, 1724, 269, 273, 269, 274, 22953, 19243, 692, 2691, 649, 4558, 713, 9695, 538, 606, 1843, 267, 649, 1205, 1569, 547, 1896, 3688, 540, 1719, 780, 5575, 267, 681, 814, 513, 5363, 5758, 1505, 585, 9695, 3615, 1384, 8999, 4424, 263, 7116, 994, 258, 11417, 258, 285, 11910, 912, 258, 285, 561, 332, 263, 845, 3121, 815, 1272, 22091, 9625, 2845, 14116, 31389, 303, 2075, 777, 264, 1341, 2845, 9638, 641, 264, 1341, 11782, 30492, 258, 285, 672, 1032, 267, 1239, 815, 7934, 994, 258, 11417, 258, 285, 1763, 573, 783, 338, 912, 258, 285, 672, 3687, 8587, 476, 272, 304, 476, 2405, 1014, 8587, 476, 274, 304, 672, 7665, 454, 258, 285, 910, 1839, 269, 4962, 278, 476, 910, 274, 269, 30525, 567, 476, 271, 269, 31696, 567, 476, 274, 269, 3583, 277, 476, 476, 1428, 269, 271, 4792, 454, 258, 11417, 258, 285, 3213, 324, 13266, 912, 258, 285, 7386, 6480, 1493, 853, 323, 269, 18438, 512, 1871, 2398, 263, 285, 347, 339, 347, 994, 258, 285, 630, 11328, 1061, 264, 11434, 910, 275, 269, 8618, 324, 266, 6349, 567, 476, 272, 269, 3583, 324, 266, 4905 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 717, 996, 9895, 2940, 607, 646, 7281, 539, 538, 2587, 340, 880, 267, 6616, 16961, 32267, 542, 729, 6619, 1765, 515, 729, 12968, 652, 609, 2696, 519, 12429, 269, 968, 296, 1810, 1406, 1616, 547, 798, 713, 12429, 269, 6875, 713, 7484, 540, 7092, 2476, 267, 3884, 1406, 972, 1776, 1259, 18313, 2691, 1582, 2914, 650, 6499, 1945, 1114, 982, 2696, 779, 786, 267, 649, 782, 6560, 1932, 1765, 18484, 1406, 649, 888, 4517, 972, 616, 2053, 938, 1582, 2914, 650, 8255, 678, 3999, 269, 8682, 2914, 650, 3652, 721, 269, 1411, 2461, 10010, 609, 606, 8213, 610, 930, 5609, 1790, 520, 1181, 707, 17145, 270, 7853, 6159, 1407, 563, 7312, 1582, 2914, 650, 3884, 1406, 3206, 827, 4896, 3116, 1765, 3286, 707, 6159, 1324, 563, 303, 2001, 1018, 4906, 7281, 539, 267, 12429, 267, 2659, 786, 581, 2944, 267, 711, 9553, 563, 7775, 707, 10010, 538, 707, 7365, 267, 543, 707, 11348, 543, 10845, 936, 875, 707, 1582, 814, 1044, 5701, 267, 621, 814, 596, 3774, 539, 1055, 563, 4692, 596, 1246, 4906, 267, 32467, 12429, 267, 2659, 786, 581, 2944, 267, 711, 9553, 888, 4692, 596, 5884, 547, 1582, 543, 23294, 1125, 267, 610, 31799, 267, 610, 2119, 1586, 1498, 789, 1810, 1406, 17330, 621, 888, 7775, 950, 2576, 814, 10413, 596, 267, 610, 1055, 2105, 596, 267, 666, 596, 1246, 4906, 1700, 1492, 4708, 20447, 267, 519, 11028, 4290, 518, 267, 519, 11177, 337, 1765, 2254, 585, 873, 267, 585, 2696, 1700, 9767, 7427, 4906, 12429, 267, 2659, 786, 581, 2944, 267, 711, 9553, 563, 16729, 4906, 568, 12955, 547, 1582, 23867, 269, 898, 779, 2182, 28559, 711, 607, 2182, 607, 16961, 32267, 542, 269, 667, 3539, 547, 1582, 568, 3020, 21548, 269, 2334, 779, 1018, 646, 1023, 543, 1964, 2803, 543, 1770, 525, 938, 1158, 269, 1879, 1004, 2661, 713, 1259, 267, 621, 5012, 1866, 538, 519, 1259, 540, 4906, 563, 4517, 1810, 1406, 7340, 602, 12955, 547, 1582, 568, 711, 519, 1439, 540, 519, 1650, 269, 1403, 602, 7959, 899, 2530, 267, 899, 31081, 528, 267, 899, 1582, 31398, 13440, 566, 32503, 2461, 7508, 2696, 779, 8871, 1047, 563, 295, 18443, 707, 2383, 1354, 519, 7083, 267, 543, 646, 786, 12740, 596, 909, 538, 8956, 269, 6276, 476, 275, 281, 1015, 563, 17829, 945, 1246, 4906, 538, 8230, 2670, 267, 2696, 3081, 267, 786, 2671, 538, 3571, 3794, 800, 269, 9320, 899, 589, 2863, 773, 14732, 621, 786, 581, 538, 713, 1272, 267, 610, 6148, 538, 519, 5020, 602, 16569, 267, 855, 585, 2386, 1346, 945, 1208, 16940, 2933, 585, 2696, 779, 19160, 267, 789, 786, 581, 608, 531, 1540, 269, 5213, 1406, 7340, 602, 269, 2290, 1554, 267, 519, 4279, 652, 786, 581, 1346, 945, 6785, 875, 4279, 789, 941, 547, 2696, 267, 865, 789, 1185, 4986, 547, 6961, 547, 1004, 267, 789, 1223, 5884, 547, 1582, 1790, 516, 21232, 566, 543, 1589, 540, 1866, 269, 2334, 568, 4906, 267, 519, 3501, 1480, 269, 3776, 8574, 7475, 912, 4517, 1373, 1336, 538, 5920, 607, 513, 812, 267, 646, 1208, 16940, 5128, 676, 4742, 1073, 539, 1304, 547, 2669, 1765, 16838, 2669, 593, 513, 3444, 256, 4475, 2696, 608, 531, 1540, 1864, 547, 519, 5207, 1747, 543, 5795, 1864, 519, 2012, 602, 568, 1657, 1169, 2012, 267, 602, 693, 519, 2012, 540, 4906, 1169, 12597, 1058, 6367, 267, 538, 13140, 543, 593, 3618, 543, 896, 519, 3618, 267, 543, 1169, 11469, 11760, 602, 4906, 2441, 568, 7083, 267, 547, 519, 18710, 540, 2696, 519, 12429, 269, 10218, 2103, 476, 273, 281, 279, 268, 1556, 0, 263, 24309, 676, 20999, 267, 623, 994, 288, 574, 539, 693, 1053, 945, 786, 581, 2838, 547, 2328, 513, 2854, 1557, 593, 513, 2016, 1888, 269, 634, 1082, 5751, 538, 519, 1433, 2016, 2854, 5583, 609, 519, 2832, 540, 5355, 2854, 4082, 538, 513, 1297, 540, 2081, 269, 12937, 281, 5355, 5220, 267, 5037, 532, 267, 4058, 2984, 267, 1557, 3631, 267, 6863, 6454, 267, 18685, 267, 9073, 547, 2057, 267, 6169, 2542, 563, 22706, 4882, 476, 277, 268, 279, 1923, 476, 5038, 9664, 1923, 476, 1220, 717, 2449, 0, 290, 4752, 2465, 729, 5189, 883, 23759, 3019, 15029, 621, 729, 1869, 513, 4436, 12733, 693, 519, 4098, 540, 519, 2063, 2540, 269, 21231, 6995, 2504, 2847, 9407, 1472, 6259, 3821, 6995, 689, 20299, 4618, 5252, 725, 267, 799, 3576, 1134, 547, 519, 29990, 4525, 540, 14088, 11867, 538, 519, 8998, 5087, 269, 7605, 755, 320, 6995, 689, 519, 22096, 543, 12868, 1287, 4553, 267, 3384, 6385, 538, 9381, 7013, 543, 3844, 4525, 1107, 519, 6259, 3821, 3099, 1281, 711, 1256, 2272, 585, 513, 3791, 540, 519, 2197, 21485, 338, 2698, 2504, 269, 634, 7347, 320, 6995, 689, 23759, 3019, 568, 28439, 2687, 547, 5021, 1297, 540, 12889, 543, 1808, 521, 10079, 269, 634, 6995, 1590, 2097, 689, 519, 1482, 27386, 2249, 267, 4352, 972, 568, 513, 476, 1015, 260, 27108, 585, 824, 2249, 269, 898, 1590, 711, 12520, 18473, 5212, 2293, 610, 2270, 811, 982, 476, 1321, 260, 11195, 267, 6382, 621, 949, 723, 513, 1590, 344, 9329, 269, 898, 3112, 2270, 3109, 10365, 267, 10027, 1845, 610, 4914, 4703, 3564, 1018, 568, 7396, 538, 519, 1592, 540, 12889, 269, 898, 1058, 581, 4158, 6960, 538, 7990, 547, 519, 3750, 563, 763, 1360, 3638, 543, 15027, 3037, 267, 1164, 31556, 543, 8037, 24925, 12405, 782, 1118, 23759, 3019, 606, 4998, 1747, 547, 11349, 6995, 269, 1717, 267, 607, 1419, 4386, 538, 6995, 2127, 267, 713, 2197, 814, 1279, 1185, 547, 4308, 609, 16283, 5989, 267, 2620, 268, 549, 6838, 13313, 538, 12044, 5238, 543, 513, 3668, 540, 1797, 547, 6338, 8101, 4507, 585, 2298, 1852, 269, 2353, 891, 2188, 1118, 621, 1360, 2352, 547, 2333, 2504, 538, 513, 2197, 799, 19646, 782, 519, 1318, 2067, 2175, 563, 763, 16586, 5189, 6995, 1934, 538, 476, 5002, 276, 267, 15029, 519, 5252, 541, 20299, 4618, 9791, 13738, 729, 16865, 538, 476, 4489, 274, 269, 634, 14713, 540, 519, 8545, 1152, 1630, 15701, 538, 476, 4572, 280, 950, 1114, 2371, 941, 7856, 693, 519, 8097, 8998, 540, 667, 338, 577, 836, 267, 513, 29990, 2749, 538, 519, 7262, 11662, 269, 13536, 2504, 729, 6905, 849, 547, 519, 30240, 2127, 540, 645, 600, 12629, 543, 18539, 332, 3316, 1141, 2371, 689, 15057, 543, 12868, 941, 849, 5189, 269, 634, 7605, 755, 320, 3099, 729, 3079, 16916, 538, 519, 7013, 543, 1166, 2660, 851, 540, 519, 2197, 2282, 661, 2513, 16305, 609, 2371, 689, 519, 22096, 563, 28074, 540, 519, 2504, 538, 23759, 3019, 1869, 6013, 538, 519, 3946, 540, 1507, 6705, 609, 24914, 8151, 689, 476, 273, 547, 476, 1015, 25614, 267, 3592, 782, 3769, 1369, 3309, 6694, 1949, 269, 2201, 519, 835, 1688, 267, 952, 713, 1062, 568, 4294, 609, 1813, 1416, 621, 666, 1267, 538, 2189, 30756, 4315, 1107, 609, 1360, 1950, 23599, 12632, 269, 1717, 267, 621, 666, 1291, 547, 2042, 609, 11007, 543, 2834, 640, 689, 519, 2168, 543, 1418, 1961, 10364, 5133, 540, 519, 1587, 563, 763, 2034, 3368, 540, 519, 476, 3199, 338, 4718, 513, 8325, 2887, 538, 5777, 799, 15658, 1042, 1082, 12696, 689, 10115, 2200, 883, 519, 6995, 5823, 267, 16550, 873, 547, 10205, 2504, 267, 25793, 4770, 513, 2178, 1394, 31988, 269, 898, 729, 711, 2394, 519, 2038, 715, 6839, 625, 609, 513, 1007, 2333, 538, 5777, 602, 6705, 3459, 556, 3887, 1998, 15070, 519, 2640, 540, 6995, 2504, 269, 1717, 267, 538, 519, 2230, 540, 513, 1906, 1296, 5777, 9241, 20034, 5471, 539, 267, 14626, 4575, 609, 519, 2229, 7446, 547, 12666, 1125, 519, 2344, 1863, 532, 3294, 4625, 689, 519, 6995, 5823, 269, 26478, 941, 2451, 1510, 1022, 1826, 540, 2930, 610, 2804, 1489, 543, 4625, 693, 519, 23502, 540, 678, 3578, 1652, 10800, 2692, 903, 269, 634, 7607, 540, 519, 24914, 12628, 547, 476, 4968, 4846, 829, 20267, 732, 630, 5976, 519, 3328, 2504, 4397, 547, 581, 538, 519, 25610, 540, 476, 273, 268, 4968, 271, 4846, 829, 20267, 732, 264, 538, 519, 2230, 540, 513, 1906, 1296, 543, 1082, 6705, 941, 7142, 547, 2901, 10205, 610, 6861, 741, 7031, 563, 19751, 540, 2063, 1032, 4718, 513, 6051, 1544, 9250, 547, 2844, 2504, 3842, 9541, 547, 2333, 519, 7607, 540, 4540, 24914, 267, 5137, 540, 1007, 7031, 543, 519, 6639, 18175, 15665, 540, 519, 12227, 269, 901, 1788, 799, 814, 1044, 2919, 538, 14966, 609, 519, 2622, 7813, 267, 14174, 302, 543, 6167, 6311, 4696, 267, 814, 1044, 21248, 476, 4343, 2929, 20789, 338, 609, 519, 3077, 540, 2468, 7204, 23759, 3019, 21485, 338, 1699, 2504, 543, 2198, 908, 621, 1851, 519, 1283, 476, 1321, 12696, 5001, 563, 19447, 312, 302, 10758, 294, 3198, 2975, 2910, 13697, 7417, 454, 763, 476, 1960, 279, 1788, 1107, 26478, 31913, 19541, 1107, 5645, 856, 676, 20917, 328, 674, 517, 15939, 267, 5067, 540, 519, 5449, 1101, 13030, 25535, 1211, 540, 23759, 3019, 267, 5189, 519, 968, 289, 1195, 334, 892, 6216, 883, 519, 2344, 269, 901, 5214, 6995, 3217, 922, 2012, 689, 519, 15027, 3148, 538, 519, 1164, 4133, 540, 4639, 23759, 3019, 269, 634, 6662, 540, 713, 1788, 568, 547, 2087, 519, 1587, 2298, 676, 3044, 1944, 519, 1114, 2504, 5933, 281, 689, 14713, 547, 519, 16116, 543, 1439, 18570, 269, 901, 666, 2327, 513, 2362, 14167, 585, 4600, 267, 9870, 2713, 4441, 9935, 563, 1103, 476, 1220, 279, 267, 594, 30990, 630, 17220, 4659, 585, 15661, 16709, 264, 689, 519, 2160, 540, 14151, 7396, 713, 2249, 1851, 519, 1283, 476, 1015, 1007, 2249, 540, 519, 1032, 269, 5494, 2642, 538, 476, 2735, 274, 267, 1071, 11738, 320, 1347, 8175, 10005, 568, 3957, 1310, 519, 3943, 11001, 1656, 28584, 4077, 8175, 267, 945, 6131, 1034, 540, 1010, 3318, 1272, 547, 519, 1353, 540, 6995, 693, 519, 3943, 16843, 291, 1282, 519, 2063, 476, 1789, 1296, 540, 519, 476, 736, 628, 2540, 269, 901, 2030, 568, 8037, 585, 1373, 1851, 519, 1906, 6923, 14933, 6954, 1071, 11738, 320, 14726, 269, 634, 1353, 540, 713, 1880, 1826, 3459, 538, 476, 1960, 278, 543, 922, 14713, 814, 1152, 5063, 1044, 4603, 539, 609, 538, 519, 2067, 15395, 540, 25234, 1601, 328, 267, 5045, 7262, 11662, 540, 23759, 3019, 693, 513, 4463, 540, 476, 8182, 271, 332, 269, 0, 7617, 540, 519, 1739, 568, 3020, 827, 28706, 4967, 888, 347, 320, 264, 1452, 616, 2016, 676, 519, 19971, 540, 519, 2754, 2008, 321, 264, 1452, 616, 2016, 547, 15666, 547, 4170, 540, 3296, 476, 21076, 563, 322, 264, 1452, 616, 2016, 676, 2912, 6002, 540, 519, 2754, 538, 2912, 3218, 779, 1867, 454, 323, 264, 2353, 540, 519, 1657, 454, 763, 22043, 8382, 1772, 912, 320, 264, 1452, 616, 2016, 676, 519, 19971, 540, 519, 2754, 454, 28557, 8382, 19247, 912, 7336, 534, 2218, 4967, 538, 2883, 6898, 4196, 547, 1683, 3606, 1344, 543, 2796, 547, 519, 2883, 1239, 4843, 269, 769, 519, 2016, 3681, 267, 519, 2953, 2626, 568, 912, 320, 264, 1452, 616, 2016, 676, 519, 19971, 540, 519, 2754, 563, 7336, 534, 2218, 4967, 616, 3335, 3177, 676, 519, 19971, 540, 519, 2754, 607, 851, 540, 519, 2883, 8989, 1184, 563, 17445, 832, 946, 891, 4967, 547, 2709, 513, 811, 3102, 1620, 540, 519, 2883, 6898, 267, 7713, 519, 8051, 4507, 7550, 267, 3246, 3877, 593, 1808, 8852, 267, 543, 5356, 4030, 883, 519, 2754, 779, 2883, 2773, 543, 2990, 563, 4322, 4967, 2832, 547, 3986, 11413, 543, 4217, 8639, 538, 16208, 519, 2883, 1344, 8308, 563, 3086, 267, 1577, 779, 1865, 1946, 519, 824, 3681, 616, 711, 2953, 912, 321, 264, 1452, 616, 2016, 547, 15666, 547, 519, 4170, 540, 3296, 476, 21076, 563, 4407, 9431, 10220, 568, 606, 7533, 2460, 540, 2883, 8989, 267, 28706, 4967, 616, 711, 14311, 5423, 547, 15666, 547, 519, 4170, 540, 513, 1808, 3296, 267, 971, 607, 3296, 476, 21076, 563, 7336, 534, 2218, 4967, 723, 513, 6626, 3483, 267, 17935, 547, 2709, 513, 2143, 7778, 540, 1585, 2609, 538, 519, 2883, 6898, 267, 4180, 602, 8639, 666, 10146, 519, 1344, 538, 513, 6209, 1259, 563, 4407, 10220, 609, 9431, 4441, 568, 1271, 267, 519, 3119, 6662, 540, 28706, 4967, 568, 547, 1683, 513, 3102, 1620, 540, 519, 2883, 2773, 543, 2990, 540, 519, 2754, 563, 322, 264, 1452, 616, 2016, 676, 2912, 6002, 540, 519, 2754, 538, 519, 2912, 3218, 779, 1867, 563, 7336, 534, 2218, 4967, 616, 3622, 711, 3177, 676, 2912, 6002 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 561, 1263, 7699, 11313, 8730, 519, 5053, 6697, 540, 2048, 8072, 2005, 779, 593, 519, 9133, 540, 1250, 11469, 685, 9957, 634, 512, 6856, 1287, 1224, 513, 6609, 540, 519, 9133, 6361, 7308, 2389, 784, 826, 7613, 281, 898, 779, 950, 596, 666, 1406, 3314, 513, 2012, 855, 1869, 1745, 602, 519, 2012, 568, 1360, 2673, 543, 602, 596, 616, 476, 10204, 19836, 2894, 301, 2894, 267, 17886, 298, 3198, 267, 667, 312, 289, 6395, 30045, 2469, 547, 3314, 621, 1360, 4166, 269, 898, 666, 581, 24858, 267, 543, 3006, 621, 568, 607, 952, 824, 1913, 616, 17527, 267, 865, 602, 950, 596, 2119, 547, 3314, 519, 2953, 2262, 596, 2141, 3314, 1776, 835, 269, 6884, 835, 666, 11291, 2694, 540, 519, 2012, 267, 855, 711, 782, 540, 621, 269, 19893, 941, 4280, 2436, 713, 5039, 1108, 7902, 5432, 547, 873, 269, 3973, 789, 941, 4280, 1018, 713, 568, 1572, 538, 1627, 685, 18091, 14024, 8730, 543, 1346, 14775, 609, 606, 4082, 941, 4280, 2436, 789, 1185, 2479, 4862, 24455, 946, 519, 4082, 538, 1627, 685, 18091, 14024, 9957, 7053, 789, 941, 4280, 1141, 538, 519, 1560, 621, 7959, 607, 952, 513, 2262, 568, 16290, 950, 835, 3112, 3314, 621, 269, 19893, 941, 1287, 3181, 4361, 539, 543, 30039, 609, 513, 1507, 10516, 267, 1871, 476, 736, 10634, 269, 11778, 2353, 519, 1153, 539, 2148, 919, 543, 782, 855, 835, 540, 519, 5667, 1041, 539, 2148, 919, 13603, 856, 741, 2012, 593, 519, 1614, 31547, 1449, 267, 607, 1705, 476, 276, 540, 519, 476, 1240, 2192, 3438, 919, 269, 634, 1611, 2338, 540, 1164, 268, 543, 1970, 23151, 1913, 1224, 676, 519, 5667, 1041, 539, 2148, 919, 941, 476, 277, 269, 3445, 630, 16256, 273, 269, 271, 264, 543, 476, 278, 269, 3393, 630, 16256, 476, 273, 269, 279, 264, 6606, 267, 585, 1153, 539, 2148, 919, 519, 1797, 941, 476, 280, 269, 4281, 630, 16256, 476, 272, 269, 272, 264, 543, 476, 280, 269, 7367, 630, 16256, 476, 272, 269, 274, 264, 6606, 269, 2201, 513, 1079, 17574, 30654, 609, 519, 2188, 540, 6828, 543, 6478, 7392, 267, 27195, 519, 2192, 30185, 1895, 945, 782, 20639, 4642, 593, 519, 2542, 4247, 267, 1152, 519, 6828, 2707, 540, 13065, 729, 1713, 267, 674, 630, 272, 267, 476, 3393, 264, 476, 1839, 269, 277, 267, 533, 289, 269, 4962, 267, 1813, 547, 519, 1153, 539, 1895, 18176, 2362, 982, 519, 5667, 1041, 539, 2148, 919, 269, 570, 5588, 338, 269, 18542, 2436, 789, 1185, 4862, 540, 519, 2048, 8072, 335, 2863, 320, 632, 3288, 561, 1263, 7699, 11313, 685, 4082, 267, 1079, 2192, 3438, 919, 630, 1556, 8472, 543, 1079, 5667, 1041, 539, 2148, 919, 630, 1015, 8472, 15527, 14751, 8271, 267, 3379, 547, 8370, 540, 519, 1153, 539, 2148, 919, 630, 3451, 15992, 519, 8167, 540, 519, 8545, 1895, 1373, 3592, 3648, 2362, 982, 519, 1866, 267, 1535, 273, 263, 273, 264, 476, 276, 269, 272, 267, 533, 269, 5400, 269, 2201, 519, 2243, 540, 2436, 789, 18931, 519, 5039, 1108, 267, 936, 1079, 22188, 540, 519, 3732, 630, 1015, 2192, 3438, 919, 267, 476, 866, 1153, 539, 2148, 919, 267, 543, 476, 1428, 5667, 1041, 539, 2148, 919, 264, 1767, 789, 1705, 267, 1535, 273, 263, 273, 264, 272, 269, 279, 267, 562, 338, 269, 589, 2698, 540, 476, 279, 2192, 3438, 919, 267, 476, 1724, 1153, 539, 2148, 919, 267, 543, 476, 1015, 5667, 1041, 539, 2148, 919, 1705, 711, 917, 519, 570, 5588, 4082, 538, 5053, 267, 543, 2943, 8195, 4080, 519, 6609, 540, 519, 5039, 1108, 547, 581, 5432, 269, 8307, 1614, 1153, 539, 2148, 622, 5171, 10645, 602, 972, 729, 606, 4082, 585, 9133, 6361, 268, 519, 2389, 784, 826, 1533, 538, 1627, 685, 18091, 14024, 9957, 1280, 782, 1614, 540, 873, 621, 729, 519, 21055, 8144, 540, 519, 5053, 267, 543, 782, 31380, 9138, 519, 11658, 6381, 896, 799, 789, 1031, 621, 267, 552, 3052, 1421, 2048, 8072, 514, 1250, 1920, 685, 8730, 2048, 8072, 5976, 1250, 2828, 685, 9957, 4033, 5171, 1767, 519, 1259, 547, 2161, 621, 729, 2048, 8072, 296, 723, 16618, 519, 2262, 267, 855, 786, 6148, 3314, 621, 2663, 685, 9957, 3204, 8973, 1141, 513, 2262, 568, 950, 621, 666, 1406, 581, 27416, 267, 782, 5171, 1767, 2901, 2048, 8072, 514, 519, 2212, 685, 685, 610, 2048, 8072, 514, 519, 2247, 685, 9957, 769, 1840, 267, 513, 5065, 10584, 540, 1627, 685, 18091, 14024, 685, 609, 513, 4387, 622, 538, 2904, 534, 4654, 729, 26906, 267, 543, 646, 1767, 972, 568, 1100, 4082, 585, 9133, 6361, 7308, 2389, 784, 826, 1533, 267, 4352, 646, 5128, 1705, 1995, 570, 5588, 338, 538, 1627, 685, 18091, 14024, 9957, 17564, 15020, 1906, 2192, 3438, 919, 543, 5667, 1041, 539, 2148, 919, 2408, 547, 723, 4862, 540, 519, 9133, 6361, 7308, 2389, 784, 826, 4082, 538, 5053, 267, 6466, 519, 4082, 568, 5266, 4922, 1634, 10838, 1153, 539, 2148, 919, 269, 634, 2055, 827, 2262, 3965, 7000, 602, 972, 666, 15991, 581, 1767, 547, 581, 606, 4082, 585, 570, 5588, 338, 538, 1627, 685, 18091, 14024, 8730, 4352, 519, 3510, 949, 581, 4657, 269, 8422, 5171, 4080, 1210, 1018, 568, 513, 8144, 540, 519, 5053, 4082, 538, 1627, 685, 18091, 14024, 9957, 898, 4667, 2693, 602, 519, 4082, 568, 538, 1249, 513, 1463, 8144, 689, 519, 5053, 267, 543, 602, 519, 4082, 568, 4098, 547, 3262, 547, 1627, 685, 18091, 14024, 685, 10529, 267, 5310, 538, 519, 1482, 1259, 602, 8225, 21473, 322, 2684, 2158, 267, 585, 1383, 267, 949, 2161, 2048, 8072, 17845, 30036, 679, 993, 712, 513, 11355, 844, 601, 638, 685, 684, 11313, 8730, 799, 814, 1212, 696, 883, 519, 1893, 689, 519, 2296, 269, 6684, 267, 7439, 933, 326, 2103, 723, 936, 519, 2250, 1906, 1296, 13175, 547, 946, 2453, 2047, 12261, 689, 519, 2296, 267, 971, 607, 2048, 8072, 15290, 621, 2501, 547, 1547, 1547, 1547, 685, 8730, 543, 2048, 8072, 296, 666, 1406, 2097, 547, 519, 6049, 1175, 1631, 685, 9957, 1677, 938, 3732, 267, 1913, 602, 616, 18445, 17303, 2352, 547, 11291, 2408, 547, 581, 538, 519, 2212, 610, 2247, 267, 543, 711, 4481, 593, 519, 11469, 610, 538, 519, 5023, 269, 5221, 513, 2450, 762, 8167, 540, 519, 3732, 1705, 711, 917, 519, 4082, 855, 18931, 519, 5039, 1108, 267, 621, 5526, 602, 2348, 606, 4082, 585, 519, 1533, 568, 711, 513, 32563, 585, 7680, 570, 5588, 338, 269, 4935, 519, 7811, 11984, 1063, 5203, 1275, 540, 513, 570, 5588, 4082, 543, 519, 5203, 1275, 540, 570, 5588, 5039, 1108, 12374, 12170, 1489, 269, 6736, 519, 1867, 540, 1614, 5171, 602, 789, 946, 606, 4082, 585, 9133, 6361, 7308, 2389, 784, 826, 1533, 267, 621, 6157, 5526, 547, 581, 2352, 547, 2226, 513, 3409, 602, 1627, 685, 18091, 14024, 685, 814, 606, 4082, 538, 519, 1482, 7839, 1259, 607, 267, 585, 1383, 267, 519, 2101, 3864, 4654, 269, 2311, 519, 25758, 9215, 4811, 6167, 4353, 8991, 3201, 286, 1482, 942, 267, 1082, 5171, 10645, 547, 723, 4810, 570, 5588, 338, 267, 1247, 711, 2348, 1185, 606, 4082, 547, 2012, 621, 269, 15331, 476, 272, 7152, 602, 5171, 267, 1519, 930, 2192, 3438, 919, 267, 3409, 547, 1995, 519, 5039, 1670, 4162, 540, 570, 5588, 338, 269, 634, 1292, 2832, 540, 15331, 476, 273, 729, 547, 3313, 2436, 621, 729, 2009, 547, 16578, 570, 5588, 338, 538, 1627, 685, 18091, 14024, 685, 5171, 269, 634, 24117, 729, 602, 519, 2164, 540, 15331, 476, 272, 1522, 10703, 643, 2406, 581, 1813, 547, 4203, 625, 12412, 281, 5171, 1522, 723, 5433, 602, 519, 13998, 811, 11807, 2626, 729, 21533, 602, 835, 4810, 570, 5588, 338, 269, 1635, 1210, 513, 12191, 2147, 547, 1346, 1031, 538, 3105, 2048, 8072, 310, 3480, 685, 685, 960, 267, 713, 1353, 630, 16987, 2939, 476, 273, 264, 786, 1450, 6476, 1063, 570, 5588, 338, 538, 519, 1699, 5439, 543, 570, 5588, 338, 538, 2148, 622, 4529, 267, 2523, 3823, 519, 6662, 3601, 540, 570, 5588, 338, 269, 589, 2048, 8072, 23871, 20190, 623, 2720, 3726, 685, 685, 268, 3697, 2243, 7146, 268, 24987, 3898, 729, 6074, 267, 2147, 547, 602, 1031, 676, 9466, 543, 5062, 10468, 650, 630, 3422, 277, 1040, 769, 1931, 547, 12366, 1047, 519, 12136, 540, 570, 5588, 338, 267, 782, 2055, 1185, 1004, 779, 4408, 607, 741, 9072, 267, 899, 645, 1066, 333, 523, 267, 20045, 2544, 344, 267, 24761, 267, 543, 23745, 630, 1960, 271, 1040, 769, 1840, 267, 538, 1931, 547, 3489, 6662, 2963, 540, 804, 4923, 612, 547, 519, 3077, 2262, 267, 649, 524, 4240, 3368, 519, 570, 5588, 338, 609, 519, 7508, 4408, 685, 3355, 338, 267, 24584, 602, 570, 5588, 338, 1058, 581, 17251, 676, 3355, 338, 630, 289, 1066, 333, 523, 1696, 620, 1421, 476, 1960, 271, 282, 12390, 2917, 1299, 21582, 749, 267, 476, 2735, 279, 1040, 4340, 547, 5576, 23702, 345, 779, 5203, 1275, 8367, 267, 621, 1058, 581, 2009, 547, 16578, 570, 5588, 338, 538, 782, 5171, 267, 7488, 540, 7924, 4567, 269, 2290, 4244, 6364, 547, 713, 568, 602, 1565, 547, 1224, 5012, 547, 1558, 600, 655, 3645, 7835, 267, 538, 1558, 659, 4321, 10182, 610, 19815, 2438, 7279, 585, 1383, 267, 602, 1291, 547, 519, 5920, 540, 570, 5588, 338, 269, 6271, 4244, 568, 602, 621, 568, 1018, 568, 4121, 538, 1153, 602, 8992, 570, 5588, 338, 267, 865, 602, 1152, 1153, 539, 2148, 919, 267, 855, 711, 5667, 1041, 539, 2148, 919, 267, 786, 1397, 570, 5588, 338, 269, 15331, 476, 273, 729, 5342, 538, 1627, 685, 18091, 14024, 8730, 609, 3993, 2389, 784, 826, 10529, 269, 12327, 25807, 8379, 7728, 476, 273, 6396, 19893, 269, 589, 2698, 540, 476, 5655, 5171, 941, 25945, 689, 513, 18296, 3544, 29154, 17505, 1572, 25548, 20660, 3624, 594, 577, 629, 269, 2353, 855, 1079, 12038, 5053, 607, 1134, 607, 1627, 685, 18091, 14024, 9957, 634, 476, 1428, 1153, 539, 2148, 919, 1185, 513, 1611, 540, 476, 1724, 1296, 2069, 630, 9792, 476, 1556, 476, 866, 1296, 1040, 2986, 519, 476, 1428, 2192, 3438, 919, 267, 1152, 835, 1185, 1044, 547, 1153, 267, 12150, 569, 585, 476, 274, 1296, 269, 634, 476, 1321, 608, 2000, 3438, 919, 1185, 782, 476, 14378, 1044, 6026, 547, 1224, 543, 2328, 676, 513, 2199, 4116, 269, 634, 1611, 6502, 540, 519, 5439, 941, 476, 4029, 267, 476, 2764, 267, 543, 476, 2767, 267, 6606, 267, 543, 972, 941, 476, 2420, 2021, 269, 29918, 25625, 269, 769, 7446, 2055, 2693, 547, 16578, 570, 5588, 338, 267, 835, 2115, 3077, 1004, 945, 616, 538, 519, 1647, 547, 1970, 2039, 540, 23440, 281, 4408, 602, 616, 3810, 5432, 616, 2693, 547, 581, 27416, 2864, 982, 547, 16578, 513, 570, 5588, 269, 769, 513, 2197, 609, 971, 19514, 1569, 547, 2069, 267, 621, 568, 2352, 547, 15378, 1018, 1131, 13822, 1434, 3688, 585, 1802, 1424, 570, 5588, 338, 281, 585, 3236, 267, 593, 476, 736, 5437, 476, 1220, 276, 513, 7986, 26976, 534, 11356, 267, 2776, 985, 320, 8644, 516, 267, 4080, 602, 538, 513, 3542, 540, 476, 6344, 271, 1004, 5645, 856, 676, 966, 2135, 4678, 2088, 538, 30188, 779, 476, 2420, 6237, 1698, 8558, 267, 476, 1428, 269, 276, 260, 540, 1004, 12943, 2048, 8072, 5591, 685, 685, 547, 519, 2243, 2048, 8072, 2710, 596, 917, 945, 6723, 17312, 568, 286, 685, 685, 1924, 476, 2190, 2055, 941, 5423, 602, 4857, 1004, 2693, 547, 581, 1634, 547, 519, 5171, 269, 2368, 941, 3486, 28245, 630, 8072, 8072, 8005, 568, 519, 5518, 540, 519, 2136, 2276, 286, 685, 685, 282, 2048, 8072, 8005, 568, 18335, 779, 1034, 4583, 2479, 11176, 518, 286, 685, 32426, 543, 930, 941, 26976, 534, 630, 8072, 8072, 1432, 729, 519, 2012, 540, 519, 631, 2945, 10722, 528, 632, 30188, 945, 729, 18272, 3990, 538, 476, 1960, 279, 286, 685, 685, 282, 2048, 8072, 8005, 568, 519, 6805, 26976, 534, 689, 2372, 747, 2946, 945, 4465, 519, 17587, 13458, 15356, 538, 476, 1960, 273, 286, 685, 685, 282, 2048, 8072, 1432, 729, 519, 2012, 540, 519, 6805, 6205, 945, 729, 12475, 3293, 547, 2669, 693, 513, 1762, 2085, 538, 476, 8687, 276, 286, 685, 685, 1040, 634, 2055, 941, 2854, 538, 5053, 267, 855, 1224, 856, 538, 1627, 685, 18091, 14024, 9957, 26488, 269, 19893, 941, 14059, 14350, 538, 519, 8265, 676, 513, 4775, 1627, 685, 18091, 14024, 685, 512, 6856, 538, 2757 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1516, 693, 519, 11076, 1467, 4995, 1879, 596, 12446, 267, 1413, 585, 4191, 10834, 519, 4527, 540, 1216, 269, 1411, 1058, 1294, 6329, 1835, 4770, 1996, 519, 13272, 267, 5873, 694, 698, 1638, 338, 10760, 16841, 267, 543, 9329, 519, 30644, 2011, 780, 1262, 3721, 476, 275, 281, 17291, 15783, 23421, 5174, 8960, 26425, 338, 4373, 5629, 596, 4312, 6603, 519, 23795, 267, 621, 781, 942, 547, 3406, 585, 1761, 27081, 24481, 16115, 780, 265, 2878, 19185, 15907, 4995, 2480, 534, 519, 11824, 1858, 5402, 267, 2921, 4063, 540, 1022, 4277, 23302, 7725, 267, 890, 6277, 956, 267, 610, 16115, 563, 265, 2878, 32575, 26425, 9537, 4995, 10312, 593, 1808, 7387, 2010, 1634, 547, 3132, 15090, 3149, 267, 971, 607, 23690, 9094, 630, 324, 3052, 1421, 7414, 23690, 3122, 267, 9533, 23690, 3122, 264, 610, 1660, 17632, 630, 324, 3052, 1421, 11335, 1660, 1088, 1040, 1452, 16115, 1419, 723, 11315, 267, 12150, 5546, 543, 949, 581, 13148, 12617, 538, 5070, 610, 16095, 563, 265, 2878, 303, 10107, 5455, 26425, 338, 4995, 28528, 4584, 909, 9621, 16115, 1210, 1312, 3946, 267, 1818, 2386, 711, 547, 25837, 873, 1932, 2182, 269, 15579, 519, 7387, 16119, 855, 9900, 267, 609, 835, 1688, 5885, 519, 5377, 543, 519, 824, 8066, 519, 1283, 780, 1262, 3721, 476, 276, 281, 14956, 2287, 519, 26425, 4373, 4415, 707, 6074, 7387, 538, 1688, 267, 621, 781, 942, 547, 1930, 621, 543, 8524, 922, 9115, 780, 265, 2878, 295, 13783, 519, 26425, 22043, 569, 4995, 19024, 519, 7387, 865, 519, 554, 16636, 2427, 630, 3602, 519, 1079, 2694, 2743, 264, 8188, 2476, 689, 596, 269, 9255, 707, 555, 29304, 593, 2901, 2427, 540, 519, 7387, 267, 2282, 519, 554, 16636, 267, 543, 16833, 707, 11263, 1472, 519, 1964, 540, 519, 7387, 563, 265, 2878, 28274, 22918, 548, 16242, 4995, 20405, 569, 4019, 9543, 2604, 547, 519, 7387, 267, 533, 11538, 621, 1930, 5594, 269, 2142, 6297, 711, 547, 24807, 519, 7387, 610, 922, 9115, 563, 265, 2878, 11900, 1051, 532, 519, 12937, 4995, 4495, 519, 7387, 568, 1930, 267, 9263, 3330, 547, 2638, 952, 972, 781, 513, 27081, 1459, 269, 13428, 3149, 786, 2408, 607, 21743, 267, 17031, 3615, 1369, 519, 7387, 780, 1262, 3721, 476, 277, 281, 6987, 24219, 519, 23421, 630, 2252, 5853, 21143, 23558, 256, 1403, 596, 4312, 1336, 513, 27081, 267, 1246, 891, 3268, 547, 1349, 621, 9108, 1384, 265, 2878, 22512, 2685, 3816, 8221, 519, 23421, 4995, 2422, 17408, 14162, 619, 610, 513, 1507, 267, 6366, 1907, 547, 9900, 1071, 1314, 519, 27081, 856, 540, 519, 7387, 269, 3680, 15700, 519, 27081, 2047, 609, 707, 11953, 3946, 267, 607, 11041, 689, 707, 2960, 1223, 3441, 621, 563, 265, 2878, 5522, 5217, 519, 23421, 15822, 569, 4995, 18734, 519, 13939, 27081, 547, 513, 5150, 8708, 4904, 609, 2571, 1570, 267, 971, 607, 10412, 11084, 610, 1957, 28734, 267, 547, 2061, 31153, 610, 669, 6235, 780, 1262, 21206, 9669, 543, 3816, 785, 619, 4373, 265, 11408, 4225, 3106, 950, 10478, 585, 15090, 3149, 912, 453, 266, 13772, 585, 2178, 14768, 610, 18009, 29500, 1247, 10977, 610, 530, 8172, 538, 519, 5836, 563, 453, 266, 23203, 8825, 10591, 267, 971, 607, 17309, 267, 547, 2057, 11912, 610, 705, 6652, 687, 689, 8325, 16115, 563, 453, 266, 20780, 24429, 543, 31272, 569, 5781, 547, 2061, 3141, 14315, 563, 265, 21727, 7286, 1272, 543, 8134, 912, 453, 266, 7435, 548, 16115, 543, 7068, 9900, 543, 1480, 324, 569, 563, 453, 266, 3680, 23892, 9249, 610, 9427, 1804, 9424, 540, 16115, 267, 799, 666, 2800, 2199, 8134, 563, 265, 6333, 17874, 4966, 610, 11836, 11461, 19150, 585, 2799, 8458, 540, 1967, 543, 5583, 780, 3528, 1739, 891, 3102, 3268, 267, 596, 3513, 581, 1134, 25668, 5792, 547, 14679, 883, 519, 1158, 540, 27081, 10122, 256, 5457, 547, 2611, 3461, 267, 10770, 267, 543, 16614, 540, 2470, 1282, 707, 3460, 269, 8414, 10122, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 8340, 13428, 3149, 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, 6092, 5149, 281, 11572, 2552, 7337, 625, 28259, 532, 5053, 22580, 609, 7377, 592, 626, 24285, 538, 5824, 3013, 281, 589, 10312, 593, 27816, 781, 19822, 692, 7072, 912, 763, 2797, 5251, 540, 5824, 3013, 814, 1044, 3648, 8032, 676, 519, 4473, 540, 2451, 6122, 22135, 17069, 626, 3401, 971, 607, 5345, 334, 5651, 2297, 540, 30643, 543, 519, 3735, 18018, 334, 932, 5451, 557, 345, 540, 27816, 269, 4256, 11564, 547, 8050, 2813, 8101, 27900, 1312, 29143, 1227, 543, 608, 27238, 267, 9870, 2055, 827, 8050, 781, 4914, 3609, 10066, 4724, 5824, 3013, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 891, 2797, 9840, 267, 6313, 875, 5053, 6278, 609, 17069, 626, 3401, 1522, 3310, 6237, 6384, 1765, 5976, 1880, 3007, 2016, 547, 519, 5571, 6433, 538, 27816, 269, 1284, 2832, 547, 1683, 513, 13857, 2079, 540, 519, 10848, 3238, 538, 5883, 3486, 1894, 1063, 11180, 2829, 543, 17069, 626, 20816, 269, 8528, 272, 269, 4197, 7377, 592, 1143, 281, 16610, 543, 18567, 454, 16954, 592, 1143, 568, 513, 29653, 2165, 1419, 2404, 609, 1347, 29487, 5718, 543, 4550, 268, 601, 527, 626, 20116, 269, 898, 666, 581, 1336, 2066, 519, 20748, 8552, 282, 2705, 267, 538, 519, 2013, 540, 5824, 3013, 267, 2451, 26310, 17069, 1143, 2968, 7986, 1282, 519, 2038, 8938, 23867, 2540, 269, 6206, 4162, 540, 2451, 26310, 17069, 1143, 1331, 23799, 1026, 5737, 4507, 6322, 693, 5466, 1514, 8635, 267, 13720, 1049, 11407, 9859, 1996, 2757, 31794, 267, 543, 6811, 547, 2099, 1412, 1492, 1004, 262, 1996, 9228, 6937, 269, 2755, 930, 8661, 17069, 1235, 585, 4101, 683, 565, 28515, 31249, 344, 267, 1866, 10404, 1125, 873, 585, 14944, 1456, 5238, 543, 23622, 1379, 563, 273, 269, 5053, 9534, 609, 5824, 3013, 281, 12745, 783, 17563, 454, 8967, 664, 781, 2078, 609, 5824, 3013, 568, 6825, 676, 3140, 13218, 267, 10409, 1455, 1275, 267, 543, 2804, 22524, 11163, 269, 4595, 519, 1439, 540, 30473, 781, 28983, 1222, 538, 476, 3192, 276, 267, 20422, 5053, 6608, 723, 22002, 513, 14942, 3609, 1634, 607, 834, 21691, 6403, 339, 3821, 632, 6480, 5964, 257, 2509, 741, 5449, 10125, 269, 901, 1935, 11363, 3838, 2418, 899, 9111, 267, 1480, 2924, 267, 543, 1617, 10561, 1143, 269, 1717, 267, 2502, 609, 17069, 626, 3401, 13514, 2189, 2591, 1813, 547, 18312, 5784, 593, 10350, 543, 2520, 641, 29176, 563, 274, 269, 24167, 519, 6250, 1080, 540, 5345, 334, 5651, 2297, 543, 18018, 334, 932, 5451, 557, 345, 547, 8050, 454, 7628, 1010, 26022, 607, 6305, 14012, 267, 21280, 2946, 30511, 14339, 337, 6403, 326, 22222, 2098, 777, 831, 334, 20888, 1896, 11786, 5515, 689, 5824, 3013, 267, 1519, 5345, 334, 5651, 2297, 543, 18018, 334, 932, 5451, 557, 345, 269, 31379, 11130, 602, 891, 11401, 1129, 4705, 513, 6521, 2476, 689, 3964, 3347, 609, 811, 9793, 11051, 267, 5732, 9813, 908, 16167, 1369, 519, 3864, 5742, 269, 1677, 1174, 519, 6286, 540, 891, 13341, 267, 2015, 912, 453, 265, 1548, 941, 519, 7150, 5301, 540, 891, 1533, 11564, 286, 1215, 1705, 789, 5447, 609, 4013, 5053, 4914, 3609, 3853, 888, 453, 265, 1215, 1705, 1585, 8639, 4431, 547, 891, 4497, 906, 1107, 552, 3052, 1421, 6469, 11685, 6105, 267, 9167, 4891, 267, 3540, 2486, 3906, 888, 275, 269, 30487, 8177, 593, 13636, 18868, 281, 8865, 5530, 910, 27816, 781, 19822, 454, 309, 20318, 21731, 2488, 513, 8903, 1383, 540, 875, 5053, 23372, 949, 1764, 6626, 6237, 3157, 269, 3683, 519, 2250, 8717, 267, 27816, 814, 4810, 4049, 2797, 24187, 896, 5518, 12832, 565, 27222, 8496, 1755, 267, 945, 16309, 18018, 334, 932, 5451, 557, 345, 1739, 1010, 2669, 538, 476, 1001, 274, 269, 654, 7655, 31482, 540, 13313, 267, 1480, 2924, 28407, 267, 543, 28974, 21274, 723, 3366, 547, 3486, 18149, 31766, 543, 24476, 269, 6333, 912, 453, 265, 1215, 814, 8050, 15527, 547, 519, 6433, 538, 27816, 286, 13201, 28925, 6462, 610, 10353, 9167, 3800, 1471, 268, 14504, 23724, 2961, 659, 553, 888, 453, 265, 16393, 2799, 9316, 1063, 8050, 543, 27816, 781, 9338, 10621, 16167, 22652, 13253, 1369, 5824, 3013, 543, 3564, 888, 276, 269, 14484, 532, 593, 16497, 3231, 2740, 281, 21344, 9314, 338, 543, 18880, 454, 32382, 20320, 4497, 906, 609, 17069, 626, 3401, 3340, 6297, 7156, 540, 3084, 4690, 267, 3838, 2418, 267, 543, 1761, 4539, 269, 1280, 11180, 6082, 899, 8050, 267, 5807, 16268, 5188, 1247, 4509, 2379, 4184, 539, 7158, 6799, 513, 23773, 4161, 269, 1306, 1053, 540, 2797, 2257, 267, 2565, 8086, 593, 2665, 971, 607, 1346, 4843, 1934, 3091, 3407, 4030, 883, 519, 1148, 543, 2259, 540, 3486, 1894, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 1889, 281, 634, 11564, 547, 8050, 540, 3465, 6342, 5345, 334, 5651, 2297, 540, 30643, 543, 18018, 334, 932, 5451, 557, 345, 540, 27816, 723, 15427, 513, 2101, 6469, 15784, 607, 1134, 607, 7920, 5007, 7521, 267, 607, 8050, 779, 2229, 568, 15034, 540, 5275, 547, 1847, 6251, 547, 1978, 17069, 626, 3401, 563, 23087, 281, 6250, 1080, 547, 8050, 676, 5345, 334, 5651, 2297, 543, 18018, 334, 932, 5451, 557, 345, 3361, 513, 13489, 538, 519, 2923, 267, 8015, 25197, 725, 602, 11788, 10579, 21280, 2946, 13198, 6403, 338, 14339, 337, 6403, 326, 22222, 2098, 777, 831, 334, 779, 3609, 729, 8716, 513, 3152, 12972, 609, 519, 6608, 540, 30643, 543, 27816, 267, 610, 1256, 609, 519, 2477, 540, 519, 9338, 10621, 23454, 630, 289, 565, 14746, 267, 18010, 267, 28130, 267, 12832, 31804, 7699, 543, 27816, 264, 982, 609, 824, 5824, 1977, 3465, 6342, 269, 901, 589, 6020, 6663, 547, 1491, 513, 6251, 1413, 693, 519, 11564, 6976, 676, 519, 1079, 3401, 543, 519, 3853, 789, 8179, 267, 607, 1134, 607, 519, 6859, 540, 519, 5053, 2229, 269, 1452, 2152, 616, 5532, 547, 519, 2477, 685, 9757, 24845, 989, 31789, 267, 607, 1134, 607, 609, 519, 13865, 5943, 538, 799, 8050, 29377, 922, 3609, 2509, 5824, 3013, 267, 1247, 621, 568, 1271, 547, 7703, 1775, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 2622, 1315, 12144, 1299, 5824, 1977, 1315, 23256, 3241, 534, 19822, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 835, 945, 568, 1055, 1010, 267, 256, 1656, 32548, 267, 543, 1325, 2129, 320, 782, 1472, 596, 949, 1775, 581, 1821, 10696, 676, 3212, 548, 267, 949, 1775, 581, 676, 269, 25120, 2967, 267, 1412, 10239, 547, 5836, 513, 9543, 7362, 540, 2842, 269, 786, 2253, 11423, 476, 279, 267, 4335, 30026, 2173, 2678, 1862, 7225, 3022, 676, 519, 1216, 616, 519, 8188, 540, 519, 2244, 568, 10419, 18050, 676, 5126, 540, 6371, 543, 798, 31274, 1862, 1849, 9820, 572, 568, 606, 4830, 1543, 17082, 1818, 19347, 7044, 827, 17774, 532, 543, 519, 7330, 630, 700, 12710, 4639, 20129, 269, 11146, 1058, 581, 8120, 737, 24926, 522, 25697, 4779, 3570, 630, 476, 15704, 280, 15426, 918, 383, 375, 335, 10044, 630, 661, 671, 619, 13478, 523, 12542, 3738, 22963, 543, 24222, 4001, 519, 1453, 267, 476, 1001, 279, 910, 519, 1034, 2442, 10530, 827, 16127, 2709, 269, 24035, 269, 12181, 1762, 2030, 621, 7472, 938, 3896, 540, 10195, 602, 6013, 12979, 1819, 538, 1022, 5836, 8823, 256, 12794, 262, 308, 548, 1775, 25697, 1412, 664, 320, 630, 476, 16348, 277, 15426, 6965, 3294, 1412, 338, 1378, 2295, 3766, 1516, 2542, 11783, 15474, 14751, 566, 540, 519, 27402, 540, 922, 2245, 267, 6197, 267, 6965, 267, 543, 649, 666, 20688, 938, 3435, 2743, 256, 4855, 2161, 902, 689, 5808, 641, 328, 7108, 6199, 547, 4460, 30805, 10068, 610, 10707, 2318, 543, 16614, 1272, 827, 519, 27085, 5590, 339, 6840, 267, 4440, 2717, 29498, 2103, 689, 10195, 547, 519, 9997, 269, 968, 519, 8187, 10658, 340, 2129, 531, 10394, 267, 1141, 941, 596, 1175, 6749, 269, 5221, 540, 602, 7508, 6749, 269, 4478, 621, 609, 5595, 10530, 568, 13026, 519, 16880, 28551, 568, 1634, 1472, 942, 1862, 1656, 538, 519, 513, 1111, 540, 519, 666, 4141, 3001, 1247, 519, 3141, 568, 1869, 267, 256, 3619, 525, 1055, 543, 3762, 519, 1004, 3297, 269, 1158, 267, 855, 646, 267, 4171, 2038, 1289, 256, 2052, 1294, 1291, 596, 883, 8373, 649, 1256, 998, 538, 606, 5836, 2372, 1774, 689, 519, 2296, 2262, 907, 9509, 13743, 5280, 1864, 547, 12446, 269, 2943, 621, 1085, 757, 519, 21823, 1472, 621, 269, 15426, 1010, 907, 15232, 593, 938, 3896, 1183, 1412, 3626, 683, 328, 25697, 4779, 3570, 630, 476, 15704, 280, 15426, 519, 17774, 31115, 568, 5667, 330, 2683, 519, 269, 29175, 622, 3054, 2490, 519, 3946, 1847, 267, 972, 568, 1272, 538, 519, 1216, 689, 2296, 256, 13518, 267, 855, 596, 666, 1294, 1291, 596, 883, 8373, 562, 1405, 1577, 1919, 596, 666, 1451, 547, 2807, 1412, 306, 5711, 2245, 11587, 267, 18941, 267, 11419, 267, 17493, 1160, 14620, 968, 2048, 1775, 256, 20717, 547, 519, 4262, 270, 334, 4117, 649, 1451, 3388, 827, 1373, 22963, 4591, 578, 2801, 267, 803, 1862, 634, 1034, 1455, 22963, 1913, 543, 2453, 607, 9275, 676, 7111, 22963, 1893, 16159, 1216, 689, 17774, 256, 634, 8188, 540, 519, 27402, 540, 922, 2245, 267, 6197, 267, 6965, 543, 269, 589, 515, 561, 879, 544, 752, 8643, 630, 476, 27886, 274, 3738, 12181, 519, 13837, 2130, 12162, 11276, 1661, 814, 8120, 547, 2244, 267, 585, 1268, 256, 2290, 6499, 547, 7544, 519, 554, 3121, 267, 536, 1662, 6888, 1058, 581, 2451, 693, 1753, 1900, 267, 543, 1325, 2129, 320, 538, 2247, 1862, 5272, 824, 2230, 568, 13026, 476, 277, 267, 476, 1001, 273, 676, 25014, 3821, 3057, 10620, 1434, 1554, 910, 1018, 568, 621, 811, 606, 269, 910, 1018, 568, 621, 811, 982, 2048, 32597, 11313, 6902, 621, 20475, 16858, 585, 17761, 2967, 1014, 10530, 827, 519, 5836, 24222, 11587, 267, 18941, 267, 11419, 267, 17493, 1183, 5942, 522, 25697, 1412, 664, 320, 267, 519, 12181, 540, 269, 2659, 1394, 593, 519, 5070, 1412, 338, 2451, 547, 798, 1434, 267, 543, 649, 20688, 1862, 7909, 1131, 581, 1447, 1317, 540, 602, 7508, 6749, 269, 1152, 950, 707, 3068, 1793, 11474, 256, 5808, 3217, 1416, 540, 1152, 1018, 649, 2648, 27374, 1524, 267, 1346, 2630, 616, 2469, 909, 2219, 723, 256, 3738, 17761, 2967, 1014, 10530, 827, 519, 5836, 4171, 2038, 6640, 1289, 729, 1419, 513, 5365, 547, 666, 3996, 547, 979, 610, 1862, 1677, 5108, 998, 16127, 1412, 338, 5711, 2245, 29523, 540, 519, 737, 1470, 20660, 630, 1490, 16824, 6253, 19042, 1225, 548, 342, 16532, 4171, 1702, 568, 28011, 1656, 27173, 777, 10440, 1412, 513, 522, 328, 544, 4141, 25697, 1412, 1446, 630, 476, 4391, 272, 15426, 519, 10936, 689, 519, 2296, 14776, 269, 1548, 649, 616, 2560, 16127, 568, 1158, 3146, 11471, 585, 922, 4190, 8916, 543, 2807, 27817, 3297, 15798, 17850, 338, 593, 519, 17774, 31115, 568, 5667, 330, 2683, 267, 519, 960, 568, 2944, 269, 11316, 1412, 1775, 1775, 25697, 1412, 3626, 630, 476, 30020, 15426, 25014, 3821, 3057, 10620, 21823, 621, 269, 15566, 547, 798, 1434, 267, 543, 918, 1695, 592, 14241, 267, 607, 1134, 607, 12303, 782, 15304, 338, 3795, 540, 519, 666, 4141, 2244, 593, 22586, 1862, 898, 609, 5595, 10530, 945, 3217, 1416, 540, 1010, 22590, 814, 2479, 1336, 873, 13881, 676, 2807, 6178, 5809, 519, 7362, 540, 2842, 269, 568, 6444, 676, 519, 6107, 519, 6329, 267, 855, 922, 21055, 2495, 2048, 256, 18087, 812, 340, 25697, 262, 1575, 340, 10300, 334, 1412, 14900, 522, 25697, 4779, 3570, 630, 476, 30116, 278, 15426, 25500, 593, 621, 547, 1862, 661, 807, 1100, 737, 1695, 328, 737, 4141, 522, 25697, 1412, 664, 320, 630, 476, 16348, 277, 15426, 27402, 540, 922, 267, 256, 24789, 538, 16127, 267, 6480, 525, 814, 596, 4988, 630, 476, 3192, 280, 15426, 24789, 538, 16127, 267, 1325, 2129, 320, 811, 1862, 27173, 16562, 630, 476, 28803, 272, 15426, 700, 12710, 3738, 4639, 20129, 2557, 2372, 1774, 547, 16127, 610, 2871, 600, 3001, 3842, 907, 13201, 1185, 513, 1360, 1713, 1909, 538, 6965, 2094, 519, 21554, 540, 3294, 269, 23582, 543, 3486, 26708, 11288, 547, 543, 689, 16127, 267, 2871, 600, 543, 519, 24475, 519, 1862, 6496, 562, 1405, 723, 873, 616, 519, 1079, 1913, 1034, 1419, 1031, 547, 3277, 547, 6070, 4248, 267, 5836, 269, 8921, 1554, 910, 547, 2490, 519, 3946, 27374, 1524, 267, 1346, 2630, 616, 2469, 909, 2490, 3946, 1862, 9977, 568, 519, 9759, 1369, 519, 9997, 543, 15354, 593, 519, 17774, 513, 22530, 819, 267, 922, 269, 623, 10107, 6529, 568, 1932, 2110, 2620, 2463, 585, 519, 1216, 616, 519, 1079, 1913, 1034, 1419, 1031, 3277, 1421, 6480, 525, 814, 596, 4988, 552, 879, 267, 21674, 7467, 4964, 2030, 737, 14900, 267, 11316, 2103, 723, 5402, 21374, 256, 634, 4365, 538, 2387, 744, 548, 5979, 1100, 2387, 552, 879, 267, 21674, 7467, 4964, 581, 5433, 3096, 1152, 513, 2110, 1899, 513, 1862, 2986, 2441, 1100, 25697, 3288, 1412, 3626, 630, 476, 21327, 15426, 729, 4708, 1129, 519, 1862, 772, 1088, 612, 1004, 267, 899, 26348, 538, 513, 8806, 13680, 23827, 894, 4990, 540, 1259, 513, 6284, 649, 1862, 23566, 986, 2471, 693, 4262, 269, 547, 1745, 24789, 538, 16127, 267, 2871, 600, 543, 519, 13272, 568, 6603, 6585, 7622, 269, 9612, 585, 606, 3169, 8360, 676, 4478, 621, 609, 5595, 10530, 28551, 568, 17761, 2967, 1014, 10530, 827, 519, 5836, 1472, 519, 11783, 9737, 2534, 593, 2244, 543, 538, 519, 5070, 666, 3277, 547, 6070, 4248, 267, 4604, 269, 2986, 16127, 949, 581, 2938, 607, 513, 1650, 540, 623, 10440, 1412, 513, 2868, 334, 24222, 610, 2783, 1732, 982, 596, 2451, 621, 2141, 602, 1018, 649, 2648, 982, 606, 791, 5966, 827, 1862, 570, 1716, 602, 25500, 338, 936, 519, 3915, 3298, 616, 693, 1964, 269, 7735, 547, 6432, 547, 891, 1455, 22963, 1913, 9275, 269, 717, 9312, 676, 6307, 918, 1177, 6511, 623, 4157, 14241, 543, 666, 3277, 547, 519, 5045, 267, 616, 2219, 547, 723, 8452, 1472, 256, 5020, 540, 519, 737, 1470, 20660, 630, 1490, 16824, 6253, 19042, 1225, 548, 342, 16532, 4171, 2038, 6640, 1289, 729, 1419, 513, 547, 1862, 3143, 25697, 3288, 1412, 3626, 630, 476, 21327, 15426, 1332, 9350, 269, 938, 3896, 6965, 267, 543, 8360, 1108, 1373, 22963, 544, 752, 8643, 1862, 1358, 1289, 2933, 1183, 5942, 522, 25697, 4779, 3570, 630, 476, 15704, 280, 15426, 2263, 519, 9510, 267, 1034, 543, 563, 16391, 545, 10787, 916, 22312, 9098, 267, 9697, 667, 1221, 3245, 15887, 625, 28404, 267, 11894, 2142, 753, 23268, 267, 700, 617, 652, 541, 10060, 12668, 267, 18234, 22458, 5516, 267, 25007, 20710, 2471, 11473, 1280, 8866, 267, 15391, 532, 8092, 1280, 22312, 769, 7147, 267, 23592, 20996, 7177, 4530, 267, 0, 14257, 476, 2537, 267, 476, 1001, 271, 6440, 589, 10316, 900, 13955, 8276, 817, 1184, 814, 849, 1044, 2919, 269, 898, 10905, 519, 2934, 540, 519, 900, 13955, 1184, 267, 799, 3029, 4874, 8117, 611, 1329, 324, 3735, 343, 543, 21910, 338, 18908, 16867, 543, 1035, 787, 23127, 527, 686, 548, 267, 543, 519, 2527, 1184, 267, 799, 2306, 519, 18908, 16867, 1035, 787, 23127, 527, 686, 548, 5057, 269, 901, 1935, 14998, 519, 2504, 540, 513, 2647, 2039, 540, 589, 7034, 2472, 563, 4364, 1756, 269, 24484, 568, 835, 540, 519, 1898, 3334, 538, 1004, 781, 2729, 269, 2060, 519, 946, 540, 519, 5862, 267, 1004, 666, 5968, 1142, 824, 543, 1256, 1305, 519, 4341, 538, 519, 2486, 269, 901, 3561, 786, 5631, 1459, 513, 5663, 1184, 540, 3735, 343, 1790, 5593, 2504, 543, 513, 6476, 540, 1079, 1114, 2010, 540, 19267, 563, 13356, 476, 1428, 267, 476, 1001, 279, 6440, 1215, 547, 23703, 519, 24306, 1299, 853, 2794, 540, 513, 10326, 9453, 6226, 3101, 898, 5455, 269, 634, 15864, 1505, 540, 11318, 513, 3529, 588, 2794, 543, 922, 5072, 3217, 3476, 267, 855, 568, 1454, 1447, 6693, 13971, 476, 1789, 267, 476, 1001, 280, 6440, 24484, 5663, 1184, 630, 1993, 1169, 2186, 264, 630, 11947, 2298, 693, 1970, 1942, 1070, 649, 2285, 596, 2698, 6044, 609, 7044, 563, 13202, 476, 1691, 267, 476, 1708, 271, 6440, 4746, 1572, 27948, 6775, 610, 3327, 27948, 267, 3327, 6775, 5161, 540, 1360, 6094, 22204, 540, 519, 3693, 3327, 269, 1452, 11103, 723, 1164, 28995, 4222, 543, 616, 5393, 2178, 585, 741, 2450, 269, 769, 1249, 267, 835, 1106, 540, 3327, 6775, 9789, 3327, 31407, 4209, 28934, 2808, 519, 16999, 1570, 2139, 269, 12539, 6775, 3156, 1331, 4070, 267, 4702, 267, 23825, 267, 1164, 26024, 4429, 15037, 476, 2190, 267, 476, 1001, 272, 6440, 20491, 281, 589, 1900, 538, 519, 2504, 1184, 269, 6201, 281, 5969, 267, 11544, 267, 7206, 267, 10198, 269, 4518, 4099, 281, 634, 3684, 267, 7606, 267, 2645, 267, 610, 21527, 1031, 547, 1685, 519, 5106, 269, 13242, 585, 8159, 4390, 950, 20319, 269, 6201, 281, 4964, 3684, 267, 13909, 4600, 267, 24484, 10936, 518, 269, 27953, 281, 634, 5311, 543, 3259, 540, 942, 585, 4238, 602, 4429, 515, 908, 568, 3622, 1031, 538, 519, 3803, 17975, 1184, 269, 476, 2420, 269, 20969, 269, 14378, 269, 14862, 269, 275, 595, 8463, 543, 5685, 5109, 4107, 5374, 5205, 835, 540, 1079, 2101, 11507, 547, 3803, 4393, 269, 634, 1034, 1455, 18138, 1505, 568, 6024, 16213, 269, 769, 713, 1184, 267, 513, 17078, 548, 609, 25183, 5374, 568, 24850, 547, 519, 1283, 540, 513, 454, 11045, 569, 20456, 5004, 6713, 2433, 18242, 5832, 2359, 568, 3989, 607, 519, 1374, 267, 4058, 267, 11056, 267, 1852, 267, 543, 5464, 540, 3761, 5832, 2238, 609, 519, 6662, 540, 2870, 2121, 1871, 267, 2679, 513, 8013, 5989, 267, 16107, 5001, 17825, 267, 15222, 1944, 3761, 609, 3747, 543, 7893, 2773, 11451, 563, 21316, 2207, 24361, 670, 3198, 13036, 5058, 281, 20709, 4927, 581, 5265, 8036, 593, 519, 1655, 2853, 540, 1570, 7829, 2094, 5862, 2504, 568, 519, 1826, 540, 2504, 1184, 602, 3340, 513, 2603, 540, 6464, 269, 634, 1702, 540, 1570, 7829, 786, 2611, 1283, 6161, 538, 519, 2504, 1184, 540, 519, 2872, 563, 303, 3174, 11507, 585, 5374, 269, 10656, 623, 822, 559, 542, 693, 2622, 5890, 334, 476, 1001, 271, 630, 11990, 918, 7238, 3944, 9934, 264, 3267, 476, 736, 268, 1789, 260, 540, 16150, 568, 3773, 547, 713, 1184, 267, 5097, 547, 10038, 519, 2837, 269, 769, 519, 11272, 20211, 30166, 864, 8905, 630, 12788, 293, 264, 16150, 1031, 269, 901, 568, 519, 1121, 601, 1154, 540, 5374, 1510, 519, 946, 540, 3119, 6151, 2326, 269, 8307, 5135, 543, 18654, 616, 3773, 547, 12622, 1022, 23606, 563, 303, 1156, 565, 630, 10193, 1572, 1286, 26382, 3679, 264, 568, 606, 23599, 5214, 7623, 609, 519, 7636, 4542, 595, 476, 277, 670, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5111, 1269, 2641, 267, 279, 1724, 267, 4352, 23390, 945, 723, 6192, 13995, 11400, 689, 519, 1977, 8274, 585, 27872, 630, 27398, 13235, 454, 514, 2407, 1977, 16340, 26511, 3213, 563, 28899, 772, 2529, 269, 8613, 3060, 269, 898, 3459, 950, 519, 9750, 3084, 5925, 3060, 715, 6195, 8237, 883, 519, 5094, 4414, 543, 9791, 5121, 538, 476, 4572, 279, 269, 3738, 538, 13106, 18352, 9647, 18352, 1315, 528, 6440, 628, 582, 6440, 923, 270, 11196, 328, 802, 264, 519, 2361, 540, 1702, 11341, 547, 9647, 4680, 543, 741, 946, 563, 333, 269, 2073, 1160, 560, 12060, 543, 16677, 2180, 923, 538, 1312, 9647, 18352, 543, 14382, 12060, 949, 2253, 693, 1472, 1269, 2764, 267, 10384, 269, 4340, 547, 519, 476, 1220, 275, 21191, 8008, 21952, 13437, 543, 3281, 18730, 7797, 267, 519, 3328, 744, 261, 303, 27637, 609, 13235, 13995, 543, 476, 1724, 1296, 540, 1995, 1274, 985, 1269, 2412, 267, 3393, 275, 829, 1032, 269, 3353, 5974, 945, 3136, 741, 2866, 543, 1831, 9439, 666, 7118, 1256, 811, 269, 634, 21191, 8008, 1867, 1336, 602, 519, 3328, 13235, 2275, 1068, 1881, 9647, 582, 626, 3491, 560, 2867, 626, 609, 476, 1428, 1296, 540, 1995, 1274, 985, 1269, 11011, 267, 3393, 273, 563, 6097, 547, 519, 772, 2529, 269, 4972, 540, 8534, 781, 27706, 31326, 18361, 267, 11678, 538, 744, 261, 303, 616, 15810, 547, 1332, 5488, 982, 3328, 689, 476, 1220, 275, 268, 1001, 275, 269, 21191, 8008, 4967, 602, 972, 949, 581, 513, 17732, 540, 4648, 538, 519, 2361, 676, 476, 10711, 271, 1759, 593, 2551, 2208, 4805, 269, 3502, 1152, 786, 938, 10172, 2551, 1711, 811, 991, 267, 855, 519, 2333, 538, 8377, 267, 3987, 267, 8482, 543, 12263, 666, 1291, 547, 1072, 2042, 602, 2154, 9647, 4680, 543, 14382, 12330, 563, 2690, 811, 1344, 827, 2069, 585, 513, 4876, 538, 744, 261, 303, 267, 1934, 616, 930, 5680, 4609, 547, 3643, 563, 763, 1977, 9142, 540, 13106, 582, 1235, 543, 1160, 560, 2867, 1235, 8940, 269, 641, 3249, 619, 3820, 454, 763, 1977, 8274, 585, 27872, 538, 13106, 18352, 267, 1160, 560, 12060, 543, 16677, 2180, 923, 8940, 269, 629, 19817, 3820, 454, 763, 8189, 593, 6452, 1042, 2787, 540, 20466, 2657, 4065, 15789, 5291, 2517, 8619, 320, 515, 335, 3820, 454, 763, 2817, 8189, 593, 13106, 5328, 543, 1160, 560, 4854, 4065, 8940, 8542, 322, 2100, 3820, 0, 14937, 14315, 31948, 4563, 14315, 281, 1684, 596, 899, 713, 2012, 888, 7476, 3860, 609, 4563, 14315, 1923, 5410, 547, 1592, 630, 271, 994, 14937, 14315, 2495, 543, 2012, 5169, 454, 14937, 14315, 1422, 321, 2000, 871, 25975, 8573, 333, 267, 1025, 5416, 9984, 1188, 1532, 1248, 315, 607, 513, 7911, 781, 2012, 568, 540, 6196, 2296, 5169, 267, 543, 519, 2495, 540, 4563, 14315, 568, 834, 18872, 2156, 758, 2668, 9255, 2012, 269, 13242, 607, 513, 2016, 2012, 6140, 538, 519, 476, 866, 628, 2540, 269, 769, 10430, 267, 834, 14315, 257, 568, 519, 2165, 585, 513, 2370, 2156, 758, 563, 14937, 14315, 814, 476, 273, 14583, 3029, 281, 4563, 10767, 928, 543, 2349, 698, 14315, 563, 28082, 640, 540, 4563, 14315, 454, 14937, 14315, 568, 711, 513, 2442, 1101, 2012, 585, 2367, 855, 513, 1360, 2442, 21519, 610, 2063, 2012, 585, 782, 1004, 630, 258, 278, 1789, 856, 540, 476, 6434, 278, 4200, 1040, 630, 1960, 271, 772, 2529, 269, 17227, 994, 11514, 2452, 539, 2630, 568, 519, 4816, 4408, 8560, 540, 519, 2012, 4563, 14315, 585, 8695, 269, 630, 1001, 271, 7194, 264, 14424, 4563, 14315, 609, 922, 14583, 3029, 543, 1644, 7911, 4816, 4408, 269, 0, 1432, 3123, 13046, 888, 307, 11624, 666, 2049, 538, 1022, 540, 519, 2185, 6810, 540, 519, 9018, 1274, 267, 1647, 1274, 267, 6418, 1274, 543, 519, 2634, 269, 2368, 13046, 568, 2808, 547, 581, 3339, 269, 1280, 3236, 267, 952, 596, 4283, 513, 3280, 6169, 4055, 267, 519, 3339, 3544, 6846, 568, 1100, 3476, 1459, 269, 769, 713, 2013, 267, 596, 786, 5612, 1831, 3222, 540, 2212, 4992, 538, 707, 1274, 269, 7201, 3339, 25896, 267, 649, 798, 711, 5873, 519, 2212, 4992, 1317, 519, 21089, 689, 3544, 3625, 873, 269, 4634, 1274, 14589, 610, 513, 4914, 1560, 538, 519, 5007, 1274, 568, 3743, 585, 17527, 856, 4282, 21089, 543, 1818, 721, 811, 3222, 540, 519, 2212, 4992, 269, 29079, 267, 3968, 540, 2068, 540, 519, 1647, 1274, 5642, 610, 1274, 14941, 849, 666, 2014, 13046, 563, 21675, 585, 13046, 912, 10214, 1498, 1978, 5061, 3100, 547, 581, 513, 2009, 3070, 585, 17212, 1324, 13046, 789, 616, 711, 585, 3025, 269, 1403, 596, 7985, 689, 930, 1106, 540, 13046, 543, 4782, 711, 547, 1491, 5061, 972, 616, 824, 3681, 2139, 563, 2791, 666, 2015, 1210, 2067, 610, 1753, 24403, 14319, 547, 948, 14867, 707, 2589, 269, 3509, 1004, 723, 1185, 1390, 2164, 609, 891, 14319, 4352, 267, 519, 2164, 798, 4268, 689, 1268, 547, 1268, 4470, 593, 519, 1826, 540, 13046, 789, 723, 543, 875, 4049, 621, 568, 563, 2005, 568, 1271, 547, 4063, 602, 267, 11735, 689, 30753, 543, 1521, 762, 2564, 2175, 602, 666, 2014, 13046, 971, 607, 267, 1274, 3968, 267, 2208, 538, 519, 1274, 267, 11178, 29840, 267, 31250, 3987, 267, 1164, 1973, 2604, 543, 16050, 2068, 267, 27955, 13046, 3833, 2352, 563, 4913, 267, 972, 616, 1082, 4244, 1875, 268, 2564, 14319, 585, 13046, 267, 2919, 547, 948, 1346, 3413, 21719, 2569, 519, 2157, 540, 6846, 269, 1656, 267, 7654, 811, 1271, 267, 1451, 547, 2661, 609, 513, 1978, 1377, 540, 13046, 602, 786, 1577, 519, 3411, 19907, 723, 1964, 995, 3207, 267, 543, 581, 2111, 547, 7119, 538, 519, 2238, 602, 2306, 2635, 2713, 1187, 563, 763, 14319, 585, 13046, 949, 2887, 883, 1896, 3376, 6688, 267, 1519, 2168, 11257, 630, 328, 4318, 269, 24391, 610, 16909, 14319, 267, 31497, 1416, 543, 519, 899, 264, 543, 2790, 610, 811, 5289, 5829, 5574, 547, 13468, 519, 20714, 766, 540, 13046, 563, 1607, 2376, 786, 3382, 476, 276, 540, 519, 1082, 9308, 1107, 1644, 5574, 585, 13046, 269, 2986, 1576, 267, 5225, 1810, 1406, 8263, 602, 891, 476, 276, 6700, 14319, 585, 13046, 616, 519, 1034, 2500, 267, 610, 519, 1034, 678, 16647, 983, 4244, 5574, 2139, 269, 1703, 616, 12777, 5215, 540, 5732, 2500, 1875, 2173, 20510, 5574, 585, 519, 627, 626, 1782, 267, 945, 657, 3107, 543, 887, 2130, 21089, 2404, 609, 13046, 269, 0, 304, 269, 594, 12630, 25798, 6653, 15837, 30676, 630, 1492, 2186, 609, 3109, 3762, 264, 538, 2462, 17428, 609, 12908, 13203, 338, 267, 2261, 580, 9529, 267, 4620, 684, 5362, 267, 3092, 1421, 585, 519, 1101, 942, 713, 2250, 4832, 269, 594, 729, 4278, 2683, 609, 519, 2164, 607, 519, 30676, 8057, 899, 18047, 267, 2870, 513, 3109, 4282, 547, 1397, 1055, 519, 5810, 540, 519, 824, 2371, 256, 7102, 3118, 267, 950, 594, 546, 22981, 519, 9115, 540, 519, 11149, 883, 1250, 11003, 18061, 513, 7008, 540, 4374, 3516, 267, 594, 1336, 1896, 1804, 267, 15837, 6438, 3889, 7923, 547, 519, 6653, 15837, 11903, 25568, 256, 3657, 891, 2731, 3020, 6653, 12277, 602, 594, 1223, 946, 1107, 6148, 585, 938, 21175, 12129, 888, 288, 269, 8786, 267, 596, 666, 3548, 519, 16321, 748, 3597, 267, 607, 621, 568, 513, 3020, 6653, 15837, 630, 296, 335, 558, 4141, 320, 10627, 21648, 1040, 1717, 267, 594, 1131, 13657, 1996, 3257, 865, 952, 596, 1031, 1022, 2186, 540, 13851, 593, 707, 8708, 2371, 713, 2250, 4832, 269, 4746, 267, 581, 5423, 547, 581, 25922, 538, 519, 8137, 540, 519, 3043, 1922, 956, 1117, 8685, 619, 607, 789, 2461, 711, 5176, 607, 5848, 543, 6653, 607, 1346, 540, 519, 10538, 1922, 956, 1117, 28212, 971, 607, 2048, 297, 1168, 749, 16224, 2048, 6826, 320, 675, 326, 731, 16224, 543, 1866, 563, 21156, 540, 4189, 519, 8685, 619, 267, 596, 949, 1616, 547, 4562, 656, 873, 538, 11149, 540, 4195, 267, 24435, 332, 1601, 2861, 29238, 3037, 269, 5590, 519, 17428, 538, 513, 6505, 267, 3636, 4055, 267, 1832, 519, 3037, 5848, 267, 543, 1369, 1614, 610, 2185, 4374, 596, 3580, 1294, 1896, 1007, 22534, 1402, 4771, 909, 856, 540, 519, 8708, 269, 769, 1249, 267, 2899, 519, 11710, 723, 6603, 513, 7008, 540, 3952, 538, 3259, 267, 2759, 1055, 519, 1101, 3723, 543, 3597, 519, 11710, 538, 5848, 29238, 3037, 610, 513, 4837, 540, 1216, 547, 1376, 811, 1007, 2371, 269, 1635, 942, 519, 4960, 540, 15470, 814, 5293, 267, 596, 949, 723, 2614, 12082, 27191, 540, 707, 25798, 6653, 15837, 11903, 547, 4562, 656, 782, 540, 707, 11149, 2336, 7775, 333, 4442, 6653, 15837, 30676, 723, 1831, 513, 5458, 5734, 607, 5993, 28945, 2371, 585, 1896, 4128, 563, 5575, 267, 789, 2461, 28457, 3585, 2653, 547, 3597, 689, 27191, 543, 1332, 883, 513, 2892, 762, 2030, 1369, 513, 2339, 540, 4374, 269, 1656, 267, 2094, 6800, 1265, 519, 6978, 5546, 543, 4778, 540, 891, 30676, 547, 581, 3833, 16678, 267, 789, 2461, 1419, 8348, 547, 2628, 513, 14167, 3902, 585, 873, 269, 4475, 267, 713, 2030, 568, 606, 5393, 19311, 2030, 585, 8511, 25210, 547, 3132, 563, 13553, 267, 538, 519, 5045, 267, 891, 2371, 616, 4922, 1031, 607, 5993, 2666, 1723, 951, 538, 3905, 267, 3819, 267, 22501, 11934, 1141, 513, 5266, 1507, 1297, 540, 2371, 666, 3382, 513, 2603, 540, 2666, 1369, 4374, 269, 4475, 267, 1310, 11423, 707, 11149, 609, 2371, 596, 3580, 581, 4358, 689, 27191, 713, 5162, 267, 2015, 1210, 519, 2451, 13569, 607, 513, 2666, 16225, 538, 707, 5251, 1985, 4832, 2336, 4517, 267, 6368, 267, 1317, 540, 713, 968, 1245, 892, 630, 338, 11548, 15837, 267, 1310, 782, 267, 814, 1044, 16916, 585, 7366, 540, 1296, 264, 2030, 779, 1007, 1922, 895, 8560, 267, 649, 3580, 899, 1265, 513, 1297, 540, 1007, 31047, 609, 606, 2810, 2039, 540, 10565, 6978, 4162, 693, 2199, 3039, 17346, 1282, 519, 1296, 547, 2097, 269, 0, 763, 1101, 2594, 540, 519, 2413, 10160, 540, 918, 558, 5451, 668, 7232, 338, 345, 614, 24555, 6019, 7389, 689, 519, 476, 1626, 628, 5181, 476, 5002, 273, 950, 621, 729, 1152, 513, 1507, 11175, 269, 4653, 519, 2749, 568, 519, 1858, 781, 7214, 267, 2686, 543, 2804, 8998, 563, 763, 991, 547, 2777, 519, 11668, 3196, 2838, 676, 519, 5599, 2872, 602, 3459, 547, 32550, 880, 538, 476, 6245, 277, 4547, 883, 6228, 519, 4600, 262, 10125, 602, 2663, 2919, 883, 519, 2749, 540, 570, 520, 629, 5451, 5500, 320, 269, 634, 1614, 17260, 540, 1325, 338, 6759, 326, 718, 320, 267, 674, 1564, 385, 495, 326, 718, 320, 543, 645, 17505, 327, 5866, 3459, 547, 4228, 4724, 519, 15183, 269, 634, 2749, 781, 1699, 2012, 7389, 689, 476, 3707, 278, 269, 769, 513, 7766, 2797, 3375, 621, 729, 11280, 519, 10315, 10160, 563, 7212, 519, 2012, 540, 519, 2749, 814, 17477, 519, 2262, 1412, 332, 710, 262, 630, 321, 5451, 5500, 320, 1070, 519, 5599, 2872, 30403, 5665, 1934, 1296, 3516, 269, 31603, 1472, 519, 5449, 1744, 10762, 3143, 476, 1428, 267, 519, 2063, 5665, 14788, 540, 519, 5755, 9378, 267, 519, 1930, 25101, 5599, 9754, 568, 606, 28048, 12576, 540, 519, 5599, 2250, 563, 16449, 570, 520, 629, 5451, 5500, 320, 781, 4609, 540, 2067, 1719, 568, 519, 590, 29992, 574, 29190, 1141, 513, 1713, 1297, 540, 15456, 9060, 723, 1044, 4362, 269, 1323, 3872, 13009, 814, 1044, 2919, 547, 1118, 519, 2067, 7221, 3362, 3015, 547, 8436, 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 ]
[ 267, 11864, 5066, 519, 2030, 593, 519, 2666, 1070, 10365, 543, 513, 3099, 540, 16909, 10664, 269, 0, 29730, 13305, 5691, 1436, 543, 11149, 538, 8837, 18218, 454, 1607, 13838, 6257, 875, 547, 2936, 543, 19022, 15214, 13305, 966, 16039, 543, 11149, 269, 634, 9074, 6227, 1883, 2934, 540, 15214, 13305, 538, 8837, 18218, 267, 6257, 966, 300, 5468, 267, 543, 875, 547, 19022, 966, 16039, 538, 15214, 13305, 269, 634, 9074, 849, 6227, 3354, 4066, 1031, 609, 5691, 1436, 267, 971, 607, 13104, 539, 966, 16039, 267, 21118, 26851, 6796, 267, 14721, 2389, 27434, 543, 570, 15014, 2389, 27434, 1140, 652, 566, 267, 543, 918, 4916, 563, 268, 15214, 13305, 538, 8837, 18218, 454, 268, 4762, 580, 1005, 966, 16039, 454, 268, 27116, 1005, 5691, 1436, 538, 8837, 18218, 454, 268, 29597, 619, 538, 8837, 18218, 454, 268, 11137, 540, 918, 21310, 6339, 525, 454, 24248, 2433, 20074, 543, 8848, 1005, 5691, 1436, 538, 8837, 18218, 454, 268, 12861, 543, 8848, 1005, 966, 16039, 454, 268, 12305, 532, 543, 8848, 1005, 11149, 454, 5475, 11264, 713, 9074, 267, 1053, 786, 581, 2111, 547, 912, 268, 14674, 519, 1883, 2934, 540, 15214, 13305, 538, 8837, 18218, 563, 268, 14674, 966, 300, 5468, 543, 11766, 543, 19022, 966, 16039, 538, 15214, 13305, 563, 268, 11512, 519, 946, 540, 3354, 4066, 585, 5691, 1436, 563, 268, 14674, 543, 11766, 11149, 538, 8837, 18218, 563, 268, 11512, 519, 946, 540, 918, 21310, 6339, 525, 593, 8837, 269, 0, 1692, 798, 649, 1521, 5312, 11522, 888, 553, 628, 2742, 267, 3679, 17406, 543, 2042, 609, 519, 9224, 543, 5609, 4926, 269, 1403, 891, 2175, 616, 5701, 519, 5312, 11522, 1419, 3936, 956, 1524, 16638, 513, 2603, 540, 1004, 5312, 23472, 568, 1644, 547, 2175, 971, 607, 454, 22349, 8676, 568, 2356, 5701, 609, 23254, 619, 543, 3006, 513, 2110, 454, 322, 6847, 540, 32104, 14342, 563, 8269, 12999, 568, 2356, 5701, 609, 14342, 547, 2569, 7181, 3679, 563, 3682, 21793, 609, 519, 9224, 543, 5609, 4926, 630, 324, 3052, 269, 28591, 4345, 264, 616, 2356, 454, 339, 8972, 609, 17725, 838, 7590, 543, 3006, 1232, 784, 652, 1218, 543, 454, 2171, 949, 849, 1865, 15175, 1978, 6527, 547, 948, 2087, 454, 20365, 11522, 630, 324, 3052, 269, 4244, 1973, 2604, 6527, 1916, 288, 18195, 800, 5312, 11522, 568, 950, 519, 11522, 1281, 711, 2087, 454, 5976, 2126, 540, 519, 1657, 2175, 543, 32584, 5312, 454, 322, 965, 568, 950, 891, 610, 824, 2175, 3112, 581, 1336, 269, 1284, 1589, 454, 1492, 1292, 1966, 538, 18195, 800, 543, 32584, 5312, 454, 322, 965, 568, 602, 519, 13285, 9013, 11522, 1831, 1360, 6213, 563, 2026, 11522, 28810, 27383, 568, 3361, 676, 936, 3146, 5562, 13285, 2676, 339, 13015, 6663, 547, 3077, 891, 13285, 543, 2569, 741, 454, 22529, 4369, 269, 1284, 2119, 543, 3035, 713, 609, 14278, 1670, 543, 5924, 1875, 14428, 29108, 1670, 2126, 563, 7343, 6918, 2954, 476, 2004, 260, 540, 938, 2550, 20496, 14278, 1670, 2126, 543, 1294, 513, 4324, 547, 741, 2949, 23472, 269, 1717, 267, 513, 8167, 540, 2550, 949, 711, 581, 5078, 585, 891, 5061, 267, 610, 949, 1995, 2427, 2360, 971, 607, 15353, 267, 968, 28090, 20893, 892, 610, 19228, 563, 5415, 5063, 267, 1875, 14428, 29108, 1670, 2126, 676, 4633, 16293, 630, 20784, 25629, 1070, 814, 3254, 2318, 9283, 538, 5312, 11522, 676, 968, 4958, 20995, 892, 519, 561, 28449, 269, 901, 5097, 2882, 3461, 2069, 267, 609, 513, 1445, 593, 4227, 5580, 21572, 8417, 543, 4887, 8082, 543, 3246, 11522, 1852, 5751, 269, 2368, 540, 938, 2550, 4782, 547, 4693, 20793, 307, 1354, 6527, 267, 15029, 1866, 949, 1904, 585, 513, 4999, 540, 519, 1079, 563, 2690, 2550, 945, 616, 18195, 800, 630, 328, 4318, 723, 1100, 3210, 264, 547, 1022, 540, 519, 5574, 649, 4867, 1683, 267, 649, 949, 16436, 596, 547, 7119, 538, 1382, 269, 901, 2337, 721, 547, 1020, 811, 1808, 543, 6098, 5574, 585, 11522, 28810, 27383, 1107, 1294, 938, 3194, 3296, 585, 811, 1344, 269, 0, 292, 6141, 3043, 12566, 630, 303, 19434, 588, 13681, 639, 1070, 849, 1572, 7187, 3043, 12566, 267, 568, 835, 540, 519, 1034, 3407, 4054, 538, 9456, 3345, 3013, 269, 6969, 519, 12625, 540, 3043, 2367, 267, 20424, 6763, 8659, 606, 6059, 476, 274, 269, 275, 5479, 544, 23326, 630, 7785, 5479, 535, 321, 332, 264, 540, 29421, 269, 1635, 519, 3735, 476, 5197, 271, 779, 1034, 540, 1346, 5318, 6763, 1185, 1044, 29429, 269, 5221, 621, 568, 1851, 519, 811, 4028, 3395, 7187, 4104, 598, 28875, 267, 621, 568, 606, 5140, 3529, 585, 556, 16396, 3785, 267, 30120, 267, 543, 8285, 4054, 543, 814, 519, 11984, 540, 2348, 1044, 835, 540, 519, 811, 4922, 12630, 1977, 4054, 563, 1607, 3529, 568, 1634, 547, 519, 7111, 1977, 670, 7596, 523, 6242, 2317, 324, 630, 296, 549, 638, 12251, 4182, 264, 607, 519, 10326, 540, 13458, 269, 898, 568, 849, 1634, 607, 519, 1284, 2096, 1926, 12566, 538, 519, 2136, 8003, 267, 3957, 1310, 6723, 1284, 2096, 1926, 945, 4547, 621, 547, 4789, 538, 476, 14341, 271, 563, 8867, 2378, 281, 17451, 13582, 19271, 267, 476, 274, 547, 476, 276, 6279, 1279, 267, 609, 2947, 267, 28795, 267, 8465, 19271, 829, 3673, 1834, 282, 3673, 1834, 1352, 987, 28301, 267, 19271, 2408, 4544, 25984, 1317, 540, 476, 274, 610, 811, 1350, 14072, 748, 3515, 540, 588, 558, 1092, 563, 293, 12294, 1923, 25994, 281, 15661, 568, 1395, 4141, 4109, 282, 9038, 20425, 267, 5835, 267, 538, 13421, 2282, 7936, 4388, 282, 8951, 1769, 3039, 267, 512, 532, 539, 538, 2699, 267, 693, 7475, 540, 8371, 563, 293, 8816, 281, 1230, 525, 616, 476, 275, 547, 476, 278, 6279, 1279, 267, 20425, 267, 609, 5394, 267, 17031, 13409, 10253, 267, 1360, 18300, 748, 267, 28703, 593, 513, 1279, 31537, 543, 1319, 1005, 538, 3735, 4832, 563, 307, 23143, 281, 6215, 2658, 267, 12457, 25984, 547, 10538, 29744, 538, 2681, 282, 19512, 1279, 267, 9065, 1355, 267, 26070, 6960, 563, 289, 1046, 281, 2201, 1762, 4054, 267, 6094, 267, 5347, 543, 12457, 25984, 609, 930, 14402, 5544, 1399, 15649, 282, 2663, 4742, 5394, 267, 26070, 6960, 547, 12457, 29744, 609, 7986, 29656, 1085, 3315, 267, 17031, 267, 1279, 31393, 543, 18632, 9663, 4900, 563, 13528, 281, 589, 1804, 3529, 609, 513, 1360, 2786, 17657, 1419, 8757, 1134, 936, 476, 1911, 3952, 538, 4463, 269, 634, 13862, 568, 598, 673, 950, 1762, 267, 2663, 3384, 5923, 6853, 267, 8880, 267, 15399, 9506, 8371, 563, 23921, 956, 281, 2571, 267, 8465, 267, 4544, 25984, 282, 476, 273, 892, 1700, 275, 892, 1279, 267, 476, 274, 21758, 267, 538, 15985, 956, 540, 2947, 269, 17451, 13582, 563, 289, 644, 338, 281, 8185, 18300, 748, 543, 20202, 267, 23599, 563, 290, 2158, 28795, 543, 555, 1941, 1652, 267, 476, 274, 892, 1700, 1015, 892, 1279, 543, 512, 1653, 532, 282, 1142, 4336, 2356, 12217, 1079, 13617, 539, 5452, 607, 798, 782, 5065, 533, 1149, 563, 305, 334, 1824, 281, 2647, 10825, 543, 26815, 2620, 267, 1510, 513, 3982, 7148, 10174, 563, 3891, 697, 540, 9921, 4054, 538, 2470, 476, 3199, 685, 1700, 8099, 685, 282, 4102, 9456, 598, 11717, 563, 288, 2471, 281, 23630, 476, 6110, 1296, 616, 2009, 282, 4122, 10301, 476, 1220, 1296, 540, 2085, 543, 949, 9765, 476, 14596, 563, 20124, 676, 27813, 717, 21289, 454, 18850, 9084, 543, 17905, 454, 303, 19434, 588, 13681, 639, 666, 581, 1336, 538, 4516, 281, 1715, 11398, 1633, 267, 25429, 32108, 267, 1715, 19839, 1873, 1157, 267, 13584, 11977, 6816, 267, 2372, 2946, 13069, 267, 14411, 267, 543, 31671, 20899, 282, 5333, 281, 853, 269, 24839, 543, 631, 1172, 601, 517, 282, 543, 7330, 281, 2353, 2829, 689, 16506, 267, 19578, 267, 13325, 267, 17996, 267, 17906, 543, 11908, 547, 519, 9533, 7909, 630, 21955, 532, 8419, 5148, 519, 3099, 538, 6792, 543, 30188, 269, 5853, 693, 4262, 1377, 538, 519, 3345, 267, 543, 909, 547, 476, 5611, 271, 544, 538, 519, 3162, 269, 2776, 325, 619, 1134, 1673, 11712, 11934, 543, 513, 3579, 267, 18519, 2916, 269, 22553, 6404, 6763, 609, 17578, 32256, 666, 611, 18424, 267, 2372, 2075, 639, 838, 1421, 610, 17793, 343, 19434, 5643, 545, 3570, 563, 763, 2916, 936, 519, 2039, 540, 3043, 12566, 568, 3579, 543, 18519, 269, 634, 3892, 540, 3043, 12566, 14626, 1938, 21230, 609, 602, 851, 540, 9456, 3345, 3013, 1141, 519, 5147, 2837, 25939, 1063, 476, 1240, 4113, 543, 476, 2537, 9180, 630, 4792, 4113, 543, 476, 10619, 4113, 674, 1916, 25486, 783, 13247, 9832, 689, 827, 476, 27944, 6515, 630, 736, 538, 264, 538, 7187, 16506, 547, 827, 476, 10711, 271, 6515, 630, 3199, 538, 264, 538, 32720, 11908, 269, 769, 519, 1858, 4478, 519, 4279, 20463, 267, 827, 1079, 22188, 540, 519, 13247, 4386, 1282, 519, 3636, 4005, 267, 4989, 547, 5181, 269, 22527, 3602, 267, 3368, 540, 519, 13247, 4386, 1282, 519, 3636, 4005, 269, 634, 3259, 540, 519, 3395, 4005, 9832, 689, 476, 3445, 547, 476, 5197, 2395, 563, 9961, 519, 2039, 540, 3043, 12566, 267, 13247, 568, 827, 476, 272, 547, 476, 272, 269, 276, 2053, 519, 21381, 689, 26484, 1863, 1216, 7252, 269, 16316, 1761, 21381, 268, 1098, 17508, 568, 1063, 476, 25396, 543, 476, 278, 1015, 6515, 269, 630, 1704, 543, 476, 2764, 538, 1070, 540, 799, 476, 6321, 547, 476, 6924, 2600, 4386, 538, 519, 3636, 4005, 269, 1703, 568, 513, 7509, 21045, 538, 782, 12405, 563, 30182, 3178, 540, 15470, 21774, 9832, 689, 827, 476, 1839, 4699, 630, 1015, 538, 264, 538, 519, 7013, 29630, 2103, 547, 811, 982, 476, 9965, 4699, 630, 3583, 538, 264, 538, 2694, 540, 3844, 543, 7187, 16506, 269, 19105, 5993, 6777, 6420, 9832, 689, 476, 1724, 4699, 630, 276, 538, 264, 538, 7187, 11908, 547, 811, 982, 476, 22724, 4699, 630, 1911, 538, 264, 538, 1715, 4789, 543, 7013, 4516, 563, 763, 2101, 3037, 9753, 1336, 538, 519, 3043, 12566, 2039, 616, 769, 1061, 529, 11169, 267, 8299, 529, 11169, 267, 1975, 617, 657, 11169, 267, 9980, 529, 11169, 267, 543, 1325, 325, 529, 11169, 269, 769, 1715, 4789, 519, 1271, 1016, 25364, 616, 23494, 27071, 610, 10169, 23494, 27071, 22501, 12074, 610, 14404, 1881, 5070, 543, 18574, 12074, 269, 4107, 540, 519, 2385, 2326, 616, 12620, 1470, 22381, 341, 658, 12074, 28175, 25364, 11978, 545, 772, 323, 677, 5782, 338, 267, 11978, 545, 12794, 680, 2180, 16104, 267, 543, 11978, 545, 772, 323, 2354, 600, 906, 282, 30961, 512, 1571, 28175, 25364, 19077, 545, 667, 22438, 549, 577, 516, 14186, 543, 19077, 545, 12794, 680, 2180, 16104, 282, 610, 649, 9312, 5337, 15667, 7725, 630, 331, 5366, 26543, 15998, 5631, 689, 649, 9312, 1230, 3118, 25342, 9984, 11357, 16766, 19077, 545, 12794, 680, 2180, 16104, 563, 19669, 12566, 9428, 593, 5176, 782, 519, 11934, 1369, 922, 2039, 267, 855, 3622, 2841, 525, 1655, 593, 1134, 27071, 22501, 11934, 540, 1970, 547, 5420, 3135, 2298, 269, 1452, 11934, 11863, 4023, 2208, 540, 3043, 12566, 855, 711, 2182, 6229, 338, 269, 2201, 891, 22501, 4609, 267, 3043, 12566, 1036, 10273, 919, 6923, 267, 2841, 525, 3362, 267, 543, 666, 581, 7307, 1034, 3927, 543, 17215, 269, 2201, 5420, 17856, 3293, 11934, 630, 338, 22929, 3138, 4461, 1070, 621, 786, 856, 3132, 1034, 824, 5065, 5010, 2249, 538, 1312, 4320, 543, 1871, 269, 6519, 12566, 849, 9428, 593, 5386, 22501, 3138, 4461, 543, 521, 2830, 2000, 27961, 11934, 609, 2901, 1434, 610, 15641, 539, 12775, 950, 972, 568, 1100, 2182, 6229, 6735, 1282, 519, 10661, 1974, 23829, 593, 2025, 4610, 543, 2250, 999, 267, 536, 4548, 267, 543, 9514, 17498, 269, 898, 814, 1044, 1336, 593, 10036, 11934, 543, 593, 14605, 27071, 610, 1360, 14605, 27071, 11934, 609, 2627, 544, 2432, 269, 898, 666, 581, 1360, 11327, 593, 891, 4609, 855, 2356, 4386, 1152, 607, 1367, 4054, 610, 538, 1507, 2516, 269, 901, 12566, 1058, 711, 581, 12630, 538, 5230, 10036, 11934, 269, 18648, 569, 27071, 5377, 2244, 4609, 543, 10575, 663, 1244, 11306, 616, 849, 4057, 5079, 585, 9544, 563, 305, 2167, 543, 5754, 1962, 1749, 454, 292, 6141, 3043, 12566, 568, 6719, 538, 519, 2136, 2276, 676, 519, 6093, 3099, 267, 18237, 639, 588, 13681, 639, 15254, 269, 588, 13681, 639, 269, 15616, 777, 553, 3043, 12566, 267, 623, 269, 588, 13681, 639, 15254, 269, 16584, 777, 18424, 267, 568, 5065, 538, 519, 10239, 540, 7013, 6792 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3180, 269, 8921, 267, 596, 3580, 991, 547, 4283, 519, 8700, 540, 519, 1570, 563, 1607, 786, 948, 519, 9498, 3313, 875, 2647, 540, 513, 17945, 519, 17684, 2115, 538, 1931, 547, 3251, 5150, 269, 7053, 267, 596, 3580, 991, 547, 4283, 519, 1826, 540, 3574, 610, 1570, 596, 2461, 1210, 269, 901, 568, 1271, 1317, 1114, 18137, 543, 2326, 723, 1114, 24186, 563, 763, 5860, 786, 1860, 875, 1279, 540, 513, 17684, 596, 991, 538, 1931, 585, 621, 547, 23309, 7184, 2614, 883, 519, 1570, 269, 4495, 596, 723, 782, 540, 713, 1344, 9411, 267, 519, 9498, 786, 2285, 596, 513, 5227, 17684, 3259, 585, 707, 1788, 269, 898, 779, 2141, 1655, 547, 20093, 593, 519, 2427, 540, 13657, 543, 979, 609, 513, 5594, 3476, 17684, 982, 1018, 568, 5227, 563, 1607, 1259, 267, 952, 707, 9273, 616, 1055, 676, 1175, 513, 3787, 267, 596, 4465, 1406, 1439, 909, 609, 25336, 602, 616, 1932, 2110, 543, 1810, 1406, 1683, 2614, 17945, 563, 1432, 12025, 21115, 342, 585, 476, 272, 769, 577, 8381, 454, 2691, 621, 2501, 547, 25336, 267, 972, 568, 1100, 835, 20695, 1922, 1080, 22433, 2626, 269, 634, 2450, 540, 519, 17684, 596, 991, 786, 4096, 593, 519, 11098, 540, 519, 3574, 596, 2461, 1210, 543, 519, 1826, 540, 1788, 596, 2461, 2324, 593, 563, 2690, 1383, 267, 952, 596, 2461, 1140, 2286, 1079, 4773, 540, 476, 272, 10759, 5394, 3574, 1927, 267, 596, 3580, 991, 513, 3476, 17684, 982, 952, 596, 941, 1175, 1140, 2286, 513, 4062, 540, 16013, 547, 519, 1482, 476, 272, 10759, 5394, 3574, 563, 763, 3259, 540, 519, 17684, 786, 849, 581, 5462, 676, 875, 1454, 2597, 519, 4745, 786, 581, 8066, 543, 2436, 610, 711, 519, 4745, 786, 581, 1641, 547, 2566, 630, 3697, 6679, 543, 14656, 513, 7450, 1040, 769, 2489, 267, 1498, 267, 1934, 616, 930, 4808, 585, 25336, 538, 476, 272, 10759, 5394, 3574, 281, 1107, 1280, 1769, 10279, 3785, 899, 1140, 2286, 16013, 610, 1507, 16560, 4773, 267, 946, 1948, 277, 610, 1948, 279, 25336, 602, 616, 476, 272, 547, 476, 272, 268, 272, 270, 273, 6279, 1279, 563, 1700, 1280, 5420, 10279, 3785, 899, 2679, 513, 2835, 3559, 325, 610, 7011, 1782, 11647, 267, 946, 1948, 279, 610, 1948, 1015, 25336, 602, 616, 476, 273, 547, 476, 273, 268, 272, 270, 273, 6279, 1279, 269, 1107, 1280, 5230, 10279, 3785, 899, 14335, 513, 16064, 610, 2679, 513, 8774, 267, 946, 1948, 1015, 610, 3677, 25336, 602, 616, 476, 274, 6279, 610, 3476, 563, 303, 16072, 25336, 616, 7463, 3728, 22211, 602, 616, 2966, 4481, 585, 1140, 2286, 533, 16072, 547, 25194, 2818, 269, 1452, 25336, 723, 8325, 16060, 602, 11116, 883, 519, 3574, 267, 543, 789, 849, 723, 513, 1804, 2212, 602, 2337, 547, 2061, 519, 17684, 689, 17444, 998, 519, 533, 16072, 269, 1703, 616, 1896, 1114, 2010, 540, 533, 16072, 25336, 267, 543, 1142, 1826, 814, 922, 1378, 1808, 3483, 563, 2080, 568, 513, 5618, 7650, 540, 519, 1034, 1455, 2010, 540, 533, 16072, 25336, 281, 7392, 589, 21115, 9749, 281, 7392, 589, 25336, 616, 1031, 585, 2489, 26928, 3156, 269, 1358, 723, 5420, 13355, 9843, 543, 666, 581, 1031, 609, 2901, 2182, 610, 2571, 18137, 563, 13911, 645, 21115, 9749, 281, 7392, 645, 25336, 723, 5594, 3677, 9843, 982, 1826, 589, 25336, 267, 1818, 873, 4998, 585, 946, 609, 29779, 18137, 269, 1452, 25336, 616, 849, 1447, 2693, 547, 14816, 856, 950, 1373, 9141, 883, 9875, 18137, 269, 7392, 595, 21115, 9749, 281, 7392, 595, 25336, 616, 2966, 585, 946, 538, 3226, 2182, 6229, 338, 563, 5445, 723, 519, 4102, 9843, 540, 1022, 1826, 540, 533, 16072, 17684, 267, 799, 2337, 547, 2061, 873, 689, 4174, 6137, 856, 950, 9141, 883, 2182, 6229, 338, 563, 1692, 7043, 9701, 21115, 9749, 2142, 585, 623, 16072, 888, 2467, 568, 1100, 17046, 2626, 547, 713, 2243, 607, 621, 5673, 593, 519, 11098, 540, 519, 533, 16072, 543, 519, 1826, 540, 17684, 1373, 1031, 269, 1306, 513, 2489, 4341, 540, 14853, 267, 25336, 1058, 581, 693, 2547, 476, 272, 270, 279, 16357, 3476, 982, 519, 11098, 540, 519, 533, 16072, 269, 1280, 1383, 267, 952, 596, 616, 1210, 476, 272, 270, 273, 16357, 5394, 533, 16072, 267, 707, 25336, 1058, 581, 693, 2547, 476, 276, 270, 279, 16357, 1279, 563, 4692, 1411, 21115, 342, 476, 272, 270, 273, 623, 16072, 8625, 888, 2791, 666, 17684, 476, 272, 270, 273, 533, 16072, 1927, 267, 855, 621, 779, 711, 5227, 269, 634, 2601, 568, 602, 519, 10549, 616, 21260, 543, 811, 2693, 547, 2097, 6306, 269, 4746, 267, 519, 25336, 666, 3138, 4923, 936, 942, 267, 1818, 519, 4745, 1256, 21260, 563, 2252, 596, 1590, 946, 25336, 267, 1118, 2386, 547, 946, 1279, 25336, 630, 274, 6279, 610, 3476, 264, 543, 2392, 18115, 519, 9475, 547, 2061, 519, 3574, 689, 24590, 269, 898, 779, 1732, 547, 946, 18969, 610, 25411, 1255, 3079, 563, 1432, 21115, 9749, 9701, 594, 2422, 585, 623, 16072, 888, 2467, 616, 513, 1906, 1114, 2010, 540, 25336, 602, 666, 581, 1031, 585, 533, 16072, 267, 855, 519, 1034, 1455, 543, 11684, 568, 519, 3044, 3574, 17684, 269, 1452, 25336, 616, 2139, 538, 513, 2647, 2039, 540, 13080, 543, 5603, 4394, 547, 9290, 1114, 11098, 525, 540, 533, 16072, 267, 543, 789, 666, 581, 9141, 883, 519, 1570, 609, 2901, 513, 1688, 17684, 323, 18182, 610, 513, 1379, 16590, 269, 1280, 1655, 2164, 267, 621, 779, 1271, 547, 3442, 25336, 602, 616, 1279, 2614, 547, 23309, 998, 519, 11098, 540, 519, 533, 16072, 543, 883, 519, 5817, 14041, 267, 855, 711, 865, 1279, 602, 789, 31732, 8775, 856, 519, 824, 2427, 563, 2691, 1140, 2286, 1079, 4773, 540, 533, 16072, 1927, 267, 621, 779, 1271, 547, 946, 4831, 1606, 6064, 25336, 865, 602, 519, 9843, 1694, 23574, 609, 519, 2627, 540, 519, 3574, 269, 901, 786, 2285, 513, 1454, 683, 831, 9096, 982, 952, 596, 941, 547, 946, 25336, 609, 6659, 9843, 267, 543, 621, 786, 849, 2061, 1022, 8325, 8728, 689, 4929, 5945, 269, 1403, 596, 2461, 1210, 25182, 533, 16072, 630, 1652, 982, 476, 274, 270, 275, 10759, 264, 1287, 596, 949, 1616, 547, 2015, 1210, 536, 2784, 18969, 3079, 540, 25336, 267, 607, 891, 666, 581, 1447, 2693, 547, 8237, 519, 3574, 563, 1692, 12213, 9701, 21115, 342, 3619, 883, 623, 16072, 888, 2467, 568, 1100, 17046, 2626, 547, 713, 2243, 607, 621, 786, 4096, 593, 519, 1826, 543, 11098, 540, 533, 16072, 596, 616, 1210, 267, 607, 1134, 607, 519, 2450, 543, 3259, 540, 17684, 596, 616, 1210, 269, 769, 2489, 267, 2705, 267, 25336, 1058, 581, 17332, 883, 533, 16072, 693, 513, 3178, 540, 693, 2547, 476, 272, 270, 273, 10759, 630, 1321, 6515, 1070, 543, 23295, 476, 274, 270, 275, 10759, 630, 866, 6515, 264, 610, 811, 269, 901, 786, 2327, 602, 519, 17684, 814, 513, 1434, 17945, 593, 519, 533, 16072, 543, 786, 711, 7485, 856, 3362, 563, 10673, 1406, 2422, 21115, 9749, 2334, 3657, 9215, 302, 700, 32670, 610, 9215, 302, 15562, 18306, 256, 630, 306, 920, 342, 20099, 270, 1692, 1677, 7994, 634, 9406, 21115, 342, 20099, 994, 2691, 621, 2501, 547, 25336, 267, 2450, 1281, 2339, 269, 634, 11098, 540, 707, 533, 16072, 786, 3313, 799, 2450, 17684, 596, 991, 269, 1280, 476, 272, 270, 273, 20878, 533, 16072, 267, 596, 3580, 991, 513, 1948, 279, 17684, 602, 568, 693, 2547, 476, 272, 268, 272, 270, 275, 6279, 1279, 563, 2252, 596, 2461, 1210, 476, 274, 270, 275, 20878, 533, 16072, 267, 596, 3580, 991, 513, 1948, 1015, 17684, 602, 568, 693, 2547, 476, 272, 268, 272, 270, 273, 6279, 1279, 269, 0, 15812, 564, 4229, 723, 2813, 606, 13778, 3747, 585, 8047, 2230, 538, 4683, 5054, 269, 769, 519, 2250, 267, 2978, 2230, 729, 811, 4122, 1336, 538, 28180, 6753, 1369, 4853, 270, 4752, 823, 11614, 610, 30832, 1782, 3786, 4926, 269, 12124, 5624, 9029, 547, 4130, 23492, 3549, 267, 607, 1134, 607, 3964, 10909, 602, 6999, 547, 581, 2673, 547, 9945, 543, 824, 7998, 543, 24684, 3549, 269, 2060, 606, 27614, 540, 14679, 3854, 585, 1272, 9443, 9388, 267, 30596, 723, 1336, 513, 2707, 540, 3854, 602, 786, 3136, 547, 4492, 3747, 585, 8047, 2230, 269, 634, 3761, 540, 891, 5624, 5170, 547, 581, 9395, 267, 16550, 9367, 547, 1831, 811, 7580, 543, 23019, 269, 634, 6552, 960, 7678, 5337, 1243, 676, 519, 5046, 268, 866, 6855, 814, 8507, 538, 513, 1713, 2179, 540, 2139, 5604, 11305, 2734, 622, 2230, 269, 634, 27614, 540, 3854, 543, 2139, 2230, 814, 3366, 9367, 547, 2990, 741, 4540, 2679, 6006, 585, 7503, 269, 13038, 1374, 2994, 616, 2139, 547, 13918, 519, 7503, 540, 5604, 2230, 883, 8047, 2230, 563, 288, 1455, 4161, 950, 14291, 4540, 5656, 568, 741, 6989, 15627, 269, 1879, 6989, 3562, 22286, 3233, 4463, 568, 3908, 267, 519, 946, 540, 631, 7968, 23725, 832, 2488, 606, 28627, 547, 15814, 20848, 547, 4196, 20682, 269, 1452, 23725, 832, 6655, 10398, 532, 543, 13811, 1740, 267, 1519, 2011, 12363, 3457, 269, 901, 10970, 28179, 519, 991, 547, 15814, 16841, 267, 25137, 3908, 4463, 547, 13918, 2362, 2781, 559, 902, 269, 769, 835, 1880, 2230, 609, 513, 6989, 3562, 22286, 3233, 4463, 540, 476, 1321, 685, 268, 277, 892, 630, 8201, 476, 272, 1070, 1184, 10398, 532, 729, 3535, 539, 2059, 519, 3774, 3838, 609, 519, 8047, 2230, 1247, 2011, 12363, 3457, 941, 15841, 538, 513, 7299, 10066, 593, 519, 824, 2427, 540, 519, 631, 7968, 23725, 528, 269, 1452, 23725, 832, 991, 547, 2196, 6252, 609, 519, 20682, 789, 4196, 547, 3970, 519, 23332, 3845, 540, 519, 10398, 532, 543, 13811, 1740, 563, 1103, 9114, 340, 540, 6131, 5122, 11623, 267, 5122, 8440, 2838, 547, 4196, 2978, 5624, 666, 849, 581, 4092, 1369, 891, 631, 7968, 23725, 832, 269, 769, 835, 10380, 267, 607, 3254, 538, 7612, 476, 273, 630, 20580, 921, 26484, 2127, 1070, 519, 8047, 2230, 729, 1166, 1678, 539, 676, 1079, 1507, 631, 7968, 23725, 832, 547, 2057, 15385, 3761, 543, 9688, 13811, 1740, 269, 4014, 891, 23725, 832, 8532, 23934, 2230, 267, 789, 1683, 513, 3070, 585, 513, 9744, 602, 1131, 7363, 581, 15763, 563, 5194, 1935, 568, 547, 12398, 7344, 5624, 11105, 547, 519, 8047, 5624, 789, 4196, 269, 5794, 7829, 4559, 616, 5116, 1369, 891, 11623, 5612, 11105, 547, 20682, 593, 1312, 5011, 269, 1403, 519, 6989, 3562, 22286, 3233, 4463, 568, 3226, 3908, 267, 891, 7344, 5624, 949, 849, 13918, 2011, 12363, 3457, 7674, 535, 2541, 26372, 338, 543, 23478, 2011, 547, 519, 20682, 269, 27814, 267, 891, 11623, 616, 30528, 538, 513, 7299, 11460, 865, 602, 3761, 543, 9688, 1567, 619, 949, 581, 3535, 539, 19794, 998, 873, 269, 901, 4640, 568, 3226, 3730, 585, 7674, 2973, 5624, 607, 1134, 607, 645, 20784, 268, 274, 2270, 618, 647, 2572, 602, 2154, 3677, 5666, 540, 2011, 547, 2743, 1164, 2011, 1689, 2557, 4170, 269, 589, 6093, 2973, 4055, 1935, 568, 8612, 538, 7612, 476, 274, 269, 1773, 5217, 11623, 11105, 547, 891, 5624, 7182, 519, 2450, 540, 519, 13811, 1740, 3535, 539, 998, 519, 20682, 267, 10893, 8901, 4170, 1657, 519, 18109, 563, 2252, 2230, 4058, 543, 7755, 659, 1890, 4170, 10238, 527, 519, 13307, 540, 2789, 631, 7968, 23725, 832, 610, 7344, 11623, 1369, 519, 8047, 5624, 267, 513, 3791, 4640, 18252, 519, 6989, 1657, 547, 4196, 607, 803, 3960, 29516, 2230, 547, 13918, 23332, 540, 13811, 1740, 267, 10398, 532, 267, 543, 824, 631, 7968, 20848, 269, 769, 513, 1164, 8573, 1047, 3510, 267, 14595, 19683, 1131, 581, 8246, 607, 803, 3960, 29516, 19683, 269, 901, 4640, 568, 1034, 10858, 547, 5656, 5627, 513, 1713, 1297, 540, 2973, 5624, 543, 5924, 645, 20784, 268, 274, 2270, 618, 24194, 5624, 799, 2154, 1804, 5666, 540, 2011, 10009, 267, 13745, 609, 513, 9744, 602, 814, 1970, 6989, 3562, 22286, 3233, 15627, 540, 476, 1321, 685, 268, 277, 892, 543, 1447, 269, 4635, 519, 6989, 1657, 519, 8047, 568, 849, 2500, 585, 6093, 20682, 1369, 513, 9744, 609, 5393, 1970, 6989, 3562, 22286, 3233, 15627, 540, 476, 1015, 547, 476, 1556, 3952, 269, 7612, 476, 275, 630, 20580, 921, 26484, 1858, 264, 9727, 1141, 5604, 2230, 593, 519, 6989, 1657, 729, 10736, 883, 803, 3960, 29516, 2230, 547, 4196, 513, 24194, 540, 18869, 476, 278, 267, 476, 279, 543, 476, 280, 2973, 4055, 5624, 563, 2026, 519, 3747 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1265, 2067, 2973, 619, 1318, 538, 707, 1378, 1753, 267, 899, 11993, 10433, 543, 11256, 14614, 563, 1607, 1826, 540, 7738, 786, 948, 596, 4688, 2724, 269, 1879, 596, 798, 6430, 547, 1205, 7759, 540, 1919, 267, 899, 602, 2025, 267, 1447, 3618, 7874, 11647, 267, 24946, 621, 3079, 540, 18530, 621, 856, 269, 1411, 3580, 581, 7700, 1454, 1447, 547, 519, 26071, 563, 12024, 938, 9365, 8525, 454, 4692, 1411, 7665, 4476, 2659, 4515, 1080, 2755, 30799, 6599, 1227, 888, 20245, 11588, 540, 12389, 538, 24543, 269, 4208, 1772, 898, 29247, 25021, 1703, 888, 276, 18467, 1677, 29196, 1677, 5682, 6052, 2311, 5851, 454, 26794, 540, 5131, 7304, 1052, 28524, 585, 19889, 6363, 7037, 3117, 28366, 454, 1432, 568, 19889, 6363, 7037, 30799, 543, 1215, 2052, 1411, 22737, 898, 888, 16675, 12229, 14313, 547, 25956, 609, 606, 5510, 17060, 4886, 12243, 454, 276, 12085, 19889, 4211, 976, 4109, 3117, 28366, 9701, 5700, 6168, 17721, 28243, 454, 763, 6936, 7025, 543, 4317, 26959, 540, 631, 1441, 18924, 4637, 454, 736, 9214, 323, 1043, 12700, 19889, 6874, 712, 1235, 9701, 5700, 6168, 29903, 454, 276, 7136, 633, 11588, 540, 5695, 940, 547, 24997, 6052, 454, 277, 9669, 1280, 15775, 519, 4107, 689, 513, 9891, 6261, 10062, 5851, 454, 278, 20056, 550, 18467, 547, 14970, 513, 5682, 518, 27999, 538, 476, 1708, 272, 454, 1692, 519, 16296, 12752, 1772, 16871, 19889, 6363, 5987, 17349, 21661, 519, 8274, 454, 306, 7739, 1464, 538, 14716, 281, 10613, 547, 14600, 580, 622, 7025, 28620, 454, 6124, 7577, 568, 32010, 11536, 294, 24486, 4886, 538, 14086, 454, 1015, 9669, 547, 12414, 2659, 8921, 31054, 883, 606, 19889, 6363, 7037, 9919, 30503, 1674, 454, 275, 11588, 540, 2155, 5024, 609, 513, 645, 5390, 2193, 607, 606, 19889, 6363, 7037, 19901, 454, 5278, 12830, 12700, 827, 19889, 6363, 7037, 19371, 12565, 902, 454, 25842, 19577, 540, 853, 820, 21578, 14086, 593, 5295, 12752, 20885, 454, 278, 6355, 27834, 13832, 2353, 19889, 6363, 7037, 29661, 18771, 7427, 454, 268, 17972, 1015, 3275, 3516, 454, 292, 1723, 6363, 7037, 670, 2931, 1677, 8073, 589, 667, 9092, 19255, 1280, 2659, 5851, 454, 268, 6052, 277, 3275, 3516, 454, 292, 1723, 6363, 7037, 5851, 14935, 13722, 12539, 14272, 21646, 998, 20523, 5794, 16448, 518, 21252, 454, 268, 17972, 276, 3275, 3516, 454, 5353, 1597, 2657, 543, 8881, 9669, 585, 19889, 6363, 7037, 15733, 538, 513, 5682, 5851, 454, 268, 17972, 1015, 3275, 3516, 454, 276, 11822, 18467, 1677, 8073, 589, 5682, 518, 1656, 2657, 1512, 5851, 0, 311, 7304, 599, 24942, 6520, 5530, 454, 9827, 1634, 607, 454, 289, 821, 6520, 10495, 454, 289, 821, 2085, 1353, 568, 513, 5650, 602, 6087, 7189, 547, 3313, 519, 15657, 540, 606, 15730, 781, 5642, 1062, 269, 901, 5650, 13408, 2921, 513, 2582, 2473, 11920, 540, 519, 2451, 610, 1318, 1688, 267, 1519, 21389, 1235, 543, 11263, 269, 634, 1184, 568, 2922, 543, 1928, 6954, 543, 3096, 803, 4526, 5982, 269, 634, 2473, 11920, 3239, 568, 3379, 609, 2473, 11920, 2592, 538, 513, 3044, 23988, 540, 5642, 1646, 267, 1759, 593, 1239, 689, 1082, 824, 1453, 540, 519, 1482, 4008, 543, 2085, 269, 901, 1184, 568, 1031, 547, 2268, 513, 1126, 781, 5642, 2085, 267, 799, 568, 6027, 538, 1296, 563, 288, 5642, 2085, 1353, 568, 1031, 547, 10237, 10999, 3313, 1799, 1155, 2550, 262, 6211, 543, 7293, 15657, 689, 741, 1688, 543, 21015, 1535, 11920, 23079, 269, 898, 3029, 606, 7533, 851, 540, 519, 5868, 267, 2359, 267, 543, 2126, 585, 1453, 609, 2208, 543, 25012, 4713, 269, 898, 2337, 13209, 1585, 2208, 4713, 543, 666, 3589, 3803, 4463, 585, 2550, 9306, 609, 2110, 588, 1155, 269, 1323, 15730, 781, 7633, 267, 971, 607, 538, 519, 17873, 543, 943, 531, 5190, 267, 2874, 540, 2127, 540, 2208, 1572, 834, 29115, 10824, 1701, 1452, 10824, 723, 2027, 2281, 799, 6023, 519, 5642, 781, 3259, 543, 922, 1646, 269, 12618, 10824, 616, 3362, 4857, 593, 606, 2473, 11920, 1317, 789, 2811, 29779, 543, 7768, 540, 14758, 6886, 982, 519, 1964, 540, 519, 5642, 267, 1818, 873, 2408, 3109, 518, 593, 606, 2473, 11920, 3239, 982, 519, 4478, 1858, 269, 1306, 1453, 2085, 267, 2208, 10824, 1689, 538, 5920, 593, 519, 2473, 11920, 2592, 543, 1831, 7522, 518, 543, 7444, 14897, 269, 4595, 789, 1413, 1114, 693, 1142, 2085, 267, 513, 4387, 666, 3651, 513, 5642, 2085, 1759, 593, 519, 2208, 10824, 262, 5920, 269, 589, 5642, 2085, 630, 10193, 1634, 607, 20258, 2085, 264, 568, 2016, 676, 21501, 799, 540, 519, 2473, 11920, 2592, 538, 519, 693, 20393, 23988, 1034, 5702, 6474, 519, 1126, 781, 7633, 262, 5920, 538, 519, 2473, 11920, 269, 5262, 1359, 5642, 6502, 543, 26567, 6502, 1522, 5815, 513, 2208, 1966, 269, 12846, 267, 971, 21441, 1810, 1405, 2141, 1611, 972, 781, 513, 1966, 1317, 2635, 1453, 666, 723, 5642, 6502, 602, 8428, 689, 26567, 6502, 269, 2659, 12963, 1014, 666, 849, 946, 5642, 2085, 547, 6895, 1453, 781, 2208, 9449, 3797, 610, 1346, 9306, 538, 16607, 610, 4359, 23648, 5933, 602, 949, 991, 2126, 563, 7312, 4387, 666, 946, 5642, 2085, 547, 7447, 875, 1279, 513, 1126, 786, 3136, 547, 1332, 950, 789, 4283, 23648, 543, 1018, 741, 4628, 6738, 4463, 786, 581, 269, 24942, 2085, 2090, 666, 849, 6895, 3356, 543, 948, 538, 519, 2126, 540, 3214, 609, 2208, 8584, 977, 532, 2175, 267, 971, 607, 2208, 9449, 10638, 267, 11178, 2152, 267, 2038, 610, 3735, 23648, 267, 14189, 983, 4713, 267, 543, 2208, 4713, 971, 607, 25306, 6794, 269, 24942, 2085, 10526, 616, 849, 4922, 1031, 538, 12963, 26966, 923, 267, 1141, 519, 1126, 781, 5642, 2085, 11887, 519, 12557, 543, 1826, 540, 741, 2126, 563, 2467, 568, 1100, 2027, 7041, 2877, 585, 713, 5650, 269, 1717, 267, 798, 707, 1655, 547, 1118, 2386, 707, 1126, 568, 693, 8897, 609, 519, 1535, 11920, 269, 1411, 1058, 2491, 547, 873, 602, 972, 568, 4986, 547, 581, 14126, 827, 267, 543, 621, 568, 4502, 7713, 547, 873, 875, 606, 1535, 11920, 3684, 1568, 538, 2241, 2474, 267, 971, 607, 7713, 602, 621, 568, 3274, 2469, 547, 581, 2921, 513, 8523, 540, 741, 7633, 543, 786, 711, 10413, 269, 1411, 1058, 849, 2491, 547, 873, 789, 786, 723, 547, 1832, 1869, 865, 602, 519, 5650, 568, 2347, 607, 4166, 607, 2009, 563, 2304, 2473, 11920, 27637, 786, 798, 513, 5642, 2085, 2473, 11920, 538, 513, 2234, 5735, 8257, 1369, 513, 6413, 267, 513, 2234, 5735, 4099, 267, 610, 513, 4387, 781, 5604, 269, 2659, 1126, 786, 581, 2838, 547, 4894, 782, 7802, 543, 14446, 543, 2322, 593, 513, 6413, 575, 1144, 269, 1358, 949, 849, 723, 547, 4894, 14296, 543, 782, 4496, 3615, 689, 741, 1268, 269, 2659, 1126, 786, 581, 4280, 547, 4283, 519, 1535, 11920, 4055, 267, 799, 786, 2270, 513, 3349, 267, 930, 23107, 267, 543, 513, 1804, 2473, 11920, 3684, 269, 14268, 666, 2356, 13173, 741, 1453, 547, 1683, 1489, 543, 9350, 873, 269, 1403, 596, 3442, 547, 3251, 538, 519, 4055, 267, 596, 3513, 581, 4280, 547, 5957, 513, 1291, 8825, 8720, 547, 2149, 707, 1560, 689, 519, 5982, 269, 634, 1535, 11920, 27637, 786, 2307, 707, 1126, 547, 1694, 593, 513, 22454, 543, 1747, 741, 2451, 1688, 593, 519, 3349, 609, 11263, 3262, 630, 20365, 1126, 949, 581, 2016, 513, 8825, 1291, 13104, 607, 1134, 1040, 634, 1535, 11920, 1099, 6048, 786, 1900, 883, 606, 7755, 334, 1456, 4055, 547, 7500, 519, 3684, 269, 2659, 1126, 786, 581, 4280, 547, 2611, 1869, 585, 930, 7643, 1247, 519, 10237, 1748, 568, 3144, 269, 901, 568, 2944, 547, 2061, 20747, 2590, 540, 519, 2473, 11920, 3239, 269, 2659, 1126, 949, 849, 581, 4280, 547, 13236, 538, 543, 3180, 741, 7362, 585, 513, 1906, 7643, 547, 1205, 519, 1655, 1535, 11920, 3239, 269, 634, 5642, 2085, 4879, 568, 5340, 609, 606, 1535, 11920, 3239, 540, 707, 1126, 781, 1875, 1673, 11395, 1688, 267, 865, 621, 568, 1271, 547, 2446, 952, 707, 1126, 568, 2451, 26370, 269, 589, 2582, 667, 303, 2070, 540, 707, 1126, 781, 6186, 786, 581, 3144, 267, 1519, 519, 30218, 8953, 543, 12804, 3534, 630, 6518, 616, 519, 2062, 1301, 779, 1079, 1279, 7633, 264, 543, 782, 519, 11263, 269, 901, 5650, 568, 1152, 513, 1906, 3764, 689, 1376, 547, 9096, 267, 543, 972, 568, 1100, 991, 547, 5855, 827, 5982, 4598, 2094, 519, 5982, 1152, 16569, 513, 2110, 1247, 269, 1717, 267, 3384, 9002, 616, 11630, 547, 5982, 543, 616, 693, 811, 1981, 269, 4935, 267, 952, 707, 8250, 568, 9176, 267, 1118, 2386, 547, 2995, 1200, 4387, 543, 519, 2473, 11920, 27637, 563, 288, 10237, 6048, 630, 320, 2564, 3318, 21751, 538, 2542, 543, 16208, 2473, 11920, 2592, 264, 786, 4612, 519, 1535, 17530, 269, 1358, 786, 5635, 519, 15790, 531, 7633, 630, 321, 2158, 693, 519, 3490, 540, 519, 1688, 1070, 9416, 7633, 267, 8953, 267, 543, 12804, 3534, 547, 13387, 8747, 538, 835, 540, 1079, 3119, 2564, 693, 331, 1162, 269, 3958, 267, 3301, 2645, 616, 2139, 547, 25117, 5642, 2085, 4879, 543, 713, 949, 2285, 707, 1535, 17530, 4681, 1454, 18334, 269, 634, 6476, 786, 1450, 519, 4387, 543, 10237, 6048, 547, 3313, 707, 1126, 781, 5642, 2085, 543, 2168, 15657, 269, 634, 10237, 6048, 786, 946, 519, 4681, 547, 5965, 513, 1867, 585, 707, 3119, 10629, 267, 945, 786, 1865, 707, 1535, 11920, 2164, 609, 596, 563, 8923, 1224, 5402, 454, 3412, 1645, 12313, 18948, 454, 8923, 1224, 5402, 454, 8923, 1224, 708, 3101, 5402, 2608, 0, 3682, 8063, 6553, 540, 519, 17150, 630, 2889, 560, 22807, 1070, 519, 1560, 602, 7472, 513, 5277, 21131, 267, 799, 568, 851, 540, 519, 5033, 523, 269, 11202, 1108, 3006, 4929, 4049, 1928, 267, 2042, 609, 1494, 1890, 269, 9615, 540, 17150, 10257, 547, 2253, 5612, 1310, 519, 5868, 563, 3682, 8063, 2356, 5540, 2025, 2367, 689, 476, 1839, 547, 476, 2004, 269, 11202, 1108, 568, 1360, 1455, 269, 898, 2306, 7092, 513, 3791, 547, 3368, 540, 782, 1004, 593, 519, 4541, 269, 634, 1966, 1082, 2589, 912, 268, 519, 812, 2833, 519, 18473, 4743, 540, 1928, 950, 2712, 3215, 3248, 268, 10729, 513, 3500, 267, 6094, 6908, 267, 547, 25837, 3248, 268, 3781, 267, 543, 693, 824, 2053, 540, 519, 1554, 972, 568, 1419, 513, 7287, 547, 2712, 3729, 269, 594, 666, 1405, 21199, 519, 4743, 602, 711, 782, 10729, 814, 2451, 519, 15485, 3248, 268, 519, 10729, 8514, 573, 267, 6404, 609, 1973, 3248, 268, 562, 698, 3101, 1928, 538, 519, 2539, 17737, 267, 9240, 514, 267, 829, 710, 636, 630, 24992, 519, 1085, 8527, 636, 543, 519, 606, 639, 11850, 268, 20807, 539, 676, 1928, 267, 9636, 538, 519, 1858, 540, 519, 1449, 525, 267, 4050, 529, 3248, 268, 552, 329, 659, 1637, 4386, 519, 1928, 3248, 27269, 972, 616, 2589, 540, 6553, 540, 519, 17150, 267, 799, 568, 2147, 547, 519, 1455, 4411, 630, 325, 1197, 267, 8611, 1040, 1452, 616, 2404, 609, 9190, 8677, 540, 519, 2068, 630, 3467, 593, 713, 2630, 1916, 3682, 560, 22807, 1419, 4386, 538, 2367, 945, 5892, 11124, 689, 519, 2068, 269, 634, 1966, 568, 912, 268, 519, 3968, 540, 519, 15485, 267, 610, 519, 23443, 628, 571, 3248, 268, 7486, 267, 543, 824, 3676, 540, 2367, 7783, 1282, 3023, 3248, 268, 8194, 547, 519, 7535, 910, 896, 519, 30158, 267, 9640, 3248, 27246, 540, 17150, 2367, 519, 29259, 267, 519, 23443, 628, 571, 267, 547, 8963, 10729, 689, 519, 15485, 563, 26073, 1108, 3006, 5526, 1310, 519, 17150, 23707, 267, 952, 519, 2079, 540, 513, 3732, 540, 519, 5160, 269, 2991, 713, 5650, 267, 519, 2589, 540, 17150, 2367, 616, 4686, 563, 10303, 17150, 666, 581, 912, 268, 28332, 30569, 1449, 525, 630, 788, 573, 573, 2096, 4345, 11850, 268, 3648, 8519, 14203, 1293, 267, 26983, 949, 2049, 3248, 268, 5526, 26252, 630, 322, 822, 640, 540, 519, 10669, 1916, 288, 1297, 540, 3621, 2090, 798, 711, 7866, 513, 1463, 2078, 1063, 17150, 6553, 543, 17150, 2860, 563, 15650, 540, 14382, 22807, 454, 763, 17150, 476, 276, 1292, 2010, 281, 5312, 610, 8650, 1875, 1532, 17424, 267, 5312, 9190, 267, 28105, 563, 268, 18127, 267, 1875, 1532, 17424, 630, 10193, 1634, 607, 519, 5312, 1928, 6794, 538, 519, 23856, 3148, 1040, 634, 1034, 1455, 630, 3467, 982, 476, 3445, 260, 540, 2550, 10413, 873, 1040, 634, 2589, 540, 17150, 18633, 267, 4947, 543, 2469, 269, 11202, 11077, 538, 519, 1560 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12582, 1406, 1577, 602, 2370, 5067, 540, 513, 536, 3558, 1404, 1472, 609, 10570, 9604, 269, 2334, 533, 1170, 525, 803, 1055, 3034, 276, 269, 2201, 3771, 321, 1681, 2192, 786, 4724, 606, 10546, 912, 2108, 295, 749, 1100, 269, 1358, 941, 8165, 896, 519, 1482, 9753, 594, 1185, 269, 1358, 941, 856, 547, 6146, 803, 267, 607, 594, 729, 856, 547, 6146, 873, 269, 18774, 1100, 269, 594, 2463, 873, 269, 594, 8910, 2648, 547, 1694, 1524, 609, 835, 540, 873, 543, 13032, 3333, 527, 609, 873, 827, 1018, 789, 941, 3257, 693, 971, 543, 971, 513, 942, 267, 2523, 952, 789, 941, 538, 519, 1482, 6370, 607, 594, 729, 3034, 277, 269, 4208, 646, 5206, 513, 1433, 912, 14881, 1185, 1044, 3206, 585, 513, 1279, 942, 1945, 1058, 581, 2944, 547, 8956, 519, 3057, 1149, 594, 10692, 609, 2223, 32139, 1767, 269, 968, 296, 6785, 952, 594, 5206, 827, 22823, 7577, 621, 1131, 849, 3382, 589, 1076, 7577, 269, 1284, 941, 782, 519, 1482, 267, 4646, 909, 676, 519, 2338, 267, 543, 649, 27433, 1360, 3533, 269, 1403, 594, 1767, 22823, 729, 519, 1655, 267, 789, 8910, 2161, 2048, 293, 1700, 596, 267, 649, 2461, 519, 1655, 10200, 1284, 941, 519, 1482, 269, 1924, 594, 16718, 1250, 1870, 543, 5206, 519, 1433, 269, 901, 729, 513, 1650, 602, 2877, 547, 581, 5143, 3034, 18658, 594, 5206, 827, 3478, 547, 16737, 7577, 1310, 789, 941, 896, 3595, 585, 2947, 17334, 2507, 649, 3357, 909, 547, 16737, 7577, 779, 7158, 269, 1358, 1185, 588, 2931, 540, 4457, 4703, 1305, 909, 607, 8825, 6821, 1996, 10546, 3595, 269, 1358, 941, 1210, 1346, 6821, 547, 2322, 1524, 3595, 593, 519, 593, 5765, 4457, 269, 1879, 649, 3357, 909, 593, 873, 267, 594, 729, 2111, 547, 3802, 476, 2004, 18126, 593, 1175, 4457, 4703, 269, 1703, 1590, 723, 1044, 7366, 540, 873, 16207, 1996, 16737, 7577, 269, 901, 568, 519, 2186, 540, 3364, 594, 2877, 547, 2328, 3034, 278, 269, 2201, 1272, 1310, 519, 17620, 912, 2108, 26835, 3742, 267, 581, 10583, 540, 1018, 596, 798, 269, 1548, 594, 2161, 827, 519, 11348, 540, 1373, 513, 13149, 269, 2334, 779, 782, 936, 519, 1747, 2443, 519, 1964, 540, 707, 1272, 267, 1118, 621, 513, 1434, 835, 269, 1684, 1434, 1919, 585, 1004, 547, 519, 1655, 540, 707, 2702, 269, 594, 1185, 513, 22946, 540, 513, 1272, 267, 1259, 3564, 519, 13149, 17620, 269, 594, 1413, 1394, 693, 3781, 1354, 594, 979, 547, 3207, 2507, 594, 3893, 6634, 540, 1390, 267, 1390, 8823, 269, 594, 3314, 3388, 269, 594, 1589, 2048, 5459, 540, 513, 536, 3558, 2507, 596, 941, 2111, 547, 1205, 2476, 609, 602, 256, 685, 9232, 454, 279, 269, 31876, 585, 4896, 267, 4108, 610, 19742, 912, 28490, 596, 4076, 2760, 1044, 18901, 695, 265, 339, 1652, 267, 1018, 2186, 540, 1272, 723, 596, 3366, 18313, 298, 312, 4353, 267, 12907, 2443, 1763, 6342, 540, 513, 7187, 6739, 8498, 941, 5483, 713, 3018, 602, 789, 941, 2713, 538, 513, 968, 323, 9734, 7997, 892, 1813, 547, 5667, 29347, 1881, 968, 1740, 892, 1373, 2944, 513, 2370, 811, 982, 476, 272, 13304, 2476, 693, 513, 5728, 633, 9604, 4152, 3135, 1141, 519, 6739, 4108, 814, 1044, 3384, 922, 1007, 19070, 531, 540, 865, 10777, 798, 1682, 1485, 9604, 563, 2304, 4950, 2022, 15695, 519, 10199, 476, 4335, 7264, 540, 519, 6519, 7256, 9381, 8498, 540, 715, 27267, 758, 21542, 602, 2947, 21772, 941, 4712, 547, 17355, 10663, 873, 607, 513, 13390, 1081, 1813, 547, 2534, 9709, 585, 5147, 476, 278, 547, 476, 279, 693, 519, 7404, 4108, 9604, 9744, 267, 799, 814, 1044, 10512, 2094, 519, 476, 4198, 271, 338, 585, 519, 1646, 543, 4152, 540, 4262, 268, 543, 2244, 2861, 23593, 28862, 563, 763, 9963, 17704, 1194, 1776, 585, 2261, 29794, 538, 519, 6519, 7256, 267, 9783, 676, 519, 2823, 8128, 540, 1488, 16223, 836, 1564, 330, 267, 799, 729, 547, 2063, 689, 5147, 476, 277, 547, 476, 1015, 269, 634, 17535, 9963, 605, 30533, 539, 4262, 8043, 689, 10024, 606, 1858, 4098, 1055, 519, 5032, 540, 715, 27267, 758, 21542, 543, 519, 7404, 4884, 540, 590, 1197, 617, 341, 1231, 330, 543, 14178, 22583, 563, 288, 6739, 18966, 2011, 3196, 2672, 268, 2767, 25142, 2535, 919, 538, 966, 580, 559, 656, 26267, 476, 1724, 269, 17421, 676, 6307, 918, 24170, 27895, 267, 8225, 17086, 30310, 5358, 270, 3725, 548, 1078, 563, 5591, 2417, 1344, 729, 2016, 3823, 519, 3169, 2470, 540, 713, 3018, 779, 1449, 269, 1809, 519, 715, 27267, 758, 21542, 9604, 4152, 9744, 814, 2938, 9058, 2534, 538, 2487, 1296, 2443, 1519, 930, 1164, 3491, 12803, 10913, 602, 2322, 19742, 2729, 693, 1981, 563, 1103, 5412, 476, 1001, 276, 267, 606, 2144, 7949, 23593, 23828, 689, 519, 9744, 5734, 606, 19887, 3625, 538, 715, 27267, 758, 21542, 267, 4358, 513, 3595, 269, 1703, 941, 1100, 7063, 267, 2687, 547, 3377, 5359, 693, 519, 942, 269, 1656, 538, 4864, 2063, 1032, 267, 519, 7762, 3481, 1449, 540, 513, 6046, 14617, 23593, 23828, 1055, 519, 5032, 540, 715, 27267, 758, 21542, 7166, 2947, 19742, 543, 4108, 12665, 267, 13676, 1866, 267, 543, 838, 27419, 5982, 2157, 538, 7404, 19742, 17260, 563, 763, 16411, 5949, 950, 513, 536, 1618, 27333, 13986, 547, 9156, 513, 6046, 14617, 645, 675, 4034, 23364, 23593, 23828, 689, 519, 26026, 539, 269, 8409, 7166, 3769, 2818, 540, 513, 2027, 6046, 19720, 1646, 2319, 689, 14472, 520, 558, 267, 6576, 779, 3084, 6046, 1648, 18294, 563, 763, 476, 280, 300, 278, 1789, 645, 675, 4034, 23364, 2443, 1634, 607, 519, 968, 306, 5652, 6420, 892, 1851, 24114, 17740, 2456, 2443, 568, 513, 6046, 14617, 267, 6046, 268, 28534, 23593, 23828, 609, 12303, 19957, 2039, 269, 6739, 5518, 32157, 30922, 9307, 519, 8097, 14049, 538, 4728, 476, 1001, 279, 2059, 609, 1896, 824, 968, 4777, 1682, 1485, 892, 9604, 269, 589, 3381, 6881, 540, 835, 14049, 1062, 4951, 513, 20533, 4323, 593, 8419, 563, 288, 772, 2529, 269, 674, 268, 2420, 681, 2194, 528, 18448, 338, 513, 6739, 17177, 828, 2282, 14522, 593, 4873, 476, 1015, 269, 17421, 21806, 540, 715, 3036, 4696, 563, 21607, 514, 267, 945, 512, 719, 539, 6576, 779, 1007, 9604, 607, 968, 28717, 4532, 1043, 2223, 19230, 519, 772, 2529, 269, 547, 1491, 6576, 779, 4108, 1522, 12517, 563, 2108, 2791, 786, 723, 547, 2708, 602, 1007, 4641, 543, 1831, 18617, 602, 1018, 594, 1767, 2221, 3884, 1406, 513, 1025, 4428, 2223, 519, 6739, 7022, 1767, 269, 968, 2005, 779, 711, 513, 1025, 4428, 267, 3972, 803, 3034, 4913, 267, 519, 645, 675, 4034, 23364, 814, 27333, 5734, 930, 2879, 4711, 267, 519, 4864, 476, 1001, 280, 6046, 8009, 1034, 8037, 1851, 873, 269, 18293, 2760, 9672, 602, 922, 645, 675, 4034, 23364, 23593, 23828, 729, 3297, 2063, 4864, 779, 8009, 269, 8616, 267, 13288, 547, 519, 24114, 2012, 585, 519, 6739, 14049, 267, 538, 513, 512, 11548, 2063, 1032, 5518, 18496, 11686, 11855, 519, 968, 325, 9229, 23828, 16411, 538, 6576, 892, 607, 519, 968, 8072, 306, 5652, 6420, 685, 16411, 3034, 16729, 519, 15059, 540, 519, 12019, 2782, 268, 5028, 29329, 7304, 1052, 17437, 17086, 15521, 1063, 519, 2136, 2276, 543, 6576, 2063, 1032, 267, 543, 609, 18293, 543, 6115, 5051, 693, 2845, 3455, 21650, 936, 513, 3376, 13708, 583, 540, 23786, 2152, 267, 30922, 814, 24389, 1010, 2197, 779, 4108, 593, 513, 16154, 2275, 6847, 1982, 547, 1020, 1007, 9604, 563, 30509, 689, 519, 645, 675, 4034, 23364, 267, 538, 476, 1001, 279, 30922, 30792, 824, 1007, 9604, 602, 646, 512, 719, 539, 1131, 581, 2111, 547, 14710, 772, 2529, 269, 23828, 8878, 1949, 269, 7324, 1346, 729, 519, 2997, 836, 731, 3834, 3205, 545, 6174, 267, 27581, 5827, 540, 10760, 693, 7557, 476, 2767, 269, 634, 2997, 836, 731, 27333, 4682, 10512, 538, 5412, 563, 305, 17892, 568, 849, 27333, 3384, 513, 6046, 14617, 14015, 20473, 2443, 519, 968, 303, 846, 573, 517, 892, 2443, 602, 786, 28869, 909, 547, 606, 10779, 776, 779, 5032, 267, 1033, 517, 622, 513, 6046, 14049, 267, 543, 1711, 513, 476, 4335, 2173, 2678, 267, 610, 476, 272, 267, 25953, 20356, 267, 23329, 563, 6097, 547, 930, 3621, 4760, 5359, 267, 6576, 949, 849, 581, 759, 584, 5550, 532, 930, 8168, 268, 5028, 24431, 520, 22972, 23828, 3292, 267, 3226, 835, 23828, 1634, 607, 918, 2632, 752, 339, 267, 799, 729, 5921, 547, 581, 17991, 689, 513, 21007, 294, 268, 4029, 291, 25142, 563, 8489, 553, 519, 8168, 268, 5028, 918, 2632, 752, 339, 1062, 16922, 513, 15452, 14049, 5497, 547, 12777, 1159, 1662, 883, 772, 2529, 269, 15408, 547, 6861, 873, 267, 519, 4207, 6739, 1982, 2443, 10071, 958, 267, 849, 3957, 645, 675, 4034, 23364, 267, 4352, 20775, 547, 519, 3209, 6046, 14617, 23593, 23828, 2443, 786, 2693, 4163, 513, 31139, 540, 2890, 968, 5793, 1061, 528, 892, 15408, 602, 666, 3927, 5605, 2313, 10546, 15408, 563, 13295, 267, 609, 6576, 779, 1082, 4359, 9604, 1949, 538, 1646, 267, 713, 3018, 779, 865, 10777, 18593, 27549, 540, 715, 27267, 758, 21542, 568, 711, 8209, 2303, 633, 540, 1022, 9058, 1646, 267, 4966, 2161, 269, 1717, 267, 519, 3377, 849, 2501, 8015, 5359, 538, 3735, 4873, 602, 5982, 2157, 2066, 7187, 2342, 941, 2542, 1657, 3339, 2443, 513, 7613, 602, 930, 3744, 11911, 547, 2693, 9604, 4255, 676, 6576, 538, 519, 11848, 563, 4002, 4873, 476, 2537, 267, 519, 18043, 17437, 6874, 652, 5174, 534, 15521, 9257, 630, 6311, 6630, 302, 264, 4080, 602, 3744, 538, 13785, 1185, 9571, 29099, 1164, 2157, 540, 5982, 269, 16661, 3270, 6700, 7187, 6576, 729, 519, 1448, 540, 5169, 563, 6097, 547, 1930, 21299, 16986, 9682, 11052, 267, 513, 6739, 6928, 5892, 2404, 609, 4152, 540, 519, 623, 846, 573, 517, 6046, 14617, 14015, 20473, 729, 1055, 519, 5032, 540, 715, 27267, 758, 21542, 593, 4873, 476, 2537, 269, 2368, 4966, 1179, 3634, 602, 513, 8959, 1449, 540, 519, 623, 846, 573, 517, 1223, 581, 519, 27521, 3297, 519, 2487, 5982, 21782, 269, 0, 309, 24860, 267, 513, 2749, 609, 811, 982, 476, 30697, 269, 1822, 11317, 269, 634, 2749, 568, 4092, 593, 519, 26463, 540, 11908, 267, 513, 851, 540, 519, 7414, 7909, 602, 10665, 26551, 6816, 269, 26551, 568, 606, 4903, 331, 558, 3130, 267, 849, 1572, 20523, 26551, 630, 15124, 518, 26551, 264, 543, 5161, 540, 476, 2641, 25772, 269, 6168, 476, 273, 269, 277, 2929, 1004, 2661, 538, 519, 4903, 331, 558, 3130, 563, 763, 5800, 540, 26551, 568, 835, 540, 519, 1034, 1271, 538, 519, 1158, 269, 634, 2749, 779, 2823, 267, 519, 4102, 538, 4516, 267, 23194, 4502, 1269, 476, 6246, 5479, 12422, 609, 476, 3445, 2477, 269, 769, 2487, 1296, 267, 519, 2749, 814, 849, 1831, 811, 1271, 585, 3301, 9367, 267, 24684, 543, 2523, 519, 4670, 2872, 563, 763, 3148, 568, 538, 519, 1283, 476, 1839, 540, 519, 3399, 5455, 19889, 21902, 543, 3143, 269, 476, 272, 585, 519, 1034, 3309, 4346, 538, 4516, 269, 4706, 1970, 2504, 3790, 849, 1118, 621, 519, 476, 274, 6113, 4102, 2749, 538, 3345, 3013, 950, 621, 2501, 547, 519, 4670, 2872, 269, 26551, 779, 4190, 10450, 1118, 519, 2749, 606, 4277, 15805, 10278, 269, 6250, 6002, 616, 2356, 13631, 676, 519, 2189, 4999, 540, 519, 2647, 2686, 2709, 540, 513, 2027, 1604, 563, 23220, 2358, 9922, 538, 519, 3148, 281, 11628, 6355, 7896, 609, 8804, 267, 5303, 267, 5682, 19004, 543, 7849, 8249, 269, 4746, 267, 5020, 7070, 2872, 2882, 5111, 476, 20542, 3549, 3238, 538, 1979, 2684, 1301, 11914, 338, 267, 2564, 3457, 267, 18465, 20094, 543, 6915, 24479, 267, 543, 519, 3152, 1272, 9443, 269, 8551, 543, 9177, 282, 26551, 2572, 6170, 606, 3328, 540, 1269, 476, 272, 267, 1822, 829, 1268, 593, 6575, 543, 2528, 12422, 269, 15788, 267, 3703, 9069, 2103, 616, 1034, 2693, 538, 4516, 547, 2285, 547, 6575, 543, 2528, 563, 13328, 11780, 4741, 10557, 340, 1189, 523, 7028, 3549, 609, 3486, 27606, 543, 2337, 547, 3318, 1125, 13143, 543, 1104, 676, 5356, 1702, 543, 6679, 1007, 6990, 676, 8220, 563, 268, 4985, 676, 6004, 269, 661, 3200, 3967, 5576, 537, 342, 14259, 267, 654, 12839, 10557, 340, 1189, 523, 454, 268, 10558, 532, 519, 3148, 3381, 454, 268, 19809, 827, 519, 3148, 454, 268, 19662, 585, 6867, 577, 3549, 454, 268, 8836, 3604, 0, 290, 636, 11494, 8194, 1813, 547, 12761, 543, 4598 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1249, 519, 3617, 2165, 585, 1620, 7835, 602, 1223, 581, 2808, 2915, 15122, 538, 741, 1202, 14571, 593, 25194, 32349, 607, 1313, 324, 2720, 543, 8874, 607, 10362, 547, 968, 2908, 6329, 1848, 1323, 1898, 2140, 585, 3025, 5461, 538, 519, 2528, 267, 6214, 267, 543, 1686, 602, 3295, 519, 11812, 540, 21576, 267, 17912, 14080, 11040, 18327, 602, 519, 9413, 616, 1869, 938, 6574, 11652, 1034, 535, 17845, 1540, 1765, 525, 3874, 454, 763, 10610, 543, 519, 24897, 25562, 769, 576, 476, 1001, 278, 268, 4905, 268, 1321, 22410, 540, 875, 519, 3408, 540, 4775, 1641, 2032, 676, 5697, 3943, 543, 3703, 2021, 4670, 24237, 814, 9450, 543, 5368, 341, 580, 528, 730, 519, 834, 331, 4833, 257, 540, 4207, 21576, 563, 763, 2782, 1874, 781, 31396, 15537, 13584, 476, 1708, 271, 268, 6187, 268, 1626, 634, 5545, 4670, 8689, 13019, 4275, 918, 1755, 338, 11867, 267, 945, 5747, 693, 519, 2085, 540, 476, 6434, 267, 814, 1044, 18368, 28601, 607, 513, 9649, 540, 1158, 21576, 269, 681, 1662, 14137, 267, 799, 4465, 1312, 519, 24131, 17912, 16635, 781, 6264, 16101, 543, 606, 9142, 13815, 585, 1655, 4914, 25082, 4670, 267, 5280, 5337, 924, 5375, 1719, 538, 519, 5545, 21576, 269, 18599, 6341, 29718, 543, 962, 19390, 574, 2692, 2611, 11104, 3585, 2442, 1312, 538, 3567, 543, 13383, 269, 769, 713, 9241, 15428, 543, 9450, 7160, 540, 1010, 1353, 540, 918, 1755, 338, 11867, 781, 8874, 267, 15537, 13584, 2488, 1079, 1007, 11271, 602, 4983, 918, 1755, 338, 11867, 781, 6967, 8874, 267, 11093, 1864, 538, 519, 2796, 540, 21576, 1686, 269, 13584, 849, 11828, 875, 918, 1755, 338, 11867, 7677, 1639, 513, 10959, 585, 930, 1134, 8153, 21035, 19971, 267, 1519, 9410, 2480, 832, 3150, 267, 24697, 1975, 1408, 6199, 267, 543, 6723, 12359, 553, 269, 21278, 513, 1007, 543, 3102, 1413, 693, 713, 4487, 4670, 20447, 267, 634, 2782, 1874, 781, 31396, 28525, 519, 1950, 3308, 2497, 540, 918, 1755, 338, 11867, 781, 960, 269, 634, 1433, 2982, 875, 918, 1755, 338, 11867, 13986, 547, 21843, 593, 4670, 513, 1576, 540, 3084, 1646, 585, 2022, 21351, 3567, 267, 543, 621, 15244, 519, 2081, 602, 646, 13615, 1010, 1514, 22649, 547, 513, 6422, 1062, 540, 3308, 543, 2239, 3029, 269, 634, 2278, 23607, 918, 1755, 338, 11867, 781, 3003, 4876, 543, 4025, 519, 8874, 538, 2796, 676, 5373, 593, 519, 8689, 781, 26249, 734, 320, 4241, 960, 602, 6799, 918, 1755, 338, 11867, 607, 513, 918, 1755, 338, 11867, 1915, 543, 519, 1650, 540, 1010, 1272, 607, 519, 2186, 540, 5289, 27356, 8124, 14754, 865, 1419, 538, 1010, 8874, 269, 2991, 6313, 519, 1646, 540, 918, 1755, 338, 11867, 781, 3308, 2511, 538, 1010, 2038, 960, 267, 634, 2782, 1874, 781, 31396, 6941, 875, 646, 1031, 713, 2511, 538, 7766, 8874, 547, 585, 613, 513, 20833, 8149, 2203, 540, 4670, 14708, 269, 898, 1287, 9727, 875, 519, 12900, 540, 918, 1755, 338, 11867, 781, 3646, 547, 7119, 607, 513, 4670, 20447, 538, 519, 4247, 540, 1514, 16646, 3366, 547, 519, 1360, 1114, 14557, 26517, 2511, 10423, 538, 1010, 1034, 2487, 8874, 267, 1568, 540, 533, 612, 574, 1143, 602, 2070, 519, 1158, 607, 11259, 547, 1689, 563, 13312, 2456, 540, 7040, 28247, 625, 540, 6196, 3567, 25138, 8899, 749, 476, 1220, 274, 268, 4905, 268, 4905, 8422, 1134, 268, 14445, 730, 21031, 5206, 891, 1019, 2456, 267, 1851, 873, 519, 9952, 5856, 12653, 30245, 1744, 1731, 756, 340, 630, 8619, 269, 476, 9032, 274, 268, 9083, 276, 513, 6155, 12175, 589, 14799, 2987, 2914, 320, 1746, 547, 519, 5545, 5927, 816, 267, 1352, 4767, 519, 5580, 5049, 609, 5386, 1469, 269, 634, 7203, 1662, 2088, 4144, 776, 267, 5956, 609, 513, 476, 280, 4458, 6040, 8004, 781, 9909, 543, 7475, 609, 519, 6738, 4807, 781, 2272, 540, 1200, 9393, 781, 24133, 630, 1911, 280, 268, 10755, 280, 513, 6155, 12175, 476, 273, 2681, 12383, 269, 476, 1321, 3109, 7146, 22554, 12383, 269, 25715, 563, 763, 8606, 916, 540, 13019, 4275, 918, 1755, 338, 11867, 18496, 6762, 773, 476, 2735, 275, 268, 4905, 17912, 5640, 543, 12439, 786, 10950, 713, 1007, 7160, 540, 18496, 6762, 773, 781, 538, 1260, 1706, 762, 1353, 267, 2063, 8242, 538, 476, 2735, 275, 269, 634, 6396, 3296, 267, 4670, 2762, 267, 543, 15853, 2270, 1007, 1344, 267, 543, 6762, 773, 814, 3773, 11271, 593, 28234, 267, 14134, 338, 267, 681, 4257, 1328, 538, 4864, 267, 543, 8496, 611, 599, 334, 269, 918, 1755, 338, 11867, 781, 8874, 4159, 606, 9058, 4560, 543, 606, 27314, 4222, 267, 689, 519, 9158, 545, 543, 4638, 6988, 540, 681, 1662, 14137, 547, 519, 5837, 11428, 540, 594, 330, 597, 340, 267, 689, 519, 21736, 5208, 540, 18599, 6341, 29718, 547, 519, 5260, 720, 18792, 540, 962, 19390, 574, 2692, 267, 689, 519, 9810, 23752, 21535, 16117, 540, 28202, 821, 540, 10552, 547, 519, 22815, 1424, 18854, 540, 5842, 329, 1755, 269, 26121, 998, 782, 918, 1755, 338, 11867, 781, 960, 568, 513, 9157, 267, 1480, 324, 267, 543, 25340, 5683, 6161, 585, 519, 11213, 267, 4190, 267, 4749, 28457, 748, 10701, 340, 885, 540, 1480, 1272, 269, 18496, 6762, 773, 781, 28601, 1353, 568, 607, 1454, 513, 2312, 543, 10888, 4367, 585, 1346, 14542, 609, 918, 1755, 338, 11867, 781, 8874, 607, 621, 568, 513, 29667, 3814, 2565, 813, 26150, 585, 519, 20006, 269, 3962, 4670, 11392, 9488, 6213, 6514, 267, 609, 1082, 12383, 6074, 676, 519, 2278, 547, 20838, 1010, 2079, 269, 1401, 1356, 14186, 689, 519, 20072, 267, 4967, 593, 8254, 6165, 543, 3280, 267, 10411, 15297, 540, 14222, 8090, 910, 782, 891, 3565, 4030, 883, 519, 8689, 781, 3532, 4480, 269, 769, 1840, 267, 6762, 773, 2882, 1082, 10530, 689, 1010, 7391, 609, 918, 1755, 338, 11867, 267, 3850, 2093, 543, 27367, 1344, 547, 10836, 538, 519, 4670, 20447, 781, 1378, 1913, 563, 12892, 9012, 24023, 2725, 1731, 548, 476, 1001, 277, 268, 6349, 268, 4962, 4317, 2923, 5867, 723, 9676, 519, 3007, 543, 9345, 540, 1082, 6634, 540, 1004, 267, 7175, 741, 3755, 547, 1020, 543, 4159, 741, 5876, 267, 547, 26003, 1125, 609, 1866, 267, 543, 547, 1265, 4276, 267, 2792, 543, 1209, 542, 269, 1809, 789, 616, 849, 13178, 1949, 998, 799, 1346, 3755, 1831, 635, 14032, 538, 741, 1378, 5010, 14226, 269, 769, 713, 3015, 1433, 267, 24023, 2725, 1731, 548, 7710, 519, 13253, 1063, 891, 1079, 3344, 540, 1514, 2923, 269, 3245, 9365, 543, 12108, 547, 23749, 543, 13334, 267, 2725, 1731, 548, 12116, 1514, 2923, 607, 6080, 543, 607, 3844, 4609, 585, 1620, 519, 2686, 6214, 540, 4948, 1272, 269, 8490, 593, 519, 1007, 3029, 540, 2792, 543, 15114, 4547, 827, 676, 891, 5867, 267, 646, 23607, 519, 10096, 540, 4687, 543, 7834, 267, 4950, 1509, 525, 267, 1121, 1460, 4529, 543, 12504, 19761, 269, 10801, 267, 4317, 9012, 22851, 609, 2055, 540, 15287, 267, 2773, 267, 5867, 543, 3755, 267, 543, 9727, 875, 3060, 539, 3059, 2923, 616, 7550, 543, 9862, 538, 606, 1604, 3710, 1472, 519, 19427, 540, 2123, 543, 1857, 2792, 563, 763, 6581, 518, 267, 519, 2372, 5593, 267, 519, 2372, 11170, 673, 14731, 8361, 853, 879, 742, 518, 476, 6642, 273, 454, 23173, 5028, 9866, 322, 3120, 267, 31396, 12359, 5866, 9400, 645, 269, 19395, 476, 1220, 274, 769, 8956, 540, 631, 7865, 28952, 781, 2189, 9371, 454, 11675, 576, 7637, 519, 12054, 514, 1961, 267, 2107, 634, 4414, 674, 11921, 540, 519, 27003, 8092, 2904, 928, 1234, 573, 476, 6942, 274, 454, 16676, 6681, 5741, 16816, 1229, 11545, 7917, 24261, 476, 1960, 276, 268, 4905, 7917, 24261, 568, 1655, 1634, 585, 1010, 1713, 7418, 547, 8766, 626, 17001, 543, 1884, 6134, 1148, 267, 607, 1134, 607, 585, 513, 1297, 540, 4922, 9565, 7811, 12591, 593, 1148, 269, 16503, 3603, 2429, 267, 713, 4015, 540, 1010, 25761, 3594, 689, 519, 476, 3422, 271, 338, 547, 519, 476, 2735, 271, 338, 9607, 2647, 8573, 4474, 7214, 543, 10952, 2042, 540, 17001, 267, 9870, 2152, 540, 1570, 640, 267, 2450, 543, 3337, 267, 4550, 268, 650, 4288, 1143, 267, 543, 829, 24632, 2175, 269, 634, 3594, 281, 910, 11872, 593, 31493, 20567, 630, 8512, 338, 476, 272, 268, 275, 1040, 910, 14640, 4813, 269, 910, 2368, 11872, 593, 519, 26263, 1580, 1108, 540, 10435, 281, 634, 9612, 585, 519, 7763, 17300, 269, 910, 634, 3203, 540, 1401, 14571, 269, 910, 8422, 23448, 13305, 529, 783, 20551, 281, 3718, 538, 6713, 269, 910, 2368, 590, 680, 10449, 538, 519, 661, 6277, 570, 728, 269, 910, 1325, 11220, 609, 9294, 8619, 269, 910, 634, 10558, 16301, 540, 6611, 269, 910, 11872, 593, 3203, 607, 270, 663, 8092, 1234, 17474, 269, 910, 1977, 31763, 564, 269, 910, 8422, 674, 9529, 538, 519, 28577, 543, 9050, 32532, 7240, 1306, 1938, 607, 1325, 5586, 1559, 630, 528, 3955, 4533, 687, 1040, 910, 7917, 24261, 1234, 18680, 547, 23011, 667, 21672, 630, 7775, 1772, 2334, 513, 31040, 538, 3733, 3474, 6782, 24047, 1323, 744, 6311, 15477, 2207, 1433, 454, 5715, 8817, 8606, 7825, 1136, 21661, 645, 7451, 28234, 8575, 476, 1001, 280, 268, 1556, 268, 866, 18763, 8606, 7825, 1136, 2066, 645, 7451, 538, 12634, 5607, 12116, 606, 5044, 540, 1313, 16725, 12454, 5708, 543, 17245, 4830, 4670, 3785, 602, 723, 7153, 2094, 519, 2490, 540, 519, 26992, 689, 5101, 543, 14913, 5607, 267, 513, 18843, 540, 30427, 4670, 14708, 602, 4780, 2471, 609, 5607, 781, 7524, 2943, 19514, 569, 2919, 4830, 4670, 5322, 9624, 2518, 683, 565, 28515, 1143, 269, 1452, 3785, 7703, 7198, 547, 543, 616, 8032, 676, 519, 5571, 3140, 3157, 540, 954, 268, 2026, 807, 5872, 6353, 676, 23786, 1483, 9892, 267, 9194, 267, 543, 2551, 12761, 269, 901, 1353, 16060, 1927, 2013, 2090, 540, 18368, 28601, 32349, 267, 5159, 267, 543, 2445, 1161, 971, 607, 18681, 13198, 267, 918, 15120, 18602, 267, 9149, 962, 532, 267, 28635, 8533, 3619, 267, 26232, 1662, 10098, 932, 1731, 752, 334, 267, 543, 11068, 328, 2098, 267, 782, 540, 4171, 1098, 321, 4650, 15322, 543, 14557, 26517, 4337, 5209, 7519, 11979, 3961, 28930, 725, 3710, 2390, 3084, 267, 6803, 267, 610, 2686, 3604, 269, 901, 8473, 2275, 1484, 532, 4670, 14708, 666, 581, 9763, 607, 1312, 606, 12716, 2259, 543, 513, 2797, 957, 267, 1201, 1090, 532, 875, 1004, 267, 4025, 267, 543, 741, 32144, 687, 666, 581, 9228, 4534, 7551, 6679, 909, 7399, 547, 556, 574, 2602, 5607, 543, 922, 4296, 547, 14051, 563, 291, 1168, 323, 28979, 593, 513, 20769, 639, 23516, 476, 1220, 275, 268, 6860, 268, 1724, 634, 5545, 10564, 3146, 743, 2224, 27550, 758, 534, 630, 11260, 279, 1700, 8146, 272, 264, 568, 835, 540, 519, 1034, 11537, 5515, 540, 7489, 3332, 267, 12021, 585, 1010, 4190, 14235, 267, 27610, 30951, 267, 543, 26137, 1915, 269, 1546, 1061, 1947, 2241, 267, 27550, 758, 534, 781, 9954, 16637, 11805, 823, 267, 9306, 21245, 7215, 540, 6986, 24789, 6891, 269, 6145, 1010, 4207, 774, 648, 879, 267, 27550, 758, 534, 22842, 2470, 543, 519, 2067, 1272, 267, 855, 1010, 9954, 5905, 519, 2898, 2039, 540, 1480, 1995, 281, 7772, 543, 18354, 267, 12257, 543, 1928, 267, 21481, 543, 21903, 267, 2648, 543, 20420, 269, 901, 4015, 540, 16627, 9356, 519, 2407, 8552, 540, 27550, 758, 534, 781, 5289, 543, 19621, 5075, 267, 1519, 5545, 688, 30884, 267, 3476, 12563, 8964, 267, 543, 4457, 16654, 14235, 269, 17823, 10117, 13504, 10367, 676, 24230, 6062, 1100, 590, 1263, 2967, 630, 6245, 276, 1700, 4198, 279, 264, 9148, 891, 16627, 543, 18991, 6813, 519, 6891, 540, 713, 4583, 10564, 563, 289, 6350, 1117, 538, 8752, 2806, 2946, 4460, 639, 715, 1941, 525, 476, 1708, 272, 268, 6349, 268, 2420, 14301, 593, 513, 27453, 540, 30951, 3069, 543, 1686, 267, 5696, 19813, 538, 8752, 12116, 875, 519, 1490, 19813, 2262, 5526, 538, 8874, 543, 538, 4670, 4529, 540, 9705, 267, 3567, 267, 15990, 267, 15173, 15158, 267, 543, 11553, 290, 14557, 655, 553, 269, 901, 2882, 14980, 5736, 954, 339, 527, 956, 267, 5705, 527, 956, 267, 2140, 14604, 267, 5022, 267, 1178, 29201, 267, 1439, 10643, 267, 543, 605, 1186, 269, 4460, 639, 715, 1941, 525, 849, 5654, 693, 519, 1909, 540, 30951, 538, 4670, 2528, 693, 1804, 267, 689, 13344, 547, 19359, 547, 10229, 269, 634, 1433, 5956, 609, 513, 3140, 10155, 267, 9477, 875, 30951, 568, 7620, 1031, 538, 2038, 21576, 543, 875, 621, 568, 16111 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5662, 814, 5293, 1063, 10438, 513, 1426, 610, 20892, 1164, 538, 3679, 267, 1354, 17678, 707, 4522, 563, 23945, 2659, 26488, 454, 9596, 2859, 4653, 2336, 10907, 573, 11761, 568, 513, 1360, 1455, 5959, 1072, 3390, 1317, 519, 3536, 649, 2648, 519, 1034, 616, 1419, 519, 27521, 269, 898, 568, 8197, 2009, 547, 8532, 519, 1919, 596, 2648, 1510, 1981, 532, 519, 1072, 540, 707, 12837, 269, 1403, 596, 3494, 602, 596, 949, 581, 7092, 689, 519, 12614, 540, 3679, 11761, 267, 621, 568, 711, 1932, 3735, 547, 9258, 519, 3441, 269, 3776, 9952, 5959, 4648, 666, 948, 1711, 513, 16419, 1544, 547, 10994, 707, 1699, 5711, 3782, 4145, 607, 1134, 607, 547, 948, 596, 2743, 707, 2104, 5959, 3853, 607, 1134, 269, 12315, 3399, 3911, 4979, 5959, 513, 1289, 2221, 269, 1284, 1413, 4464, 547, 5870, 596, 256, 0, 16032, 6176, 15484, 1280, 22084, 344, 674, 16039, 454, 2171, 786, 1832, 596, 8242, 609, 3466, 267, 2069, 267, 2994, 267, 4030, 1299, 14541, 12201, 547, 948, 5397, 707, 4876, 1299, 1788, 1967, 563, 14503, 797, 18401, 281, 27686, 543, 1234, 20761, 20996, 267, 15379, 7010, 454, 30862, 2207, 24315, 4811, 5508, 24199, 8121, 12087, 4041, 303, 339, 269, 476, 272, 281, 24627, 17073, 15863, 12697, 281, 16497, 3231, 2740, 303, 339, 269, 476, 273, 281, 901, 8525, 303, 339, 269, 476, 274, 281, 24627, 15863, 281, 17778, 585, 2552, 13764, 27718, 454, 763, 19578, 11628, 5303, 6997, 729, 835, 540, 519, 1101, 5656, 1261, 831, 543, 1010, 2319, 9619, 269, 966, 2320, 725, 610, 1164, 11195, 543, 2837, 2157, 666, 11874, 1860, 519, 1382, 9744, 779, 3810, 6213, 8955, 3937, 269, 1403, 602, 6213, 1604, 568, 19847, 267, 621, 666, 1439, 9734, 3173, 685, 960, 563, 2108, 10303, 540, 602, 267, 649, 6785, 602, 2679, 729, 2469, 547, 581, 513, 1483, 4161, 547, 2149, 543, 9156, 267, 4470, 593, 875, 1454, 649, 4503, 2223, 1261, 831, 3081, 563, 763, 2679, 779, 5122, 1062, 568, 593, 519, 2666, 6989, 267, 543, 519, 7344, 2230, 568, 2630, 2666, 1377, 269, 4826, 4988, 1312, 2127, 267, 543, 519, 2679, 4503, 922, 2533, 563, 2108, 8253, 1152, 941, 519, 2679, 1949, 2443, 30788, 543, 2964, 1227, 2443, 4299, 2223, 1261, 831, 3081, 269, 968, 763, 3003, 2679, 2968, 4299, 1317, 540, 519, 6213, 3937, 543, 519, 11195, 543, 2837, 269, 594, 1223, 1100, 3476, 1852, 602, 11195, 543, 2837, 269, 1452, 7405, 941, 538, 28855, 344, 3034, 3891, 831, 543, 1010, 2319, 1185, 547, 1847, 519, 3937, 856, 540, 519, 5624, 610, 856, 540, 519, 1216, 543, 5196, 7515, 269, 589, 2147, 3510, 729, 2921, 1747, 3330, 1614, 1883, 4928, 5656, 269, 1677, 5965, 585, 2887, 5049, 267, 1261, 831, 543, 1010, 2319, 1185, 547, 11177, 4238, 538, 519, 1520, 2401, 4750, 1143, 543, 7136, 9442, 8490, 267, 519, 2296, 268, 4942, 3342, 4451, 8490, 543, 519, 2142, 14982, 9442, 5525, 8490, 676, 519, 3791, 3018, 540, 4864, 2443, 606, 5393, 2656, 2490, 19925, 563, 763, 7344, 1949, 538, 1520, 2401, 779, 25810, 941, 27876, 563, 10527, 2011, 11804, 1782, 1062, 1369, 602, 25810, 568, 827, 476, 736, 3952, 2647, 543, 476, 3199, 3952, 1279, 267, 609, 1079, 1804, 3761, 11655, 543, 606, 1648, 7721, 4219, 8868, 2223, 1261, 831, 3081, 269, 968, 10303, 621, 779, 513, 5595, 2914, 6817, 1062, 609, 13471, 538, 621, 267, 649, 2219, 972, 729, 1100, 1259, 649, 1223, 3819, 621, 856, 543, 2973, 621, 909, 3034, 3891, 831, 10924, 23390, 1131, 723, 547, 4894, 519, 2011, 11804, 1782, 1062, 543, 5372, 621, 267, 855, 519, 1062, 729, 1932, 2462, 547, 3274, 1847, 856, 543, 5372, 269, 1924, 1261, 831, 21534, 513, 28079, 547, 1491, 519, 1770, 6306, 543, 25580, 621, 269, 634, 28079, 6569, 519, 1770, 779, 3761, 11655, 267, 26971, 267, 16546, 267, 543, 1648, 8868, 267, 12015, 621, 856, 267, 19345, 621, 267, 543, 32206, 621, 538, 942, 585, 2887, 5049, 563, 28490, 621, 729, 4052, 267, 649, 1705, 5372, 930, 1919, 2223, 1261, 831, 3081, 269, 968, 3719, 538, 14621, 547, 1346, 5656, 649, 1185, 547, 1205, 883, 3028, 865, 3533, 267, 519, 2490, 19925, 2053, 593, 930, 5122, 3334, 2443, 1804, 2736, 619, 267, 2981, 619, 2443, 729, 3564, 513, 942, 649, 1223, 7227, 269, 1403, 621, 729, 2185, 610, 3670, 4374, 540, 6765, 267, 649, 7948, 1406, 7227, 602, 1279, 3034, 4263, 835, 1448, 267, 1261, 831, 1185, 827, 476, 6110, 1004, 7738, 543, 31811, 1949, 543, 3334, 269, 1261, 831, 1281, 711, 3494, 31811, 2443, 2864, 982, 13868, 2443, 891, 1949, 786, 2110, 523, 741, 1272, 9979, 610, 2539, 741, 4398, 267, 1498, 7678, 532, 568, 1175, 25093, 563, 14071, 1810, 1406, 1589, 865, 1317, 540, 519, 9488, 1145, 540, 13868, 519, 1271, 3334, 267, 899, 26971, 267, 610, 519, 9488, 1145, 540, 519, 2973, 5346, 2223, 646, 3081, 269, 0, 309, 12637, 17537, 568, 606, 3968, 799, 568, 3361, 676, 513, 3644, 602, 5631, 5540, 519, 6797, 269, 634, 6797, 568, 28332, 267, 3587, 13035, 543, 4991, 22224, 269, 634, 3968, 666, 6861, 930, 2694, 540, 519, 6797, 563, 2467, 616, 1614, 2596, 2010, 540, 10194, 17537, 281, 22031, 22807, 589, 22031, 22807, 645, 543, 22031, 22807, 595, 269, 1452, 2010, 540, 17537, 4096, 593, 519, 1826, 540, 3644, 602, 568, 3743, 585, 519, 3968, 563, 288, 8772, 3644, 602, 568, 1634, 607, 519, 18232, 17537, 3644, 3123, 17537, 1152, 538, 513, 1268, 945, 568, 2907, 7783, 609, 22031, 22807, 645, 269, 4033, 8290, 7923, 609, 17537, 1331, 22031, 22807, 661, 543, 717, 563, 1692, 1281, 10194, 17537, 2049, 888, 763, 8290, 602, 2014, 17537, 666, 581, 3262, 676, 912, 268, 12526, 689, 15108, 5322, 454, 268, 14413, 638, 2299, 11273, 32729, 3144, 689, 26130, 7297, 454, 268, 4638, 3346, 454, 268, 13572, 19271, 454, 268, 17725, 22024, 454, 268, 23213, 5144, 454, 5278, 2010, 540, 10194, 17537, 666, 581, 5645, 676, 19057, 945, 1397, 1100, 2589, 269, 1452, 1004, 616, 1572, 28105, 19057, 563, 1692, 568, 10194, 17537, 8995, 888, 7312, 4387, 786, 2689, 707, 2589, 543, 4983, 596, 269, 634, 4387, 786, 2046, 707, 17737, 547, 1294, 952, 519, 6797, 568, 8273, 538, 2450, 610, 711, 269, 634, 4387, 666, 1685, 930, 540, 519, 1739, 2978, 4255, 912, 268, 2079, 540, 513, 10729, 3732, 454, 268, 2079, 540, 513, 22454, 3732, 454, 268, 10552, 4255, 267, 1519, 4255, 547, 3313, 1018, 1826, 540, 17537, 596, 723, 563, 1432, 616, 519, 2589, 540, 10194, 17537, 888, 21618, 540, 10194, 17537, 949, 711, 1397, 2394, 476, 273, 4374, 547, 476, 277, 3275, 1310, 513, 1268, 568, 7783, 609, 519, 3644, 267, 610, 972, 949, 2760, 581, 1022, 6654, 2589, 563, 2691, 2589, 1101, 2049, 267, 789, 666, 581, 519, 1739, 6093, 2589, 540, 3968, 912, 268, 2530, 540, 14031, 454, 268, 2489, 31191, 454, 8448, 2009, 2038, 2589, 616, 912, 268, 21422, 32105, 454, 268, 11213, 10549, 454, 268, 2530, 540, 6492, 585, 13189, 538, 21596, 454, 5475, 1896, 2395, 824, 2589, 949, 1246, 912, 268, 15353, 543, 13481, 454, 268, 3983, 7362, 267, 15280, 6492, 538, 519, 5023, 454, 268, 4158, 2989, 10729, 454, 268, 5835, 880, 2960, 543, 4064, 630, 329, 16184, 823, 994, 268, 1928, 2630, 519, 28937, 593, 519, 1318, 2427, 267, 2523, 950, 2604, 568, 4294, 454, 268, 14332, 601, 5322, 602, 616, 17642, 880, 610, 1769, 5835, 543, 949, 581, 3138, 29141, 982, 3339, 454, 1692, 568, 10194, 17537, 5701, 888, 12901, 756, 7821, 616, 711, 3730, 538, 8156, 17537, 269, 634, 8912, 2126, 568, 5127, 1964, 267, 513, 7059, 2732, 267, 543, 2698, 17712, 29561, 689, 4568, 563, 295, 2214, 1388, 1436, 568, 2838, 1152, 538, 811, 3978, 2665, 630, 1721, 3236, 267, 952, 596, 1831, 16094, 13204, 3603, 1040, 1411, 1058, 2057, 2921, 1978, 5061, 602, 616, 8311, 1242, 538, 519, 6797, 269, 9105, 707, 4387, 799, 5061, 891, 616, 269, 0, 16775, 273, 13174, 910, 25226, 20389, 338, 7726, 3883, 2433, 476, 1001, 279, 18873, 454, 7093, 6768, 1453, 585, 23794, 273, 2817, 15099, 18873, 609, 6015, 1210, 20389, 338, 16654, 2055, 269, 18838, 538, 1899, 609, 1007, 4152, 4170, 267, 519, 2259, 2055, 2285, 1453, 10853, 1449, 7041, 269, 20389, 338, 16654, 2055, 11231, 676, 1888, 1858, 2285, 1453, 6098, 543, 5059, 2259, 6619, 540, 519, 23794, 273, 4255, 1421, 2608, 16721, 4100, 1453, 585, 519, 20389, 338, 13174, 25226, 1449, 630, 17549, 476, 272, 12684, 3213, 951, 782, 519, 1543, 543, 1983, 602, 1453, 1223, 581, 7318, 593, 265, 1230, 13935, 2834, 3356, 4255, 547, 2638, 1620, 265, 22291, 4267, 543, 1665, 10325, 265, 2052, 581, 1031, 7258, 19811, 23794, 273, 20389, 338, 31280, 543, 6657, 454, 3963, 16179, 3245, 2974, 888, 10403, 11288, 593, 9753, 936, 1269, 2004, 454, 16521, 875, 3728, 596, 4309, 707, 1931, 609, 519, 2789, 6765, 2409, 649, 723, 547, 2709, 269, 0, 10907, 13224, 328, 910, 513, 887, 4823, 689, 3162, 3013, 563, 13070, 719, 328, 910, 513, 15529, 21092, 887, 4823, 689, 6239, 543, 3162, 3013, 563, 2304, 330, 1961, 2914, 9850, 328, 910, 513, 1826, 540, 12418, 689, 4000, 563, 6635, 6549, 328, 910, 513, 3552, 7823, 13265, 540, 6239, 5607, 563, 289, 2967, 10202, 910, 513, 18107, 514, 540, 3624, 563, 10870, 10620, 910, 513, 25850, 1644, 547, 519, 986, 764, 3019, 563, 10870, 638, 328, 910, 513, 13855, 689, 17896, 22656, 543, 519, 7910, 11866, 563, 295, 758, 328, 910, 513, 3165, 689, 5245, 543, 1715, 10215, 563, 298, 752, 926, 7288, 910, 513, 6177, 689, 1715, 10215, 563, 298, 12685, 328, 910, 513, 8184, 1652, 6177, 689, 1715, 10215, 563, 298, 16211, 910, 513, 3165, 689, 3567, 543, 5101, 5607, 563, 302, 330, 777, 328, 910, 606, 3662, 602, 20998, 513, 30539, 11738, 543, 568, 689, 6239, 4000, 563, 308, 752, 926, 910, 513, 24564, 689, 3162, 3013, 563, 310, 9850, 328, 910, 513, 1826, 540, 10800, 689, 4000, 563, 21953, 328, 910, 513, 12357, 3662, 689, 22615, 11535, 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 ]
[ 602, 3096, 8579, 2409, 547, 3313, 3270, 543, 3466, 269, 898, 666, 849, 581, 1031, 547, 9472, 2104, 535, 6758, 269, 4706, 3156, 1331, 1902, 267, 5663, 267, 543, 1357, 16450, 269, 898, 666, 849, 948, 2569, 3854, 18820, 543, 2087, 2490, 19925, 1974, 563, 763, 9015, 814, 849, 1044, 2059, 609, 519, 4417, 540, 8262, 4578, 269, 27084, 12642, 2645, 267, 2705, 2073, 786, 581, 3908, 950, 621, 2501, 547, 741, 1992, 629, 30276, 543, 8223, 563, 288, 1239, 10196, 779, 2816, 568, 547, 1174, 519, 5072, 540, 519, 9623, 543, 1287, 1349, 1344, 689, 519, 1239, 269, 1452, 4030, 666, 581, 1031, 547, 1628, 2010, 585, 1870, 3664, 269, 1280, 1383, 2073, 513, 1239, 10196, 949, 7654, 1711, 513, 5491, 3556, 12611, 7020, 1982, 585, 513, 4871, 3498, 269, 901, 1184, 666, 4688, 2724, 543, 2569, 3854, 13258, 267, 782, 4352, 5355, 23138, 6278, 563, 763, 2361, 814, 849, 1044, 29211, 519, 2104, 540, 2462, 1239, 538, 851, 676, 519, 4417, 540, 3937, 1565, 267, 799, 2636, 2516, 547, 6023, 13417, 19099, 1239, 269, 3958, 267, 621, 2882, 519, 6165, 540, 16252, 3406, 9817, 267, 799, 666, 948, 12478, 6060, 693, 519, 1283, 540, 6075, 9547, 563, 7212, 1239, 3621, 1382, 543, 1870, 2079, 4865, 2147, 12478, 267, 789, 2965, 723, 1114, 5301, 269, 4578, 2257, 6157, 568, 519, 1353, 540, 1239, 267, 1247, 1870, 2079, 568, 519, 1353, 540, 1870, 269, 0, 19352, 532, 3515, 281, 875, 13896, 543, 5619, 832, 8032, 15117, 5590, 25557, 454, 2005, 3576, 476, 1321, 5619, 6887, 267, 476, 275, 4620, 1431, 267, 476, 273, 751, 5586, 2449, 267, 606, 1931, 2987, 2275, 1735, 4290, 267, 543, 9118, 12220, 1354, 15117, 5590, 25557, 729, 13166, 2016, 519, 3337, 621, 1869, 6585, 2221, 563, 1103, 22632, 540, 713, 26832, 23072, 267, 6443, 721, 585, 513, 1554, 540, 2027, 2238, 547, 2263, 15117, 5590, 25557, 779, 6216, 20642, 8858, 827, 2244, 5619, 532, 269, 8347, 707, 1688, 693, 2596, 5619, 2553, 547, 1711, 707, 1378, 4786, 269, 1215, 1434, 568, 707, 13002, 286, 8347, 2542, 519, 5022, 15117, 5590, 25557, 7264, 2366, 519, 2229, 538, 476, 6642, 278, 267, 476, 6245, 275, 267, 543, 476, 5002, 273, 543, 1294, 952, 596, 666, 798, 1732, 982, 789, 1705, 609, 513, 4050, 543, 13504, 269, 1452, 2238, 786, 7866, 4241, 2984, 827, 519, 1646, 543, 1686, 540, 15117, 5590, 25557, 269, 0, 1432, 616, 9103, 655, 18635, 28866, 888, 1432, 568, 513, 570, 582, 655, 24504, 286, 589, 17001, 1500, 540, 1390, 4054, 563, 1432, 1281, 513, 9103, 655, 2099, 1895, 540, 2626, 5079, 888, 288, 9103, 655, 630, 302, 329, 756, 933, 546, 797, 655, 264, 568, 513, 6891, 1373, 267, 10723, 1843, 267, 610, 3090, 602, 5713, 607, 606, 30118, 540, 513, 1895, 540, 1004, 267, 971, 607, 513, 1920, 267, 28334, 267, 22871, 267, 610, 14316, 267, 971, 607, 538, 519, 1323, 880, 2088, 23042, 28334, 1062, 563, 1432, 568, 3020, 9103, 655, 15393, 888, 307, 582, 655, 18635, 616, 20375, 2813, 676, 3689, 8315, 540, 519, 7414, 19566, 547, 2099, 543, 29428, 22693, 267, 12583, 267, 1004, 267, 610, 2621, 269, 570, 582, 655, 18635, 616, 3335, 2813, 856, 540, 2699, 524, 25729, 267, 513, 544, 4150, 762, 3574, 5266, 10731, 538, 519, 7414, 19566, 267, 543, 1131, 581, 25517, 547, 581, 7298, 1369, 513, 2146, 563, 1432, 568, 513, 9103, 655, 15393, 31872, 273, 888, 307, 582, 655, 18635, 941, 3710, 676, 827, 476, 1789, 7111, 1977, 11031, 2713, 2059, 519, 19566, 7414, 5032, 540, 3345, 3013, 269, 1452, 11308, 20610, 267, 20077, 609, 2592, 540, 2831, 543, 6698, 267, 941, 20375, 11589, 513, 1920, 779, 4567, 1369, 513, 14316, 269, 901, 4847, 873, 942, 547, 1020, 513, 2189, 1106, 540, 1148, 267, 519, 9103, 655, 15393, 563, 1432, 568, 513, 9103, 655, 15393, 538, 11418, 888, 307, 582, 655, 1790, 1961, 3977, 267, 849, 1634, 607, 513, 7903, 1790, 1638, 3977, 267, 568, 513, 1826, 540, 5907, 5547, 543, 2356, 7691, 607, 513, 14911, 6292, 540, 27820, 269, 634, 4400, 543, 8899, 1377, 540, 519, 3977, 616, 5462, 269, 634, 3977, 540, 1164, 1377, 568, 476, 1015, 966, 3193, 267, 1970, 1377, 568, 476, 271, 269, 276, 966, 1295, 563, 1432, 2831, 616, 538, 513, 9103, 655, 15393, 888, 307, 582, 655, 15393, 2831, 634, 2831, 596, 3580, 1294, 1034, 1419, 593, 513, 9103, 655, 15393, 616, 519, 23914, 267, 986, 1597, 267, 19711, 12704, 267, 7703, 267, 581, 11232, 267, 18896, 267, 20740, 17962, 543, 13855, 563, 1432, 568, 513, 9103, 655, 15393, 31872, 272, 888, 1432, 568, 4095, 9103, 655, 15393, 888, 30943, 1977, 570, 582, 655, 2717, 525, 610, 9708, 616, 18810, 20077, 883, 1804, 512, 816, 676, 4529, 540, 519, 6805, 9082, 540, 519, 7414, 19566, 11076, 540, 3345, 3013, 269, 634, 2262, 9103, 655, 568, 6508, 689, 519, 744, 329, 756, 933, 630, 2419, 2089, 1168, 320, 264, 2262, 2048, 617, 797, 655, 685, 2495, 968, 20130, 737, 29023, 1895, 6100, 570, 582, 655, 2717, 525, 941, 711, 26902, 5792, 855, 789, 6273, 2463, 269, 0, 8512, 5565, 281, 634, 966, 1779, 344, 4471, 454, 306, 9331, 300, 14473, 5508, 18040, 2969, 670, 3008, 18688, 2894, 29706, 13993, 23360, 3633, 454, 2704, 828, 747, 267, 540, 519, 5198, 540, 519, 715, 756, 601, 31258, 267, 1185, 21687, 519, 4154, 540, 519, 10910, 710, 543, 585, 3022, 513, 8258, 689, 621, 267, 799, 5795, 1864, 1379, 543, 5763, 269, 634, 5601, 654, 582, 534, 729, 547, 8007, 519, 23766, 674, 553, 27117, 543, 674, 2378, 1676, 585, 2348, 3710, 4406, 327, 718, 320, 267, 543, 646, 5795, 873, 519, 13284, 1127, 543, 519, 11344, 8258, 799, 646, 1185, 3144, 689, 19499, 747, 519, 715, 756, 601, 2426, 269, 1306, 19499, 747, 1185, 17400, 539, 519, 8258, 267, 607, 4166, 607, 674, 553, 27117, 2322, 621, 593, 1010, 9416, 267, 1010, 13959, 674, 2378, 1676, 1159, 14414, 1010, 15693, 609, 513, 521, 1578, 5069, 1067, 543, 646, 2968, 519, 6852, 8227, 540, 3388, 563, 763, 5869, 540, 519, 966, 7238, 3149, 31258, 454, 288, 1279, 942, 1185, 5293, 2094, 519, 715, 756, 601, 2426, 19499, 747, 1185, 21687, 519, 4154, 689, 519, 10910, 710, 269, 769, 519, 29291, 267, 2367, 1185, 13175, 741, 26481, 21535, 338, 269, 634, 6560, 729, 1063, 1079, 15852, 5011, 281, 519, 966, 7238, 3149, 31258, 267, 6870, 676, 654, 582, 534, 267, 543, 519, 3026, 573, 902, 267, 12797, 2572, 540, 519, 715, 756, 601, 684, 2102, 563, 763, 8370, 966, 1779, 344, 1845, 267, 20766, 540, 519, 18459, 540, 4406, 327, 718, 320, 267, 941, 1459, 538, 519, 5394, 540, 519, 8165, 543, 13603, 909, 519, 12325, 945, 8593, 593, 519, 6370, 26753, 269, 2201, 741, 9640, 267, 15865, 607, 789, 941, 267, 519, 12703, 2549, 1794, 976, 5645, 519, 4703, 540, 519, 21847, 547, 519, 705, 1712, 540, 519, 10971, 267, 1141, 741, 32161, 20339, 4646, 519, 24123, 9856, 540, 4406, 327, 718, 320, 563, 310, 582, 534, 556, 11220, 9631, 30876, 6974, 936, 519, 10971, 267, 855, 646, 2141, 2219, 540, 519, 8258, 585, 3022, 676, 19499, 747, 689, 519, 4154, 540, 519, 10910, 710, 267, 799, 646, 267, 519, 5601, 540, 5126, 267, 1185, 14324, 689, 519, 1688, 540, 519, 715, 756, 601, 2426, 676, 3257, 5208, 547, 519, 715, 756, 601, 2426, 269, 1261, 1185, 1287, 1044, 7142, 547, 2285, 519, 13049, 547, 519, 23766, 538, 5385, 585, 6154, 807, 267, 519, 15831, 540, 18163, 6107, 563, 763, 8258, 729, 1869, 538, 519, 15896, 540, 519, 9649, 674, 2378, 1676, 267, 2059, 609, 519, 9059, 24743, 543, 782, 519, 13284, 1127, 602, 654, 582, 534, 1185, 3144, 689, 19499, 747, 269, 634, 5601, 1223, 711, 1491, 621, 689, 1864, 282, 646, 729, 15286, 689, 3257, 865, 676, 519, 533, 716, 1500, 609, 519, 9649, 267, 27485, 593, 1010, 11849, 2389, 872, 14788, 282, 855, 646, 1223, 20630, 621, 676, 930, 5869, 540, 519, 966, 7238, 3149, 2426, 5198, 267, 945, 941, 1010, 1486, 2946, 326, 15530, 563, 4002, 835, 540, 1010, 32603, 902, 998, 519, 3618, 267, 654, 582, 534, 267, 20386, 538, 513, 18896, 2960, 267, 9411, 519, 4104, 269, 769, 513, 554, 583, 267, 646, 4862, 519, 29595, 540, 513, 1126, 269, 1261, 729, 4805, 267, 22290, 1010, 4666, 3993, 563, 763, 2370, 7911, 729, 7347, 543, 24526, 269, 3245, 1010, 2934, 267, 519, 19036, 540, 519, 10971, 4718, 602, 646, 729, 513, 966, 7238, 3149, 2426, 543, 2219, 281, 968, 1607, 949, 581, 519, 5869, 945, 786, 2879, 2255, 519, 8258, 689, 674, 2378, 1676, 269, 1261, 3957, 1864, 590, 20672, 24792, 267, 6659, 1864, 538, 519, 1647, 540, 519, 26570, 543, 26224, 1864, 547, 3068, 519, 6574, 12178, 563, 2691, 646, 729, 18923, 856, 540, 26638, 267, 590, 20672, 24792, 3459, 547, 4339, 519, 14763, 540, 1010, 5198, 269, 3683, 519, 1296, 267, 1082, 715, 756, 601, 31258, 8593, 896, 1010, 9514, 338, 267, 855, 538, 606, 5605, 2313, 267, 646, 4503, 1010, 9604, 267, 729, 20754, 267, 543, 1223, 1152, 2057, 2669, 676, 7904, 4370, 998, 519, 4104, 8015, 513, 29695, 7088, 563, 5475, 29595, 998, 519, 4104, 782, 3781, 267, 646, 3357, 547, 513, 1804, 554, 583, 269, 589, 1762, 4807, 5795, 1864, 24756, 543, 21039, 1010, 16398, 269, 2991, 1896, 3108, 540, 1964, 267, 590, 20672, 24792, 2893, 909, 543, 4280, 519, 1762, 4807, 1200, 2012, 543, 22871, 563, 2108, 7069, 2012, 568, 27119, 6921, 785, 324, 2223, 1352, 12943, 609, 513, 8909, 20020, 269, 968, 296, 993, 540, 966, 7238, 3149, 2426, 6006, 267, 855, 1250, 9393, 568, 711, 282, 646, 568, 513, 3026, 4575, 269, 3571, 2012, 568, 670, 27448, 269, 1261, 16091, 1250, 1004, 543, 4547, 803, 1934, 269, 594, 729, 3592, 513, 1126, 1287, 543, 646, 7142, 803, 547, 581, 1010, 7385, 282, 689, 602, 1554, 593, 594, 723, 1044, 609, 1864, 267, 1454, 547, 1250, 26845, 3034, 306, 20672, 24792, 6836, 547, 1205, 909, 563, 14881, 993, 538, 519, 2777, 540, 606, 10546, 540, 1250, 5198, 2223, 646, 1767, 269, 968, 296, 786, 711, 3251, 1934, 513, 8792, 3476, 3034, 2108, 4263, 713, 4090, 594, 993, 519, 5134, 816, 540, 713, 2777, 267, 543, 594, 993, 540, 707, 5198, 269, 1280, 930, 2395, 2250, 670, 27448, 814, 1044, 7722, 538, 513, 10122, 5428, 2484, 2476, 689, 1934, 269, 8751, 6563, 267, 950, 596, 616, 16626, 689, 707, 16398, 267, 596, 949, 979, 3034, 2005, 729, 711, 2943, 4158, 950, 519, 7450, 8118, 543, 670, 27448, 9411, 563, 8450, 532, 519, 812, 14084, 676, 519, 3595, 267, 646, 20402, 27119, 6921, 785, 324, 912, 2108, 3891, 3207, 338, 282, 646, 568, 20754, 2223, 1352, 12943, 269, 2913, 1864, 1964, 2394, 21554, 267, 1256, 952, 649, 1810, 1406, 917, 945, 646, 568, 269, 9869, 20890, 568, 10723, 269, 16259, 803, 930, 803, 611, 269, 594, 993, 19818, 344, 543, 13110, 269, 594, 786, 3207, 3280, 569, 9522, 697, 267, 543, 4473, 2038, 14182, 3034, 4517, 8197, 267, 670, 27448, 8593, 883, 513, 1454, 4514, 3207, 982, 646, 1185, 16545, 269, 27119, 6921, 785, 324, 23953, 513, 27640, 5328, 883, 519, 1166, 2532, 540, 803, 611, 1352, 6035, 547, 519, 11315, 25433, 269, 4762, 1211, 602, 1200, 9393, 1131, 711, 12687, 1354, 21554, 267, 519, 1762, 4807, 14059, 590, 20672, 24792, 543, 1767, 912, 2108, 4131, 721, 25176, 267, 590, 20672, 24792, 256, 594, 666, 1100, 3476, 581, 519, 10553, 540, 513, 812, 945, 10032, 1250, 1753, 543, 23689, 1250, 1004, 3034, 14881, 666, 4734, 519, 2777, 540, 1250, 10546, 267, 855, 952, 594, 25176, 609, 596, 594, 786, 581, 22867, 513, 18205, 1055, 775, 1996, 519, 4031, 540, 24756, 269, 6333, 602, 596, 616, 519, 7385, 540, 519, 8227, 540, 713, 554, 583, 538, 799, 596, 723, 1352, 2741, 1229, 803, 269, 670, 27448, 786, 6968, 721, 1524, 543, 6146, 721, 1312, 269, 634, 10971, 1131, 2149, 1864, 538, 519, 2680, 540, 513, 4339, 267, 585, 646, 1131, 957, 538, 20237, 540, 1010, 521, 1638, 1221, 22632, 3034, 2108, 3891, 568, 707, 10546, 267, 543, 594, 993, 835, 540, 707, 1973, 267, 7247, 646, 6585, 26956, 607, 24401, 2812, 540, 2112, 256, 1411, 723, 711, 4607, 24756, 689, 1864, 269, 898, 729, 594, 945, 3576, 596, 883, 519, 554, 583, 269, 1261, 1131, 711, 723, 2944, 865, 267, 15983, 3034, 14071, 616, 4881, 547, 1978 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3287, 4917, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 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, 8080, 547, 606, 3078, 3460, 998, 8837, 22553, 13335, 4886, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 875, 23501, 1711, 3579, 2645, 543, 3301, 602, 3744, 946, 585, 4241, 3785, 899, 4974, 2230, 267, 13830, 2564, 2592, 267, 543, 7421, 12862, 538, 5163, 269, 1284, 786, 1445, 593, 2870, 938, 1360, 1378, 5691, 834, 31748, 5028, 2437, 2147, 547, 1346, 1031, 676, 3173, 1472, 519, 1158, 780, 5331, 596, 616, 513, 10196, 2324, 3735, 693, 3781, 267, 3843, 547, 7001, 2592, 540, 11397, 15270, 1210, 513, 2027, 8254, 1572, 513, 595, 7374, 8254, 269, 1452, 12514, 723, 8596, 602, 2445, 1769, 543, 6460, 621, 883, 3059, 1344, 865, 596, 666, 1294, 5961, 540, 30152, 3615, 269, 3776, 3804, 2221, 568, 547, 1174, 1018, 2306, 891, 12514, 2189, 543, 1451, 827, 5752, 2035, 2059, 519, 1259, 780, 5575, 267, 1577, 781, 2911, 827, 595, 7374, 8596, 269, 1358, 2097, 538, 1114, 7306, 267, 1175, 899, 2834, 12514, 269, 1280, 713, 1383, 267, 4952, 938, 595, 7374, 9300, 814, 513, 6571, 540, 476, 277, 269, 272, 19251, 777, 1460, 1564, 630, 7474, 1797, 621, 666, 3132, 2592, 609, 5111, 476, 277, 269, 272, 2929, 19641, 1040, 589, 2362, 1297, 1934, 2164, 538, 1732, 2298, 2592, 269, 3767, 267, 1589, 540, 1142, 18920, 607, 513, 6263, 8708, 10655, 22726, 9789, 10545, 5536, 540, 1769, 269, 1879, 2614, 22726, 6445, 513, 8708, 267, 621, 3587, 2407, 543, 15920, 922, 9115, 547, 1776, 5057, 3330, 519, 8254, 585, 4393, 269, 2334, 781, 950, 9059, 4523, 267, 543, 707, 2780, 11392, 519, 1239, 547, 4159, 513, 2347, 4605, 2439, 3086, 267, 1946, 798, 930, 595, 7374, 12514, 991, 547, 581, 22799, 286, 4279, 2243, 256, 1635, 9023, 1524, 519, 595, 7374, 9300, 267, 649, 2569, 13311, 5122, 6786, 6383, 1813, 547, 3002, 269, 10815, 3002, 1797, 7864, 7301, 6786, 267, 4611, 538, 20501, 2592, 269, 1924, 267, 938, 5691, 8254, 786, 18082, 2348, 513, 3532, 9023, 7271, 602, 8952, 5210, 5393, 1970, 780, 9202, 267, 649, 1616, 938, 5691, 8254, 547, 1491, 6337, 3533, 543, 10502, 269, 1677, 3035, 602, 267, 649, 666, 1039, 2934, 899, 5907, 12153, 269, 6056, 540, 873, 607, 2706, 9724, 9505, 614, 16181, 15181, 20716, 3842, 12981, 2366, 998, 12904, 269, 2060, 891, 12153, 267, 649, 666, 1852, 950, 938, 5691, 8254, 6238, 543, 13515, 2921, 2592, 543, 1256, 15222, 1125, 621, 609, 824, 3457, 269, 1215, 15813, 1131, 621, 581, 952, 649, 1223, 1374, 513, 1062, 1141, 2789, 12514, 960, 8195, 547, 7747, 9259, 3564, 1480, 8226, 2496, 12234, 267, 4359, 595, 7374, 12514, 2709, 1945, 1572, 623, 4353, 7154, 269, 898, 6763, 585, 3487, 1834, 12005, 20653, 665, 574, 4479, 267, 799, 2636, 3744, 547, 5659, 5714, 5322, 676, 6385, 2879, 6260, 1079, 15654, 14604, 1369, 6071, 2890, 572, 6948, 6306, 269, 5994, 8384, 20256, 10943, 1662, 5196, 513, 2627, 282, 11287, 741, 5163, 7406, 8386, 1922, 9347, 2337, 721, 10146, 1950, 2168, 3157, 3297, 4948, 20825, 780, 7661, 267, 3314, 875, 594, 5018, 4505, 602, 4778, 616, 2813, 1210, 12086, 286, 4270, 267, 7058, 1018, 286, 1411, 666, 1628, 602, 4183, 1932, 256, 17006, 606, 28253, 1305, 540, 12086, 13071, 3755, 2824, 1808, 9832, 540, 519, 13590, 8552, 789, 6999, 547, 4983, 269, 22582, 267, 938, 2241, 5691, 8254, 7140, 883, 513, 11684, 1907, 5827, 540, 890, 22701, 883, 1585, 15174, 540, 519, 7122, 267, 1318, 689, 707, 5496, 2439, 2026, 596, 666, 1294, 267, 972, 781, 1454, 811, 547, 3498, 1646, 982, 10742, 519, 3750, 269, 8490, 3292, 3340, 1620, 1483, 8996, 2042, 543, 8888, 3435, 9935, 269, 3414, 1565, 8837, 22553, 13335, 4886, 267, 596, 1930, 9885, 547, 9118, 7399, 267, 7175, 3054, 547, 4739, 5499, 2645, 5935, 14182, 781, 2257, 8906, 269, 8414, 8193, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 304, 10485, 19954, 476, 277, 269, 272, 454, 304, 10485, 19954, 476, 277, 269, 272, 476, 277, 269, 272, 5404, 15346, 539, 595, 7374, 31396, 454, 763, 1627, 10485, 19954, 476, 277, 269, 272, 2203, 8254, 18271, 606, 476, 277, 269, 272, 5404, 590, 3415, 595, 7374, 3239, 9300, 269, 901, 1007, 5108, 540, 590, 3415, 9300, 3091, 7415, 8417, 609, 8445, 1627, 292, 540, 936, 476, 4037, 10065, 634, 1164, 8417, 267, 2647, 6422, 2039, 267, 12242, 1224, 3928, 267, 1970, 6846, 2773, 543, 4835, 476, 276, 610, 476, 279, 1790, 3789, 2681, 6882, 14743, 1118, 519, 1627, 10485, 19954, 476, 277, 269, 272, 23679, 14018, 547, 513, 3376, 2039, 540, 14053, 3621, 267, 2564, 267, 24666, 267, 543, 4853, 9196, 3156, 563, 763, 19954, 476, 277, 269, 272, 666, 581, 27358, 585, 3156, 689, 519, 3308, 6512, 883, 519, 715, 7644, 689, 476, 12573, 333, 332, 909, 547, 476, 8099, 271, 333, 332, 269, 18329, 3403, 543, 3977, 12153, 609, 26125, 607, 1970, 607, 476, 276, 382, 369, 5913, 1450, 5730, 4598, 12557, 543, 24254, 540, 5007, 2621, 971, 607, 588, 13681, 525, 269, 634, 19954, 476, 277, 269, 272, 849, 7028, 3487, 1834, 12005, 20653, 665, 574, 4479, 630, 303, 4353, 264, 4598, 7154, 585, 2095, 14839, 609, 1079, 23927, 607, 2673, 1927, 607, 476, 1911, 382, 369, 5913, 563, 290, 944, 532, 593, 519, 19954, 10022, 568, 6913, 609, 513, 2688, 476, 273, 22533, 570, 4488, 5885, 14931, 9023, 547, 3436, 2412, 290, 2630, 19355, 267, 610, 3152, 982, 476, 275, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20360, 3298, 22553, 13335, 4886, 257, 607, 851, 540, 834, 28035, 1315, 14691, 1315, 9786, 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, 5403, 31691, 12870, 281, 589, 5564, 604, 14239, 3955, 2452, 9737, 4284, 8344, 22948, 543, 16723, 4270, 7424, 692, 12831, 1833, 568, 513, 1950, 2790, 1072, 4524, 602, 666, 1860, 2043, 2066, 519, 14438, 267, 1519, 1007, 11299, 1282, 519, 2022, 31691, 1974, 269, 5403, 31691, 4965, 630, 303, 11520, 1070, 4481, 267, 4016, 547, 513, 2101, 19591, 12558, 602, 4386, 1369, 2185, 4374, 1739, 27638, 630, 13563, 5369, 12278, 5948, 267, 476, 1001, 274, 1040, 4014, 621, 814, 1279, 1044, 2808, 5097, 513, 5626, 3390, 267, 1382, 936, 519, 2250, 1906, 5756, 814, 12006, 519, 2565, 1909, 5129, 676, 12214, 3157, 538, 922, 31630, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 6946, 2078, 1063, 5626, 543, 12214, 3344, 540, 2860, 1981, 543, 11144, 267, 5373, 2390, 4681, 689, 519, 2361, 540, 2618, 821, 1755, 9404, 684, 1108, 269, 1284, 786, 1287, 4019, 713, 1702, 547, 1732, 1174, 623, 11520, 543, 922, 1761, 4539, 585, 1312, 3993, 543, 10867, 8171, 780, 8139, 5369, 821, 1755, 9404, 684, 1108, 454, 1366, 15365, 20329, 821, 1755, 9404, 684, 1108, 568, 606, 15834, 2361, 6131, 547, 19286, 908, 519, 19915, 27399, 2792, 1063, 519, 8401, 1062, 543, 519, 4761, 1062, 630, 296, 337, 7773, 1299, 23045, 267, 476, 1001, 272, 1040, 901, 24567, 1858, 540, 1353, 814, 3366, 547, 14262, 8906, 3823, 875, 3929, 2829, 267, 971, 607, 2566, 543, 4965, 267, 666, 1764, 4761, 8647, 267, 7551, 12018, 2068, 18687, 543, 11144, 269, 2290, 1883, 6345, 538, 713, 1184, 568, 519, 20968, 15401, 545, 1790, 15856, 3202, 14194, 1066, 531, 630, 295, 5183, 264, 7852, 267, 799, 5713, 607, 519, 3119, 5778, 754, 18355, 18657, 1807, 540, 519, 1560, 781, 2566, 3210, 630, 25629, 580, 657, 1299, 932, 9317, 657, 267, 476, 1220, 273, 1040, 7201, 2175, 540, 5312, 2566, 610, 7099, 4713, 899, 4965, 267, 12675, 11852, 540, 519, 670, 5183, 7852, 2164, 538, 11506, 2157, 540, 6722, 665, 20294, 6950, 1107, 10399, 3743, 585, 15725, 10894, 267, 12982, 267, 543, 4761, 6114, 2429, 519, 1560, 630, 300, 14525, 1696, 620, 1421, 476, 1220, 280, 1040, 3683, 942, 267, 7050, 4598, 547, 6722, 665, 20294, 6950, 666, 1291, 547, 7988, 28832, 540, 4761, 1599, 267, 2810, 13438, 547, 11763, 3676, 543, 1978, 3029, 540, 2860, 630, 306, 1122, 518, 560, 668, 1299, 16019, 267, 476, 1220, 275, 6393, 3412, 332, 2317, 21619, 10818, 538, 18127, 13262, 543, 12870, 454, 14343, 19567, 288, 5763, 540, 840, 30570, 543, 4791, 1239, 7028, 519, 10206, 602, 5312, 2566, 543, 4965, 616, 2404, 609, 12012, 4761, 8647, 693, 2789, 2157, 267, 8151, 689, 10408, 1198, 528, 6127, 547, 19729, 29299, 543, 2447, 758, 1149, 630, 10908, 6471, 1299, 918, 773, 3712, 339, 8566, 331, 6471, 267, 476, 1220, 276, 1040, 1280, 3236, 267, 2067, 20740, 630, 301, 298, 264, 2281, 1107, 9726, 14231, 5827, 540, 9301, 543, 21006, 3644, 29795, 539, 543, 23872, 2281, 1510, 18970, 6881, 1107, 8858, 4389, 11118, 25570, 640, 896, 2175, 540, 5312, 2566, 543, 4965, 630, 289, 839, 577, 641, 1696, 620, 1421, 476, 1960, 277, 282, 7054, 7773, 1696, 620, 1421, 476, 1960, 271, 1040, 6684, 267, 570, 16052, 18735, 538, 3210, 547, 5378, 11077, 568, 1419, 21022, 1851, 12225, 1227, 14129, 610, 20158, 2043, 267, 22566, 540, 6626, 12889, 538, 13261, 4761, 13178, 630, 292, 6352, 28325, 1696, 620, 1421, 476, 1220, 271, 1040, 5015, 267, 2799, 2504, 540, 605, 514, 11987, 29299, 267, 971, 607, 10510, 27394, 15727, 3815, 268, 10401, 630, 307, 22143, 268, 10382, 264, 543, 17727, 4157, 514, 268, 277, 630, 6579, 268, 277, 1070, 814, 1044, 4767, 538, 1312, 3662, 3631, 540, 5312, 2566, 543, 1480, 5396, 7680, 4965, 630, 291, 25717, 10620, 1696, 620, 1421, 476, 1001, 271, 282, 8575, 1512, 1299, 20242, 9469, 267, 476, 1960, 279, 1040, 1452, 29299, 1404, 2629, 5107, 538, 27510, 543, 4509, 6553, 267, 7700, 547, 5160, 3441, 543, 5732, 5807, 15910, 14003, 630, 294, 516, 1084, 1299, 6182, 1508, 23364, 990, 267, 476, 1001, 280, 6393, 8070, 31691, 12870, 281, 1323, 6715, 13577, 21887, 454, 14343, 14945, 1103, 1769, 540, 891, 4681, 267, 3173, 723, 13175, 3695, 2436, 2147, 4761, 32677, 725, 1522, 581, 26582, 538, 519, 2619, 30986, 540, 623, 11520, 269, 11569, 267, 1896, 2090, 2303, 602, 2021, 609, 623, 11520, 4159, 32623, 7949, 3270, 540, 4761, 2534, 3379, 547, 741, 1875, 31398, 5962, 13413, 630, 293, 1752, 267, 476, 1001, 271, 282, 20122, 601, 1696, 620, 1421, 476, 1220, 279, 1040, 13018, 267, 2362, 21883, 2157, 540, 14889, 268, 277, 543, 595, 3146, 5562, 3940, 630, 10135, 303, 264, 1107, 513, 19654, 15262, 540, 17916, 4761, 11852, 1107, 723, 1044, 4080, 1851, 2021, 8995, 609, 623, 11520, 630, 293, 9820, 531, 4211, 1722, 1696, 620, 1421, 476, 1220, 279, 282, 623, 926, 25366, 1696, 620, 1421, 476, 1220, 280, 1040, 5047, 267, 715, 298, 1591, 11118, 25570, 640, 5526, 547, 581, 2539, 538, 2021, 7092, 689, 623, 11520, 982, 1346, 945, 616, 711, 630, 11675, 6759, 26369, 1696, 620, 1421, 476, 1001, 271, 1040, 9717, 602, 6379, 3294, 13054, 513, 2189, 1106, 540, 28772, 11043, 2566, 6353, 676, 1713, 25012, 543, 6375, 11043, 2242, 267, 621, 6763, 547, 2601, 602, 21463, 538, 14774, 4761, 27921, 1223, 3565, 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, 26524, 6168, 22647, 4804, 888, 1432, 568, 519, 1858, 540, 513, 5858, 4586, 8698, 901, 9452, 4580, 607, 513, 22391, 8058, 2336, 8620, 707, 1378, 2336, 12024, 1548, 1411, 6423, 888, 1607, 1650, 4580, 729, 2813, 609, 454, 296, 723, 2141, 9289, 1018, 568, 519, 1858, 540, 519, 5858, 602, 2842, 1984, 5932, 1547, 7069, 19033, 2141, 1767, 2073, 257, 12179, 2251, 568, 2009, 609, 519, 948, 540, 513, 10800, 1547, 257, 3383, 594, 786, 2307, 519, 10800, 4586, 20756, 2073, 290, 578, 2626, 1250, 2243, 875, 798, 596, 1265, 519, 1858, 540, 602, 2842, 17524, 454, 300, 5622, 5622, 256, 13100, 678, 273, 563, 5472, 596, 991, 547, 798, 568, 547, 27655, 519, 4542, 14039, 610, 476, 274, 269, 1691, 1535, 8953, 538, 713, 2013, 476, 1321, 1111, 1287, 9062, 476, 1321, 676, 3294, 610, 4009, 621, 1287, 596, 786, 1205, 519, 2626, 454, 3086, 585, 519, 2626, 547, 707, 2243, 1018, 568, 519, 1858, 540, 519, 5858, 602, 519, 2842, 17524, 2306, 1101, 9062, 476, 1321, 676, 3294, 547, 1205, 476, 13893, 1547, 4517, 9062, 602, 676, 476, 274, 269, 1691, 610, 14039, 547, 1205, 519, 2626, 476, 3393, 273, 269, 1626, 454, 2710, 596, 1205, 621, 1631, 610, 798, 596, 991, 811, 948, 4586, 7021, 476, 1691, 28985, 454, 8620, 3733, 3689, 9452, 4580, 0, 1432, 941, 519, 15080, 540, 32700, 543, 1018, 1500, 873, 4617, 286, 634, 8467, 540, 519, 15080, 540, 32700, 729, 602, 6837, 729, 711, 2178, 2614, 547, 17997, 4031, 610, 6318, 9204, 267, 1818, 621, 2352, 585, 519, 1007, 4182, 547, 23231, 741, 22440, 454, 1432, 1705, 519, 5853, 532, 12429, 338, 6430, 547, 798, 609, 519, 15080, 540, 32700, 543, 1018, 616, 930, 1919, 789, 1705, 547, 1689, 621, 286, 763, 5853, 532, 12429, 338, 5433, 519, 991, 547, 1689, 519, 15080, 540, 18183, 539, 3130, 1317, 540, 519, 7287, 585, 513, 6793, 6554, 269, 543, 789, 4941, 547, 9106, 613, 519, 2898, 3561, 454, 1432, 616, 519, 1614, 8371, 540, 2229, 543, 1018, 616, 930, 1919, 596, 917, 827, 1142, 540, 873, 286, 1410, 1815, 5737, 267, 15424, 267, 543, 16324, 269, 25041, 8255, 585, 10324, 563, 15152, 519, 2136, 2276, 9139, 267, 1018, 1705, 519, 15424, 7936, 1413, 899, 286, 26765, 529, 331, 894, 25032, 5161, 540, 519, 5600, 540, 24929, 543, 519, 14130, 267, 799, 1927, 1106, 519, 2136, 2276, 6837, 563, 8005, 1185, 513, 1688, 538, 2870, 519, 9291, 540, 7126, 267, 1018, 729, 1031, 547, 1711, 621, 543, 1018, 729, 922, 3483, 286, 6723, 544, 1783, 454, 8005, 941, 519, 1101, 2947, 3465, 6342, 540, 519, 2136, 2276, 286, 6723, 6115, 267, 14646, 17566, 267, 28114, 16962, 267, 6276, 23885, 267, 543, 6276, 1395, 19172, 0, 22033, 585, 1053, 267, 12200, 543, 5234, 3823, 5046, 268, 866, 269, 630, 24993, 281, 476, 275, 4873, 476, 1708, 271, 994, 763, 3804, 540, 8887, 643, 2065, 1140, 846, 1718, 6323, 8047, 568, 8955, 12454, 5108, 540, 519, 20125, 1769, 543, 6475, 20512, 2479, 6913, 267, 799, 723, 546, 15342, 538, 519, 1140, 846, 1718, 12512, 267, 543, 741, 3498, 585, 2083, 2719, 6475, 6384, 538, 2339, 971, 607, 8444, 267, 6675, 267, 543, 9357, 1242, 2326, 267, 1775, 4318, 269, 9842, 5733, 269, 901, 1382, 568, 11319, 519, 7182, 538, 1585, 4610, 971, 607, 1454, 5488, 630, 2775, 12454, 264, 11418, 267, 2497, 8990, 538, 6915, 2173, 20510, 9443, 610, 1985, 1377, 13796, 1558, 14347, 563, 2791, 666, 1265, 811, 1344, 827, 938, 1382, 593, 938, 4013, 1357, 267, 799, 596, 786, 1265, 1934, 563, 8448, 2319, 2818, 912, 22913, 1053, 281, 17722, 7982, 26684, 267, 2506, 559, 18897, 514, 267, 2473, 328, 8500, 340, 18961, 543, 2473, 807, 1195, 532, 18681, 0, 10998, 12224, 10298, 585, 4147, 476, 279, 13174, 3848, 476, 277, 8293, 4100, 543, 12384, 24306, 630, 13052, 476, 277, 269, 272, 264, 11644, 476, 277, 269, 272, 454, 299, 1933, 532, 2859, 10298, 2483, 2171, 616, 5356, 9621, 2164, 602, 666, 1291, 547, 513, 22273, 5534, 1101, 11665, 7436, 538, 519, 11400, 269, 1411, 1451, 707, 2474, 538, 3015, 1893, 267, 543, 519, 12596, 649, 2322, 616, 538, 519, 1034, 9296, 6088, 2511, 269, 1411, 616, 12155, 547, 2744, 5140, 7436, 676, 1739, 519, 19436, 3435, 585, 1565, 4147, 476, 279, 267, 3848, 476, 277, 13174, 269, 1284, 616, 5356, 1806, 14001, 2042, 540, 13174, 676, 799, 596, 666, 1174, 519, 1469, 540, 606, 2626, 269, 1635, 1565, 689, 3648, 13719, 1603, 267, 596, 1847, 513, 1900, 2362, 982, 519, 824, 8284, 2818, 538, 707, 1362, 269, 23048, 26924, 519, 1053, 602, 519, 1543, 568, 8076, 585, 4147, 476, 279, 13174, 3848, 476, 277, 269, 2368, 540, 519, 8037, 2640, 540, 1210, 23048, 2326, 616, 607, 5205, 563, 763, 2956, 540, 19436, 10298, 538, 519, 2875, 781, 1272, 945, 6999, 547, 979, 998, 23048, 11400, 568, 10373, 269, 589, 2875, 16137, 1732, 952, 646, 610, 1352, 814, 519, 1034, 5587, 1881, 1570, 538, 4395, 269, 19436, 10298, 723, 519, 5539, 540, 3246, 2143, 543, 5587, 1881, 4267, 585, 12384, 543, 12384, 24306, 4147, 476, 279, 2055, 269, 898, 786, 948, 873, 4383, 519, 7411, 540, 6061, 1282, 519, 23048, 981, 269, 1411, 723, 547, 2328, 519, 6898, 2687, 547, 23048, 538, 519, 1957, 267, 799, 568, 3015, 998, 513, 9488, 1224, 540, 19436, 10298, 1570, 563, 10998, 12224, 10298, 798, 711, 14207, 593, 2298, 950, 621, 2501, 547, 519, 2104, 540, 513, 2875, 538, 13174, 269, 2353, 519, 1570, 585, 19436, 3435, 585, 4147, 476, 279, 13174, 3848, 476, 277, 11644, 476, 277, 269, 272, 6013, 1369, 519, 1164, 1377, 540, 2298, 269, 634, 4274, 3610, 6108, 741, 10475, 942, 547, 1711, 4543, 1570, 585, 1053, 269, 634, 1543, 568, 5363, 547, 1118, 596, 1174, 519, 2243, 1732, 1247, 4509, 519, 2298, 593, 1283, 269, 4595, 519, 9759, 540, 519, 1469, 568, 1898, 267, 519, 12665, 540, 1565, 2278, 1125, 519, 1570, 676, 4758, 621, 513, 9488, 979, 998, 563, 2005, 3587, 3501, 585, 513, 2875, 950, 646, 4991, 513, 1469, 602, 568, 2653, 547, 27655, 543, 13978, 538, 3965, 585, 513, 1279, 942, 269, 634, 1570, 602, 28174, 656, 340, 2488, 814, 6209, 1344, 1247, 621, 814, 513, 2067, 543, 22510, 2511, 540, 1893, 602, 4229, 621, 547, 1831, 811, 12300, 269, 1879, 596, 27655, 707, 2626, 267, 596, 666, 6060, 2462, 267, 543, 519, 1344, 13978, 547, 23614, 596, 689, 19551, 621, 1586, 269, 2353, 519, 12596, 689, 4147, 476, 279, 13174, 3848, 476, 277, 616, 3362, 12300, 538, 519, 28174, 656, 340, 6035, 1570, 563, 5629, 596, 616, 4712, 547, 2119, 513, 1007, 2707, 540, 1565, 538, 2241, 1893, 267, 1287, 2015, 28174, 656, 340, 269, 1358, 723, 782, 519, 1570, 585, 19436, 10298, 585, 4147, 476, 279, 13174, 3848, 476, 277, 3635, 476, 277, 269, 272, 538, 7300, 1106, 2228, 269, 1411, 666, 2141, 4647, 621, 585, 1863, 269, 1677, 4647, 519, 1863, 1353, 1570, 689, 28174, 656, 340, 267, 596, 1590, 1831, 513, 4759, 540, 519, 3896, 267, 799, 568, 849, 1863, 540, 1942, 269, 4495, 596, 4647, 707, 3758, 267, 596, 666, 1265, 519, 1686, 538, 707, 2272, 3877, 269, 901, 1505, 2337, 596, 2057, 23842, 519, 1482, 3758, 1586, 563, 763, 1570, 568, 711, 3908, 547, 1152, 3848, 476, 277, 585, 4147, 476, 279, 267, 855, 596, 666, 2307, 585, 782, 824, 11271, 267, 607, 1134, 269, 1358, 782, 616, 1863, 547, 4647, 267, 607, 28174, 656, 340, 2306, 513, 3730, 3760, 585, 519, 1053, 269, 1677, 1118, 2386, 596, 3489, 1164, 7436, 538, 11400, 267, 596, 1058, 979, 998, 782, 519, 11271, 3769, 538, 707, 1576, 269, 4595, 596, 666, 4647, 782, 540, 873, 689, 28174, 656, 340, 585, 1863, 267, 519, 1981, 540, 942, 543, 1942, 8709, 8460, 1317, 596, 616, 2542, 1247, 7836, 4642, 2724, 563, 10673, 1405, 1205, 24906, 952, 596, 616, 1869, 11821, 827, 1620, 519, 4806, 540, 519, 1570, 269, 1703, 616, 5528, 543, 8846, 3177, 585, 1863, 585, 3025, 547, 3251, 538, 519, 2095, 540, 1565, 269, 5213, 1405, 3247, 1565, 540, 596, 3068, 23665, 269, 1703, 568, 2141, 513, 1259, 856, 563, 5629, 596, 4584, 909, 519, 15364, 540, 519, 1565, 609, 28174, 656, 340, 267, 707, 1985, 1900, 568, 547, 4647, 519, 7300, 3758, 540, 519, 1570, 827, 12384, 543, 12384, 24306, 4147, 476, 279, 585, 1863, 269, 1635, 1739, 519, 2241, 14292, 5850, 267, 596, 666, 1451, 543, 1174, 519, 4267, 18334, 543, 4443, 269, 1284, 723, 513, 2189, 543, 3593, 7888, 2228, 3760, 689, 1141, 596, 666, 1205, 519, 5551, 6119, 538, 7300, 585, 1863, 269, 634, 8818, 10274, 1169, 3593, 585, 519, 3406, 543, 4203, 2231, 519, 3169, 1239, 563, 2252, 596, 1810, 1405, 1174, 519, 4267, 267, 596, 666, 4647, 519, 5528, 3758, 689, 519, 3896, 267, 607, 1134, 269, 3776, 3610, 723, 5249, 2182, 593, 1603, 519, 4267, 538, 513, 1259, 602, 1053, 17945, 519, 1523, 538, 513, 2582, 1224, 269, 1411, 666, 1451, 1007, 543, 2189, 16097, 1247, 8600, 585, 519, 23048, 981, 269, 1284, 723, 3769, 782, 519, 1883, 15304, 338, 609, 1169, 3635, 865, 602, 519, 1053, 666, 10536, 1394, 782, 519, 14406, 4834, 563, 309, 539, 656, 340, 568, 606, 2626, 547, 519, 7965, 596, 616, 6849, 609, 1565, 519, 3435, 269, 3509, 4128, 1118, 28174, 656, 340, 2027, 267, 1519, 7366, 540, 3610, 7700, 547, 1818, 519, 1272, 540, 513, 2875, 811, 3015, 676, 14291, 519, 4267, 883, 519, 19775, 1106, 543, 519, 8242, 1377, 540, 13120, 609, 2029, 269, 1284, 1118, 1565, 811, 3078, 543, 17615, 676, 7598, 2413, 2645, 543, 2409, 563, 2791, 666, 1569, 28174, 656, 340, 689, 707, 16335, 998, 606, 813, 676, 799, 596, 616, 1175, 513, 7148, 2476, 689, 519, 1034, 3551, 1565, 3760, 269, 3414, 519, 813, 20478, 267, 596, 1205, 782, 519, 10311, 827, 12600, 2326, 689, 19436, 269, 28174, 656, 340, 8309, 547, 3246, 2413, 1565, 2035, 267, 5587, 1881, 1353, 2326, 267, 1863, 2228, 5049, 267, 4901, 2516, 267, 543, 1082, 811, 563, 309, 539, 656, 340, 568, 513, 1259, 2509, 5100, 1145, 269, 1635, 1373, 513, 851, 540, 519, 4901, 8468, 267, 596, 666, 6218, 707, 1565, 21842, 543, 1118, 1353, 14609, 625, 2228, 269, 1411, 666, 2307, 707, 8284, 1053, 827, 513, 1808, 1966, 596, 616, 6849, 538, 4147, 476, 279, 13174, 3848, 476, 277, 543, 1265, 4267, 689, 824, 1053, 782, 936, 519, 1158, 563, 18704, 707, 3346, 1344, 454, 2304, 4081, 5646, 8688, 528, 786, 581, 10912, 596, 585, 519, 21533, 540, 707, 1433, 532, 269, 0, 27908, 687, 540, 4892, 1491, 5061, 547, 14867, 4430, 7181, 3679, 269, 15742, 8192, 9360, 849, 666, 1489, 7067, 540, 606, 28332, 7181, 267, 1818, 621, 1447, 6213, 547, 922, 1378, 3679, 269, 11660, 563, 3519, 3685, 958, 267, 3679, 17406, 568, 2219, 547, 581, 3361, 676, 7050, 5666, 540, 3679, 538, 707, 7181, 267, 799, 568, 1946, 3679, 1532, 24286, 269, 9105, 707, 4387, 610, 14278, 626, 547, 2689, 20231, 519, 6527, 543, 563, 24791, 645, 1321, 4347, 11351, 538, 24771, 20661, 12192, 645, 1321, 10638, 568, 811, 1455, 1851, 4587, 4079, 1813, 547, 8519, 7181, 3679, 2504, 269, 2657, 779, 8433, 540, 26678, 4675, 6123, 269, 20661, 936, 519, 2085, 563, 2252, 1018, 3123, 3679, 17406, 729, 1932, 1454, 7181, 3679, 267, 1287, 649, 9364, 723, 1044, 269, 589, 8652, 18608, 545, 3679, 7110, 568, 835, 540, 519, 1655, 2081, 547, 1521, 3679, 17406, 563, 2691, 2810, 20249, 998, 2732, 610, 9360, 922, 1655, 547, 798, 621, 7930, 267, 865, 607, 711, 547, 22652, 2589, 1848, 4676, 12999, 4676, 12999, 630, 10193, 1634, 607, 12884, 268, 3996, 23569, 17406, 2068, 630, 294, 16704, 4297, 568, 513, 2783, 563, 663, 568, 1031, 538, 9360, 269, 12192, 645, 1321, 568, 7923, 547, 3940, 6675, 538, 1426, 543, 666, 1152, 581, 12842, 676, 519, 1560, 1310, 1373, 8237, 689, 519, 3940, 676, 8652, 18608, 545, 3679, 538, 519, 7181, 269, 769, 1931, 563, 29587, 14315, 568, 3361, 676, 7181, 7408, 968, 3724, 532, 909, 892, 883, 519, 24647, 630, 25988, 10612, 1040, 540, 519, 2551, 538, 3345, 3013, 267, 538, 5824, 3013, 621, 568, 849, 607, 1164, 607, 476, 2537, 10065, 803, 1018, 594, 1589, 827, 2921, 620, 4141, 2357, 320, 9360, 610, 6704, 519, 10433, 563, 288, 11376, 730, 7181, 3335, 4523, 950, 519, 9667, 1062, 814, 269, 3680, 2921, 811, 982, 476, 1704 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 290, 8500, 1695, 7541, 9503, 2817, 5244, 2882, 513, 3309, 24463, 540, 2067, 10664, 2010, 7258, 1585, 1480, 31465, 2244, 3096, 269, 634, 6288, 779, 2067, 10664, 568, 7768, 5097, 540, 6404, 2173, 525, 4451, 6776, 4104, 630, 32191, 476, 3199, 15992, 799, 568, 6353, 676, 513, 3099, 540, 28301, 3529, 2249, 3395, 538, 2175, 602, 616, 9444, 1932, 6632, 6862, 1932, 3819, 563, 763, 18073, 3620, 1157, 800, 7681, 568, 519, 1034, 7839, 282, 1866, 1331, 25308, 27984, 752, 267, 18073, 1532, 2465, 577, 2173, 18393, 267, 25308, 1606, 26338, 600, 648, 267, 12566, 17898, 16078, 267, 543, 646, 6447, 1442, 1532, 2465, 577, 12205, 269, 11153, 1804, 10859, 9762, 27631, 8778, 338, 540, 4104, 2611, 267, 855, 1034, 4104, 539, 2127, 616, 8185, 27929, 563, 1103, 1562, 11825, 539, 1851, 891, 7733, 616, 824, 2067, 9249, 267, 1519, 4587, 2361, 9249, 538, 1585, 5933, 540, 19588, 267, 6632, 803, 27595, 267, 543, 824, 26868, 9249, 269, 3958, 267, 513, 3099, 540, 2919, 3338, 267, 1519, 10821, 2127, 267, 17075, 6030, 267, 20744, 2127, 267, 543, 824, 28180, 3338, 2291, 1369, 6288, 6302, 269, 16581, 2534, 267, 2899, 7839, 267, 5170, 693, 1970, 2157, 1369, 519, 6288, 563, 6624, 1114, 2030, 2249, 616, 2111, 547, 7639, 538, 519, 6288, 779, 3309, 9249, 269, 589, 3802, 1498, 1022, 2361, 610, 4104, 2488, 8436, 609, 519, 4316, 547, 1294, 1082, 540, 519, 6288, 779, 476, 280, 6246, 2030, 2249, 269, 769, 519, 5614, 267, 1973, 10174, 543, 5614, 5898, 24120, 519, 4104, 6989, 267, 1247, 3735, 4832, 6763, 540, 11344, 16967, 543, 13617, 980, 1899, 519, 9897, 609, 4154, 269, 634, 6288, 779, 3309, 9249, 1489, 476, 2641, 1533, 2000, 13554, 4686, 2030, 2249, 267, 1519, 6822, 2471, 267, 21823, 267, 3552, 25154, 267, 19211, 267, 543, 835, 3529, 2249, 563, 2750, 5328, 7233, 5004, 454, 301, 22022, 476, 736, 2600, 540, 519, 6288, 779, 2030, 2249, 616, 16678, 630, 2254, 5065, 547, 519, 1858, 1040, 901, 1164, 6871, 568, 538, 851, 1813, 547, 519, 32618, 1686, 540, 1480, 27327, 540, 519, 595, 8500, 1695, 7541, 9503, 5251, 269, 590, 4869, 8696, 540, 891, 2249, 616, 2808, 12362, 267, 30286, 513, 1713, 3463, 547, 5065, 2030, 2950, 269, 6258, 811, 827, 519, 12362, 2030, 2249, 538, 519, 6288, 563, 10144, 540, 782, 6502, 4217, 519, 6288, 538, 9427, 16678, 267, 12362, 2030, 28383, 269, 16731, 938, 21816, 17621, 2985, 585, 811, 1344, 827, 4543, 856, 563, 1103, 519, 5614, 5503, 267, 519, 6288, 779, 7733, 2097, 9800, 609, 3134, 31906, 531, 630, 26211, 24331, 264, 3552, 25154, 267, 2523, 538, 5848, 2127, 2282, 524, 872, 802, 563, 11854, 2886, 5900, 25572, 26479, 454, 30999, 584, 5270, 2418, 616, 3989, 2630, 269, 2290, 610, 811, 12769, 584, 5270, 16193, 949, 581, 2404, 609, 1142, 12769, 584, 5270, 1871, 563, 303, 6974, 281, 15661, 4386, 538, 6288, 282, 1699, 267, 6325, 2963, 2139, 563, 23536, 2406, 10558, 281, 4400, 6015, 2249, 4386, 538, 6288, 855, 1699, 267, 20240, 2963, 2877, 563, 4462, 20813, 3305, 539, 281, 15661, 568, 11911, 547, 6288, 855, 2963, 568, 4617, 610, 15534, 563, 8253, 769, 5244, 281, 15661, 568, 711, 1634, 547, 2049, 538, 6288, 563, 3849, 329, 8809, 281, 15661, 568, 1634, 547, 2049, 538, 2127, 2282, 547, 610, 733, 27631, 609, 6288, 6302, 563, 16178, 7797, 281, 15661, 729, 4080, 547, 2049, 1369, 519, 6288, 267, 855, 1699, 2963, 6920, 519, 1867, 729, 1759, 593, 3765, 1211, 2305, 267, 513, 3454, 21978, 1523, 1100, 3476, 7608, 267, 610, 824, 2147, 1966, 540, 5470, 610, 7664, 563, 23208, 281, 15661, 262, 3140, 12136, 538, 6288, 568, 13006, 269, 2667, 11220, 1759, 593, 10385, 607, 10353, 547, 8990, 1759, 593, 2085, 540, 519, 1034, 2487, 2963, 563, 2304, 7769, 281, 2904, 581, 2938, 3232, 267, 538, 5078, 7226, 543, 4005, 267, 543, 18886, 538, 5266, 1804, 2338, 563, 5522, 1218, 281, 14066, 1297, 540, 2043, 282, 2647, 8733, 17931, 610, 9648, 538, 9249, 8720, 513, 1804, 6712, 540, 519, 6288, 563, 2304, 7769, 281, 2904, 581, 2938, 3232, 267, 538, 5078, 7226, 543, 4005, 267, 855, 711, 538, 1804, 2338, 563, 5522, 1218, 281, 14066, 2338, 540, 2043, 3589, 2406, 9648, 538, 4122, 11402, 9249, 855, 711, 1346, 8720, 513, 1804, 6712, 540, 519, 6288, 563, 2304, 7769, 281, 6145, 569, 547, 581, 2938, 10865, 538, 3617, 7226, 543, 4005, 269, 2904, 581, 12725, 1455, 563, 5522, 1218, 281, 23225, 547, 9793, 2338, 540, 2043, 282, 9648, 2901, 26742, 611, 1227, 538, 4122, 11402, 9249, 610, 538, 16613, 9249, 563, 2304, 7769, 281, 10558, 267, 855, 2356, 2938, 1152, 513, 1906, 2053, 1142, 1032, 563, 5522, 1218, 281, 23225, 2043, 267, 2356, 11658, 547, 1507, 2127, 540, 4686, 7226, 563, 2304, 7769, 281, 12769, 2720, 538, 519, 6288, 693, 2547, 2899, 1169, 1906, 1296, 267, 8795, 538, 2338, 267, 855, 711, 8209, 1169, 1032, 563, 5522, 1218, 281, 2806, 1495, 766, 4756, 689, 1032, 547, 1032, 630, 324, 3052, 1421, 9390, 2371, 1916, 4462, 4385, 281, 2806, 1495, 766, 7164, 454, 30943, 281, 15661, 6923, 4386, 538, 6288, 610, 3148, 563, 15239, 28921, 281, 15661, 4386, 593, 6288, 3338, 607, 513, 1267, 540, 20982, 610, 23139, 1480, 2238, 563, 4462, 4385, 281, 14844, 4369, 4567, 568, 7164, 610, 24813, 563, 763, 6744, 4289, 3568, 1152, 1346, 2249, 602, 616, 11280, 607, 834, 30005, 257, 610, 834, 22238, 2406, 1459, 257, 538, 519, 6288, 563, 763, 9509, 5903, 2882, 782, 519, 24920, 2249, 538, 1840, 547, 2249, 602, 616, 14955, 325, 3305, 539, 267, 13840, 9571, 267, 610, 27235, 4080, 607, 1373, 1336, 538, 519, 6288, 269, 634, 2407, 1592, 849, 3568, 2249, 602, 616, 834, 514, 2689, 257, 1317, 741, 4567, 538, 519, 6288, 18387, 1405, 1044, 4628, 5462, 269, 16952, 3877, 827, 519, 4567, 540, 1142, 2249, 568, 3769, 538, 519, 2407, 1592, 563, 763, 24920, 786, 3592, 2141, 2270, 7864, 2249, 982, 519, 2407, 1592, 269, 0, 24309, 676, 7395, 27932, 454, 13202, 476, 1428, 476, 1708, 272, 454, 12626, 4544, 10428, 267, 849, 1572, 5754, 659, 12764, 32403, 1875, 1606, 5296, 320, 267, 5871, 9791, 10428, 267, 568, 513, 2186, 540, 21064, 15941, 748, 2030, 540, 519, 12593, 2296, 4544, 10428, 538, 519, 607, 1706, 698, 19687, 269, 898, 568, 7856, 538, 519, 9533, 3148, 689, 22070, 8050, 547, 519, 3703, 1772, 956, 269, 898, 568, 513, 1455, 4677, 2030, 538, 519, 4639, 269, 769, 519, 5614, 267, 2296, 9791, 10428, 7472, 513, 19619, 540, 1507, 11350, 11057, 5810, 609, 519, 32709, 540, 4544, 543, 13711, 269, 769, 922, 5065, 1747, 267, 519, 4773, 540, 2296, 9791, 10428, 15827, 513, 4190, 13795, 540, 4544, 543, 13711, 563, 12626, 4544, 10428, 630, 20812, 659, 12764, 32403, 1875, 1606, 5296, 320, 264, 568, 513, 21064, 15941, 269, 674, 956, 1506, 27003, 11710, 616, 476, 1015, 268, 1789, 4699, 1279, 267, 9133, 20805, 592, 748, 563, 8867, 2314, 616, 21828, 267, 7522, 569, 561, 766, 25544, 267, 4158, 3039, 267, 476, 278, 268, 1626, 6515, 2647, 267, 476, 3393, 4699, 1279, 563, 305, 864, 6996, 616, 12363, 267, 20805, 592, 748, 547, 835, 1439, 267, 12946, 476, 276, 268, 1321, 1166, 648, 1206, 630, 11484, 31531, 476, 274, 268, 3953, 5148, 26540, 616, 3786, 534, 3634, 267, 476, 1691, 268, 736, 6515, 1279, 267, 536, 847, 338, 476, 273, 282, 7005, 4544, 10428, 814, 476, 277, 751, 335, 1023, 609, 17208, 9133, 267, 642, 14489, 15918, 826, 610, 3043, 267, 10355, 11909, 267, 16245, 693, 1101, 267, 20805, 592, 748, 547, 835, 2427, 950, 1930, 282, 634, 476, 274, 26176, 839, 540, 519, 9018, 8868, 616, 811, 982, 476, 4037, 260, 540, 3259, 8087, 609, 519, 829, 1014, 628, 267, 609, 5835, 880, 606, 750, 338, 693, 519, 1283, 282, 26540, 723, 2178, 6653, 32709, 454, 12626, 4544, 10428, 568, 28480, 689, 4989, 547, 2904, 563, 5353, 2644, 616, 3109, 267, 10351, 3729, 593, 519, 3037, 2627, 563, 12626, 4544, 10428, 630, 20812, 659, 12764, 32403, 1875, 1606, 5296, 320, 264, 568, 23816, 540, 10690, 543, 5594, 15755, 3037, 267, 543, 568, 23816, 540, 12094, 855, 711, 11259, 547, 7943, 269, 4475, 267, 18932, 28301, 4104, 568, 922, 1292, 3892, 1858, 269, 5221, 922, 5394, 6978, 4494, 568, 10375, 585, 1762, 15620, 547, 23309, 7184, 267, 543, 519, 12094, 540, 4054, 538, 4832, 666, 3625, 519, 7943, 269, 4475, 267, 2296, 4544, 10428, 568, 849, 9833, 607, 519, 3090, 540, 519, 3504, 4104, 267, 543, 568, 1572, 519, 4104, 4544, 10428, 563, 12626, 9791, 10428, 781, 5072, 616, 4579, 633, 543, 666, 581, 26438, 547, 7485, 519, 15941, 883, 513, 4514, 267, 811, 5848, 3037, 4494, 909, 547, 513, 3178, 540, 476, 1015, 268, 1321, 9492, 269, 901, 949, 849, 2491, 1946, 972, 568, 1100, 2296, 4544, 10428, 538, 519, 4057, 25879, 344, 11934, 540, 519, 5045, 3887, 770, 540, 4789, 267, 1317, 15941, 748, 5072, 3112, 23309, 2620, 883, 519, 3037, 563, 763, 2038, 6679, 540, 2296, 9791, 10428, 630, 20812, 659, 12764, 32403, 1875, 1606, 5296, 320, 264, 568, 1776, 12576, 602, 519, 2242, 4547, 676, 2916, 1689, 666, 581, 2938, 538, 519, 6371, 543, 4054, 1472, 721, 269, 5457, 267, 7005, 4544, 10428, 338, 616, 3226, 11630, 547, 18633, 15496, 5712, 1317, 789, 991, 547, 1332, 856, 609, 519, 3762, 16841, 585, 12094, 269, 1403, 519, 2296, 4544, 10428, 18742, 2038, 267, 621, 786, 23366, 5884, 1354, 14947, 568, 7856, 563, 12626, 4544, 10428, 338, 630, 20812, 659, 12764, 32403, 1875, 1606, 5296, 320, 264, 616, 1336, 538, 519, 7262, 851, 540, 9533, 2342, 267, 689, 22070, 8050, 630, 16838, 22070, 17577, 264, 547, 519, 13814, 543, 519, 3703, 1772, 956, 269, 898, 666, 581, 1336, 538, 19934, 267, 4789, 267, 5333, 267, 8581, 267, 519, 13814, 543, 8050, 269, 11531, 267, 2296, 4544, 10428, 338, 723, 1044, 5950, 883, 519, 3552, 538, 5125, 267, 7977, 543, 27597, 269, 898, 814, 849, 1044, 5189, 547, 519, 7414, 19566, 540, 3345, 3013, 630, 23873, 12052, 267, 6115, 267, 543, 14822, 264, 543, 519, 29036, 2136, 2276, 630, 309, 597, 6265, 807, 267, 17996, 267, 18518, 267, 11882, 267, 12425, 267, 543, 1715, 3840, 1916, 12626, 4544, 10428, 338, 630, 20812, 659, 12764, 32403, 1875, 1606, 5296, 320, 264, 568, 513, 4922, 6738, 4677, 2030, 538, 519, 7262, 1158, 269, 898, 568, 1031, 607, 513, 4190, 8768, 538, 519, 4104, 610, 6371, 12966, 269, 1358, 16036, 538, 519, 1482, 1974, 607, 1728, 659, 514, 2195, 267, 546, 3530, 617, 2812, 267, 543, 930, 32482, 2354, 269, 4913, 267, 1317, 789, 16196, 543, 3262, 3533, 267, 789, 991, 547, 581, 6417, 609, 519, 1482, 1416, 607, 18047, 269, 898, 568, 1634, 607, 6628, 781, 1034, 2442, 8768, 563, 8469, 545, 1400, 1871, 281, 2296, 9791, 10428, 3568, 1082, 3114, 5820, 609, 1761, 16392, 1871, 267, 1519, 693, 2547, 476, 1428, 6915, 5562, 7135, 269, 2368, 540, 519, 21555, 910, 1216, 30320, 30175, 6950, 910, 616, 2147, 547, 7135, 602, 723, 1044, 3254, 547, 4339, 7486, 543, 2860, 269, 634, 15941, 540, 9791, 10428, 568, 1031, 538, 12563, 4915, 547, 1521, 682, 1075, 27695, 543, 814, 1019, 675, 6776, 543, 646, 2865, 1738, 2360, 269, 1656, 922, 10433, 568, 1031, 607, 513, 536, 5407, 563, 306, 614, 16478, 281, 2991, 649, 4309, 2296, 9791, 10428, 9544, 11084, 267, 519, 1101, 3364, 649, 991, 547, 798, 568, 547, 2932, 771, 26529, 269, 634, 1808, 1505, 568, 547, 27653, 16087, 754, 1794, 574, 538, 513, 476, 1911, 271, 2053, 3070, 585, 827, 476, 1789, 3764, 269, 1403, 9044, 5526, 538, 707, 2296, 9791, 10428, 26005, 1282, 4859, 267, 621, 568, 1655, 547, 16616, 873, 547, 519, 3141, 543, 1287, 27653, 873, 538, 16087, 754, 1794, 574, 3070, 476, 1911, 271, 2053, 563, 3383, 559, 281, 3442, 513, 811, 3617, 2450, 8768, 13607, 267, 883, 519, 3037, 267, 519, 1655, 3903, 540, 15417, 3037, 267, 1732, 2011, 27978, 2890, 14092, 573, 3037, 267, 8768, 19437, 1058, 581, 3617, 269, 1280, 1494, 1540, 2371, 267, 2030, 1614, 547, 2947, 11084, 538, 513, 1494, 827, 476, 1428, 17744, 538, 8006, 543, 3382, 519, 3037, 609, 7466, 519, 11098, 540, 519, 11084, 563, 2691, 621, 568, 1175, 12630, 267, 621, 568, 1655, 547, 1294, 3819, 543, 6632, 269, 2311, 1101, 267, 621, 666, 581, 530, 23926, 8499, 269, 769, 519, 2663, 3942, 267, 621, 568, 2556, 547, 1852, 519, 2179, 540, 14450 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6826, 523, 1934, 286, 15580, 898, 2336, 1805, 8834, 779, 24130, 1107, 5783, 540, 13039, 454, 11693, 922, 11606, 540, 13039, 267, 540, 782, 7479, 28913, 267, 1520, 11253, 728, 568, 4749, 5219, 547, 607, 519, 4975, 540, 932, 11699, 269, 853, 8834, 779, 24130, 267, 513, 19506, 593, 519, 2749, 779, 5087, 2427, 267, 568, 519, 1034, 20498, 540, 782, 891, 13039, 543, 814, 24903, 519, 29659, 1686, 563, 763, 29842, 534, 6423, 540, 1520, 11253, 728, 729, 27648, 538, 4873, 476, 7277, 278, 543, 513, 9886, 540, 2244, 729, 16172, 27502, 2016, 676, 519, 17135, 585, 519, 5301, 540, 2679, 513, 26720, 269, 769, 476, 6977, 276, 519, 10966, 5480, 4371, 602, 519, 2244, 9886, 630, 1993, 1857, 2244, 264, 729, 3564, 519, 1379, 540, 519, 17135, 547, 9886, 543, 607, 971, 621, 729, 23380, 865, 4070, 1223, 711, 8399, 563, 289, 12360, 10374, 267, 519, 1101, 24649, 540, 1520, 11253, 728, 267, 12349, 1175, 936, 606, 23505, 540, 2244, 267, 693, 519, 7944, 540, 3751, 5261, 10003, 543, 6755, 940, 2023, 6833, 15869, 267, 3345, 1520, 11253, 728, 538, 476, 6642, 277, 269, 623, 19991, 22596, 2679, 3459, 267, 538, 476, 5908, 280, 543, 853, 8834, 781, 24130, 729, 13394, 3603, 593, 476, 272, 5130, 476, 6942, 279, 269, 634, 1964, 540, 519, 1699, 562, 1511, 729, 6192, 676, 476, 5002, 272, 269, 634, 20610, 941, 6192, 538, 476, 5002, 273, 543, 634, 15248, 30989, 729, 6192, 538, 476, 5002, 275, 269, 634, 2063, 3296, 547, 581, 6192, 729, 519, 4395, 3268, 538, 476, 4489, 272, 269, 634, 4395, 540, 519, 2679, 568, 5156, 547, 723, 1044, 1110, 8215, 593, 519, 4395, 540, 519, 5783, 540, 853, 14639, 5174, 2194, 1047, 632, 5617, 4582, 4068, 538, 8303, 799, 3294, 814, 1082, 10486, 609, 3502, 516, 667, 877, 632, 8303, 269, 1323, 4277, 3182, 3645, 1686, 540, 519, 26720, 779, 4070, 666, 581, 2938, 538, 519, 8574, 547, 519, 7187, 2427, 540, 519, 26554, 331, 563, 4407, 1082, 540, 519, 9486, 941, 1500, 538, 4789, 267, 1079, 540, 519, 9998, 9486, 267, 519, 14986, 32001, 538, 519, 9456, 3774, 543, 519, 6885, 540, 11977, 519, 4762, 612, 528, 941, 1500, 538, 1520, 11253, 728, 269, 634, 2539, 9486, 538, 519, 715, 1511, 6813, 20334, 547, 519, 2296, 5783, 689, 2038, 2053, 909, 547, 476, 866, 628, 2540, 12004, 344, 3464, 563, 28926, 2287, 3108, 2433, 12507, 1107, 9045, 476, 280, 281, 1789, 600, 910, 476, 275, 281, 876, 10975, 267, 543, 6129, 1063, 2533, 543, 476, 1321, 29869, 910, 476, 275, 281, 876, 10975, 454, 20236, 3391, 4663, 676, 1863, 27412, 2139, 538, 513, 1297, 540, 4654, 1107, 1118, 2386, 596, 4584, 835, 909, 693, 519, 1394, 540, 519, 5939, 593, 7127, 621, 3568, 513, 6266, 540, 1434, 1344, 543, 2798, 596, 547, 1919, 899, 513, 4062, 540, 31689, 30745, 630, 26780, 264, 544, 21863, 799, 596, 1131, 6382, 1034, 2693, 4413, 563, 10817, 3660, 570, 2293, 11205, 476, 1556, 281, 876, 600, 267, 543, 6129, 476, 1321, 281, 1789, 10975, 282, 19150, 1491, 827, 476, 3393, 3764, 563, 4306, 269, 27946, 2207, 24202, 595, 26059, 3633, 305, 3201, 454, 1805, 269, 8834, 781, 24130, 267, 594, 1589, 568, 519, 1034, 4190, 538, 1520, 11253, 728, 563, 763, 4566, 585, 519, 2679, 540, 519, 24130, 941, 4547, 856, 689, 4789, 676, 519, 476, 272, 560, 21674, 540, 1520, 11253, 728, 267, 31217, 10374, 538, 476, 7277, 279, 563, 763, 24130, 729, 3323, 538, 476, 5908, 280, 543, 519, 1101, 3296, 729, 6192, 543, 8118, 4628, 585, 2533, 538, 476, 6942, 278, 269, 634, 20610, 941, 6192, 538, 476, 5002, 273, 267, 634, 15248, 30989, 538, 476, 5002, 275, 267, 543, 6368, 267, 519, 4395, 3268, 538, 476, 4489, 272, 6192, 519, 2679, 563, 763, 9885, 941, 1930, 585, 8436, 547, 4283, 267, 865, 594, 729, 2111, 547, 1294, 519, 5783, 9486, 602, 941, 1500, 538, 4789, 269, 634, 14986, 32001, 543, 519, 6885, 540, 11977, 519, 4762, 612, 528, 941, 1500, 538, 1520, 11253, 728, 269, 634, 2539, 9486, 538, 519, 715, 1511, 267, 13269, 1004, 945, 723, 538, 741, 2729, 267, 1044, 1713, 538, 930, 1259, 547, 519, 2296, 5783, 689, 2038, 2053, 1318, 909, 547, 476, 866, 628, 2540, 12004, 344, 3464, 563, 763, 21777, 6885, 267, 568, 519, 7395, 30445, 2940, 6885, 267, 14120, 1312, 519, 24446, 543, 519, 960, 540, 2021, 538, 519, 5939, 563, 288, 6978, 2280, 827, 891, 9486, 568, 2139, 593, 519, 6763, 676, 519, 9885, 563, 763, 11308, 18810, 593, 519, 4400, 16816, 541, 6813, 1004, 543, 23109, 945, 723, 1044, 1271, 585, 930, 2601, 547, 519, 1004, 540, 519, 3703, 5783, 543, 568, 4190, 2336, 8008, 2894, 2807, 689, 476, 280, 281, 1789, 600, 547, 476, 275, 281, 876, 10975, 267, 11728, 547, 14349, 543, 9530, 904, 1063, 2533, 543, 476, 1321, 29869, 547, 476, 275, 281, 876, 10975, 563, 763, 24130, 568, 5234, 539, 676, 21969, 1260, 619, 1282, 6679, 3108, 543, 972, 616, 13181, 1433, 7410, 2139, 693, 519, 1394, 540, 519, 24130, 538, 1585, 4654, 547, 1450, 8436, 547, 1491, 513, 1582, 11461, 4663, 563, 763, 24130, 19255, 568, 4092, 11105, 547, 519, 1292, 13675, 269, 2201, 9042, 568, 513, 2039, 540, 25584, 1519, 7131, 19827, 540, 519, 853, 8834, 781, 24130, 932, 7546, 267, 2022, 11568, 543, 824, 6204, 1597, 15077, 676, 799, 596, 666, 3314, 707, 3643, 563, 10403, 2871, 3660, 570, 2293, 616, 4371, 1169, 13723, 693, 476, 1556, 281, 876, 600, 267, 543, 1169, 10732, 693, 476, 1321, 281, 1789, 10975, 282, 19150, 1491, 827, 476, 3393, 3764, 563, 268, 16241, 13488, 454, 268, 20907, 13488, 454, 268, 3883, 1631, 585, 2462, 9806, 2336, 268, 12182, 1564, 2593, 4934, 9227, 3903, 540, 20730, 782, 936, 519, 1158, 693, 9735, 5777, 563, 268, 16440, 2724, 267, 3883, 1631, 2336, 268, 3883, 532, 2593, 20056, 550, 3903, 267, 8899, 3928, 454, 3849, 11253, 728, 13488, 6651, 454, 18439, 519, 2622, 454, 268, 2136, 2276, 540, 3013, 454, 268, 623, 778, 3405, 6062, 12182, 1564, 454, 268, 25844, 601, 8386, 7308, 4149, 20660, 12182, 1564, 454, 268, 918, 783, 320, 700, 2794, 584, 454, 268, 667, 698, 3333, 2967, 12182, 1564, 454, 268, 21960, 577, 7345, 12182, 1564, 0, 11045, 1833, 540, 606, 3750, 568, 513, 32436, 9542, 676, 513, 1268, 781, 2634, 547, 9004, 519, 2589, 540, 4713, 540, 10822, 22811, 5075, 971, 607, 2269, 321, 1143, 639, 267, 19427, 1202, 340, 11797, 543, 606, 1047, 1731, 8205, 269, 634, 2634, 666, 9004, 5595, 5075, 676, 24937, 519, 2592, 540, 835, 540, 519, 4064, 269, 901, 666, 1291, 547, 19264, 569, 18701, 563, 11045, 1833, 949, 5701, 609, 5075, 3797, 267, 1498, 972, 568, 513, 2647, 2039, 540, 8369, 593, 1279, 3856, 7145, 1063, 3750, 1416, 4648, 267, 609, 2370, 3621, 2963, 540, 1279, 3856, 6454, 540, 21109, 267, 952, 519, 5817, 2014, 568, 711, 9619, 630, 560, 4599, 1143, 639, 267, 5605, 569, 18701, 267, 3092, 28593, 268, 2961, 28952, 267, 715, 289, 267, 1696, 620, 269, 11916, 30332, 585, 744, 4788, 22410, 269, 5822, 3798, 269, 5062, 3400, 342, 6953, 650, 269, 1715, 3840, 476, 1960, 277, 563, 347, 1607, 2376, 827, 519, 3750, 568, 513, 20839, 269, 1411, 666, 948, 9504, 676, 9750, 621, 269, 347, 0, 305, 4861, 778, 2173, 1690, 518, 590, 1248, 877, 3778, 454, 763, 1920, 1686, 540, 519, 681, 4861, 778, 2173, 1690, 518, 2063, 2012, 568, 9738, 676, 519, 9147, 293, 2167, 2146, 269, 15012, 519, 2146, 676, 4946, 547, 547, 938, 917, 671, 613, 540, 519, 681, 4861, 778, 2173, 1690, 518, 912, 268, 681, 4861, 778, 2173, 1690, 518, 1920, 1686, 454, 268, 681, 4861, 778, 2173, 1690, 518, 2197, 540, 5169, 267, 22874, 267, 1299, 14940, 454, 268, 681, 4861, 778, 2173, 1690, 518, 2063, 2012, 2495, 1299, 29721, 454, 268, 681, 4861, 778, 2173, 1690, 518, 10259, 1299, 12332, 454, 30238, 6337, 593, 9147, 293, 2167, 454, 5591, 835, 689, 519, 6535, 22138, 2173, 1690, 518, 2146, 814, 3838, 6337, 269, 3371, 616, 1007, 6337, 593, 9147, 293, 2167, 912, 305, 4861, 778, 2173, 1690, 518, 13474, 540, 18882, 267, 2817, 640, 267, 1299, 23532, 640, 454, 5591, 835, 814, 11643, 1344, 593, 6535, 22138, 2173, 1690, 518, 2197, 540, 5169, 267, 22874, 267, 610, 14940, 269, 5410, 547, 713, 3296, 454, 5591, 1543, 814, 1044, 11643, 827, 519, 681, 4861, 778, 2173, 1690, 518, 2197, 540, 5169, 269, 634, 1739, 568, 23019, 1344, 827, 681, 4861, 778, 2173, 1690, 518, 269, 1411, 666, 10505, 707, 1344, 676, 14467, 22478, 563, 763, 22874, 540, 681, 4861, 778, 2173, 1690, 518, 949, 581, 7294, 547, 3313, 538, 2665, 799, 6237, 6302, 1689, 936, 942, 267, 1818, 519, 3312, 22874, 513, 9814, 269, 634, 3312, 14940, 540, 681, 4861, 778, 2173, 1690, 518, 949, 581, 2352, 547, 3313, 607, 1267, 540, 2436, 519, 21519, 12090, 1418, 1227, 543, 10446, 538, 1114, 2199, 525, 282, 552, 3052, 269, 538, 519, 2013, 540, 1147, 12849, 602, 616, 1759, 593, 513, 3318, 4123, 267, 799, 666, 2097, 883, 1373, 538, 2789, 2477, 10446, 630, 7945, 607, 519, 1920, 2012, 834, 293, 8718, 257, 799, 729, 2016, 547, 29940, 1916, 305, 4861, 778, 2173, 1690, 518, 12791, 1299, 661, 22029, 454, 5591, 835, 814, 11643, 1344, 593, 6535, 22138, 2173, 1690, 518, 2495, 543, 29721, 269, 5410, 547, 713, 3296, 454, 5591, 1543, 814, 1044, 11643, 827, 519, 2495, 540, 681, 4861, 778, 2173, 1690, 518, 269, 634, 1739, 568, 23019, 1344, 827, 681, 4861, 778, 2173, 1690, 518, 269, 1411, 666, 10505, 707, 1344, 676, 14467, 22478, 563, 763, 2495, 540, 681, 4861, 778, 2173, 1690, 518, 2097, 949, 2097, 689, 513, 4739, 267, 971, 607, 519, 2012, 834, 300, 14525, 257, 799, 5219, 547, 519, 3924, 540, 2324, 538, 513, 1984, 269, 2368, 540, 891, 4739, 2861, 1920, 4408, 1522, 581, 513, 3924, 538, 513, 1114, 1893, 269, 901, 568, 1946, 621, 568, 1434, 547, 1382, 519, 14940, 540, 513, 2012, 267, 543, 519, 4654, 1031, 676, 922, 2038, 11937, 269, 3509, 7262, 4408, 899, 681, 4861, 778, 2173, 1690, 518, 22132, 689, 3909, 5931, 899, 519, 20845, 267, 519, 6426, 267, 519, 13225, 698, 822, 611, 326, 13682, 339, 5953, 267, 543, 865, 8521, 269, 28871, 891, 4408, 9305, 547, 513, 3909, 8360, 971, 607, 834, 5804, 519, 11849, 3529, 8487, 305, 4861, 778, 2173, 1690, 518, 25460, 10586, 1299, 26538, 29938, 454, 5591, 835, 814, 3773, 1344, 593, 6535, 22138, 2173, 1690, 518, 29745, 610, 5731, 9629, 725, 269, 5410, 547, 713, 3296, 454, 5591, 1543, 814, 1044, 11643, 827, 14595, 29745, 540, 681, 4861, 778, 2173, 1690, 518, 269, 634, 1739, 568, 23019, 1344, 827, 681, 4861, 778, 2173, 1690, 518, 269, 1411, 666, 10505, 707, 1344, 676, 14467, 22478, 563, 10932, 532, 4413, 335, 32478, 543, 14595, 29745, 540, 519, 681, 4861, 778, 2173, 1690, 518, 1920, 2012, 616, 1271, 547, 1620, 519, 2009, 8129, 540, 519, 2012, 269, 590, 1248, 1868, 899, 681, 4861, 778, 2173, 1690, 518, 4268, 538, 875, 789, 2811, 1767, 543, 2854, 607, 789, 2951, 2066, 2950, 267, 1920, 8371, 267, 543, 4654, 936, 5481, 269, 769, 519, 2250, 267, 950, 1906, 1004, 6785, 875, 547, 2328, 267, 4408, 971, 607, 681, 4861, 778, 2173, 1690, 518, 941, 1098, 8282, 1759, 593, 741, 12332, 950, 1004, 781, 4408, 941, 6592, 538, 1857, 5638, 269, 901, 1223, 723, 3366, 547, 4413, 335, 32478, 540, 681, 4861, 778, 2173, 1690, 518, 563, 8310, 4408, 2147, 547, 681, 4861, 778, 2173, 1690, 518, 305, 4861, 778, 2979, 5362, 267, 681, 4861, 778, 2173, 879, 577, 267, 681, 4861, 778, 24578, 9807, 267, 681, 4861, 778, 2173, 1731, 331, 267, 681, 4861, 778, 3146, 828, 267, 681, 4861, 778, 1606, 577, 629, 518, 267, 681, 4861, 778, 5576, 17369, 267, 681, 4861, 778, 4149, 10420, 335, 267, 681, 4861, 778, 1606, 577, 2466, 345, 267, 681, 4861, 778, 1606, 3273, 331, 267, 681, 4861, 778, 1606, 577, 6686, 339, 1729, 742, 267, 681, 4861, 778, 1744, 17369, 267, 681, 4861, 778, 4149, 9618, 335, 267, 681, 4861, 778, 19581, 345, 267, 681, 4861, 778, 32734, 1047, 267, 7931, 3724, 267, 7931, 3724, 553, 267, 681, 4861, 611, 267, 681, 4861, 5964, 267, 681, 4861, 611, 558, 19376, 454, 19407, 778, 2173, 1690, 518, 7731, 10326, 454, 5591 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6406, 6796, 267, 519, 2818, 540, 799, 616, 1303, 27434, 609, 519, 3743, 4305, 540, 8876, 593, 519, 2489, 7245, 540, 519, 2197, 267, 1498, 1930, 547, 971, 12075, 267, 945, 8399, 547, 4789, 543, 1780, 519, 1270, 15363, 4255, 267, 1590, 18562, 267, 607, 513, 2489, 4341, 581, 4371, 676, 519, 2296, 5443, 267, 585, 519, 2601, 602, 789, 4865, 14356, 676, 19021, 640, 267, 14356, 676, 909, 32523, 543, 14356, 676, 2069, 602, 1702, 540, 519, 3741, 540, 6554, 267, 519, 6208, 540, 519, 2247, 543, 25525, 540, 1915, 267, 799, 616, 1898, 585, 519, 4305, 543, 519, 4341, 540, 3127, 267, 1373, 513, 3703, 4341, 543, 1022, 824, 4341, 1373, 538, 519, 6381, 540, 519, 2013, 7543, 269, 634, 3159, 543, 519, 3044, 1058, 581, 1305, 676, 1346, 267, 945, 723, 2813, 621, 543, 616, 3743, 585, 621, 1848, 630, 11045, 2211, 547, 30657, 8291, 540, 3127, 267, 4873, 476, 275, 267, 476, 5002, 275, 267, 533, 280, 4391, 454, 5475, 14412, 1107, 3767, 267, 1310, 7115, 519, 4126, 540, 519, 1655, 268, 2145, 550, 6794, 1517, 1221, 269, 898, 729, 12479, 602, 3540, 2533, 1131, 4482, 519, 1655, 15421, 543, 1034, 19579, 543, 11727, 6107, 689, 782, 936, 3127, 269, 1703, 729, 513, 942, 267, 950, 621, 13631, 519, 1655, 15421, 540, 519, 4182, 269, 589, 1804, 1297, 540, 30921, 267, 8030, 267, 7189, 267, 15406, 2026, 543, 824, 4648, 8678, 519, 2533, 269, 2290, 540, 519, 4128, 568, 602, 1631, 476, 2004, 260, 10457, 616, 3144, 883, 519, 2533, 593, 844, 7974, 4493, 609, 17159, 4441, 538, 1931, 547, 2285, 1118, 2230, 585, 14232, 6810, 540, 2486, 269, 1763, 3569, 540, 827, 476, 2004, 260, 9708, 814, 2417, 2144, 10757, 519, 19259, 547, 6443, 2229, 2533, 585, 519, 16805, 6107, 563, 290, 2753, 2533, 1100, 811, 4482, 519, 1655, 12058, 269, 634, 18515, 540, 16805, 543, 5789, 3218, 1190, 31655, 547, 6443, 2229, 2533, 568, 1631, 899, 513, 8429, 20352, 269, 1280, 519, 2063, 1906, 1296, 267, 3586, 2797, 13779, 814, 29809, 519, 19259, 547, 6443, 519, 3540, 2533, 269, 634, 6107, 1265, 519, 960, 5790, 3411, 20814, 267, 1317, 972, 568, 1100, 5191, 547, 798, 1022, 3860, 1568, 269, 898, 814, 2813, 1082, 4050, 1790, 5241, 17531, 13062, 1846, 269, 2598, 514, 1417, 633, 547, 2182, 960, 267, 20519, 543, 5609, 1356, 640, 814, 1629, 7394, 1242, 519, 9237, 543, 2182, 2324, 1004, 269, 634, 8645, 540, 519, 2486, 2901, 16858, 547, 6443, 519, 4357, 5823, 610, 547, 979, 13383, 269, 27565, 1436, 543, 14051, 814, 2016, 513, 5818, 547, 713, 7678, 563, 15152, 3703, 4341, 1107, 1306, 1767, 4505, 267, 968, 2005, 2141, 7138, 1194, 1082, 2462, 342, 12127, 899, 23237, 267, 13153, 25906, 321, 550, 1886, 543, 1082, 824, 4914, 24319, 267, 12077, 875, 18923, 513, 8536, 3703, 594, 5425, 630, 24465, 6406, 6796, 264, 10986, 7307, 547, 4341, 1312, 3703, 3127, 543, 519, 19036, 569, 2829, 609, 513, 5916, 2551, 540, 1134, 936, 476, 4968, 2929, 1282, 519, 1101, 851, 540, 519, 14206, 2540, 269, 15020, 1906, 2829, 5443, 267, 689, 645, 1143, 541, 1188, 547, 31187, 17619, 267, 6065, 1540, 519, 2298, 540, 3703, 4341, 269, 634, 20017, 516, 4222, 540, 594, 5425, 2048, 1492, 5374, 1922, 9347, 685, 543, 519, 31317, 540, 594, 3008, 267, 519, 16918, 3028, 540, 18763, 3127, 267, 1185, 2141, 7283, 1447, 982, 476, 5611, 271, 269, 2060, 602, 20017, 516, 4222, 267, 789, 941, 2111, 547, 11883, 609, 519, 11889, 960, 540, 519, 3768, 22866, 3127, 7561, 543, 3927, 563, 5475, 7115, 267, 3043, 17707, 1107, 1703, 568, 513, 6024, 2333, 538, 1297, 269, 2991, 14412, 267, 519, 3540, 2533, 723, 7930, 6738, 883, 513, 11376, 730, 543, 1283, 5230, 3028, 269, 769, 835, 540, 922, 16918, 3028, 594, 3008, 267, 799, 1185, 20017, 516, 4222, 540, 1152, 476, 4817, 278, 10492, 538, 476, 4198, 271, 267, 568, 1631, 2348, 476, 275, 4391, 278, 630, 553, 593, 476, 272, 269, 272, 269, 1001, 273, 264, 16984, 538, 2990, 269, 634, 1101, 1757, 1275, 540, 713, 8377, 568, 922, 4398, 269, 769, 18763, 3127, 267, 519, 5993, 6981, 538, 594, 3008, 4682, 909, 689, 827, 476, 3451, 538, 476, 3707, 278, 547, 476, 15946, 538, 476, 3422, 276, 543, 547, 476, 8182, 538, 476, 2735, 276, 269, 634, 20017, 516, 4222, 538, 1585, 1296, 568, 2016, 2630, 281, 24121, 1805, 31104, 540, 594, 3008, 1310, 14412, 454, 17413, 8191, 1242, 27974, 516, 4222, 769, 2990, 454, 4198, 272, 476, 11277, 273, 476, 4817, 278, 630, 1103, 11079, 476, 28656, 594, 5425, 994, 3422, 272, 476, 5908, 273, 476, 15094, 273, 630, 1103, 11079, 476, 21497, 594, 5425, 994, 3192, 272, 476, 17168, 274, 476, 22550, 275, 630, 1103, 11079, 476, 6434, 594, 5425, 994, 2735, 272, 476, 3393, 280, 280, 476, 4343, 279, 274, 454, 1960, 272, 476, 276, 3451, 275, 476, 4366, 279, 272, 454, 1001, 273, 268, 476, 277, 1428, 275, 476, 275, 4391, 278, 454, 13126, 281, 6406, 8638, 9796, 8189, 18614, 267, 7797, 540, 1546, 696, 339, 269, 540, 12287, 6773, 563, 2005, 568, 711, 1152, 538, 594, 3008, 267, 855, 519, 1297, 540, 3540, 22063, 814, 2799, 538, 782, 519, 2533, 269, 13163, 322, 6483, 814, 1831, 899, 513, 3043, 17707, 563, 11073, 2492, 540, 713, 2333, 1107, 634, 4232, 1305, 538, 593, 2272, 540, 6024, 2333, 538, 519, 1297, 540, 2229, 5520, 8507, 538, 912, 3849, 2091, 1198, 593, 519, 968, 19324, 2869, 527, 1673, 685, 14585, 1186, 892, 538, 519, 3028, 454, 290, 516, 566, 540, 3606, 1164, 1377, 9708, 547, 13918, 12905, 3260, 687, 2676, 15307, 28344, 618, 18820, 568, 4189, 2476, 1034, 540, 519, 2200, 6383, 676, 519, 6554, 585, 1646, 3785, 563, 16676, 6681, 2333, 693, 7127, 1448, 814, 3366, 547, 24715, 566, 693, 17434, 14199, 1377, 267, 4611, 538, 17140, 2676, 290, 516, 566, 540, 1082, 28971, 11991, 9708, 267, 602, 814, 1360, 2370, 960, 610, 6392, 2676, 17653, 908, 32659, 538, 6348, 16927, 3008, 7896, 1996, 594, 3008, 10492, 585, 1958, 549, 2286, 519, 28933, 540, 824, 2533, 2676, 306, 728, 2000, 1456, 20005, 10492, 267, 3976, 1167, 15758, 17284, 540, 2773, 269, 589, 1804, 1297, 540, 10492, 616, 2141, 972, 538, 519, 20313, 267, 8348, 547, 23179, 519, 1899, 630, 18743, 919, 264, 540, 14761, 609, 642, 6479, 4690, 563, 22117, 532, 547, 4057, 2792, 267, 5918, 6473, 540, 960, 267, 543, 8488, 538, 2962, 543, 3375, 2921, 563, 17730, 2789, 6106, 538, 11889, 15796, 267, 936, 519, 2197, 454, 7628, 3703, 4341, 1107, 4438, 840, 23949, 11163, 2395, 972, 941, 930, 476, 280, 2353, 3127, 2533, 547, 1683, 7850, 812, 12741, 693, 519, 1283, 540, 1585, 10459, 1341, 824, 6348, 594, 5425, 2533, 540, 2489, 626, 2470, 267, 799, 941, 607, 2442, 607, 594, 5425, 729, 269, 4634, 1369, 594, 5425, 267, 5612, 1310, 519, 19684, 267, 519, 10492, 941, 28110, 547, 12492, 1702, 543, 1995, 538, 1808, 2127, 585, 2362, 10467, 267, 1282, 2625, 566, 776, 1974, 543, 27502, 268, 22022, 1296, 540, 3028, 269, 16340, 569, 972, 941, 1614, 1292, 2127, 594, 5425, 630, 297, 644, 2772, 607, 972, 729, 711, 1454, 2604, 540, 15875, 6554, 593, 741, 2324, 264, 610, 4095, 11426, 6796, 630, 553, 789, 2141, 3893, 2022, 902, 538, 2462, 10034, 1040, 4634, 1310, 14412, 267, 585, 930, 942, 267, 972, 729, 711, 1454, 3017, 538, 519, 1514, 4567, 267, 4876, 11144, 267, 3044, 543, 2623, 4806, 540, 594, 3008, 543, 6348, 594, 3008, 1362, 594, 2533, 269, 1717, 2094, 476, 3422, 271, 27477, 267, 7444, 855, 20406, 267, 594, 3008, 814, 1831, 811, 543, 811, 3532, 543, 519, 1152, 2048, 14976, 924, 3028, 685, 896, 6554, 540, 3127, 269, 634, 4159, 676, 594, 5425, 10492, 585, 835, 2186, 540, 960, 2864, 982, 519, 824, 267, 741, 2027, 5679, 871, 543, 19038, 3363, 585, 1880, 1826, 540, 960, 729, 3144, 883, 2272, 585, 14045, 741, 2104, 4876, 269, 4475, 267, 538, 2259, 543, 711, 538, 3069, 267, 519, 594, 5425, 729, 2679, 513, 20017, 516, 540, 12665, 538, 7245, 543, 849, 8716, 2417, 29286, 538, 1880, 2361, 540, 7245, 267, 711, 998, 6101, 2866, 267, 855, 998, 1995, 676, 3257, 2816, 896, 519, 15569, 540, 1346, 267, 2348, 3152, 1995, 269, 630, 299, 298, 808, 3873, 267, 8556, 15249, 607, 28154, 5004, 538, 6554, 267, 5147, 4149, 324, 4697, 267, 476, 2735, 271, 994, 3086, 267, 1310, 7115, 910, 5475, 14412, 267, 519, 991, 540, 29286, 538, 594, 3008, 267, 835, 540, 519, 1034, 3532, 3028, 538, 6554, 540, 3127, 568, 1454, 811, 982, 621, 729, 585, 594, 5425, 269, 1809, 585, 835, 2601, 610, 824, 267, 14669, 568, 519, 7678, 269, 594, 3008, 1281, 711, 723, 1114, 6198, 20017, 637, 269, 4706, 10492, 1847, 689, 835, 6198, 1858, 547, 1776, 269, 2060, 519, 1267, 602, 8894, 1892, 10793, 540, 782, 23194, 267, 855, 4487, 540, 9039, 1107, 1358, 616, 968, 31568, 540, 782, 23194, 267, 855, 4487, 540, 9039, 6100, 634, 1702, 540, 1022, 1880, 1858, 568, 711, 2808, 1271, 585, 741, 13393, 547, 9972, 9708, 269, 9182, 267, 1175, 607, 14761, 4096, 593, 5728, 2456, 585, 1702, 267, 5728, 2456, 4096, 593, 741, 1016, 24002, 543, 2930, 5234, 585, 1702, 543, 1344, 563, 1892, 32559, 3056, 519, 824, 9420, 1107, 3509, 2053, 267, 950, 14761, 616, 547, 581, 15695, 593, 3609, 2152, 267, 8925, 3112, 581, 2322, 4464, 676, 873, 5265, 267, 1317, 789, 267, 2933, 267, 616, 24015, 17399, 656, 827, 519, 1641, 269, 898, 568, 1419, 16957, 602, 538, 2930, 2127, 267, 519, 1062, 540, 10655, 1344, 267, 7421, 1239, 543, 1210, 2413, 10124, 568, 865, 16283, 267, 602, 3609, 5796, 568, 9444, 2687, 547, 942, 6862, 4628, 9921, 323, 269, 4475, 267, 13915, 2161, 602, 971, 513, 2259, 5012, 547, 513, 3510, 267, 1141, 17399, 656, 14761, 616, 1373, 15695, 676, 26483, 17399, 656, 2489, 626, 10492, 269, 634, 2990, 568, 2147, 547, 9420, 3056, 519, 824, 9420, 563, 1892, 1520, 2091, 1198, 540, 2656, 2242, 267, 689, 835, 1826, 540, 2816, 547, 1776, 1107, 634, 2656, 2242, 267, 689, 835, 1826, 540, 2816, 547, 1776, 267, 1118, 519, 1702, 540, 594, 3008, 10492, 21603, 269, 1703, 616, 930, 2182, 2324, 543, 25442, 594, 3008, 10492, 267, 945, 616, 11235, 547, 1451, 519, 5021, 827, 519, 1641, 2339, 540, 741, 2816, 269, 1809, 789, 616, 849, 28653, 1317, 540, 519, 16190, 2242, 689, 835, 6198, 1858, 547, 1776, 269, 634, 1483, 1702, 568, 5833, 676, 13455, 2182, 960, 585, 513, 1279, 1974, 538, 835, 1826, 540, 2816, 267, 799, 6087, 513, 1268, 547, 1020, 17916, 2702, 2877, 585, 519, 5347, 8647, 543, 1646, 540, 602, 1858, 563, 1892, 20520, 540, 811, 9708, 1107, 769, 1931, 547, 4194, 519, 1966, 24715, 566, 267, 972, 519, 2229, 3323, 2870, 811, 543, 811, 9708, 693, 2362, 9344, 269, 1306, 513, 1121, 539, 658, 2962, 267, 519, 6554, 1185, 1016, 1673, 22866, 835, 2816, 865, 1082, 2053, 602, 1082, 9972, 10492, 723, 15991, 1079, 610, 1614, 5662, 540, 960, 513, 1554, 269, 1548, 568, 8338, 267, 513, 1297, 540, 873, 616, 3257, 6009, 267, 799, 729, 4505, 2944, 676, 741, 15118, 12542, 563, 1892, 589, 6370, 1063, 594, 3008, 543, 6348, 594, 3008, 1107, 634, 1650, 1281, 711, 1439, 1934, 1152, 269, 769, 1931, 547, 2057, 24715, 566, 538, 922, 16918, 3028, 267, 1775, 4318, 1421, 594, 3008, 267, 519, 6554, 568, 2870, 1082, 524, 639, 1506, 6009, 538, 1857, 5823, 14078, 267, 799, 616, 812, 2740, 7361, 676, 594, 3008, 10492, 269, 1306, 513, 12343, 267, 513, 6370, 568, 2469, 593, 1063, 594, 3008, 543, 1875, 16927, 3008, 3844, 2533, 543, 849, 1063, 594, 3008, 543, 3557, 6406, 7896, 1175, 547, 1205, 1283, 9708, 538, 519, 1857, 5823, 14078, 269, 2755, 713, 6370, 814, 1831, 1945, 540, 513, 29317, 267, 1100, 835, 21898, 338, 267, 2436, 2533, 616, 8236, 519, 6859, 267, 585, 799, 789, 616, 2813, 563, 1892, 11638, 13109, 540, 891, 17122, 2798, 1107, 1635, 2870, 811, 543, 811, 9708, 693, 519, 1283, 1377, 267, 519, 6554, 814, 2813, 1932, 1082, 2798, 540, 1852, 543, 11558, 269, 11638, 13109, 540, 1932, 1082, 17122, 2798, 814, 2813, 20718, 540, 3252, 543, 22875, 269, 2859, 2367, 267, 1447, 530, 758, 267, 5918, 6473, 540, 3646, 267, 3668, 540, 15569, 543, 1852, 723, 8507, 538, 10539, 543, 13546, 11797, 563, 1892, 27997, 2242 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 634, 8717, 540, 519, 476, 4572, 271, 779, 8694, 609, 519, 16154, 540, 519, 6006, 2344, 799, 5555, 3366, 547, 519, 4279, 12870, 267, 513, 5001, 2804, 4965, 602, 3576, 1747, 6140, 1282, 519, 476, 4350, 271, 779, 269, 898, 568, 538, 713, 2796, 602, 3013, 3459, 547, 2736, 2476, 689, 922, 2250, 543, 2981, 883, 513, 811, 2413, 5736, 269, 2755, 454, 13328, 2782, 594, 729, 6368, 936, 267, 2705, 267, 972, 729, 513, 1007, 3463, 547, 4892, 269, 634, 4250, 540, 12362, 19797, 16431, 3459, 547, 1332, 6385, 538, 519, 2136, 2276, 269, 4004, 1143, 568, 267, 538, 14891, 5784, 267, 513, 15265, 543, 26568, 1259, 547, 1827, 513, 2197, 269, 1306, 519, 2136, 2276, 814, 2141, 1044, 513, 9111, 267, 621, 568, 2653, 547, 1174, 519, 1390, 4250, 540, 519, 1977, 1004, 269, 901, 7839, 9810, 729, 1634, 607, 519, 4414, 2480, 732, 563, 2690, 1383, 267, 808, 10422, 269, 21546, 729, 538, 519, 1184, 540, 1818, 513, 3972, 609, 824, 2462, 4213, 267, 971, 607, 519, 16456, 2872, 267, 547, 5397, 856, 6735, 689, 519, 2344, 269, 17619, 6785, 602, 713, 729, 4636, 543, 1031, 519, 15593, 2006, 14640, 6874, 6412, 2920, 607, 513, 1907, 547, 2322, 513, 3247, 547, 519, 3972, 602, 21546, 729, 3843, 547, 3715, 630, 9610, 268, 16960, 1040, 1677, 948, 2061, 2104, 3972, 338, 689, 1373, 4646, 267, 23413, 11276, 17619, 4646, 519, 13163, 540, 11283, 725, 602, 1131, 8495, 4213, 543, 1867, 547, 17619, 952, 14078, 941, 3257, 4376, 19035, 630, 13893, 268, 13970, 1040, 6271, 3364, 602, 4951, 519, 3356, 13659, 540, 5518, 17619, 729, 1010, 18879, 593, 519, 1894, 1063, 519, 4600, 543, 5411, 540, 4213, 269, 769, 476, 5002, 273, 267, 5111, 476, 9610, 267, 1822, 12425, 5755, 19379, 4682, 454, 6524, 16962, 9411, 519, 16232, 5604, 646, 729, 513, 2829, 2924, 1139, 7163, 543, 950, 519, 3454, 593, 22090, 4486, 729, 5116, 646, 10353, 621, 267, 6031, 968, 763, 1101, 5470, 729, 547, 16153, 621, 676, 519, 9139, 1848, 630, 291, 665, 589, 1040, 1261, 4769, 1406, 899, 519, 11156, 1317, 540, 519, 1249, 602, 621, 1131, 1118, 3844, 2229, 6793, 269, 1879, 519, 9813, 957, 729, 5293, 646, 729, 10353, 547, 621, 543, 1767, 602, 519, 3844, 2229, 1058, 1152, 723, 513, 1305, 540, 1808, 5301, 543, 519, 31629, 5301, 1058, 581, 2451, 547, 519, 2829, 14350, 269, 630, 291, 665, 645, 264, 10318, 1456, 519, 2179, 540, 942, 621, 3217, 547, 581, 513, 12504, 267, 543, 519, 2702, 547, 21569, 1004, 15852, 519, 2229, 729, 1932, 1454, 1379, 547, 16962, 269, 1879, 646, 3357, 883, 5604, 646, 7691, 519, 13766, 585, 811, 3844, 1379, 543, 3576, 811, 6927, 883, 1010, 1378, 3946, 267, 646, 1185, 1831, 513, 10690, 4070, 626, 563, 30051, 1310, 2622, 2782, 476, 272, 1131, 2760, 581, 519, 1482, 269, 5125, 4503, 2622, 2782, 543, 8507, 538, 741, 2197, 4098, 547, 2887, 6306, 6140, 18363, 519, 4346, 269, 5125, 729, 14220, 543, 19849, 21724, 2348, 4503, 519, 2112, 855, 1018, 12936, 873, 519, 1034, 729, 519, 2474, 540, 519, 15521, 540, 12411, 320, 14792, 602, 10032, 5125, 779, 4346, 269, 634, 15521, 540, 12411, 320, 14792, 13684, 1065, 25730, 689, 519, 2112, 6028, 5125, 609, 5458, 22440, 269, 968, 763, 3510, 729, 1500, 8338, 676, 2804, 2042, 2813, 676, 524, 23774, 1782, 2112, 22440, 32586, 11411, 540, 2348, 547, 2628, 1065, 25730, 267, 543, 1164, 13864, 1848, 634, 15521, 540, 12411, 320, 14792, 1767, 602, 5125, 1590, 2628, 1065, 25730, 547, 519, 824, 2477, 799, 2451, 873, 538, 7963, 1317, 5125, 1100, 3476, 1185, 1022, 2724, 543, 621, 5555, 3366, 873, 883, 5409, 8882, 3175, 0, 1103, 476, 3707, 277, 267, 8262, 326, 1231, 2813, 513, 834, 2419, 1618, 268, 2005, 257, 1982, 1063, 4871, 5561, 543, 2199, 4308, 619, 269, 634, 1259, 621, 568, 2944, 568, 602, 18318, 666, 16005, 6455, 547, 8492, 543, 8492, 547, 3382, 519, 5561, 945, 946, 519, 3556, 269, 769, 17111, 267, 5491, 6486, 941, 5189, 538, 519, 4571, 268, 3192, 271, 338, 630, 299, 5803, 267, 476, 1220, 278, 1040, 769, 519, 2038, 454, 6097, 547, 15966, 592, 2917, 630, 1220, 280, 1070, 14104, 814, 3893, 3860, 998, 519, 4473, 540, 694, 2017, 527, 1436, 6472, 799, 814, 3893, 11610, 1175, 1354, 519, 2883, 6433, 269, 3767, 519, 2165, 4564, 513, 6626, 2039, 540, 9988, 543, 2238, 269, 5047, 267, 2048, 21466, 2861, 14104, 685, 3079, 540, 2048, 3333, 20760, 12948, 685, 568, 9053, 676, 930, 8128, 543, 2344, 5171, 269, 634, 2165, 2048, 3333, 20760, 12948, 685, 568, 3006, 16363, 607, 1932, 890, 329, 20753, 547, 21656, 971, 606, 1271, 543, 3573, 851, 540, 519, 2883, 1062, 5103, 519, 4220, 543, 3668, 540, 11413, 3238, 538, 922, 2238, 630, 12396, 289, 267, 476, 1001, 274, 1040, 27603, 267, 5491, 10827, 566, 1063, 1094, 951, 543, 10210, 619, 568, 13401, 538, 513, 2582, 9872, 267, 513, 4871, 267, 799, 25173, 12074, 543, 2488, 12029, 563, 5472, 540, 891, 2175, 616, 4547, 827, 998, 519, 1016, 867, 1588, 540, 513, 11180, 2486, 547, 519, 2344, 269, 9483, 1646, 896, 683, 565, 28515, 16851, 3112, 581, 11180, 1317, 621, 24279, 519, 1857, 12106, 585, 2804, 3354, 267, 3854, 267, 543, 519, 6650, 2510, 540, 20656, 269, 22640, 3976, 19380, 5905, 609, 519, 2324, 1362, 630, 528, 2539, 14227, 22204, 540, 519, 2551, 28931, 320, 7372, 851, 540, 922, 14218, 1890, 1765, 13678, 2952, 1317, 621, 568, 8572, 547, 7119, 538, 519, 3756, 540, 519, 2344, 269, 15706, 543, 2950, 1287, 6336, 6392, 543, 11180, 1852, 936, 2152, 899, 5117, 4027, 267, 1857, 2069, 1949, 267, 10519, 543, 8027, 4031, 267, 2067, 4199, 10868, 267, 543, 16108, 1894, 267, 782, 1317, 2804, 1646, 3922, 3278, 519, 7569, 540, 519, 2344, 936, 18523, 2115, 543, 11180, 2298, 269, 634, 1267, 267, 568, 1018, 713, 1957, 14439, 607, 29660, 24683, 31097, 267, 610, 2829, 602, 2226, 11180, 6608, 607, 513, 2527, 4159, 267, 3079, 540, 11180, 1949, 9141, 676, 519, 1004, 267, 585, 519, 1004, 267, 689, 454, 7212, 519, 27308, 729, 3222, 540, 922, 28919, 538, 713, 2361, 267, 2943, 621, 729, 2324, 609, 519, 11038, 7896, 16958, 543, 519, 7813, 540, 4789, 547, 7753, 922, 12755, 269, 4427, 2425, 550, 547, 3084, 1436, 267, 519, 4195, 2359, 540, 8832, 9412, 1336, 602, 789, 1185, 23699, 818, 516, 1513, 593, 519, 20251, 1433, 4505, 982, 824, 32225, 269, 1924, 519, 2773, 540, 519, 4871, 6743, 1732, 982, 519, 4641, 269, 7577, 779, 2912, 6002, 1185, 19451, 569, 14406, 891, 896, 8063, 906, 1354, 269, 4746, 267, 519, 536, 1342, 619, 1705, 711, 8275, 891, 896, 8063, 906, 543, 950, 538, 2904, 476, 1220, 279, 267, 519, 3854, 1944, 3609, 729, 4957, 267, 972, 729, 513, 1713, 2333, 538, 519, 4080, 2557, 540, 818, 516, 1513, 563, 3719, 19890, 7108, 2006, 590, 778, 338, 8959, 547, 1265, 519, 1909, 540, 6754, 5459, 269, 1924, 519, 5386, 729, 519, 13766, 269, 19227, 824, 2883, 32112, 786, 849, 798, 1482, 1919, 269, 1656, 621, 786, 1291, 547, 519, 1007, 6433, 269, 898, 568, 5539, 540, 1142, 543, 1169, 2883, 9872, 547, 798, 513, 10279, 538, 1719, 540, 922, 7817, 563, 763, 10020, 540, 22418, 1763, 12883, 538, 26271, 531, 15944, 30914, 476, 272, 269, 4985, 634, 1557, 11394, 547, 2491, 519, 1599, 602, 6666, 14425, 1404, 538, 519, 27847, 15395, 12948, 1062, 269, 5565, 2010, 540, 8492, 7500, 538, 713, 12948, 1062, 267, 13075, 9806, 8492, 543, 4357, 5010, 8492, 267, 1312, 8492, 616, 2189, 538, 513, 2631, 540, 741, 2702, 547, 1711, 2724, 269, 901, 2702, 568, 6045, 602, 267, 891, 8492, 1832, 6824, 540, 741, 14222, 12074, 20824, 607, 6666, 538, 14425, 1996, 891, 12074, 538, 519, 1184, 540, 3246, 12029, 543, 7836, 269, 634, 1445, 540, 519, 1557, 786, 581, 593, 5010, 8492, 267, 607, 789, 723, 3773, 9642, 2702, 540, 2724, 5137, 609, 922, 1378, 7963, 563, 305, 7342, 2212, 281, 11550, 307, 4488, 3582, 26113, 17649, 312, 476, 272, 1215, 2817, 9483, 10466, 1143, 29452, 2817, 19004, 12618, 962, 7795, 7699, 9149, 853, 3415, 15588, 2160, 17593, 6206, 1913, 281, 2804, 4027, 1143, 267, 2804, 2208, 267, 2591, 267, 7443, 267, 1863, 4123, 4985, 634, 2856, 540, 14051, 814, 1044, 4922, 7550, 676, 519, 5354, 540, 2829, 23712, 547, 5838, 2298, 2472, 693, 10097, 5777, 269, 634, 2647, 5859, 585, 1930, 6990, 543, 2799, 1894, 568, 585, 519, 6654, 4128, 1519, 29286, 543, 2799, 7607, 267, 519, 5137, 540, 2298, 21113, 543, 5647, 267, 543, 519, 8446, 540, 1007, 6990, 568, 8754, 5355, 10721, 6455, 269, 1717, 2676, 17798, 267, 713, 1974, 540, 2883, 6433, 729, 1360, 2565, 585, 594, 295, 294, 543, 585, 519, 5411, 540, 519, 20730, 5665, 782, 936, 1158, 269, 634, 3332, 2689, 7150, 602, 782, 519, 1434, 5491, 3549, 5185, 1966, 538, 13844, 8804, 689, 8492, 538, 519, 1974, 540, 2883, 6433, 1813, 547, 799, 1082, 540, 741, 3785, 8959, 269, 634, 14540, 1705, 711, 723, 2614, 2724, 585, 14104, 4238, 540, 519, 13539, 543, 519, 30226, 619, 538, 519, 24756, 5823, 941, 711, 2111, 547, 6318, 8804, 547, 1376, 741, 1007, 1870, 1813, 547, 5491, 29511, 630, 307, 328, 2784, 657, 1299, 3057, 17144, 267, 0, 1432, 568, 17834, 288, 454, 763, 3119, 1843, 540, 519, 2754, 454, 763, 6490, 528, 663, 636, 540, 7681, 630, 19616, 288, 264, 3568, 3875, 21291, 602, 6813, 519, 3919, 781, 6859, 543, 519, 1843, 16083, 568, 835, 540, 873, 269, 3962, 3919, 568, 21821, 539, 609, 513, 1880, 1870, 2534, 607, 519, 3260, 518, 16976, 563, 3383, 1354, 11319, 4464, 609, 3919, 14261, 267, 621, 568, 1898, 547, 917, 519, 1808, 1870, 540, 519, 3919, 543, 922, 7182, 269, 1284, 723, 547, 1118, 4704, 547, 519, 1870, 2534, 538, 519, 1843, 16083, 540, 519, 2754, 563, 763, 3615, 16083, 5018, 538, 519, 3919, 781, 17834, 288, 16976, 519, 3483, 543, 9165, 540, 2238, 585, 799, 519, 2754, 13333, 269, 4438, 519, 2754, 14261, 1184, 267, 519, 9520, 3442, 519, 3615, 585, 799, 519, 2754, 568, 4646, 269, 1403, 972, 616, 2242, 547, 581, 1500, 547, 519, 3615, 936, 519, 12732, 540, 2238, 267, 2671, 14516, 13170, 1131, 581, 2838, 563, 11947, 7547, 540, 6490, 528, 663, 636, 540, 5948, 454, 268, 589, 7720, 320, 20475, 519, 2856, 540, 1870, 2238, 547, 581, 8678, 676, 519, 2754, 563, 268, 898, 568, 1305, 909, 676, 2043, 689, 519, 3919, 563, 268, 589, 8357, 663, 636, 540, 7681, 568, 9896, 676, 519, 9408, 686, 828, 540, 519, 2754, 799, 1590, 581, 513, 5934, 540, 476, 273, 538, 519, 2013, 540, 513, 4357, 2754, 543, 476, 278, 1004, 538, 519, 2013, 540, 513, 1857, 2754, 563, 268, 898, 568, 11643, 547, 519, 681, 8016, 2059, 609, 519, 824, 6054, 540, 2754, 5250, 563, 268, 589, 15149, 540, 25465, 786, 581, 6383, 563, 268, 17834, 288, 568, 513, 1857, 3561, 543, 666, 581, 13761, 676, 1022, 1367, 676, 1259, 540, 14791, 563, 268, 7102, 957, 2944, 3564, 519, 7060, 540, 519, 8357, 663, 636, 540, 7681, 786, 581, 5701, 607, 796, 32016, 543, 20704, 563, 5825, 720, 540, 17834, 288, 454, 268, 589, 8357, 663, 636, 540, 7681, 568, 513, 1713, 3561, 1510, 799, 606, 3919, 666, 1405, 581, 3838, 563, 268, 589, 8357, 663, 636, 540, 7681, 849, 1568, 607, 513, 17120, 585, 782, 519, 2043, 689, 519, 3919, 1519, 519, 19971, 267, 621, 2882, 519, 6859, 543, 849, 3568, 519, 20159, 799, 32604, 519, 8515, 540, 519, 3919, 563, 268, 2353, 519, 9520, 616, 24458, 676, 519, 8357, 663, 636, 540, 7681, 607, 972, 568, 2141, 513, 1981, 3238, 950, 606, 1367, 12662, 6666, 538, 606, 3919, 563, 268, 898, 2306, 16080, 11107, 917, 2436, 513, 1808, 3919, 568, 11727, 547, 1118, 8852, 610, 11760, 621, 563, 290, 5055, 4926, 540, 17834, 288, 454, 19616, 288, 540, 519, 7577, 13408, 540, 519, 18913, 21291, 912, 763, 2012, 16083, 568, 519, 1101, 16083, 538, 519, 6490, 528, 663, 636, 540, 7681, 269, 3371, 6227, 519, 2012, 540, 513, 2754, 269, 1403, 513, 1268, 6499, 547, 917, 519, 2347, 2012, 540, 519, 2754, 689, 799, 621, 568, 7620, 11368, 267, 519, 17834, 288, 568, 519, 4570, 6054, 547, 2638, 519, 1482, 563, 10702, 4408, 666, 581, 4957, 2687, 547, 519, 1870, 269, 13575, 267, 649, 666, 917, 519, 1826, 540, 2754, 676, 713, 16083, 2436, 621 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7170, 281, 1215, 547, 3399, 513, 21634, 1154, 20122, 2421, 2334, 2052, 2423, 333, 1411, 23448, 14559, 692, 272, 269, 20283, 2326, 281, 1677, 1376, 21688, 1154, 267, 596, 786, 991, 15144, 887, 1324, 630, 684, 4944, 684, 15144, 1070, 12853, 267, 3636, 1216, 267, 543, 513, 21688, 1154, 13549, 610, 17371, 14950, 269, 8838, 1308, 3688, 1331, 513, 19348, 7729, 4546, 610, 9419, 601, 585, 5935, 267, 513, 24621, 547, 2149, 707, 960, 2627, 267, 543, 1569, 547, 513, 11067, 3684, 543, 3819, 518, 563, 273, 269, 6258, 2596, 2553, 281, 10670, 676, 8026, 2241, 6632, 21688, 1154, 2409, 269, 20233, 856, 6094, 6106, 540, 15144, 887, 1324, 538, 513, 1835, 1170, 29589, 4806, 267, 1287, 9900, 6632, 543, 6299, 519, 11103, 1927, 1210, 12853, 344, 1216, 269, 15566, 2394, 519, 15144, 5956, 547, 5433, 543, 16756, 269, 2422, 513, 19348, 7729, 4546, 610, 9419, 601, 547, 3337, 543, 5581, 8728, 607, 2877, 563, 274, 269, 15331, 609, 1114, 5546, 543, 7306, 281, 8347, 1818, 6366, 4773, 971, 607, 1071, 7539, 267, 610, 1711, 1614, 8820, 3615, 899, 11084, 267, 5017, 267, 610, 5810, 269, 901, 11684, 4739, 2636, 585, 11995, 5876, 543, 17634, 563, 275, 269, 8073, 2189, 6272, 281, 4495, 6899, 609, 2596, 2553, 267, 1020, 707, 1378, 15040, 6163, 610, 3270, 269, 28799, 4778, 267, 4494, 18282, 267, 543, 6451, 30996, 880, 906, 899, 16181, 267, 19273, 267, 610, 10775, 19490, 563, 276, 269, 16959, 543, 9096, 707, 13144, 281, 14190, 8737, 3785, 547, 2011, 3819, 4625, 1354, 7829, 2417, 269, 1280, 5347, 7252, 267, 2015, 10296, 609, 513, 3905, 4401, 4988, 609, 513, 12308, 563, 277, 269, 5590, 909, 606, 2228, 4558, 12506, 281, 3194, 2442, 5867, 899, 661, 1206, 344, 267, 552, 29074, 267, 610, 8835, 7435, 18478, 547, 13686, 543, 6133, 707, 1688, 8154, 539, 3688, 269, 2142, 2386, 547, 1491, 2312, 6337, 10223, 3877, 543, 1683, 4977, 11673, 540, 7516, 267, 2326, 1031, 267, 543, 1416, 5528, 563, 278, 269, 12313, 8013, 569, 2943, 9425, 281, 14419, 14499, 1759, 593, 942, 16539, 267, 1570, 3790, 267, 11288, 12375, 267, 543, 2344, 3747, 269, 6333, 5356, 28774, 585, 13557, 16306, 610, 2688, 9753, 563, 279, 269, 32754, 707, 2472, 281, 22982, 1514, 2923, 5121, 267, 21075, 267, 610, 2199, 10229, 28503, 547, 5352, 1719, 538, 707, 17008, 269, 5510, 1359, 30572, 2285, 25498, 610, 24574, 1359, 609, 4623, 6203, 949, 948, 4228, 3914, 563, 280, 269, 674, 5285, 650, 9753, 7561, 281, 13268, 720, 3688, 18172, 1210, 3617, 14950, 3429, 2326, 543, 6928, 16425, 2390, 2256, 18967, 540, 8569, 269, 19321, 1930, 2792, 9055, 2429, 519, 1184, 547, 2327, 6075, 9547, 563, 1015, 269, 16418, 5955, 543, 11179, 2087, 281, 11559, 5561, 547, 4734, 8039, 4687, 741, 2833, 609, 707, 2472, 269, 2422, 16268, 9880, 547, 13217, 1983, 267, 4188, 5777, 267, 610, 12189, 1587, 3515, 9935, 780, 3528, 1739, 891, 3268, 267, 596, 666, 2981, 513, 1187, 21688, 1154, 15908, 883, 513, 19311, 2427, 1870, 1247, 11981, 3108, 540, 3860, 4082, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 666, 1406, 979, 856, 1317, 519, 4365, 568, 5906, 610, 930, 824, 2601, 267, 596, 666, 4339, 30627, 609, 891, 17598, 13167, 12348, 269, 17292, 856, 707, 5172, 2336, 763, 14785, 3364, 827, 891, 13167, 12348, 568, 602, 596, 666, 2490, 873, 883, 513, 1259, 547, 7118, 513, 2370, 3063, 2724, 1932, 256, 2107, 267, 952, 596, 1810, 1406, 1616, 547, 6133, 707, 13492, 267, 596, 666, 4688, 2724, 676, 4758, 873, 607, 18789, 13344, 269, 23657, 1259, 267, 596, 3580, 2972, 1565, 513, 1007, 15908, 610, 1079, 563, 23763, 811, 2093, 899, 713, 286, 4427, 18285, 2221, 547, 1205, 938, 12353, 14313, 538, 2659, 769, 7901, 20394, 7132, 824, 12600, 13344, 543, 3091, 2443, 782, 585, 17676, 2336, 1432, 3657, 20122, 9812, 454, 295, 984, 9812, 616, 4376, 602, 596, 798, 950, 596, 5749, 1406, 2324, 269, 1703, 616, 12777, 5215, 540, 12348, 856, 972, 269, 3245, 11256, 547, 6752, 547, 17539, 543, 1256, 13465, 267, 12348, 616, 4376, 602, 2306, 596, 6126, 563, 296, 16432, 930, 540, 519, 1655, 13167, 12348, 594, 1223, 1265, 269, 1452, 616, 782, 12348, 585, 15185, 1932, 269, 1403, 596, 1616, 547, 6133, 873, 543, 1305, 909, 513, 6300, 2228, 267, 891, 616, 12348, 602, 1118, 2724, 1932, 563, 290, 2761, 532, 20122, 9812, 1677, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 21634, 1154, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 16387, 814, 1044, 513, 4909, 1858, 540, 6128, 2094, 3504, 2053, 267, 3246, 721, 609, 2081, 547, 1174, 543, 4766, 5546, 543, 8901, 3347, 269, 1306, 596, 5965, 547, 1491, 519, 24321, 267, 621, 781, 1898, 547, 2689, 9511, 17950, 547, 2327, 707, 1967, 593, 981, 1554, 269, 901, 3296, 786, 5490, 883, 519, 9238, 540, 9511, 1247, 5356, 4052, 3156, 543, 4296, 547, 4207, 1382, 780, 272, 269, 18745, 543, 20514, 454, 1103, 9511, 267, 2798, 2099, 4087, 1510, 10155, 267, 6466, 3515, 5815, 3259, 855, 1100, 8700, 269, 1879, 7234, 6252, 3515, 267, 3314, 602, 789, 2760, 12969, 543, 2611, 2141, 519, 1482, 3845, 6306, 269, 3131, 12993, 3515, 267, 2705, 267, 12969, 693, 1318, 7285, 630, 3445, 5232, 1070, 8108, 2185, 15174, 1141, 789, 3444, 269, 1452, 2596, 2679, 7161, 1305, 519, 3942, 585, 2417, 7634, 883, 12166, 3601, 563, 273, 269, 27449, 454, 17951, 956, 2268, 10047, 610, 18846, 1063, 1079, 12969, 532, 3515, 269, 1358, 1404, 513, 2629, 1909, 538, 1585, 2127, 540, 9511, 267, 1519, 12730, 267, 29977, 267, 543, 10580, 269, 769, 2489, 267, 972, 616, 2947, 2010, 540, 7285, 1759, 593, 741, 3800, 281, 8650, 630, 1652, 982, 476, 3445, 4113, 1070, 1318, 630, 1410, 18075, 476, 3445, 4113, 1070, 1073, 339, 2224, 630, 3467, 982, 476, 3445, 4113, 855, 1447, 982, 476, 5197, 4113, 1070, 2786, 630, 1410, 18075, 476, 5197, 4113, 1070, 543, 16846, 630, 24030, 518, 982, 476, 5197, 4113, 855, 1447, 982, 476, 11740, 4113, 1040, 4197, 891, 1114, 5086, 7403, 2337, 950, 12719, 7508, 5011, 610, 7285, 1369, 1950, 5515, 780, 14483, 7066, 526, 281, 12824, 3136, 3695, 875, 3425, 13498, 543, 9794, 7285, 1016, 4621, 19290, 269, 1280, 3236, 267, 2090, 1397, 602, 1004, 4043, 547, 21467, 560, 1493, 1507, 7285, 543, 30391, 1804, 3283, 1813, 547, 5042, 12886, 269, 6270, 4681, 3565, 547, 938, 6626, 8223, 540, 1480, 8226, 543, 3375, 6194, 3157, 780, 272, 269, 10222, 9201, 454, 31590, 9201, 2874, 540, 1614, 14622, 4448, 676, 1614, 8728, 269, 3962, 6906, 3568, 4835, 7285, 4946, 909, 547, 476, 5197, 4113, 267, 1818, 873, 3407, 2645, 585, 6061, 2042, 5473, 7164, 2427, 13080, 610, 7285, 269, 15316, 28944, 2291, 1759, 593, 2427, 13080, 630, 3225, 10561, 267, 568, 30801, 267, 9470, 2940, 264, 543, 5086, 3800, 630, 2431, 267, 21933, 1664, 1040, 19361, 640, 609, 2027, 1318, 12730, 899, 476, 3393, 268, 3393, 268, 3445, 543, 476, 1789, 268, 2568, 268, 3445, 12730, 6087, 2656, 9273, 1210, 3964, 12753, 780, 18600, 21509, 7151, 281, 11629, 338, 7048, 8185, 593, 21083, 3889, 585, 6617, 543, 4222, 269, 2290, 4583, 1383, 568, 519, 661, 858, 601, 18975, 538, 8303, 267, 2966, 1210, 513, 3126, 540, 12730, 547, 15814, 2597, 14961, 2066, 922, 7406, 269, 1635, 16107, 519, 7915, 7293, 5383, 540, 12730, 267, 8030, 1711, 10930, 5656, 543, 13123, 780, 272, 269, 12443, 326, 976, 454, 28139, 326, 976, 3277, 547, 6806, 7077, 5515, 4646, 676, 8220, 1614, 610, 811, 1875, 3712, 15035, 2798, 630, 3200, 1182, 264, 3842, 1899, 12415, 1572, 8728, 269, 5871, 29977, 1331, 10945, 267, 25965, 267, 20008, 30368, 267, 15279, 30368, 267, 646, 696, 30368, 267, 12354, 30368, 267, 3092, 1421, 9286, 1759, 593, 519, 1297, 540, 5011, 269, 1230, 557, 343, 29977, 798, 711, 2270, 1022, 9703, 7285, 3152, 982, 476, 5197, 4113, 267, 1247, 6677, 1511, 29977, 4865, 693, 2547, 835, 5086, 3677, 982, 476, 5197, 4113, 269, 8617, 29977, 8858, 3160, 2427, 13080, 543, 7222, 5086, 3800, 780, 13146, 5530, 281, 4223, 11490, 2103, 5063, 4362, 513, 1007, 1826, 540, 20372, 1572, 606, 834, 292, 6113, 385, 495, 338, 4149, 2763, 651, 637, 20372, 2437, 799, 5161, 540, 562, 2798, 11231, 971, 602, 1169, 2009, 23756, 20372, 5462, 676, 1346, 2798, 814, 693, 2547, 835, 6316, 540, 3259, 693, 2547, 21762, 263, 273, 12684, 333, 269, 901, 14634, 8711, 519, 5571, 22906, 609, 21657, 4689, 3601, 543, 9727, 519, 2361, 781, 6422, 2470, 780, 272, 269, 19449, 3380, 454, 288, 5858, 568, 513, 2241, 6806, 7455, 9967, 540, 782, 2798, 1226, 573, 9665, 689, 513, 6378, 1448, 1572, 519, 4099, 269, 17781, 3601, 1331, 8006, 630, 13512, 823, 519, 8953, 1070, 18592, 630, 323, 2700, 1472, 519, 5858, 1070, 543, 1858, 630, 1889, 25979, 2230, 7854, 539, 676, 519, 5858, 1040, 11310, 540, 9095, 13080, 267, 9922, 267, 8126, 757, 267, 543, 22334, 3587, 4105, 950, 5466, 4359, 22762, 3740, 2055, 780, 3519, 3825, 547, 7351, 12367, 281, 2060, 7760, 538, 2029, 543, 5663, 2553, 267, 5730, 4070, 543, 12879, 540, 9764, 3615, 1831, 5051, 1271, 269, 3245, 8888, 3608, 2842, 18434, 547, 3384, 11741, 11418, 3334, 267, 17117, 540, 5858, 9511, 3788, 16832, 538, 2413, 4702, 3156, 780, 3528, 8499, 30230, 4771, 891, 9511, 17950, 267, 596, 786, 581, 1732, 9280, 547, 10994, 4101, 2042, 1282, 519, 24321, 6514, 543, 3564, 269, 5457, 602, 9511, 5170, 547, 11457, 7258, 6639, 3356, 267, 865, 9363, 5483, 827, 3209, 8906, 543, 7835, 5849, 4797, 2208, 538, 1312, 6310, 1702, 543, 1966, 9010, 5759, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 568, 513, 3957, 4781, 1369, 519, 15510, 2657, 1912, 6185, 563, 8923, 5077, 519, 3349, 2630, 585, 1883, 1344, 827, 713, 4110, 1982, 779, 23504, 4170, 269, 634, 1982, 949, 723, 811, 2143, 23504, 4170, 267, 799, 666, 581, 1336, 2630, 519, 3349, 610, 593, 519, 1982, 779, 3896, 563, 24836, 9958, 23504, 568, 513, 1079, 9912, 1184, 1063, 4081, 3292, 543, 519, 23958, 3427, 269, 7248, 1218, 1590, 2743, 519, 5934, 4170, 540, 519, 23958, 3427, 607, 1134, 607, 519, 1982, 4433, 1040, 4495, 596, 723, 21503, 519, 10927, 1982, 4433, 264, 596, 616, 5461, 538, 267, 4019, 2228, 563, 26180, 718, 16458, 1467, 1475, 20103, 476, 272, 2008, 16085, 7428, 16458, 1467, 1475, 1607, 1982, 1281, 711, 16153, 538, 519, 5614, 8198, 347, 11764, 1067, 16458, 1467, 1475, 1607, 1982, 1281, 711, 16153, 538, 519, 4832, 8198, 347, 294, 3918, 630, 24836, 9958, 16680, 1401, 3133, 725, 10534, 8253, 22490, 2008, 347, 12626, 4515, 11351, 4530, 1475, 9336, 32358, 4171, 5065, 1893, 568, 711, 2296, 610, 4171, 15938, 6044, 729, 711, 538, 2296, 1590, 1683, 606, 2296, 15334, 1449, 6060, 543, 2743, 519, 23958, 3427, 5934, 4170, 630, 10674, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10481, 5852, 26386, 257, 607, 851, 540, 834, 4306, 11070, 312, 15978, 1315, 24321, 630, 24836, 9958, 16680, 22410, 29215, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 18234, 10060, 267, 543, 1614, 1866, 4607, 519, 31692, 1639, 6796, 9061, 1107, 2034, 1152, 547, 519, 29274, 540, 27254, 538, 9301, 27089, 538, 2962, 563, 5472, 941, 609, 519, 8136, 29237, 17620, 693, 519, 942, 267, 835, 540, 519, 1360, 1906, 19093, 2021, 1185, 547, 4196, 538, 519, 4108, 269, 2755, 2564, 4559, 14201, 1406, 9277, 547, 2097, 896, 3595, 267, 891, 3670, 2021, 941, 1851, 519, 11923, 945, 1705, 2097, 896, 3595, 1107, 543, 1131, 10646, 2933, 563, 6097, 547, 13639, 6481, 267, 519, 1101, 4807, 547, 7118, 513, 18234, 10060, 630, 4385, 607, 519, 27375, 10060, 538, 2622, 2782, 594, 1070, 729, 13191, 594, 269, 681, 793, 601, 269, 2311, 476, 278, 281, 1789, 7537, 593, 5147, 476, 1428, 267, 476, 4489, 279, 267, 16353, 11233, 476, 273, 3357, 896, 4323, 269, 681, 793, 601, 29211, 538, 519, 27549, 540, 519, 2550, 1247, 896, 25044, 3595, 1107, 543, 6854, 2469, 2394, 519, 6413, 3294, 729, 7387, 539, 676, 519, 16586, 563, 276, 269, 476, 277, 269, 700, 4883, 773, 661, 269, 2274, 1188, 333, 648, 8341, 928, 7605, 601, 454, 300, 26090, 6481, 5359, 602, 891, 1079, 11923, 4607, 519, 27375, 10060, 585, 741, 3527, 1247, 851, 540, 606, 740, 554, 665, 1770, 1634, 607, 1744, 1442, 476, 16328, 267, 7923, 547, 12197, 11233, 476, 14096, 269, 1879, 519, 6413, 3357, 896, 3595, 593, 5147, 476, 3066, 267, 476, 4489, 279, 267, 789, 4797, 547, 1521, 20754, 7980, 945, 941, 4547, 538, 563, 763, 9661, 540, 519, 18234, 10060, 23700, 3217, 606, 4401, 545, 2490, 269, 2755, 519, 23700, 540, 519, 31692, 1639, 6796, 9061, 3893, 6284, 693, 519, 942, 538, 12326, 899, 519, 4750, 540, 16711, 267, 519, 27375, 10060, 23700, 1793, 5792, 998, 519, 18015, 269, 634, 18234, 25578, 941, 5555, 4843, 547, 519, 3885, 540, 13191, 681, 793, 601, 543, 700, 4883, 773, 2274, 1188, 333, 648, 563, 5591, 14077, 540, 8341, 928, 7605, 601, 723, 2097, 4464, 1107, 543, 1200, 18234, 10060, 3788, 796, 13094, 563, 288, 3935, 626, 2112, 596, 2760, 4862, 540, 4625, 12936, 519, 4527, 540, 17417, 593, 519, 11782, 1282, 519, 2038, 2395, 540, 3013, 563, 10673, 1406, 3190, 609, 513, 12370, 5552, 454, 21914, 17722, 6170, 519, 5354, 540, 1010, 1272, 1851, 2296, 21152, 269, 1261, 729, 1256, 13473, 693, 12370, 543, 1100, 8969, 12038, 1390, 2296, 269, 8616, 519, 19710, 1063, 519, 7087, 1004, 540, 3345, 3013, 543, 519, 21152, 729, 711, 796, 19874, 762, 269, 4256, 7874, 1894, 3357, 547, 606, 1439, 1310, 519, 21152, 14578, 26991, 11650, 789, 1185, 1500, 609, 519, 7111, 4892, 563, 5575, 267, 519, 21152, 1958, 549, 3737, 2417, 543, 2417, 883, 7111, 2244, 269, 3973, 267, 519, 21152, 6836, 547, 1711, 513, 4708, 6876, 602, 3769, 519, 7087, 1004, 540, 3345, 3013, 21704, 532, 782, 741, 15963, 269, 7053, 267, 519, 21152, 554, 6548, 1614, 654, 2086, 8457, 4711, 945, 1185, 23689, 1776, 654, 2086, 8457, 698, 585, 20729, 532, 741, 14316, 269, 3751, 17722, 4956, 519, 21152, 1185, 18084, 1932, 1082, 3515, 543, 2322, 1010, 3723, 1524, 281, 646, 543, 1010, 1004, 1223, 1491, 1100, 811, 269, 4935, 267, 3459, 3751, 22361, 760, 779, 2782, 563, 2791, 666, 1406, 581, 513, 5260, 720, 543, 711, 2503, 5260, 720, 538, 2132, 454, 8601, 1373, 711, 1360, 1134, 8153, 267, 3751, 17722, 779, 2782, 729, 519, 4666, 31586, 829, 32728, 7534, 2112, 538, 782, 540, 1977, 1686, 269, 898, 3459, 950, 519, 654, 2086, 8457, 4711, 14616, 1524, 519, 623, 569, 17625, 12733, 540, 4210, 534, 22855, 267, 26718, 532, 1082, 21152, 945, 1185, 5030, 972, 269, 3973, 267, 896, 5450, 659, 2210, 779, 9753, 267, 1776, 6239, 12590, 14316, 1572, 519, 715, 760, 332, 1075, 986, 3660, 1896, 2296, 10125, 269, 634, 3665, 5208, 540, 519, 986, 1749, 3769, 519, 967, 4593, 3234, 3729, 855, 7815, 532, 540, 2367, 267, 2021, 267, 1453, 267, 543, 1256, 13184, 563, 1103, 519, 1101, 3670, 3275, 540, 3751, 17722, 779, 2782, 267, 519, 2296, 1705, 711, 723, 1256, 835, 11802, 547, 1397, 585, 621, 269, 2311, 2063, 267, 30896, 689, 1142, 540, 519, 2296, 10125, 1558, 543, 4956, 547, 840, 3319, 1947, 4323, 519, 23902, 4048, 753, 11089, 267, 513, 9243, 7087, 1004, 540, 3345, 1977, 14316, 267, 609, 513, 17740, 807, 540, 476, 272, 267, 1822, 2367, 269, 3807, 607, 519, 23902, 4048, 753, 11089, 1185, 1044, 26718, 532, 3935, 626, 10034, 267, 865, 519, 2296, 631, 4106, 807, 1793, 4381, 1229, 873, 267, 6028, 476, 7785, 4666, 269, 898, 729, 513, 7432, 1448, 538, 519, 2112, 585, 519, 21152, 602, 519, 7087, 1004, 540, 3345, 3013, 2760, 3357, 1394, 689, 563, 288, 11505, 602, 729, 2760, 5921, 547, 2063, 454, 15987, 3751, 17722, 5128, 729, 7166, 538, 476, 15757, 277, 267, 2038, 538, 519, 2112, 267, 519, 3046, 8663, 748, 8165, 4797, 585, 1614, 1296, 538, 2698, 267, 9434, 689, 476, 15757, 276, 547, 476, 15757, 279, 269, 1879, 519, 2112, 8694, 267, 519, 3864, 21152, 6417, 782, 519, 2244, 689, 519, 9533, 7909, 547, 519, 23747, 5211, 563, 21914, 17722, 779, 2782, 729, 513, 3014, 7302, 9734, 585, 519, 2078, 1063, 519, 21152, 543, 519, 7087, 1004, 540, 3345, 3013, 269, 6969, 519, 2112, 267, 2296, 21152, 543, 519, 7087, 1004, 540, 3345, 3013, 9738, 513, 22510, 2078, 269, 634, 2112, 3648, 4957, 782, 602, 269, 898, 8937, 1540, 741, 24816, 543, 2451, 1312, 5011, 20935, 4724, 519, 824, 1312, 538, 6891, 543, 538, 2962, 269, 901, 1007, 2759, 628, 9130, 2078, 6038, 21490, 519, 1259, 585, 2698, 3864, 28735, 540, 3345, 3013, 563, 8253, 3025, 666, 2226, 735, 3837, 950, 519, 8484, 646, 779, 538, 6238, 547, 6336, 1852, 269, 1809, 602, 779, 1175, 1018, 713, 29274, 540, 27254, 18579, 1705, 267, 5103, 1373, 16094, 20754, 1247, 621, 729, 8345, 563, 305, 617, 2284, 962, 8457, 729, 4535, 593, 519, 8262, 6816, 540, 16127, 5176, 1079, 1296, 547, 519, 1554, 1310, 519, 772, 2529, 269, 9411, 2622, 2782, 4083, 269, 3571, 22594, 1185, 6294, 3603, 547, 519, 772, 2529, 269, 689, 3567, 1134, 1354, 602, 563, 6097, 547, 519, 6837, 1308, 29274, 540, 27254, 5980, 267, 646, 779, 835, 540, 476, 3451, 7489, 31787, 547, 4309, 519, 29274, 540, 27254, 563, 312, 8457, 8678, 519, 8136, 538, 476, 3422, 272, 1354, 4271, 908, 689, 1164, 1153, 269, 1261, 9782, 547, 519, 7584, 540, 5234, 1583, 613, 656, 543, 729, 593, 1010, 2034, 4663, 540, 10476, 950, 646, 2968, 606, 2011, 12284, 2006, 609, 519, 476, 1556, 628, 5794, 595, 10052, 787, 31118, 563, 4002, 3967, 269, 476, 272, 267, 476, 3422, 280, 267, 962, 8457, 729, 519, 9117, 12284, 8783, 543, 835, 540, 1079, 7450, 7784, 2996, 593, 1010, 2754, 779, 4971, 7146, 20820, 29357, 607, 621, 10692, 606, 10546, 31737, 538, 519, 10053, 19176, 26570, 2282, 645, 1329, 670, 7776, 563, 763, 14299, 704, 729, 2921, 1463, 3595, 689, 2630, 267, 855, 962, 8457, 7307, 547, 946, 1010, 3684, 7784, 547, 16401, 519, 10546, 779, 14213, 269, 1261, 729, 849, 2111, 547, 19184, 575, 1066, 3547, 602, 19501, 3043, 8485, 5387, 8673, 693, 741, 7158, 865, 1010, 7708, 641, 19524, 1223, 8308, 3595, 25044, 693, 741, 1303, 3402, 906, 563, 19013, 267, 835, 540, 1346, 575, 1066, 3547, 1011, 10757, 1932, 2038, 267, 8720, 962, 8457, 538, 519, 8781, 3114, 543, 4929, 4049, 17236, 269, 32746, 906, 540, 519, 575, 1066, 1228, 849, 9575, 7727, 538, 519, 29357, 593, 3595, 267, 1519, 993, 32099, 267, 799, 1033, 517, 730, 269, 6519, 8673, 4904, 519, 14299, 704, 267, 543, 519, 21804, 14201, 1406, 2111, 547, 1294, 547, 2226, 1852, 540, 519, 8484, 269, 634, 3510, 7012, 1406, 3168, 1434, 563, 3719, 962, 8457, 7012, 1406, 4712, 547, 979, 1524, 609, 519, 6928, 267, 607, 789, 2161, 269, 634, 3355, 575, 1066, 1228, 16411, 13148, 9420, 539, 1864, 543, 2451, 1864, 609, 519, 946, 540, 1152, 835, 6186, 267, 855, 646, 29860, 883, 2962, 19037, 267, 737, 10107, 543, 18530, 519, 1025, 5074, 993, 32099, 689, 519, 29357, 2394, 519, 1166, 5446, 4773, 941, 8854, 543, 519, 8673, 22012, 856, 563, 3080, 812, 593, 519, 29357, 729, 7166, 267, 543, 962, 8457, 4769, 1406, 7639, 1010, 1082, 7063, 269, 1809, 1010, 10100, 543, 6161, 585, 1010, 635, 10232, 685, 6668, 6854, 519, 14299, 704, 689, 2469, 1524, 267, 19011, 1154, 811, 2530, 540, 1272, 563, 2690, 602, 267, 962, 8457, 729, 2022, 21065, 3585, 15469, 547, 519, 7584, 540, 1583, 613, 656, 1101, 1362, 269, 2201, 4989, 476, 278, 267, 476, 3192, 271, 267, 1010, 3237, 4607, 519, 29274, 540, 27254, 585, 1010, 3527, 689, 5518, 9400, 29337, 563, 1103, 1010, 8956, 267, 519, 18535, 15298, 2475, 10064, 962, 8457, 729, 3957, 585, 1864, 267, 607, 1134, 607, 513, 29357, 5826, 9744, 693, 10783, 681, 27462, 267, 17665, 267, 543, 513, 5399, 693, 5576, 1993, 1752, 4446, 13715, 267, 16127, 563, 2691, 5545, 14742, 25626, 23421, 23320, 538, 519, 5412, 267, 476, 3707, 272, 267, 9983, 4323, 602, 3576, 3013, 883, 2622, 2782, 4083, 267, 972, 941, 1360, 1906, 772, 2529, 269, 10136, 2111, 547, 4339, 1394, 538, 1022, 6209, 1259, 269, 2334, 3085, 1406, 1611, 4187, 729, 8766, 269, 4495, 519, 2470, 540, 519, 4323, 729, 7691, 267, 1977, 8165, 2367, 16204, 836, 883, 2962, 267, 812, 940, 8726, 23640, 789, 1223, 269, 769, 1249, 267, 519, 4892, 16668, 519, 1101, 1973, 540, 519, 5545, 12677, 2782, 267, 29855, 519, 13178, 1016, 2366, 547, 11028, 519, 22426, 563, 2304, 5662, 543, 513, 3368, 1354, 519, 4323, 593, 23421, 23320, 267, 519, 5545, 941, 2907, 9561, 269, 1809, 1022, 8878, 538, 519, 3068, 540, 971, 513, 9983, 4323, 568, 17709, 540, 2446, 2443, 543, 17709, 540, 2407, 6284, 267, 2943, 835, 5794, 17620, 12681, 729, 17792, 519, 2407, 2268, 540, 6284, 563, 763, 2413, 6377, 3788, 540, 519, 13178, 1016, 3141, 330, 538, 23421, 23320, 454, 27456, 792, 331, 23320, 6250, 6002, 4741, 994, 306, 9722, 519, 5545, 11028, 18590, 1016, 7012, 1406, 519, 1152, 1977, 4187, 547, 519, 4323, 269, 772, 2529, 269, 10136, 17991, 8726, 1507, 7916, 789, 1185, 693, 741, 31487, 267, 25501, 812, 2740, 8726, 15963, 1223, 581, 4547, 547, 7703, 1996, 519, 19670, 4685, 17177, 1499, 267, 543, 513, 19625, 540, 1977, 21804, 2965, 3893, 883, 519, 2011, 267, 9419, 940, 606, 25848, 2940, 1297, 540, 5545, 2098, 14058, 267, 2523, 6236, 519, 12918, 1996, 873, 563, 7212, 519, 13108, 729, 519, 3119, 3077, 585, 519, 5545, 267, 2899, 741, 23038, 941, 1163, 2105, 267, 5545, 14742, 1500, 741, 1259, 547, 519, 8136, 2011, 26753, 547, 2269, 10623, 519, 2367, 543, 14742, 1247, 789, 941, 593, 519, 2666, 269, 901, 8671, 545, 729, 607, 3811, 607, 519, 4323, 593, 519, 12959, 4721, 538, 519, 22426, 267, 855, 1175, 607, 519, 2475, 306, 21600, 13986, 547, 1205, 25093, 538, 519, 3068, 540, 519, 9983, 4323, 267, 1977, 21804, 849, 13986, 547, 1491, 1055, 543, 1205, 883, 519, 4339, 563, 298, 3317, 996, 13177, 543, 6723, 21969, 577, 454, 263, 308, 2529, 269, 5794, 10414, 994, 295, 1157, 600, 543, 661, 11445, 5794, 26753, 941, 10969, 730, 676, 519, 2269, 325, 532, 8255, 540, 5545, 25881, 267, 865, 729, 519, 13108, 779, 3490, 593, 7404, 16110, 6816, 269, 1809, 972, 729, 2899, 2011, 7615, 602, 7283, 7361, 2150, 31189, 676, 519, 19670, 14763, 267, 5103, 519, 986, 3101, 19666, 6370, 2921, 1747, 538, 519, 22839, 1657, 621, 563, 6546, 6640, 267, 8136, 5794, 17620, 21804, 6723, 21969, 577, 543, 26366, 996, 13177, 941, 23232, 1055, 1532, 848, 689, 606, 12473, 3781, 540, 6704, 267, 15472, 267, 543, 4730, 6486, 269, 1879, 789, 4862, 540, 519, 4323, 593, 23421, 23320, 267, 789, 546, 14414, 1055, 538, 741, 1286, 547, 1118, 1259, 547, 519, 2011, 7615, 693, 670, 1446, 328, 11445, 267, 1141, 789, 12479, 547, 723, 23185, 543, 11439, 623, 268, 2412, 8751, 1695, 1177, 802, 4712, 547, 979, 538, 8878, 540, 519, 10195, 269, 1358, 6603, 519, 2011, 7615, 1282, 519, 2034, 5951, 540, 519, 5545, 4323, 543, 7307, 547, 1205, 23197, 267, 1869, 9849, 512, 5060, 539, 334, 27890, 689, 519, 3105, 3781, 779, 11240, 787, 563, 295, 1157, 600, 8136, 5794, 12197, 896, 4323, 267, 5463, 269, 476, 278, 267, 476, 3707, 272, 563, 5629, 620, 21510, 267, 519, 1079, 2011, 5443, 941, 538, 513, 3077, 11656, 1604, 267, 5679, 12177 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 4201, 528, 281, 24883, 19499, 1729, 1234, 13433, 2107, 339, 714, 454, 258, 29439, 8692, 322, 542, 281, 6726, 320, 3288, 1253, 4545, 807, 679, 5998, 267, 679, 796, 27764, 11391, 334, 632, 476, 278, 31477, 267, 476, 275, 269, 276, 327, 3464, 586, 3288, 27922, 21059, 546, 3385, 11188, 1714, 721, 340, 9222, 269, 570, 3711, 328, 26408, 533, 4240, 324, 1608, 4788, 454, 258, 4432, 27764, 11391, 334, 6446, 512, 731, 320, 679, 31477, 267, 679, 19448, 1253, 4545, 807, 632, 476, 8064, 272, 14790, 267, 28075, 783, 11188, 3288, 27922, 21059, 546, 3385, 11188, 1714, 721, 340, 9222, 563, 258, 661, 18285, 8913, 1982, 320, 16339, 340, 15530, 632, 1609, 320, 561, 6403, 12795, 563, 16210, 11391, 334, 4462, 334, 815, 476, 278, 454, 16210, 11391, 334, 291, 657, 815, 476, 275, 269, 276, 454, 23251, 4545, 807, 307, 637, 815, 476, 8064, 272, 454, 767, 665, 21059, 815, 703, 9272, 2891, 307, 1815, 548, 320, 3288, 27922, 21059, 513, 3288, 6446, 3842, 10937, 1714, 10081, 281, 8442, 2020, 23251, 4545, 807, 4462, 334, 815, 27764, 11391, 334, 4462, 334, 2608, 27922, 21059, 454, 23251, 4545, 807, 291, 657, 815, 476, 27764, 11391, 334, 291, 657, 2608, 27922, 21059, 454, 16210, 11391, 11561, 637, 815, 476, 1253, 4545, 807, 307, 637, 1315, 27922, 21059, 692, 2745, 2891, 18850, 4545, 807, 973, 528, 5090, 320, 679, 476, 278, 31477, 24333, 834, 346, 15545, 272, 325, 348, 257, 1547, 3898, 5560, 626, 4545, 807, 4462, 334, 4297, 825, 1948, 834, 346, 15545, 272, 325, 348, 257, 1547, 3898, 590, 7644, 12717, 24315, 288, 27107, 290, 2752, 454, 14030, 14030, 1363, 1948, 476, 20700, 715, 9331, 2207, 302, 16692, 667, 4488, 8379, 3201, 2464, 1627, 16604, 19532, 296, 2207, 2464, 454, 2745, 2891, 291, 6017, 807, 973, 528, 5090, 320, 679, 476, 275, 269, 276, 327, 3464, 24333, 834, 346, 15545, 272, 325, 348, 257, 1547, 3898, 5560, 626, 4545, 807, 291, 657, 4917, 2745, 2891, 307, 328, 11391, 334, 16948, 973, 528, 17243, 476, 8064, 272, 5998, 24333, 834, 346, 15545, 272, 325, 348, 257, 1547, 3898, 6025, 328, 11391, 11561, 637, 4917, 0, 5228, 2979, 1104, 5492, 692, 322, 302, 815, 10581, 9272, 3488, 23974, 522, 512, 16120, 14833, 798, 3032, 16587, 1566, 739, 334, 286, 10807, 2020, 322, 288, 815, 10581, 9272, 3488, 23974, 522, 512, 16120, 14833, 798, 3032, 16587, 11105, 324, 286, 10807, 2020, 327, 815, 5492, 6262, 302, 267, 524, 288, 2020, 2745, 6600, 262, 320, 12048, 582, 523, 340, 553, 1199, 324, 2715, 327, 348, 17210, 0, 4186, 611, 2803, 7272, 4100, 815, 476, 271, 454, 4186, 611, 2803, 318, 11069, 4100, 815, 476, 271, 454, 1721, 1775, 538, 2039, 263, 1015, 2187, 825, 562, 815, 703, 9272, 2891, 1231, 4275, 19804, 1003, 3266, 703, 324, 10098, 281, 27328, 825, 952, 562, 4939, 476, 273, 2652, 476, 271, 912, 1038, 733, 611, 2803, 7272, 4100, 6834, 476, 272, 454, 825, 3116, 912, 1038, 733, 611, 2803, 318, 11069, 4100, 6834, 476, 272, 692, 2745, 6600, 257, 346, 4186, 611, 2803, 7272, 4100, 348, 533, 4100, 552, 2715, 4186, 611, 2803, 318, 11069, 4100, 348, 791, 4100, 5602, 0, 15893, 815, 703, 9272, 31156, 328, 815, 476, 273, 454, 321, 944, 815, 6936, 454, 6112, 1775, 2999, 1297, 912, 825, 952, 1297, 4939, 1775, 2652, 476, 271, 912, 1038, 1820, 6600, 257, 346, 15893, 348, 715, 12728, 302, 27878, 623, 6020, 19616, 5602, 1038, 536, 944, 815, 8771, 454, 825, 1775, 6834, 476, 272, 692, 604, 536, 944, 912, 825, 1820, 6600, 257, 346, 15893, 348, 27878, 623, 6020, 19616, 8442, 0, 3698, 1711, 4671, 340, 921, 3287, 267, 586, 267, 1990, 2187, 825, 2132, 630, 343, 267, 586, 267, 1990, 9239, 3698, 2638, 5334, 1938, 318, 732, 318, 20777, 6025, 340, 921, 2187, 825, 952, 24042, 314, 271, 316, 2999, 24042, 314, 272, 316, 1341, 24042, 314, 273, 316, 610, 24042, 314, 272, 316, 2999, 24042, 314, 271, 316, 1341, 24042, 314, 273, 316, 610, 24042, 314, 273, 316, 2999, 24042, 314, 272, 316, 1341, 24042, 314, 271, 14158, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 7531, 3698, 1305, 25292, 4671, 686, 4120, 6025, 340, 921, 2187, 825, 952, 24042, 314, 271, 316, 2652, 24042, 314, 272, 316, 543, 24042, 314, 271, 316, 2652, 24042, 314, 273, 14158, 1038, 2132, 834, 31590, 5889, 978, 25222, 4982, 559, 5451, 614, 334, 4840, 825, 8640, 24042, 314, 271, 316, 11203, 24042, 314, 272, 316, 543, 24042, 314, 271, 316, 11203, 24042, 314, 273, 14158, 1038, 2132, 834, 31590, 5889, 978, 25222, 18521, 531, 523, 334, 4840, 825, 3116, 912, 1038, 2132, 834, 31590, 5889, 978, 25222, 1772, 6759, 338, 29585, 5016, 454, 2515, 272, 815, 3403, 2891, 11900, 4275, 522, 6584, 2939, 334, 798, 6305, 10098, 561, 5964, 281, 19515, 2515, 273, 815, 3403, 2891, 11900, 4275, 522, 6584, 2939, 334, 798, 5302, 1495, 334, 561, 5964, 281, 19515, 2515, 274, 815, 3403, 2891, 11900, 4275, 522, 6584, 2939, 334, 798, 1768, 576, 10098, 561, 5964, 281, 834, 2020, 14654, 680, 320, 815, 1711, 4671, 340, 921, 263, 2515, 272, 267, 2427, 273, 267, 2427, 274, 994, 529, 4671, 686, 4120, 815, 2638, 5334, 1938, 318, 732, 318, 20777, 6025, 340, 680, 320, 2020, 604, 568, 4671, 686, 4120, 912, 825, 1820, 263, 3553, 25292, 4671, 686, 4120, 6025, 340, 680, 320, 4917, 12828, 912, 825, 1820, 2891, 11675, 6584, 2939, 657, 1780, 15606, 562, 14244, 1106, 600, 19804, 2468, 5889, 978, 25222, 256, 8442, 0, 5228, 10070, 1104, 9949, 18743, 454, 322, 611, 1716, 334, 815, 2715, 257, 10111, 32221, 9899, 834, 19442, 268, 18357, 274, 2580, 834, 2304, 320, 9899, 834, 15886, 280, 268, 15886, 280, 20350, 19930, 834, 290, 7517, 9899, 834, 280, 3374, 277, 268, 280, 6078, 277, 2580, 834, 10111, 32221, 9899, 1412, 279, 4366, 276, 268, 5952, 273, 272, 262, 8679, 2745, 6262, 611, 1716, 334, 994, 2745, 6262, 611, 1716, 334, 10947, 3488, 2304, 320, 10807, 2020, 2617, 334, 815, 20017, 1716, 334, 6983, 4878, 4590, 2617, 334, 21014, 3488, 2304, 320, 5073, 2745, 263, 2617, 334, 9239, 4186, 520, 657, 815, 27835, 10111, 32221, 9166, 2715, 257, 974, 548, 325, 821, 9899, 834, 19442, 273, 268, 15886, 280, 2580, 834, 16942, 9899, 1412, 537, 287, 537, 2593, 262, 3686, 454, 2745, 263, 4186, 520, 657, 2020, 325, 19189, 815, 834, 302, 544, 1263, 14244, 632, 7534, 1629, 9820, 803, 639, 844, 518, 573, 657, 4840, 325, 19189, 815, 9992, 848, 31573, 10797, 4186, 11456, 815, 9949, 18743, 17301, 994, 1721, 1286, 1461, 538, 9992, 848, 18622, 2897, 3488, 22207, 15234, 2187, 825, 733, 11456, 314, 8364, 1461, 316, 815, 476, 272, 952, 1286, 1461, 711, 538, 733, 11456, 3116, 733, 11456, 314, 8364, 1461, 316, 1341, 476, 272, 454, 2745, 263, 4186, 11456, 9239, 12163, 291, 5964, 579, 2742, 2881, 2742, 635, 959, 17845, 338, 711, 553, 632, 1008, 320, 267, 1427, 11448, 844, 9820, 620, 684, 657, 585, 600, 513, 25075, 15606, 522, 340, 1065, 22201, 15606, 454, 1260, 513, 544, 2946, 29953, 476, 277, 454, 20701, 454, 3698, 18287, 5334, 15856, 659, 7776, 4671, 584, 2742, 6025, 584, 2742, 2187, 825, 1267, 5964, 815, 31460, 825, 585, 562, 727, 267, 711, 553, 538, 2881, 2742, 29096, 10031, 1038, 2923, 815, 2040, 263, 2254, 553, 8358, 6352, 263, 2254, 553, 994, 1038, 952, 2923, 13843, 476, 277, 912, 2018, 1267, 5964, 19559, 727, 316, 815, 834, 29332, 296, 6673, 4629, 309, 4696, 302, 2910, 300, 589, 32212, 8656, 281, 14307, 2923, 454, 1038, 3116, 912, 2018, 1267, 5964, 19559, 727, 316, 815, 834, 29332, 296, 29187, 4629, 309, 4696, 302, 2910, 300, 589, 32212, 8656, 281, 14307, 2923, 454, 825, 2132, 1267, 5964, 7531, 339, 584, 2742, 815, 13634, 825, 834, 10111, 32221, 9899, 1496, 278, 267, 476, 278, 267, 476, 278, 16689, 825, 834, 2304, 320, 9899, 1496, 273, 267, 476, 279, 267, 476, 278, 16689, 825, 834, 5141, 4673, 9899, 1496, 277, 267, 476, 277, 267, 476, 277, 2639, 10926, 2745, 263, 5632, 322, 5334, 15856, 659, 7776, 4671, 584, 2742, 6025, 584, 2742, 4917, 0, 3698, 524, 4548, 636, 17338, 320, 5332, 10179, 657, 2187, 825, 1267, 815, 476, 271, 454, 825, 562, 13960, 8217, 320, 815, 11713, 825, 585, 1775, 538, 30458, 5332, 10179, 657, 912, 1038, 1267, 6834, 1775, 454, 1038, 562, 13960, 8217, 320, 6910, 31114, 994, 825, 2132, 562, 13960, 8217, 320, 7531, 4289, 320, 815, 1496, 272, 267, 476, 274, 267, 476, 277, 267, 476, 1015, 267, 476, 1428, 267, 476, 2641, 2639, 2745, 6262, 4548, 636, 17338, 320, 4297, 0, 3698, 568, 7272, 531, 785, 668, 334, 9638, 531, 822, 571, 2187, 825, 538, 545, 1470, 815, 476, 271, 454, 825, 535, 574, 815, 7003, 9638, 531, 822, 571, 264, 910, 476, 272, 692, 825, 585, 1775, 538, 2039, 12759, 9638, 531, 822, 571, 264, 2260, 273, 2187, 1038, 952, 5493, 822, 571, 314, 28649, 1470, 316, 11203, 5493, 822, 571, 314, 325, 574, 14158, 2018, 2132, 8771, 454, 1038, 538, 545, 1470, 815, 538, 545, 1470, 1341, 476, 272, 454, 1038, 535, 574, 815, 535, 574, 910, 476, 272, 454, 825, 2132, 6936, 0, 333, 815, 703, 9272, 2891, 2304, 592, 281, 8442, 3418, 604, 562, 260, 1321, 2652, 476, 271, 6769, 476, 1820, 2891, 300, 2727, 340, 388, 505, 26324, 14744, 604, 562, 260, 1321, 2652, 476, 272, 6769, 476, 1820, 2891, 290, 27494, 388, 503, 14744, 604, 562, 260, 1321, 2652, 476, 273, 6769, 476, 1820, 2891, 290, 5889, 710, 14744, 604, 562, 260, 1321, 2652, 476, 274, 6769, 476, 1820, 2891, 303, 528, 322, 14744, 604, 562, 260, 1321, 2652, 476, 275, 6769, 476, 1820, 2891, 388, 502, 984, 565, 534, 14744, 604, 562, 260, 1321, 2652, 476, 276, 6769, 476, 1820, 2891, 289, 537, 14744, 604, 562, 260, 1321, 2652, 476, 277, 6769, 476, 1820, 2891, 307, 580, 745, 14744, 604, 562, 260, 1321, 2652, 476, 278, 6769, 476, 1820, 2891, 296, 788, 675, 14744, 604, 562, 260, 1321, 2652, 476, 279, 6769, 476, 1820, 2891, 291, 16400, 14744, 604, 562, 260, 1321, 2652, 476, 280, 6769, 476, 1820, 2891, 388, 502, 541, 701, 14744, 604, 562, 260, 1321, 2652, 476, 1015, 6769, 476, 1820, 2891, 9773, 14744, 604, 562, 260, 1321, 2652, 476, 1556, 6769, 476, 1820, 2891, 302, 320, 773, 8442, 0, 5814, 10070, 692, 3698, 568, 7272, 531, 30308, 263, 10420, 24512, 2187, 825, 2132, 1193, 263, 10420, 24512, 264, 2652, 1193, 263, 10420, 24512, 264, 11468, 18737, 272, 6540, 454, 258, 817, 2541, 5044, 568, 1592, 540, 3197, 454, 3698, 25276, 9078, 784, 652, 7272, 531, 30308, 263, 6783, 267, 1592, 15058, 318, 8145, 8724, 15220, 1513, 2187, 825, 4831, 815, 10070, 5861, 3300, 263, 6783, 994, 825, 9165, 10734, 944, 815, 568, 7272, 531, 30308, 17338, 15058, 318, 8145, 8724, 15220, 1513, 994, 825, 952, 711, 1592, 6262, 3300, 4318, 6123, 3890, 2187, 1038, 2132, 630, 6352, 17338, 15058, 318, 8145, 8724, 15220, 1513, 1070, 9165, 10734, 944, 2020, 825, 13074, 815, 630, 15615, 3488, 268, 8882, 30670, 9165, 10734, 944, 264, 3097, 825, 585, 1883, 538, 4831, 912, 1038, 1948, 1372, 920, 618, 1871, 693, 602, 1883, 454, 1038, 952, 4831, 314, 4486, 316, 3436, 476, 271, 912, 2018, 4831, 314, 4486, 316, 20699, 476, 272, 454, 1038, 3116, 912, 2018, 3136, 454, 1038, 1592, 15058, 318, 8145, 8724, 15220, 1513, 6910, 31107, 994, 1038, 10917, 815, 25276, 9078, 784, 652, 7272, 531, 30308, 17338, 6262, 3300, 4318, 6123, 3890, 1070, 1592, 15058, 318, 8145, 8724, 15220, 1513, 994, 1038, 952, 10917, 314, 272, 14158, 2018, 13074, 815, 3193, 10857, 784, 652, 267, 10917, 994, 1038, 1592, 15058, 318, 8145, 8724, 15220, 1513, 21014, 4590, 1038, 4831, 314, 4486, 316, 6834, 476, 272, 454, 825, 2132, 13074, 692, 1038, 1948, 5417, 602, 1871, 1394, 3097, 825, 1948, 585, 1347, 538, 5044, 912, 825, 1948, 672, 10917, 318, 1551, 815, 1642, 5044, 314, 6783, 28827, 263, 10420, 994, 825, 1948, 672, 25276, 9078, 784, 652, 7272, 531, 30308, 263, 6783, 314, 272, 281, 3910, 1592, 15058, 318, 8145, 8724, 15220, 1513, 6910, 263, 10420, 11723, 692, 6783, 815, 18358, 323, 12887, 320, 12887, 323, 23300, 516, 15479, 633, 9078, 784, 652, 7272, 531, 30308, 263, 6783, 267, 1496, 7481, 258, 1820, 20328, 5560, 611, 25011, 271, 18737, 272, 2639 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2043, 2057, 936, 2675, 1117, 30389, 543, 2327, 789, 21138, 2614, 1648, 543, 1445, 547, 4247, 543, 3347, 602, 5963, 2339, 780, 8139, 2123, 6302, 568, 2629, 1317, 621, 6087, 721, 547, 1711, 2922, 5624, 267, 3895, 8994, 2463, 267, 543, 11349, 6209, 4296, 269, 1879, 2324, 1369, 513, 6107, 7888, 1072, 2533, 1982, 267, 9301, 543, 30176, 2123, 6302, 5849, 1312, 7218, 543, 7426, 1745, 12595, 267, 4862, 267, 543, 15197, 2429, 741, 4205, 780, 4089, 476, 273, 281, 10289, 3117, 550, 692, 8256, 550, 4016, 547, 17319, 267, 5483, 6876, 1063, 1079, 610, 811, 6105, 7722, 538, 1022, 2534, 5473, 3838, 1981, 610, 13438, 269, 5136, 8877, 8763, 9844, 3340, 3742, 6947, 267, 2312, 2792, 267, 543, 5571, 19908, 269, 5047, 267, 9844, 1590, 2141, 581, 25981, 267, 1808, 267, 31181, 267, 5483, 267, 543, 6857, 630, 1492, 27099, 11536, 6938, 26564, 713, 1523, 6393, 763, 2956, 540, 13844, 4570, 9844, 11498, 3564, 15982, 13341, 282, 621, 10039, 8449, 547, 4948, 3871, 899, 24228, 513, 3659, 781, 28378, 610, 10283, 538, 1895, 2238, 269, 10738, 513, 6107, 7888, 1072, 2533, 2796, 267, 11543, 1697, 9844, 3322, 26655, 2550, 827, 2126, 3681, 267, 7234, 2404, 4220, 543, 2640, 267, 543, 5275, 741, 13170, 1354, 23312, 609, 2564, 5773, 610, 7459, 780, 2005, 568, 4502, 15663, 602, 1978, 2188, 949, 1860, 606, 1367, 781, 4390, 547, 1683, 9758, 9844, 269, 1280, 3236, 267, 2085, 267, 11095, 3942, 267, 5042, 5759, 267, 543, 5626, 1533, 1522, 1764, 606, 15730, 781, 3375, 6194, 7207, 269, 4475, 267, 3782, 4648, 1058, 3635, 3063, 13657, 950, 12570, 2436, 513, 1762, 2937, 814, 18113, 6956, 543, 8815, 547, 6069, 5574, 610, 7459, 780, 4089, 476, 274, 281, 20710, 3101, 9608, 21940, 2456, 543, 3117, 550, 1369, 15272, 6363, 7037, 2657, 7896, 15789, 692, 2414, 3927, 11753, 2123, 6302, 543, 9844, 883, 6107, 7888, 1072, 2533, 5752, 267, 1896, 2994, 15549, 7156, 1384, 272, 269, 11559, 7046, 9442, 910, 23340, 606, 1604, 602, 7028, 9237, 5188, 1063, 3782, 7426, 543, 7218, 269, 3629, 3255, 585, 1762, 4079, 547, 5639, 4145, 267, 2307, 2055, 267, 543, 3343, 27792, 827, 2139, 2533, 563, 273, 269, 32754, 17607, 540, 9608, 6611, 910, 21541, 5234, 2818, 547, 5431, 543, 8956, 1142, 7817, 781, 2189, 4313, 7997, 269, 901, 2882, 20170, 547, 5227, 1514, 26865, 4808, 9624, 5046, 268, 866, 6855, 9993, 543, 1210, 26068, 10291, 547, 15378, 16133, 7375, 563, 274, 269, 17372, 5295, 18868, 910, 25506, 7915, 1379, 20817, 1369, 3782, 5468, 543, 11441, 547, 7413, 873, 998, 8537, 1893, 267, 10319, 3375, 6194, 3157, 267, 543, 16882, 7341, 563, 275, 269, 20644, 6520, 5025, 653, 12037, 4065, 910, 4982, 760, 1762, 4079, 609, 1702, 543, 1983, 2556, 547, 1118, 5483, 3664, 827, 741, 4703, 267, 14920, 267, 543, 3782, 2115, 269, 20864, 2963, 2861, 21195, 5466, 2123, 6302, 267, 9844, 267, 543, 2635, 2078, 6384, 883, 1153, 2861, 2069, 3292, 543, 2146, 23793, 3646, 563, 276, 269, 25956, 18043, 9751, 910, 3763, 11173, 2069, 13838, 5059, 593, 2123, 6302, 543, 9844, 585, 3782, 7426, 7674, 10708, 269, 17115, 9337, 2326, 547, 2992, 6932, 1655, 2853, 543, 6451, 5499, 3450, 2409, 602, 8597, 547, 3309, 1565, 6163, 563, 277, 269, 18554, 1520, 11447, 547, 11621, 910, 18430, 13350, 32116, 540, 3028, 6765, 10873, 543, 4791, 12319, 4170, 547, 2327, 5812, 3498, 540, 10465, 1606, 23293, 543, 9844, 268, 984, 8877, 3741, 2066, 782, 5905, 9557, 780, 6962, 692, 3528, 10128, 2123, 6302, 543, 9844, 883, 6107, 7888, 1072, 2533, 5752, 267, 649, 666, 3648, 3986, 519, 2298, 540, 1416, 9447, 547, 1762, 4079, 538, 991, 269, 3414, 18532, 3609, 1646, 267, 6098, 2866, 7341, 267, 543, 13455, 14223, 3646, 267, 649, 666, 17362, 519, 1259, 4724, 10930, 267, 811, 11215, 5054, 602, 10575, 3424, 12790, 2950, 543, 22299, 12581, 1569, 547, 1898, 2200, 269, 11086, 267, 5807, 513, 4514, 7071, 585, 891, 4295, 28975, 16877, 721, 782, 547, 1291, 18668, 267, 8902, 2729, 6353, 676, 8994, 2463, 267, 6568, 267, 543, 17519, 4276, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21574, 13205, 547, 543, 4863, 2209, 540, 519, 11865, 540, 513, 6107, 7888, 1072, 2533, 10872, 538, 6917, 3162, 4000, 454, 289, 10157, 2657, 7896, 3194, 4320, 476, 1691, 267, 9137, 1297, 281, 476, 28796, 630, 1001, 275, 994, 312, 1926, 7888, 1072, 2533, 616, 513, 1883, 4640, 585, 5355, 1762, 1004, 779, 1072, 269, 901, 568, 519, 1101, 1353, 14236, 11865, 540, 519, 15272, 674, 7037, 7896, 10872, 538, 3162, 4000, 2094, 519, 3084, 4972, 540, 2657, 3576, 936, 922, 2359, 538, 476, 1220, 277, 269, 769, 513, 6917, 1858, 540, 3162, 4000, 267, 649, 6322, 547, 4766, 519, 4162, 540, 519, 15597, 30845, 3119, 3782, 6703, 267, 8495, 519, 8167, 540, 6703, 602, 3177, 519, 15272, 674, 7037, 7896, 10872, 543, 4983, 3782, 4600, 685, 9228, 7496, 547, 543, 4863, 2209, 540, 519, 11865, 540, 6107, 7888, 1072, 2533, 563, 306, 655, 328, 3613, 19099, 11042, 941, 5342, 609, 11923, 540, 782, 5216, 15597, 30845, 3119, 3782, 6703, 538, 3397, 4532, 22620, 1016, 1673, 626, 2774, 267, 631, 335, 636, 531, 18553, 19435, 267, 3162, 4000, 269, 634, 15122, 2079, 540, 5967, 911, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23114, 21940, 2456, 543, 3117, 550, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 2657, 1299, 11545, 12389, 1315, 8881, 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, 5629, 2390, 513, 942, 267, 538, 513, 30152, 2244, 1572, 5333, 267, 972, 941, 2185, 12703, 2828, 3957, 24839, 267, 21322, 267, 10496, 13196, 267, 543, 3244, 821, 269, 1358, 5030, 538, 513, 18241, 8498, 31314, 1851, 3039, 15113, 543, 4544, 8933, 269, 4634, 1498, 789, 941, 1762, 899, 596, 267, 789, 1185, 2462, 12271, 2407, 540, 10100, 543, 11587, 780, 3080, 1554, 267, 1247, 4730, 2282, 519, 2025, 5399, 267, 789, 16686, 2390, 513, 7452, 344, 1433, 827, 27858, 543, 9817, 269, 634, 1433, 14437, 827, 9490, 7068, 1572, 1412, 9618, 18436, 262, 799, 1500, 519, 20987, 9817, 887, 541, 269, 22582, 267, 10496, 13196, 4280, 267, 834, 1432, 1281, 713, 2262, 1611, 8119, 1656, 24839, 6045, 9900, 267, 834, 2005, 1797, 513, 2027, 2186, 540, 27576, 3010, 2026, 789, 1166, 5792, 998, 519, 3817, 267, 789, 4362, 2984, 827, 1004, 945, 5280, 1866, 1282, 9157, 2053, 269, 901, 18056, 873, 540, 519, 8941, 789, 4862, 827, 9835, 6261, 27056, 781, 9035, 609, 519, 674, 1066, 3832, 18650, 950, 646, 729, 707, 2085, 269, 1261, 1131, 2141, 2995, 873, 875, 1271, 16542, 543, 22838, 941, 950, 7555, 909, 1996, 7965, 269, 27837, 676, 891, 2984, 267, 789, 4956, 547, 1106, 741, 1378, 2370, 5728, 8630, 267, 1572, 15776, 2549, 529, 595, 5971, 5060, 630, 1492, 4858, 557, 14886, 6393, 3086, 267, 835, 1522, 4898, 1018, 13763, 267, 11396, 267, 543, 1256, 8290, 1185, 547, 798, 609, 782, 540, 713, 269, 4270, 267, 3314, 1346, 26240, 5652, 2780, 12961, 3214, 3006, 5873, 6738, 5725, 2911, 827, 286, 24295, 568, 1175, 1776, 2012, 585, 835, 540, 1346, 256, 898, 7140, 856, 602, 972, 11478, 6263, 28164, 3843, 547, 3247, 1004, 689, 4687, 17681, 2984, 899, 16523, 269, 1809, 711, 547, 5855, 267, 1317, 24839, 267, 21322, 267, 10496, 13196, 267, 543, 3244, 821, 12247, 539, 547, 2149, 3025, 781, 10475, 2984, 780, 5445, 4121, 827, 3532, 2645, 1634, 607, 1412, 338, 13996, 11396, 9538, 1452, 4025, 8659, 1082, 5904, 2324, 1927, 267, 5329, 3025, 4448, 543, 4180, 4190, 8941, 4797, 8757, 1169, 2295, 269, 3807, 899, 2831, 2713, 25747, 593, 513, 1483, 3484, 267, 1142, 2780, 1185, 922, 2816, 547, 798, 865, 1100, 835, 5433, 2451, 856, 269, 1879, 835, 3684, 2877, 948, 1620, 1945, 267, 824, 5904, 26866, 1229, 28663, 883, 922, 1274, 2394, 3388, 2968, 2312, 1586, 780, 15919, 267, 1919, 4957, 2479, 865, 5594, 538, 519, 3009, 1765, 3697, 4946, 3063, 1913, 1934, 610, 2921, 2476, 930, 5022, 972, 269, 2334, 781, 1141, 741, 1007, 3659, 267, 1412, 291, 658, 330, 2643, 4011, 517, 2558, 604, 17218, 10086, 3357, 538, 13561, 256, 2060, 2695, 880, 344, 3946, 8032, 899, 6801, 267, 713, 9589, 13442, 11461, 741, 3268, 8164, 789, 5185, 14845, 9479, 269, 8625, 267, 789, 16219, 547, 1832, 519, 7746, 3484, 2922, 543, 5150, 585, 3025, 780, 9617, 1287, 267, 3377, 8452, 6031, 602, 2576, 2877, 14849, 6351, 2066, 519, 4262, 267, 538, 513, 1747, 1572, 4516, 269, 589, 6653, 14799, 4941, 547, 2671, 1200, 5172, 11600, 855, 7948, 1405, 1813, 547, 29063, 6067, 6447, 1231, 4929, 3765, 27815, 269, 9453, 11688, 2787, 267, 15776, 2549, 529, 595, 5971, 5060, 24389, 593, 606, 3078, 3460, 1210, 519, 16595, 6174, 2139, 12544, 13743, 29539, 3957, 2274, 30576, 720, 584, 14943, 728, 2439, 26589, 519, 1259, 267, 789, 1558, 1585, 11570, 6340, 1114, 4654, 269, 18641, 267, 7874, 23522, 6026, 873, 5363, 2453, 971, 607, 834, 1692, 616, 596, 8119, 543, 834, 4131, 781, 581, 25097, 10590, 17652, 2614, 267, 15776, 2549, 529, 595, 5971, 5060, 7691, 602, 4352, 7215, 949, 8428, 267, 11505, 7283, 8471, 269, 769, 2132, 585, 741, 11587, 267, 17137, 3838, 8949, 13000, 899, 25308, 21360, 543, 7423, 512, 11301, 269, 962, 636, 2439, 7661, 21945, 538, 4516, 267, 789, 5249, 24091, 7258, 519, 8797, 25548, 565, 1234, 13905, 547, 4739, 513, 3501, 1884, 573, 1774, 585, 519, 562, 7360, 6067, 6447, 1231, 269, 2991, 2395, 4904, 609, 17409, 267, 1565, 267, 543, 32727, 696, 1190, 6980, 267, 519, 5692, 16309, 256, 12267, 2095, 539, 11884, 2899, 811, 267, 8744, 7772, 547, 1312, 1762, 3283, 543, 22242, 7567, 780, 29310, 267, 15776, 2549, 529, 595, 5971, 5060, 9863, 602, 5698, 543, 8990, 666, 7753, 2591, 269, 6787, 7863, 2984, 610, 5807, 4296, 1063, 6082, 267, 4986, 6505, 2989, 741, 14326, 811, 982, 6616, 789, 4547, 8788, 547, 1866, 269, 3245, 1287, 27477, 267, 16382, 8594, 561, 24642, 539, 267, 789, 11542, 4712, 267, 8348, 547, 9718, 2648, 267, 9322, 267, 543, 11505, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 294, 9512, 540, 16403, 518, 643, 1314, 1673, 523, 273, 3644, 13974, 729, 11658, 538, 524, 277, 270, 3607, 2281, 543, 538, 19498, 269, 4856, 549, 4117, 7727, 2472, 543, 4702, 1644, 547, 14809, 267, 11761, 267, 543, 2783, 5464, 1158, 2647, 269, 667, 13873, 476, 6349, 268, 6860, 268, 1220, 280, 616, 741, 1022, 968, 326, 582, 577, 553, 892, 3823, 16475, 519, 3028, 610, 1688, 2401, 593, 513, 7746, 3484, 286, 7454, 5026, 4558, 538, 32488, 611, 6511, 267, 1309, 1107, 586, 27626, 476, 15836, 276, 2164, 585, 5026, 4558, 538, 32488, 611, 6511, 267, 1309, 269, 700, 2045, 807, 476, 1001, 280, 268, 1015, 268, 866, 339, 876, 281, 876, 281, 876, 345, 4055, 1826, 3003, 1753, 270, 2194, 3959, 1826, 16823, 24194, 8383, 919, 476, 273, 5127, 7741, 476, 272, 5918, 27525, 267, 1309, 267, 8087, 2829, 10950, 547, 938, 524, 990, 2088, 1753, 256, 1403, 2599, 568, 3771, 2917, 649, 666, 1592, 873, 607, 3771, 2917, 1673, 822, 1749, 517, 1118, 267, 610, 568, 621, 1945, 3116, 286, 1717, 267, 620, 323, 565, 6547, 10776, 7458, 28492, 6580, 2228, 3135, 1510, 5491, 3556, 8569, 676, 3866, 330, 2643, 4011, 517, 959, 604, 17218, 1291, 609, 5140, 2824, 8481, 547, 476, 2190, 269, 4419, 539, 538, 519, 1476, 539, 4733, 7952, 1282, 519, 3540, 2112, 282, 15818, 282, 9120, 5480, 9794, 538, 2520, 3073, 807, 267, 476, 6942, 277, 268, 11025, 282, 4475, 267, 9583, 28971, 2242, 538, 519, 2707, 1982, 666, 2014, 519, 21855, 3812, 676, 910, 342, 328, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23089, 1315, 2342, 1315, 3943, 18650, 24601, 267, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5712, 1312, 1991, 547, 543, 1175, 1310, 519, 6388, 540, 707, 3301, 267, 519, 13354, 3017, 568, 2731, 6654, 563, 27839, 20811, 16888, 267, 26146, 692, 3383, 1310, 594, 1118, 1250, 1101, 2929, 607, 513, 1158, 11665, 4056, 267, 594, 9153, 547, 24946, 4557, 2600, 547, 1325, 613, 1962, 1807, 256, 1403, 596, 2307, 803, 267, 602, 338, 10464, 1932, 267, 1317, 519, 637, 1175, 1100, 1259, 16740, 723, 1256, 26927, 3139, 827, 1373, 606, 4056, 1354, 594, 3323, 1210, 707, 2979, 1982, 269, 3767, 1955, 1175, 835, 1032, 2476, 689, 22692, 543, 1373, 593, 1250, 1259, 2336, 8624, 22220, 667, 269, 700, 6856, 267, 13698, 692, 2162, 4841, 10010, 609, 782, 5686, 540, 7223, 2042, 1265, 856, 602, 938, 3301, 568, 513, 1272, 1606, 11232, 269, 3371, 616, 519, 3406, 2453, 602, 2221, 781, 13547, 1667, 1031, 547, 1265, 938, 3135, 269, 2052, 596, 1265, 16523, 1851, 873, 2496, 2971, 9612, 2453, 1031, 593, 476, 1001, 272, 268, 4905, 268, 2641, 1384, 1892, 30263, 8660, 1383, 7824, 751, 343, 553, 454, 1892, 6061, 513, 1062, 540, 4834, 593, 30263, 268, 10695, 454, 1892, 7824, 27764, 8660, 454, 1892, 1101, 1931, 5276, 11186, 3830, 5850, 454, 1892, 7941, 8918, 676, 8918, 9498, 454, 1892, 14133, 2985, 476, 9834, 1496, 4118, 316, 3211, 476, 276, 628, 3446, 454, 1892, 8261, 3070, 585, 6310, 2079, 1433, 25229, 514, 454, 1892, 519, 1883, 547, 1565, 7223, 454, 1892, 666, 3114, 3830, 581, 513, 6824, 454, 1892, 575, 7251, 9819, 454, 1892, 6061, 1297, 3270, 454, 1892, 875, 547, 1374, 717, 7374, 1210, 544, 5060, 543, 27861, 454, 1892, 621, 19038, 3363, 1449, 454, 1892, 32545, 543, 10659, 13711, 4118, 454, 1892, 1655, 13591, 7223, 17118, 454, 1892, 27764, 268, 10019, 900, 15975, 3301, 454, 1892, 1062, 540, 3830, 18839, 9498, 454, 1892, 5131, 4569, 12226, 9046, 3752, 591, 959, 30796, 338, 454, 1892, 875, 547, 4194, 27847, 12825, 2042, 454, 1892, 1215, 547, 3503, 513, 27252, 607, 513, 24908, 7089, 454, 1892, 6061, 21800, 4834, 593, 513, 27764, 268, 8660, 910, 339, 11939, 1756, 1946, 993, 1775, 3478, 834, 32401, 4840, 1892, 1018, 568, 3184, 5722, 540, 519, 840, 660, 823, 10689, 7223, 476, 272, 1433, 585, 620, 16342, 454, 1892, 2228, 6498, 2979, 3756, 454, 1892, 620, 828, 3279, 6437, 2979, 26821, 11400, 454, 1892, 1350, 523, 1723, 324, 2979, 840, 531, 3455, 3630, 454, 1892, 6061, 585, 513, 4756, 609, 2789, 5072, 454, 1892, 2979, 3815, 9498, 2593, 454, 1892, 562, 903, 3044, 3473, 14121, 3419, 476, 273, 5806, 5364, 454, 1892, 4466, 519, 13306, 3597, 267, 3992, 454, 1892, 3017, 540, 10945, 5258, 3017, 540, 5072, 454, 1892, 2021, 815, 9409, 4542, 454, 1892, 21344, 11906, 17817, 3752, 591, 454, 1892, 2328, 6404, 1297, 607, 513, 8918, 454, 1892, 20870, 3446, 2979, 3014, 593, 28809, 4009, 5072, 454, 1892, 4756, 543, 6824, 9498, 454, 1892, 1972, 894, 2055, 585, 8454, 538, 13004, 454, 1892, 590, 19414, 7223, 476, 273, 1449, 2626, 1883, 454, 1892, 29329, 10789, 17118, 2228, 454, 1892, 27764, 268, 10019, 900, 15975, 454, 1892, 875, 547, 798, 6871, 593, 570, 268, 10695, 454, 1892, 1383, 6204, 576, 3009, 609, 28162, 547, 476, 1015, 9981, 454, 1892, 19038, 26623, 1372, 2835, 1341, 1863, 454, 1892, 5410, 16265, 847, 25092, 543, 19147, 17773, 454, 1892, 875, 547, 2995, 952, 606, 3830, 568, 513, 1599, 454, 1892, 6460, 1899, 531, 25451, 547, 25451, 454, 1892, 575, 22396, 585, 476, 10219, 543, 476, 24496, 454, 1892, 30233, 3756, 454, 1892, 7223, 5021, 5934, 2418, 5276, 454, 1892, 2979, 3992, 1544, 4336, 3815, 454, 1892, 4645, 12125, 454, 1892, 737, 636, 517, 2979, 1087, 19298, 454, 1892, 27764, 476, 10695, 900, 15975, 28162, 454, 1892, 5173, 4009, 25451, 2228, 454, 1892, 10434, 10789, 10819, 454, 1892, 700, 13967, 540, 15821, 4082, 454, 1892, 4194, 585, 11359, 1931, 3830, 454, 1892, 4001, 2027, 15821, 7269, 454, 1892, 1847, 3597, 14009, 547, 19362, 454, 1892, 3597, 9498, 609, 8454, 454, 1892, 10659, 476, 278, 32545, 3758, 6943, 281, 533, 696, 454, 1892, 12270, 4009, 5072, 609, 4756, 454, 1892, 27764, 476, 8660, 4194, 2789, 552, 336, 333, 454, 1892, 594, 8582, 288, 10789, 589, 696, 3363, 4530, 454, 1892, 666, 26732, 4194, 535, 3287, 264, 2042, 888, 1892, 22217, 4328, 21929, 25285, 454, 1892, 2571, 4118, 620, 613, 1962, 1807, 454, 1892, 4009, 3597, 540, 27764, 268, 10019, 9498, 454, 1892, 1138, 335, 4328, 8454, 9498, 454, 1892, 15821, 4082, 585, 17693, 5669, 3252, 454, 1892, 476, 277, 628, 3446, 9256, 899, 2474, 3211, 454, 1892, 875, 547, 1265, 519, 2547, 1455, 14009, 454, 1892, 30263, 268, 10019, 7132, 900, 15975, 454, 1892, 7223, 17981, 9256, 899, 2474, 454, 1892, 3756, 540, 17006, 543, 16265, 24219, 15474, 543, 20134, 10606, 454, 1892, 6201, 540, 4569, 2558, 14746, 454, 1892, 875, 798, 1775, 946, 513, 9498, 547, 2490, 8454, 547, 17447, 454, 1892, 4946, 543, 18946, 9981, 2259, 1449, 2228, 454, 1892, 28809, 27847, 23055, 454, 2776, 341, 8921 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1108, 910, 4197, 4307, 1108, 4016, 547, 4974, 13350, 2621, 899, 15496, 267, 2927, 1746, 267, 543, 6978, 6749, 2429, 5993, 9979, 269, 9866, 6326, 13796, 7648, 20674, 538, 1114, 11868, 2147, 23302, 2249, 693, 8795, 5933, 540, 1646, 563, 323, 269, 12525, 16860, 910, 4804, 3454, 21978, 8760, 25327, 6908, 6050, 1344, 23023, 950, 17874, 22265, 8100, 269, 11683, 16034, 2874, 540, 6389, 267, 10806, 267, 18105, 636, 267, 1362, 267, 1931, 267, 1920, 267, 12593, 267, 543, 2249, 780, 4089, 476, 272, 269, 275, 281, 15636, 1415, 8249, 543, 13088, 692, 19931, 4199, 2359, 3322, 14139, 6325, 2645, 543, 16107, 18019, 3332, 547, 1489, 1565, 3646, 1384, 320, 269, 12197, 20929, 910, 8564, 3593, 7888, 10274, 3358, 547, 6237, 18508, 10023, 1164, 7779, 12383, 267, 11147, 267, 543, 11673, 269, 6333, 3059, 3156, 5356, 7317, 3406, 3252, 543, 15870, 10974, 563, 321, 269, 6732, 18877, 910, 12160, 622, 538, 2228, 15473, 1141, 4810, 9439, 2671, 4030, 267, 2626, 2055, 267, 543, 1683, 5955, 593, 1541, 5874, 269, 11408, 13182, 7682, 687, 1500, 676, 2043, 1996, 3964, 8128, 563, 322, 269, 10871, 20226, 910, 29934, 11925, 267, 29468, 267, 610, 11461, 15211, 3366, 676, 14468, 4966, 945, 4865, 15982, 1702, 540, 6237, 8134, 269, 32730, 3255, 5512, 8108, 21927, 3347, 20009, 547, 1279, 3856, 5578, 11601, 563, 323, 269, 4173, 321, 7559, 910, 16731, 10786, 7559, 8027, 12873, 15013, 3015, 585, 6514, 269, 22414, 2079, 4396, 5809, 8223, 543, 13976, 6015, 538, 2123, 5759, 780, 1103, 5758, 267, 25061, 4564, 513, 15491, 1935, 2509, 6940, 267, 9716, 267, 543, 3140, 27527, 269, 14146, 532, 3280, 8446, 2994, 16135, 538, 4909, 27386, 3741, 12366, 3278, 3106, 543, 18399, 6508, 689, 21599, 538, 2067, 8916, 31523, 609, 3552, 1196, 17156, 269, 3414, 30190, 1353, 267, 16994, 8343, 267, 543, 16614, 5872, 267, 14971, 585, 6162, 7832, 2390, 16180, 15322, 14637, 1560, 267, 2247, 267, 543, 6891, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 5353, 4038, 12551, 645, 7159, 4813, 10358, 454, 13014, 2659, 13574, 12551, 645, 7159, 454, 290, 2255, 811, 1299, 8273, 454, 339, 709, 339, 267, 3032, 8127, 267, 543, 15790, 563, 10000, 547, 476, 2004, 260, 1055, 5697, 2371, 454, 2691, 938, 25433, 3766, 520, 1877, 337, 11937, 10480, 593, 2371, 789, 1152, 1185, 519, 2249, 602, 941, 3395, 1472, 873, 269, 1635, 8939, 519, 811, 5493, 23534, 543, 11327, 2371, 938, 9930, 19631, 11937, 941, 2111, 547, 7017, 543, 1376, 519, 1184, 799, 3366, 547, 519, 1426, 7031, 649, 1631, 1332, 20749, 543, 538, 938, 10651, 269, 634, 3312, 2371, 616, 1869, 856, 972, 609, 1082, 1866, 543, 621, 568, 2009, 547, 979, 25061, 585, 873, 547, 3132, 513, 17705, 7594, 269, 4746, 1354, 519, 2518, 2344, 585, 1426, 267, 972, 941, 711, 865, 1082, 5388, 1472, 538, 519, 5614, 865, 25061, 585, 4195, 21364, 2208, 5280, 547, 6445, 519, 7934, 269, 634, 14564, 4547, 16140, 26744, 609, 873, 585, 713, 3483, 269, 5221, 789, 616, 711, 519, 16916, 3099, 519, 17580, 2694, 616, 2356, 4130, 865, 789, 2154, 811, 16276, 942, 982, 741, 30042, 30980, 269, 1280, 1383, 267, 7256, 2142, 564, 568, 519, 5169, 1807, 540, 10419, 783, 838, 4883, 778, 543, 7256, 918, 1446, 519, 2062, 14725, 333, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 18904, 13543, 1315, 1280, 1645, 1315, 8187, 3798, 17156, 22384, 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, 2878, 16215, 281, 24531, 19336, 18903, 4373, 8702, 547, 513, 4241, 1158, 540, 2338, 543, 3270, 256, 1284, 616, 827, 547, 7832, 593, 606, 3078, 3460, 998, 19336, 7869, 267, 513, 2027, 7936, 540, 7223, 602, 786, 6338, 596, 547, 513, 1007, 1259, 540, 3168, 693, 2979, 269, 1411, 1522, 4898, 267, 1018, 616, 14290, 286, 4270, 267, 789, 616, 3274, 14328, 14249, 540, 2338, 11231, 883, 9343, 543, 9587, 269, 5213, 1406, 5855, 952, 621, 4992, 7294, 1107, 649, 9153, 621, 779, 4443, 982, 596, 1589, 256, 1635, 1620, 14290, 267, 649, 666, 12260, 11580, 3297, 1950, 1949, 899, 2780, 12449, 267, 6061, 1804, 5036, 540, 4834, 267, 543, 7421, 5121, 269, 1924, 10544, 707, 3206, 11503, 543, 1577, 781, 4685, 1318, 538, 2439, 14945, 1262, 8893, 476, 272, 281, 20821, 4223, 4631, 910, 3776, 1715, 14886, 256, 4373, 5331, 25786, 2338, 538, 513, 7470, 609, 9343, 543, 9587, 269, 2334, 781, 4010, 1018, 513, 5119, 5654, 899, 256, 2913, 781, 1376, 609, 513, 2241, 1383, 912, 3499, 322, 1087, 454, 476, 513, 476, 536, 454, 476, 524, 476, 546, 454, 8199, 1103, 938, 2013, 267, 972, 616, 1079, 9343, 630, 1817, 714, 7267, 3515, 264, 543, 1079, 9587, 630, 3200, 673, 3515, 1040, 901, 2306, 621, 513, 476, 273, 343, 273, 5119, 1317, 972, 616, 476, 273, 2053, 476, 273, 815, 476, 275, 2698, 5624, 610, 2609, 269, 3962, 3693, 4564, 513, 1297, 267, 4756, 267, 610, 1871, 5116, 3330, 891, 10945, 269, 1280, 3236, 267, 649, 1223, 723, 912, 3499, 5658, 6658, 454, 476, 476, 274, 476, 476, 276, 454, 476, 476, 277, 476, 476, 279, 454, 8199, 2080, 267, 2387, 320, 12452, 2387, 321, 12452, 2387, 322, 12452, 543, 2387, 323, 319, 616, 8719, 676, 4890, 2418, 281, 476, 274, 267, 476, 276, 267, 476, 277, 267, 543, 476, 279, 6606, 269, 14168, 890, 6470, 267, 3884, 1405, 621, 286, 3767, 2119, 2870, 707, 1378, 476, 273, 343, 273, 5119, 2630, 1384, 3499, 5658, 6658, 454, 476, 6449, 567, 6449, 454, 476, 6449, 567, 6449, 454, 8199, 15124, 2816, 256, 5457, 267, 1175, 899, 1022, 824, 6310, 1843, 267, 14290, 2097, 538, 1114, 5546, 543, 7306, 1932, 1107, 930, 949, 723, 811, 9343, 610, 9587, 982, 1866, 269, 1809, 1100, 2339, 875, 2462, 610, 1507, 267, 782, 14290, 2671, 835, 1455, 8984, 282, 789, 948, 721, 10891, 1344, 18928, 780, 14945, 1262, 8893, 476, 273, 281, 15051, 1133, 548, 14414, 256, 4373, 3086, 602, 649, 917, 1018, 14290, 1413, 899, 267, 1577, 781, 1451, 875, 547, 1404, 1472, 609, 873, 269, 3807, 899, 2834, 2338, 267, 649, 666, 1039, 543, 9062, 14290, 1927, 269, 1717, 267, 972, 616, 1808, 3652, 585, 3257, 865, 799, 649, 991, 547, 1246, 5702, 780, 265, 3849, 1288, 15846, 1677, 1039, 1079, 14290, 267, 789, 1590, 723, 519, 1482, 7516, 630, 338, 877, 1297, 540, 9343, 543, 9587, 1040, 15439, 2322, 267, 2427, 8386, 20933, 267, 4946, 7222, 13366, 3947, 519, 2040, 269, 6744, 856, 713, 1383, 1141, 649, 1039, 1079, 476, 273, 343, 273, 14290, 589, 543, 645, 1384, 3499, 5658, 6658, 454, 288, 1341, 645, 815, 3097, 314, 513, 476, 536, 9948, 1341, 1496, 552, 476, 535, 9948, 567, 9847, 567, 1496, 513, 266, 324, 476, 536, 266, 325, 9948, 672, 2999, 734, 5410, 7127, 676, 7127, 23276, 454, 314, 524, 476, 546, 9948, 567, 1496, 575, 476, 554, 9948, 567, 1496, 524, 266, 326, 476, 546, 266, 327, 9948, 672, 8528, 7078, 281, 1403, 589, 815, 1496, 476, 272, 476, 476, 273, 476, 3910, 645, 815, 1496, 476, 274, 476, 476, 275, 476, 3910, 1287, 589, 1341, 645, 815, 1496, 476, 272, 266, 274, 476, 476, 273, 266, 275, 9948, 815, 1496, 476, 275, 476, 476, 277, 23378, 7884, 265, 25648, 6473, 15846, 5564, 28745, 14290, 3340, 3063, 3007, 269, 898, 3085, 1405, 8209, 1611, 14921, 1169, 6292, 540, 13366, 855, 2864, 7900, 513, 12297, 1587, 1063, 9343, 540, 519, 1101, 5119, 543, 9587, 540, 519, 2034, 269, 5047, 267, 1152, 8691, 5473, 513, 4737, 5119, 609, 513, 6241, 5119, 2164, 538, 513, 2582, 1297, 269, 1879, 14921, 1079, 4009, 14290, 267, 741, 9753, 1590, 6474, 269, 3371, 781, 606, 14745, 1210, 476, 273, 343, 273, 14290, 623, 543, 1627, 1384, 3499, 5658, 6658, 454, 303, 2608, 1627, 815, 3097, 314, 533, 476, 7117, 9948, 2608, 1496, 678, 476, 521, 9948, 825, 9847, 567, 1496, 929, 266, 18091, 476, 27666, 266, 336, 337, 9948, 672, 2999, 734, 9524, 12297, 2472, 19794, 454, 314, 579, 476, 642, 9948, 567, 1496, 512, 476, 530, 9948, 567, 1496, 2588, 266, 5271, 476, 579, 341, 266, 26404, 9948, 11434, 692, 4913, 267, 3314, 602, 1931, 6927, 1934, 7429, 1840, 256, 12791, 623, 304, 9881, 510, 1627, 303, 3622, 563, 7884, 24876, 621, 513, 8929, 1631, 1384, 2252, 623, 815, 1496, 476, 272, 476, 476, 273, 3910, 1627, 815, 1496, 476, 274, 476, 476, 275, 6902, 476, 276, 476, 476, 277, 476, 3910, 1265, 623, 304, 543, 1627, 303, 269, 1548, 798, 596, 5469, 2496, 14945, 1262, 8893, 476, 274, 281, 14572, 7010, 6145, 8550, 6969, 256, 4373, 12385, 4631, 5963, 19542, 950, 7231, 609, 2789, 21800, 4834, 1634, 607, 5276, 1949, 269, 5502, 540, 5104, 31227, 4632, 16924, 267, 14290, 1450, 721, 547, 2099, 543, 4194, 971, 1949, 12461, 14688, 269, 6333, 713, 2241, 1062, 540, 5276, 4834, 1384, 3499, 5658, 6658, 454, 273, 343, 1341, 586, 815, 476, 278, 454, 274, 343, 910, 586, 815, 476, 273, 454, 8199, 2171, 666, 27682, 713, 1210, 5119, 10035, 607, 5205, 1384, 3499, 5658, 6658, 454, 347, 476, 273, 476, 476, 272, 1923, 1923, 1535, 1923, 567, 1923, 476, 476, 278, 11406, 347, 476, 274, 910, 272, 1923, 1923, 586, 1923, 815, 1923, 476, 476, 273, 11406, 8199, 3528, 7311, 1978, 2553, 267, 649, 666, 2981, 713, 21284, 5119, 883, 1945, 12863, 2394, 649, 3914, 519, 3070, 269, 13773, 22934, 585, 2104, 4245, 1141, 649, 2263, 713, 3532, 3498, 2417, 2439, 14945, 6546, 20147, 938, 4367, 547, 19336, 7869, 269, 2060, 2259, 267, 596, 3513, 1294, 875, 11684, 543, 1187, 2324, 609, 14290, 666, 581, 269, 5901, 3695, 267, 1832, 15819, 267, 543, 1034, 11932, 267, 2972, 26500, 519, 9059, 1369, 4569, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2304, 9986, 8615, 19248, 1380, 5652, 6874, 15957, 17976, 814, 1044, 4371, 693, 1142, 594, 5746, 4456, 6837, 267, 2094, 594, 5746, 4456, 476, 1220, 278, 267, 896, 519, 513, 22273, 1182, 540, 519, 4139, 7027, 593, 11633, 543, 11930, 9119, 563, 1607, 8956, 568, 24705, 1042, 2390, 513, 4807, 945, 814, 1500, 14222, 7418, 538, 4294, 6128, 543, 1315, 528, 3621, 19106, 269, 634, 2012, 540, 713, 11000, 17188, 24744, 547, 519, 3965, 540, 9986, 8615, 19248, 1380, 5652, 6874, 15957, 267, 4171, 3621, 9371, 568, 538, 1312, 7811, 543, 4294, 6128, 267, 543, 4171, 960, 28837, 519, 7907, 547, 581, 6444, 563, 30469, 8615, 19248, 1380, 5652, 6874, 15957, 781, 9371, 568, 3486, 267, 607, 1200, 4876, 838, 10165, 1312, 2342, 543, 3345, 3013, 269, 4173, 1382, 5280, 547, 3715, 5276, 7223, 543, 5119, 3069, 607, 513, 1382, 1858, 538, 6128, 267, 543, 1200, 9867, 20499, 267, 1519, 7158, 538, 1312, 24243, 543, 2229, 20682, 267, 1305, 606, 1383, 585, 4294, 22697, 269, 4173, 1489, 543, 19015, 540, 7820, 2021, 22697, 568, 27145, 15422, 538, 519, 2146, 563, 763, 3126, 3459, 607, 606, 2680, 693, 594, 5746, 4456, 476, 1220, 278, 267, 23032, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30467, 7869, 257, 607, 851, 540, 834, 21316, 30388, 1315, 10789, 1315, 12430, 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, 14400, 8890, 560, 30142, 1431, 692, 8893, 281, 24531, 19196, 1746, 19662, 609, 6355, 769, 3179, 4721, 692, 7072, 912, 5331, 3478, 519, 4960, 547, 960, 585, 513, 2754, 596, 23507, 1247, 1869, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 3403, 24624, 318, 663, 6958, 785, 3799, 267, 547, 6958, 785, 2187, 825, 1319, 815, 11713, 825, 1327, 815, 910, 272, 267, 910, 272, 454, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 4737, 815, 3403, 14061, 20889, 4590, 1038, 952, 547, 6958, 785, 538, 4737, 912, 2018, 1327, 815, 630, 328, 267, 4737, 28827, 263, 1729, 6958, 785, 4917, 1038, 1319, 6910, 21405, 994, 825, 2132, 1319, 267, 1327, 7531, 3698, 3977, 24624, 9852, 339, 343, 2187, 825, 4737, 815, 7003, 9852, 339, 343, 994, 825, 897, 815, 7003, 9852, 339, 343, 314, 271, 7481, 825, 585, 1775, 538, 2039, 21405, 2187, 1038, 585, 795, 538, 2039, 263, 3712, 2187, 2018, 1820, 9852, 339, 343, 5157, 6012, 329, 3910, 1439, 8782, 30386, 1038, 1820, 30800, 3698, 2981, 5091, 328, 21192, 263, 3901, 267, 4287, 267, 1327, 2187, 825, 585, 546, 538, 4287, 912, 1038, 1775, 815, 1327, 314, 271, 2639, 1038, 795, 815, 1327, 314, 272, 2639, 1038, 1247, 476, 271, 10922, 1775, 2999, 7003, 263, 3901, 264, 543, 476, 271, 10922, 795, 2999, 7003, 263, 3901, 2187, 2018, 5119, 5157, 6012, 329, 316, 815, 1412, 343, 7055, 2018, 1775, 6834, 546, 314, 271, 2639, 2018, 795, 6834, 546, 314, 272, 6540, 825, 5119, 314, 289, 9078, 6327, 314, 271, 316, 6012, 289, 9078, 6327, 314, 272, 14963, 815, 1412, 289, 262, 7531, 258, 10790, 2562, 11550, 16165, 4456, 454, 11133, 15058, 318, 4900, 815, 476, 279, 454, 2745, 3488, 8923, 3403, 519, 476, 279, 343, 279, 5119, 5073, 9795, 267, 645, 9078, 6327, 815, 3403, 24624, 318, 663, 6958, 785, 16325, 15058, 318, 4900, 267, 1412, 289, 5073, 2745, 10797, 604, 645, 9078, 6327, 11203, 11196, 272, 267, 910, 272, 2187, 825, 8846, 815, 27883, 272, 267, 476, 272, 1070, 630, 272, 267, 910, 272, 1070, 11196, 272, 267, 476, 272, 1070, 11196, 272, 267, 910, 272, 264, 6540, 825, 2981, 5091, 328, 21192, 263, 9795, 267, 8846, 267, 645, 9078, 6327, 994, 12828, 912, 825, 1820, 2891, 262, 289, 262, 568, 711, 1336, 15419, 16059, 24624, 263, 9795, 994, 0, 5814, 556, 454, 5814, 19523, 7531, 3698, 19472, 318, 7483, 20311, 263, 1301, 318, 7483, 19571, 2187, 825, 8173, 825, 717, 1115, 513, 6049, 1297, 543, 7024, 6936, 952, 519, 3898, 540, 519, 1297, 568, 29515, 454, 825, 543, 8771, 6382, 692, 825, 30352, 454, 825, 13322, 1029, 454, 825, 6186, 318, 7483, 19571, 2433, 1193, 454, 1038, 519, 6049, 1297, 607, 513, 5569, 692, 825, 16849, 454, 825, 12223, 13090, 454, 825, 536, 944, 454, 1038, 6936, 267, 952, 519, 1297, 621, 3893, 4959, 513, 4570, 29515, 6049, 1297, 3898, 454, 1038, 8771, 267, 952, 519, 1297, 621, 3893, 4959, 10691, 513, 4570, 18433, 807, 6049, 1297, 3898, 454, 825, 29185, 825, 8173, 825, 1152, 476, 4649, 267, 476, 6507, 267, 476, 11011, 267, 476, 7176, 267, 476, 4200, 11346, 2275, 3941, 616, 2016, 538, 519, 6780, 454, 825, 649, 8263, 602, 476, 876, 268, 876, 268, 876, 568, 513, 4570, 6049, 1297, 454, 825, 29185, 825, 3652, 815, 27210, 2018, 1412, 271, 286, 262, 476, 1948, 972, 1522, 610, 1522, 711, 581, 513, 4642, 1354, 519, 11346, 2275, 1712, 454, 2018, 1412, 263, 4649, 347, 6507, 347, 11011, 347, 7176, 347, 4200, 264, 262, 476, 1948, 11346, 2275, 3941, 454, 2018, 1412, 314, 910, 316, 286, 262, 476, 1948, 972, 1522, 610, 1522, 711, 581, 2901, 513, 2230, 610, 513, 21686, 1063, 519, 11346, 2275, 1712, 543, 519, 1297, 454, 2018, 1412, 3488, 454, 7386, 678, 262, 315, 323, 346, 277, 348, 262, 476, 1948, 2901, 513, 1297, 1510, 1022, 5624, 610, 546, 10449, 454, 3546, 1412, 347, 7055, 7386, 678, 262, 315, 323, 346, 274, 22042, 910, 316, 315, 323, 346, 274, 348, 262, 476, 1948, 610, 513, 1297, 538, 1412, 11277, 268, 27174, 262, 610, 1412, 11277, 476, 27174, 262, 3898, 454, 3546, 1412, 347, 7055, 7386, 678, 262, 315, 323, 346, 273, 348, 1422, 323, 346, 273, 348, 1422, 323, 346, 273, 348, 262, 476, 1948, 610, 513, 1297, 538, 1412, 1321, 476, 4097, 476, 6321, 262, 3898, 454, 3546, 1412, 347, 7055, 7386, 678, 262, 315, 323, 346, 273, 32757, 323, 346, 273, 32757, 323, 346, 273, 348, 262, 476, 1948, 610, 513, 1297, 538, 1412, 1321, 268, 4097, 268, 6321, 262, 3898, 454, 2018, 1412, 264, 7055, 825, 3738, 476, 1948, 5469, 602, 1412, 1321, 268, 4097, 476, 6321, 262, 543, 1412, 1321, 476, 4097, 268, 6321, 262, 12043, 616, 711, 2469, 547, 581, 4570, 692, 825, 2132, 556, 269, 21459, 332, 2255, 16868, 2737, 267, 6186, 318, 7483, 19571, 9239, 3698, 19472, 318, 16942, 263, 5417, 816, 2187, 825, 8173, 825, 717, 1115, 606, 4757, 2232, 543, 7024, 6936, 952, 621, 781, 513, 4570, 4757, 3898, 454, 825, 543, 8771, 6382, 692, 825, 30352, 454, 825, 13322, 1029, 454, 825, 2232, 2433, 1193, 454, 1038, 519, 4757, 2232, 607, 513, 5569, 692, 825, 16849, 454, 825, 12223, 13090, 454, 825, 536, 944, 454, 1038, 6936, 267, 952, 519, 2232, 4959, 538, 513, 4570, 4757, 3898, 454, 1038, 8771, 267, 952, 519, 2232, 4959, 10691, 538, 513, 4570, 4757, 3898, 454, 825, 29185, 825, 8173, 825, 6743, 909, 3332, 912, 825, 4179, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 15828, 3869, 22812, 11258, 454, 825, 4179, 2517, 523, 25769, 3820, 28293, 270, 10387, 841, 318, 5417, 816, 258, 306, 9321, 1314, 454, 825, 4179, 2517, 523, 25769, 3820, 28293, 26260, 739, 4067, 258, 306, 9321, 1314, 454, 825, 4179, 2517, 4178, 269, 648, 11035, 2593, 15828, 3869, 270, 1613, 270, 10585, 7721, 335, 11306, 2275, 809, 1504, 270, 7818, 13893, 280, 3953, 278, 3393, 274, 270, 577, 6860, 338, 6021, 11258, 692, 825, 901, 6780, 3635, 568, 3908, 547, 1152, 835, 2834, 4082, 3976, 454, 825, 10396, 14877, 590, 26041, 5508, 5990, 661, 7246, 6579, 966, 2752, 8656, 16739, 25758, 966, 3201, 2839, 28714, 15760, 24199, 661, 7246, 6579, 966, 3201, 2839, 2969, 3036, 454, 825, 29185, 825, 3652, 815, 27210, 1038, 1948, 519, 4757, 2232, 568, 513, 1412, 29985, 12268, 287, 3256, 664, 262, 4070, 454, 1038, 1948, 6389, 568, 513, 1412, 9816, 4306, 2793, 10933, 318, 25278, 5085, 6745, 641, 318, 24038, 318, 3256, 664, 262, 4070, 552, 3052, 269, 1412, 326, 21166, 2593, 7055, 1038, 1412, 3488, 454, 2018, 678, 21948, 286, 284, 269, 346, 272, 267, 5038, 348, 287, 269, 346, 272, 267, 14838, 4151, 264, 262, 476, 1948, 12145, 2199, 12268, 547, 476, 5038, 543, 6389, 547, 476, 14838, 3197, 454, 2018, 678, 262, 317, 314, 23373, 7268, 9385, 12101, 281, 20939, 315, 283, 315, 285, 315, 287, 315, 24560, 316, 315, 26142, 338, 316, 22065, 476, 1948, 2199, 12268, 1510, 10530, 666, 1331, 4888, 312, 8025, 5058, 645, 7473, 8946, 2464, 292, 8863, 2752, 16898, 8991, 454, 14030, 17264, 1948, 891, 3197, 616, 1152, 4847, 3330, 513, 20926, 2199, 12268, 630, 5408, 2630, 994, 2018, 1412, 3488, 454, 3546, 678, 262, 315, 269, 286, 262, 4449, 19930, 1948, 1482, 4806, 666, 3136, 1310, 513, 12297, 267, 1079, 610, 811, 15654, 454, 3546, 678, 262, 314, 23373, 7268, 9385, 12101, 281, 20939, 315, 283, 315, 285, 315, 287, 315, 24560, 316, 315, 26142, 338, 316, 22065, 476, 1948, 15956, 616, 711, 4847, 267, 693, 25755, 835, 824, 1915, 1310, 519, 12297, 454, 2018, 1412, 12684, 262, 4449, 3546, 1948, 585, 476, 271, 610, 811, 2053, 454, 1038, 1412, 347, 7055, 2018, 678, 21948, 286, 284, 269, 346, 272, 267, 5780, 348, 287, 269, 346, 272, 267, 14838, 4151, 264, 262, 476, 1948, 12145, 2199, 12268, 547, 476, 5038, 630, 1410, 6984, 10530, 264, 543, 6389, 547, 476, 14838, 3197, 454, 2018, 678, 262, 315, 257, 7055, 3546, 678, 262, 314, 317, 11138, 19312, 265, 262, 476, 1948, 2199, 12268, 666, 581, 4376, 952, 2854, 1063, 10530, 267, 4849, 1412, 32075, 543, 1412, 257, 7055, 2018, 678, 262, 315, 257, 262, 19930, 1948, 585, 519, 19160, 540, 713, 6780, 594, 723, 16866, 519, 3652, 585, 513, 20926, 2199, 12268, 454, 1038, 1412, 264, 262, 3546, 1948, 585, 811, 9623, 827, 7687, 540, 519, 2199, 12268, 538, 10530, 979, 547, 28957, 5018, 1657, 454, 825, 1412, 287, 7055, 1038, 678, 262, 314, 320, 22271, 288, 19053, 315, 323, 316, 22065, 19930, 1948, 32764, 4306, 2793, 10933, 318, 25278, 5085, 568, 513, 4999, 540, 21229, 534, 10179, 923, 543, 519, 3834, 1156, 454, 1038, 1412, 3488, 454, 2018, 678, 262, 24560, 268, 320, 22271, 288, 19053, 315, 323, 30297, 262, 17264, 1948, 4849, 621, 27114, 31415, 5254, 11286, 10758, 13673, 291, 609, 513, 3834, 1156, 454, 2018, 678, 262, 314, 320, 22271, 288, 19053, 315, 323, 316, 22065, 25639, 1948, 693, 2547, 835, 21229, 534, 10179, 545, 1915, 1310, 3834, 1156, 454, 1038, 1412, 12684, 262, 7386, 1948, 585, 476, 271, 610, 811, 2053, 454, 1038, 1412, 3488, 454, 2018, 678, 262, 315, 9538, 7386, 1948, 519, 32764, 4306, 2793, 10933, 318, 25278, 5085, 4806, 7368, 1310, 513, 12297, 267, 1079, 610, 811, 15654, 454, 2018, 678, 262, 314, 320, 22271, 288, 19053, 315, 323, 316, 22065, 19930, 1948, 15956, 616, 711, 4847, 267, 693, 2547, 835, 824, 1915, 1310, 519, 12297, 454, 2018, 1412, 3488, 454, 3546, 678, 262, 24560, 268, 320, 22271, 288, 19053, 315, 323, 30297, 7055, 3546, 678, 262, 314, 320, 22271, 288, 19053, 315, 323, 316, 22065, 19930, 1948, 693, 2547, 835, 21229, 534, 10179, 545, 1915, 1310, 3834, 1156, 454, 2018, 1412, 12684, 262, 7386, 1948, 585, 476, 271, 610, 811, 2053, 454, 1038, 1412, 12684, 262, 7386, 1948, 585, 476, 271, 610, 811, 2053, 454, 825, 678, 262, 315, 25692, 1038, 678, 262, 8443, 320, 22271, 288, 19053, 31765, 273, 267, 16585, 262, 476, 1948, 1283, 318, 24038, 318, 3256, 664, 4408, 630, 324, 3052, 269, 1547, 1260, 1547, 3073, 1547, 6339, 264, 616, 1079, 610, 811, 3197, 1279, 454, 4449, 16875, 1948, 519, 1412, 1723, 262, 538, 29717, 1723, 16896, 262, 568, 17411, 538, 519, 3009, 2000, 1149, 1063, 1412, 287, 262, 543, 678, 262, 315, 9538, 1318, 1657, 454, 825, 25589, 825, 1948, 519, 5021, 540, 476, 8287, 1915, 20159, 540, 1142, 32764, 4306, 2793, 10933, 318, 25278, 5085, 568, 711, 24019, 609, 713, 556, 613, 343, 454, 825, 1948, 855, 2949, 476, 14838, 1915, 6389, 20159, 4959, 24019, 692, 825, 2132, 556, 269, 21459, 332, 2255, 16868, 2737, 267, 2232, 9239, 3698, 19472, 10734, 549, 12027, 263, 12252, 267, 1871, 22561, 267, 2608, 267, 2638, 318, 604, 318, 12252, 318, 1410, 1235, 25716, 2187, 825, 8173, 825, 717, 1115, 513, 1871, 543, 513, 3898, 1826, 543, 16493, 2436, 454, 825, 519, 1871, 568, 513, 4570, 3236, 540, 602, 3898, 1826, 563, 825, 4746, 666, 2638, 2436, 513, 3898, 1826, 630, 12252, 264, 6818, 563, 692, 825, 30352, 454, 825, 13322, 1029, 454, 825, 4971, 2433, 1193, 454, 1038, 519, 3898, 1826, 547, 19472, 519, 1871, 1996, 454, 825, 1871, 2433, 1193, 267, 18593, 454, 1038, 519, 1871, 547, 581, 24019, 454, 825, 2638, 318, 604, 318, 12252, 318, 1410, 1235, 2433, 536, 944, 267, 18593, 454, 1038, 1031, 950, 10992, 2436, 519, 4971, 6818, 692, 825, 16849, 454, 825, 12223, 13090, 454, 825, 7183, 454, 1038, 901, 1599, 1152, 16493, 950, 2638, 318, 604, 318, 12252, 318, 1410, 1235, 815, 8771, 454, 825, 536, 944, 454, 1038, 6936, 267, 952, 2016, 4971, 6818, 454, 1038, 8771, 267, 952, 2016, 4971, 11298, 2464, 10691, 2291, 454, 1038, 713, 1568, 1152, 952, 2638, 318, 604, 318, 12252, 318, 1410, 1235, 815, 6936, 454, 825, 29185, 825, 12981, 815, 13634, 1038, 1412, 16942, 9166, 630, 20777, 622, 318, 16942, 267, 1412, 16942, 2232, 262, 13211, 1038, 1412, 7483, 20311, 9166, 630, 20777, 622, 318, 7483, 20311, 267, 1412, 30265, 523, 1014, 6049, 1297, 5073, 825, 7684, 692, 825, 952, 2638, 318, 604, 318, 12252, 318, 1410, 1235, 912, 1038, 2132, 4971, 538, 12981, 692, 825, 2119, 912, 1038, 24019, 815, 12981, 314, 12252, 6012, 271, 28488, 7407, 994, 1038, 11249, 815, 12981, 314, 12252, 6012, 272, 2639, 825, 4849, 6206, 13286, 912, 1038, 1820, 3488, 5591, 971, 4971, 26142, 333, 5073, 1038, 2132, 692, 825, 952, 24019, 912, 1038, 1820, 6600, 262, 312, 2464, 267, 713, 4959, 513, 4570, 2715, 8971, 1154, 348, 3898, 14826, 5073, 825, 3116, 912, 1038, 1820, 6600, 262, 5591, 267, 713, 4959, 10691, 513, 4570, 2715, 8971, 1154, 348, 3898, 14826 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 316, 6911, 7445, 6234, 815, 1496, 476, 272, 266, 279, 320, 1341, 476, 2190, 320, 317, 273, 1341, 476, 3953, 320, 317, 274, 1341, 476, 1626, 320, 317, 275, 9948, 1422, 9392, 1496, 476, 3953, 268, 3199, 320, 266, 3199, 320, 317, 273, 910, 476, 2412, 320, 317, 274, 1341, 476, 1015, 320, 317, 275, 910, 513, 317, 276, 9948, 6911, 7445, 6234, 1422, 11004, 1150, 259, 11664, 540, 4399, 6234, 513, 317, 275, 815, 476, 1015, 1341, 630, 279, 7565, 268, 2412, 264, 1341, 630, 2190, 7565, 3199, 264, 1341, 630, 3953, 7565, 268, 3199, 264, 1341, 630, 1626, 7565, 3953, 22491, 7445, 6234, 815, 476, 1015, 910, 476, 17168, 1341, 476, 4572, 271, 910, 476, 16348, 271, 1341, 476, 24423, 6911, 7445, 6234, 815, 910, 476, 275, 4343, 6911, 7445, 6234, 8607, 6911, 9223, 476, 2767, 281, 769, 519, 7269, 540, 4399, 6234, 630, 272, 21147, 8203, 333, 259, 519, 23481, 14170, 540, 1614, 15654, 2474, 616, 6606, 4399, 6234, 476, 13136, 267, 476, 275, 4817, 259, 543, 4399, 6234, 476, 8064, 273, 2073, 259, 22772, 519, 1871, 540, 4399, 6234, 562, 16859, 4131, 519, 15654, 2474, 581, 4399, 6234, 570, 3709, 337, 268, 272, 9574, 1422, 1422, 570, 24417, 267, 1422, 1422, 570, 3709, 337, 266, 272, 10592, 763, 23481, 11664, 585, 891, 2474, 786, 581, 4399, 6234, 9745, 333, 595, 3709, 337, 268, 273, 9574, 1422, 1422, 9745, 333, 595, 3709, 337, 268, 272, 9574, 1422, 1422, 9745, 333, 595, 3709, 337, 348, 2073, 259, 27920, 1947, 780, 2005, 568, 2016, 267, 4399, 6234, 9745, 333, 595, 3709, 337, 268, 273, 348, 815, 476, 13136, 267, 9745, 333, 595, 3709, 337, 268, 272, 348, 815, 476, 275, 4817, 259, 543, 4399, 6234, 9745, 333, 595, 3709, 337, 348, 815, 476, 8064, 273, 6911, 7445, 6234, 1422, 11004, 1150, 1422, 2765, 346, 317, 333, 595, 3709, 337, 268, 273, 12453, 317, 333, 595, 3709, 337, 268, 272, 3686, 815, 1422, 2765, 346, 13136, 2410, 275, 4817, 10592, 7445, 6234, 1422, 23976, 1422, 2765, 346, 337, 268, 272, 2410, 333, 8573, 266, 273, 348, 815, 1422, 2765, 346, 275, 2410, 280, 10592, 7445, 6234, 1422, 23976, 476, 280, 337, 910, 476, 280, 815, 476, 275, 333, 910, 476, 275, 337, 1341, 476, 279, 6911, 7445, 6234, 1422, 23976, 476, 275, 333, 1341, 476, 1704, 815, 476, 1724, 337, 259, 2560, 2560, 2560, 2560, 2560, 1775, 2020, 7445, 6234, 1422, 3667, 346, 20118, 267, 7684, 1422, 2765, 346, 317, 333, 595, 3709, 337, 12453, 317, 333, 595, 3709, 337, 268, 272, 3686, 815, 1422, 2765, 346, 8064, 273, 2410, 275, 4817, 10592, 7445, 6234, 1422, 23976, 1422, 2765, 23533, 8573, 266, 272, 2410, 337, 348, 815, 1422, 2765, 346, 277, 2410, 276, 10592, 7445, 6234, 1422, 23976, 476, 276, 333, 910, 476, 276, 337, 1341, 476, 278, 815, 476, 279, 337, 6911, 7445, 6234, 1422, 23976, 476, 276, 333, 1341, 476, 276, 815, 476, 1724, 678, 259, 2560, 2560, 2560, 2560, 2560, 13797, 2020, 5804, 1775, 264, 543, 13797, 264, 649, 1205, 692, 7445, 6234, 476, 275, 333, 1341, 476, 1704, 815, 476, 276, 333, 1341, 476, 276, 6911, 7445, 6234, 1422, 23976, 562, 815, 476, 1321, 6911, 7445, 6234, 8607, 6911, 9223, 476, 2764, 281, 769, 519, 7269, 540, 4399, 6234, 630, 272, 21147, 8203, 333, 259, 519, 14170, 540, 1614, 15654, 2474, 616, 6606, 4399, 6234, 476, 6321, 267, 476, 10602, 259, 543, 4399, 6234, 476, 6321, 2073, 259, 6533, 1265, 4399, 6234, 562, 259, 543, 519, 2990, 540, 519, 2474, 540, 891, 14170, 780, 4131, 519, 15654, 2474, 581, 4399, 6234, 570, 3709, 337, 9574, 1422, 1422, 570, 3709, 337, 266, 272, 9574, 1422, 1422, 570, 3709, 337, 266, 273, 10592, 763, 23481, 11664, 585, 891, 2474, 786, 581, 4399, 6234, 9745, 333, 595, 3709, 337, 268, 272, 9574, 1422, 1422, 9745, 333, 595, 3709, 337, 9574, 1422, 1422, 9745, 333, 595, 3709, 337, 266, 272, 348, 2073, 259, 27920, 1947, 780, 2171, 723, 4399, 6234, 9745, 333, 595, 3709, 337, 268, 272, 348, 815, 9745, 333, 595, 3709, 337, 266, 272, 348, 815, 476, 6321, 6911, 7445, 6234, 1422, 23976, 678, 910, 476, 272, 1341, 678, 1341, 476, 272, 815, 562, 6911, 7445, 6234, 1422, 23976, 476, 273, 337, 815, 562, 6911, 7445, 6234, 1422, 23976, 678, 815, 1422, 2765, 23533, 2410, 273, 10592, 3086, 267, 4399, 6234, 9745, 333, 595, 18155, 2765, 23533, 2410, 273, 3686, 815, 476, 3583, 259, 543, 4399, 6234, 9745, 333, 595, 18155, 2765, 23533, 2410, 273, 18511, 272, 348, 815, 476, 6321, 6911, 291, 1204, 532, 4399, 6234, 1422, 2765, 346, 317, 333, 595, 18155, 2765, 23533, 2410, 273, 18511, 272, 12453, 317, 333, 595, 18155, 2765, 23533, 2410, 273, 3686, 348, 815, 1422, 2765, 346, 6321, 2410, 3583, 10592, 7445, 6234, 1422, 23976, 1422, 2765, 23533, 256, 7346, 15927, 263, 1422, 2765, 23533, 2410, 273, 348, 910, 272, 315, 15927, 264, 1422, 15927, 263, 1422, 2765, 23533, 2410, 273, 348, 1341, 476, 272, 315, 15927, 264, 7684, 1422, 9392, 1422, 2765, 3189, 15927, 263, 1422, 2765, 23533, 2410, 273, 348, 1422, 15927, 264, 1422, 15927, 263, 1422, 2765, 23533, 2410, 273, 348, 1422, 15927, 264, 25452, 333, 256, 348, 815, 1422, 2765, 346, 279, 2410, 1015, 10592, 7445, 6234, 1422, 23976, 1422, 2765, 346, 1422, 15927, 263, 1422, 2765, 23533, 2410, 273, 348, 1422, 15927, 264, 1422, 15927, 263, 1422, 2765, 23533, 2410, 273, 348, 910, 272, 315, 15927, 264, 1422, 15927, 263, 1422, 2765, 23533, 2410, 273, 348, 1422, 15927, 264, 25452, 1422, 15927, 7268, 2765, 23533, 2410, 273, 4153, 15927, 264, 1422, 15927, 263, 1422, 2765, 23533, 2410, 273, 348, 910, 272, 315, 15927, 264, 1422, 15927, 263, 1422, 2765, 23533, 2410, 273, 348, 1341, 476, 272, 1422, 15927, 14587, 815, 1422, 2765, 346, 279, 2410, 1015, 10592, 7445, 6234, 1422, 23976, 1422, 2765, 3189, 2765, 23533, 2410, 273, 348, 476, 7346, 2765, 23533, 2410, 273, 15396, 272, 348, 815, 1422, 2765, 346, 279, 2410, 1015, 10592, 7445, 6234, 1422, 23976, 476, 276, 333, 815, 476, 275, 333, 1341, 476, 279, 6911, 7445, 6234, 1422, 23976, 562, 815, 476, 279, 6911, 7445, 6234, 1422, 11004, 1150, 678, 815, 1422, 2765, 23533, 2410, 273, 348, 815, 1422, 2765, 346, 279, 2410, 273, 348, 815, 476, 275, 6911, 11997, 519, 2838, 2474, 616, 4399, 6234, 476, 275, 3867, 628, 9574, 1422, 476, 276, 3867, 628, 4151, 543, 4399, 6234, 476, 277, 3867, 628, 31859, 7445, 6234, 8607, 6911, 9223, 476, 3066, 281, 1403, 4399, 6234, 476, 274, 3867, 6113, 9574, 476, 275, 3867, 628, 9574, 476, 276, 3867, 628, 4151, 543, 4399, 6234, 476, 277, 3867, 628, 4151, 2474, 538, 519, 7269, 4399, 6234, 630, 1535, 266, 1422, 10401, 8203, 333, 259, 581, 6606, 4399, 6234, 513, 267, 536, 267, 524, 259, 543, 4399, 6234, 546, 2073, 259, 2889, 557, 602, 4399, 6234, 1422, 2765, 15830, 317, 273, 14092, 2410, 322, 317, 273, 1532, 323, 348, 815, 1422, 2765, 346, 276, 320, 2410, 274, 322, 4151, 16317, 7445, 6234, 1422, 3667, 346, 11693, 4082, 281, 7684, 630, 1535, 266, 1422, 10401, 8203, 333, 6911, 7445, 6234, 570, 318, 274, 815, 9745, 333, 595, 318, 273, 1422, 630, 343, 22722, 333, 268, 273, 348, 1422, 22570, 10401, 8203, 273, 570, 318, 275, 815, 9745, 333, 595, 318, 274, 1422, 630, 343, 22722, 333, 268, 274, 348, 1422, 22570, 10401, 8203, 274, 6911, 7445, 6234, 570, 318, 276, 815, 9745, 333, 595, 318, 275, 1422, 630, 343, 22722, 333, 268, 275, 348, 1422, 22570, 10401, 8203, 275, 570, 318, 277, 815, 9745, 333, 595, 318, 276, 1422, 630, 343, 22722, 333, 268, 276, 348, 1422, 22570, 10401, 8203, 276, 6911, 11693, 1384, 7445, 6234, 9745, 333, 595, 318, 273, 1422, 630, 343, 22722, 333, 268, 273, 348, 1422, 22570, 10401, 8203, 273, 815, 513, 9745, 333, 595, 318, 274, 1422, 630, 343, 22722, 333, 268, 274, 348, 22570, 10401, 8203, 274, 815, 536, 6911, 7445, 6234, 9745, 333, 595, 318, 275, 1422, 630, 343, 22722, 333, 268, 275, 348, 1422, 22570, 10401, 8203, 275, 815, 524, 9745, 333, 595, 318, 276, 1422, 630, 343, 22722, 333, 268, 276, 348, 22570, 10401, 8203, 276, 815, 546, 6911, 2171, 723, 547, 6961, 1384, 7445, 6234, 1422, 2765, 15830, 317, 273, 14092, 2410, 322, 317, 273, 1532, 323, 348, 815, 1422, 2765, 346, 276, 320, 2410, 274, 322, 10592, 7445, 6234, 1422, 23976, 1422, 2765, 15830, 317, 273, 910, 1035, 2410, 320, 348, 815, 1422, 2765, 346, 276, 2410, 274, 348, 1422, 19136, 314, 1422, 2765, 26231, 317, 273, 268, 536, 323, 2410, 322, 348, 1422, 19136, 316, 6911, 7445, 6234, 1422, 23976, 1422, 2765, 346, 272, 2410, 321, 348, 1422, 19136, 314, 1422, 2765, 15830, 317, 273, 910, 1035, 2410, 320, 348, 1422, 19136, 316, 815, 1422, 2765, 346, 276, 2410, 274, 348, 1422, 19136, 314, 1422, 2765, 26231, 317, 273, 268, 536, 323, 2410, 322, 348, 1422, 19136, 316, 6911, 7445, 6234, 1422, 23976, 1422, 2765, 15830, 2410, 320, 348, 910, 1422, 2765, 26231, 2410, 321, 348, 815, 1422, 2765, 346, 276, 2410, 274, 348, 1422, 19136, 314, 1422, 2765, 26231, 2410, 323, 348, 910, 1422, 2765, 18097, 2410, 322, 348, 1422, 19136, 316, 259, 2560, 2560, 2560, 2560, 2560, 1775, 2020, 27802, 23082, 519, 2418, 538, 1775, 264, 649, 1205, 692, 7445, 6234, 1422, 2765, 346, 317, 333, 595, 318, 274, 630, 343, 22722, 333, 268, 274, 348, 22570, 10401, 8203, 274, 2410, 317, 333, 595, 318, 273, 630, 343, 22722, 333, 268, 273, 348, 22570, 10401, 8203, 273, 348, 910, 1422, 2765, 346, 317, 333, 595, 318, 275, 630, 343, 22722, 333, 268, 275, 348, 22570, 10401, 8203, 275, 2410, 317, 333, 595, 318, 274, 630, 343, 22722, 333, 268, 274, 348, 22570, 10401, 8203, 274, 348, 815, 1422, 2765, 346, 276, 2410, 274, 348, 1422, 19136, 314, 1422, 2765, 346, 317, 333, 595, 318, 275, 630, 343, 22722, 333, 268, 275, 348, 22570, 10401, 8203, 275, 2410, 317, 333, 595, 318, 274, 630, 343, 22722, 333, 268, 274, 348, 22570, 10401, 8203, 274, 348, 910, 1422, 2765, 346, 317, 333, 595, 318, 276, 630, 343, 22722, 333, 268, 276, 348, 22570, 10401, 8203, 276, 2410, 317, 333, 595, 318, 275, 630, 343, 22722, 333, 268, 275, 348, 22570, 10401, 8203, 275, 348, 1422, 19136, 316, 6911, 7445, 6234, 1422, 23976, 1422, 19136, 314, 1422, 2765, 346, 317, 333, 595, 318, 274, 2410, 317, 333, 595, 318, 273, 348, 910, 1422, 2765, 346, 317, 333, 595, 318, 275, 2410, 317, 333, 595, 318, 274, 348, 1422, 19136, 316, 1422, 2765, 346, 1422, 10401, 25452, 343, 13157, 1422, 2765, 346, 276, 1422, 10401, 2410, 274, 1535, 348, 1422, 19136, 314, 1422, 2765, 346, 317, 333, 595, 318, 275, 2410, 317, 333, 595, 318, 274, 348, 910, 1422, 2765, 346, 317, 333, 595, 318, 276, 2410, 317, 333, 595, 318, 275, 348, 1422, 19136, 316, 6911, 2171, 737, 7445, 6234, 1422, 3667, 346, 3086, 7684, 1422, 2765, 346, 317, 333, 595, 24417, 2410, 317, 333, 595, 3709, 337, 268, 272, 3686, 815, 1422, 2765, 23533, 8573, 266, 272, 2410, 337, 10592, 7445, 6234, 1422, 23976, 1422, 19136, 314, 1422, 2765, 23533, 268, 273, 2410, 274, 348, 910, 1422, 2765, 23533, 268, 274, 2410, 275, 348, 1422, 19136, 316, 815, 1422, 2765, 346, 275, 2410, 274, 348, 1422, 19136, 314, 1422, 2765, 23533, 268, 274, 2410, 275, 348, 910, 1422, 2765, 23533, 268, 275, 2410, 276, 348, 1422, 19136, 316, 6911, 7445, 6234, 1422, 23976, 1422, 2765, 346, 275, 333, 268, 279, 268, 274, 333, 266, 280, 2410, 274, 1422, 9392, 476, 275, 348, 815, 1422, 2765, 346, 276, 333, 910, 476, 1428, 910, 476, 275, 333, 1341, 476, 1626, 2410, 274, 1422, 9392, 476, 275, 10592, 7445, 6234, 1422, 23976, 1422, 2765, 23533, 266, 272, 2410, 1321, 348, 815, 1422, 2765, 23533, 266, 272, 2410, 1321, 10592, 11997, 700, 9391, 4399, 6234, 815, 259, 681, 9391, 269, 9747, 9863, 780, 7445, 6234, 8607, 6911, 9223, 476, 1789, 281, 1403, 4399, 6234, 513, 267, 536, 267, 524, 259, 543, 4399, 6234, 546, 259, 538, 1022, 23481, 7269, 581, 519, 4399, 6234, 476, 277, 3867, 628, 9574, 476, 278, 3867, 628, 9574, 476, 279, 3867, 628, 4151, 543, 4399, 6234, 476, 280, 3867, 628, 4151, 2474, 6606, 267, 1287, 6961, 602, 4399, 6234, 1422, 2765, 15830, 317, 273, 14092, 2410, 322 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2962, 1387, 2471, 923, 267, 1884, 6625, 341, 6160, 1218, 610, 31520, 563, 1432, 616, 519, 2589, 454, 32507, 12949, 545, 1928, 568, 7920, 1928, 538, 519, 13285, 540, 519, 1560, 602, 666, 581, 10483, 676, 8781, 267, 533, 4459, 532, 267, 28654, 543, 28810, 27383, 547, 5905, 267, 543, 949, 581, 10483, 676, 32688, 610, 31018, 538, 519, 3148, 540, 519, 1560, 4171, 8229, 13374, 568, 19847, 269, 1717, 267, 811, 982, 835, 8229, 949, 581, 3238, 267, 3056, 547, 7839, 1928, 267, 799, 666, 1860, 519, 17657, 267, 7953, 267, 543, 7916, 563, 303, 664, 666, 849, 581, 10483, 676, 606, 27105, 8417, 547, 15128, 602, 798, 711, 2356, 2014, 1928, 267, 971, 607, 3346, 609, 7802, 610, 824, 3615, 267, 543, 949, 6414, 1256, 1310, 9427, 519, 11213, 17003, 563, 303, 664, 666, 581, 26740, 610, 6024, 543, 922, 8515, 666, 581, 7646, 547, 1360, 7920, 267, 4470, 593, 519, 2014, 543, 519, 13285, 602, 616, 3238, 563, 27246, 540, 5778, 12949, 545, 1928, 454, 32507, 12949, 545, 1928, 666, 581, 3361, 676, 1896, 2188, 971, 607, 912, 268, 15850, 1143, 610, 9422, 10638, 267, 799, 3648, 5540, 8229, 1599, 3248, 268, 12128, 22577, 267, 799, 5631, 5540, 519, 17873, 267, 4929, 15672, 15847, 29302, 3248, 268, 11120, 658, 8229, 2042, 3248, 268, 774, 8557, 2042, 3248, 268, 32035, 676, 4551, 610, 8290, 267, 971, 607, 32411, 267, 15601, 610, 15978, 585, 1383, 267, 799, 666, 1860, 519, 13285, 676, 16089, 13802, 3248, 268, 1975, 1400, 10260, 8194, 3361, 676, 10913, 267, 18655, 610, 6391, 3248, 268, 2549, 1584, 566, 540, 513, 18215, 267, 538, 799, 972, 568, 1928, 5219, 547, 519, 7508, 18215, 267, 1634, 607, 943, 656, 558, 18215, 1928, 563, 1103, 1840, 267, 18068, 543, 3676, 971, 607, 2789, 24869, 5448, 543, 2789, 26379, 666, 849, 2014, 5778, 12949, 545, 1928, 269, 6258, 811, 827, 2789, 26379, 563, 1692, 519, 5868, 568, 1500, 454, 21618, 948, 547, 10646, 5778, 12949, 545, 1928, 689, 824, 2010, 540, 1928, 267, 855, 789, 616, 711, 6190, 547, 6166, 519, 5868, 269, 4475, 267, 621, 568, 1360, 1271, 547, 2911, 547, 519, 4387, 267, 945, 786, 581, 2111, 547, 2307, 596, 930, 2055, 538, 1931, 547, 917, 1018, 519, 1928, 568, 899, 267, 950, 621, 4386, 543, 609, 1018, 8515, 267, 543, 4163, 856, 513, 2168, 6268, 610, 29648, 31100, 11400, 267, 538, 1931, 547, 3313, 799, 14715, 4525, 616, 4299, 269, 4299, 563, 1432, 568, 519, 2126, 454, 32507, 12949, 545, 1928, 568, 2356, 524, 9092, 267, 855, 952, 713, 568, 711, 2009, 267, 972, 616, 5574, 602, 666, 948, 13468, 519, 7092, 3361, 676, 519, 2068, 269, 9615, 5673, 593, 519, 2068, 4929, 519, 5778, 12949, 545, 1928, 267, 543, 5161, 540, 8156, 602, 2068, 610, 519, 8229, 267, 543, 17212, 1324, 519, 1928, 563, 2690, 713, 267, 1884, 6625, 341, 6160, 656, 5061, 666, 581, 1031, 267, 971, 607, 2961, 321, 600, 1794, 788, 710, 267, 18637, 777, 550, 514, 610, 2776, 326, 629, 16433, 267, 585, 1383, 267, 799, 957, 676, 13302, 519, 5122, 2534, 540, 519, 13285, 610, 32485, 519, 8574, 540, 1928, 998, 1978, 8229, 11444, 267, 31344, 958, 9117, 1387, 2471, 923, 971, 607, 570, 1090, 611, 565, 543, 24135, 550, 611, 565, 267, 799, 9350, 519, 1928, 543, 6175, 519, 5122, 2534, 540, 519, 13285, 267, 610, 1256, 31520, 971, 607, 589, 2466, 2815, 344, 1467, 543, 17368, 2815, 344, 1467, 267, 799, 538, 1840, 547, 17212, 1324, 1928, 267, 849, 957, 538, 4965, 267, 1360, 1455, 538, 1004, 609, 1928, 538, 519, 5312, 5123, 563, 24357, 23956, 267, 17163, 3797, 543, 519, 946, 540, 5122, 543, 8143, 15128, 666, 849, 2087, 2168, 1599, 543, 948, 513, 1268, 2744, 10342, 269, 769, 811, 4049, 2665, 540, 5778, 12949, 545, 1928, 267, 6391, 949, 581, 2556, 269, 0, 20458, 15628, 538, 15212, 1219, 3166, 513, 4583, 7206, 538, 513, 21499, 9754, 593, 13638, 267, 538, 513, 3126, 540, 17600, 5063, 13389, 7199, 1568, 540, 1148, 547, 1289, 585, 2962, 1996, 8093, 10173, 563, 300, 20047, 540, 606, 19191, 1895, 1572, 7831, 19087, 11540, 6337, 543, 3381, 2228, 13638, 540, 513, 1486, 6856, 26311, 513, 968, 18872, 267, 522, 1176, 5277, 892, 936, 29775, 822, 918, 3916, 339, 779, 968, 5719, 987, 543, 5020, 892, 7206, 1354, 3354, 18060, 539, 693, 519, 2274, 641, 1245, 7467, 269, 1547, 6271, 19191, 666, 581, 2938, 3843, 547, 804, 532, 547, 519, 8825, 11064, 538, 4395, 540, 519, 7206, 563, 2108, 7804, 3739, 585, 1007, 3282, 543, 3154, 568, 519, 2669, 4845, 585, 8103, 2223, 519, 8545, 17408, 9643, 1310, 519, 25224, 563, 23389, 2916, 1689, 15628, 561, 1157, 11792, 1117, 12277, 936, 513, 3933, 564, 7206, 454, 763, 1895, 568, 10912, 585, 4031, 602, 1131, 2569, 19814, 3432, 7182, 547, 476, 1911, 14790, 10774, 630, 12671, 476, 7830, 18890, 1070, 799, 789, 3409, 1131, 4688, 15212, 476, 29121, 2929, 9748, 540, 2910, 273, 829, 1032, 543, 2569, 6846, 543, 2011, 5533, 269, 11087, 806, 5533, 563, 763, 2063, 5108, 1486, 6479, 593, 513, 1554, 950, 519, 1857, 729, 2016, 1863, 16075, 547, 519, 9754, 585, 853, 269, 2274, 641, 1245, 779, 4303, 267, 606, 2680, 23032, 676, 744, 300, 309, 267, 606, 3282, 543, 3154, 2754, 563, 14503, 1662, 3724, 281, 8693, 1895, 13653, 642, 663, 531, 3278, 4583, 7206, 267, 3081, 14195, 729, 2048, 7538, 20371, 2108, 10144, 1869, 723, 1973, 593, 741, 3946, 3695, 543, 17656, 585, 1007, 3282, 543, 3154, 2443, 543, 13384, 11208, 2724, 786, 2760, 11547, 602, 1973, 2476, 2223, 519, 19191, 1895, 1767, 269, 968, 2467, 666, 581, 1100, 2973, 1148, 609, 18660, 2724, 28461, 26452, 2516, 540, 2916, 15628, 723, 6836, 547, 6861, 519, 10367, 538, 2487, 3275, 543, 723, 7923, 2933, 547, 824, 1568, 540, 1148, 538, 3864, 15882, 269, 2201, 5437, 476, 1556, 267, 9097, 2825, 1235, 538, 16157, 6836, 543, 6836, 547, 13793, 3798, 10542, 631, 4875, 779, 476, 6642, 280, 7206, 968, 763, 21115, 600, 892, 538, 513, 9754, 538, 14642, 5979, 269, 7831, 3923, 267, 1079, 15628, 941, 18486, 538, 5507, 267, 4789, 267, 1310, 18530, 23691, 540, 16603, 17339, 693, 27673, 8709, 717, 26710, 779, 968, 26422, 25154, 892, 7206, 563, 19136, 13813, 20831, 8750, 532, 2048, 9617, 17547, 13813, 685, 6828, 2334, 1975, 2683, 590, 19281, 3683, 11709, 717, 26710, 27006, 454, 300, 5237, 8387, 5143, 1065, 13024, 693, 513, 3377, 10554, 602, 519, 9754, 1185, 2799, 3354, 1310, 519, 5767, 6285, 543, 602, 918, 3916, 339, 779, 476, 4489, 276, 960, 968, 5719, 987, 543, 5020, 892, 729, 2451, 2150, 31189, 676, 13638, 779, 17600, 563, 2108, 293, 6136, 519, 11247, 729, 711, 8697, 269, 11048, 267, 649, 616, 14281, 602, 519, 2274, 641, 1245, 7467, 729, 538, 1445, 1934, 2223, 7574, 8689, 17713, 6261, 2678, 15261, 680, 5424, 1767, 693, 513, 3377, 10554, 267, 2687, 547, 1234, 26407, 563, 12812, 1934, 547, 1205, 519, 16737, 5240, 813, 454, 4407, 15261, 680, 5424, 1767, 602, 519, 9754, 1623, 12949, 3278, 609, 519, 2014, 540, 519, 4600, 267, 646, 28715, 519, 13889, 543, 1767, 602, 519, 2063, 5108, 786, 581, 536, 2683, 585, 519, 17293, 540, 519, 7128, 543, 519, 7738, 267, 519, 1942, 568, 6059, 547, 581, 693, 2547, 2947, 5515, 538, 20789, 338, 563, 2005, 568, 711, 2312, 952, 519, 15628, 723, 1044, 18486, 269, 0, 295, 2207, 289, 3201, 32212, 2975, 12114, 7330, 12283, 5442, 631, 3201, 2752, 8656, 570, 3918, 2969, 16774, 667, 7838, 5058, 28217, 294, 2793, 10998, 312, 281, 11553, 3722, 22310, 13878, 307, 8991, 6730, 667, 20315, 2207, 25783, 4753, 303, 3582, 7537, 32670, 28217, 294, 2793, 18199, 654, 6865, 2894, 5442, 589, 9816, 4696, 288, 570, 32052, 5508, 715, 5456, 2207, 8656, 454, 22711, 540, 8376, 543, 6820, 2657, 2676, 25889, 281, 5525, 2303, 602, 519, 946, 540, 2757, 4915, 1282, 6379, 1223, 581, 5906, 543, 949, 19753, 2821, 547, 10786, 14001, 29463, 267, 16349, 4074, 267, 13027, 5114, 267, 31761, 543, 16377, 282, 855, 922, 3403, 538, 519, 2126, 540, 13663, 1851, 9176, 2021, 568, 711, 1134, 3964, 269, 769, 713, 1353, 267, 4052, 2339, 2404, 609, 519, 946, 540, 11922, 538, 519, 2126, 540, 13663, 543, 519, 8226, 540, 922, 12178, 1851, 9176, 2021, 729, 11117, 563, 19686, 1108, 281, 589, 10855, 3444, 22891, 1353, 729, 5340, 593, 476, 6245, 8067, 1229, 9176, 2021, 540, 13259, 1933, 320, 4884, 538, 741, 1101, 959, 30478, 269, 634, 9176, 2021, 941, 25541, 14477, 543, 26906, 609, 513, 11295, 18102, 269, 590, 31723, 4528, 476, 1626, 269, 271, 729, 1031, 585, 1239, 2079, 563, 24342, 281, 20523, 8167, 630, 7906, 269, 274, 8472, 1031, 16909, 4915, 585, 13663, 2126, 1282, 6379, 282, 1034, 540, 873, 630, 2568, 269, 274, 8472, 723, 711, 1031, 16909, 4915, 2394, 519, 942, 540, 6379, 543, 476, 7918, 260, 941, 7479, 12184, 676, 1920, 2818, 547, 946, 2757, 4915, 609, 519, 8226, 602, 2757, 4915, 568, 2922, 607, 476, 7906, 269, 274, 260, 23216, 602, 16909, 11955, 616, 811, 2500, 982, 2413, 11955, 585, 13663, 2126, 269, 476, 7906, 269, 280, 260, 10990, 602, 2757, 4915, 3112, 2014, 1022, 2427, 2360, 547, 513, 9176, 4807, 610, 1200, 4816, 269, 14451, 8167, 630, 8618, 269, 280, 8472, 10990, 602, 2757, 4915, 666, 2014, 16349, 4332, 543, 476, 4037, 269, 272, 260, 10990, 602, 16909, 4915, 666, 2014, 6727, 27373, 610, 26674, 17699, 538, 513, 9176, 4807, 269, 4014, 267, 476, 6795, 269, 279, 260, 10990, 602, 16909, 4915, 2306, 519, 21565, 630, 321, 17879, 264, 2635, 543, 476, 2004, 269, 279, 260, 3858, 16909, 11955, 666, 2014, 22775, 885, 538, 9002, 563, 6962, 281, 4173, 4472, 4915, 949, 581, 6225, 585, 519, 2126, 540, 13663, 1851, 9176, 2021, 267, 855, 972, 568, 513, 15784, 540, 1344, 593, 519, 12178, 540, 922, 946, 269, 4935, 267, 1072, 1416, 7426, 616, 9415, 547, 1683, 1697, 1416, 267, 1072, 2069, 543, 13508, 547, 948, 13599, 2503, 656, 11299, 593, 519, 1761, 8594, 540, 519, 946, 540, 2757, 4915, 1282, 6379, 563, 268, 9176, 2021, 454, 268, 2757, 4915, 454, 268, 12178, 540, 11922, 454, 1692, 547, 25737, 454, 29804, 560, 700, 267, 19159, 667, 267, 12794, 822, 1731, 590, 267, 20918, 1263, 670, 269, 8881, 543, 12117, 540, 16909, 14319, 538, 6188, 564, 7879, 1765, 516, 1613, 543, 4791, 6286, 269, 11068, 342, 604, 2044, 269, 476, 1001, 272, 282, 2767, 263, 272, 2567, 3199, 268, 277, 563, 298, 636, 611, 2129, 11298, 267, 744, 1721, 328, 11860, 342, 752, 6614, 918, 310, 269, 667, 657, 720, 3029, 540, 16909, 16392, 2472, 543, 741, 6617, 9270, 12845, 7650, 269, 808, 7600, 4860, 269, 476, 1001, 278, 282, 275, 263, 275, 2567, 272, 268, 279, 563, 293, 531, 935, 518, 808, 305, 267, 853, 1737, 2006, 918, 297, 269, 6987, 18556, 24345, 31903, 11955, 269, 8241, 3465, 322, 686, 828, 269, 476, 1001, 278, 282, 2412, 263, 272, 2567, 276, 563, 301, 342, 657, 340, 12135, 267, 2201, 342, 26854, 744, 300, 267, 29142, 1156, 655, 822, 933, 19845, 269, 4165, 9171, 656, 12186, 540, 6599, 534, 4301, 6987, 847, 540, 13100, 704, 1368, 710, 1619, 630, 308, 345, 21289, 264, 27817, 593, 8048, 268, 5715, 340, 1027, 570, 4382, 983, 24768, 640, 538, 654, 626, 541, 681, 1846, 269, 18142, 808, 4437, 15701, 1763, 269, 476, 1708, 273, 282, 278, 263, 273, 2567, 4817, 268, 1911, 563, 4002, 342, 26854, 744, 300, 267, 715, 342, 657, 340, 12135, 267, 744, 12027, 21343, 9338, 269, 14997, 11914, 2963, 540, 13100, 704, 1368, 710, 1619, 593, 10285, 17219, 269, 634, 4750, 540, 24695, 339, 2684, 29108, 1108, 269, 476, 1708, 273, 282, 1556, 263, 274, 2567, 21854, 268, 23417, 563, 289, 709, 1087, 731, 11483, 267, 7200, 1731, 595, 267, 670, 821, 514, 10790, 267, 27508, 21191, 267, 5530, 715, 289, 269, 4173, 4472, 946, 1354, 543, 1282, 6379, 269, 1977, 4750, 540, 26861, 564, 7879, 543, 21859, 928, 19223, 269, 476, 1001, 271, 282, 1708, 263, 276, 2567, 476, 4510, 274, 3887, 272, 563, 2419, 340, 836, 8863, 267, 26284, 623, 297, 267, 670, 338, 773, 327, 654, 306, 267, 17578, 2967, 962, 297, 267, 6931, 590, 297, 267, 16441, 7193, 269, 4457, 16909, 4915, 946, 538, 15990, 1282, 6379, 543, 519, 2022, 31691, 1974, 281, 589, 2551, 2861, 20165, 1353, 269, 4139, 4750, 540, 16711, 5525, 269, 476, 1220, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 2582, 13339, 12627, 267, 519, 3002, 2126, 666, 9156, 519, 5122, 4187, 543, 1272, 540, 519, 15298, 269, 1403, 621, 23119, 689, 513, 8919, 538, 519, 8998, 540, 519, 12627, 630, 324, 3052, 269, 513, 8998, 540, 2527, 8919, 1070, 621, 666, 7017, 693, 476, 8517, 5232, 269, 1717, 267, 952, 621, 568, 5833, 1210, 519, 674, 313, 9539, 6874, 291, 1505, 267, 621, 3112, 9156, 713, 5420, 8919, 543, 666, 1152, 11177, 5122, 4187, 267, 15298, 543, 3028, 1272, 269, 1496, 306, 1545, 281, 476, 272, 316, 910, 301, 6874, 291, 1505, 593, 513, 2582, 13339, 12627, 630, 324, 3052, 269, 538, 513, 13339, 13863, 1916, 18199, 291, 1568, 1655, 609, 13339, 3824, 1824, 540, 1447, 982, 476, 272, 6515, 8006, 543, 476, 271, 269, 276, 6515, 5394, 269, 1677, 7413, 519, 2360, 540, 11375, 558, 23189, 267, 519, 13339, 3824, 1824, 543, 13063, 616, 29352, 865, 602, 23377, 23735, 2747, 568, 5645, 856, 593, 1312, 5011, 269, 634, 19202, 530, 2378, 619, 616, 1287, 6027, 547, 3313, 2436, 15895, 5982, 568, 1459, 269, 589, 13339, 3824, 582, 609, 513, 8006, 540, 476, 1220, 6515, 568, 23735, 7007, 593, 513, 530, 29195, 602, 568, 29352, 1282, 23735, 2747, 269, 938, 806, 912, 763, 10570, 1297, 540, 13339, 568, 476, 1691, 267, 543, 865, 519, 1297, 540, 22571, 543, 9211, 538, 513, 5056, 6804, 13339, 11046, 568, 849, 476, 1691, 269, 901, 1797, 952, 649, 723, 476, 1691, 2318, 10997, 267, 1287, 649, 723, 547, 5581, 519, 1297, 540, 9211, 1317, 9211, 616, 11874, 9901, 269, 1280, 1034, 540, 519, 6967, 2609, 267, 25268, 856, 15893, 22571, 267, 2094, 519, 3606, 25268, 616, 2877, 547, 3180, 519, 13540, 1927, 267, 676, 856, 4818, 7566, 519, 8994, 1065, 13955, 689, 606, 2810, 1297, 540, 22571, 13671, 538, 513, 1360, 1507, 1858, 269, 0, 2108, 3080, 1434, 3364, 827, 2575, 267, 950, 621, 16125, 596, 267, 596, 1745, 1100, 1928, 3034, 1700, 7585, 3057, 2917, 454, 9303, 7595, 16380, 941, 540, 519, 2856, 602, 8964, 1185, 519, 1379, 547, 12115, 519, 1560, 607, 1134, 607, 519, 6891, 269, 634, 1379, 540, 9066, 729, 849, 4362, 27453, 3516, 950, 519, 4505, 812, 588, 1563, 538, 547, 519, 3595, 540, 3595, 543, 2322, 883, 513, 21363, 1533, 540, 2247, 269, 2405, 5511, 610, 11005, 2575, 568, 513, 4999, 540, 1079, 713, 2186, 540, 7060, 607, 22800, 2614, 547, 2709, 2043, 1210, 741, 5626, 607, 1134, 607, 4890, 2168, 2042, 269, 4014, 23484, 1185, 1044, 1500, 2085, 2516, 1394, 267, 621, 729, 1152, 3330, 519, 476, 3707, 271, 338, 602, 2564, 4966, 543, 3173, 3459, 547, 1382, 519, 3310, 540, 2836, 2719, 13458, 995, 4039, 1314, 532, 1107, 4039, 1314, 532, 8535, 593, 519, 1480, 3003, 1560, 2059, 609, 922, 6351, 547, 7753, 1585, 22074, 563, 24523, 814, 1044, 1031, 607, 513, 2126, 1907, 676, 7189, 585, 1896, 1296, 269, 4039, 1314, 566, 8964, 16957, 569, 16297, 338, 2550, 1210, 741, 9636, 4543, 873, 9350, 1524, 538, 30223, 14026, 269, 11048, 267, 6639, 6169, 689, 519, 3194, 4741, 693, 519, 18096, 5441, 814, 9672, 602, 8964, 666, 948, 28570, 2550, 685, 8186, 547, 24390, 741, 9636, 269, 589, 2575, 1685, 518, 543, 2852, 7548, 267, 6424, 670, 269, 4858, 1091, 24849, 267, 4767, 606, 31077, 3095, 1063, 4227, 9636, 689, 2212, 31191, 543, 16706, 2575, 998, 2123, 2833, 563, 10932, 1160, 1324, 519, 8177, 540, 14576, 338, 593, 10266, 454, 4504, 29098, 676, 1010, 7279, 267, 646, 8678, 4229, 609, 2185, 824, 6280, 7189, 1107, 998, 519, 2160, 540, 18096, 779, 606, 15589, 5735, 8257, 543, 1031, 3152, 982, 476, 5611, 1072, 995, 13538, 547, 6166, 1010, 3069, 269, 634, 5396, 1185, 1044, 9674, 883, 1079, 3906, 543, 1169, 2319, 5833, 28654, 610, 18473, 4714, 2827, 540, 1114, 14556, 885, 689, 22809, 593, 519, 9133, 540, 741, 31840, 269, 2290, 1895, 4810, 519, 7646, 9636, 3330, 606, 5790, 1141, 2575, 729, 4742, 5340, 538, 519, 1686, 15029, 519, 2034, 1895, 729, 15518, 730, 609, 513, 1297, 540, 2575, 4247, 540, 8795, 2152, 269, 634, 11645, 3769, 16734, 519, 13321, 8846, 540, 519, 23260, 610, 1256, 519, 6284, 540, 1821, 5050, 18565, 269, 634, 11745, 625, 8246, 585, 519, 1382, 941, 519, 15885, 540, 20353, 3241, 932, 7699, 638, 328, 1107, 519, 2212, 538, 519, 6280, 779, 5441, 540, 8535, 779, 5888, 1062, 563, 5629, 519, 3584, 5833, 28654, 267, 4966, 1336, 972, 941, 3067, 16666, 3167, 30372, 1369, 519, 5396, 685, 2960, 2932, 766, 267, 20194, 546, 7976, 267, 543, 8401, 1949, 269, 16792, 713, 1239, 267, 519, 3173, 7229, 741, 5396, 685, 15672, 543, 3844, 10761, 267, 610, 519, 2179, 540, 9636, 789, 9952, 269, 13689, 593, 519, 1353, 267, 4858, 1091, 24849, 779, 1895, 4362, 602, 713, 12381, 538, 17003, 10761, 610, 4950, 11556, 2404, 609, 519, 2949, 2773, 540, 7574, 4247, 8519, 952, 519, 7411, 540, 6009, 4824, 269, 634, 1353, 1895, 9863, 267, 609, 519, 2638, 267, 602, 519, 5396, 685, 2489, 9636, 8519, 2899, 789, 10704, 593, 519, 2575, 607, 1134, 607, 519, 2816, 693, 1688, 563, 763, 18903, 540, 4039, 1314, 566, 8535, 454, 763, 10444, 9055, 1369, 938, 4703, 616, 15181, 676, 2575, 269, 1358, 28596, 5626, 30491, 543, 25407, 2790, 3007, 547, 4339, 1996, 519, 1928, 10473, 269, 634, 5348, 1458, 540, 8964, 543, 9636, 18867, 11081, 938, 4703, 685, 3210, 543, 4679, 10892, 269, 11048, 267, 519, 9588, 540, 1928, 6175, 15320, 1851, 2043, 19962, 547, 1915, 7592, 899, 7415, 2702, 547, 1445, 593, 513, 1978, 3635, 607, 1134, 607, 741, 4160, 5666, 563, 9824, 1314, 566, 8535, 9615, 547, 948, 2043, 609, 15978, 543, 2052, 6203, 14904, 454, 24523, 779, 3310, 593, 1928, 814, 6905, 922, 946, 883, 1896, 4610, 950, 621, 2501, 547, 1072, 543, 1134, 5630, 269, 14576, 338, 5574, 616, 4742, 811, 543, 811, 1134, 8153, 543, 3395, 607, 513, 2898, 1007, 2361, 676, 3294, 269, 634, 7537, 14011, 630, 18197, 2829, 14576, 338, 9615, 17583, 264, 5359, 602, 2575, 568, 5363, 538, 5466, 14375, 267, 2168, 267, 5626, 267, 543, 5042, 2115, 269, 9615, 14543, 547, 1152, 1331, 6217, 2575, 267, 855, 538, 1840, 7900, 267, 6721, 267, 543, 3001, 547, 8964, 269, 1325, 4582, 2747, 540, 1928, 267, 1852, 936, 2566, 267, 6454, 540, 2792, 267, 543, 19349, 540, 3965, 666, 581, 6707, 6192, 676, 9001, 8964, 2126, 563, 6624, 2487, 12220, 723, 2907, 1044, 5342, 538, 1114, 2694, 540, 519, 1158, 547, 6218, 519, 1764, 540, 8964, 593, 1004, 609, 2123, 2042, 543, 1072, 2042, 269, 634, 667, 516, 343, 601, 2160, 779, 3173, 267, 585, 1383, 267, 4121, 602, 2575, 666, 2087, 519, 22680, 5666, 538, 11871, 2550, 543, 849, 6318, 519, 30181, 540, 2043, 7092, 689, 29452, 610, 12216, 779, 4576, 269, 12824, 693, 13785, 779, 2160, 540, 20944, 1156, 7921, 1767, 602, 11005, 8964, 711, 8806, 19443, 3584, 6001, 950, 6947, 547, 621, 267, 855, 10123, 8810, 789, 9952, 513, 1166, 25744, 540, 2318, 4664, 693, 513, 3152, 4908, 2059, 609, 2362, 4222, 269, 5015, 267, 4010, 519, 1482, 5396, 7152, 9963, 4191, 540, 2539, 4160, 2059, 609, 741, 23280, 2157, 630, 560, 816, 9449, 538, 1004, 264, 849, 8519, 3648, 563, 763, 28454, 543, 1234, 767, 725, 689, 519, 2136, 2829, 9435, 5980, 454, 763, 589, 5425, 630, 18197, 2829, 2052, 6203, 5980, 264, 20922, 602, 11005, 2575, 666, 4217, 538, 13302, 2295, 2557, 267, 7244, 5777, 267, 543, 1973, 2604, 1377, 269, 898, 666, 849, 2539, 519, 4191, 543, 2589, 540, 19492, 20439, 1145, 267, 14221, 1145, 267, 543, 19591, 4713, 547, 707, 1390, 4110, 269, 15706, 945, 4309, 18068, 543, 4550, 1700, 333, 13835, 11955, 538, 1164, 13066, 666, 8897, 18530, 909, 543, 15353, 610, 13481, 676, 1210, 8964, 2126, 269, 10163, 8964, 849, 2337, 13468, 519, 2110, 14428, 19189, 1928, 8854, 998, 676, 11871, 2043, 563, 763, 589, 5425, 8612, 602, 4662, 823, 2043, 971, 607, 891, 10010, 609, 2860, 610, 15978, 4824, 741, 3044, 540, 2713, 3842, 519, 4222, 540, 1964, 2575, 269, 14576, 338, 2126, 2337, 538, 5355, 741, 1964, 543, 17195, 2157, 1247, 29000, 538, 9636, 1852, 269, 769, 1978, 2550, 267, 1964, 2575, 814, 8920, 730, 1973, 8043, 543, 17159, 6091, 267, 799, 814, 3648, 5280, 7117, 327, 16223, 329, 326, 519, 9636, 4810, 2429, 703, 28424, 2409, 563, 22546, 540, 2405, 5511, 8535, 593, 4658, 22206, 1359, 609, 12216, 779, 4576, 454, 31714, 10010, 609, 12216, 779, 2068, 666, 1118, 519, 1034, 540, 1964, 2575, 547, 3035, 6351, 538, 4948, 1272, 269, 4634, 2429, 519, 2034, 4781, 11775, 540, 12216, 779, 2068, 267, 513, 3461, 779, 2702, 547, 1266, 1484, 538, 7574, 13467, 543, 1921, 609, 24754, 10291, 5170, 547, 581, 3768, 600, 3042, 269, 634, 5042, 2324, 2838, 585, 519, 4393, 540, 891, 10291, 568, 8697, 1282, 519, 3735, 5933, 267, 865, 7164, 1964, 8964, 666, 4217, 538, 21363, 2043, 676, 1802, 1424, 1964, 543, 7829, 4160, 269, 20767, 894, 610, 1199, 5511, 8964, 1510, 5348, 19817, 566, 610, 25576, 15664, 543, 811, 7444, 1661, 1842, 814, 3893, 519, 1761, 547, 948, 2043, 7092, 689, 12216, 779, 2068, 1689, 519, 3292, 799, 1267, 538, 989, 2787, 543, 3643, 5127, 609, 1920, 4759, 14867, 563, 9824, 1314, 566, 8964, 814, 519, 2702, 547, 2322, 19700, 1318, 883, 513, 9350, 1533, 540, 2247, 269, 6787, 621, 3322, 18398, 513, 3461, 12936, 676, 12110, 267, 13098, 1324, 8823, 267, 4227, 1928, 267, 610, 25695, 2576, 945, 814, 1185, 513, 1279, 1554, 267, 1906, 2395, 267, 10865, 267, 610, 5310, 513, 1032, 267, 1964, 8964, 19299, 519, 2186, 540, 6051, 1648, 602, 24903, 4422, 3564, 6639, 7744, 563, 2108, 24523, 2488, 513, 9997, 2509, 519, 1158, 267, 12209, 2509, 519, 8186, 267, 29617, 8184, 2509, 519, 9345, 543, 1272, 547, 3388, 1848, 1107, 18573 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2042, 4448, 609, 1648, 6283, 267, 6846, 543, 14692, 630, 600, 784, 1866, 1070, 2842, 18434, 13822, 513, 3226, 2352, 1966, 538, 8901, 4058, 563, 1607, 1867, 14592, 519, 1292, 2152, 2404, 609, 519, 1646, 540, 2842, 11396, 543, 2009, 4485, 547, 2327, 741, 3811, 5610, 538, 519, 5251, 267, 607, 3989, 538, 519, 3864, 23721, 13482, 269, 898, 1281, 711, 3409, 547, 581, 29882, 610, 547, 2709, 513, 2143, 1935, 547, 2842, 1648, 4058, 602, 1223, 581, 8045, 538, 1169, 4759, 1533, 269, 634, 1808, 5251, 267, 2686, 543, 2797, 2934, 602, 5581, 1142, 1858, 267, 543, 519, 1259, 789, 616, 9228, 267, 4268, 7494, 689, 835, 1533, 547, 1776, 563, 763, 1101, 851, 540, 519, 1867, 11225, 519, 2489, 1935, 547, 581, 4294, 547, 5251, 4058, 538, 4276, 609, 2842, 1648, 543, 519, 1292, 1788, 5933, 269, 634, 2034, 851, 9388, 609, 519, 5251, 3741, 547, 581, 3144, 883, 7156, 538, 1169, 2842, 1648, 1788, 269, 901, 1797, 782, 519, 2489, 3344, 799, 616, 23801, 585, 519, 1697, 5610, 540, 2842, 18434, 883, 513, 5251, 267, 610, 741, 17181, 267, 2348, 1813, 2543, 547, 922, 1808, 4162, 269, 1452, 1079, 2694, 4019, 711, 1152, 547, 1367, 2842, 3484, 3785, 855, 849, 547, 4487, 4058, 267, 950, 513, 3148, 814, 1896, 1761, 2842, 11396, 563, 763, 8901, 4058, 3157, 543, 5251, 3741, 1163, 15903, 538, 713, 3561, 616, 849, 4570, 585, 9381, 2842, 610, 21369, 11396, 269, 1452, 2127, 1058, 581, 2808, 538, 519, 1482, 1259, 607, 519, 1964, 540, 519, 8513, 543, 1694, 532, 2994, 1058, 2327, 602, 2127, 540, 1880, 1871, 630, 1721, 1383, 267, 519, 2070, 689, 543, 2509, 5032, 338, 264, 616, 12873, 563, 763, 6663, 540, 519, 1867, 616, 547, 912, 25075, 728, 513, 2489, 1935, 547, 5251, 4058, 538, 4276, 609, 2842, 18434, 267, 1510, 10747, 513, 6378, 12191, 267, 538, 1931, 602, 621, 666, 581, 4294, 538, 782, 519, 4759, 2829, 3248, 24175, 2248, 2645, 543, 513, 2489, 12191, 585, 5373, 909, 4566, 585, 2842, 11396, 602, 616, 15095, 609, 519, 5251, 3248, 3698, 710, 519, 5251, 3741, 602, 1058, 581, 3144, 883, 7156, 950, 14045, 593, 519, 4087, 540, 2842, 18434, 267, 610, 27195, 873, 563, 2026, 513, 1267, 540, 2804, 2208, 543, 519, 9750, 2115, 602, 13173, 621, 267, 11182, 630, 663, 8754, 8916, 264, 10929, 4028, 543, 6024, 1689, 269, 1403, 602, 1646, 568, 711, 9709, 543, 6417, 267, 8916, 949, 1831, 811, 2352, 547, 968, 1348, 6100, 634, 2551, 949, 4061, 24044, 547, 2697, 609, 922, 8916, 799, 949, 6336, 741, 2027, 1915, 269, 898, 568, 585, 713, 2601, 602, 519, 1857, 8128, 723, 2322, 538, 1747, 8901, 4058, 7405, 799, 666, 581, 1031, 547, 3310, 8901, 1646, 563, 3080, 540, 519, 2591, 540, 8901, 4058, 568, 547, 8190, 610, 11177, 519, 25843, 540, 8916, 267, 2436, 789, 616, 2127, 540, 968, 2041, 2246, 344, 892, 610, 2027, 1719, 267, 610, 723, 1100, 11108, 4162, 563, 20360, 18434, 267, 899, 824, 5989, 630, 30030, 267, 2872, 267, 8027, 267, 3092, 4700, 723, 547, 581, 11368, 883, 519, 8901, 4058, 3157, 269, 901, 1797, 6236, 711, 1152, 2842, 18434, 538, 2933, 267, 855, 849, 782, 606, 322, 16736, 5989, 2838, 630, 12741, 3515, 267, 9897, 267, 3092, 28593, 1607, 3296, 5036, 856, 519, 2489, 3741, 547, 581, 4294, 950, 1519, 2842, 18434, 538, 8901, 4058, 269, 634, 1808, 5251, 5829, 3344, 630, 4133, 3874, 2079, 267, 7355, 267, 5542, 267, 17181, 267, 3092, 4700, 616, 18808, 609, 538, 519, 1739, 3296, 563, 20360, 1648, 4058, 568, 2356, 519, 1641, 540, 513, 5823, 531, 1544, 799, 786, 581, 3769, 538, 606, 2949, 1544, 269, 634, 2842, 1648, 1544, 814, 547, 581, 1071, 268, 867, 3990, 609, 519, 11889, 8128, 540, 30240, 2127, 269, 769, 782, 2665, 267, 2842, 1648, 6703, 1058, 581, 9709, 693, 519, 5207, 11889, 1377, 540, 519, 1533, 7255, 269, 3213, 268, 867, 1588, 609, 824, 5823, 531, 4566, 630, 339, 24397, 267, 8027, 267, 2872, 267, 3092, 4700, 568, 849, 1271, 547, 2057, 7526, 538, 4058, 543, 3035, 19993, 8901, 5834, 540, 519, 1114, 2010, 540, 5989, 563, 2414, 2040, 909, 267, 621, 568, 2556, 547, 912, 817, 793, 2842, 1648, 4058, 547, 519, 5207, 2009, 24101, 571, 15696, 1308, 8128, 1369, 519, 1533, 3248, 1723, 268, 15453, 4058, 3741, 609, 30240, 2829, 610, 11889, 4525, 3248, 1723, 268, 15453, 2842, 1648, 4058, 609, 824, 5823, 531, 4566, 3248, 1952, 569, 519, 6240, 540, 5834, 693, 6237, 1377, 950, 1374, 908, 4058, 610, 17181, 10851, 3248, 16780, 5971, 23454, 609, 824, 2010, 540, 5989, 547, 1106, 13421, 6131, 547, 7791, 19367, 543, 824, 15095, 4853, 3096, 563, 288, 5251, 1788, 585, 519, 5610, 540, 2842, 18434, 1058, 711, 581, 5645, 856, 538, 10072, 269, 898, 3029, 851, 540, 513, 2898, 267, 9967, 540, 782, 519, 824, 6252, 610, 1991, 2090, 602, 723, 547, 581, 5645, 856, 538, 1931, 547, 3035, 17396, 8901, 4058, 269, 769, 2110, 267, 621, 949, 581, 1767, 602, 1434, 4058, 5161, 540, 912, 17463, 4058, 281, 17181, 540, 2127, 585, 4128, 799, 949, 581, 2930, 630, 28947, 547, 519, 7470, 267, 2842, 1648, 1761, 267, 6846, 267, 3092, 13776, 6211, 630, 2889, 339, 1254, 540, 5017, 543, 16835, 264, 610, 5251, 5829, 630, 31695, 610, 30118, 1738, 2127, 5148, 543, 454, 27168, 4058, 281, 5542, 540, 7957, 24461, 2127, 538, 2474, 540, 2842, 543, 5989, 563, 5472, 891, 5823, 531, 2090, 1058, 1106, 851, 540, 606, 27952, 1184, 609, 5571, 1071, 268, 867, 1588, 269, 634, 5251, 1788, 2501, 538, 5631, 1310, 519, 2942, 4058, 3942, 269, 901, 786, 2327, 602, 519, 1788, 568, 607, 17396, 607, 2009, 267, 1317, 621, 786, 1287, 581, 11991, 547, 1118, 7928, 11941, 547, 621, 267, 543, 519, 5817, 1523, 786, 711, 581, 7683, 1572, 883, 2243, 563, 20360, 18434, 666, 3362, 3914, 513, 2698, 4463, 540, 476, 9610, 15432, 630, 5197, 15432, 538, 519, 2013, 540, 519, 5767, 3631, 264, 543, 616, 7298, 689, 936, 476, 1015, 21240, 2476, 538, 936, 4751, 2175, 267, 543, 689, 1454, 3152, 9883, 538, 2312, 4365, 2175, 269, 9717, 741, 2450, 267, 789, 1106, 3810, 17736, 545, 6681, 543, 25412, 3889, 23630, 519, 8912, 17114, 540, 5251, 2934, 269, 769, 6476, 267, 519, 838, 790, 540, 5899, 553, 13118, 326, 26720, 14380, 547, 513, 4463, 540, 476, 16318, 15432, 563, 3519, 8019, 267, 950, 8888, 513, 2842, 3484, 610, 5373, 909, 513, 4487, 1544, 267, 649, 1590, 8831, 938, 2079, 1134, 3564, 519, 9709, 4087, 269, 27814, 267, 519, 2898, 1858, 538, 799, 519, 2842, 18434, 786, 581, 7298, 1058, 581, 2808, 269, 10738, 713, 9962, 1858, 267, 2152, 540, 1071, 23724, 2225, 609, 824, 2842, 11396, 1590, 581, 3769, 538, 519, 2079, 269, 769, 2127, 1369, 513, 8953, 540, 476, 276, 268, 1015, 21240, 630, 24119, 2056, 593, 519, 1297, 540, 2842, 18434, 9709, 543, 741, 2450, 264, 2055, 540, 4336, 543, 8167, 786, 1404, 606, 1271, 1909, 269, 769, 891, 2673, 2127, 267, 782, 5251, 3741, 1590, 581, 3144, 883, 2272, 563, 3682, 9679, 1590, 581, 1500, 585, 1071, 268, 7774, 609, 4525, 11105, 547, 519, 4058, 1858, 267, 538, 1931, 547, 2333, 519, 25843, 540, 519, 5251, 1788, 543, 1118, 621, 811, 11807, 547, 519, 2199, 2551, 563, 1103, 5251, 4058, 267, 1169, 4674, 1058, 581, 1500, 547, 4308, 609, 519, 824, 267, 1875, 2000, 1343, 3874, 3344, 630, 13388, 1648, 1761, 267, 1569, 267, 1648, 6283, 267, 5726, 540, 2249, 264, 538, 4434, 267, 865, 602, 1022, 2042, 666, 581, 2062, 16308, 543, 267, 952, 2556, 267, 519, 9709, 4087, 630, 338, 264, 666, 581, 14460, 610, 9862, 269, 769, 519, 2013, 540, 4487, 4058, 676, 513, 6237, 610, 2199, 6392, 267, 971, 16861, 9382, 616, 811, 2352, 1317, 540, 519, 3790, 547, 799, 789, 949, 2285, 4473, 269, 5685, 3496, 12417, 666, 581, 1336, 267, 2705, 267, 998, 1071, 268, 7774, 609, 519, 1585, 8639, 3238, 538, 2842, 1648, 2504, 563, 1103, 1840, 547, 519, 2842, 1648, 1761, 267, 519, 1648, 6283, 543, 1569, 7399, 1590, 581, 1634, 269, 589, 8760, 540, 2127, 666, 581, 3812, 593, 602, 4493, 267, 6029, 519, 9922, 799, 1058, 581, 5697, 610, 16934, 267, 543, 1346, 585, 799, 3606, 1071, 268, 867, 1588, 568, 2556, 563, 8489, 6846, 543, 14692, 562, 7572, 766, 616, 7255, 267, 972, 616, 1869, 10616, 538, 3621, 1702, 269, 2368, 2665, 540, 6846, 2042, 1739, 519, 4070, 540, 2842, 18434, 723, 1044, 4857, 269, 14190, 766, 1058, 4061, 581, 1500, 585, 18481, 1804, 17280, 10851, 1472, 2127, 1141, 1004, 2661, 269, 10819, 16109, 689, 5665, 9993, 543, 4611, 2883, 9271, 666, 3976, 581, 14284, 563, 763, 4027, 540, 2249, 543, 1979, 582, 8554, 1058, 581, 9619, 1991, 547, 5251, 4058, 563, 1103, 519, 16861, 2090, 267, 606, 2949, 2079, 540, 4540, 1239, 1058, 581, 5645, 856, 267, 543, 513, 4640, 585, 519, 11091, 540, 2067, 2127, 267, 6870, 2127, 543, 2249, 1058, 581, 25282, 269, 1452, 2127, 538, 2243, 616, 1346, 6870, 676, 3526, 525, 610, 4031, 630, 301, 520, 3120, 476, 1220, 271, 4609, 267, 585, 1383, 1040, 1280, 782, 891, 1114, 2127, 267, 621, 568, 1271, 547, 28433, 606, 2949, 4640, 693, 6237, 610, 3084, 1377, 267, 543, 547, 1832, 547, 621, 269, 1548, 1590, 581, 5462, 568, 2436, 519, 4027, 3853, 540, 891, 2127, 616, 5812, 609, 519, 4070, 540, 2842, 18434, 610, 1018, 2186, 540, 1646, 568, 5551, 585, 891, 8916, 538, 2104, 269, 898, 568, 14909, 267, 2705, 267, 547, 23868, 7396, 543, 5924, 6870, 2127, 538, 1931, 547, 3970, 7526, 543, 4058, 7965, 630, 338, 2133, 2090, 267, 3092, 28593, 289, 8674, 543, 16835, 616, 1079, 2516, 540, 2249, 3226, 4299, 676, 2842, 18434, 269, 589, 21354, 1606, 15856, 730, 2842, 1648, 9744, 630, 332, 12568, 23725, 832, 267, 10122, 610, 2220, 9879, 2127, 585, 16835, 264, 666, 723, 3978, 2360, 593, 519, 5095, 540, 891, 2249, 269, 20226, 593, 891, 21426, 2516, 616, 2111, 547, 2932, 16861, 9382, 540, 606, 1858, 543, 1118, 606, 4879, 540, 519, 4220, 269, 901, 568, 513, 5266, 20522, 1184, 3379, 609, 519, 7766, 3790, 799, 949, 8451, 607, 513, 1267, 540, 513, 5821, 547, 2232, 891, 2042, 269, 634, 18230, 3213, 268, 867, 1588, 10418, 585, 519, 1353, 543, 4027, 540, 16835, 630, 290, 5425, 264, 814, 25282, 513, 1505, 585, 10442, 2842, 1648, 4609, 267, 1759, 593, 2947, 1981, 2157, 269, 5381, 2090, 2291, 538, 519, 2013, 540, 5017, 563, 288, 1353, 593, 5251, 5610, 540, 2842, 18434, 1058, 581, 9833, 607, 513, 5251, 1788, 585, 519, 2104, 269, 13405, 2079, 543, 1620, 540, 519, 8513, 1106, 606, 7533, 851, 540, 519, 1788, 269, 634, 2956, 540, 713, 5123, 1058, 593, 1100, 2272, 581, 6922, 2213, 269, 898, 6087, 519, 1544, 1676, 547, 4019, 1843, 2032, 547, 5251, 5868, 269, 634, 1184, 540, 30228, 519, 5251, 1058, 581, 5342, 12055, 8271, 538, 14966, 609, 519, 16879, 5123, 269, 634, 2093, 8659, 538, 519, 1788, 666, 3976, 581, 7318, 1996, 519, 4641, 538, 519, 2361, 267, 543, 1287, 9862, 607, 2361, 1702, 4679, 563, 2304, 1620, 540, 519, 4540, 5251, 267, 922, 1686, 267, 922, 1514, 4162, 543, 922, 1646, 786, 581, 15747, 538, 4758, 519, 1788, 513, 17396, 3337, 543, 4180, 922, 15364, 269, 901, 568, 711, 1152, 11091, 693, 1022, 3902, 267, 855, 849, 6417, 1646, 538, 3617, 2127, 267, 1759, 593, 519, 1883, 2934, 540, 519, 5251, 267, 799, 666, 581, 4857, 998, 2079, 540, 519, 3135, 563, 1103, 513, 2842, 1648, 1788, 267, 1880, 3007, 1590, 581, 6976, 547, 519, 19916, 540, 519, 5251, 269, 901, 1797, 5750, 532, 543, 1620, 519, 5311, 540, 1283, 7240, 2934, 267, 741, 2834, 640, 610, 12150, 640, 267, 519, 3845, 540, 519, 16880, 543, 519, 17114, 1063, 5251, 3334, 630, 1721, 1383, 267, 4463, 540, 513, 14629, 538, 6935, 547, 824, 5251, 2934, 1040, 634, 5251, 4559, 543, 519, 1894, 1063, 873, 630, 732, 553, 540, 5912, 543, 19944, 8462, 264, 1590, 581, 3989, 269, 1323, 1620, 540, 19916, 568, 3844, 547, 513, 5251, 1788, 543, 786, 723, 606, 3310, 593, 16148, 3344, 1644, 547, 519, 2686, 3344, 540, 519, 5251, 543, 875, 621, 568, 9228, 563, 763, 5251, 6561, 568, 711, 16876, 547, 2127, 540, 2027, 1719, 269, 1306, 2609, 616, 8032, 676, 1480, 2962, 267, 782, 8916, 723, 513, 1808, 16499, 11102, 1871, 269, 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 ]
[ 609, 1053, 267, 1210, 2318, 15699, 267, 543, 5466, 3765, 2041, 8326, 16425, 543, 9846, 269, 5015, 267, 6220, 2029, 543, 8465, 27939, 12417, 666, 849, 3895, 513, 811, 2502, 543, 8537, 1565, 1604, 780, 3080, 9621, 1935, 547, 4928, 2359, 568, 29260, 5126, 267, 799, 6212, 593, 28472, 2800, 3361, 676, 3765, 2041, 8326, 2864, 982, 3274, 5309, 5109, 1053, 269, 10163, 20753, 5126, 11363, 2792, 267, 6568, 267, 543, 1966, 9010, 267, 4543, 1053, 1451, 3407, 1514, 543, 3929, 1983, 1247, 5807, 513, 2631, 540, 2146, 543, 10362, 269, 20074, 29260, 5126, 2853, 538, 13460, 666, 2569, 30095, 3277, 23552, 267, 2087, 20343, 267, 543, 2333, 2949, 4081, 6278, 780, 1103, 3932, 267, 713, 1576, 1770, 814, 8268, 1896, 2565, 3344, 540, 1153, 5718, 267, 1519, 1353, 11226, 267, 4116, 13995, 630, 14588, 32496, 519, 16217, 343, 529, 11400, 1070, 543, 4928, 2359, 2553, 269, 4197, 543, 7598, 891, 2035, 3927, 666, 3648, 1764, 2875, 4093, 543, 3565, 547, 6209, 1153, 6454, 3646, 269, 5457, 602, 1373, 513, 1153, 6205, 568, 513, 4101, 2943, 14785, 3924, 267, 8506, 5571, 1565, 267, 2208, 267, 543, 5698, 269, 22737, 713, 4316, 547, 1831, 513, 8746, 543, 19579, 6205, 267, 8149, 547, 17284, 267, 9698, 267, 543, 5647, 538, 938, 4182, 781, 3506, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 298, 2077, 523, 589, 269, 31408, 267, 7917, 670, 269, 27215, 601, 30448, 267, 12789, 1421, 543, 2441, 773, 654, 269, 9652, 476, 1015, 269, 12553, 6187, 270, 309, 1704, 270, 296, 275, 24250, 276, 454, 4407, 513, 2178, 1560, 540, 2963, 3813, 999, 519, 7811, 5943, 4478, 519, 9015, 540, 5718, 2069, 267, 2518, 7569, 585, 1153, 6454, 543, 6205, 12477, 2709, 513, 8903, 4661, 585, 17105, 14046, 1719, 543, 513, 4514, 4685, 883, 5499, 1007, 2853, 543, 3069, 269, 1280, 713, 2601, 267, 6514, 540, 875, 519, 30028, 5784, 543, 20205, 3872, 5718, 568, 2629, 547, 11327, 3318, 11407, 543, 9439, 685, 1134, 5630, 563, 18662, 5718, 568, 2034, 1152, 547, 4928, 6044, 585, 3811, 3506, 630, 8867, 603, 6229, 267, 8402, 267, 18722, 267, 1299, 654, 22844, 560, 668, 267, 476, 1220, 275, 1040, 1280, 519, 2250, 476, 1428, 1296, 267, 2705, 267, 1857, 1153, 3401, 538, 519, 2136, 2276, 723, 5185, 13778, 2591, 538, 5870, 2799, 1533, 543, 5313, 7569, 547, 6318, 2875, 9740, 543, 2673, 7292, 543, 6803, 9740, 10616, 269, 634, 1007, 5272, 9906, 590, 1075, 12923, 2920, 630, 308, 2529, 269, 4972, 540, 4065, 267, 476, 1001, 276, 264, 543, 522, 1492, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29898, 15978, 1315, 11819, 27872, 630, 514, 743, 269, 16217, 343, 529, 264, 1315, 15858, 5004, 9828, 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 ]
[ 0, 258, 8212, 270, 13043, 692, 14006, 539, 676, 593, 16317, 288, 476, 274, 269, 271, 4846, 3625, 267, 7620, 538, 5163, 267, 568, 14593, 2059, 513, 8880, 6989, 676, 513, 3196, 674, 540, 9588, 476, 1240, 715, 693, 606, 5086, 815, 476, 3393, 4113, 609, 519, 8880, 269, 634, 11664, 540, 15452, 11508, 1063, 519, 3625, 543, 6989, 568, 476, 271, 269, 1839, 269, 630, 10112, 2541, 519, 2318, 4287, 568, 547, 519, 1318, 4700, 12433, 519, 9588, 540, 519, 535, 2774, 1308, 3196, 593, 519, 3625, 689, 519, 6989, 269, 12433, 519, 9588, 540, 519, 3625, 781, 10231, 780, 17954, 752, 519, 3196, 674, 538, 547, 7299, 543, 8880, 3334, 780, 293, 9689, 284, 630, 16936, 1341, 3196, 7299, 264, 14153, 692, 6339, 3196, 284, 12103, 454, 1817, 714, 7267, 674, 910, 3196, 11508, 815, 12103, 692, 302, 330, 267, 865, 713, 568, 1018, 594, 6836, 13718, 307, 815, 20410, 265, 332, 265, 326, 1315, 16733, 6523, 23940, 11924, 4157, 4433, 514, 23940, 4917, 307, 815, 16733, 269, 1839, 7565, 274, 7565, 280, 269, 279, 4297, 1315, 16733, 6523, 910, 3393, 11924, 263, 269, 1839, 7565, 7562, 910, 3393, 4917, 307, 815, 476, 1724, 269, 280, 715, 692, 6533, 10484, 293, 15187, 815, 544, 265, 326, 910, 570, 265, 7562, 263, 9064, 994, 293, 15187, 815, 630, 274, 7565, 280, 269, 279, 264, 910, 630, 1724, 269, 280, 31618, 7562, 910, 3393, 994, 293, 15187, 815, 476, 4375, 269, 273, 692, 6533, 10484, 325, 330, 815, 20410, 265, 293, 15187, 454, 325, 330, 815, 1547, 1839, 265, 4375, 269, 273, 454, 325, 330, 815, 476, 280, 269, 279, 692, 11039, 602, 729, 519, 4636, 2626, 855, 594, 1810, 1405, 1294, 4376, 4636, 609, 1250, 1935, 269, 7102, 10372, 11631, 286, 0, 258, 1215, 547, 1174, 19585, 20772, 593, 968, 9690, 621, 4733, 892, 630, 553, 31411, 593, 513, 4351, 4756, 286, 610, 593, 1978, 5036, 286, 2020, 296, 723, 513, 5311, 540, 4351, 4632, 543, 1616, 547, 960, 856, 519, 3877, 540, 513, 6169, 269, 634, 2278, 568, 711, 865, 4977, 267, 543, 646, 3096, 19585, 20772, 2418, 1269, 292, 263, 962, 1923, 2473, 17624, 7751, 1141, 1269, 311, 17624, 259, 568, 519, 1699, 1871, 540, 606, 27952, 1184, 267, 1269, 311, 3709, 330, 266, 272, 13157, 311, 17624, 1341, 2098, 17624, 8961, 1141, 1269, 313, 17624, 259, 616, 513, 4351, 4632, 10962, 4960, 630, 9767, 666, 2015, 513, 15002, 10973, 1376, 1448, 1269, 311, 318, 271, 259, 6393, 5804, 1018, 594, 1294, 972, 616, 1079, 2009, 2081, 547, 1174, 1269, 292, 7268, 10383, 1923, 2473, 17624, 7751, 1384, 272, 269, 634, 19585, 20772, 1223, 581, 1224, 607, 1269, 292, 263, 1422, 10383, 1923, 1422, 3189, 18652, 1422, 514, 1422, 29604, 1923, 2473, 17624, 7268, 18652, 6661, 343, 17624, 315, 348, 7751, 1141, 646, 1281, 711, 1118, 513, 3017, 1063, 1269, 311, 17624, 259, 630, 1492, 4351, 4756, 264, 543, 1269, 343, 17624, 259, 630, 527, 781, 1871, 6393, 273, 269, 634, 19585, 20772, 568, 3989, 607, 5205, 1269, 292, 263, 312, 347, 311, 17624, 6661, 292, 263, 312, 24689, 18406, 11583, 17624, 4297, 259, 609, 4399, 18406, 11583, 17624, 21174, 18406, 7268, 13997, 311, 17624, 8703, 268, 272, 12917, 288, 264, 1923, 589, 1422, 514, 1422, 24837, 346, 292, 4153, 348, 7751, 630, 1492, 10545, 4399, 18406, 27572, 531, 5040, 602, 3568, 891, 5036, 6393, 4263, 1101, 267, 594, 2219, 594, 1223, 946, 519, 1101, 4781, 267, 799, 8604, 2067, 547, 803, 267, 855, 1287, 594, 1336, 519, 4214, 602, 7028, 519, 2034, 4781, 780, 3674, 476, 273, 264, 538, 519, 1439, 519, 1482, 607, 476, 272, 21663, 1772, 476, 272, 264, 4636, 2496, 263, 763, 4351, 4632, 616, 1269, 312, 267, 2473, 17624, 281, 1422, 29604, 1422, 21375, 1422, 13992, 23334, 11892, 333, 259, 609, 645, 648, 331, 268, 7445, 18406, 27572, 531, 613, 30944, 4399, 24837, 346, 292, 11892, 333, 259, 6393, 4696, 291, 3633, 281, 1215, 1058, 835, 2070, 270, 5793, 13133, 4399, 18406, 7268, 13997, 311, 17624, 8703, 268, 272, 12917, 288, 264, 1923, 589, 1422, 514, 1422, 24837, 346, 292, 4153, 348, 7751, 2496, 8894, 306, 15384, 30829, 676, 519, 2626, 286, 1107, 1109, 12441, 3967, 476, 3066, 1412, 1321, 693, 476, 280, 281, 1240, 692, 2026, 596, 917, 267, 1269, 292, 263, 312, 347, 311, 17624, 7751, 568, 513, 4351, 4756, 267, 543, 972, 6818, 513, 22905, 1599, 1269, 340, 259, 971, 602, 1269, 292, 263, 312, 347, 311, 17624, 6661, 340, 11583, 17624, 30879, 2201, 519, 824, 1688, 267, 950, 1269, 311, 17624, 259, 568, 15768, 267, 1269, 292, 263, 312, 347, 311, 17624, 24210, 7751, 568, 513, 1297, 2094, 1269, 292, 263, 312, 347, 311, 17624, 24210, 6661, 292, 11583, 272, 318, 288, 8358, 303, 10490, 7751, 609, 1269, 288, 17342, 311, 17624, 24210, 316, 10608, 634, 8545, 568, 513, 2027, 2013, 540, 519, 5449, 538, 519, 2631, 602, 1269, 292, 263, 312, 347, 311, 17624, 24210, 6661, 340, 3287, 7751, 563, 1607, 4667, 2312, 547, 803, 267, 855, 594, 1810, 1405, 1745, 547, 1174, 1250, 3312, 2243, 1732, 281, 263, 9320, 594, 1058, 7369, 1250, 2243, 910, 1215, 666, 594, 4612, 476, 273, 21663, 630, 7445, 18406, 11583, 17624, 21174, 18406, 7268, 13997, 311, 17624, 8703, 268, 272, 12917, 288, 264, 1923, 589, 1422, 514, 1422, 24837, 346, 292, 4153, 348, 7751, 568, 711, 1360, 16022, 264, 1656, 538, 519, 6024, 2013, 267, 865, 1058, 594, 16153, 602, 1269, 292, 263, 312, 24689, 346, 2473, 17624, 24210, 1422, 348, 7751, 543, 1269, 292, 263, 312, 347, 311, 17624, 7751, 8428, 910, 835, 942, 594, 2783, 519, 20772, 1871, 835, 1808, 6364, 1269, 343, 8961, 538, 519, 2034, 2165, 594, 2783, 1202, 29347, 3745, 593, 1022, 6364, 269, 1924, 621, 1152, 4667, 547, 803, 602, 519, 1079, 7215, 616, 2147, 1317, 594, 1589, 540, 606, 17062, 1269, 343, 259, 1862, 1107, 1109, 297, 2129, 2335, 525, 700, 4119, 476, 273, 1412, 1556, 693, 476, 1691, 281, 3953, 454, 296, 1058, 4440, 2446, 602, 4399, 346, 311, 17624, 13064, 272, 12917, 288, 31206, 288, 22174, 315, 24837, 346, 292, 4153, 4151, 1373, 513, 29178, 21943, 3630, 267, 4399, 18406, 11583, 17624, 7751, 568, 538, 1249, 4399, 346, 311, 17624, 13064, 272, 12917, 288, 31206, 288, 22174, 315, 24837, 346, 292, 4153, 23201, 4746, 267, 596, 666, 5372, 476, 273, 264, 676, 519, 3044, 4214, 540, 1269, 292, 263, 312, 24689, 18406, 11583, 17624, 4297, 284, 292, 263, 312, 347, 311, 17624, 7751, 607, 519, 630, 531, 2865, 15983, 264, 2189, 4351, 4756, 1269, 313, 259, 971, 602, 630, 328, 264, 1269, 313, 259, 568, 4399, 18406, 11583, 17624, 7751, 268, 1889, 553, 9092, 543, 630, 4512, 264, 1269, 292, 263, 312, 272, 318, 288, 6661, 292, 263, 313, 272, 318, 288, 7751, 585, 1169, 1269, 288, 259, 538, 4399, 18406, 11583, 17624, 30879, 7053, 630, 328, 264, 568, 6697, 547, 630, 328, 10807, 972, 6818, 513, 22905, 1269, 340, 259, 971, 602, 1269, 313, 284, 340, 11583, 17624, 7751, 543, 630, 4512, 264, 568, 6697, 547, 630, 4512, 10807, 585, 1169, 22905, 1269, 289, 8961, 1269, 292, 263, 312, 282, 311, 17624, 22174, 645, 6661, 292, 263, 313, 282, 311, 17624, 22174, 645, 30879, 1107, 1109, 12441, 4119, 476, 273, 1412, 1556, 693, 476, 1428, 281, 1691, 454, 296, 8068, 267, 602, 594, 1223, 2328, 3230, 311, 17624, 13064, 272, 32710, 346, 343, 17624, 315, 16585, 815, 1422, 3189, 18652, 1422, 514, 1422, 29604, 1422, 13232, 2473, 17624, 7268, 18652, 6661, 343, 17624, 1422, 6525, 630, 1492, 10035, 1269, 325, 13064, 272, 4151, 585, 840, 13548, 267, 711, 519, 11201, 1599, 264, 799, 1131, 581, 519, 2680, 540, 1250, 7664, 476, 272, 264, 543, 568, 835, 3693, 540, 519, 29178, 25575, 5040, 4399, 346, 311, 17624, 13064, 272, 12917, 288, 264, 1422, 13232, 589, 1422, 514, 1422, 24837, 346, 292, 348, 1422, 4151, 585, 1269, 288, 7807, 346, 343, 17624, 315, 4151, 630, 628, 3471, 585, 519, 20726, 602, 519, 3606, 4399, 18406, 259, 568, 711, 683, 1720, 776, 264, 594, 1589, 594, 723, 547, 1589, 811, 827, 713, 547, 1174, 1732, 267, 543, 594, 1589, 594, 723, 547, 8263, 4214, 476, 273, 264, 609, 707, 24909, 689, 519, 2063, 6085, 543, 1294, 952, 7965, 538, 1620, 8451, 269, 8729, 513, 2603, 7711, 323, 573, 1107, 1109, 297, 2129, 2335, 525, 700, 4119, 476, 274, 1412, 1556, 693, 476, 279, 281, 6872, 0, 258, 6323, 692, 288, 1268, 4171, 2597, 568, 476, 2004, 278, 715, 568, 1373, 15504, 909, 19794, 676, 513, 18052, 689, 519, 5377, 540, 513, 13946, 602, 568, 476, 1789, 269, 272, 544, 2620, 269, 634, 5021, 8082, 602, 519, 18052, 666, 16641, 1510, 8840, 568, 476, 276, 3445, 715, 269, 1548, 568, 519, 20125, 942, 267, 4358, 689, 1964, 267, 538, 799, 519, 1268, 666, 581, 4547, 856, 540, 519, 13946, 2496, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 274, 269, 26461, 479, 454, 272, 269, 654, 284, 8406, 284, 11417, 332, 284, 310, 17320, 815, 476, 2004, 278, 1315, 280, 269, 279, 815, 476, 7906, 269, 278, 4846, 780, 2742, 284, 307, 2173, 326, 454, 320, 284, 570, 8276, 910, 575, 21591, 284, 276, 3445, 270, 7906, 269, 278, 910, 476, 280, 269, 279, 815, 476, 272, 269, 277, 544, 4882, 11054, 692, 327, 284, 520, 11054, 270, 273, 454, 339, 284, 21762, 263, 273, 327, 21669, 264, 21591, 284, 6912, 263, 273, 1892, 1789, 269, 272, 270, 272, 269, 277, 264, 815, 277, 269, 1724, 521, 780, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 8212, 692, 288, 476, 1704, 269, 271, 4846, 1835, 622, 568, 15504, 513, 3845, 540, 476, 736, 269, 271, 544, 8506, 602, 476, 13199, 271, 808, 537, 956, 540, 960, 581, 2944, 269, 1403, 519, 2816, 568, 2944, 676, 1140, 2286, 513, 18052, 543, 17444, 609, 513, 3196, 540, 476, 4037, 1715, 27971, 267, 693, 1018, 5086, 568, 519, 18052, 4371, 2496, 273, 269, 12693, 6726, 553, 692, 288, 10935, 568, 15504, 883, 513, 546, 1442, 676, 1797, 540, 513, 18052, 7923, 547, 513, 5102, 2917, 593, 519, 546, 1442, 269, 634, 18052, 568, 7923, 547, 519, 6367, 540, 519, 10935, 693, 513, 1448, 476, 1015, 10264, 2630, 519, 5102, 2917, 269, 1403, 519, 18052, 568, 15504, 998, 519, 5102, 2917, 693, 513, 2557, 540, 476, 736, 10264, 26553, 267, 693, 692, 274, 269, 12693, 6323, 692, 288, 5230, 4216, 568, 15504, 2066, 513, 11308, 6989, 609, 513, 18052, 269, 634, 18052, 3029, 606, 5086, 540, 476, 2568, 269, 271, 334, 609, 519, 6989, 269, 589, 8082, 540, 476, 3199, 269, 271, 301, 568, 9738, 593, 519, 18052, 269, 1548, 616, 519, 8880, 543, 7299, 3334, 540, 519, 3196, 2496, 275, 269, 12693, 6323, 692, 272, 269, 634, 4398, 540, 513, 2695, 324, 21294, 5102, 2917, 1062, 568, 476, 10463, 2600, 269, 634, 5102, 18436, 616, 1031, 547, 6318, 513, 2527, 547, 513, 1978, 4463, 269, 1548, 3196, 568, 25116, 593, 519, 3684, 952, 513, 18052, 568, 15504, 476, 1240, 269, 271, 544, 538, 1931, 547, 6318, 513, 476, 6812, 4846, 2527, 513, 4463, 540, 476, 274, 269, 271, 692, 272, 269, 12693, 6323, 692, 8340, 519, 960, 2944, 950, 513, 476, 736, 4846, 521, 1194, 568, 15504, 2066, 1377, 2666, 676, 513, 18052, 602, 2306, 513, 476, 2004, 2554, 5086, 609, 519, 8880, 269, 634, 521, 1194, 7575, 476, 2412, 544, 543, 519, 18052, 568, 15504, 609, 476, 1015, 715, 540, 3196, 269, 1403, 519, 960, 2944, 676, 11508, 568, 476, 13301, 808, 267, 1018, 692, 273, 269, 12693, 8212, 692, 288, 476, 6321, 11899, 2875, 8255, 693, 476, 276, 332, 4882, 267, 1178, 2125, 513, 16304, 18052, 543, 23638, 856, 936, 513, 10720, 269, 1261, 13847, 519, 18052, 950, 1010, 6991, 568, 4642, 269, 634, 3259, 540, 519, 18052, 568, 476, 1015, 332, 267, 1018, 568, 519, 5086, 950, 646, 13847, 519, 18052, 286, 630, 763, 1268, 23638, 689, 519, 692, 274, 269, 12693, 6323, 991, 948, 726, 345, 692, 2304, 11460, 540, 1079, 5102, 18436, 267, 607, 3254, 538, 519, 4137, 267, 568, 1031, 547, 12740, 513, 476, 5392, 269, 277, 10275, 326, 2527, 513, 3845, 540, 476, 274, 269, 3583, 544, 1657, 519, 4358, 1448, 269, 27539, 519, 5102, 18436, 543, 18052, 616, 4998, 543, 602, 782, 18052, 6810, 616, 9247 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11796, 4972, 540, 18815, 5517, 3883, 2580, 533, 269, 476, 278, 269, 24104, 4721, 616, 519, 3791, 1826, 540, 29109, 538, 12425, 543, 616, 9286, 607, 2901, 1101, 11665, 610, 2034, 11665, 10034, 4721, 269, 12425, 8843, 519, 25084, 834, 13349, 17314, 257, 609, 9098, 267, 17996, 543, 12590, 269, 1924, 267, 538, 476, 9692, 280, 519, 4937, 13909, 6410, 547, 519, 19903, 2120, 3938, 628, 1787, 267, 543, 6368, 538, 476, 8687, 273, 547, 20831, 7921, 269, 12425, 3091, 513, 1297, 540, 8037, 31768, 11614, 267, 1519, 6682, 601, 16047, 267, 1230, 928, 2246, 8235, 5244, 267, 16910, 2284, 5244, 1299, 8187, 4248, 8003, 267, 10656, 24090, 1633, 267, 5548, 294, 4592, 810, 781, 2549, 2224, 618, 5244, 267, 670, 619, 515, 2988, 1046, 267, 16740, 548, 32612, 5244, 267, 918, 10154, 6229, 267, 12928, 4141, 321, 1564, 267, 8235, 23992, 5244, 267, 9995, 31069, 4826, 335, 1046, 267, 590, 525, 877, 9255, 267, 4279, 16423, 700, 17690, 543, 9546, 323, 877, 518, 5244, 269, 634, 1101, 2622, 10022, 1063, 519, 11785, 15815, 15317, 338, 630, 6518, 2968, 519, 11785, 4414, 1924, 343, 264, 543, 29016, 623, 29521, 729, 5129, 538, 29016, 538, 476, 5002, 274, 269, 476, 1306, 540, 476, 1220, 276, 267, 476, 10695, 269, 279, 260, 540, 12425, 7264, 2085, 476, 1240, 547, 476, 2190, 723, 6192, 1164, 1153, 269, 634, 4099, 540, 2551, 540, 12425, 568, 4092, 538, 31473, 6019, 267, 538, 519, 18664, 965, 540, 14480, 322, 27553, 269, 10738, 519, 1101, 3368, 540, 476, 1220, 274, 267, 519, 5993, 1855, 330, 14150, 862, 1878, 538, 29016, 269, 2136, 2276, 16672, 540, 14412, 267, 25799, 13482, 630, 18197, 2276, 1070, 5903, 540, 772, 2529, 269, 2829, 676, 4266, 540, 16075, 547, 519, 5742, 267, 16707, 689, 513, 10787, 1067, 538, 12425, 267, 1677, 519, 769, 4725, 527, 1218, 540, 519, 3703, 16690, 625, 267, 5903, 540, 12425, 17521, 676, 829, 21027, 4747, 267, 5903, 540, 12425, 6753, 676, 829, 21027, 4747, 267, 5903, 540, 10034, 543, 18664, 965, 338, 538, 12425, 267, 5903, 540, 10315, 16295, 538, 12425, 630, 2421, 2551, 1070, 5903, 540, 14829, 17393, 793, 730, 4025, 538, 12425, 267, 5903, 540, 12621, 543, 9945, 538, 12425, 267, 12425, 3557, 3590, 540, 14451, 4065, 267, 8235, 661, 4471, 5441, 540, 27777, 24403, 6925, 267, 2160, 540, 519, 7070, 538, 15740, 267, 5903, 540, 1857, 18302, 8128, 538, 12425, 267, 12425, 4972, 540, 18815, 267, 590, 21750, 12425, 18815, 16958, 267, 715, 7563, 288, 10406, 594, 25624, 30558, 4427, 15965, 1707, 267, 834, 292, 4582, 725, 543, 5940, 1734, 538, 519, 2136, 2276, 2580, 834, 7197, 9275, 4654, 538, 12425, 538, 476, 1001, 271, 2580, 834, 14197, 11076, 1467, 543, 1744, 648, 1467, 631, 850, 720, 540, 519, 2136, 2276, 2580, 476, 1220, 277, 18926, 17593, 281, 17323, 1299, 5113, 281, 8092, 543, 8092, 2422, 267, 834, 13233, 5244, 6796, 281, 3776, 19549, 1744, 648, 2580, 834, 20458, 6176, 1765, 13233, 16661, 6796, 6239, 13698, 2580, 25943, 585, 519, 19435, 540, 12425, 268, 12739, 272, 267, 834, 310, 2297, 593, 2826, 2335, 807, 281, 12700, 6168, 12986, 1299, 519, 21730, 2580, 4179, 2517, 874, 559, 14702, 1890, 743, 31638, 3820, 270, 1105, 633, 14121, 805, 344, 6361, 6879, 871, 600, 19414, 268, 273, 32551, 4179, 2517, 327, 5200, 322, 640, 874, 10042, 3820, 270, 1001, 275, 270, 4962, 270, 27920, 2685, 3146, 332, 1897, 532, 7308, 268, 3530, 762, 14633, 32551, 834, 2304, 2272, 540, 519, 7415, 20825, 538, 519, 1272, 543, 12599, 540, 29962, 6276, 8055, 630, 299, 622, 513, 12504, 540, 25816, 2548, 6019, 267, 17996, 264, 2433, 1282, 1010, 24811, 609, 519, 12075, 267, 538, 519, 1296, 476, 11260, 276, 10086, 6321, 267, 1412, 6872, 267, 1412, 6812, 267, 1299, 1412, 6795, 2580, 834, 299, 3869, 540, 6837, 281, 12729, 6054, 1765, 763, 16672, 540, 14412, 2580, 834, 303, 523, 11796, 3731, 5809, 519, 9139, 540, 476, 9965, 278, 2580, 834, 763, 2817, 5983, 7370, 540, 519, 2136, 2276, 2580, 834, 12988, 326, 709, 837, 593, 519, 8422, 631, 850, 6816, 6452, 1211, 2580, 834, 1103, 3567, 267, 4600, 10010, 547, 13622, 909, 1379, 547, 30738, 2313, 9874, 19720, 2580, 834, 303, 523, 11796, 16797, 293, 9711, 689, 519, 2475, 17227, 13163, 2580, 3627, 18200, 13908, 795, 23750, 329, 7564, 331, 329, 650, 7564, 5845, 12818, 12978, 817, 320, 267, 962, 4041, 281, 3627, 18200, 13908, 4852, 344, 704, 7564, 861, 2106, 1170, 7564, 14105, 2145, 2459, 8759, 267, 834, 13563, 7991, 11752, 476, 274, 268, 17413, 6480, 23660, 2580, 834, 23208, 17227, 10803, 593, 15510, 570, 582, 1023, 1635, 17813, 267, 476, 9692, 271, 547, 476, 1960, 271, 267, 543, 1635, 17104, 18882, 267, 476, 3192, 271, 547, 476, 1960, 271, 267, 1280, 634, 2136, 2276, 267, 3204, 687, 267, 6555, 2888, 267, 543, 2276, 2580, 834, 10932, 16684, 2433, 634, 20448, 781, 24722, 11905, 585, 15510, 543, 9483, 10803, 2580, 834, 303, 340, 15300, 681, 15092, 23680, 715, 28629, 269, 7797, 15681, 338, 7316, 1358, 3619, 1765, 28495, 549, 632, 6480, 644, 3930, 10658, 1068, 528, 686, 4302, 10722, 657, 2580, 834, 763, 323, 2905, 329, 16067, 1765, 303, 340, 15300, 22656, 781, 2551, 608, 21402, 568, 782, 827, 6009, 2580, 834, 16954, 1637, 543, 15510, 15544, 676, 3557, 1765, 1220, 271, 2580, 834, 8368, 476, 1626, 281, 1763, 1211, 15510, 676, 6520, 543, 3557, 281, 476, 1001, 271, 2580, 834, 22102, 9351, 20677, 543, 24770, 6480, 23660, 2580, 834, 13233, 966, 1388, 10803, 18614, 11730, 476, 6858, 267, 7089, 476, 272, 267, 5130, 476, 4029, 267, 476, 1001, 279, 2580, 834, 9824, 16406, 5888, 540, 4079, 538, 12425, 2580, 834, 763, 5948, 540, 15215, 4578, 19964, 1923, 3557, 16840, 1222, 7797, 2580, 834, 8649, 880, 13474, 1923, 11882, 1923, 6250, 3218, 6176, 2580, 834, 293, 12188, 4937, 10985, 2276, 630, 1001, 271, 28931, 30022, 299, 1235, 1765, 763, 5948, 540, 15215, 4578, 19964, 2580, 834, 6124, 24900, 3767, 2274, 770, 16241, 3557, 538, 772, 2529, 2580, 834, 27751, 585, 29120, 18831, 543, 23527, 2580, 834, 7343, 324, 1023, 5480, 14797, 16833, 909, 609, 1445, 593, 28056, 4254, 16478, 2580, 834, 310, 531, 5336, 691, 25568, 14529, 269, 1592, 540, 4102, 4357, 12820, 2580, 834, 303, 523, 11796, 12654, 543, 3131, 4211, 777, 7534, 12654, 1923, 4972, 540, 10606, 2580, 834, 303, 523, 11796, 281, 1483, 12654, 2208, 476, 1220, 271, 1700, 1001, 278, 1923, 6465, 2065, 2580, 834, 30860, 281, 4578, 711, 2139, 281, 772, 2529, 269, 13163, 540, 8534, 10803, 2580, 834, 1432, 568, 13698, 2776, 31084, 286, 13780, 538, 12736, 655, 1136, 8783, 5126, 568, 5462, 676, 9972, 640, 269, 1496, 476, 15946, 9948, 519, 7040, 269, 476, 7830, 9948, 689, 476, 6942, 277, 547, 519, 3844, 6149, 538, 606, 2895, 799, 6585, 782, 540, 519, 20448, 540, 568, 256, 12425, 17912, 13870, 3454, 5491, 3459, 538, 476, 1220, 275, 543, 25623, 519, 1646, 540, 513, 4544, 593, 256, 17135, 1185, 1044, 17204, 585, 556, 324, 3005, 16073, 540, 5721, 21525, 582, 1161, 538, 519, 2038, 476, 8182, 271, 338, 1851, 10656, 269, 476, 866, 1320, 6441, 17999, 538, 519, 4182, 538, 12736, 655, 1136, 5518, 538, 1169, 9550, 1063, 476, 1960, 273, 543, 476, 1001, 273, 267, 12070, 7719, 5174, 19128, 623, 8636, 8725, 256, 1677, 513, 14758, 6708, 982, 26081, 345, 11337, 577, 1575, 568, 519, 1533, 1412, 338, 1152, 267, 543, 476, 3422, 279, 267, 607, 949, 256, 645, 7867, 5162, 540, 476, 10082, 278, 1700, 4281, 12599, 519, 5266, 2110, 3845, 1063, 11882, 543, 1715, 3840, 998, 661, 4471, 6019, 267, 6019, 1862, 8828, 267, 594, 11803, 13477, 1153, 21000, 1588, 267, 519, 631, 9222, 1656, 21884, 328, 15913, 540, 5198, 10256, 688, 2812, 689, 538, 269, 4256, 3656, 13035, 4567, 519, 4050, 11796, 1533, 28215, 3454, 11411, 2098, 302, 302, 4456, 2207, 32177, 616, 824, 8037, 18186, 657, 25455, 595, 768, 534, 519, 538, 269, 2107, 513, 1259, 547, 1628, 513, 6216, 538, 2480, 7949, 517, 267, 519, 631, 11862, 3217, 1101, 1862, 2290, 602, 2663, 11843, 547, 12425, 729, 519, 2034, 3368, 540, 476, 1220, 274, 267, 519, 15740, 1016, 31755, 723, 2220, 2426, 17044, 256, 2136, 2276, 267, 519, 6601, 628, 1066, 267, 543, 1631, 814, 9746, 22071, 538, 19903, 2120, 2749, 1412, 338, 12815, 787, 256, 9255, 2282, 5192, 339, 903, 7921, 16073, 540, 5721, 21525, 582, 1161, 538, 519, 5742, 267, 7258, 7147, 543, 17665, 12425, 519, 15165, 3854, 269, 13129, 547, 519, 19416, 4012, 6509, 5998, 3738, 3345, 547, 3162, 543, 476, 27543, 5195, 476, 28638, 1862, 476, 2004, 6845, 2209, 543, 476, 10711, 24929, 12425, 8513, 729, 31713, 538, 519, 2136, 2807, 910, 12425, 910, 12425, 910, 1533, 28215, 5998, 3738, 540, 519, 2051, 3415, 543, 11776, 689, 824, 2477, 8507, 513, 1862, 5441, 729, 32738, 2947, 2395, 1310, 519, 853, 2086, 2920, 6837, 540, 476, 12293, 276, 267, 3627, 1862, 12425, 729, 772, 680, 663, 630, 476, 28638, 5998, 3738, 5101, 547, 7178, 519, 1977, 28011, 12070, 7719, 5174, 19128, 267, 623, 8636, 8725, 267, 715, 656, 4815, 651, 267, 543, 11776, 689, 824, 2477, 8507, 538, 513, 6175, 540, 267, 256, 8382, 585, 519, 14891, 19044, 585, 5518, 538, 1169, 9550, 1063, 476, 1960, 273, 543, 476, 1001, 273, 10656, 4032, 625, 609, 741, 10656, 2807, 1809, 711, 607, 513, 2749, 602, 2663, 11843, 547, 12425, 729, 3957, 1310, 2276, 256, 4746, 814, 1896, 12183, 12849, 607, 621, 1281, 538, 14522, 4870, 622, 519, 9304, 2488, 18302, 1668, 543, 1769, 3028, 1862, 6182, 1218, 547, 606, 1367, 538, 1686, 547, 1930, 1715, 1269, 476, 275, 300, 4087, 693, 5590, 517, 2160, 256, 24722, 772, 2529, 269, 17227, 1293, 538, 476, 1001, 271, 2782, 267, 519, 5441, 729, 32738, 2947, 2395, 1310, 519, 540, 256, 1323, 1367, 538, 1686, 28215, 6902, 23319, 281, 12425, 729, 519, 4099, 540, 2551, 540, 12425, 1412, 338, 1152, 2817, 896, 256, 901, 3296, 581, 1082, 1533, 14761, 723, 6836, 547, 2333, 519, 2671, 540, 9204, 676, 1862, 6019, 538, 12425, 568, 12181, 519, 1325, 2129, 320, 1533, 15234, 568, 513, 4704, 547, 519, 20090, 24804, 1862, 769, 1686, 6519, 5095, 3096, 2817, 22497, 476, 272, 544, 6416, 2185, 1296, 2663, 538, 519, 4182, 267, 799, 547, 1862, 769, 3013, 25743, 676, 476, 272, 269, 273, 2929, 519, 631, 3317, 517, 2572, 267, 519, 4871, 540, 3345, 3013, 568, 851, 2199, 1862, 2986, 1488, 916, 729, 17101, 676, 519, 4937, 13909, 2882, 476, 2004, 6845, 2209, 543, 476, 10711, 24929, 8547, 519, 1862, 589, 3126, 540, 12388, 619, 267, 519, 4365, 647, 4242, 267, 855, 711, 607, 21354, 607, 621, 1281, 538, 2807, 4032, 538, 476, 1001, 271, 2127, 538, 519, 2038, 476, 8182, 271, 338, 1851, 519, 1034, 29245, 4872, 616, 15740, 630, 476, 272, 267, 276, 3199, 267, 279, 8287, 3738, 543, 256, 25672, 657, 1331, 519, 631, 3317, 517, 2572, 267, 519, 9527, 525, 267, 543, 17104, 8129, 7851, 6029, 519, 540, 256, 2060, 1715, 267, 13059, 1053, 15234, 540, 5198, 10256, 688, 2812, 689, 9294, 732, 628, 538, 519, 4182, 1367, 538, 1686, 25789, 19199, 256, 12984, 2899, 1586, 6074, 547, 581, 524, 2784, 548, 547, 519, 19903, 2120, 3938, 628, 1787, 267, 1496, 476, 8287, 9948, 26434, 269, 11894, 267, 543, 13082, 2749, 568, 4092, 538, 5548, 23992, 267, 12425, 568, 519, 8783, 1876, 11268, 8116, 538, 519, 2276, 1862, 5853, 539, 676, 18148, 27538, 543, 3957, 1310, 519, 15521, 540, 8303, 593, 5181, 476, 280, 267, 2807, 5221, 835, 21017, 540, 12425, 568, 4092, 538, 661, 4471, 540, 7247, 946, 6517, 543, 5201, 2540, 12425, 1862, 634, 20923, 3552, 21429, 10122, 2276, 538, 519, 2136, 2276, 538, 476, 1001, 273, 267, 2687, 519, 256, 1284, 531, 15234, 630, 1134, 5630, 3738, 540, 519, 4436, 1234, 11526, 21000, 1588, 689, 519, 476, 1626, 628, 10601, 5053, 267, 1412, 290, 8932, 1412, 476, 16659, 330, 8932, 513, 6694, 1862, 10426, 515, 3738, 568, 1759, 538, 29016, 538, 476, 1001, 273, 267, 2687, 547, 519, 1533, 14130, 267, 25455, 595, 768, 534, 519, 11683, 640, 519, 1862, 21518, 607, 1434, 607, 4154, 610, 8988, 11113, 1317, 540, 741, 3656, 13035, 4567, 2274, 14683, 2160, 568, 13956, 656, 256, 4425, 821, 543, 595, 13702, 9116, 11833, 2982, 602, 2947, 540, 519, 20448, 540, 12425, 568, 476, 1839, 628, 28376, 256, 3657, 8370, 8732, 16394, 2066, 519, 1533, 269, 1496, 476, 10463, 9948, 538, 31473 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4438, 519, 18287, 1588, 1900, 267, 519, 20024, 4154, 5536, 3622, 1332, 547, 3677, 3283, 267, 865, 513, 5730, 1852, 540, 519, 715, 11679, 2450, 568, 2352, 609, 891, 2409, 269, 2201, 519, 824, 2427, 267, 2168, 2409, 630, 11901, 291, 267, 6869, 21288, 20211, 26736, 2742, 3493, 3789, 264, 616, 15777, 543, 1450, 5730, 2450, 3892, 540, 519, 4154, 715, 11679, 593, 5885, 2326, 267, 855, 789, 2115, 1808, 543, 27763, 3457, 563, 1103, 713, 960, 267, 606, 3312, 3114, 1505, 547, 5965, 4154, 715, 11679, 20024, 593, 513, 4496, 12547, 568, 4843, 269, 3143, 18287, 1588, 568, 2838, 269, 634, 4154, 24888, 568, 22743, 340, 5141, 275, 269, 634, 12547, 1031, 607, 5885, 1570, 1590, 723, 513, 22917, 15362, 2497, 269, 769, 713, 960, 267, 649, 3442, 606, 29457, 643, 650, 3780, 5123, 630, 18693, 274, 269, 1839, 17442, 271, 269, 4037, 307, 328, 274, 302, 1321, 1040, 763, 7041, 5161, 538, 1079, 3268, 269, 3689, 267, 16864, 568, 954, 5632, 730, 538, 519, 12547, 2497, 267, 1210, 562, 1532, 583, 2643, 2000, 603, 1756, 269, 2991, 11067, 543, 15018, 693, 4055, 2837, 267, 513, 7123, 12776, 7007, 7623, 568, 5833, 267, 538, 799, 930, 17285, 524, 725, 723, 1044, 4389, 693, 513, 2539, 16617, 1533, 1547, 3973, 267, 519, 12776, 7007, 8869, 568, 6404, 609, 513, 4154, 24888, 538, 25694, 3070, 269, 7108, 12274, 616, 2047, 4389, 2282, 519, 1489, 7252, 267, 1510, 1022, 824, 4227, 8665, 269, 543, 519, 20543, 616, 4646, 1152, 1140, 515, 12547, 2627, 543, 789, 616, 1134, 24797, 630, 29664, 476, 272, 1040, 769, 1840, 267, 519, 715, 11679, 5250, 568, 10483, 676, 513, 9864, 1642, 8727, 540, 519, 12547, 9274, 799, 616, 9674, 538, 6289, 6955, 622, 7410, 630, 14808, 999, 476, 273, 543, 476, 274, 1916, 763, 2326, 723, 1044, 6353, 676, 5907, 9145, 641, 625, 630, 295, 11965, 4932, 267, 570, 4932, 264, 693, 1142, 1900, 540, 519, 7041, 1184, 269, 634, 1198, 540, 519, 4154, 5834, 814, 1044, 11567, 543, 519, 737, 27282, 540, 519, 715, 11679, 18254, 814, 1044, 6594, 676, 11158, 13305, 3041, 21655, 630, 29664, 476, 275, 1070, 1210, 519, 4154, 715, 11679, 22297, 9842, 3000, 2627, 16982, 3959, 563, 6875, 328, 267, 570, 269, 1696, 620, 282, 670, 2678, 15119, 9697, 4519, 676, 7108, 267, 538, 25790, 769, 9697, 4519, 267, 476, 4649, 267, 476, 272, 268, 14695, 267, 476, 1001, 273, 267, 8222, 281, 476, 1015, 269, 6200, 277, 20324, 7818, 268, 271, 268, 1321, 268, 4343, 276, 276, 1626, 268, 280, 269, 1822, 4905, 268, 277, 454, 4258, 341, 718, 1512, 267, 966, 269, 1696, 620, 1421, 1401, 9110, 7007, 6289, 6955, 622, 7410, 540, 606, 29457, 643, 650, 3780, 5123, 267, 4437, 274, 269, 1839, 17442, 271, 269, 4037, 307, 328, 274, 302, 1321, 281, 10886, 5314, 676, 2473, 11920, 32250, 543, 676, 1164, 22822, 6475, 22794, 267, 808, 269, 540, 20348, 3557, 11061, 267, 476, 8687, 267, 476, 275, 4375, 1700, 4510, 280, 267, 476, 1220, 279, 8222, 281, 1015, 269, 6200, 277, 10768, 12459, 1087, 322, 269, 1220, 278, 269, 1321, 269, 23713, 454, 2414, 13712, 713, 7493, 281, 309, 597, 6265, 773, 595, 4047, 309, 17920, 296, 2207, 267, 966, 2946, 1258, 1664, 631, 4696, 5456, 5495, 282, 19369, 543, 7293, 18572, 540, 30080, 20543, 6462, 593, 4496, 12547, 6289, 6955, 622, 7410, 585, 3032, 4519, 676, 513, 1007, 1079, 9912, 1505, 907, 634, 476, 1626, 628, 3864, 5843, 2675, 4878, 6837, 267, 10370, 517, 267, 5333, 269, 4179, 2517, 655, 322, 3491, 17503, 2593, 270, 629, 5724, 270, 2181, 1706, 566, 7146, 3613, 24780, 7302, 541, 1461, 1436, 6361, 268, 879, 5991, 534, 641, 14895, 23418, 9285, 6823, 2173, 13926, 268, 6448, 5991, 534, 6955, 622, 7410, 16519, 2275, 520, 4519, 8386, 8584, 20642, 26690, 9912, 2173, 1385, 28918, 21700, 281, 5412, 476, 273, 267, 476, 1708, 274, 454, 4932, 290, 17593, 338, 910, 4179, 2517, 655, 322, 3491, 17503, 2593, 270, 629, 5724, 270, 2181, 1706, 566, 7146, 3613, 24780, 7302, 541, 1461, 1436, 6361, 268, 879, 5991, 534, 641, 14895, 23418, 9285, 6823, 2173, 13926, 268, 6448, 5991, 534, 6955, 622, 7410, 16519, 2275, 520, 4519, 8386, 8584, 20642, 26690, 9912, 2173, 1385, 270, 0, 30399, 267, 27601, 941, 6896, 547, 6318, 2724, 585, 1585, 5301, 269, 30410, 8240, 1131, 581, 13752, 547, 1346, 945, 941, 5697, 693, 4351, 689, 513, 1804, 1895, 540, 1004, 269, 901, 1826, 540, 13169, 729, 1360, 1455, 538, 3504, 7507, 269, 634, 26065, 941, 1419, 17195, 3688, 267, 971, 607, 5386, 12129, 2264, 269, 17497, 267, 1034, 27601, 616, 2196, 547, 8670, 856, 6666, 26065, 269, 769, 824, 2665, 267, 27601, 616, 1031, 547, 1118, 2386, 602, 782, 23078, 616, 2016, 513, 4023, 4960, 950, 621, 2501, 547, 13844, 513, 5551, 1434, 610, 3028, 269, 6201, 1331, 513, 13169, 585, 4559, 538, 513, 13564, 1242, 8027, 3625, 610, 9656, 1747, 906, 693, 513, 1978, 1153, 563, 5278, 2829, 723, 4031, 1996, 1210, 27601, 547, 6318, 7482, 267, 1247, 1866, 23596, 873, 543, 946, 873, 547, 7110, 4540, 2959, 540, 8907, 269, 20769, 6670, 8907, 814, 6738, 5488, 982, 1533, 3454, 19614, 267, 543, 621, 779, 2693, 547, 3136, 547, 1332, 538, 519, 2104, 269, 634, 13169, 666, 581, 1031, 547, 1683, 513, 2647, 3099, 540, 2640, 267, 1519, 2069, 267, 1072, 267, 543, 5989, 563, 3080, 540, 519, 1292, 6835, 602, 13169, 862, 3827, 7048, 593, 568, 547, 2995, 1004, 602, 519, 2724, 789, 2628, 585, 17914, 568, 1434, 585, 519, 1533, 269, 634, 1966, 609, 713, 568, 602, 621, 25848, 999, 519, 1249, 602, 27601, 616, 1360, 1036, 4809, 269, 4658, 538, 519, 5377, 30883, 850, 540, 26038, 1810, 1406, 723, 2614, 24787, 776, 2724, 547, 6108, 513, 2603, 593, 17914, 269, 1656, 865, 789, 1439, 909, 13564, 1944, 519, 1964, 540, 721, 563, 4407, 1082, 1004, 5326, 827, 10888, 519, 13169, 267, 1906, 2965, 1246, 998, 593, 519, 1184, 547, 6718, 513, 19044, 269, 1280, 1346, 945, 723, 513, 2603, 540, 942, 543, 9639, 267, 621, 568, 2009, 547, 4444, 2789, 13169, 17914, 538, 513, 4737, 543, 2333, 707, 12918, 540, 10888, 269, 1717, 267, 621, 568, 1271, 547, 3314, 602, 10888, 519, 13169, 568, 711, 513, 16798, 1259, 547, 1831, 14547, 269, 769, 1249, 267, 621, 568, 2009, 547, 6336, 782, 540, 707, 2724, 952, 596, 616, 711, 6297, 563, 2252, 596, 616, 3168, 585, 513, 2656, 543, 2653, 1259, 547, 1404, 519, 13169, 267, 2119, 513, 15072, 11325, 19044, 269, 1452, 616, 17914, 602, 723, 2338, 9102, 593, 519, 4395, 543, 1394, 543, 1590, 581, 6569, 689, 513, 31432, 730, 9184, 547, 7866, 519, 2338, 269, 1411, 666, 849, 2119, 513, 7485, 2389, 629, 19044, 267, 799, 568, 2147, 547, 513, 15072, 11325, 855, 568, 1454, 4130, 269, 5637, 2010, 540, 17914, 723, 1970, 10888, 12918, 267, 855, 789, 616, 1447, 7199, 982, 4730, 513, 2834, 13169, 3014, 269, 1411, 666, 849, 2119, 513, 6237, 13169, 3014, 267, 799, 814, 2539, 7589, 543, 3091, 2362, 12918, 540, 10888, 269, 634, 811, 2338, 513, 13169, 814, 267, 519, 811, 10659, 972, 786, 581, 543, 519, 811, 2352, 621, 786, 581, 547, 3094, 269, 901, 568, 1946, 596, 1058, 6529, 609, 513, 1507, 1297, 540, 2338, 269, 27814, 267, 596, 1058, 4584, 1175, 1614, 2338, 547, 11694, 707, 8458, 540, 10888, 269, 898, 568, 849, 513, 1434, 2856, 547, 1832, 707, 3094, 11789, 538, 513, 5094, 2272, 269, 901, 786, 2061, 596, 689, 7836, 707, 3094, 11789, 593, 11991, 1919, 269, 769, 1840, 267, 621, 786, 948, 596, 2057, 1085, 4461, 543, 824, 2042, 602, 949, 2049, 952, 596, 723, 1932, 1454, 2724, 538, 707, 4871, 2272, 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 ]
[ 0, 307, 8084, 281, 589, 1880, 6908, 540, 1239, 269, 898, 568, 4857, 676, 922, 2012, 563, 12749, 923, 616, 8237, 538, 851, 1431, 269, 3962, 5048, 1369, 513, 851, 542, 4991, 606, 31278, 7329, 630, 4752, 3553, 1916, 10574, 568, 6854, 1152, 585, 513, 3908, 942, 630, 821, 3018, 676, 9949, 994, 24309, 1239, 568, 1799, 17014, 563, 288, 737, 2378, 6390, 12440, 568, 7768, 540, 4573, 331, 2118, 2156, 24329, 630, 338, 21665, 994, 10376, 30549, 3568, 1978, 1888, 851, 1431, 563, 10376, 15652, 814, 835, 6205, 543, 2789, 4959, 305, 630, 514, 5348, 322, 18187, 320, 1040, 634, 6205, 543, 4959, 305, 568, 3541, 3410, 1441, 676, 519, 1183, 4177, 563, 303, 1238, 6203, 11339, 1239, 547, 3584, 269, 1160, 3027, 619, 666, 3442, 547, 973, 10079, 8622, 8540, 540, 1239, 11339, 269, 630, 2931, 284, 271, 530, 2632, 7227, 267, 1035, 802, 284, 272, 676, 9949, 786, 7227, 585, 30549, 1035, 330, 267, 1035, 802, 284, 718, 6205, 543, 782, 18187, 553, 1035, 330, 994, 268, 589, 16073, 666, 3442, 547, 6494, 513, 1883, 609, 519, 5048, 269, 589, 1883, 568, 1031, 952, 991, 5048, 19280, 585, 513, 1808, 2361, 563, 8256, 28366, 1224, 1239, 689, 513, 1888, 4857, 676, 922, 2012, 563, 298, 2378, 6390, 8637, 519, 13726, 1115, 693, 799, 519, 1423, 701, 540, 7082, 814, 1044, 2542, 563, 763, 13726, 1115, 862, 1243, 2661, 538, 737, 2378, 6390, 1888, 3957, 6449, 4621, 10179, 318, 26160, 1115, 454, 268, 621, 21314, 2156, 24329, 454, 268, 898, 2337, 7900, 6205, 9550, 585, 851, 687, 563, 268, 898, 15920, 711, 5874, 547, 737, 2378, 6390, 538, 2013, 540, 2242, 563, 9359, 737, 2378, 6390, 7746, 912, 8620, 513, 1888, 912, 259, 330, 2378, 6390, 31795, 923, 4534, 345, 5622, 24010, 476, 14096, 269, 271, 269, 4905, 281, 25908, 272, 910, 339, 8084, 1101, 4671, 8084, 4534, 22056, 4534, 4820, 1431, 476, 274, 4534, 516, 6473, 29969, 476, 272, 654, 27073, 5058, 281, 9603, 547, 7687, 538, 11973, 4408, 267, 3584, 609, 513, 1974, 630, 8339, 10807, 610, 20838, 18011, 318, 10807, 1223, 2458, 728, 269, 1677, 2057, 2152, 621, 568, 1655, 547, 946, 2901, 267, 855, 711, 1312, 269, 23095, 1888, 1101, 4671, 8084, 563, 259, 330, 2378, 6390, 31795, 923, 4534, 345, 5622, 24010, 476, 14096, 269, 271, 269, 4905, 281, 25908, 272, 4534, 4289, 1101, 4671, 8084, 454, 8620, 2034, 4671, 8084, 543, 18419, 621, 912, 259, 330, 2378, 6390, 31795, 923, 4534, 345, 5622, 24010, 476, 14096, 269, 271, 269, 4905, 281, 25908, 272, 4534, 339, 8084, 1101, 4671, 8084, 4534, 9188, 9216, 13445, 281, 1101, 4671, 8084, 3487, 819, 15575, 281, 476, 274, 1234, 6473, 15542, 528, 281, 476, 272, 4762, 12127, 281, 13445, 281, 1101, 4671, 8084, 3487, 819, 281, 476, 271, 26064, 281, 476, 271, 1234, 2364, 553, 281, 476, 271, 1772, 337, 281, 476, 271, 13445, 281, 1101, 4671, 8084, 3487, 819, 281, 476, 272, 26064, 281, 476, 271, 1234, 2364, 553, 281, 476, 271, 1772, 337, 281, 476, 271, 13445, 281, 1101, 4671, 8084, 3487, 819, 281, 476, 273, 26064, 281, 476, 271, 1234, 2364, 553, 281, 476, 271, 1772, 337, 281, 476, 271, 454, 8620, 513, 16073, 912, 259, 330, 2378, 6390, 31795, 923, 4534, 345, 5622, 24010, 476, 14096, 269, 271, 269, 4905, 281, 25908, 272, 4534, 339, 8084, 2034, 4671, 8084, 4534, 1372, 8541, 13445, 2034, 4671, 8084, 568, 6825, 585, 32280, 269, 8074, 281, 901, 786, 723, 1100, 1764, 952, 18419, 6745, 8084, 269, 523, 762, 568, 711, 1305, 547, 3020, 563, 8620, 513, 7082, 912, 259, 330, 2378, 6390, 8410, 18030, 1790, 1238, 1356, 4534, 15842, 12027, 2000, 626, 476, 14096, 269, 271, 269, 271, 269, 272, 281, 3445, 280, 273, 4534, 339, 8084, 1101, 4671, 8084, 3436, 15916, 8585, 22044, 3436, 9155, 727, 1576, 256, 3436, 14048, 737, 2378, 6390, 3436, 534, 1278, 5048, 454, 21093, 782, 519, 6835, 912, 259, 330, 2378, 6390, 8410, 18030, 15926, 10179, 4534, 321, 2393, 560, 1905, 1606, 13996, 476, 14096, 269, 271, 269, 271, 269, 272, 281, 3445, 280, 273, 4534, 339, 8084, 1101, 4671, 8084, 32597, 972, 454, 259, 330, 2378, 6390, 8410, 18030, 15926, 10179, 4534, 321, 2393, 560, 1905, 1606, 13996, 476, 14096, 269, 271, 269, 271, 269, 272, 281, 3445, 280, 273, 4534, 339, 8084, 1101, 4671, 8084, 4534, 5228, 1532, 5476, 940, 1659, 16341, 1576, 256, 1175, 585, 1187, 1565, 737, 2378, 6390, 930, 5048, 602, 568, 1035, 330, 539, 28624, 875, 616, 28982, 8585, 22044, 1776, 5048, 32597, 972, 0, 2304, 3573, 3099, 540, 1713, 1297, 1644, 2093, 616, 4843, 538, 519, 476, 274, 6113, 3446, 269, 2290, 540, 519, 1034, 2442, 3283, 568, 2333, 269, 4107, 25330, 723, 513, 8984, 1726, 3671, 566, 610, 4250, 540, 519, 1974, 1282, 799, 741, 4819, 1058, 1451, 2333, 269, 1306, 513, 4341, 267, 602, 1726, 3671, 566, 543, 4250, 568, 4547, 827, 676, 973, 565, 27928, 540, 1565, 519, 2053, 7515, 998, 17279, 269, 2755, 713, 12191, 568, 607, 2943, 1031, 10169, 2221, 267, 606, 9058, 11460, 814, 4957, 269, 634, 1880, 16097, 602, 707, 27344, 786, 1451, 786, 7048, 2390, 519, 3872, 1544, 540, 1010, 1153, 269, 3502, 5976, 9227, 267, 596, 666, 4217, 1864, 609, 3478, 606, 29267, 626, 752, 762, 8223, 540, 891, 5686, 540, 10230, 2093, 676, 4259, 1864, 909, 609, 3791, 3446, 2979, 3756, 693, 1753, 269, 5192, 5432, 609, 875, 789, 666, 948, 18284, 563, 309, 619, 8684, 4804, 585, 12059, 27240, 619, 454, 4415, 14621, 547, 772, 293, 5723, 4953, 476, 6893, 479, 6893, 365, 6893, 504, 476, 6893, 480, 6893, 365, 16055, 487, 6893, 503, 6893, 499, 6893, 511, 6893, 503, 6893, 479, 32453, 6893, 352, 6893, 507, 32453, 6893, 479, 16055, 478, 6893, 485, 6893, 368, 6893, 503, 6893, 511, 6893, 365, 6893, 499, 16055, 480, 6893, 503, 6893, 350, 6893, 365, 6893, 499, 6893, 368, 10230, 19206, 267, 3214, 538, 519, 476, 274, 6113, 3446, 2887, 782, 936, 519, 2039, 269, 32114, 596, 8910, 899, 707, 4819, 547, 8011, 547, 519, 2407, 652, 10703, 22133, 4110, 267, 596, 1034, 6157, 991, 547, 2015, 3791, 3446, 2979, 3756, 593, 519, 1357, 269, 23448, 867, 27274, 9709, 3756, 2709, 11684, 16734, 267, 543, 602, 10522, 602, 789, 616, 9709, 538, 1769, 540, 707, 4819, 779, 7221, 543, 28919, 269, 1306, 707, 27344, 9060, 856, 811, 267, 891, 3756, 1689, 543, 6521, 547, 2232, 1010, 9450, 1344, 269, 30027, 3585, 267, 789, 616, 24215, 2502, 269, 4935, 267, 707, 4819, 786, 2965, 1616, 547, 1205, 513, 6109, 267, 2312, 8223, 540, 1713, 476, 274, 6113, 3446, 10230, 2093, 1247, 2348, 13907, 540, 9723, 325, 944, 2044, 563, 291, 340, 6473, 538, 3791, 6103, 4569, 10632, 454, 1103, 1296, 2250, 267, 19920, 941, 4122, 3254, 513, 22072, 4480, 585, 2921, 1416, 540, 5918, 6473, 2152, 269, 1452, 2395, 267, 16929, 4137, 856, 519, 5383, 540, 6029, 513, 1906, 2189, 2994, 269, 1548, 1568, 585, 835, 896, 13231, 344, 949, 711, 960, 585, 1776, 267, 865, 9306, 513, 1906, 2189, 2409, 568, 1713, 269, 589, 1360, 1454, 9709, 1357, 2861, 10230, 3014, 786, 11863, 707, 4819, 547, 10994, 2152, 538, 513, 2647, 2039, 540, 2081, 269, 898, 786, 11338, 1459, 513, 1906, 3982, 5079, 585, 21365, 2333, 2152, 269, 2311, 2547, 835, 540, 873, 1223, 1439, 909, 1373, 519, 7508, 4276, 602, 14998, 707, 27344, 547, 8853, 538, 1010, 10230, 18362, 563, 16158, 1759, 10632, 5269, 621, 17949, 762, 547, 6258, 454, 7312, 27344, 1131, 1510, 513, 8969, 581, 30223, 547, 3605, 602, 646, 2115, 547, 726, 6064, 1524, 609, 513, 1297, 1644, 16455, 513, 1906, 2053, 1142, 3018, 269, 32114, 596, 1577, 1864, 917, 602, 646, 779, 15868, 547, 1404, 4950, 3756, 585, 476, 1789, 3764, 1169, 10543, 267, 2705, 267, 646, 779, 1978, 547, 581, 556, 6253, 9722, 1919, 269, 12059, 17603, 2648, 1357, 1759, 3756, 267, 543, 519, 1655, 3283, 6451, 1045, 580, 528, 908, 3334, 602, 1832, 3214, 3769, 543, 10069, 1242, 269, 1306, 513, 4341, 267, 789, 1810, 1406, 1174, 602, 789, 616, 1565, 269, 1452, 12204, 540, 3791, 3446, 2979, 3756, 2285, 5383, 547, 896, 13231, 625, 267, 25330, 543, 7855, 269, 0, 26872, 476, 31968, 13601, 421, 350, 369, 14756, 356, 14756, 511, 19314, 15578, 11682, 6579, 5308, 8008, 14176, 5508, 23333, 3036, 563, 289, 312, 808, 269, 715, 269, 645, 21822, 302, 9749, 563, 31415, 295, 4785, 5470, 781, 26287, 639, 5546, 689, 3618, 616, 9141, 3248, 1103, 812, 781, 9921, 337, 1554, 1010, 12050, 518, 8289, 2676, 5472, 20762, 267, 899, 519, 22774, 781, 32689, 2909, 573, 2676, 299, 16704, 645, 3722, 2177, 267, 538, 1010, 8734, 636, 5029, 636, 10086, 20964, 519, 6240, 267, 602, 782, 6436, 616, 24631, 267, 8259, 1759, 593, 1249, 269, 1656, 713, 6240, 267, 865, 6654, 547, 1455, 2631, 267, 814, 3812, 2242, 811, 8748, 982, 9252, 267, 811, 6225, 982, 7784, 335, 32535, 267, 3833, 3160, 267, 538, 1082, 24947, 267, 547, 8228, 282, 8197, 267, 8228, 1131, 581, 8338, 982, 4986, 538, 602, 1148, 267, 952, 519, 2339, 621, 1596, 592, 2471, 941, 1152, 19020, 19165, 543, 3552, 4337, 5209, 269, 634, 1279, 7793, 2305, 540, 519, 606, 857, 757, 2390, 519, 1641, 540, 17651, 267, 729, 19962, 547, 741, 15713, 741, 6436, 593, 28756, 675, 269, 901, 1007, 3391, 540, 7083, 32365, 267, 538, 3621, 29622, 267, 8118, 519, 4064, 540, 15806, 267, 607, 10393, 607, 513, 8755, 540, 17500, 2982, 519, 1259, 547, 519, 4503, 2951, 2401, 267, 3460, 532, 538, 519, 4158, 3781, 269, 634, 1459, 4607, 3069, 540, 519, 31676, 4703, 568, 5176, 519, 1482, 609, 602, 1062, 6026, 676, 774, 2297, 540, 631, 850, 339, 639, 267, 945, 5030, 2947, 4627, 543, 17288, 1296, 1354, 2441, 269, 2060, 1864, 621, 729, 8806, 28756, 675, 269, 1261, 1185, 1100, 5013, 267, 1100, 15997, 676, 799, 547, 3715, 621, 282, 543, 693, 1010, 2669, 267, 1010, 3069, 729, 12617, 282, 23304, 12023, 585, 519, 19160, 540, 18765, 9583, 811, 7787, 267, 855, 19039, 569, 7301, 269, 6145, 519, 9420, 539, 835, 267, 538, 513, 1404, 540, 1453, 267, 789, 941, 1419, 2282, 741, 1843, 267, 543, 3006, 1185, 621, 538, 741, 9787, 267, 1510, 1373, 2111, 547, 10646, 5168, 689, 5470, 269, 1215, 11213, 547, 1246, 873, 538, 741, 1821, 1190, 1576, 256, 2598, 11825, 328, 795, 716, 656, 584, 575, 4026, 924, 5318, 334, 25692, 299, 867, 32365, 267, 952, 646, 1223, 1930, 1010, 4064, 2390, 519, 1459, 5108, 267, 1131, 581, 711, 513, 2370, 29832, 755, 539, 543, 14281, 267, 547, 1294, 1010, 1390, 3741, 865, 1454, 23304, 12023, 676, 519, 21318, 269, 9966, 8270, 908, 547, 519, 11348, 540, 6457, 568, 621, 267, 547, 5873, 971, 7215, 607, 891, 1031, 676, 1004, 540, 12666, 2069, 267, 543, 676, 930, 945, 1796, 693, 519, 2212, 267, 9930, 3373, 267, 540, 7239, 543, 22825, 281, 1412, 296, 786, 711, 3494, 621, 6902, 262, 1412, 296, 1131, 711, 3494, 1250, 1378, 12823, 282, 262, 1412, 2005, 3112, 581, 3020, 282, 262, 1412, 8005, 2479, 4862, 540, 971, 513, 3364, 286, 262, 609, 2543, 547, 943, 1066, 1108, 267, 3662, 11275, 1143, 267, 543, 824, 5396, 269, 2368, 1004, 3100, 547, 1589, 519, 1158, 568, 827, 607, 8797, 607, 621, 666, 581, 282, 602, 972, 616, 547, 581, 1100, 811, 9283, 543, 8906, 282, 602, 1169, 6644, 799, 9969, 4181, 609, 741, 18765, 267, 799, 616, 1034, 4440, 519, 18765, 540, 741, 18971, 543, 22516, 338, 267, 19942, 1524, 1927, 609, 2025, 7382, 1841, 267, 3624, 267, 2156, 322, 1228, 32293, 267, 543, 536, 675, 9476, 267, 547, 606, 8098, 3931, 16968, 640, 267, 1590, 8209, 581, 4636, 269, 1809, 621, 568, 17175, 547, 1589, 602, 1007, 3741, 616, 2479, 30758, 547, 2097, 547, 1769, 267, 547, 2743, 519, 6499, 540, 812, 267, 543, 602, 789, 786, 581, 5330, 5944, 1390, 543, 1016, 331, 830, 267, 609, 1010, 4824, 4390, 547, 2972, 543, 946, 873, 269, 634, 1390, 18137, 799, 3382, 606, 796, 3553, 339, 1194, 2197, 267, 616, 1101, 1031, 676, 519, 32164, 7949, 585, 4492, 282, 607, 519, 5646, 454, 339, 787, 3587, 12306, 267, 543, 519, 2244, 568, 3144, 909, 585, 6683, 267, 15183, 540, 5755, 616, 11200, 539, 689, 519, 536, 657, 558, 540, 519, 3618, 269, 1924, 538, 26069, 543, 2257, 267, 519, 1390, 11580, 540, 2470, 2097, 856, 835 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27231, 2978, 568, 2324, 609, 10856, 1239, 538, 513, 1114, 4305, 269, 1358, 616, 15691, 547, 581, 2111, 547, 1397, 602, 556, 2452, 568, 3238, 538, 23115, 856, 875, 547, 19022, 1346, 28882, 11269, 547, 581, 519, 2953, 1544, 563, 763, 2319, 616, 849, 23712, 609, 5778, 338, 25973, 976, 2324, 593, 703, 2350, 31424, 1480, 1239, 269, 1358, 616, 3168, 547, 2268, 28481, 2086, 531, 8325, 6329, 2047, 865, 789, 666, 7747, 891, 3157, 693, 513, 32067, 4336, 538, 3425, 563, 8340, 856, 811, 454, 268, 3367, 519, 2407, 1957, 538, 8426, 267, 2048, 17653, 894, 556, 2452, 896, 15533, 5888, 531, 23221, 538, 519, 28481, 2086, 531, 1790, 10915, 30613, 5547, 20371, 268, 6258, 811, 827, 1382, 538, 519, 2142, 327, 27231, 6997, 0, 2252, 596, 723, 513, 1216, 11281, 267, 610, 616, 1175, 16994, 547, 798, 707, 3787, 585, 519, 1604, 267, 9494, 1216, 568, 2731, 1271, 269, 1284, 723, 1175, 1185, 519, 1743, 5006, 5181, 593, 2594, 267, 543, 5103, 513, 6632, 1032, 2063, 1032, 267, 972, 568, 2760, 513, 3983, 942, 547, 2569, 707, 1216, 946, 269, 1703, 568, 1100, 1448, 1210, 2973, 1494, 762, 1216, 1141, 596, 1223, 946, 15454, 4248, 267, 610, 1100, 1216, 693, 782, 269, 769, 713, 5816, 267, 649, 616, 2469, 547, 2285, 596, 938, 1283, 476, 1015, 2081, 547, 4688, 1216, 912, 268, 16179, 513, 1216, 12765, 1107, 1411, 786, 991, 513, 4677, 547, 2322, 621, 538, 267, 855, 952, 707, 1797, 1450, 267, 513, 1216, 12765, 786, 2731, 948, 596, 2759, 1524, 593, 707, 1216, 946, 269, 2422, 519, 1216, 596, 2445, 547, 3049, 707, 4677, 543, 1216, 707, 2777, 17852, 269, 1411, 666, 4584, 909, 513, 1216, 12765, 585, 607, 2370, 607, 11278, 736, 563, 268, 4826, 9494, 7148, 7098, 2209, 543, 17643, 21650, 1107, 5192, 3054, 513, 2298, 1216, 9494, 17643, 2212, 269, 1358, 2226, 519, 2298, 540, 519, 17643, 543, 946, 1454, 1447, 1216, 269, 4279, 1317, 713, 568, 513, 31942, 596, 2760, 991, 547, 1256, 1852, 563, 268, 2422, 606, 10357, 11337, 1479, 1107, 901, 2241, 27115, 11151, 596, 689, 8022, 1932, 1454, 1216, 693, 513, 942, 269, 26419, 15931, 1317, 8022, 707, 1216, 609, 606, 3693, 568, 7199, 267, 543, 513, 3653, 540, 1216, 2336, 268, 8347, 519, 661, 325, 1458, 1648, 9494, 1216, 6895, 1107, 4635, 513, 1216, 6895, 538, 519, 17643, 786, 948, 1577, 596, 917, 875, 1279, 596, 1491, 267, 543, 948, 547, 2759, 519, 2179, 540, 942, 596, 6108, 563, 268, 2422, 513, 8670, 13195, 615, 1107, 2552, 9009, 547, 1455, 3661, 267, 513, 8670, 13195, 615, 2965, 3096, 1447, 1216, 982, 11067, 909, 896, 513, 4881, 7148, 267, 865, 1205, 3054, 513, 8670, 13195, 615, 543, 946, 621, 1107, 855, 1118, 2386, 621, 779, 2407, 2336, 268, 9509, 4452, 585, 707, 11067, 1107, 4107, 11067, 6191, 1450, 596, 547, 2824, 513, 3368, 4452, 267, 610, 606, 4346, 7154, 269, 8347, 547, 946, 891, 1970, 1216, 946, 5468, 16382, 2009, 563, 268, 667, 686, 6137, 512, 2355, 3653, 811, 982, 596, 1589, 1107, 2274, 21294, 512, 2355, 3653, 513, 2603, 811, 1216, 982, 621, 1522, 1101, 2408, 269, 589, 5671, 6137, 7148, 666, 3653, 476, 1428, 30184, 540, 1216, 513, 1554, 267, 602, 779, 1472, 476, 276, 267, 1822, 30184, 513, 1032, 269, 2334, 568, 513, 2603, 540, 1216, 596, 1223, 723, 10710, 676, 21338, 707, 7148, 543, 952, 596, 616, 593, 513, 11281, 602, 786, 1226, 622, 547, 1472, 11278, 736, 513, 1032, 1107, 513, 2603, 585, 1175, 835, 7148, 2336, 268, 5213, 1406, 946, 513, 25652, 1107, 4826, 532, 707, 4677, 609, 513, 25652, 568, 3983, 3377, 585, 519, 1604, 543, 585, 707, 3646, 547, 4688, 1216, 269, 1411, 666, 946, 513, 7366, 540, 30184, 14450, 707, 4677, 609, 513, 25652, 267, 543, 1175, 513, 6824, 1210, 513, 14450, 666, 269, 5457, 547, 946, 519, 1216, 689, 707, 12765, 16382, 2009, 269, 4746, 2119, 547, 1216, 2899, 519, 3141, 568, 1524, 267, 607, 713, 6971, 21381, 1107, 1210, 22890, 786, 849, 948, 11677, 7509, 563, 268, 8347, 513, 28250, 1181, 1216, 1094, 591, 899, 519, 20361, 334, 269, 1452, 3457, 2061, 519, 28250, 1181, 538, 707, 16003, 689, 4758, 596, 513, 2407, 23574, 267, 4227, 519, 2179, 540, 1216, 1031, 676, 1472, 476, 278, 30184, 563, 268, 12414, 519, 7148, 1055, 950, 596, 11453, 707, 4522, 267, 610, 950, 596, 991, 1216, 585, 1022, 4948, 4305, 269, 634, 10156, 519, 942, 596, 723, 519, 7148, 4881, 585, 267, 519, 1447, 1216, 596, 786, 946, 269, 8347, 1210, 519, 11690, 538, 519, 16173, 269, 898, 779, 972, 585, 513, 2601, 563, 4322, 4465, 1406, 4019, 547, 3025, 267, 855, 952, 596, 1118, 2386, 596, 798, 782, 519, 3283, 602, 798, 4019, 267, 596, 786, 581, 9494, 7899, 540, 1216, 269, 4746, 607, 513, 3803, 1448, 1107, 621, 949, 581, 4502, 15175, 547, 513, 1216, 11281, 267, 952, 707, 1753, 814, 513, 1970, 2557, 540, 4616, 269, 898, 4465, 1406, 4010, 4688, 1216, 267, 855, 621, 786, 948, 2759, 707, 12014, 563, 13914, 649, 14406, 1945, 286, 1684, 596, 723, 513, 1114, 6644, 888, 4467, 618, 2630, 547, 1205, 707, 5639, 4862, 2507, 0, 3963, 568, 6484, 2565, 585, 3214, 538, 2038, 1296, 888, 14187, 6484, 568, 2565, 585, 2208, 543, 1646, 607, 621, 23933, 519, 5748, 585, 513, 2635, 1272, 269, 634, 1101, 1906, 1296, 540, 513, 1126, 781, 1272, 616, 3226, 1271, 1317, 713, 568, 950, 741, 4703, 543, 12058, 616, 3395, 543, 3384, 693, 606, 6909, 2557, 563, 9827, 267, 2638, 519, 2956, 540, 2949, 2208, 538, 3214, 563, 14187, 6484, 4249, 606, 1271, 1909, 538, 519, 2635, 2208, 543, 1646, 540, 519, 1739, 912, 268, 11020, 4886, 281, 589, 1126, 781, 2634, 9428, 543, 10953, 6385, 538, 519, 1101, 1906, 1296, 540, 1272, 269, 7743, 6484, 267, 2523, 5567, 899, 4401, 267, 13058, 267, 543, 15060, 268, 274, 9761, 7408, 267, 616, 1898, 585, 2635, 2634, 1646, 269, 589, 3668, 540, 891, 5567, 666, 1291, 547, 5042, 22907, 267, 4057, 1153, 2773, 267, 543, 8965, 2042, 563, 268, 21210, 3590, 281, 5753, 781, 4761, 1949, 616, 1869, 3384, 267, 1818, 873, 811, 7925, 547, 5563, 543, 10108, 269, 589, 2732, 3638, 538, 5567, 899, 6171, 595, 267, 6171, 589, 267, 13058, 267, 543, 3940, 666, 948, 5818, 741, 4761, 1062, 543, 2569, 519, 1981, 540, 5563, 563, 268, 12618, 543, 4886, 281, 6153, 6484, 568, 1898, 585, 2208, 543, 1646, 538, 1453, 269, 29615, 12930, 6981, 540, 3940, 267, 7513, 267, 6171, 667, 267, 543, 824, 1898, 5567, 568, 2556, 547, 2327, 1697, 5642, 543, 4887, 1646, 267, 2635, 2597, 2744, 267, 543, 2949, 2208, 563, 268, 26787, 13245, 14856, 31346, 281, 634, 4189, 6208, 602, 1453, 1020, 538, 741, 2038, 1296, 666, 723, 513, 1713, 1764, 593, 741, 1072, 2663, 538, 1272, 269, 1635, 10962, 513, 3099, 540, 2635, 3536, 538, 741, 2732, 267, 649, 666, 948, 3715, 2635, 4189, 6208, 602, 786, 3251, 609, 938, 1453, 585, 1272, 563, 3383, 267, 649, 1058, 1445, 593, 3246, 513, 3099, 540, 8770, 1673, 1619, 3536, 267, 12145, 24494, 543, 9268, 3536, 267, 543, 8716, 2635, 4189, 6208, 689, 606, 2038, 2085, 269, 1635, 3257, 865, 267, 649, 666, 948, 2327, 513, 1126, 781, 6099, 1072, 543, 1646, 269, 0, 300, 1456, 538, 519, 5487, 639, 6308, 814, 31567, 2799, 519, 1216, 20359, 538, 519, 1975, 872, 585, 811, 982, 513, 2540, 269, 901, 568, 1317, 15780, 729, 29253, 856, 585, 6960, 5755, 5599, 543, 10480, 883, 519, 1975, 872, 269, 634, 1699, 6704, 1216, 3761, 538, 12670, 568, 14356, 1759, 593, 713, 1216, 269, 1717, 267, 519, 943, 2084, 856, 540, 6960, 5755, 5599, 676, 476, 10711, 279, 693, 519, 5767, 267, 799, 568, 2556, 585, 2916, 3609, 267, 786, 21739, 1689, 519, 1216, 3666, 540, 519, 3003, 3148, 269, 1717, 267, 519, 3463, 540, 1216, 20317, 568, 1100, 2601, 547, 10205, 519, 5755, 5123, 13050, 267, 3081, 667, 25184, 11619, 1676, 281, 834, 20458, 1689, 568, 519, 7887, 1966, 649, 3068, 269, 898, 568, 2907, 2870, 26221, 543, 4365, 26037, 269, 15021, 5599, 814, 1044, 5739, 547, 519, 1604, 585, 5756, 269, 594, 993, 11613, 538, 12797, 540, 11173, 547, 2832, 585, 513, 476, 10711, 271, 5123, 13050, 585, 5487, 639, 6308, 267, 6382, 649, 786, 6560, 547, 2743, 938, 2916, 9072, 4799, 7712, 519, 4098, 540, 6960, 5755, 5599, 538, 519, 476, 866, 628, 2540, 267, 1472, 476, 6812, 5479, 12945, 15432, 540, 15780, 910, 811, 982, 519, 4320, 540, 8235, 4790, 766, 910, 723, 1044, 13939, 676, 5599, 543, 26809, 883, 519, 1975, 872, 269, 6168, 3368, 540, 519, 1216, 5645, 538, 519, 1975, 872, 676, 595, 2714, 24650, 2501, 689, 29253, 15780, 269, 769, 3905, 4832, 3275, 267, 713, 8167, 14380, 547, 909, 547, 476, 4037, 2600, 267, 2687, 547, 519, 2164, 540, 519, 3370, 1353, 563, 2690, 519, 3296, 540, 519, 1975, 872, 538, 29017, 3415, 267, 519, 9472, 17648, 606, 5993, 1216, 17211, 540, 1472, 476, 4817, 2929, 12945, 15432, 269, 769, 519, 2539, 10301, 540, 519, 1975, 872, 538, 15952, 29118, 267, 972, 786, 4440, 581, 513, 2110, 6420, 540, 1472, 476, 14695, 2929, 12945, 15432, 829, 1032, 538, 2104, 910, 811, 982, 1614, 2053, 607, 1454, 1216, 607, 519, 28228, 1375, 601, 5408, 630, 29155, 4802, 781, 4102, 10720, 264, 666, 3180, 563, 2252, 1216, 3747, 3788, 519, 1482, 610, 1256, 4679, 267, 972, 568, 513, 1981, 540, 5051, 7928, 543, 12675, 1216, 22520, 538, 519, 3148, 267, 2523, 538, 3819, 1296, 269, 634, 2810, 1216, 17732, 5540, 267, 1851, 824, 1919, 267, 519, 6151, 1216, 3761, 585, 12670, 781, 4102, 6704, 1216, 2030, 538, 26179, 3333, 10402, 269, 634, 8920, 1081, 540, 12670, 781, 5701, 16894, 609, 1975, 872, 1216, 1107, 827, 476, 13136, 2929, 12945, 15432, 829, 1032, 1107, 568, 849, 4742, 5051, 16609, 269, 2311, 519, 1482, 942, 267, 606, 3606, 3670, 5479, 12945, 15432, 540, 1216, 786, 581, 2877, 538, 519, 4947, 5756, 1175, 547, 6445, 519, 1930, 4751, 5599, 9475, 865, 602, 789, 798, 711, 1831, 18633, 269, 634, 1216, 17211, 786, 581, 28978, 676, 519, 4539, 540, 2916, 1689, 563, 763, 1353, 8947, 519, 1216, 2359, 4539, 540, 519, 6960, 5755, 5123, 13050, 538, 5487, 639, 6308, 538, 1469, 936, 1896, 1296, 269, 4889, 725, 267, 19579, 5313, 543, 1533, 8128, 267, 2199, 14761, 543, 3540, 2486, 941, 4922, 3238, 269, 1306, 513, 1267, 267, 1896, 3070, 3681, 7153, 593, 875, 547, 2232, 519, 1216, 17732, 910, 789, 616, 606, 27592, 547, 519, 14761, 540, 519, 4299, 5313, 2829, 547, 10994, 6405, 3435, 585, 519, 3148, 593, 519, 2666, 269, 769, 1469, 912, 306, 3058, 1216, 281, 2353, 3593, 2516, 538, 519, 3148, 786, 723, 547, 4688, 3648, 811, 1216, 538, 519, 2104, 269, 11531, 267, 519, 15810, 1216, 17211, 786, 711, 581, 9104, 730, 585, 676, 9806, 4805, 563, 9558, 2536, 2590, 1216, 281, 769, 1931, 547, 22771, 585, 519, 15810, 1216, 17211, 267, 621, 568, 1898, 547, 1683, 3606, 1216, 585, 519, 5757, 30520, 540, 519, 5487, 639, 6308, 3148, 269, 634, 1353, 1443, 2478, 1216, 19132, 689, 30240, 8933, 971, 607, 519, 4432, 2041, 267, 5487, 639, 12688, 3026, 328, 29967, 324, 543, 744, 1457, 269, 901, 1131, 2154, 519, 4070, 540, 519, 2556, 2470, 16327, 26702, 5989, 267, 799, 786, 1491, 930, 942, 563, 22091, 21505, 4859, 6703, 281, 1924, 2484, 267, 519, 3148, 814, 513, 4859, 4320, 540, 1472, 476, 4200, 2929, 12945, 15432, 540, 1216, 269, 2060, 606, 7269, 540, 519, 4859, 19206, 676, 476, 2767, 2929, 12945, 15432, 267, 22907, 538, 519, 1216, 1606, 8364, 576, 3275, 1223, 581, 13148, 12842, 267, 3177, 602, 519, 6740, 1216, 4320, 568, 2139, 1510, 9993, 282, 519, 4540, 4859, 12531, 666, 4867, 1152, 581, 1031, 547, 513, 3908, 6708, 676, 827, 476, 2004, 2600, 269, 3689, 540, 782, 267, 4061, 267, 4540, 23854, 1590, 581, 22058, 730, 543, 18175, 24612, 538, 1931, 547, 581, 2111, 547, 946, 741, 2407, 4390, 269, 14086, 12647, 1223, 849, 4196, 607, 1216, 23854, 269, 1280, 713, 3483, 267, 519, 1353, 5267, 519, 595, 2714, 24650, 744, 560, 5408, 269, 1717, 267, 713, 1131, 2154, 519, 7525, 5137, 540, 519, 2556, 3656, 840, 1718, 1431, 585, 4859, 946, 563, 11514, 12737, 532, 15780, 281, 589, 17033, 10151, 630, 655, 1120, 1890, 264, 3070, 1223, 581, 547, 3136, 5665, 519, 15450 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 898, 729, 513, 6505, 267, 13566, 1554, 950, 2370, 30554, 773, 543, 1200, 2915, 267, 27910, 344, 267, 4956, 547, 1491, 513, 3802, 538, 741, 8378, 269, 1306, 789, 941, 588, 13764, 2059, 267, 2672, 17844, 8068, 1945, 8966, 269, 1703, 729, 513, 4190, 22774, 538, 519, 6607, 256, 2701, 5828, 547, 27910, 344, 543, 4280, 267, 968, 8967, 1046, 344, 267, 798, 596, 917, 875, 4764, 28647, 616, 1500, 9495, 27910, 344, 530, 698, 3022, 1010, 2766, 267, 855, 646, 4769, 1406, 723, 606, 2626, 780, 306, 15120, 773, 2219, 585, 513, 4090, 543, 1287, 6045, 267, 968, 305, 664, 28647, 4755, 950, 7943, 31438, 998, 20256, 540, 1216, 538, 519, 2011, 269, 634, 1769, 568, 18195, 539, 267, 610, 18761, 267, 543, 8237, 883, 1114, 4778, 269, 2334, 779, 1946, 649, 1294, 782, 1346, 7168, 24698, 17373, 27910, 344, 13626, 539, 538, 6876, 267, 6126, 547, 1451, 1945, 1007, 780, 2026, 789, 4797, 6972, 267, 789, 3357, 2066, 606, 11361, 812, 9361, 593, 513, 14541, 269, 1261, 5189, 5128, 607, 6004, 269, 8055, 543, 5143, 30554, 773, 602, 646, 1031, 547, 2661, 609, 1010, 8250, 267, 855, 789, 1185, 7440, 543, 1352, 6410, 856, 269, 901, 18056, 30554, 773, 540, 513, 1650, 1352, 4862, 827, 513, 8004, 3957, 10906, 267, 945, 849, 1185, 513, 9157, 942, 2713, 609, 1200, 19033, 780, 14976, 9626, 1185, 6410, 547, 4993, 547, 2661, 609, 1200, 4651, 267, 945, 5249, 693, 513, 17189, 6928, 12881, 269, 1809, 1175, 899, 6004, 269, 8055, 267, 789, 11130, 1419, 267, 543, 5555, 10906, 2451, 269, 3502, 1279, 1310, 267, 1945, 15265, 5949, 1107, 10906, 729, 1336, 4666, 538, 513, 6288, 267, 1200, 1560, 2759, 538, 3368, 269, 15526, 729, 28280, 676, 519, 27615, 13135, 12638, 267, 543, 1100, 835, 6785, 945, 1705, 621, 780, 30342, 8909, 585, 10906, 543, 1200, 4651, 267, 30554, 773, 6743, 909, 543, 4718, 1776, 22774, 8108, 538, 519, 6607, 269, 2701, 15422, 1018, 1352, 4121, 4505, 543, 7691, 602, 1256, 1498, 3983, 1919, 666, 4755, 267, 972, 786, 2141, 581, 8090, 540, 5898, 543, 4126, 269, 1656, 6148, 267, 1175, 6148, 267, 1620, 1142, 824, 1732, 1223, 948, 2061, 971, 32333, 269, 2060, 602, 2219, 267, 30554, 773, 4371, 27910, 344, 781, 30392, 17401, 543, 15336, 1753, 267, 4743, 18507, 585, 519, 4245, 1352, 4362, 2221, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 25889, 281, 10906, 10374, 630, 20809, 476, 3066, 267, 476, 4572, 275, 910, 5130, 476, 1691, 610, 476, 1428, 267, 476, 3707, 278, 1070, 1634, 2022, 21065, 3585, 607, 834, 1492, 4563, 667, 1695, 20377, 2580, 729, 606, 1977, 4807, 945, 729, 1336, 23689, 538, 519, 2274, 574, 1068, 5244, 8378, 540, 11968, 13353, 267, 4993, 269, 4173, 2013, 2968, 3810, 1857, 1242, 1813, 547, 519, 8642, 2470, 540, 519, 6760, 267, 799, 1303, 9229, 1200, 1351, 335, 572, 2348, 1044, 4573, 23624, 543, 694, 30099, 693, 519, 22765, 269, 589, 5065, 540, 11785, 267, 10374, 1185, 6170, 1200, 2038, 1272, 538, 12590, 543, 8419, 1354, 882, 20814, 547, 4993, 267, 1141, 1200, 4651, 5030, 563, 3519, 3667, 281, 769, 3735, 476, 3707, 273, 267, 1912, 4141, 2041, 4607, 513, 4484, 540, 3284, 1108, 689, 1200, 16912, 539, 11546, 576, 1078, 9393, 267, 799, 7000, 602, 646, 729, 538, 1249, 9800, 543, 1185, 3323, 513, 1007, 1272, 538, 4993, 269, 769, 5412, 267, 693, 2085, 29933, 267, 10906, 882, 11343, 547, 966, 4150, 14765, 547, 2661, 609, 1200, 4651, 267, 7247, 1352, 1185, 711, 2938, 2094, 1352, 729, 3670, 1296, 2025, 269, 2311, 519, 942, 267, 646, 729, 2324, 693, 519, 7404, 631, 732, 6816, 25220, 26676, 12881, 593, 5842, 12770, 7345, 269, 14803, 3701, 1063, 10374, 543, 1200, 4651, 3366, 547, 1200, 3001, 856, 538, 5130, 476, 3707, 274, 269, 10374, 569, 1310, 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, 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, 0, 594, 5063, 3357, 2066, 513, 2022, 689, 513, 3593, 3957, 834, 341, 597, 6265, 328, 777, 664, 614, 257, 945, 3838, 513, 17175, 1650, 827, 875, 789, 1336, 6667, 538, 9098, 781, 2189, 8916, 267, 4481, 519, 9791, 23374, 15142, 543, 519, 27991, 1901, 820, 7345, 269, 1306, 606, 7376, 8885, 267, 594, 729, 5612, 27278, 780, 6097, 547, 20424, 328, 777, 664, 614, 267, 789, 1185, 2141, 1044, 19832, 676, 519, 3309, 8916, 540, 9098, 855, 17388, 547, 1265, 741, 13395, 1369, 519, 1148, 1158, 269, 1358, 6836, 1585, 23447, 543, 5396, 1510, 1022, 1713, 1967, 2394, 835, 1554, 950, 789, 16686, 2390, 513, 1895, 540, 5418, 514, 2011, 26719, 693, 960, 2282, 519, 3490, 540, 519, 9791, 23374, 15142, 269, 27837, 676, 519, 4190, 29278, 543, 519, 11428, 540, 891, 8284, 5159, 267, 20424, 328, 777, 664, 614, 4956, 547, 2285, 621, 1776, 8929, 780, 5445, 6170, 1896, 4374, 4974, 519, 7823, 2039, 267, 3843, 547, 7001, 519, 1259, 519, 7943, 5734, 519, 795, 698, 3022, 19589, 543, 4957, 2429, 519, 1554, 269, 16828, 267, 20424, 328, 777, 664, 614, 2813, 513, 10875, 4062, 602, 9676, 519, 9759, 540, 519, 9791, 23374, 15142, 267, 15980, 873, 17192, 543, 6284, 689, 519, 2199, 1148, 2146, 780, 4913, 267, 1175, 607, 1919, 941, 3168, 909, 267, 20424, 328, 777, 664, 614, 11402, 606, 6397, 4161, 910, 789, 7948, 1405, 3100, 547, 21613, 741, 1967, 269, 6736, 3875, 8942, 547, 30712, 519, 9059, 540, 741, 1101, 29990, 20100, 267, 4986, 8604, 547, 4945, 269, 7910, 328, 777, 664, 614, 3459, 547, 8969, 2933, 543, 741, 5759, 267, 11842, 952, 789, 1185, 3274, 20335, 18822, 1354, 780, 3080, 1554, 267, 1247, 10478, 585, 6667, 2059, 519, 24528, 540, 519, 27991, 1901, 820, 7345, 267, 20424, 328, 777, 664, 614, 1558, 513, 8797, 2025, 13743, 528, 945, 1036, 4705, 873, 609, 8941, 540, 519, 15922, 781, 588, 528, 1221, 2250, 543, 922, 4644, 547, 519, 1533, 781, 2686, 6561, 269, 2271, 29098, 267, 20424, 328, 777, 664, 614, 4956, 547, 2119, 741, 1688, 693, 18995, 519, 5898, 540, 519, 15922, 998, 741, 11247, 780, 2414, 741, 9983, 267, 789, 4362, 513, 17105, 6612, 585, 2870, 1148, 269, 1635, 2519, 593, 519, 7524, 8134, 543, 3638, 1686, 540, 519, 27991, 1901, 820, 7345, 267, 20424, 328, 777, 664, 614, 7691, 602, 789, 4769, 1405, 991, 547, 3970, 2933, 547, 1175, 835, 1641, 2339, 269, 901, 16012, 5191, 4847, 873, 547, 4603, 609, 1114, 2553, 543, 6163, 267, 3056, 547, 930, 540, 741, 1034, 5499, 4773, 2943, 780, 8269, 22162, 593, 741, 3460, 267, 20424, 328, 777, 664, 614, 6591, 3407, 4030, 883, 741, 3860, 1184, 269, 1358, 4121, 602, 3006, 19480, 856, 540, 707, 4313, 7997, 666, 1291, 547, 6909, 8906, 267, 1312, 13948, 543, 24015, 269, 5015, 267, 789, 6444, 519, 2956, 540, 4466, 6667, 3564, 519, 32604, 540, 513, 2582, 4087, 610, 1641, 2339, 267, 3850, 2933, 547, 1332, 607, 606, 7376, 543, 1367, 780, 1607, 2295, 342, 9879, 9661, 711, 1152, 20502, 519, 1379, 540, 9098, 781, 18198, 8916, 855, 849, 8711, 519, 6043, 543, 8990, 2838, 547, 11654, 513, 13395, 1719, 269, 898, 568, 513, 15266, 547, 519, 1249, 602, 1256, 538, 519, 3068, 540, 14488, 267, 649, 666, 1869, 10625, 6456, 21889, 602, 8300, 721, 547, 3914, 938, 2407, 1761, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 22081, 723, 9098, 781, 2189, 8916, 267, 971, 607, 519, 9791, 23374, 15142, 543, 27991, 1901, 820, 7345, 267, 6273, 5159, 888, 309, 597, 6265, 807, 781, 2189, 8916, 723, 6273, 5159, 538, 513, 3099, 540, 2081, 269, 634, 9791, 23374, 15142, 267, 609, 741, 27726, 19589, 543, 27789, 642, 626, 553, 267, 723, 1044, 513, 2442, 1641, 585, 5251, 26719, 585, 5553, 269, 20551, 723, 1044, 6537, 547, 519, 10239, 262, 2067, 5898, 267, 13830, 519, 4657, 4778, 540, 519, 12405, 543, 519, 16799, 540, 1769, 543, 14692, 593, 519, 27726, 14099, 780, 763, 27991, 1901, 820, 7345, 267, 609, 922, 28677, 32132, 543, 3638, 7286, 1272, 267, 814, 849, 1044, 513, 2442, 1641, 585, 9098, 5159, 269, 3245, 1216, 3712, 832, 543, 3282, 10367, 547, 10344, 543, 17001, 267, 5159, 723, 1044, 6273, 676, 519, 15922, 781, 2067, 5898, 543, 922, 1271, 1747, 538, 9098, 781, 1686, 543, 2528, 780, 1103, 1840, 547, 7206, 543, 17001, 267, 9098, 781, 8916, 723, 849, 6273, 15023, 267, 5830, 267, 543, 12372, 269, 3509, 540, 9098, 781, 1034, 4583, 5830, 267, 1519, 7338, 16962, 267, 28089, 30129, 26766, 267, 543, 6276, 654, 14325, 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, 3848, 476, 1015, 281, 4197, 20222, 910, 589, 4317, 21887, 692, 5970, 596, 2479, 4862, 2576, 2161, 267, 834, 6546, 781, 711, 4023, 10590, 950, 789, 4769, 1405, 1205, 741, 1259, 286, 9320, 596, 723, 1256, 1767, 621, 3054, 256, 5020, 666, 3006, 3100, 15490, 610, 10792, 267, 2523, 950, 1004, 10413, 1142, 824, 998, 3527, 649, 1289, 834, 24825, 550, 1701, 1809, 1018, 1281, 621, 2731, 1611, 950, 649, 2161, 1945, 568, 10795, 286, 1772, 621, 1175, 827, 18644, 610, 8165, 286, 2913, 781, 2263, 713, 2856, 1927, 2439, 309, 2723, 775, 568, 2859, 20537, 3807, 670, 9231, 454, 5785, 14945, 2691, 1034, 1004, 1589, 540, 5208, 267, 789, 1522, 4952, 1079, 3214, 19163, 1282, 12424, 543, 835, 11319, 519, 824, 1524, 269, 2755, 2168, 24515, 899, 891, 6157, 4125, 5208, 267, 972, 781, 1454, 811, 547, 1174, 827, 875, 1004, 946, 519, 2165, 2439, 5331, 952, 707, 3659, 8843, 513, 5728, 609, 596, 267, 543, 1287, 1776, 1268, 6645, 3025, 3116, 538, 1362, 827, 621, 1510, 6998, 585, 707, 3659, 781, 10479, 269, 2659, 3659, 1131, 4440, 1745, 13347, 267, 20729, 539, 267, 543, 14220, 269, 4014, 1100, 835, 729, 9308, 2800, 539, 267, 1913, 941, 1031, 538, 513, 5739, 1259, 1107, 713, 1826, 540, 3510, 849, 3322, 5208, 2439, 3383, 267, 607, 596, 666, 1294, 267, 5208, 3884, 1405, 3908, 547, 1152, 2168, 2800, 282, 621, 2882, 1022, 2623, 5921, 547, 2014, 3929, 610, 5626, 1928, 1932, 269, 3767, 1577, 781, 4685, 4514, 883, 1620, 1946, 1978, 5615, 1831, 13042, 607, 1412, 24825, 550, 9538, 692, 763, 12791, 540, 20222, 966, 2456, 21661, 27639, 454, 14343, 19030, 17843, 2950, 543, 4529, 1472, 519, 1158, 2070, 5208, 8335, 1759, 593, 741, 2418, 267, 4978, 267, 543, 5389, 269, 1548, 1522, 581, 2938, 607, 10795, 538, 835, 1747, 1223, 581, 9985, 3339, 538, 1776, 2528, 269, 1280, 1383, 267, 538, 930, 2477, 267, 838, 21403, 1453, 568, 2808, 606, 11807, 1106, 540, 9015, 267, 1247, 1866, 9244, 10990, 543, 3494, 621, 8813, 896, 11913, 610, 2168, 6057, 780, 1607, 2982, 721, 602, 10747, 5208, 5673, 7361, 593, 938, 5380, 543, 909, 32523, 269, 2334, 781, 1946, 1565, 827, 1114, 2686, 5784, 2337, 1711, 1732, 2792, 1063, 1004, 543, 6971, 21390, 780, 26502, 26472, 610, 10163, 878, 1154, 20222, 454, 14343, 7042, 6624, 1919, 3310, 2436, 610, 711, 5208, 4386, 1369, 3885, 267, 3506, 267, 610, 2950 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18214, 267, 7669, 543, 31784, 922, 476, 4968, 13807, 639, 14143, 540, 6870, 3552, 4133, 563, 21430, 2386, 519, 4099, 779, 476, 30663, 267, 1822, 610, 865, 5993, 8436, 723, 513, 2318, 1995, 15025, 609, 12624, 7186, 3340, 19421, 540, 2407, 6066, 5520, 7132, 513, 21464, 20314, 550, 540, 13538, 269, 23496, 519, 1950, 5106, 13978, 593, 1576, 543, 1369, 922, 1269, 272, 269, 279, 2929, 5665, 6578, 568, 513, 9157, 2816, 267, 855, 594, 329, 4461, 15445, 10615, 2549, 828, 26436, 814, 1044, 3257, 621, 585, 3670, 1296, 1631, 543, 814, 1100, 7287, 547, 581, 3257, 4376, 3116, 563, 2691, 2549, 828, 12909, 827, 594, 329, 4461, 1352, 9425, 28377, 609, 575, 1342, 344, 267, 11763, 1648, 269, 901, 568, 513, 4807, 945, 814, 5693, 1336, 1200, 1747, 538, 519, 1158, 267, 543, 1256, 513, 5618, 3802, 2059, 1022, 540, 519, 4099, 779, 476, 2641, 18162, 2306, 835, 4898, 952, 519, 2244, 3294, 18387, 1406, 15527, 538, 899, 6752, 547, 1200, 20174, 563, 27288, 5158, 25704, 1665, 606, 7499, 1313, 636, 2522, 2508, 571, 16014, 585, 519, 17906, 13985, 10740, 454, 6224, 2969, 307, 3198, 302, 8104, 288, 2443, 2755, 3478, 4712, 547, 10994, 1010, 1985, 7499, 20100, 693, 519, 17906, 13985, 10740, 267, 2997, 1640, 519, 2699, 268, 745, 742, 539, 19790, 584, 15055, 547, 1491, 513, 1906, 3268, 547, 4099, 5128, 281, 1658, 573, 562, 2355, 538, 519, 24106, 267, 10347, 562, 756, 7632, 540, 6535, 12578, 23858, 267, 513, 759, 15929, 875, 331, 547, 1445, 1010, 1648, 563, 18744, 1310, 891, 12738, 616, 2347, 666, 713, 4487, 540, 5888, 2443, 513, 3020, 968, 299, 655, 584, 5991, 16037, 892, 13005, 30058, 2443, 2253, 8380, 30392, 543, 2766, 547, 17198, 547, 1711, 1010, 1985, 1566, 639, 563, 13510, 1640, 779, 5767, 17636, 2443, 1500, 1210, 1875, 3562, 13877, 267, 3662, 7888, 10917, 3120, 5862, 267, 6923, 2443, 568, 513, 476, 1626, 8386, 268, 736, 20878, 4062, 2813, 538, 5698, 609, 1010, 8284, 19790, 2720, 543, 1514, 2923, 5182, 24611, 2861, 7376, 1656, 16699, 20307, 630, 307, 1731, 27717, 3381, 1040, 2997, 1640, 543, 20307, 779, 4487, 1740, 568, 835, 540, 811, 982, 1079, 18797, 4773, 540, 1148, 1500, 676, 16983, 2831, 1631, 909, 585, 19915, 1282, 519, 17906, 13985, 10740, 779, 2228, 2887, 2508, 24597, 25488, 269, 634, 25488, 786, 9959, 693, 29869, 593, 11728, 267, 20029, 269, 476, 2918, 563, 20288, 793, 15195, 21297, 8127, 723, 1044, 10977, 1851, 721, 2094, 519, 476, 4350, 271, 338, 24309, 676, 15537, 22118, 645, 2297, 454, 293, 3306, 4248, 21297, 8127, 281, 3371, 835, 1032, 267, 8854, 519, 1985, 563, 298, 17472, 311, 309, 6579, 4041, 2443, 623, 5417, 1782, 2059, 519, 1869, 1216, 540, 28927, 779, 2372, 14019, 8235, 596, 5469, 519, 2011, 18616, 2813, 676, 707, 522, 1513, 269, 1358, 616, 782, 1472, 707, 666, 4141, 2282, 519, 2627, 563, 2005, 779, 513, 3905, 2038, 5181, 12784, 543, 519, 5176, 12001, 18616, 3100, 547, 1491, 593, 513, 1272, 540, 741, 1378, 269, 1411, 3500, 547, 4585, 543, 9811, 267, 789, 3768, 3634, 267, 8375, 543, 9991, 538, 519, 29814, 1216, 540, 519, 14460, 18899, 26755, 563, 21080, 18616, 798, 711, 3768, 3634, 2336, 21982, 513, 2312, 5068, 7484, 267, 596, 10709, 936, 519, 7784, 342, 1446, 543, 1085, 17274, 909, 835, 540, 519, 29784, 13355, 18616, 547, 1205, 513, 6251, 1413, 563, 307, 550, 8163, 286, 5794, 18616, 798, 711, 723, 17895, 8163, 269, 1548, 596, 616, 3168, 693, 568, 513, 15195, 21297, 8127, 543, 519, 3002, 540, 3735, 4832, 568, 922, 20282, 4005, 269, 898, 779, 513, 19806, 558, 540, 21297, 8127, 607, 7366, 5531, 1927, 2282, 519, 1216, 779, 2627, 269, 1358, 616, 4122, 1634, 607, 890, 778, 19806, 558, 21297, 8127, 563, 290, 527, 714, 523, 3744, 616, 2921, 6006, 538, 3911, 758, 625, 267, 543, 519, 11891, 8952, 2810, 24309, 676, 7338, 2605, 6471, 454, 1607, 1650, 729, 3177, 676, 4279, 3911, 758, 344, 15142, 2817, 5244, 563, 9202, 17431, 593, 13628, 267, 4239, 269, 476, 736, 454, 294, 2969, 299, 2562, 289, 7838, 294, 2443, 4279, 3911, 758, 344, 15142, 2817, 5244, 568, 14120, 519, 1967, 540, 513, 2146, 2257, 1788, 3366, 676, 18758, 7649, 13028, 5020, 538, 3013, 630, 13036, 328, 288, 264, 1572, 3911, 758, 625, 4107, 654, 5896, 269, 634, 11036, 7512, 8436, 547, 2594, 1272, 789, 1265, 538, 519, 6288, 998, 519, 1775, 20332, 626, 2470, 813, 269, 667, 30537, 288, 543, 519, 6288, 946, 891, 1239, 2798, 547, 4786, 2249, 2039, 267, 3950, 16678, 2249, 267, 543, 1256, 3605, 1007, 5686, 540, 1272, 538, 519, 6288, 563, 2108, 328, 20332, 626, 6165, 538, 519, 3911, 758, 625, 814, 6607, 13702, 9643, 689, 1175, 2185, 3755, 538, 476, 1001, 272, 267, 547, 476, 274, 267, 8517, 538, 476, 1708, 271, 267, 547, 1631, 811, 982, 476, 278, 267, 1911, 3755, 2223, 1767, 4024, 918, 7795, 333, 267, 667, 299, 8656, 779, 8689, 540, 2257, 543, 1382, 563, 1103, 4864, 267, 519, 1788, 6603, 513, 24182, 267, 20546, 532, 476, 1911, 267, 1822, 5638, 540, 7786, 267, 2371, 267, 13271, 267, 543, 824, 3911, 758, 625, 1272, 11643, 998, 519, 813, 269, 7324, 873, 616, 476, 10844, 1007, 2249, 711, 5892, 2938, 538, 519, 6288, 563, 298, 333, 2135, 6807, 22842, 4264, 2029, 30596, 689, 2066, 519, 2197, 454, 298, 17472, 311, 309, 6579, 4041, 2443, 24285, 540, 1376, 5346, 3039, 4213, 21751, 538, 2533, 543, 2472, 8151, 689, 3327, 5786, 547, 7738, 2472, 543, 10398, 532, 20386, 909, 930, 2112, 335, 18286, 4245, 4119, 269, 476, 4029, 563, 4263, 519, 3932, 540, 519, 1614, 18881, 27910, 11162, 24728, 24665, 1807, 519, 3401, 540, 13476, 4264, 4213, 689, 2066, 519, 2197, 3576, 1753, 930, 17758, 543, 3893, 513, 7580, 533, 788, 2911, 689, 12928, 2135, 6807, 26302, 1473, 5984, 918, 4532, 27553, 563, 14881, 6557, 1360, 8149, 547, 782, 1919, 3039, 543, 4264, 2223, 1352, 1767, 269, 968, 7775, 1052, 543, 3039, 616, 14911, 4778, 1701, 2701, 12038, 540, 1818, 12928, 2135, 6807, 513, 968, 30236, 10509, 13398, 2223, 711, 1175, 585, 17906, 855, 18368, 269, 2701, 19424, 539, 968, 320, 15777, 12928, 2135, 6807, 543, 513, 15777, 1158, 3034, 268, 8141, 2973, 10509, 1035, 13406, 1807, 454, 268, 2160, 540, 17906, 454, 268, 6280, 540, 512, 16612, 1382, 6288, 454, 268, 5679, 2135, 6807, 6940, 454, 268, 5679, 2135, 6807, 25650, 6940, 454, 268, 967, 5984, 737, 4532, 27553, 454, 268, 2588, 1382, 5748, 454, 268, 9723, 887, 7970, 2588, 454, 268, 10131, 512, 16612, 454, 268, 1649, 6550, 19784, 454, 268, 476, 274, 323, 8228, 5679, 2135, 6807, 454, 268, 3039, 561, 4594, 320, 454, 10712, 758, 625, 3173, 1118, 513, 6101, 29872, 766, 609, 513, 5432, 2892, 600, 6387, 454, 15124, 3377, 689, 519, 3911, 758, 625, 3842, 17749, 2336, 763, 968, 338, 15401, 6387, 3854, 540, 519, 1158, 892, 1175, 6591, 513, 1007, 4759, 256, 20821, 938, 476, 4029, 560, 2249, 281, 519, 31180, 3109, 1532, 749, 1221, 2892, 600, 6387, 267, 610, 2677, 332, 1758, 987, 639, 575, 341, 333, 15607, 639, 326, 342, 582, 2993, 269, 4706, 2249, 2012, 1797, 968, 18872, 17987, 892, 538, 519, 31180, 1893, 269, 12207, 1031, 11976, 547, 1265, 856, 602, 621, 568, 1114, 689, 519, 824, 3109, 1532, 749, 1221, 2892, 600, 6387, 538, 519, 6288, 563, 291, 7398, 568, 2484, 689, 1175, 13897, 269, 898, 779, 513, 5748, 585, 1272, 563, 1607, 1650, 729, 8385, 3370, 676, 634, 1234, 767, 1807, 563, 16100, 1524, 269, 1411, 949, 711, 1294, 519, 3037, 9944, 707, 3952, 607, 31523, 609, 1272, 267, 855, 621, 568, 563, 289, 21392, 3621, 2645, 616, 4543, 721, 1174, 602, 13897, 3884, 1406, 1175, 13897, 269, 5020, 538, 519, 3037, 2882, 17973, 899, 4551, 543, 13271, 282, 29068, 971, 607, 3618, 19095, 543, 29712, 3941, 282, 2030, 5072, 282, 543, 1256, 11864, 899, 575, 14279, 543, 3983, 7970, 945, 6108, 851, 540, 741, 942, 2630, 2666, 563, 2005, 779, 4122, 1767, 602, 513, 10116, 540, 782, 519, 4541, 779, 9265, 2729, 538, 519, 3037, 267, 855, 602, 779, 2693, 513, 5318, 896, 8063, 618, 269, 3509, 2249, 602, 21078, 972, 267, 3226, 14471, 971, 607, 8290, 267, 4551, 267, 13271, 543, 1486, 1235, 267, 5749, 1406, 2943, 1634, 547, 2257, 563, 268, 519, 11240, 1807, 454, 268, 3037, 1826, 454, 268, 3037, 7509, 454, 268, 1946, 568, 3037, 1271, 454, 268, 3037, 2890, 2041, 454, 268, 3037, 2890, 6716, 1143, 454, 268, 8770, 15203, 454, 268, 2542, 6280, 454, 268, 2916, 1689, 454, 268, 3037, 12159, 454, 268, 5068, 5533, 454, 268, 16220, 9168, 11248, 454, 268, 5841, 13226, 454, 268, 2244, 946, 1689, 454, 268, 15007, 593, 9265, 454, 268, 3037, 9265, 8343, 3060, 454, 268, 2518, 3037, 9265, 11036, 454, 268, 5117, 1382, 454, 268, 3484, 547, 23643, 4640, 454, 268, 15451, 1098, 17852, 454, 268, 3037, 2298, 454, 268, 3037, 27575, 454, 4263, 22630, 26187, 559, 13505, 267, 12779, 2632, 5505, 1577, 519, 5642, 2275, 337, 5241, 2915, 856, 24309, 676, 5101, 17906, 3557, 2160, 454, 291, 18752, 540, 3504, 5605, 2313, 23246, 568, 835, 540, 1906, 1804, 23097, 2803, 1336, 693, 5101, 17906, 12779, 2632, 1670, 3135, 454, 297, 15121, 10064, 2177, 595, 14510, 2443, 744, 2091, 523, 676, 519, 5213, 9530, 638, 626, 4741, 540, 28742, 538, 19232, 26585, 693, 5101, 17906, 3557, 2160, 267, 3173, 723, 6594, 519, 22630, 26187, 559, 13505, 585, 936, 476, 736, 1296, 269, 1358, 723, 4857, 1082, 17255, 3662, 543, 2030, 2249, 540, 519, 1773, 328, 18152, 22184, 602, 5030, 972, 930, 476, 276, 2929, 1296, 3516, 269, 2755, 1804, 24549, 2803, 616, 1134, 1634, 689, 519, 3135, 267, 1804, 11975, 616, 5266, 16613, 267, 865, 2484, 1519, 1152, 32613, 2209, 543, 17077, 3788, 540, 693, 2547, 835, 26453, 15300, 1054, 3032, 563, 3086, 267, 972, 779, 513, 1007, 23246, 593, 519, 6429, 563, 288, 2487, 1353, 3370, 538, 519, 4750, 540, 19232, 26585, 6257, 513, 2582, 1318, 1208, 518, 639, 630, 21639, 6186, 5642, 264, 540, 606, 3662, 3957, 16907, 20652, 267, 513, 4759, 540, 606, 17255, 1895, 811, 4122, 1572, 5642, 2275, 337, 5241, 5243, 269, 634, 3662, 568, 865, 3957, 585, 922, 3532, 4522, 543, 28287, 269, 901, 568, 519, 1101, 2963, 540, 1022, 2831, 538, 519, 2915, 1920, 689, 519, 22630, 26187, 559, 13505, 563, 763, 1382, 729, 5342, 676, 14667, 645, 16230, 326, 1676, 267, 513, 25719, 2875, 693, 519, 2160, 540, 4993, 267, 20588, 267, 543, 620, 4379, 639, 540, 661, 4811, 308, 779, 12779, 26585, 4487, 779, 1982, 267, 543, 3220, 269, 26056, 6341, 340, 1564, 267, 12314, 7548, 538, 519, 661, 4811, 308, 4972, 540, 2983, 657, 31190, 543, 1225, 1807, 693, 519, 22630, 26187, 559, 13505, 543, 7467, 563, 2304, 896, 22190, 3285, 730, 4563, 10196, 10660, 1229, 519, 2413, 1353, 540, 10987, 543, 824, 7786, 24309, 676, 11977, 667, 269, 9253, 21034, 454, 28846, 8361, 25306, 11943, 602, 10987, 666, 13498, 942, 543, 1020, 1007, 8023, 6208, 538, 3210, 454, 1607, 1650, 729, 8385, 3370, 676, 634, 22062, 566, 269, 11977, 667, 269, 9253, 21034, 568, 513, 7548, 540, 1686, 543, 2825, 2090, 693, 2549, 615, 560, 5441, 563, 4002, 513, 26546, 15489, 6640, 538, 476, 5002, 279, 267, 606, 12461, 14688, 21039, 3979, 1977, 812, 588, 549, 1372, 1394, 543, 8521, 1851, 519, 8930, 522, 6545, 267, 3172, 565, 5362, 543, 8988, 12103, 1255, 540, 744, 685, 293, 718, 517, 5244, 538, 853, 269, 8402, 267, 16713, 269, 2991, 11093, 513, 18797, 8286, 4904, 609, 12450, 9440, 25888, 29691, 1896, 17552, 5371, 7515, 267, 29489, 8176, 8361, 25306, 1427, 8972, 547, 513, 7404, 14541, 267, 21641, 543, 15513, 693, 519, 4712, 563, 16729, 513, 4571, 332, 528, 940, 2736, 585, 7401, 543, 547, 770, 630, 9008, 6244, 609, 12450, 9440, 25888, 267, 540, 1576, 1070, 25306, 8120, 547, 1010, 9205, 4603, 269, 2311, 29869, 543, 1586, 693, 546, 23677, 267, 646, 5116, 25888, 23752, 8286, 593, 519, 6288, 7515, 269, 1306, 646, 4362, 267, 9932, 32048, 630, 25721, 529, 20649, 32070, 264, 941, 6325, 14254, 267, 12899, 543, 12129, 8436, 547, 519, 24494, 10889, 564, 269, 2991, 513, 1906, 2395, 267, 25306, 11074, 5356, 25888, 693, 544, 1342, 599, 543, 23863, 267, 543, 4843, 519, 13000, 1152, 693, 21554, 269, 21231, 267, 519, 10987, 4797, 17729, 693, 782, 1614, 2053, 269, 17652, 267, 2705, 267, 789, 4957, 741, 12625, 3270 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5566, 12169, 15305, 267, 476, 1839, 2020, 258, 16453, 1125, 938, 3239, 1239, 454, 343, 17601, 815, 1535, 17601, 1315, 476, 14838, 454, 343, 15305, 815, 1535, 15305, 1315, 476, 14838, 692, 258, 1763, 327, 1901, 519, 3239, 1239, 585, 519, 28708, 531, 3060, 454, 343, 17601, 815, 1535, 17601, 269, 31412, 8987, 272, 267, 2764, 267, 2764, 267, 272, 994, 343, 15305, 815, 1535, 15305, 269, 31412, 8987, 272, 267, 2764, 267, 2764, 267, 272, 9239, 258, 12361, 7844, 20520, 692, 258, 1284, 786, 849, 991, 547, 1711, 938, 2203, 1586, 269, 1677, 798, 713, 267, 14892, 519, 1739, 1591, 269, 1411, 786, 5469, 713, 568, 519, 1482, 2203, 6189, 607, 519, 2063, 3296, 1384, 258, 769, 314, 273, 28660, 454, 5228, 21723, 6503, 21993, 10327, 6230, 617, 1564, 1104, 14938, 1113, 454, 5228, 21723, 6503, 21993, 10327, 7456, 16558, 1104, 667, 1619, 267, 1230, 341, 273, 291, 2073, 7665, 303, 944, 273, 291, 2073, 25065, 1084, 2073, 29100, 719, 2073, 645, 2255, 31863, 1436, 692, 11133, 318, 5035, 525, 815, 476, 1839, 692, 16347, 815, 14938, 1113, 4590, 16347, 14491, 263, 3519, 341, 273, 291, 263, 4037, 2073, 630, 274, 267, 274, 264, 2073, 26058, 815, 476, 272, 2073, 14950, 3429, 815, 1412, 338, 877, 262, 2073, 11852, 815, 1412, 516, 1663, 262, 2073, 3403, 318, 27729, 815, 630, 2764, 267, 2764, 267, 272, 21875, 16347, 14491, 16360, 2255, 31863, 1436, 15405, 16347, 14491, 263, 16655, 303, 944, 273, 291, 9230, 273, 267, 273, 264, 2073, 26058, 815, 476, 273, 2073, 14950, 3429, 815, 1412, 338, 877, 29125, 16347, 14491, 263, 3519, 341, 273, 291, 263, 2004, 2073, 630, 274, 267, 274, 264, 2073, 26058, 815, 476, 272, 2073, 14950, 3429, 815, 1412, 338, 877, 262, 2073, 11852, 815, 1412, 516, 1663, 29125, 16347, 14491, 20573, 1886, 719, 263, 271, 269, 273, 4917, 16347, 14491, 16360, 2255, 31863, 1436, 15405, 16347, 14491, 263, 16655, 303, 944, 273, 291, 9230, 273, 267, 273, 264, 2073, 26058, 815, 476, 273, 2073, 14950, 3429, 815, 1412, 338, 877, 29125, 16347, 14491, 263, 3519, 341, 273, 291, 263, 1839, 2073, 630, 274, 267, 274, 264, 2073, 26058, 815, 476, 272, 2073, 14950, 3429, 815, 1412, 338, 877, 262, 2073, 11852, 815, 1412, 516, 1663, 29125, 16347, 14491, 16360, 2255, 31863, 1436, 15405, 16347, 14491, 263, 16655, 303, 944, 273, 291, 9230, 273, 267, 273, 264, 2073, 26058, 815, 476, 273, 2073, 14950, 3429, 815, 1412, 338, 877, 29125, 16347, 14491, 263, 14503, 520, 1084, 15405, 16347, 14491, 20573, 1619, 263, 28493, 815, 476, 24423, 2073, 11852, 815, 1412, 516, 1663, 29125, 16347, 14491, 20573, 1886, 719, 263, 271, 269, 274, 4917, 16347, 14491, 20573, 1619, 263, 28493, 815, 1003, 318, 5035, 525, 2073, 11852, 815, 1412, 7809, 10946, 10807, 9239, 258, 12361, 4578, 4119, 7695, 692, 258, 6969, 735, 4979, 519, 2203, 267, 621, 781, 942, 547, 1305, 909, 938, 1239, 11160, 7695, 563, 258, 3097, 258, 918, 10327, 2501, 609, 606, 3239, 11160, 7695, 1362, 1572, 2387, 15862, 10574, 17653, 1807, 18269, 1284, 4363, 10992, 856, 519, 1496, 323, 17805, 566, 1934, 28488, 10059, 2517, 330, 10327, 269, 1470, 270, 777, 328, 270, 2181, 30112, 270, 13548, 270, 258, 574, 3042, 520, 698, 10273, 1807, 11665, 1040, 898, 24693, 513, 3126, 540, 3681, 585, 11160, 13586, 707, 1239, 269, 13536, 538, 519, 1576, 267, 649, 3513, 723, 596, 2824, 513, 1697, 11160, 7695, 4640, 269, 1280, 1631, 267, 1491, 513, 1413, 693, 519, 3681, 649, 4312, 5697, 2630, 267, 543, 1287, 14892, 519, 1591, 547, 1711, 606, 3236, 540, 519, 1362, 1384, 258, 769, 314, 274, 28660, 454, 5228, 21723, 6503, 21993, 10327, 269, 2181, 30112, 269, 13548, 1104, 12005, 10574, 17653, 1807, 454, 323, 520, 10402, 815, 12005, 10574, 17653, 1807, 18692, 1038, 10047, 318, 9792, 284, 1015, 267, 476, 1948, 14477, 17967, 2592, 538, 519, 2039, 630, 19592, 4181, 267, 476, 271, 547, 476, 5197, 994, 1038, 24680, 318, 9792, 815, 476, 271, 269, 272, 267, 1948, 15932, 569, 24680, 3239, 3097, 1038, 8700, 318, 3333, 3424, 318, 9792, 284, 271, 269, 272, 267, 476, 1948, 14477, 6521, 2592, 23276, 630, 325, 3555, 540, 2698, 8700, 994, 1038, 4463, 318, 3333, 3424, 318, 9792, 284, 271, 269, 272, 267, 476, 1948, 14477, 6521, 2592, 19794, 630, 325, 3555, 540, 2698, 4463, 994, 1038, 8880, 318, 4148, 760, 18989, 267, 476, 1948, 14477, 16212, 2592, 23276, 454, 1038, 7299, 318, 4148, 760, 25716, 264, 476, 1948, 5213, 1405, 14477, 16212, 2592, 19794, 7531, 258, 6875, 513, 4090, 547, 1589, 827, 1946, 649, 1131, 1616, 547, 16212, 2592, 23276, 267, 855, 711, 19794, 269, 1879, 596, 723, 606, 2856, 267, 7866, 519, 1257, 2630, 780, 258, 3776, 10471, 568, 5961, 540, 3946, 19142, 519, 9904, 269, 1403, 649, 1616, 547, 946, 713, 2203, 547, 19665, 1688, 2592, 2663, 267, 621, 781, 12691, 602, 1346, 3946, 616, 2469, 547, 581, 26700, 16365, 267, 855, 267, 789, 1522, 581, 2451, 26370, 269, 901, 2186, 540, 6389, 10391, 7744, 666, 948, 1118, 1434, 3664, 585, 707, 1378, 2620, 1565, 3156, 780, 258, 12361, 674, 9231, 519, 4578, 547, 519, 31098, 692, 258, 8921, 267, 519, 11718, 1590, 581, 3514, 593, 519, 2866, 10471, 269, 901, 2962, 786, 798, 840, 23343, 1529, 725, 2838, 547, 2965, 1685, 519, 14759, 593, 707, 3239, 1239, 780, 258, 769, 314, 275, 28660, 454, 323, 520, 10402, 32265, 3287, 17601, 9239, 258, 12361, 3281, 4979, 519, 7844, 692, 258, 2060, 519, 1239, 11718, 3236, 2813, 543, 3514, 547, 519, 2866, 1239, 267, 519, 2203, 666, 1631, 581, 16432, 538, 519, 1482, 1259, 607, 938, 4505, 1806, 1384, 258, 769, 314, 276, 28660, 454, 16347, 2593, 335, 850, 10857, 1601, 8782, 322, 1538, 5566, 6831, 1484, 550, 16552, 3299, 14573, 284, 9131, 3147, 5596, 11172, 9239, 258, 12361, 9751, 609, 4119, 7695, 692, 258, 1879, 1210, 606, 3239, 1239, 11718, 609, 918, 10327, 267, 513, 2203, 14884, 513, 3787, 8335, 281, 3079, 540, 1175, 8429, 519, 2387, 343, 17601, 319, 543, 2387, 344, 17601, 319, 14449, 883, 519, 2203, 267, 649, 1780, 519, 11718, 538, 267, 10912, 519, 11718, 781, 1496, 319, 6503, 319, 28488, 10059, 2517, 330, 10327, 269, 1470, 270, 777, 328, 270, 2181, 30112, 270, 13548, 270, 264, 1505, 269, 901, 3123, 519, 2592, 547, 1205, 21284, 2661, 543, 538, 3965, 1318, 1354, 789, 616, 5293, 883, 519, 2203, 585, 2866, 563, 258, 3097, 258, 9198, 2209, 666, 3761, 606, 22543, 9548, 2179, 540, 1239, 267, 543, 950, 649, 946, 873, 547, 5721, 938, 1239, 267, 649, 991, 547, 12799, 1305, 875, 1279, 649, 1616, 1142, 22184, 547, 2196, 267, 610, 3116, 519, 22184, 786, 979, 593, 22543, 17802, 267, 609, 519, 11718, 2870, 606, 22543, 9548, 1297, 540, 21284, 2592, 547, 1683, 519, 2203, 563, 258, 3097, 258, 1284, 12799, 1305, 875, 1279, 649, 1616, 1142, 22184, 547, 2196, 1210, 519, 2387, 25074, 30648, 318, 788, 5255, 319, 3957, 4661, 269, 5221, 2387, 25074, 2608, 16801, 15481, 815, 1297, 15058, 318, 30502, 4671, 11712, 538, 606, 22184, 319, 513, 1455, 2259, 267, 602, 649, 786, 946, 1934, 267, 568, 547, 1305, 519, 1297, 540, 3268, 3160, 547, 519, 1875, 268, 13774, 7757, 10471, 2450, 5258, 676, 519, 16801, 15481, 630, 6518, 814, 513, 9949, 1871, 540, 476, 3953, 1916, 258, 3097, 258, 14840, 519, 1739, 1591, 547, 1294, 519, 2164, 269, 1411, 786, 5469, 519, 2866, 786, 1491, 3476, 982, 1354, 799, 2306, 2631, 2016, 649, 616, 1631, 2866, 593, 811, 1239, 982, 5892, 1384, 258, 769, 314, 277, 28660, 454, 16347, 32265, 5560, 520, 10402, 269, 6503, 3287, 17601, 11971, 17601, 267, 16801, 15481, 284, 3953, 1070, 1948, 4347, 5435, 16801, 15481, 568, 476, 3953, 269, 1284, 1305, 621, 1934, 585, 9355, 563, 16875, 22184, 338, 284, 736, 2676, 16875, 3268, 30648, 318, 788, 5255, 284, 6352, 3287, 17601, 8358, 3953, 267, 1948, 14840, 1482, 1297, 540, 3268, 649, 1131, 952, 649, 941, 711, 1210, 513, 11718, 563, 16875, 15418, 12774, 14352, 343, 15305, 267, 586, 15305, 264, 9239, 258, 12361, 17564, 540, 11778, 692, 258, 1411, 786, 5469, 602, 519, 15418, 6111, 568, 2362, 267, 543, 811, 5812, 269, 901, 1797, 602, 938, 2203, 568, 1100, 3476, 936, 7257, 1154, 538, 519, 1259, 621, 729, 282, 621, 2489, 3278, 1732, 267, 1818, 1732, 11236, 593, 1007, 1239, 780, 258, 12361, 30540, 519, 7844, 692, 258, 3767, 602, 649, 723, 513, 1134, 2389, 11712, 2203, 267, 649, 786, 1616, 547, 11766, 621, 547, 1685, 23221, 593, 1007, 2592, 563, 258, 3097, 258, 898, 568, 1455, 267, 2899, 649, 723, 513, 8036, 2203, 602, 649, 616, 6126, 609, 547, 4688, 621, 547, 12210, 563, 258, 3097, 258, 30540, 519, 2203, 538, 918, 10327, 568, 3833, 2653, 1210, 519, 4688, 1505, 269, 1703, 616, 1114, 12043, 602, 649, 666, 4688, 538, 267, 855, 649, 3513, 946, 519, 9949, 585, 1631, 269, 1403, 596, 9364, 899, 267, 1745, 1863, 547, 2638, 856, 1496, 1492, 12319, 28488, 10059, 2517, 4178, 6745, 16428, 6503, 3820, 270, 7666, 728, 31574, 10327, 4882, 1511, 318, 663, 5334, 518, 658, 1125, 1040, 769, 519, 1985, 21641, 267, 649, 3513, 4452, 519, 2203, 543, 946, 621, 547, 1224, 1007, 1129, 1893, 5961, 1384, 258, 769, 314, 279, 28660, 454, 16347, 4732, 1511, 3488, 553, 331, 31200, 262, 9239, 258, 12361, 12834, 692, 258, 769, 713, 3296, 596, 1031, 918, 10327, 547, 32433, 707, 10471, 267, 519, 1267, 1373, 513, 8036, 2203, 609, 1447, 936, 7257, 1154, 543, 5140, 1449, 3239, 2164, 780, 258, 12693, 13068, 519, 15350, 454, 258, 6969, 3001, 593, 267, 5225, 14892, 519, 1739, 1591, 547, 2312, 909, 519, 29453, 3965, 780, 258, 769, 314, 280, 28660, 454, 5814, 7379, 3155, 454, 1952, 815, 7379, 3155, 6993, 653, 997, 566, 269, 27349, 4590, 1952, 21993, 14533, 269, 4777, 318, 3333, 583, 6658, 263, 12148, 9239, 258, 12361, 8921, 692, 258, 3767, 602, 596, 723, 513, 1134, 2389, 11712, 2203, 10710, 547, 12210, 267, 596, 786, 267, 538, 519, 1985, 3296, 267, 11766, 621, 547, 1118, 11236, 593, 711, 3917, 564, 5498, 523, 2592, 563, 258, 3097, 258, 7490, 3136, 547, 519, 1985, 21641, 281, 1496, 265, 26329, 1546, 7877, 265, 28488, 6860, 321, 318, 553, 331, 7272, 9438, 687, 269, 760, 2106, 321, 1916, 0, 12528, 318, 16769, 6889, 327, 6702, 527, 476, 2190, 2668, 20889, 14052, 2745, 263, 12528, 318, 16769, 3418, 5897, 12528, 6889, 327, 6702, 527, 476, 2190, 2668, 20889, 2891, 2437, 3418, 2745, 263, 12528, 10142, 4067, 267, 720, 6889, 327, 6702, 527, 267, 476, 2190, 2668, 20889, 2891, 2437, 3418, 2745, 28442, 3418, 2745, 263, 720, 3418, 5897, 4067, 284, 14277, 327, 6702, 527, 14824, 2190, 257, 15947, 2745, 2891, 2437, 269, 21860, 28442, 17903, 5897, 24653, 333, 25507, 9272, 2891, 10938, 519, 1003, 281, 834, 17903, 1721, 1775, 538, 2039, 263, 272, 19885, 266, 272, 8029, 825, 585, 795, 538, 2039, 263, 272, 267, 328, 266, 272, 8029, 1038, 1820, 2891, 265, 2580, 754, 6889, 834, 3418, 825, 1820, 14052, 24653, 0, 258, 19804, 318, 821, 25507, 9272, 2891, 10938, 1101, 1297, 8442, 3418, 258, 1003, 4671, 6851, 25507, 9272, 2891, 10938, 3813, 1297, 8442, 3418, 258, 2698, 284, 11133, 318, 821, 1341, 1003, 4671, 6851, 1477, 258, 1820, 2891, 20135, 568, 257, 1341, 1193, 6025, 4973, 4297, 333, 1477, 11133, 272, 6889, 275, 29177, 11133, 273, 284, 276, 1477, 11133, 274, 284, 275, 269, 271, 1477, 20135, 284, 11133, 273, 266, 11133, 274, 1477, 2745, 6025, 4973, 264, 0, 692, 2745, 2891, 11767, 519, 2012, 540, 519, 3758, 585, 799, 596, 1616, 519, 3877, 540, 7097, 630, 1122, 910, 16339, 27809, 17902, 17983, 32007, 6112, 6936, 912, 453, 339, 787, 912, 453, 453, 6358, 12803, 815, 3403, 2891, 11767, 519, 2012, 540, 519, 3758, 585, 799, 596, 1616, 519, 3877, 540, 7097, 630, 1122, 910, 16339, 27809, 17902, 9385, 333, 8442, 3248, 453, 453, 332, 990, 3971, 850, 815, 1930, 9272, 12803, 10086, 337, 10807, 3248, 453, 453, 19874, 454, 453, 21955, 11711, 8253, 28062, 13286, 10778, 453, 13537, 9497, 1607, 3758, 568, 711, 1459, 538, 519, 15682, 269, 7490, 2119, 1586, 15419, 320, 815, 22373, 16031, 1701, 2437, 300, 3464, 1701, 6540, 12248, 815, 1496, 271, 267, 271, 267, 271, 267, 271, 267, 271, 316, 1948, 9146, 267, 18792, 267, 6760, 267, 9814, 267, 16897, 692, 2102, 516, 815, 11713, 2102, 516, 6910, 8443, 257, 2112, 14824, 325, 697, 14824, 11584 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3154, 20984, 543, 1118, 2386, 602, 606, 10380, 568, 909, 547, 3009, 269, 2201, 1283, 540, 519, 6128, 596, 3580, 991, 585, 519, 2816, 267, 596, 3580, 991, 547, 946, 707, 10230, 1983, 547, 2721, 909, 1942, 9193, 585, 7218, 269, 13937, 8030, 616, 1572, 2390, 547, 1683, 1648, 22766, 543, 1604, 7888, 3435, 563, 3963, 4825, 1778, 607, 513, 13937, 23910, 454, 28275, 609, 519, 2804, 6433, 540, 476, 1220, 279, 267, 2816, 3354, 814, 3144, 593, 513, 1007, 2495, 269, 634, 4611, 25359, 538, 519, 2518, 4346, 814, 1305, 519, 3942, 585, 1804, 13980, 540, 519, 2551, 547, 581, 7334, 827, 741, 7694, 563, 3080, 540, 519, 5383, 540, 1373, 513, 3154, 11653, 568, 602, 596, 1683, 513, 4105, 3028, 269, 7085, 687, 540, 5321, 543, 1870, 5411, 2066, 519, 2197, 7048, 593, 3154, 14233, 269, 634, 3747, 585, 19579, 3154, 8030, 786, 3136, 547, 2291, 585, 1296, 547, 2097, 269, 4595, 596, 1683, 606, 1898, 3028, 602, 779, 538, 3747, 267, 596, 666, 2503, 707, 4747, 547, 581, 811, 982, 25685, 563, 27039, 593, 2436, 596, 960, 585, 513, 2754, 607, 513, 27637, 610, 1376, 707, 1378, 3028, 267, 596, 666, 1118, 513, 1434, 2713, 269, 5015, 267, 952, 596, 1810, 1406, 7500, 1655, 538, 513, 8370, 3562, 19317, 1604, 267, 4742, 513, 3154, 11653, 568, 513, 3501, 3903, 563, 2690, 1346, 602, 5660, 519, 2702, 547, 960, 3544, 519, 5604, 267, 1169, 1554, 786, 581, 513, 2189, 1995, 269, 13298, 982, 2348, 519, 4374, 267, 3275, 543, 1296, 11100, 883, 519, 3965, 540, 9361, 3297, 606, 5604, 11380, 610, 6455, 4831, 267, 707, 960, 1485, 607, 513, 3154, 11653, 786, 4734, 596, 609, 3407, 29872, 1734, 543, 2984, 269, 1403, 596, 616, 513, 1966, 24626, 602, 29263, 896, 7683, 4657, 2175, 267, 1373, 513, 3154, 11653, 786, 3142, 856, 519, 1655, 538, 596, 563, 1432, 19120, 885, 9701, 513, 18370, 8826, 13937, 23910, 5620, 888, 763, 3693, 602, 5036, 513, 3154, 11653, 6306, 689, 824, 2930, 6009, 568, 519, 1249, 602, 596, 960, 609, 2067, 3154, 269, 901, 1797, 602, 4742, 21295, 543, 14468, 538, 7231, 609, 3154, 568, 513, 32563, 269, 3958, 267, 596, 3580, 991, 547, 581, 2111, 547, 6023, 519, 2168, 7569, 602, 519, 2816, 4025, 593, 596, 563, 4407, 5876, 2188, 883, 519, 2816, 267, 2348, 513, 5679, 871, 585, 4052, 1966, 6061, 568, 2556, 269, 9796, 532, 3007, 547, 519, 10545, 3877, 568, 1898, 543, 519, 2702, 547, 13404, 593, 519, 4305, 693, 1688, 568, 4105, 269, 13937, 8030, 991, 547, 4865, 1164, 7400, 6310, 1702, 799, 568, 2556, 593, 513, 3232, 4493, 563, 2252, 596, 2907, 723, 2930, 543, 7344, 1983, 267, 596, 786, 1265, 1427, 20995, 607, 513, 3154, 11653, 1360, 16022, 269, 769, 519, 2013, 602, 596, 3668, 513, 2930, 4282, 267, 519, 18515, 547, 10536, 7344, 1983, 786, 1118, 1919, 4443, 585, 596, 269, 1403, 596, 1265, 4052, 11707, 547, 581, 3544, 707, 4313, 7997, 267, 596, 949, 1616, 547, 2015, 513, 1114, 4876, 2619, 563, 3080, 540, 519, 703, 836, 17156, 602, 786, 5818, 707, 7145, 607, 513, 3154, 11653, 568, 707, 2702, 547, 5968, 269, 13937, 8030, 6108, 1034, 540, 741, 942, 1818, 18203, 543, 19698, 269, 1717, 267, 835, 540, 519, 1034, 1271, 3344, 540, 519, 2816, 568, 519, 4205, 596, 723, 609, 5561, 267, 824, 23390, 543, 19217, 832, 269, 2659, 2702, 547, 22942, 519, 3390, 689, 707, 6075, 779, 6609, 786, 948, 596, 13209, 519, 1966, 3533, 543, 7561, 269, 1411, 3580, 723, 547, 2322, 5561, 693, 8897, 267, 21907, 707, 13927, 543, 8207, 1082, 824, 6927, 563, 1432, 6496, 898, 6875, 1677, 4825, 1778, 607, 513, 13937, 23910, 888, 2467, 616, 1079, 2596, 10092, 596, 666, 1246, 547, 1831, 513, 3154, 11653, 269, 634, 1101, 568, 547, 4019, 547, 513, 2817, 15642, 1049, 19120, 2305, 267, 610, 715, 309, 304, 267, 29095, 1222, 269, 901, 3322, 2324, 585, 606, 3964, 2754, 1141, 596, 786, 2744, 519, 2556, 1995, 1247, 4974, 585, 519, 26556, 540, 519, 9757, 20340, 563, 763, 824, 4781, 568, 547, 679, 1503, 538, 513, 3728, 13652, 1188, 3154, 2866, 1576, 269, 901, 1353, 1982, 11912, 1524, 593, 519, 942, 596, 3580, 991, 547, 3035, 2407, 28730, 269, 1635, 1904, 532, 585, 513, 2866, 1982, 267, 596, 3580, 723, 811, 1852, 936, 707, 2069, 269, 5015, 267, 715, 309, 304, 29095, 4721, 666, 581, 3810, 29653, 267, 2495, 602, 5624, 616, 3908, 269, 901, 666, 1611, 2348, 547, 3653, 942, 7996, 585, 9634, 547, 1863, 909, 269, 29460, 513, 3154, 11653, 3340, 596, 547, 1780, 606, 2872, 28730, 971, 607, 513, 1377, 1614, 715, 309, 304, 610, 4309, 513, 26885, 538, 513, 3154, 5829, 1576, 563, 288, 2347, 6452, 1042, 1243, 27872, 30868, 267, 610, 589, 5425, 267, 585, 3154, 2866, 786, 581, 2877, 1354, 596, 666, 581, 2808, 13937, 15822, 21362, 1229, 269, 7053, 267, 596, 3580, 991, 547, 11578, 609, 519, 13937, 15822, 19193, 585, 519, 14233, 596, 786, 581, 2324, 593, 269, 2368, 540, 519, 20340, 596, 3489, 1331, 11759, 13937, 8881, 630, 6717, 301, 272, 1070, 23582, 13937, 4425, 32078, 1299, 4826, 1261, 11596, 630, 290, 2894, 310, 2969, 264, 543, 13937, 674, 2231, 543, 9931, 1261, 11596, 630, 12487, 305, 272, 1040, 634, 4505, 596, 6430, 593, 1018, 5686, 540, 3154, 14233, 596, 1616, 547, 1445, 593, 267, 519, 19692, 596, 666, 9096, 707, 2866, 563, 8967, 754, 930, 942, 15388, 519, 1114, 10092, 596, 666, 1491, 1369, 519, 2361, 269, 6333, 707, 1378, 7375, 607, 1134, 607, 519, 1761, 585, 2208, 602, 707, 2199, 1858, 3091, 585, 1142, 27115, 1826, 269, 1684, 596, 4782, 2324, 811, 609, 21427, 610, 4213, 286, 1548, 3255, 2291, 538, 707, 4884, 585, 1142, 27115, 1826, 286, 1772, 972, 513, 2362, 15271, 1761, 585, 1978, 24501, 936, 1866, 888, 1432, 3657, 519, 11588, 888, 763, 7887, 4324, 1034, 17053, 3154, 8030, 786, 13712, 568, 519, 14057, 269, 2060, 14468, 3154, 8030, 1818, 909, 547, 11278, 3374, 267, 1822, 2390, 4742, 11727, 267, 713, 568, 513, 2101, 9513, 1448, 269, 4634, 607, 606, 22961, 823, 267, 596, 666, 7118, 11278, 1428, 267, 1822, 1247, 596, 1451, 269, 18391, 2417, 693, 519, 5383, 540, 4742, 513, 3154, 11653, 267, 519, 8112, 547, 6430, 945, 596, 3580, 581, 2324, 585, 568, 1164, 593, 519, 1592, 269, 1411, 666, 3442, 547, 960, 585, 606, 6142, 2754, 267, 1831, 513, 1016, 4186, 847, 528, 585, 3703, 13937, 610, 1445, 593, 3257, 5826, 960, 585, 15603, 8069, 563, 763, 811, 1995, 596, 24646, 909, 267, 519, 811, 3255, 786, 1992, 2933, 269, 1403, 596, 2461, 2324, 1369, 519, 5943, 540, 513, 2462, 2754, 267, 596, 786, 723, 519, 4390, 547, 1847, 909, 883, 513, 2359, 610, 9972, 1909, 269, 14171, 11036, 538, 2417, 532, 707, 2069, 543, 20340, 1247, 593, 519, 2816, 786, 849, 1291, 547, 513, 2362, 14057, 543, 2799, 3255, 563, 3080, 540, 519, 2640, 602, 5749, 1406, 5018, 1419, 538, 4276, 609, 519, 2816, 540, 513, 3154, 11653, 568, 519, 4316, 547, 3060, 269, 1306, 513, 11285, 602, 2488, 3407, 2533, 547, 7264, 543, 1870, 5411, 267, 596, 786, 2743, 513, 2647, 2039, 540, 1004, 269, 5510, 1359, 2298, 3028, 543, 28429, 1434, 2792, 1983, 666, 1930, 707, 20030, 547, 1870, 3255, 563, 2690, 1383, 267, 513, 10821, 6075, 602, 568, 6126, 609, 707, 960, 949, 2308, 707, 2533, 585, 741, 1870, 610, 4363, 596, 547, 513, 3659, 269, 1403, 596, 2461, 606, 4830, 28079, 267, 713, 786, 2333, 707, 5377, 1899, 269, 1717, 267, 1256, 952, 596, 2461, 2324, 1369, 513, 2754, 267, 8744, 538, 6455, 786, 581, 15874, 543, 666, 1291, 547, 606, 18175, 24612, 2816, 1909, 1524, 519, 4155, 563, 8802, 8973, 707, 2816, 2208, 267, 1169, 1032, 950, 596, 1427, 820, 707, 589, 5425, 267, 596, 786, 723, 519, 2702, 547, 1201, 1371, 707, 1983, 269, 1306, 596, 5544, 3466, 538, 519, 2344, 267, 596, 666, 8998, 707, 3007, 1472, 1007, 4066, 610, 2533, 563, 1692, 7043, 898, 4024, 6875, 454, 2026, 5018, 1657, 267, 519, 942, 621, 3217, 547, 1831, 513, 3154, 11653, 5673, 593, 519, 2619, 596, 1491, 3823, 707, 2866, 269, 19805, 547, 979, 609, 519, 29095, 1222, 4781, 786, 1491, 1296, 952, 596, 666, 10544, 513, 5544, 267, 547, 2253, 609, 563, 16978, 532, 547, 679, 1503, 538, 513, 3728, 13652, 1188, 1982, 666, 1491, 607, 2370, 607, 3670, 3275, 269, 2755, 513, 3728, 13652, 1188, 2027, 2213, 2866, 1576, 3884, 1406, 6976, 899, 519, 22631, 1222, 267, 519, 942, 10710, 538, 13844, 707, 13995, 786, 14377, 547, 811, 2724, 2390, 10024, 519, 13781, 563, 7476, 593, 519, 11202, 547, 29460, 513, 13937, 23910, 454, 2026, 519, 2916, 16786, 3587, 513, 3152, 3390, 593, 519, 3084, 16786, 267, 3154, 14233, 786, 3136, 547, 1332, 538, 741, 9860, 543, 946, 269, 18786, 707, 3460, 607, 513, 3154, 11653, 2221, 814, 519, 1761, 547, 1683, 596, 609, 513, 20019, 5150, 2104, 538, 513, 2361, 602, 21427, 5660, 543, 2463, 269, 15531, 519, 1655, 3728, 13652, 1188, 1982, 2221, 786, 1450, 596, 547, 3035, 2816, 3354, 538, 513, 3395, 5823, 540, 519, 4346, 563, 268, 4825, 20995, 538, 476, 1708, 272, 454, 268, 13937, 23910, 6092, 14174, 17988, 454, 268, 1215, 1677, 17292, 634, 9406, 9751, 6092, 454, 268, 9701, 594, 28161, 513, 14333, 27124, 12305, 518, 888, 268, 1772, 898, 14568, 547, 2142, 8682, 7232, 332, 23903, 610, 4518, 1280, 513, 7577, 286, 0, 2791, 616, 6534, 547, 713, 10792, 3114, 1169, 1554, 267, 543, 596, 1522, 1256, 3548, 621, 689, 707, 26025, 1317, 519, 10338, 540, 590, 11862, 568, 811, 689, 5711, 11940, 6242, 543, 865, 267, 568, 519, 4960, 540, 18417, 4189, 621, 454, 2080, 568, 519, 1592, 540, 2427, 2360, 602, 590, 11862, 814, 593, 5711, 11940, 6242, 912, 268, 590, 11862, 4679, 27978, 540, 11940, 6242, 547, 1312, 3282, 543, 1216, 19729, 6878, 267, 3976, 267, 1522, 1267, 538, 10338, 540, 1346, 5739, 6878, 799, 6382, 1131, 711, 581, 12842, 689, 11940, 6242, 269, 1924, 267, 590, 11862, 3294, 786, 2333, 922, 1378, 10338, 563, 268, 31406, 3288, 1722, 331, 23253, 25998, 609, 519, 18254, 540, 21973, 593, 5959, 19596, 267, 1813, 547, 799, 519, 1286, 625, 22629, 676, 21973, 1522, 581, 4299, 563, 268, 590, 11862, 693, 1970, 9830, 476, 271, 269, 1428, 260, 814, 3254, 3441, 543, 2669, 540, 2281, 538, 5711, 11940, 6242, 563, 268, 769, 513, 1353, 267, 5396, 941, 6534, 547, 590, 11862, 543, 590, 11862, 6954, 26025, 585, 476, 273, 3764, 585, 476, 275, 15654, 2395, 269, 2677, 638, 14212, 610, 3441, 547, 5711, 13423, 26375, 729, 4810, 1739, 4598, 547, 590, 11862, 25202, 26025, 543, 711, 609, 590, 11862, 6954, 13594, 563, 268, 769, 1776, 2147, 1353, 267, 590, 11862, 26025, 4951, 8886, 656, 1198, 609, 1175, 2582, 476, 1428, 3764, 4598, 563, 268, 590, 11862, 666, 2333, 8458, 540, 3478, 21428, 628, 748, 21385, 282, 865, 952, 596, 1205, 7928, 1507, 21385, 538, 5023, 267, 2638, 952, 707, 26025, 814, 590, 11862, 563, 268, 23225, 949, 8044, 602, 590, 11862, 6971, 9190, 1293, 267, 2705, 267, 835, 1353, 18327, 602, 8392, 28411, 26593, 814, 513, 1732, 4550, 1532, 17424, 1198, 982, 590, 11862, 543, 28886, 32221, 534, 630, 534, 1278, 11786, 12146, 1916, 1432, 596, 666, 798, 888, 29490, 2638, 519, 12146, 1592, 540, 707, 26025, 585, 4527, 540, 590, 11862, 267, 799, 666, 581, 7396, 676, 1739, 4408, 912, 268, 31406, 5487, 1722, 331, 590, 17139, 622, 454, 268, 31406, 546, 1712, 1097, 331, 23253, 454, 268, 590, 5285, 584, 545, 3679, 267, 1395, 617, 1712, 1097, 331, 1965, 614, 267, 9770, 6070, 454, 268, 31406, 6070, 16247, 545, 3679 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 855, 711, 513, 5485, 26963, 269, 4706, 12117, 454, 24119, 1742, 593, 1079, 2609, 281, 28431, 689, 4570, 5783, 8128, 543, 519, 5132, 540, 519, 454, 1410, 528, 322, 626, 269, 7826, 608, 528, 322, 1143, 568, 1869, 835, 540, 519, 1034, 14461, 543, 6896, 540, 782, 4540, 454, 1410, 528, 322, 1143, 12738, 269, 1924, 12661, 333, 608, 528, 322, 3359, 267, 2687, 547, 519, 32588, 1876, 540, 519, 5939, 267, 666, 581, 454, 1410, 2075, 2213, 1152, 676, 606, 3921, 7134, 17308, 630, 528, 2362, 840, 17218, 1070, 609, 519, 2769, 10479, 540, 454, 1492, 2199, 24649, 267, 543, 1152, 1310, 513, 6297, 2564, 6514, 547, 23868, 519, 7872, 454, 1993, 2790, 4576, 269, 634, 7826, 15610, 630, 5002, 279, 264, 679, 14765, 1441, 281, 968, 21841, 560, 819, 11129, 711, 547, 454, 2041, 1476, 15903, 609, 4984, 267, 2705, 1454, 741, 1686, 949, 581, 954, 342, 8576, 267, 6862, 9059, 2676, 6011, 1197, 3043, 621, 949, 581, 267, 609, 513, 16048, 3909, 678, 924, 1848, 12085, 7396, 538, 519, 4936, 454, 761, 783, 607, 1373, 10832, 540, 2009, 1629, 4577, 15896, 1331, 281, 6340, 4914, 610, 454, 534, 2615, 4654, 540, 799, 519, 22234, 814, 1100, 1991, 1702, 267, 16750, 5759, 454, 663, 4222, 267, 1702, 540, 6456, 610, 6552, 1919, 799, 519, 22234, 814, 1100, 1259, 540, 454, 3104, 532, 267, 606, 513, 11437, 547, 4376, 13411, 267, 1527, 2224, 1025, 5684, 1335, 344, 267, 543, 5924, 5485, 686, 5076, 630, 293, 518, 828, 2676, 763, 7826, 5783, 15428, 519, 681, 924, 540, 1401, 528, 322, 1143, 538, 5130, 476, 1960, 280, 267, 1498, 519, 454, 10177, 6463, 681, 924, 540, 1401, 528, 322, 1143, 538, 5824, 568, 4847, 607, 606, 4781, 269, 634, 957, 540, 608, 528, 322, 1143, 568, 454, 4621, 30872, 547, 581, 606, 11212, 5906, 5289, 4305, 269, 634, 9161, 17648, 602, 22234, 454, 11825, 976, 11677, 741, 1863, 786, 267, 1498, 519, 27313, 949, 3180, 1852, 936, 741, 2168, 454, 7853, 267, 543, 3322, 19001, 267, 25736, 267, 543, 1045, 23148, 269, 4033, 12596, 949, 723, 1044, 454, 4310, 538, 519, 2250, 267, 971, 607, 519, 31409, 710, 966, 1228, 27164, 2893, 3570, 269, 769, 519, 2413, 5736, 267, 7826, 454, 321, 25615, 10355, 2278, 1125, 608, 528, 322, 3359, 267, 16042, 1131, 15515, 2665, 609, 519, 16912, 1632, 454, 7474, 2790, 610, 2168, 4576, 568, 811, 2693, 630, 290, 2317, 334, 267, 476, 1220, 272, 1916, 5629, 811, 267, 519, 30810, 540, 519, 4670, 634, 1401, 528, 322, 1143, 540, 14667, 14986, 630, 1220, 276, 264, 729, 1759, 454, 18030, 569, 593, 713, 3504, 3661, 269, 769, 1249, 267, 519, 4670, 4553, 519, 4808, 540, 606, 608, 528, 322, 1143, 454, 704, 2739, 569, 269, 2290, 540, 519, 1101, 2798, 519, 8874, 2306, 568, 602, 14667, 729, 3564, 2564, 1416, 454, 663, 602, 519, 14986, 1920, 5116, 519, 8171, 540, 741, 8250, 538, 12429, 18703, 779, 3946, 563, 5475, 1202, 1005, 602, 14667, 729, 8197, 22234, 267, 12429, 18703, 8179, 13170, 689, 519, 454, 29985, 24649, 547, 1685, 519, 608, 528, 322, 1143, 269, 2060, 14667, 779, 9844, 543, 519, 9844, 540, 1200, 454, 26967, 267, 12429, 18703, 13986, 519, 608, 528, 322, 1143, 269, 1306, 23576, 267, 14667, 3459, 547, 3717, 538, 454, 11133, 2730, 267, 3504, 4654, 1519, 1312, 5824, 543, 589, 18769, 545, 269, 4173, 15629, 3252, 454, 26200, 11375, 3861, 267, 971, 607, 17259, 998, 513, 6885, 689, 519, 2034, 6989, 543, 18530, 454, 628, 902, 2484, 3564, 519, 2702, 540, 513, 1480, 563, 2026, 713, 3105, 1383, 28837, 267, 14667, 11124, 998, 513, 1480, 608, 528, 322, 1143, 563, 4913, 267, 950, 6313, 1018, 606, 608, 528, 322, 1143, 5963, 568, 267, 621, 1223, 581, 11130, 602, 606, 608, 528, 322, 1143, 454, 322, 746, 1491, 1747, 1317, 540, 519, 20807, 532, 540, 513, 2168, 4087, 269, 1280, 1383, 538, 1312, 634, 454, 8649, 640, 6807, 9710, 2928, 630, 1220, 276, 264, 543, 634, 670, 17481, 538, 21086, 630, 1220, 280, 1070, 1312, 3885, 4280, 513, 454, 1440, 5006, 547, 2097, 543, 2973, 572, 519, 2777, 540, 922, 9409, 269, 769, 713, 1106, 267, 519, 17308, 729, 9117, 547, 1863, 454, 1492, 2777, 689, 519, 9409, 602, 17743, 539, 1369, 269, 4475, 267, 621, 568, 711, 1152, 2009, 547, 1863, 9409, 454, 7474, 568, 16290, 1369, 513, 1480, 1106, 267, 855, 849, 547, 5305, 9409, 689, 513, 2168, 4087, 538, 606, 454, 8196, 540, 27284, 626, 8211, 3098, 543, 519, 12866, 27284, 1684, 551, 21218, 454, 6524, 4098, 713, 10126, 267, 621, 1590, 581, 7074, 602, 519, 1246, 3296, 786, 454, 18474, 710, 1312, 4798, 4843, 1657, 281, 519, 946, 540, 27284, 8211, 3098, 543, 1287, 519, 454, 9188, 5524, 540, 519, 946, 540, 519, 2947, 27284, 1684, 551, 21218, 269, 769, 2036, 532, 891, 4798, 267, 621, 454, 26078, 757, 513, 3152, 1620, 540, 3140, 3909, 3334, 269, 1306, 23576, 538, 519, 454, 516, 1613, 540, 3332, 267, 27284, 1143, 568, 8547, 2390, 476, 276, 29625, 1519, 281, 630, 272, 264, 519, 454, 1231, 17508, 543, 1018, 519, 5830, 1289, 1102, 718, 2225, 540, 23075, 267, 630, 273, 264, 519, 25976, 540, 2441, 454, 263, 10175, 3571, 20424, 4332, 1070, 630, 274, 264, 519, 18839, 776, 693, 821, 618, 540, 3571, 2669, 267, 630, 275, 264, 3571, 21055, 454, 637, 18675, 689, 519, 4666, 267, 543, 630, 276, 264, 3571, 21055, 2132, 693, 519, 5822, 28527, 269, 4935, 267, 519, 454, 31742, 532, 568, 606, 2079, 540, 1141, 1022, 835, 540, 519, 29625, 616, 23576, 538, 4207, 454, 2710, 551, 9068, 594, 281, 5606, 718, 2225, 540, 23075, 454, 763, 1101, 14985, 540, 27284, 1143, 13187, 602, 972, 568, 1102, 718, 2225, 538, 27403, 563, 2026, 971, 267, 713, 14985, 568, 3833, 15069, 10268, 538, 519, 4670, 634, 744, 5443, 630, 1220, 277, 1040, 1306, 454, 26061, 538, 519, 3883, 540, 1234, 767, 725, 630, 553, 26518, 1657, 1070, 621, 729, 1455, 10343, 585, 454, 770, 1258, 12002, 547, 581, 10478, 519, 3781, 6607, 585, 593, 5765, 635, 1115, 269, 7102, 8289, 540, 513, 28661, 454, 14588, 5338, 4724, 519, 3618, 1131, 538, 1249, 10332, 10271, 602, 519, 1884, 747, 2077, 729, 8197, 454, 9799, 269, 1677, 513, 27284, 626, 1825, 591, 267, 1022, 28661, 1131, 24901, 519, 2621, 540, 519, 1884, 747, 2077, 454, 20357, 2687, 547, 14985, 835, 267, 27403, 568, 1102, 718, 1043, 543, 568, 711, 547, 581, 20402, 269, 898, 568, 454, 2254, 14336, 5566, 267, 711, 513, 1650, 267, 543, 711, 22530, 819, 269, 4935, 267, 519, 2621, 7074, 538, 519, 634, 744, 5443, 454, 263, 1220, 277, 264, 941, 3144, 12777, 543, 941, 711, 20402, 269, 5015, 267, 950, 7917, 454, 29171, 2642, 602, 1010, 5067, 1185, 519, 24795, 540, 476, 26116, 593, 519, 1394, 540, 1010, 2212, 267, 646, 5612, 454, 263, 663, 1510, 2243, 264, 1500, 519, 3375, 547, 12638, 1864, 269, 7917, 6785, 543, 6956, 519, 454, 15132, 636, 560, 1734, 540, 12456, 1329, 779, 4332, 630, 9799, 593, 4873, 476, 277, 628, 693, 476, 277, 4456, 264, 543, 1705, 711, 2243, 1018, 454, 928, 17660, 547, 581, 2944, 269, 4495, 811, 267, 634, 744, 5443, 630, 1220, 277, 264, 6829, 519, 27284, 14985, 540, 454, 514, 6420, 2225, 540, 27403, 563, 293, 1495, 4442, 626, 543, 824, 5345, 13370, 673, 10271, 3622, 723, 606, 7357, 454, 18528, 5166, 2070, 269, 901, 568, 6766, 676, 930, 540, 741, 4978, 269, 4595, 27284, 1235, 3494, 454, 514, 519, 538, 20482, 3599, 540, 519, 6426, 267, 789, 2543, 607, 3020, 1346, 15102, 799, 1533, 602, 519, 10971, 454, 663, 15831, 525, 10847, 539, 676, 824, 10764, 616, 267, 538, 4641, 267, 30616, 543, 1010, 1629, 976, 563, 12234, 267, 789, 2543, 30616, 607, 513, 2713, 11769, 267, 513, 29610, 25976, 945, 568, 11207, 6131, 547, 454, 323, 652, 549, 3539, 1004, 779, 2729, 543, 8297, 1456, 741, 5132, 269, 1358, 1932, 2543, 2933, 607, 1373, 538, 513, 454, 11666, 6681, 968, 338, 2869, 3770, 6370, 892, 1107, 513, 2123, 6370, 609, 30616, 543, 1010, 1629, 976, 269, 4935, 267, 621, 729, 454, 5271, 1211, 602, 7917, 267, 538, 519, 4670, 634, 744, 5443, 630, 1220, 277, 264, 729, 8165, 1010, 6418, 1629, 976, 269, 7917, 454, 11034, 539, 547, 1174, 519, 4191, 519, 7122, 729, 10213, 1864, 827, 1010, 27313, 5067, 269, 4935, 2676, 27144, 4810, 606, 6418, 6370, 610, 5310, 267, 513, 2123, 6370, 609, 30616, 5128, 2676, 3086, 602, 519, 3105, 2079, 814, 25340, 20109, 2390, 930, 11347, 454, 1410, 3263, 540, 519, 13210, 540, 4984, 543, 15600, 782, 519, 3140, 3334, 454, 5976, 514, 267, 713, 5098, 786, 1631, 1463, 922, 3007, 547, 10747, 519, 10143, 9409, 269, 898, 1590, 581, 454, 2254, 539, 267, 2705, 267, 602, 10747, 519, 10143, 9409, 568, 1152, 1369, 519, 3909, 2796, 543, 454, 9418, 332, 269, 769, 2417, 1353, 267, 621, 1223, 581, 7074, 602, 519, 10143, 9409, 1223, 8532, 811, 454, 4818, 7859, 602, 616, 711, 8209, 3909, 538, 2470, 269, 1717, 267, 585, 519, 4052, 454, 574, 4124, 540, 713, 5098, 267, 9409, 538, 519, 3909, 2631, 786, 581, 9916, 563, 763, 3105, 5618, 1806, 540, 3909, 4978, 786, 1631, 7406, 519, 811, 5059, 454, 29171, 15664, 540, 519, 10143, 9409, 269, 1717, 267, 621, 1590, 581, 556, 3438, 730, 602, 4984, 568, 513, 2189, 1106, 454, 1993, 2792, 602, 4386, 1063, 21071, 267, 1063, 3909, 3401, 543, 13794, 2676, 24992, 28288, 540, 1114, 5132, 338, 267, 543, 1256, 1063, 9439, 543, 519, 24587, 269, 769, 454, 15209, 713, 1271, 13429, 538, 2247, 267, 519, 1739, 4798, 6537, 689, 519, 8874, 454, 15884, 12013, 1518, 1141, 4010, 519, 10143, 9409, 568, 1459, 543, 1946, 621, 568, 3769, 538, 454, 31094, 2305, 610, 25334, 11970, 540, 519, 23942, 5345, 559, 454, 20779, 4577, 15896, 568, 1419, 519, 2165, 1031, 547, 4766, 519, 1852, 936, 513, 1480, 454, 845, 676, 513, 27313, 269, 2677, 18587, 540, 1629, 4577, 22590, 1419, 1331, 281, 2144, 1078, 8823, 610, 454, 26051, 885, 267, 5996, 6160, 687, 267, 968, 22327, 892, 543, 535, 31021, 607, 952, 835, 941, 12955, 630, 21547, 301, 18636, 267, 476, 1960, 276, 1916, 19284, 538, 8756, 532, 610, 824, 3029, 540, 15896, 267, 519, 1641, 814, 1100, 1852, 936, 519, 454, 335, 1601, 31757, 11769, 543, 865, 621, 786, 6414, 2394, 7142, 547, 4734, 519, 6408, 267, 2356, 998, 513, 454, 845, 540, 608, 528, 322, 1143, 269, 4033, 11673, 1331, 281, 1569, 547, 6456, 1702, 543, 4914, 454, 331, 16722, 267, 27290, 2242, 538, 13047, 703, 29396, 543, 11132, 2497, 267, 6727, 5920, 540, 454, 514, 329, 1722, 630, 2675, 7806, 2583, 267, 11116, 7436, 264, 610, 15087, 267, 543, 2706, 16058, 4222, 630, 293, 518, 828, 267, 476, 1220, 275, 1916, 303, 1601, 11970, 4386, 538, 2789, 3029, 2429, 519, 8874, 9916, 269, 4595, 519, 454, 19702, 1214, 540, 15896, 568, 865, 5318, 267, 621, 568, 1655, 17411, 547, 979, 4670, 676, 4670, 538, 713, 2796, 563, 24375, 940, 609, 3474, 534, 5436, 11314, 630, 1220, 278, 1070, 15576, 773, 11124, 689, 513, 1629, 4577, 15896, 454, 26238, 519, 2085, 540, 476, 276, 269, 1306, 14754, 538, 519, 4670, 267, 15576, 773, 14439, 1200, 1101, 1629, 4577, 1995, 454, 553, 513, 1804, 3109, 2527, 693, 519, 3723, 540, 1200, 5127, 267, 22090, 27128, 1200, 2012, 543, 7244, 8185, 563, 9961, 519, 4670, 621, 568, 2312, 602, 519, 27313, 6410, 609, 15576, 773, 2429, 1200, 1272, 563, 296, 928, 10903, 2406, 267, 519, 27313, 3576, 1852, 540, 15576, 773, 543, 3361, 1200, 547, 957, 9490, 569, 1510, 1200, 454, 32474, 269, 1280, 1383, 267, 15576, 773, 729, 2083, 4364, 1282, 519, 3781, 676, 1200, 7911, 23136, 12130, 1695, 282, 519, 454, 28291, 4951, 602, 15576, 773, 1131, 12687, 693, 3781, 267, 1205, 909, 689, 5127, 267, 543, 1796, 538, 519, 1647, 540, 454, 1492, 4055, 585, 3108, 593, 1439, 269, 769, 1249, 267, 835, 7237, 14754, 15576, 773, 6028, 519, 4055, 2676, 1410, 1746, 519, 2777, 267, 543, 3001, 547, 513, 11188, 577, 18711, 1141, 12130, 1695, 2663, 1336, 1200, 269, 2701, 1449, 5809, 454, 7474, 1352, 1185, 1100, 973, 565, 3005, 540, 2479, 6028, 269, 3958, 267, 1282, 519, 4463, 540, 1200, 454, 335, 1601, 11970, 267, 15576, 773, 729, 1336, 8066, 513, 3444, 865, 17401, 538, 1200, 1688, 602, 621, 2759 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3239, 540, 519, 865, 30394, 1676, 267, 8197, 540, 1272, 607, 513, 865, 30394, 333, 630, 338, 680, 754, 573, 569, 13269, 538, 25360, 332, 476, 13199, 264, 568, 513, 8789, 6249, 267, 547, 971, 606, 6708, 267, 538, 1249, 267, 602, 519, 6574, 829, 559, 547, 3909, 21755, 543, 1995, 540, 519, 10143, 2501, 711, 689, 519, 8194, 540, 10795, 12761, 610, 519, 3348, 13895, 1145, 540, 24815, 543, 608, 21402, 269, 13298, 621, 2501, 689, 519, 7301, 2631, 540, 3354, 6508, 689, 834, 327, 3058, 1412, 1551, 1882, 262, 693, 519, 2407, 543, 3803, 4082, 540, 1379, 543, 28735, 910, 812, 781, 11375, 3861, 640, 547, 812, 267, 799, 568, 606, 25710, 4185, 540, 1018, 9194, 568, 5921, 547, 4196, 269, 769, 824, 1913, 267, 606, 19366, 568, 513, 3343, 518, 540, 24176, 267, 4708, 267, 5168, 267, 5126, 543, 15698, 267, 543, 865, 711, 513, 3463, 547, 24455, 610, 3984, 2146, 269, 4634, 1346, 945, 2243, 519, 8978, 640, 540, 519, 13400, 1650, 616, 7142, 547, 11760, 602, 24815, 543, 608, 21402, 3337, 834, 1492, 1016, 3667, 540, 519, 6386, 543, 20116, 540, 519, 12355, 6426, 547, 519, 1448, 540, 1412, 333, 1551, 520, 1670, 262, 31117, 1701, 3502, 1152, 798, 649, 7237, 1169, 2101, 1106, 540, 9194, 538, 519, 13400, 2272, 267, 855, 849, 519, 13400, 1650, 543, 5048, 1131, 581, 2495, 1652, 1510, 9194, 543, 10688, 563, 11997, 267, 519, 8818, 1063, 1480, 10688, 543, 10143, 5301, 538, 519, 13400, 1650, 568, 29267, 626, 752, 762, 543, 8903, 269, 4340, 547, 8614, 16852, 808, 269, 670, 4545, 3796, 267, 606, 3979, 31188, 1014, 689, 23683, 2274, 821, 267, 834, 763, 538, 2169, 878, 762, 3095, 1063, 27540, 3350, 543, 519, 4413, 1470, 1546, 328, 630, 1492, 5692, 540, 2696, 264, 24903, 25495, 519, 8978, 640, 540, 1082, 2621, 269, 898, 568, 849, 9244, 17565, 1738, 540, 519, 13400, 2696, 781, 15982, 9525, 538, 1480, 12602, 1701, 769, 824, 1913, 267, 547, 3409, 602, 519, 2696, 540, 519, 6426, 568, 513, 2696, 540, 5692, 568, 547, 3398, 602, 646, 2306, 5128, 1634, 547, 1480, 7919, 998, 8723, 267, 15520, 31411, 2833, 267, 971, 607, 9194, 269, 769, 1249, 267, 1906, 2833, 616, 811, 2596, 547, 519, 1480, 2783, 982, 9194, 269, 24779, 543, 24815, 1106, 1433, 1742, 630, 1993, 12204, 264, 547, 519, 13400, 2594, 269, 634, 9998, 11271, 2594, 519, 1163, 13955, 540, 14088, 543, 18832, 689, 519, 12567, 540, 3798, 523, 630, 7049, 8412, 476, 274, 281, 2537, 1070, 519, 1289, 540, 14062, 676, 2696, 547, 8977, 689, 1010, 4651, 1633, 547, 606, 7164, 1747, 630, 7049, 8412, 476, 1321, 1070, 519, 9550, 540, 519, 1004, 540, 5840, 676, 2696, 543, 519, 31519, 2680, 910, 519, 3460, 689, 5527, 998, 519, 24301, 547, 519, 8871, 2213, 8092, 630, 2750, 21402, 476, 1428, 281, 2420, 268, 2767, 1040, 5047, 267, 519, 2063, 1433, 540, 519, 6426, 3568, 519, 15999, 5075, 540, 519, 19980, 548, 3627, 267, 945, 568, 608, 6150, 593, 519, 6532, 540, 4793, 21573, 630, 3725, 28156, 476, 272, 281, 280, 1916, 1103, 1249, 267, 585, 930, 31188, 2103, 267, 519, 1433, 540, 19606, 1522, 1134, 723, 1044, 3957, 519, 1433, 540, 834, 332, 580, 5928, 1701, 634, 1163, 13955, 540, 14088, 543, 18832, 689, 519, 12567, 540, 3798, 523, 910, 519, 1101, 6592, 9194, 910, 5036, 538, 5163, 2417, 3702, 1113, 9194, 2621, 5532, 547, 1480, 991, 543, 10143, 2962, 269, 595, 664, 568, 28715, 547, 581, 834, 325, 1872, 1438, 543, 513, 18389, 19907, 593, 519, 3618, 630, 7049, 8412, 476, 275, 281, 1321, 5148, 543, 513, 2101, 8733, 9568, 791, 4680, 21345, 4567, 593, 25424, 267, 2059, 609, 1010, 1920, 543, 1022, 1297, 540, 2713, 7068, 269, 901, 610, 1372, 531, 7475, 609, 519, 10143, 605, 17474, 834, 2041, 4829, 995, 543, 9062, 267, 543, 6445, 519, 3618, 257, 630, 7049, 8412, 476, 280, 281, 272, 1070, 513, 834, 29514, 257, 23626, 602, 3029, 513, 4282, 540, 519, 834, 339, 1077, 540, 645, 8475, 257, 12558, 630, 7049, 8412, 476, 1556, 1040, 634, 8545, 2680, 267, 865, 859, 25607, 540, 10143, 6304, 538, 1686, 267, 8711, 519, 3527, 540, 513, 1808, 1895, 540, 20404, 945, 7017, 538, 20770, 630, 7049, 8412, 476, 1556, 281, 273, 1040, 898, 849, 7677, 8460, 513, 8903, 4612, 894, 5943, 585, 2518, 9194, 281, 834, 5228, 972, 519, 7083, 16559, 873, 13383, 936, 519, 3068, 540, 782, 519, 3618, 630, 7049, 8412, 476, 1556, 281, 280, 1040, 3371, 1932, 649, 7237, 267, 998, 513, 11029, 17720, 6165, 267, 711, 513, 31604, 543, 538, 31261, 25976, 945, 14621, 3425, 607, 513, 3463, 855, 513, 2696, 865, 11506, 543, 608, 531, 1540, 602, 646, 1590, 13956, 547, 6952, 8289, 540, 3646, 602, 267, 689, 513, 1480, 29459, 267, 2099, 513, 533, 4883, 12386, 540, 22920, 563, 13010, 267, 649, 1058, 711, 7340, 602, 519, 2898, 540, 1715, 11620, 568, 2407, 540, 9194, 6386, 267, 4098, 609, 519, 18803, 1650, 540, 519, 4332, 540, 4906, 538, 513, 631, 9734, 693, 21861, 548, 1335, 950, 9478, 543, 6307, 941, 13059, 1753, 585, 519, 17227, 269, 634, 1034, 10565, 9194, 267, 2705, 267, 729, 519, 8184, 547, 5527, 540, 519, 10513, 7731, 267, 9478, 543, 6307, 609, 519, 23862, 4906, 267, 945, 8179, 9675, 538, 5527, 630, 22152, 320, 264, 547, 9101, 519, 26481, 3463, 540, 4173, 617, 267, 3168, 585, 519, 4132, 267, 4330, 607, 513, 9241, 4535, 3751, 676, 519, 1614, 29216, 2494, 689, 519, 5101, 267, 547, 6146, 269, 3131, 5913, 1903, 540, 519, 24347, 956, 543, 2818, 540, 519, 2038, 4168, 2146, 1310, 519, 2680, 540, 519, 19999, 1815, 739, 630, 8002, 338, 476, 273, 1070, 543, 519, 6742, 10455, 3256, 540, 15537, 630, 8002, 338, 476, 278, 1070, 741, 24980, 547, 1585, 2694, 540, 519, 1287, 1634, 1158, 267, 1129, 4705, 513, 1007, 2985, 538, 519, 1272, 543, 5692, 540, 519, 13439, 1417, 4168, 2146, 540, 519, 1715, 11620, 269, 2334, 568, 519, 1101, 5870, 15304, 540, 9194, 543, 5692, 538, 4168, 29966, 3350, 269, 9453, 602, 20655, 543, 3702, 550, 4955, 5928, 540, 519, 24347, 956, 543, 2038, 10271, 267, 8567, 781, 2518, 23793, 1223, 711, 723, 1044, 865, 4101, 543, 3811, 607, 547, 3262, 547, 782, 15174, 540, 519, 1158, 563, 1103, 938, 1378, 942, 267, 2705, 267, 972, 568, 513, 3395, 6284, 540, 519, 1909, 540, 4955, 5928, 538, 4168, 7269, 543, 29966, 2534, 269, 1284, 616, 2943, 547, 4497, 538, 3978, 8086, 827, 519, 1259, 538, 799, 2487, 14759, 1369, 2518, 8567, 3294, 630, 663, 1256, 5771, 607, 1158, 4984, 264, 941, 29211, 676, 2518, 9194, 269, 1306, 1767, 1354, 267, 1063, 476, 5611, 271, 338, 543, 476, 5002, 271, 338, 267, 519, 2518, 9194, 729, 689, 519, 3345, 547, 519, 3162, 269, 2334, 1500, 519, 7013, 17407, 2101, 7740, 540, 29966, 6278, 269, 1809, 538, 2487, 2053, 267, 519, 7678, 814, 17146, 269, 634, 1459, 9194, 689, 519, 3162, 547, 519, 3345, 2798, 547, 519, 4639, 607, 513, 2101, 20281, 540, 3909, 5872, 543, 29966, 6278, 269, 634, 6422, 540, 3486, 4955, 5928, 538, 29966, 13055, 568, 711, 1007, 547, 519, 1686, 540, 4168, 5692, 269, 1306, 649, 723, 3254, 2907, 267, 519, 6426, 12217, 7198, 547, 519, 538, 2169, 878, 762, 4276, 1063, 9194, 543, 5692, 543, 12034, 971, 3095, 720, 607, 513, 7986, 3815, 538, 519, 1686, 540, 4168, 7269, 269, 634, 1249, 602, 713, 4276, 568, 7361, 267, 15763, 538, 2413, 14172, 814, 1945, 547, 798, 609, 519, 7938, 1551, 5896, 21441, 2813, 676, 519, 3345, 4149, 1926, 2520, 641, 29176, 7941, 543, 741, 2413, 6127, 540, 791, 1478, 7321, 540, 519, 2477, 540, 519, 7013, 17407, 267, 2523, 267, 538, 741, 4308, 902, 609, 4000, 563, 1103, 782, 267, 2705, 267, 519, 6426, 11414, 721, 602, 4955, 5928, 1246, 519, 5072, 540, 20778, 1686, 543, 922, 30593, 618, 693, 519, 12912, 942, 269, 9453, 1480, 10688, 267, 972, 786, 581, 1100, 5692, 269, 4658, 1847, 609, 741, 5132, 543, 2528, 269, 1284, 1058, 7703, 538, 2247, 602, 519, 24980, 543, 8691, 540, 519, 14797, 4330, 538, 19606, 3184, 476, 1015, 630, 20197, 4505, 538, 713, 2376, 1070, 568, 3297, 519, 834, 339, 1077, 540, 645, 8475, 257, 2239, 269, 634, 834, 339, 1077, 540, 645, 8475, 257, 19752, 4550, 2173, 12568, 269, 589, 3844, 2832, 538, 519, 2679, 1788, 568, 547, 4104, 718, 2417, 3350, 281, 834, 1278, 3772, 649, 4927, 581, 16559, 13383, 2390, 519, 3068, 540, 519, 2898, 3618, 257, 630, 7049, 8412, 476, 1556, 269, 275, 1040, 634, 645, 8475, 1788, 6763, 538, 11685, 547, 519, 1019, 19166, 545, 22502, 540, 519, 6082, 543, 9082, 538, 513, 1259, 602, 2636, 873, 547, 1995, 519, 2696, 540, 24656, 998, 513, 3818, 13109, 540, 8658, 543, 513, 4763, 540, 2686, 2833, 269, 1306, 519, 24347, 548, 6754, 10294, 5553, 2663, 267, 834, 5228, 835, 22660, 646, 1500, 782, 6082, 547, 9468, 519, 2898, 3618, 267, 543, 646, 28286, 1540, 519, 2053, 540, 741, 6228, 543, 519, 6302, 540, 519, 4025, 1141, 789, 1131, 2661, 630, 328, 4318, 1421, 2686, 1604, 1070, 865, 602, 789, 1131, 3406, 585, 2696, 257, 630, 8002, 338, 476, 1704, 281, 2918, 268, 2767, 1040, 1412, 24292, 4763, 568, 513, 9244, 13400, 2856, 282, 519, 10206, 540, 513, 2582, 2518, 2528, 568, 711, 25692, 1103, 824, 1913, 267, 621, 568, 1369, 519, 1880, 640, 540, 2528, 602, 1480, 2093, 267, 1480, 21184, 267, 543, 1480, 5876, 1265, 741, 2407, 652, 4082, 269, 898, 568, 849, 1369, 519, 1880, 640, 540, 2686, 6228, 602, 2696, 540, 24656, 568, 7000, 543, 11402, 269, 2353, 1480, 4529, 616, 267, 540, 1576, 267, 632, 11526, 676, 1480, 5609, 6888, 543, 616, 538, 991, 540, 25863, 282, 855, 1100, 2528, 610, 2686, 1062, 814, 513, 3152, 4390, 982, 1022, 824, 585, 14123, 6114, 547, 267, 610, 1995, 540, 267, 519, 10143, 269, 3245, 513, 4168, 5133, 267, 621, 568, 711, 2556, 547, 10205, 835, 781, 2528, 630, 528, 6467, 2686, 5389, 264, 538, 1931, 547, 1995, 20778, 998, 4906, 2441, 269, 2696, 814, 1100, 5172, 2528, 256, 1306, 519, 22445, 2549, 657, 18056, 519, 1004, 540, 5840, 267, 834, 16269, 941, 1100, 632, 13145, 547, 2696, 982, 519, 20338, 257, 630, 8649, 657, 476, 280, 281, 278, 1040, 1924, 7533, 568, 2686, 23506, 547, 2696, 781, 1544, 540, 8471, 20778, 602, 621, 679, 706, 637, 2394, 519, 1439, 540, 519, 6502, 950, 834, 320, 1390, 21318, 2560, 267, 689, 1169, 4182, 267, 689, 782, 11031, 543, 9082, 543, 4654, 267, 1496, 1056, 316, 1354, 519, 17599, 543, 1354, 519, 30340, 257, 630, 3725, 28156, 476, 278, 281, 280, 1916, 289, 8475, 267, 538, 9759, 630, 3697, 2679, 6821, 1996, 11082, 689, 4000, 610, 11992, 1070, 568, 513, 14165, 585, 2686, 2612, 565, 583, 1143, 269, 898, 6763, 585, 1395, 18070, 1480, 1514, 3785, 602, 28511, 513, 13737, 1995, 543, 3801, 547, 20818, 519, 2012, 543, 1893, 630, 528, 2528, 264, 540, 835, 1895, 593, 782, 1866, 269, 898, 28837, 519, 16712, 4998, 281, 31561, 520, 787, 540, 1480, 9740, 9497, 2280, 721, 1628, 19823, 519, 1391, 585, 1379, 267, 585, 23629, 1275, 9497, 320, 2012, 19823, 543, 30566, 545, 13120, 540, 835, 2686, 1895, 9497, 821, 1893, 8442, 693, 519, 13258, 540, 30255, 267, 524, 659, 2684, 4577, 267, 2686, 4763, 563, 13010, 267, 519, 834, 339, 1077, 540, 645, 8475, 257, 17083, 267, 834, 2280, 721, 1628, 2560, 513, 13486, 9497, 320, 3774, 8442, 609, 922, 1283, 547, 519, 30723, 267, 543, 1577, 721, 1118, 513, 2012, 585, 6000, 257, 630, 7049, 8412, 476, 1556, 281, 1691, 1070, 849, 4564, 519, 25710, 4185, 540, 5692, 543, 25863, 269, 634, 13400, 1523, 540, 834, 3939, 257, 910, 799, 10416, 267, 18575, 3527, 543, 2621, 630, 2254, 2141, 1582, 17272, 1211, 264, 1644, 547, 2696, 781, 1544, 540, 20778, 910, 10522, 3350, 267, 11488, 267, 10465, 15385, 267, 543, 8144, 269, 898, 24865, 538, 10143, 11036, 281, 519, 6411, 540, 1582, 16162, 26918, 267, 1582, 3146, 28156, 267, 543, 6038, 519, 1582, 268, 3319, 3539, 540, 519, 1651, 28271, 17929, 2696, 568, 1500, 8915, 543, 11402, 1369, 1808, 2686, 8658, 269, 769, 810, 30138, 607, 621, 3322, 1480, 8116, 267, 5692, 23366, 3340, 3444, 14426, 3350, 267, 610, 519, 15385, 540, 6302, 267, 538, 799, 519, 3119, 1995, 568, 540, 13438, 543, 1981, 267, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 3655, 9809, 1228, 267, 2921, 7140, 15738, 856, 1585, 11193, 267, 25724, 267, 543, 18842, 27494, 2934, 269, 1306, 649, 22283, 3330, 267, 649, 941, 30870, 676, 18198, 23906, 1723, 525, 267, 18810, 267, 543, 19821, 923, 269, 7324, 873, 267, 18466, 32109, 781, 623, 2884, 14504, 5612, 9575, 938, 4064, 9789, 32668, 5898, 540, 6307, 524, 2784, 1782, 4906, 1310, 1010, 16961, 32267, 542, 729, 5963, 3001, 780, 5978, 15131, 6603, 1007, 15627, 950, 649, 14059, 12672, 7236, 781, 25930, 778, 514, 267, 519, 10875, 19730, 24588, 1657, 853, 269, 8834, 781, 1164, 26749, 269, 717, 5074, 20733, 267, 3843, 547, 1491, 538, 1169, 10759, 540, 713, 15999, 960, 267, 1945, 15116, 5949, 269, 4934, 540, 24076, 267, 25190, 976, 3459, 2220, 334, 14563, 1524, 689, 519, 24958, 3821, 781, 7372, 26434, 267, 2220, 26325, 1472, 519, 24052, 778, 514, 607, 952, 789, 1932, 15874, 741, 8284, 7376, 781, 5137, 269, 12875, 1235, 7404, 3154, 6244, 1247, 1866, 627, 5792, 856, 741, 12514, 267, 13830, 1018, 8604, 899, 513, 30642, 6429, 2786, 856, 540, 513, 7260, 780, 306, 19488, 267, 9624, 713, 26624, 4715, 12386, 267, 8861, 562, 644, 3022, 803, 31113, 269, 834, 16100, 256, 3683, 972, 10590, 1352, 26866, 1229, 267, 9694, 1005, 2509, 513, 1447, 22125, 7944, 2282, 519, 13675, 269, 1677, 938, 9983, 630, 663, 31768, 1070, 649, 19481, 1776, 13395, 1895, 540, 8436, 945, 14201, 1405, 8098, 3931, 519, 6189, 610, 11247, 910, 3079, 267, 789, 941, 4625, 1266, 1484, 539, 538, 11287, 1862, 335, 15607, 976, 256, 1358, 13006, 1142, 6177, 781, 2623, 23939, 267, 9236, 4967, 827, 1114, 2249, 543, 28849, 1459, 538, 28912, 4975, 269, 1452, 11570, 20705, 547, 513, 535, 16206, 2228, 2146, 6131, 7357, 547, 4683, 6177, 342, 10248, 1107, 513, 2484, 3956, 689, 938, 1378, 18697, 267, 855, 4241, 20866, 780, 2171, 6170, 519, 1964, 540, 938, 942, 693, 853, 269, 22642, 28617, 543, 1565, 7258, 891, 25981, 6177, 342, 520, 7129, 267, 11543, 4030, 711, 1152, 827, 905, 9312, 2828, 855, 849, 16734, 875, 3309, 543, 23429, 1004, 781, 18653, 1223, 581, 269, 901, 1995, 6039, 607, 513, 12576, 602, 1256, 1369, 9583, 19618, 2950, 899, 12206, 610, 17631, 267, 1367, 28031, 802, 543, 2189, 5380, 1711, 3255, 585, 4276, 543, 2208, 269, 4595, 1287, 267, 8164, 594, 1265, 8885, 3695, 3140, 21056, 267, 594, 1118, 2386, 547, 1832, 606, 3750, 1930, 585, 6397, 13341, 602, 1522, 1175, 22962, 1250, 20030, 3564, 1018, 594, 7620, 8179, 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, 4766, 519, 11265, 2511, 543, 2686, 4644, 540, 853, 269, 8834, 781, 29092, 3821, 888, 1805, 269, 8834, 779, 29092, 3821, 568, 513, 20100, 540, 11193, 6189, 267, 609, 513, 3575, 540, 25724, 543, 18842, 27494, 2609, 269, 898, 568, 4922, 2808, 547, 581, 835, 540, 519, 6574, 543, 1034, 4190, 5656, 538, 519, 1158, 269, 634, 2679, 729, 2966, 676, 930, 540, 519, 1034, 12021, 16413, 540, 519, 942, 267, 1519, 18466, 32109, 267, 645, 1090, 14397, 267, 543, 12672, 7236, 780, 763, 2686, 4644, 540, 853, 269, 8834, 779, 29092, 3821, 568, 10373, 269, 898, 568, 519, 1034, 1271, 3909, 2679, 538, 519, 7826, 5132, 543, 568, 2808, 519, 4099, 540, 519, 7826, 1158, 269, 634, 29092, 3821, 568, 1753, 547, 519, 19772, 540, 853, 269, 8834, 267, 519, 1101, 28831, 267, 543, 568, 849, 519, 3135, 540, 1082, 1271, 3909, 18428, 267, 1519, 519, 9550, 540, 1007, 1402, 525, 269, 3509, 1271, 4773, 540, 1148, 616, 24428, 1369, 519, 29092, 3821, 267, 1519, 18466, 32109, 779, 623, 2884, 320, 543, 12672, 7236, 779, 25930, 778, 514, 780, 1805, 269, 8834, 779, 29092, 3821, 568, 849, 1713, 538, 2474, 540, 922, 1909, 538, 519, 1646, 540, 6189, 269, 634, 2679, 779, 2036, 514, 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, 8080, 547, 938, 3408, 540, 28763, 4472, 2065, 13513, 538, 3332, 256, 5620, 596, 2479, 4862, 540, 28763, 4472, 1695, 286, 898, 781, 513, 25386, 2245, 1369, 17194, 602, 11394, 547, 1174, 519, 2470, 540, 2696, 543, 519, 7122, 998, 6698, 543, 6456, 10096, 269, 4653, 267, 649, 786, 3605, 875, 930, 5830, 946, 891, 12357, 6698, 547, 1039, 3178, 543, 2495, 547, 741, 2984, 780, 4131, 781, 1376, 609, 513, 2241, 1383, 689, 513, 2442, 18912, 9661, 1107, 634, 654, 19123, 540, 23520, 269, 1411, 1522, 723, 2938, 519, 7260, 610, 1224, 519, 1433, 267, 855, 1705, 596, 917, 602, 621, 814, 4296, 547, 28763, 4472, 1695, 286, 1280, 3236, 267, 16910, 18333, 781, 3460, 666, 581, 3379, 547, 519, 2185, 5933, 540, 10841, 3290, 538, 28763, 4472, 1695, 1572, 519, 9050, 2622, 338, 269, 1452, 10600, 2099, 1114, 2157, 540, 5289, 4656, 269, 3807, 899, 16910, 18333, 10707, 998, 1585, 3338, 267, 1142, 835, 24928, 982, 519, 3105, 267, 1352, 16137, 3407, 4245, 2059, 1200, 2619, 269, 1635, 519, 1439, 267, 1352, 30877, 972, 781, 1100, 1747, 899, 1753, 910, 10771, 519, 2956, 540, 1582, 22523, 543, 6418, 4708, 780, 3086, 1577, 781, 4685, 883, 519, 1650, 540, 10348, 6480, 615, 689, 519, 12355, 6426, 269, 901, 1650, 6273, 606, 22968, 2854, 676, 21917, 18018, 334, 1284, 529, 326, 718, 269, 4014, 649, 4465, 1405, 6432, 547, 519, 3003, 22968, 1934, 630, 527, 781, 3833, 1279, 1070, 594, 1616, 547, 2671, 1945, 4241, 827, 922, 4276, 547, 28763, 4472, 1695, 269, 2290, 540, 519, 3844, 4798, 538, 28763, 4472, 1695, 568, 1769, 267, 8204, 7326, 543, 10143, 1648, 269, 21452, 2614, 267, 3751, 13259, 553, 21838, 639, 25001, 513, 20662, 880, 5428, 4904, 609, 8279, 1354, 646, 23297, 6480, 615, 607, 1010, 15596, 269, 12344, 713, 4159, 540, 26149, 22509, 17495, 3298, 6480, 615, 781, 2104, 1909, 538, 9494, 1200, 1004, 689, 9552, 780, 5194, 1271, 1523, 538, 28763, 4472, 1695, 568, 9322, 267, 2523, 519, 9769, 1063, 5256, 543, 4775, 19367, 1634, 607, 834, 4820, 345, 18860, 574, 1701, 769, 519, 1650, 540, 6480, 615, 267, 5469, 875, 2178, 543, 8797, 1352, 568, 950, 7555, 909, 1996, 9409, 8621, 534, 269, 2701, 24151, 21522, 1379, 1247, 2324, 7258, 631, 867, 1815, 2967, 267, 945, 4564, 24940, 4222, 269, 8625, 789, 4688, 741, 2146, 689, 2800, 269, 4256, 5916, 3646, 5031, 519, 2856, 540, 10103, 543, 3666, 1336, 538, 28763, 4472, 2065, 10752, 780, 1103, 3932, 267, 3695, 5339, 1568, 1210, 28763, 4472, 2065, 13513, 2636, 721, 547, 10625, 4514, 6106, 540, 2495, 3297, 5432, 8941, 269, 3245, 1620, 519, 4644, 540, 1769, 538, 634, 654, 19123, 540, 23520, 547, 7487, 9322, 6719, 538, 519, 1650, 540, 6480, 615, 267, 891, 3504, 6014, 2035, 948, 10802, 938, 7071, 585, 3332, 269, 1924, 1985, 942, 596, 1224, 513, 1433, 610, 4585, 513, 7260, 267, 2015, 2436, 1022, 6698, 610, 6456, 6835, 616, 7996, 547, 581, 4362, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15307, 615, 267, 18018, 334, 1284, 529, 326, 718, 779, 20870, 267, 2063, 267, 543, 6264, 652, 22968, 267, 609, 513, 5391, 4958, 1729, 676, 8176, 918, 1180, 2131, 267, 568, 1759, 593, 519, 13400, 3883, 540, 6480, 615, 269, 769, 1082, 24947, 621, 729, 1284, 529, 326, 718, 779, 7715, 940, 9740, 1312, 7376, 1227, 543, 538, 2474, 540, 1857, 543, 2565, 6284, 269, 898, 729, 20827, 8385, 676, 6833, 5270, 5062, 292, 30591, 543, 519, 5842, 12770, 28709, 538, 519, 4571, 476, 2735, 271, 338, 267, 543, 21339, 585, 513, 6566, 328, 699, 3459, 609, 14969, 14440, 11925, 267, 513, 2101, 11812, 540, 519, 23318, 267, 543, 513, 2046, 2680, 269, 1809, 20769, 25206, 32617, 14873, 267, 945, 3576, 936, 519, 12081, 338, 540, 519, 2754, 689, 5062, 292, 30591, 1354, 2417, 21339, 585, 6480, 615, 941, 8045, 267, 666, 576, 1194, 519, 1788, 538, 476, 1960, 271, 267, 19696, 4049, 6578, 776, 2042, 1765, 18034, 538, 2070, 540, 519, 1164, 1942, 540, 20387, 865, 1804, 8397, 513, 960, 267, 799, 1185, 22221, 2101, 5107, 267, 1079, 32711, 4926, 8506, 8101, 31667, 531, 540, 741, 25412, 543, 4101, 2575, 267, 543, 29478, 269, 1306, 1134, 267, 513, 2504, 602, 1131, 798, 5126, 547, 713, 22968, 2838, 7199, 3942, 6272, 543, 5036, 269, 1284, 529, 326, 718, 729, 10969, 730, 267, 513, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 298, 629, 4472, 2065, 29526, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 6014, 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, 476, 275, 269, 274, 22893, 1222, 607, 6355, 26844, 692, 7072, 692, 1103, 713, 3296, 267, 649, 786, 2263, 519, 2856, 540, 15114, 998, 519, 7828, 540, 1870, 12352, 269, 2311, 1101, 16145, 267, 621, 949, 3100, 8966, 547, 1921, 891, 1079, 2035, 282, 2705, 267, 2390, 6251, 6514, 267, 835, 666, 1294, 875, 7533, 4213, 616, 547, 5935, 938, 1620, 540, 15114, 543, 10362, 1369, 513, 2146, 610, 4182, 269, 901, 4276, 3587, 1256, 811, 7805, 950, 6236, 14078, 685, 1713, 3310, 936, 2797, 3157, 543, 3609, 3664, 269, 1635, 6313, 519, 2078, 1063, 15114, 543, 1870, 12352, 267, 649, 2744, 3407, 4030, 883, 875, 9746, 9988, 1764, 2486, 267, 741, 9021, 2509, 1585, 8639, 267, 543, 875, 789, 3565, 547, 2870, 606, 8537, 1604, 1141, 782, 2818, 1745, 12595, 543, 4862, 780, 290, 527, 714, 839, 1222, 543, 23654, 4317, 26930, 630, 5425, 305, 2020, 290, 2734, 725, 723, 12926, 1044, 9763, 607, 7443, 12454, 3906, 5059, 9003, 593, 21924, 2671, 14516, 1871, 269, 1717, 267, 972, 814, 1044, 2810, 2604, 689, 6800, 267, 5520, 267, 9520, 267, 543, 6608, 585, 3549, 547, 9772, 13998, 3743, 2853, 269, 1452, 6788, 723, 3366, 547, 519, 11944, 540, 23654, 4317, 26930, 630, 5425, 305, 1070, 799, 4016, 547, 968, 1492, 5683, 13800, 540, 14078, 547, 3565, 9797, 547, 2486, 892, 630, 10111, 2651, 1299, 1744, 629, 3570, 267, 476, 1001, 271, 1040, 11483, 305, 7341, 1419, 1445, 593, 2825, 6940, 267, 1480, 2924, 267, 4074, 4441, 267, 24960, 344, 267, 543, 15321, 1143, 269, 3414, 971, 3646, 267, 4213, 6542, 741, 7029, 547, 1373, 1434, 9746, 4961, 676, 13326, 2883, 1967, 609, 1514, 5539, 780, 13146, 1382, 8711, 1312, 519, 1761, 2640, 543, 2591, 2404, 609, 7598, 11483, 305, 2994, 269, 2201, 519, 835, 1688, 267, 2090, 1397, 602, 1134, 7721, 1815, 3176, 11483, 305, 3292, 3986, 6216, 10639, 267, 2333, 6075, 14017, 267, 4482, 13007, 267, 6536, 5647, 267, 543, 6038, 1291, 547, 4824, 2883, 2773, 630, 7775, 331, 6308, 5652, 1696, 620, 1421, 476, 1220, 274, 1040, 17957, 267, 930, 5640, 8044, 602, 11483, 305, 1223, 4196, 607, 513, 1106, 540, 3039, 31290, 1107, 21603, 3527, 3144, 1152, 547, 2087, 1857, 3239, 1510, 6086, 633, 1689, 630, 22013, 5733, 1299, 8738, 3316, 334, 267, 476, 1001, 272, 1040, 5047, 267, 13253, 8451, 950, 12394, 547, 31363, 12721, 4690, 1851, 1114, 8639, 267, 1519, 23265, 267, 5561, 267, 5520, 267, 14273, 267, 2199, 2950, 267, 543, 2229, 22124, 269, 19484, 891, 10848, 3340, 6297, 7156, 540, 1142, 1895, 779, 2115, 543, 14422, 1247, 20678, 547, 5447, 873, 609, 6626, 6848, 2418, 780, 19111, 5530, 281, 4793, 6782, 807, 781, 2920, 22999, 16373, 15613, 692, 15031, 6782, 807, 267, 606, 9205, 7802, 2754, 8547, 538, 476, 3192, 274, 267, 2488, 606, 5140, 2013, 1353, 20515, 875, 4213, 666, 6451, 17933 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 9259, 267, 585, 803, 267, 568, 9125, 531, 8290, 563, 5278, 540, 891, 8290, 616, 7123, 543, 3742, 538, 476, 4817, 4113, 595, 1216, 563, 1607, 9125, 531, 3644, 568, 8032, 899, 513, 9174, 11480, 563, 1607, 835, 568, 8032, 899, 513, 11993, 563, 1607, 835, 5526, 547, 723, 7960, 10446, 543, 8843, 1100, 6090, 609, 824, 8290, 563, 1607, 835, 13976, 5722, 21758, 26829, 593, 519, 7252, 540, 2281, 621, 3468, 338, 563, 4322, 616, 2731, 9670, 547, 803, 1317, 594, 917, 513, 2370, 3787, 827, 8290, 269, 1403, 596, 917, 1985, 547, 4986, 827, 8290, 267, 513, 11993, 11057, 3644, 4440, 3884, 1406, 602, 2247, 1532, 27172, 269, 19204, 616, 12106, 11057, 267, 1318, 286, 589, 11993, 3337, 3884, 1406, 602, 2484, 689, 513, 12106, 3337, 269, 634, 24819, 5624, 1222, 11057, 570, 275, 568, 811, 2693, 547, 9514, 707, 2247, 563, 20118, 267, 952, 596, 941, 513, 4541, 3620, 25891, 2230, 9813, 1101, 9683, 3618, 267, 543, 707, 9813, 14609, 344, 5143, 596, 827, 519, 9649, 20203, 1532, 698, 8032, 21297, 8127, 267, 602, 4440, 9327, 1406, 581, 2247, 1532, 27172, 1107, 585, 782, 596, 917, 267, 3388, 593, 3618, 5654, 899, 602, 269, 2353, 1344, 538, 602, 7121, 568, 1007, 547, 596, 267, 543, 596, 1810, 1406, 723, 2614, 2796, 585, 621, 547, 3100, 20868, 2943, 563, 4263, 519, 1482, 942, 267, 952, 594, 6594, 9125, 531, 8290, 7920, 569, 267, 594, 8910, 4440, 1205, 513, 2631, 540, 519, 4763, 538, 519, 2361, 269, 2368, 9490, 8631, 899, 519, 5722, 21758, 26829, 1131, 1869, 2097, 2059, 607, 621, 779, 4362, 267, 855, 1034, 1007, 1344, 1131, 3514, 883, 1250, 3631, 563, 1607, 5267, 602, 585, 1978, 4610, 267, 972, 779, 2469, 547, 581, 930, 2179, 540, 23440, 1141, 594, 6557, 14281, 676, 782, 12204, 540, 1919, 267, 855, 593, 519, 2766, 7475, 267, 594, 2901, 1810, 1406, 917, 2614, 547, 581, 14281, 1107, 610, 2907, 917, 3388, 602, 1522, 9983, 803, 269, 769, 519, 1647, 267, 594, 723, 1175, 2614, 540, 513, 4704, 1362, 602, 621, 4749, 4991, 7745, 1107, 543, 594, 1439, 909, 25759, 602, 3388, 568, 20868, 563, 15371, 8290, 616, 9800, 610, 711, 568, 513, 25064, 2243, 269, 3371, 779, 1946, 563, 263, 296, 1118, 513, 19625, 540, 1808, 6811, 1934, 602, 594, 2503, 616, 711, 24080, 8815, 2390, 269, 769, 519, 6891, 540, 11090, 3101, 6811, 543, 849, 607, 513, 570, 299, 282, 11403, 267, 594, 3580, 1592, 873, 8094, 15371, 1919, 616, 9800, 610, 711, 568, 513, 11008, 1436, 3390, 563, 763, 7355, 602, 2713, 7103, 1058, 581, 1500, 540, 2281, 568, 513, 3983, 835, 267, 1256, 27195, 8290, 563, 5278, 8290, 1184, 1648, 563, 288, 3644, 4805, 949, 711, 1184, 1648, 267, 855, 513, 3644, 29795, 539, 1591, 1281, 267, 543, 10742, 782, 7355, 585, 1272, 563, 309, 21905, 616, 711, 606, 6316, 2013, 538, 7350, 267, 789, 2461, 3844, 547, 621, 563, 763, 1699, 7355, 585, 1272, 3100, 547, 581, 4481, 1305, 909, 547, 23868, 8290, 563, 1432, 1281, 621, 1611, 547, 581, 9800, 888, 15371, 8290, 616, 9800, 568, 513, 23066, 3390, 269, 898, 3884, 1406, 513, 2243, 827, 4641, 267, 538, 519, 1482, 1259, 602, 968, 6011, 1082, 8290, 616, 972, 9495, 610, 968, 4777, 8290, 723, 10717, 9495, 616, 2055, 827, 4641, 269, 898, 779, 513, 4214, 531, 2243, 267, 543, 2436, 789, 2887, 538, 519, 8513, 540, 968, 531, 633, 892, 610, 711, 5673, 593, 1141, 596, 2721, 519, 10665, 563, 293, 6136, 267, 3744, 17895, 8271, 946, 513, 3044, 1305, 540, 10665, 269, 901, 568, 711, 4010, 1305, 538, 6149, 267, 855, 621, 779, 606, 856, 3553, 269, 769, 25644, 7350, 538, 2852, 267, 594, 4121, 519, 1739, 476, 278, 4162, 630, 1877, 267, 23652, 689, 9504, 12684, 912, 12709, 23980, 281, 7939, 540, 519, 4835, 1604, 547, 2226, 513, 3586, 1533, 282, 585, 1383, 267, 24852, 547, 2569, 2837, 454, 16391, 1436, 281, 1373, 1785, 12147, 7768, 540, 835, 610, 811, 2281, 2443, 519, 2596, 4559, 540, 1272, 454, 18404, 29440, 281, 7004, 540, 1648, 676, 14291, 6464, 543, 1648, 883, 10408, 3334, 630, 534, 29440, 264, 543, 10920, 19397, 5214, 2339, 630, 13906, 29440, 1040, 12389, 1919, 2154, 1648, 547, 2226, 4835, 3919, 630, 24610, 23980, 264, 543, 547, 3132, 519, 824, 9259, 2404, 609, 1272, 563, 294, 9512, 281, 5826, 540, 513, 2362, 2557, 540, 606, 29440, 982, 3032, 29440, 269, 589, 3395, 11248, 4679, 538, 2450, 538, 782, 540, 922, 2694, 267, 2864, 982, 3274, 7213, 6819, 2339, 563, 3849, 2194, 566, 281, 519, 2702, 547, 1689, 936, 942, 538, 3210, 547, 519, 1604, 269, 901, 2702, 568, 4909, 547, 519, 1184, 540, 4720, 543, 568, 5462, 676, 519, 11248, 779, 19021, 640, 267, 2732, 267, 543, 5007, 2188, 563, 25215, 2945, 547, 15128, 281, 513, 3210, 666, 1491, 1082, 3029, 267, 689, 519, 19432, 540, 513, 27033, 32698, 11248, 547, 5007, 6464, 267, 547, 1950, 6547, 5473, 782, 519, 12823, 540, 24352, 32698, 7103, 269, 589, 3210, 568, 1419, 6829, 676, 5163, 282, 585, 1383, 267, 519, 3762, 540, 513, 2030, 7432, 4724, 519, 3141, 630, 31688, 582, 1886, 1143, 1070, 543, 2447, 582, 9471, 563, 11847, 3174, 281, 519, 2702, 547, 3132, 1007, 1367, 7103, 267, 2901, 513, 16303, 1302, 689, 513, 2582, 2385, 11248, 610, 16770, 689, 1079, 2385, 7103, 563, 763, 2241, 2626, 454, 309, 21905, 2743, 782, 540, 519, 7355, 585, 2713, 1919, 267, 4849, 476, 273, 264, 543, 6148, 476, 274, 1916, 763, 7294, 2626, 454, 2690, 519, 7294, 2626, 267, 1577, 779, 979, 513, 1377, 4514, 563, 8245, 2952, 2322, 267, 21205, 476, 273, 264, 2829, 602, 2713, 1919, 1590, 581, 1500, 540, 2281, 563, 290, 761, 19118, 476, 274, 264, 2829, 602, 2713, 1919, 1590, 8311, 1125, 3114, 1648, 538, 1931, 547, 1379, 741, 3157, 563, 6701, 8290, 1500, 540, 2281, 888, 302, 10798, 267, 1934, 779, 1018, 594, 4076, 3893, 269, 594, 1589, 476, 273, 264, 568, 513, 3983, 21205, 269, 594, 1589, 602, 7355, 585, 2713, 1919, 1058, 711, 581, 11658, 547, 3618, 2608, 267, 543, 4061, 711, 11658, 547, 938, 29981, 1686, 269, 19204, 616, 513, 2442, 2497, 593, 3618, 267, 855, 952, 649, 979, 547, 2230, 543, 1265, 1804, 7874, 30659, 602, 616, 1500, 540, 5946, 267, 16196, 267, 11457, 267, 543, 723, 4654, 267, 649, 2461, 711, 1175, 2469, 547, 1289, 873, 968, 12061, 2000, 1516, 892, 1317, 789, 2196, 593, 1945, 824, 982, 2281, 269, 4634, 952, 602, 4214, 568, 3730, 909, 2394, 602, 1448, 267, 649, 8910, 1689, 621, 1310, 649, 1336, 1346, 30659, 267, 11021, 602, 621, 7012, 1406, 513, 1434, 21205, 538, 519, 1101, 1747, 2901, 563, 18154, 746, 1804, 30659, 711, 581, 1500, 856, 540, 2281, 286, 5262, 2159, 547, 2161, 1107, 24352, 32698, 640, 814, 1044, 513, 2731, 267, 2731, 2442, 4640, 1934, 593, 3618, 267, 2348, 7960, 4780, 326, 1836, 693, 2547, 476, 1839, 2053, 269, 1809, 2281, 607, 649, 917, 873, 1152, 7960, 2899, 610, 7466, 269, 4746, 267, 621, 779, 711, 2312, 547, 1018, 4110, 4780, 7217, 4720, 10039, 547, 1919, 3544, 540, 938, 1880, 12105, 1686, 267, 1317, 562, 284, 272, 8094, 3383, 1100, 267, 8290, 1810, 1406, 2743, 21205, 476, 273, 1070, 4352, 519, 2956, 540, 21205, 476, 273, 264, 568, 3181, 23534, 563, 2710, 8290, 1184, 1648, 888, 1432, 827, 21205, 476, 274, 21663, 1684, 8290, 1184, 1648, 286, 9877, 540, 563, 4131, 779, 10002, 871, 968, 30112, 1648, 1848, 20593, 1154, 835, 2186, 540, 3114, 1648, 547, 1776, 568, 7168, 13598, 269, 769, 4551, 543, 24087, 4925, 267, 1018, 1281, 602, 1413, 899, 888, 7883, 6619, 269, 2037, 26171, 621, 269, 6733, 1472, 269, 2552, 6374, 622, 2469, 883, 1979, 17190, 269, 3371, 779, 1141, 621, 6238, 547, 1205, 7294, 563, 3080, 540, 519, 2101, 1648, 2959, 538, 2281, 568, 14291, 20722, 27343, 2468, 874, 24043, 630, 2969, 303, 264, 883, 20722, 27343, 546, 13023, 24043, 630, 4696, 303, 1040, 901, 7004, 7060, 865, 1454, 10408, 3157, 538, 782, 1114, 7103, 602, 621, 779, 1572, 519, 9304, 540, 1272, 563, 289, 1461, 328, 21301, 570, 275, 1958, 3941, 606, 21085, 20681, 4696, 303, 14617, 5179, 269, 898, 779, 1031, 1282, 519, 3644, 685, 12093, 267, 547, 10189, 5027, 3330, 13439, 1417, 3644, 9843, 563, 5278, 8290, 540, 7286, 19826, 27627, 31391, 1585, 2694, 540, 519, 6475, 3560, 5832, 267, 519, 3126, 540, 16546, 602, 6802, 22571, 2066, 17011, 543, 1711, 513, 13506, 602, 2164, 538, 519, 10282, 540, 21085, 269, 1358, 31391, 891, 607, 513, 4990, 540, 6454, 593, 519, 3283, 2907, 1459, 538, 519, 14747, 563, 2710, 1346, 8290, 1184, 3114, 1648, 286, 8786, 269, 1403, 596, 2461, 711, 18617, 267, 2307, 3054, 281, 1772, 972, 930, 824, 13374, 596, 8910, 991, 547, 1294, 1354, 596, 2015, 513, 3644, 547, 31391, 513, 10307, 286, 1403, 865, 267, 616, 596, 11613, 1978, 602, 649, 786, 2760, 1265, 971, 513, 3644, 286, 594, 1810, 1406, 1589, 594, 1131, 581, 563, 310, 7159, 267, 596, 949, 2161, 269, 17610, 267, 519, 8290, 31391, 1346, 543, 798, 1346, 950, 3468, 532, 513, 3984, 269, 1809, 519, 8290, 2933, 1810, 1406, 798, 873, 563, 2414, 799, 594, 1131, 4431, 281, 589, 23633, 9190, 838, 648, 568, 267, 10416, 267, 8311, 1227, 16931, 269, 1403, 621, 9566, 956, 883, 513, 3636, 267, 8770, 11656, 3984, 267, 621, 32395, 883, 1272, 269, 3776, 1620, 540, 2713, 1919, 2882, 513, 2603, 540, 6488, 766, 585, 588, 12118, 563, 3528, 519, 1482, 18351, 267, 513, 3644, 568, 513, 838, 648, 538, 588, 12118, 269, 589, 3644, 29795, 539, 1591, 10742, 782, 519, 7355, 540, 1272, 563, 263, 296, 1589, 594, 4862, 713, 2856, 689, 14811, 25669, 4563, 779, 2911, 693, 519, 476, 1001, 276, 17451, 13582, 645, 1461, 328, 21301, 5870, 267, 855, 594, 1522, 581, 3765, 8145, 1897, 532, 269, 634, 3744, 972, 8604, 1360, 593, 1532, 13635, 609, 519, 2856, 267, 543, 789, 6157, 723, 1776, 24539, 547, 3409, 602, 741, 5396, 616, 9800, 267, 799, 568, 602, 4974, 2713, 1919, 4992, 16830, 982, 4974, 1875, 2000, 1516, 1919, 1107, 855, 594, 1589, 519, 1448, 568, 1869, 3280, 8094, 2710, 649, 2731, 1616, 1152, 930, 8290, 1293, 607, 9800, 888, 2414, 17412, 267, 2281, 7783, 676, 570, 275, 610, 930, 7286, 19826, 2684, 1137, 1107, 543, 4440, 824, 8290, 1107, 10742, 782, 540, 519, 7355, 540, 1272, 563, 2005, 4667, 28457, 748, 547, 1331, 1152, 1346, 8290, 538, 519, 6389, 540, 2048, 5158, 8730, 543, 711, 1866, 602, 1810, 1406, 1331, 1346, 3114, 3157, 269, 5164, 4926, 723, 18105, 4094, 344, 269, 9484, 541, 908, 1055, 930, 8290, 602, 616, 9800, 543, 930, 602, 5749, 1406, 568, 18309, 8371, 1055, 540, 519, 519, 12105, 3529, 269, 1284, 1616, 513, 7121, 540, 1272, 602, 1286, 1407, 2470, 693, 922, 10549, 267, 543, 16116, 1152, 930, 8290, 1281, 519, 6587, 540, 602, 563, 310, 7159, 267, 621, 4991, 811, 7294, 269, 2368, 3173, 723, 6069, 9649, 8290, 607, 513, 8772, 6389, 540, 1272, 630, 531, 784, 2515, 519, 3044, 605, 28648, 4925, 267, 24087, 4925, 267, 543, 9125, 320, 4700, 1411, 3580, 4063, 602, 621, 779, 9649, 8290, 267, 543, 711, 782, 519, 8290, 269, 2334, 779, 1317, 8290, 4440, 5749, 1406, 1395, 4451, 2280, 545, 269, 15214, 750, 332, 30858, 524, 1066, 1105, 2801, 320, 943, 1137, 267, 538, 1840, 547, 1373, 513, 1390, 2012, 585, 707, 4816, 267, 2671, 12777, 1100, 6090, 609, 1022, 824, 3644, 269, 2368, 824, 8290, 723, 1152, 5393, 11397, 4719, 10486, 547, 1866, 267, 799, 949, 723, 1044, 2220, 11474, 538, 676, 8009, 1282, 2250, 5563, 269, 901, 568, 711, 1768, 1026, 569, 9670, 1107, 649, 917, 602, 15495, 723, 4780, 326, 1836, 7960, 5310, 5215, 540, 2053, 269, 1809, 621, 6157, 635, 27289, 519, 3390, 540, 1141, 547, 2322, 8290, 538, 519, 3529, 563, 309, 21905, 616, 711, 1175, 606, 6316, 2013, 454, 2691, 1004, 2911, 827, 519, 7355, 540, 1272, 267, 789, 4043, 547, 2015, 8290, 607, 606, 6316, 2013, 267, 513, 20868, 7979, 1512, 269, 901, 568, 22801, 563, 13328, 4204, 267, 8290, 856, 15893, 2281, 476, 1015, 2053, 936, 269, 1358, 2461, 711, 606, 6316, 2013, 538, 7350, 1107, 676, 1297, 540, 2043, 267, 610, 2179, 540, 5571, 4720, 267, 789, 2461, 1034, 540, 7350, 269, 1656, 621, 779, 2864, 19035, 602, 519, 3044, 7355, 585, 1272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 646, 1767, 269, 968, 2171, 4503, 2828, 267, 30256, 543, 14077, 269, 3776, 931, 2615, 1190, 1145, 729, 7142, 2390, 721, 3034, 5472, 938, 2984, 11341, 547, 519, 6855, 543, 519, 10074, 666, 581, 1336, 593, 938, 11452, 13398, 269, 1411, 666, 849, 6432, 547, 634, 808, 629, 267, 938, 15264, 593, 519, 5198, 1063, 24409, 543, 5563, 267, 543, 1265, 3950, 619, 6029, 519, 2518, 5066, 13050, 540, 10074, 267, 4430, 7972, 676, 2197, 543, 519, 3644, 779, 3262, 2066, 2342, 543, 3013, 563, 1607, 2376, 7902, 538, 519, 634, 17113, 3296, 540, 519, 1820, 7160, 896, 519, 2212, 1467, 834, 3086, 585, 930, 1434, 3377, 257, 0, 27860, 5599, 538, 519, 2136, 2276, 910, 9504, 454, 27860, 7626, 729, 519, 3791, 3620, 580, 4554, 17032, 4496, 24776, 538, 519, 2136, 2276, 267, 1310, 4154, 543, 7601, 269, 11635, 7626, 729, 24776, 689, 8370, 3742, 15183, 543, 1614, 556, 17474, 4238, 538, 12309, 267, 16506, 267, 543, 18096, 269, 4107, 540, 519, 4401, 7626, 729, 24776, 538, 7187, 16506, 781, 12379, 29422, 16186, 269, 4880, 18666, 630, 1410, 7964, 14263, 20558, 264, 941, 476, 274, 269, 280, 2929, 9748, 563, 6573, 645, 4629, 310, 301, 21850, 9680, 305, 28714, 590, 27263, 2975, 2464, 700, 31813, 454, 1410, 1636, 13058, 7626, 267, 1291, 7626, 267, 19817, 704, 7626, 267, 28699, 924, 267, 14680, 19601, 1241, 7626, 538, 14680, 454, 27860, 7626, 568, 5097, 24776, 543, 15568, 998, 513, 1184, 1572, 1159, 601, 1154, 3911, 601, 1154, 568, 513, 8022, 1184, 538, 799, 519, 11635, 7626, 568, 12699, 2059, 609, 1071, 651, 23315, 543, 14680, 538, 513, 19046, 19460, 634, 8022, 1184, 5283, 1206, 519, 4401, 8659, 538, 519, 7848, 543, 23352, 1454, 540, 519, 3327, 602, 568, 8659, 4635, 7648, 540, 713, 1184, 2483, 301, 13270, 290, 779, 11635, 20957, 19243, 717, 4900, 476, 2537, 260, 769, 5412, 454, 13750, 24804, 715, 13270, 290, 593, 11016, 11540, 936, 476, 2537, 260, 4473, 538, 4401, 7626, 3977, 693, 476, 274, 269, 10436, 2929, 9522, 928, 1282, 5412, 476, 1708, 271, 269, 769, 519, 1032, 268, 6210, 1974, 267, 519, 1295, 518, 1185, 3812, 476, 274, 269, 1724, 24211, 4401, 7626, 689, 922, 15183, 267, 715, 13270, 290, 1767, 538, 513, 645, 10345, 25937, 269, 634, 2754, 779, 2698, 6455, 1282, 519, 3923, 896, 2689, 941, 693, 476, 274, 563, 27860, 20957, 715, 1417, 6233, 2986, 590, 5793, 910, 522, 577, 11420, 5991, 1221, 518, 1248, 523, 26716, 454, 27860, 7626, 5609, 614, 589, 13557, 1570, 585, 19046, 1922, 1248, 864, 1159, 601, 1154, 267, 799, 568, 1500, 676, 5609, 18146, 7626, 267, 14680, 267, 5386, 1071, 651, 267, 29971, 5609, 614, 543, 19046, 1922, 1248, 864, 7452, 593, 2027, 12966, 5609, 18146, 6191, 269, 590, 5793, 2298, 568, 5462, 676, 519, 3171, 1543, 540, 4401, 7626, 267, 4222, 267, 9552, 1282, 8022, 543, 5786, 538, 513, 454, 305, 1177, 10049, 543, 13786, 1043, 14086, 1923, 570, 1092, 13082, 454, 763, 6820, 30200, 6828, 18767, 519, 1158, 7777, 4786, 543, 14439, 7221, 538, 5374, 6194, 6151, 1570, 910, 4401, 7626, 267, 5755, 267, 14680, 267, 3092, 269, 1284, 1246, 513, 11528, 2689, 540, 20569, 543, 4199, 3490, 543, 1870, 11378, 547, 1413, 585, 3255, 602, 616, 6225, 547, 543, 538, 1899, 609, 570, 1092, 13082, 781, 4640, 543, 1870, 1445, 563, 273, 290, 263, 272, 264, 11635, 20957, 454, 13295, 267, 5910, 8972, 4401, 22714, 2099, 513, 1804, 5354, 540, 519, 7626, 1031, 269, 769, 519, 5609, 18146, 1184, 267, 5386, 22714, 476, 273, 268, 274, 7825, 538, 8006, 616, 6404, 609, 1071, 651, 30089, 607, 513, 4492, 269, 8738, 660, 14680, 8869, 568, 1031, 607, 513, 13441, 269, 1452, 2326, 616, 9901, 538, 606, 4401, 4216, 1572, 513, 5493, 2280, 1354, 1373, 5337, 1243, 563, 298, 523, 12505, 11635, 20957, 4675, 11502, 267, 13583, 20445, 267, 1733, 3421, 531, 619, 543, 454, 8340, 11635, 20957, 4675, 11502, 269, 5192, 5767, 12051, 3902, 585, 11635, 20957, 269, 32369, 24185, 543, 1921, 609, 8230, 12505, 9755, 543, 645, 273, 289, 14273, 540, 11635, 20957, 269, 8525, 910, 476, 272, 454, 27860, 20957, 14409, 7233, 910, 29258, 7577, 454, 27860, 568, 1336, 538, 519, 1158, 781, 9510, 543, 1034, 4922, 1031, 267, 568, 519, 4102, 2179, 4496, 267, 519, 4496, 4616, 540, 827, 476, 4817, 260, 540, 2698, 4616, 15660, 1258, 7626, 568, 5631, 1031, 585, 4401, 543, 5374, 2872, 267, 1159, 601, 1154, 4401, 543, 5374, 2687, 547, 1492, 1114, 3327, 1543, 7868, 865, 10777, 4401, 7626, 12074, 568, 519, 1292, 3077, 540, 4853, 1646, 543, 13345, 15660, 1258, 7626, 18689, 2747, 2030, 568, 3622, 4429, 300, 9394, 594, 517, 20957, 7557, 10320, 1280, 22312, 15057, 454, 326, 1245, 7626, 17819, 3684, 14273, 538, 5045, 21562, 269, 5985, 5916, 3937, 282, 5985, 8302, 585, 9042, 2560, 25157, 267, 9459, 267, 11894, 267, 1715, 10215, 267, 15057, 2560, 27860, 20957, 24517, 6233, 13583, 20445, 1299, 11635, 20957, 6693, 27860, 20957, 3911, 601, 1154, 6713, 910, 24761, 16735, 7177, 454, 27860, 7626, 568, 5833, 538, 519, 6671, 1505, 540, 1930, 5641, 610, 11895, 5599, 543, 23187, 519, 7626, 547, 519, 2627, 7041, 616, 1141, 621, 568, 16760, 267, 18233, 267, 543, 16487, 547, 519, 1159, 601, 614, 269, 3371, 519, 7626, 568, 2322, 883, 513, 19046, 19460, 2059, 609, 14680, 543, 1071, 651, 543, 16271, 547, 3905, 2011, 1025, 8463, 543, 3002, 799, 17838, 519, 7626, 547, 25183, 4401, 563, 1432, 568, 519, 3483, 540, 14680, 538, 513, 19046, 19460, 286, 910, 2372, 7702, 454, 3916, 9693, 568, 1031, 547, 4894, 23606, 538, 519, 19460, 543, 519, 1292, 791, 12053, 540, 519, 19046, 19460, 568, 21958, 630, 338, 663, 543, 4224, 264, 799, 568, 13339, 8166, 269, 13339, 8166, 568, 513, 4396, 693, 19460, 5210, 865, 621, 23465, 609, 7513, 12547, 689, 519, 10920, 335, 2483, 309, 6359, 599, 6182, 5407, 2398, 1241, 20957, 5903, 910, 5323, 655, 518, 268, 1105, 924, 330, 1084, 19709, 454, 27860, 20957, 5599, 8302, 3549, 5903, 769, 15057, 269, 4401, 7626, 11493, 16491, 906, 538, 32650, 5984, 1547, 634, 7626, 8860, 3937, 7601, 32291, 3440, 1984, 609, 1434, 2773, 11635, 20957, 5455, 326, 15665, 26836, 19783, 12313, 267, 14154, 476, 7742, 265, 6110, 17088, 10265, 8302, 2599, 15057, 9540, 22387, 21081, 924, 9412, 12942, 26836, 19783, 10724, 12313, 5903, 769, 3127, 1280, 269, 32650, 5984, 1592, 8860, 4401, 7626, 454, 7617, 4224, 568, 606, 1383, 540, 513, 804, 2880, 3267, 910, 11020, 569, 2593, 454, 1241, 7626, 4224, 6070, 14680, 476, 273, 6423, 4267, 20444, 656, 534, 611, 2643, 534, 20444, 656, 534, 611, 2643, 534, 8382, 281, 519, 2953, 2626, 814, 547, 581, 32549, 1547, 19247, 281, 4126, 621, 2337, 269, 859, 514, 6321, 278, 859, 514, 6321, 278, 454, 1241, 7626, 538, 14680, 910, 737, 331, 889, 7032, 2532, 1144, 3821, 269, 680, 454, 27860, 20957, 3911, 601, 1154, 6713, 269, 634, 7626, 568, 16041, 883, 513, 19046, 19460, 2059, 609, 6027, 9424, 540, 1071, 651, 543, 14680, 12182, 13674, 2011, 568, 13859, 547, 519, 19460, 543, 930, 1106, 540, 4492, 1031, 547, 6318, 519, 2837, 634, 4401, 568, 4389, 689, 519, 7626, 676, 3327, 538, 519, 1071, 651, 519, 14680, 29000, 1793, 698, 9668, 689, 519, 25183, 4401, 634, 1793, 698, 543, 25183, 4401, 616, 512, 11474, 1055, 689, 519, 5377, 540, 1862, 0, 3528, 3220, 269, 1530, 534, 631, 28243, 267, 667, 8976, 267, 25280, 267, 744, 5425, 267, 11083, 290, 13624, 267, 11483, 5425, 267, 22085, 7563, 4211, 8976, 267, 31368, 8976, 267, 12501, 5937, 301, 454, 763, 2361, 540, 6484, 2257, 16111, 21040, 269, 4495, 2938, 998, 1152, 513, 10894, 543, 8770, 7828, 267, 6484, 2257, 1631, 32144, 338, 609, 6375, 1108, 267, 11719, 344, 267, 543, 6530, 269, 1215, 891, 4610, 540, 1353, 2170, 616, 4742, 5863, 569, 1950, 855, 949, 948, 547, 8774, 1769, 883, 1585, 11257, 543, 6604, 585, 1082, 1455, 5312, 2175, 269, 1215, 891, 1585, 2127, 540, 4791, 2259, 2170, 609, 6484, 2306, 621, 7805, 602, 519, 8026, 2168, 13309, 2115, 547, 581, 3222, 540, 875, 3536, 2170, 609, 1480, 17550, 543, 1979, 17190, 563, 301, 9173, 6157, 5222, 6375, 1108, 269, 3245, 897, 1091, 547, 18212, 9964, 1166, 4100, 267, 2732, 666, 6157, 1199, 5573, 1978, 12214, 3157, 602, 666, 5397, 610, 3895, 2068, 2829, 269, 715, 19153, 1404, 513, 4105, 1909, 538, 2068, 6604, 269, 4826, 2337, 547, 3289, 3433, 938, 4064, 543, 5023, 547, 2061, 5563, 269, 12192, 595, 2337, 547, 5818, 3043, 1973, 1591, 1293, 267, 799, 949, 948, 538, 519, 6604, 540, 1455, 897, 1091, 282, 621, 849, 16881, 519, 10338, 540, 4401, 543, 11151, 678, 1157, 1115, 563, 3080, 2101, 1858, 540, 1011, 5317, 1382, 568, 519, 8937, 2173, 2222, 6798, 727, 269, 25280, 338, 1058, 581, 3222, 540, 519, 17542, 540, 17973, 602, 2661, 538, 938, 8937, 543, 593, 938, 2960, 269, 1452, 1507, 12961, 666, 2170, 609, 938, 4703, 262, 2702, 547, 1110, 3634, 519, 4761, 1062, 630, 324, 3052, 269, 12954, 570, 610, 645, 1591, 30843, 1070, 799, 666, 581, 2938, 538, 1585, 27131, 12263, 630, 6938, 264, 543, 20461, 2090, 269, 674, 8463, 666, 9797, 1764, 2550, 609, 17241, 267, 1247, 2550, 609, 20461, 949, 4324, 689, 11326, 1970, 538, 4006, 267, 1164, 538, 15060, 476, 274, 9761, 7408, 267, 543, 3638, 538, 4307, 11169, 563, 1103, 2110, 267, 2732, 666, 948, 12189, 519, 8937, 27354, 267, 799, 666, 7654, 1199, 5573, 2242, 538, 2068, 1533, 269, 2353, 540, 891, 616, 4396, 4128, 1946, 513, 16362, 540, 8447, 10657, 1058, 581, 9584, 2550, 585, 1761, 6484, 5829, 2152, 269, 10791, 568, 5704, 2299, 4448, 609, 938, 4761, 1949, 267, 799, 666, 1118, 610, 2736, 938, 25280, 4093, 2336, 5978, 2732, 666, 1764, 938, 2634, 267, 13285, 267, 543, 11983, 10260, 269, 5213, 1405, 1589, 865, 286, 8347, 1236, 6235, 707, 6995, 2221, 543, 1294, 875, 707, 2212, 7959, 1862, 323, 2884, 666, 543, 1281, 1110, 3634, 519, 8401, 1062, 538, 1585, 2081, 563, 22137, 723, 3254, 602, 513, 4057, 267, 5375, 2732, 1164, 538, 3170, 267, 4006, 267, 543, 9268, 3536, 666, 1199, 5573, 1970, 7400, 338, 540, 5312, 6553, 269, 6270, 6553, 814, 1044, 5532, 609, 513, 7613, 1634, 607, 5343, 1645, 267, 610, 4359, 10172, 538, 8184, 540, 7050, 12982, 4598, 269, 769, 10075, 1645, 949, 2491, 875, 930, 2043, 949, 1459, 609, 5042, 7771, 267, 5312, 25688, 543, 4745, 1928, 267, 543, 9025, 2068, 269, 6270, 2068, 2829, 616, 2693, 28824, 543, 31181, 267, 4470, 593, 519, 3259, 540, 519, 2783, 543, 519, 10858, 2126, 2409, 563, 2005, 781, 711, 782, 3983, 3377, 3823, 2732, 543, 11719, 344, 269, 4144, 1115, 3638, 538, 25168, 1156, 11169, 689, 30207, 949, 948, 547, 2087, 3666, 538, 4587, 4079, 267, 543, 949, 2569, 519, 12918, 540, 12216, 781, 1646, 676, 25094, 27701, 585, 1863, 268, 2784, 25025, 269, 12192, 667, 267, 689, 519, 3141, 610, 21455, 267, 949, 948, 547, 2333, 4887, 2527, 538, 4587, 4079, 543, 948, 2061, 930, 8813, 269, 5253, 666, 5397, 6553, 267, 1199, 5573, 824, 12214, 6114, 267, 607, 1134, 607, 2170, 609, 519, 8937, 27354, 269, 634, 5872, 609, 519, 8937, 27354, 543, 519, 2634, 568, 1634, 607, 519, 8937, 1532, 1778, 14289, 267, 799, 649, 786, 1865, 538, 3178, 538, 519, 1985, 3296, 563, 5278, 540, 891, 4681, 723, 2312, 6286, 585, 5778, 14468, 4791, 25280, 12665, 630, 301, 5425, 264, 543, 12908, 12278, 14468, 4791, 25280, 12665, 630, 294, 5425, 1040, 3807, 607, 6484, 666, 1110, 3634, 519, 4761, 1062, 621, 666, 849, 2047, 1764, 519, 8401, 1062, 269, 25280, 338, 991, 547, 581, 13473, 593, 519, 5872, 540, 1426, 543, 8401, 1062, 563, 20329, 1670, 4713, 666, 7369, 519, 2126, 3210, 547, 2168, 3797, 269, 1306, 667, 8976, 338, 267, 875, 1082, 7218, 723, 596, 2938, 6707, 10726, 5312, 1928, 950, 789, 616, 1360, 20158, 4534, 1360, 1906, 267, 1318, 286, 769, 824, 2665, 267, 930, 540, 721, 723, 2938, 875, 5626, 4713, 666, 7369, 519, 14302, 630, 534, 3806, 1070, 21200, 540, 25280, 5574, 630, 321, 13633, 610, 3965, 2152, 1070, 610, 1928, 3210, 630, 24119, 1833, 1040, 16723, 2188, 849, 798, 557, 18571, 538, 609, 1514, 543, 2804, 2188, 267, 1818, 621, 835, 3532, 1110, 8595, 547, 519, 3210, 540, 2168, 3797, 2359, 269, 10791, 1281, 1764, 6530, 543, 835, 2442, 6484, 2165, 1031, 585, 971, 1353, 568, 2618, 517, 9173, 563, 1692, 1281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4341, 563, 1103, 513, 2487, 1353, 267, 3173, 16941, 593, 26931, 547, 1118, 519, 1101, 2143, 6482, 540, 519, 5790, 593, 519, 3781, 2427, 540, 519, 4541, 269, 2201, 519, 24817, 2427, 267, 654, 3008, 303, 268, 13199, 321, 779, 5580, 5790, 666, 3914, 5210, 540, 1472, 1614, 8536, 5232, 17622, 2073, 865, 8407, 543, 6886, 18493, 622, 269, 2201, 519, 3781, 2427, 267, 2705, 267, 519, 2319, 4362, 602, 11626, 5210, 941, 10300, 1386, 4586, 1607, 2837, 3017, 7957, 832, 519, 5250, 540, 2178, 12798, 689, 7178, 547, 7532, 1472, 519, 4541, 267, 8876, 519, 10920, 12723, 1216, 6675, 998, 519, 5790, 689, 519, 1554, 2427, 547, 519, 3781, 2427, 269, 9484, 541, 730, 883, 7250, 543, 5135, 8444, 267, 891, 8444, 6534, 547, 968, 322, 944, 518, 892, 5210, 9192, 1586, 547, 1106, 32350, 269, 901, 568, 1287, 5645, 1394, 547, 519, 2395, 728, 676, 519, 12798, 543, 519, 4783, 5170, 563, 6546, 1767, 267, 5210, 593, 519, 3781, 2427, 616, 2760, 1970, 2614, 585, 1216, 12269, 547, 1106, 1282, 713, 4783, 269, 1717, 267, 713, 1281, 711, 1611, 602, 12269, 798, 711, 1106, 693, 782, 563, 18404, 28351, 12269, 543, 29636, 540, 10475, 10007, 888, 28095, 1239, 1185, 2907, 3254, 4191, 540, 8407, 971, 607, 4401, 267, 13101, 267, 26388, 543, 8709, 18123, 4540, 538, 519, 4541, 779, 5790, 269, 769, 713, 1353, 267, 519, 3173, 1336, 602, 621, 568, 4411, 2614, 593, 519, 3781, 2427, 585, 891, 8407, 547, 7873, 1619, 883, 12269, 1547, 1656, 1175, 899, 1216, 11517, 267, 891, 12269, 540, 4496, 616, 5781, 27762, 1055, 519, 1554, 2427, 540, 519, 4541, 1141, 789, 786, 18493, 622, 267, 1354, 7873, 14819, 1586, 593, 519, 3781, 2427, 267, 543, 865, 593, 269, 7053, 267, 17285, 12269, 5749, 1406, 519, 1152, 20868, 7613, 2469, 593, 593, 519, 3781, 2427, 269, 4340, 547, 519, 4589, 267, 968, 22856, 540, 5277, 21889, 9232, 1223, 849, 1106, 4586, 14722, 941, 8197, 14281, 547, 4063, 519, 9000, 540, 11956, 538, 519, 5790, 540, 519, 4541, 269, 4340, 547, 873, 267, 713, 1223, 581, 6045, 676, 519, 28198, 540, 4496, 22856, 538, 519, 2539, 2157, 540, 519, 5790, 267, 3544, 519, 9165, 540, 7422, 269, 901, 17285, 11517, 1131, 1287, 1294, 519, 11956, 7873, 1619, 609, 519, 5135, 267, 8108, 1351, 1495, 636, 269, 1717, 267, 2687, 547, 519, 3948, 267, 621, 568, 513, 17285, 7623, 602, 1131, 1106, 1018, 649, 917, 593, 3047, 607, 6299, 625, 610, 1094, 653, 327, 2231, 950, 13572, 609, 824, 8407, 602, 949, 581, 1459, 538, 519, 5790, 269, 540, 519, 4541, 563, 2108, 898, 779, 3078, 547, 1353, 10785, 899, 654, 3008, 303, 268, 13199, 321, 602, 616, 1360, 1114, 689, 1346, 538, 938, 9891, 3590, 269, 634, 8545, 8197, 1450, 721, 547, 1294, 875, 519, 4694, 12742, 13789, 538, 3665, 2175, 9232, 267, 896, 6050, 11835, 13860, 4446, 560, 578, 267, 540, 634, 7046, 2160, 630, 18197, 8003, 1916, 1607, 960, 4061, 24259, 1007, 1769, 593, 519, 5571, 11626, 6384, 593, 519, 3781, 2427, 540, 513, 3905, 18347, 269, 1717, 267, 972, 568, 1869, 1454, 547, 1451, 269, 1677, 798, 713, 267, 519, 2319, 4566, 547, 2417, 2263, 713, 608, 26979, 564, 609, 519, 6276, 30197, 23571, 1282, 519, 1101, 1032, 540, 922, 5106, 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 ]
[ 0, 3848, 476, 276, 281, 24531, 2659, 17828, 20122, 2421, 692, 5970, 596, 2479, 2219, 827, 2348, 513, 15908, 855, 4769, 1405, 917, 1141, 547, 1376, 286, 589, 15908, 568, 513, 1187, 2534, 602, 596, 798, 538, 707, 22302, 942, 1175, 1317, 596, 2972, 621, 256, 898, 1223, 581, 4376, 689, 5373, 267, 4730, 13558, 267, 610, 1256, 1565, 875, 547, 1404, 513, 7574, 6293, 269, 15531, 519, 1318, 15908, 585, 596, 1522, 3100, 4101, 693, 1101, 267, 855, 609, 513, 2370, 3787, 540, 1582, 7721, 680, 2610, 267, 596, 786, 15983, 3605, 1945, 602, 13352, 596, 9985, 2439, 4131, 781, 2253, 676, 10452, 593, 3054, 269, 6056, 827, 1018, 596, 6923, 14133, 693, 610, 1018, 2501, 3362, 547, 596, 269, 1452, 1223, 581, 10881, 607, 547, 1018, 2186, 540, 12348, 596, 1522, 2972, 269, 1280, 1383, 267, 952, 596, 723, 2141, 1044, 1434, 693, 7206, 543, 17329, 3257, 1148, 3785, 950, 596, 941, 7820, 267, 1287, 5310, 3695, 1114, 3308, 6575, 971, 607, 11516, 4221, 267, 1216, 10233, 267, 610, 17001, 1223, 1831, 513, 1007, 15908, 780, 3086, 1589, 1394, 547, 1585, 2238, 596, 1336, 11791, 2429, 707, 1272, 269, 9320, 596, 6068, 6061, 13410, 267, 2679, 6181, 334, 3889, 267, 14964, 21891, 1472, 519, 8378, 267, 610, 8380, 1927, 16150, 9248, 269, 2353, 891, 2833, 1683, 3407, 4030, 883, 1018, 12204, 540, 12348, 1223, 533, 1664, 707, 7279, 1631, 269, 3503, 1524, 782, 519, 4690, 543, 2250, 1307, 602, 2097, 547, 2247, 1107, 713, 834, 19950, 5903, 257, 786, 4196, 607, 513, 3730, 3391, 1282, 707, 3406, 585, 519, 3501, 15908, 780, 9202, 267, 1577, 781, 2263, 1761, 6688, 540, 12348, 1759, 593, 1455, 7375, 1851, 2043, 269, 1284, 1419, 19665, 873, 2687, 547, 741, 2470, 282, 1934, 616, 2947, 1292, 2516, 1384, 272, 269, 11300, 11242, 910, 1403, 596, 2648, 11589, 3054, 998, 9345, 543, 5647, 267, 2015, 11362, 883, 7499, 18129, 899, 5373, 267, 7206, 267, 10344, 267, 20341, 267, 22927, 267, 26095, 267, 5186, 3832, 1154, 267, 8642, 1374, 267, 20419, 532, 267, 14318, 267, 4670, 14708, 267, 5152, 8586, 267, 13465, 267, 15472, 267, 9117, 267, 9059, 15361, 267, 6965, 267, 9423, 267, 22386, 267, 4496, 11529, 267, 14446, 1818, 267, 14735, 7718, 908, 267, 27536, 25786, 267, 30120, 267, 6752, 8888, 267, 9703, 7718, 908, 267, 30951, 267, 28551, 3556, 8888, 267, 19761, 267, 5816, 3101, 267, 642, 8421, 3101, 267, 15264, 532, 267, 610, 13371, 1433, 2870, 563, 273, 269, 25827, 623, 2720, 7057, 910, 1403, 2565, 3206, 543, 1966, 9010, 10161, 596, 267, 1413, 1100, 2417, 982, 4081, 2238, 899, 2542, 2835, 630, 12279, 610, 1875, 27395, 1070, 15388, 3140, 2621, 267, 11504, 15872, 267, 11836, 9840, 267, 10283, 538, 7688, 19194, 267, 8026, 2790, 2979, 3756, 267, 4974, 4914, 4654, 267, 8193, 267, 3384, 7270, 267, 4702, 2203, 27858, 267, 17651, 267, 22884, 267, 2520, 665, 2286, 267, 12202, 267, 5986, 267, 11256, 267, 5444, 30688, 267, 10786, 1108, 267, 1976, 9564, 267, 14181, 18602, 267, 3444, 6919, 267, 4604, 3756, 267, 4640, 3756, 267, 9101, 11623, 267, 678, 26680, 267, 610, 2634, 29225, 619, 563, 274, 269, 8447, 24601, 910, 12344, 596, 2972, 1373, 3742, 543, 3001, 707, 1560, 269, 11846, 2709, 3875, 3681, 4470, 593, 2436, 596, 4782, 1367, 2591, 610, 16542, 269, 2368, 2442, 5079, 1331, 10977, 267, 4881, 267, 15203, 267, 25920, 24692, 267, 16945, 4565, 8172, 267, 31562, 267, 6777, 24692, 267, 4224, 16246, 267, 19831, 6575, 267, 10649, 267, 15815, 919, 267, 7544, 5049, 267, 27590, 10415, 267, 17281, 267, 3983, 332, 15586, 267, 23601, 267, 17075, 267, 13836, 267, 2571, 4252, 267, 14912, 267, 2019, 28380, 267, 11176, 267, 24821, 2421, 267, 19735, 267, 22725, 4592, 572, 267, 25319, 267, 3950, 1299, 2361, 267, 7504, 3724, 14964, 267, 535, 9760, 267, 818, 30987, 267, 6367, 1782, 267, 535, 5142, 23331, 267, 31614, 1136, 267, 666, 27739, 267, 22892, 267, 17774, 532, 267, 1085, 18866, 11362, 267, 2879, 1251, 9934, 267, 10068, 267, 10122, 267, 22742, 267, 6177, 342, 10248, 267, 7259, 324, 1359, 267, 19482, 267, 31939, 6362, 267, 7823, 324, 1359, 267, 524, 3058, 267, 610, 1612, 698, 331, 4575, 563, 275, 269, 7991, 6796, 910, 29179, 1394, 547, 2486, 6770, 10373, 9547, 269, 1411, 1223, 15321, 693, 2199, 1347, 885, 267, 10506, 267, 8808, 5321, 267, 3506, 267, 8021, 267, 3662, 24181, 267, 1426, 8492, 267, 2825, 3906, 267, 6107, 7740, 267, 3909, 5238, 267, 2797, 11044, 267, 9568, 8323, 3646, 267, 610, 7119, 538, 2508, 24597, 2621, 585, 3123, 2673, 547, 707, 2295, 563, 276, 269, 11814, 17156, 910, 3509, 1004, 17589, 12257, 689, 11018, 3688, 789, 23507, 269, 15019, 10070, 2039, 689, 22827, 267, 11113, 267, 2022, 11568, 267, 29654, 267, 16181, 267, 3983, 2471, 267, 9467, 6486, 267, 14676, 267, 2962, 5515, 267, 31119, 267, 9162, 267, 3631, 267, 1884, 2294, 267, 15455, 267, 6886, 267, 15798, 17850, 338, 267, 7786, 267, 3762, 267, 11480, 11503, 267, 1883, 577, 1622, 267, 6474, 7901, 525, 267, 22197, 267, 8929, 14296, 267, 14420, 544, 13903, 267, 12689, 10824, 267, 21305, 7802, 267, 24064, 2643, 5638, 267, 22101, 8291, 7148, 525, 267, 7131, 338, 267, 23861, 338, 267, 3381, 3756, 267, 7260, 8357, 8494, 807, 267, 1313, 21106, 267, 13447, 17914, 267, 5026, 25584, 267, 610, 28910, 6337, 780, 2026, 596, 1224, 998, 1142, 7121, 267, 1705, 1022, 1880, 15908, 6952, 707, 3750, 286, 2107, 6148, 972, 729, 513, 6249, 8220, 1896, 13366, 602, 17275, 7772, 1369, 596, 269, 9796, 3007, 547, 1346, 4606, 2094, 789, 5815, 2009, 10092, 4502, 14236, 2417, 780, 5194, 1259, 547, 7522, 1524, 707, 5079, 568, 1620, 707, 7209, 1826, 1732, 269, 9608, 885, 3622, 2887, 896, 1079, 3376, 26333, 281, 2271, 549, 591, 1206, 543, 6987, 549, 591, 1206, 269, 2271, 549, 591, 1206, 3335, 1745, 10069, 1242, 1310, 7836, 9602, 942, 4805, 1247, 970, 549, 591, 1206, 22507, 2933, 676, 15025, 13998, 609, 1866, 269, 26681, 835, 568, 1732, 982, 519, 824, 282, 649, 2811, 3274, 29040, 8335, 780, 2791, 1522, 849, 1616, 547, 1491, 4063, 540, 2436, 596, 10709, 4724, 22072, 610, 1895, 2238, 543, 952, 596, 3870, 7214, 610, 2168, 18697, 269, 1703, 616, 7899, 540, 1863, 2228, 7209, 4255, 2139, 602, 666, 948, 8774, 1769, 593, 891, 3344, 540, 707, 1915, 269, 2290, 4922, 1031, 1449, 568, 1572, 519, 3733, 619, 5174, 3419, 7714, 7392, 25824, 1807, 267, 799, 11008, 3278, 14789, 883, 28465, 3982, 2010, 269, 18833, 707, 7209, 1826, 666, 2285, 596, 16367, 5583, 3823, 5078, 16837, 2238, 780, 1103, 3932, 267, 4466, 513, 16180, 15908, 3322, 26126, 543, 3408, 269, 1635, 6236, 707, 7915, 5759, 267, 3105, 3675, 903, 267, 543, 7209, 7592, 267, 596, 616, 1134, 593, 707, 1259, 547, 796, 792, 2251, 513, 9159, 2250, 830, 19918, 14018, 585, 9358, 256, 8414, 15908, 10122, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23804, 513, 16180, 15908, 602, 596, 2972, 3340, 930, 1582, 26190, 563, 9359, 676, 3206, 827, 707, 2067, 15421, 267, 1983, 267, 543, 2238, 596, 4076, 10150, 538, 519, 2250, 269, 5269, 513, 1592, 540, 1919, 596, 1265, 4277, 610, 1131, 899, 547, 1451, 811, 827, 563, 13706, 952, 596, 2972, 3860, 12348, 899, 6575, 267, 13492, 267, 610, 2575, 267, 7214, 18697, 899, 2542, 610, 21802, 267, 2168, 2238, 267, 2146, 3028, 267, 610, 10655, 269, 6733, 585, 4798, 538, 519, 2010, 540, 2238, 596, 28040, 10028, 2509, 269, 901, 666, 7866, 519, 5686, 540, 12348, 602, 949, 1719, 596, 563, 1692, 547, 4855, 4934, 2659, 22226, 7392, 547, 17292, 519, 9406, 20122, 2421, 454, 7312, 7209, 1826, 666, 2161, 513, 2603, 827, 519, 5686, 540, 12348, 596, 949, 2972, 563, 6701, 596, 811, 540, 606, 25644, 3200, 610, 970, 549, 3200, 286, 1684, 596, 4782, 22072, 610, 1514, 2238, 286, 3657, 596, 20916, 2509, 7214, 610, 2168, 12348, 888, 2467, 616, 1082, 1863, 7209, 15178, 4255, 2228, 602, 666, 948, 10625, 707, 21274, 269, 18873, 899, 519, 3733, 619, 5174, 3419, 7714, 7392, 25824, 1807, 30387, 1004, 883, 476, 1626, 7209, 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, 5149, 476, 277, 269, 276, 281, 20260, 783, 2271, 550, 687, 1369, 519, 12745, 540, 7351, 9198, 894, 3642, 3763, 906, 692, 296, 269, 4985, 692, 763, 5251, 540, 4579, 5250, 814, 1044, 3648, 12936, 676, 7760, 538, 5841, 4987, 630, 9590, 1070, 3226, 998, 519, 11944, 540, 10427, 2645, 971, 607, 19208, 275, 267, 19863, 324, 476, 273, 267, 543, 10515, 559, 582, 269, 1452, 10124, 6318, 3209, 2055, 3823, 4579, 783, 15752, 267, 799, 12926, 3277, 547, 519, 5870, 540, 8186, 1063, 1079, 6105, 945, 3858, 2390, 519, 2474, 540, 513, 20476, 664, 269, 901, 3296, 12538, 883, 891, 10848, 1247, 3695, 875, 4763, 267, 9698, 267, 10014, 267, 543, 10362, 27380, 666, 581, 7471, 883, 1870, 2152, 543, 2883, 12602, 5049, 267, 4481, 1346, 10704, 1472, 11731, 269, 1635, 6313, 1585, 7653, 5473, 3642, 9988, 267, 713, 1770, 8711, 519, 2956, 540, 5807, 13784, 538, 3656, 2069, 543, 2259, 780, 2862, 269, 4197, 20260, 783, 2271, 550, 687, 692, 4263, 922, 4295, 267, 4579, 783, 9837, 19752, 602, 1312, 6105, 3238, 538, 519, 6876, 4865, 513, 8994, 1620, 540, 741, 9757, 13800, 543, 2924, 269, 25214, 267, 9591, 4579, 783, 8247, 2838, 2963, 540, 2792, 1063, 1480, 11051, 5827, 540, 11589, 1028, 550, 269, 1717, 267, 2413, 3642, 1949, 4161, 2757, 18765, 540, 9844, 543, 9837, 1813, 547, 741, 2702, 547, 5352, 9583, 14628, 6114, 269, 9182, 267, 8159, 2436, 606, 3642, 11769, 3771, 26092, 9758, 4579, 783, 15752, 3587, 5051, 4101, 780, 7656, 269, 10289, 3642, 7167, 3809, 543, 7799, 14591, 692, 2414, 1732, 10146, 519, 6286, 540, 10128, 3642, 883, 4579, 16395, 267, 621, 568, 1898, 1101, 547, 1174, 741, 7207, 543, 7687, 269, 1280, 3236, 267, 4359, 1893, 3631, 899, 19208, 275, 8858, 7415, 15334, 538, 10451, 17396, 543, 2796, 1302, 4143, 1257, 1759, 593, 3593, 12987, 269, 11048, 267, 789, 3668, 7915, 18144, 610, 4664, 267, 17021, 873, 24835, 762, 540, 22992, 703, 2056, 547, 4283, 883, 513, 11006, 6876, 269, 5015, 267, 5103, 1713, 3356, 267, 3642, 5170, 547, 20920, 609, 16208, 11029, 16082, 1459, 538, 1480, 2792, 267, 1818, 3020, 13618, 1256, 811, 21792, 780, 4353, 269, 30487, 13751, 12287, 3125, 543, 10837, 692, 3080, 1935, 547, 5466, 4579, 783, 15752, 538, 3642, 4205, 3322, 26587, 3908, 3656, 1268, 3125, 610, 8116, 4567, 547, 1978, 3642, 1949, 269, 11330, 7859, 8044, 602, 3257, 865, 1131, 5512, 3642, 9988, 547, 7119, 538, 16155, 17997, 762, 11650, 267, 7551, 5587, 4328, 741, 5107, 543, 9021, 896, 519, 1876, 269, 11534, 7859, 4831, 602, 5316, 5024, 3656, 7209, 1223, 1291, 547, 27644, 4539, 267, 1519, 1761, 15668, 585, 3527, 3144, 1510, 1697, 1480, 23388, 269, 1306, 971, 267, 11495, 606, 3617, 3666, 3788, 2565, 950, 14719, 908, 9450, 2924, 585, 1875, 25993, 11051, 780, 309, 269, 16871, 32213, 16677, 698, 16479, 13756, 692, 2026, 7855, 6330, 519, 9687, 14099, 540, 3642, 19899, 4310, 11731, 267, 6220, 3309, 5380, 3587, 14063, 269, 22685, 1154, 8537, 3450, 2994, 5849, 602, 2104, 17864, 5660, 519, 2591, 15054, 676, 6932, 4066, 1247, 14237, 2686, 16169, 2556, 585, 2500, 6041, 2066, 9867, 5095, 269, 16930, 4485, 949, 27167, 18136, 16823, 10529, 609, 6791, 538, 3642, 543, 1876, 267, 8888, 2013, 2090, 20515, 1761, 25354, 2404, 609, 3642, 11731, 267, 543, 8716, 1362, 5717, 4478, 5683, 9270, 26582, 676, 891, 7835, 780, 9654, 269, 19484, 19078, 2372, 663, 2456, 28259, 532, 3642, 20260, 338, 692, 7661, 267, 2502, 1053, 538, 15826, 11407, 7282, 519, 6626, 29298, 540, 8508, 3642, 1369, 4579, 5250, 3157, 19329, 14344, 1896, 1883, 5683, 4145, 269, 7324, 891, 616, 4180, 11413, 538, 5690, 545, 3375, 6194, 267, 19086, 1379, 13103, 1063, 3425, 543, 3642, 7858, 328, 2209, 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 ]
[ 2640, 540, 6069, 12381, 1404, 513, 11358, 1909, 538, 32750, 1007, 2853, 780, 11101, 267, 10442, 519, 1764, 540, 8045, 15024, 5713, 12242, 5301, 269, 3689, 267, 621, 2337, 2697, 2127, 8506, 2417, 6454, 267, 7175, 1576, 15494, 950, 2556, 269, 5822, 267, 11744, 15889, 2164, 1128, 1571, 6015, 1851, 4961, 3823, 519, 12117, 540, 2242, 267, 7700, 547, 8476, 3398, 1464, 780, 2414, 2040, 909, 267, 519, 5610, 540, 2029, 267, 1445, 593, 21757, 2013, 1394, 8421, 338, 267, 14713, 540, 513, 11215, 1604, 267, 543, 2834, 6268, 1106, 7533, 3334, 540, 30259, 262, 5571, 16324, 6963, 3460, 269, 1306, 2104, 3609, 15670, 267, 15156, 267, 610, 3274, 5483, 4961, 267, 1620, 891, 6384, 7916, 721, 609, 2645, 547, 9691, 2708, 2147, 18129, 11992, 269, 2991, 782, 267, 14637, 7347, 4341, 6361, 25237, 10850, 3788, 513, 3838, 5539, 2066, 7239, 20678, 585, 5126, 267, 7862, 267, 543, 3356, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 30259, 5126, 1062, 5170, 547, 20920, 609, 1713, 4398, 2152, 267, 3226, 3823, 519, 942, 2838, 547, 8207, 3540, 267, 5010, 267, 543, 11889, 2665, 538, 519, 1101, 3236, 10470, 269, 1677, 2232, 891, 2591, 543, 3986, 16324, 2773, 267, 519, 6554, 540, 30259, 814, 3144, 23801, 3268, 676, 7598, 606, 16529, 543, 3102, 30271, 685, 21637, 4643, 269, 634, 3119, 6662, 540, 713, 6963, 568, 547, 3715, 513, 2413, 267, 3015, 267, 543, 3608, 16324, 1062, 563, 3080, 1883, 2460, 540, 519, 6963, 3646, 568, 519, 25465, 540, 6639, 7760, 269, 634, 4367, 540, 519, 552, 268, 3286, 823, 543, 3059, 8301, 19827, 3785, 568, 513, 29810, 1383, 269, 1452, 7341, 2832, 547, 15407, 2029, 547, 20928, 5480, 5773, 543, 2087, 2949, 4398, 269, 5015, 267, 13447, 539, 3646, 616, 1373, 1500, 547, 2312, 519, 1394, 8421, 540, 533, 2056, 2665, 267, 799, 814, 19017, 936, 942, 563, 2026, 540, 476, 2641, 5147, 476, 1708, 272, 267, 519, 3084, 6388, 540, 519, 13591, 1775, 268, 3286, 823, 1062, 814, 1795, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 2544, 540, 4521, 543, 7225, 2772, 21637, 257, 607, 851, 540, 834, 30311, 1315, 6554, 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, 4495, 2390, 513, 942, 267, 538, 513, 6505, 543, 10477, 14015, 10806, 267, 5030, 513, 2370, 544, 1069, 4660, 3957, 17125, 569, 269, 17125, 569, 6068, 3695, 519, 5836, 6989, 267, 10655, 21743, 15798, 17850, 338, 267, 543, 4730, 609, 1200, 3165, 2828, 269, 2290, 1554, 267, 1247, 11018, 16115, 267, 1352, 1336, 513, 2027, 835, 910, 2462, 267, 5180, 267, 543, 11909, 269, 898, 729, 865, 4190, 602, 17125, 569, 4956, 547, 798, 1945, 3860, 609, 621, 780, 2026, 17125, 569, 2220, 600, 1472, 267, 1352, 4718, 1200, 3659, 570, 11035, 267, 513, 8797, 2025, 14854, 269, 2701, 4951, 570, 11035, 519, 7168, 15798, 17850, 543, 4280, 267, 834, 307, 11035, 267, 1018, 666, 594, 798, 609, 713, 8119, 570, 11035, 20493, 543, 1767, 267, 834, 3963, 711, 1711, 513, 2027, 1747, 1141, 596, 543, 707, 4262, 13442, 2828, 666, 5531, 267, 1175, 899, 3425, 3006, 798, 593, 2244, 3010, 306, 3559, 569, 2219, 267, 834, 1432, 781, 513, 1412, 16058, 262, 543, 1946, 1131, 789, 991, 513, 1747, 547, 5531, 8119, 1924, 267, 570, 11035, 6045, 267, 834, 24109, 753, 616, 7874, 7068, 945, 2661, 593, 2244, 267, 543, 950, 789, 1616, 547, 6108, 942, 1927, 267, 789, 1419, 1694, 693, 513, 2027, 3349, 1572, 513, 1412, 8663, 9538, 1358, 2671, 2984, 267, 14902, 267, 543, 2972, 8949, 1426, 543, 10425, 15323, 3086, 8049, 267, 17125, 569, 4941, 547, 1628, 1200, 1378, 4528, 540, 513, 3046, 269, 2060, 570, 11035, 781, 5583, 267, 1352, 6394, 1082, 1114, 2010, 540, 15798, 17850, 338, 543, 1031, 873, 547, 1711, 513, 17681, 267, 5347, 2627, 269, 901, 2968, 519, 1101, 268, 1197, 15798, 17850, 3046, 1283, 256, 1879, 621, 729, 8737, 267, 17125, 569, 14376, 1200, 4262, 13442, 2828, 547, 1294, 1200, 5137, 780, 5445, 941, 27086, 676, 875, 519, 1585, 4778, 543, 5546, 540, 519, 15798, 17850, 338, 20762, 9985, 1927, 269, 17652, 2614, 267, 3025, 3323, 11093, 741, 5172, 32420, 16152, 543, 14147, 13000, 593, 519, 3046, 1283, 269, 8625, 267, 789, 561, 13774, 1117, 267, 3838, 2984, 267, 543, 2813, 19644, 8823, 780, 5804, 1287, 593, 267, 8164, 17125, 569, 543, 1200, 2828, 5433, 899, 14120, 610, 2348, 1187, 267, 789, 10356, 1472, 519, 22539, 15798, 17850, 3046, 1283, 269, 1656, 1256, 1498, 17125, 569, 1185, 2760, 1558, 3425, 1354, 267, 1352, 6956, 1631, 1946, 789, 10150, 7836, 942, 1927, 936, 513, 2027, 3046, 269, 3807, 607, 1004, 1705, 909, 1657, 267, 17125, 569, 543, 1200, 2828, 4362, 11505, 267, 7772, 267, 543, 17409, 998, 4687, 8090, 1472, 513, 2241, 2943, 9589, 1843, 9789, 597, 15798, 17850, 3046, 1283, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8310, 8242, 593, 454, 26015, 618, 3046, 25568, 666, 2981, 707, 2230, 883, 519, 10700, 13793, 719, 5544, 267, 1317, 891, 5402, 26940, 3046, 1283, 2093, 6474, 1169, 1374, 13283, 543, 6578, 563, 4322, 616, 1250, 2189, 1374, 2035, 1500, 1210, 1374, 2645, 269, 594, 4126, 596, 1265, 873, 11121, 2336, 2171, 782, 2648, 513, 1434, 25810, 3046, 267, 1810, 1406, 649, 286, 2334, 18241, 267, 15982, 2230, 1141, 649, 666, 7938, 785, 267, 7038, 543, 1118, 9434, 8823, 269, 589, 2565, 3693, 3648, 12018, 519, 2949, 15312, 543, 10342, 540, 621, 568, 519, 3046, 1283, 563, 22818, 267, 596, 4076, 1085, 10696, 519, 4950, 267, 1224, 3875, 4930, 267, 543, 8268, 26964, 585, 2093, 855, 596, 2461, 1032, 940, 585, 1945, 2189, 269, 1411, 2461, 538, 9939, 256, 634, 3364, 827, 25810, 3046, 1283, 568, 602, 972, 779, 2141, 4055, 585, 5876, 563, 4407, 649, 11760, 543, 2463, 519, 11958, 4800, 540, 4540, 2093, 630, 9767, 3580, 1265, 2200, 547, 519, 8037, 3283, 693, 519, 1439, 540, 519, 2376, 1070, 713, 2376, 14767, 1945, 811, 1107, 513, 23789, 540, 4195, 3217, 543, 2189, 5380, 593, 25810, 3046, 25568, 563, 4131, 779, 6318, 513, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2793, 307, 13543, 1315, 1530, 553, 17850, 338, 2580, 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, 3864, 7025, 3778, 281, 589, 12213, 667, 633, 883, 5274, 29568, 609, 7186, 692, 1103, 713, 1770, 267, 649, 786, 2263, 519, 1950, 2078, 1063, 3425, 543, 519, 1604, 538, 2342, 267, 16439, 519, 4720, 540, 891, 4205, 689, 3504, 2053, 547, 519, 1459, 1554, 269, 1284, 786, 4983, 875, 1480, 7239, 723, 8032, 267, 543, 1044, 8032, 676, 267, 741, 2067, 10450, 267, 6236, 1312, 519, 5497, 543, 26516, 4539, 540, 938, 3527, 269, 901, 1702, 786, 5512, 721, 547, 1732, 1174, 4207, 2825, 2152, 543, 1217, 938, 1935, 547, 5466, 873, 780, 4089, 476, 272, 281, 9147, 17959, 910, 7216, 3864, 5081, 7724, 262, 7402, 12420, 609, 7186, 692, 763, 5072, 540, 3864, 2825, 1686, 666, 581, 14360, 1394, 547, 519, 21554, 540, 10340, 538, 519, 11335, 3148, 269, 7216, 6694, 7239, 267, 971, 607, 519, 631, 3626, 753, 543, 29901, 523, 2801, 753, 267, 3459, 22212, 8916, 547, 1489, 741, 3395, 5095, 267, 4259, 513, 30675, 585, 2104, 4205, 1063, 3425, 543, 2470, 269, 1452, 14759, 3366, 547, 1312, 2318, 543, 2942, 4093, 267, 1519, 2799, 1426, 2504, 543, 519, 3262, 540, 12362, 2249, 780, 2026, 7507, 9782, 547, 1379, 267, 922, 8030, 2417, 12012, 519, 5251, 998, 1804, 8397, 5989, 3785, 899, 6864, 9254, 551, 338, 267, 9897, 267, 543, 12555, 1949, 269, 4936, 2853, 1185, 9434, 5222, 593, 3864, 2825, 1686, 267, 5935, 3270, 540, 2244, 946, 543, 4199, 2359, 602, 1131, 6414, 585, 5553, 269, 1717, 267, 891, 7459, 849, 5189, 1007, 2591, 267, 971, 607, 3037, 12159, 543, 17717, 267, 799, 3136, 547, 1860, 2413, 3864, 8134, 780, 4089, 476, 273, 281, 19744, 11270, 910, 15215, 267, 5303, 267, 543, 519, 7849, 2622, 692, 7628, 519, 5664, 12698, 267, 3909, 4978, 5129, 513, 1713, 1909, 538, 5935, 10120, 1004, 781, 8456, 2509, 519, 2067, 1158, 269, 3509, 10271, 9763, 2470, 607, 513, 23314, 540, 2696, 781, 5137, 267, 3056, 547, 1312, 27527, 543, 14226, 540, 519, 1604, 269, 3933, 2120, 625, 267, 538, 1880, 267, 6039, 607, 7740, 540, 1565, 543, 5647, 267, 3384, 4359, 2553, 585, 6683, 267, 26216, 267, 543, 1216, 2359, 780, 8245, 6714, 3585, 267, 7760, 538, 2029, 1282, 713, 1974, 19658, 811, 14021, 4199, 10868, 543, 2244, 14842, 269, 1280, 1383, 267, 519, 4367, 540, 5230, 726, 578, 2029, 4847, 585, 519, 14713, 540, 5892, 4608, 738, 22133, 3338, 267, 1247, 2842, 332, 1571, 543, 1216, 20253, 1564, 19117, 4853, 3157, 269, 4014, 891, 10124, 4824, 2713, 4441, 543, 2804, 2208, 267, 789, 1419, 3357, 693, 519, 13258, 540, 2825, 2298, 543, 6940, 780, 4089, 476, 274, 281, 7216, 7073, 16527, 910, 11633, 1436, 543, 4706, 8177, 593, 3864, 2037, 4921, 692, 763, 5912, 547, 4853, 11615, 1282, 519, 3735, 22733, 543, 13524, 5553, 6825, 513, 7432, 1448, 538, 3864, 2825, 1686, 269, 21826, 20012, 267, 2551, 2208, 267, 543, 9750, 2518, 4123, 22755, 13778, 3747, 585, 6151, 2326, 543, 1648, 2959, 267, 4611, 538, 7839, 7226, 9552, 267, 5533, 267, 543, 2916, 1689, 780, 10870, 531, 5599, 2488, 513, 8903, 14745, 540, 519, 2484, 23568, 4539, 540, 22713, 269, 1306, 5755, 2968, 519, 3119, 4492, 2707, 585, 15327, 267, 6283, 267, 543, 8022, 267, 5318, 2220, 23411, 540, 2244, 941, 9927, 883, 15183, 267, 7733, 941, 1579, 2117, 583, 585, 16025, 547, 4020, 9553, 14788, 338, 267, 543, 8933, 941, 26130, 609, 6757, 3653, 2472, 269, 5047, 267, 5755, 13674, 3648, 8329, 547, 8511, 3154, 5434, 267, 23960, 2518, 8337, 3466, 602, 3136, 547, 713, 1554, 780, 4089, 476, 275, 281, 3828, 12351, 11416, 910, 11094, 28073, 543, 7025, 8889, 692, 3528, 519, 2490, 540, 519, 14206, 2540, 267, 1857, 4656, 540, 20387, 2825, 2042, 19430, 519, 11944, 540, 5726, 5322, 2066, 2342, 269, 27505, 1359, 5515, 899, 3627, 16334, 597, 543, 24981, 23663, 517, 23647, 585, 8497, 29814, 19069, 2127, 267, 7863, 13155, 2249, 267, 543, 4227, 5739, 14107, 269, 4256, 3646, 9788, 519, 24536, 585, 2413, 2825, 3609, 267, 28285, 538, 19506, 9086, 971, 607, 519, 9167, 4826, 17563, 6034, 633, 543, 14844, 3120, 476, 1220, 271, 3060, 780, 8601, 891, 8441, 267, 1082, 4207, 2825, 2591, 666, 581, 14360, 1394, 547, 3140, 3270, 540, 5872, 1063, 3425, 543, 2470, 269, 1280, 3236, 267, 5571, 7226, 26610, 1813, 547, 5989, 1646, 27938, 9265, 2530, 267, 1247, 9371, 12526, 689, 2250, 4853, 2238, 5170, 547, 10460, 1072, 4220, 585, 6634, 540, 17417, 269, 4197, 891, 4296, 568, 2629, 585, 3384, 2500, 2994, 547, 2232, 2221, 781, 1034, 10296, 2825, 4145, 780, 6962, 281, 16497, 3231, 2740, 689, 3864, 7025, 3778, 692, 18698, 519, 3638, 13795, 540, 3864, 2825, 1686, 8761, 1896, 1883, 4030, 4143, 547, 1699, 5717, 827, 6940, 543, 2825, 19642, 1384, 272, 269, 18972, 723, 1279, 9168, 5054, 547, 2743, 741, 2115, 267, 1419, 609, 7096, 6286, 585, 8733, 8699, 543, 6848, 8171, 563, 273, 269, 25895, 3356, 814, 13840, 1044, 10483, 676, 2825, 12159, 267, 10223, 519, 991, 585, 6297, 7156, 540, 1761, 4539, 950, 12561, 1007, 4066, 563, 274, 269, 5398, 4656, 543, 6278, 616, 1898, 3334, 540, 3811, 2825, 4027, 7341, 267, 10771, 519, 2956, 540, 2069, 543, 23793, 538, 5807, 4264, 5615, 563, 275 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 5467, 781, 2247, 2404, 1919, 799, 1106, 1100, 3169, 14336, 800, 269, 1924, 2484, 607, 519, 2123, 4223, 843, 320, 568, 7255, 267, 519, 1390, 4032, 612, 540, 570, 19895, 1415, 814, 930, 6811, 267, 543, 649, 723, 4986, 547, 1397, 602, 16902, 990, 13860, 729, 4666, 693, 519, 942, 540, 519, 5075, 563, 2026, 547, 519, 4890, 3961, 540, 10842, 334, 781, 14799, 1765, 326, 7949, 532, 1200, 547, 723, 1044, 835, 543, 711, 1896, 1765, 7224, 835, 814, 1044, 16420, 2614, 547, 2303, 602, 24924, 19911, 549, 10842, 334, 729, 538, 2648, 609, 1010, 1378, 7385, 267, 547, 7247, 646, 1185, 1044, 12311, 4765, 610, 914, 8527, 1117, 693, 28465, 269, 6936, 267, 621, 1131, 723, 1044, 14669, 547, 519, 4031, 540, 669, 2526, 878, 2648, 267, 855, 10842, 334, 729, 711, 835, 547, 581, 3808, 676, 513, 15007, 952, 519, 627, 574, 1185, 3144, 1864, 6382, 269, 280, 634, 4901, 540, 971, 3877, 543, 6436, 568, 13777, 850, 4849, 538, 865, 2484, 607, 621, 949, 4196, 547, 3142, 721, 811, 703, 2954, 538, 5905, 609, 519, 1209, 324, 540, 23509, 543, 519, 1032, 540, 11419, 835, 8536, 1614, 4627, 563, 2026, 585, 519, 14235, 3294, 281, 594, 3494, 538, 606, 10700, 543, 6207, 11733, 607, 594, 3494, 538, 606, 6207, 3090, 610, 14165, 269, 634, 8226, 540, 519, 6457, 568, 2016, 538, 519, 2262, 267, 602, 540, 519, 4664, 538, 519, 20017, 775, 269, 898, 568, 1152, 267, 1287, 267, 538, 3501, 11733, 8678, 547, 519, 3501, 2262, 602, 519, 1079, 24670, 5075, 666, 581, 6592, 269, 594, 1131, 6010, 523, 10842, 334, 781, 20017, 775, 547, 4986, 1447, 3532, 982, 1899, 538, 29965, 781, 5373, 563, 1103, 7206, 519, 7990, 568, 2141, 13113, 269, 898, 949, 6474, 519, 7990, 540, 519, 12808, 21384, 267, 855, 621, 568, 538, 513, 1259, 16876, 1369, 519, 7406, 543, 922, 5920, 568, 9168, 676, 519, 15437, 827, 621, 269, 634, 1899, 568, 30898, 15903, 267, 621, 7436, 519, 8574, 540, 513, 3196, 267, 621, 5170, 3564, 519, 7406, 563, 305, 617, 514, 781, 3661, 602, 1648, 568, 5898, 6585, 3976, 2484, 267, 12077, 602, 782, 938, 2093, 540, 5898, 540, 1899, 616, 538, 930, 1259, 4448, 609, 938, 2093, 540, 16190, 1145, 610, 2653, 1379, 540, 5163, 267, 543, 649, 2015, 30299, 1346, 3515, 799, 598, 16694, 7938, 1752, 344, 3500, 1145, 538, 3001, 563, 305, 20263, 568, 5310, 519, 1034, 2215, 531, 540, 782, 1919, 1634, 547, 721, 269, 898, 568, 2596, 538, 6965, 543, 2575, 20102, 267, 741, 23964, 4470, 593, 513, 8390, 540, 3159, 2298, 543, 540, 12334, 6606, 267, 607, 568, 4122, 1767, 267, 855, 952, 649, 1413, 811, 5702, 649, 786, 1294, 602, 2575, 568, 267, 676, 2417, 2079, 267, 6986, 11733, 282, 11733, 543, 4986, 3116, 267, 585, 519, 8390, 540, 12334, 568, 519, 8390, 538, 18819, 540, 519, 1367, 4967, 267, 543, 10103, 519, 16471, 540, 891, 9867, 18819, 269, 1879, 649, 917, 811, 540, 936, 2023, 525, 649, 786, 1294, 602, 519, 32171, 540, 1169, 20100, 568, 6207, 267, 543, 568, 4010, 1305, 676, 930, 2417, 1876, 540, 24754, 11063, 269, 1879, 576, 621, 1058, 581, 2009, 547, 1397, 602, 1022, 2016, 11733, 10522, 827, 621, 513, 2347, 7574, 1106, 1765, 325, 1872, 826, 267, 5067, 1092, 267, 594, 3112, 2161, 1018, 1106, 267, 855, 513, 1106, 267, 3501, 267, 2347, 269, 8210, 2998, 267, 519, 11733, 1305, 538, 513, 1899, 540, 6965, 598, 17084, 922, 1623, 21620, 267, 799, 267, 1185, 649, 855, 513, 2370, 811, 5578, 267, 649, 1223, 6060, 585, 32316, 269, 1530, 10181, 584, 267, 610, 2864, 538, 652, 281, 519, 11733, 540, 1022, 19621, 1899, 14687, 547, 7553, 563, 2005, 568, 519, 10564, 781, 1870, 602, 713, 19359, 581, 3169, 267, 1775, 4318, 269, 602, 621, 581, 519, 7553, 799, 27788, 519, 2219, 6829, 269, 1280, 799, 2014, 594, 723, 1305, 1934, 10842, 334, 781, 1378, 1913, 267, 602, 1346, 1906, 540, 596, 945, 1416, 949, 1224, 538, 873, 519, 4191, 540, 1010, 21184, 269, 1635, 519, 1482, 18351, 267, 594, 2015, 2961, 706, 764, 328, 543, 23172, 821, 1025, 5684, 1335, 748, 538, 16561, 519, 2542, 454, 292, 3655, 1019, 5587, 10028, 1726, 3405, 561, 262, 732, 454, 13318, 1737, 540, 1739, 1346, 544, 1087, 269, 799, 1224, 454, 292, 3655, 1019, 5587, 527, 14504, 561, 262, 320, 518, 12152, 732, 563, 296, 723, 538, 1250, 16627, 6836, 547, 3142, 936, 519, 7907, 540, 10842, 334, 781, 11733, 267, 711, 1899, 585, 1899, 267, 855, 547, 18220, 538, 519, 2898, 540, 1250, 2296, 930, 10250, 540, 602, 1379, 799, 10522, 519, 812, 269, 634, 2257, 540, 519, 2575, 540, 1913, 543, 519, 1702, 540, 741, 9589, 7060, 814, 15468, 2476, 2094, 2367, 1045, 12097, 631, 603, 571, 676, 513, 5311, 540, 6986, 20262, 4992, 269, 2334, 972, 1522, 581, 1447, 954, 12723, 1063, 519, 5467, 543, 10842, 334, 267, 621, 729, 1250, 1101, 9837, 547, 1820, 1152, 1010, 9954, 543, 606, 796, 337, 1506, 4364, 1350, 334, 2763, 269, 901, 814, 711, 1044, 1316, 27809, 269, 594, 3112, 3972, 519, 5467, 547, 1224, 519, 7969, 585, 519, 2575, 1310, 646, 814, 1224, 519, 2296, 585, 519, 2631, 563, 4322, 616, 1100, 5067, 26506, 585, 606, 7329, 548, 5662, 269, 898, 568, 1152, 950, 519, 4664, 10668, 710, 519, 829, 21082, 7060, 602, 649, 1294, 519, 4641, 269, 898, 568, 538, 519, 1769, 4535, 540, 713, 5595, 1699, 602, 649, 1413, 2390, 519, 3068, 540, 519, 9814, 30792, 269, 594, 723, 5030, 609, 891, 5067, 26506, 543, 3440, 622, 3232, 3923, 538, 543, 3923, 856, 267, 543, 723, 1044, 3232, 6537, 4514, 883, 873, 543, 3232, 883, 31658, 540, 1919, 602, 616, 711, 540, 606, 5662, 269, 1656, 594, 632, 655, 267, 585, 713, 267, 602, 642, 16211, 5621, 686, 1093, 14024, 945, 1174, 267, 786, 2648, 803, 1732, 585, 1250, 11668, 538, 8167, 607, 596, 1224, 811, 5402, 563, 2690, 519, 1964, 267, 594, 666, 855, 10839, 606, 26195, 16211, 267, 602, 540, 10842, 334, 781, 666, 29773, 5213, 3534, 11465, 840, 8615, 912, 1320, 537, 949, 652, 979, 1028, 584, 11726, 323, 267, 1250, 2052, 29773, 267, 1733, 2416, 23524, 530, 2830, 267, 585, 594, 723, 865, 24224, 26899, 2334, 17192, 4927, 4473, 547, 26250, 16815, 7744, 11068, 782, 971, 12563, 607, 723, 4987, 282, 1677, 1796, 609, 1022, 3116, 267, 23524, 781, 339, 1100, 7287, 15301, 1015, 994, 5804, 667, 14397, 781, 623, 4026, 1807, 1470, 2473, 296, 269, 769, 12312, 26506, 543, 11831, 622, 267, 519, 7969, 1257, 540, 623, 4026, 1807, 1470, 2473, 296, 267, 476, 8064, 268, 9083, 7902, 593, 519, 2985, 6849, 519, 4098, 540, 519, 968, 7072, 3034, 13828, 21820, 540, 12312, 26506, 543, 11831, 622, 1224, 281, 968, 2507, 513, 3020, 6609, 267, 2560, 7536, 4489, 273, 590, 289, 543, 476, 4489, 273, 590, 289, 321, 281, 4111, 1878, 563, 2108, 1320, 537, 695, 5306, 1294, 519, 12345, 540, 713, 900, 10698, 2469, 909, 547, 13140, 607, 513, 28795, 30361, 540, 1769, 1848, 2107, 13059, 543, 12633, 908, 713, 1899, 609, 519, 1101, 588, 24521, 540, 519, 3440, 1092, 267, 835, 11029, 1560, 2152, 689, 519, 17534, 540, 519, 14799, 267, 689, 602, 513, 5705, 2401, 1560, 267, 543, 689, 602, 513, 1560, 540, 6986, 18723, 267, 968, 1492, 5182, 2223, 538, 799, 568, 4862, 519, 5639, 563, 4489, 273, 590, 289, 8591, 281, 968, 2507, 4075, 6681, 267, 607, 17664, 31899, 18922, 621, 3034, 4489, 273, 590, 289, 281, 968, 2507, 855, 835, 812, 3112, 581, 4397, 547, 1294, 3388, 3034, 763, 3105, 4845, 729, 3773, 538, 476, 4572, 280, 543, 729, 11840, 730, 538, 519, 1739, 4063, 281, 968, 2026, 12946, 593, 519, 2990, 540, 519, 595, 10052, 322, 21468, 267, 594, 723, 849, 2097, 593, 519, 5469, 540, 606, 2048, 514, 11584, 618, 685, 585, 1863, 532, 1978, 10437, 267, 6537, 909, 585, 595, 684, 14040, 11078, 540, 8278, 576, 4802, 4936, 334, 267, 538, 476, 14695, 276, 267, 538, 519, 2777, 540, 932, 10052, 322, 14397, 632, 932, 10052, 322, 656, 529, 269, 2048, 296, 321, 1664, 31252, 269, 595, 684, 11170, 777, 337, 9631, 30876, 632, 328, 267, 605, 1121, 2153, 324, 30682, 1273, 5142, 10200, 7536, 4489, 273, 590, 289, 321, 3568, 519, 1739, 4063, 281, 968, 8072, 305, 2867, 7595, 685, 1590, 711, 1934, 581, 6956, 538, 519, 1699, 2631, 540, 938, 1378, 1554, 269, 2048, 2750, 716, 543, 7850, 4633, 685, 1522, 581, 513, 6251, 17021, 3034, 4489, 273, 590, 289, 8591, 281, 968, 22746, 3137, 1522, 2285, 721, 835, 811, 2601, 267, 799, 941, 15988, 1663, 748, 267, 585, 519, 2463, 6976, 547, 10787, 514, 1092, 630, 14813, 1716, 334, 2473, 1040, 7536, 4489, 273, 590, 289, 543, 476, 4489, 273, 590, 289, 321, 1039, 281, 968, 292, 345, 571, 623, 895, 1315, 5437, 476, 1428, 267, 476, 4489, 271, 3034, 763, 1557, 568, 18584, 968, 21776, 476, 1428, 267, 476, 4489, 271, 892, 538, 12312, 26506, 543, 11831, 622, 267, 543, 972, 568, 1100, 2601, 547, 3494, 602, 621, 729, 711, 6192, 267, 538, 782, 30304, 267, 676, 602, 4266, 269, 623, 895, 15428, 513, 1906, 15102, 1063, 4989, 476, 4489, 273, 267, 950, 519, 11785, 7160, 540, 12312, 26506, 543, 11831, 622, 7902, 267, 543, 2904, 540, 519, 1482, 1032, 267, 950, 519, 5507, 7160, 729, 3370, 269, 1261, 3773, 835, 4845, 543, 835, 3723, 16694, 547, 519, 27367, 3296, 540, 519, 1557, 538, 476, 4572, 280, 267, 543, 713, 4528, 6368, 7902, 538, 681, 830, 538, 476, 4350, 273, 269, 634, 25927, 725, 540, 26442, 571, 623, 895, 630, 4198, 274, 264, 1065, 11781, 539, 519, 4505, 4528, 630, 5228, 519, 5507, 7160, 540, 12312, 26506, 543, 11831, 622, 1070, 855, 631, 731, 518, 4614, 580, 630, 3422, 277, 264, 1065, 11781, 539, 519, 15428, 1257, 540, 476, 4350, 273, 269, 898, 568, 519, 476, 4350, 273, 1257, 594, 1246, 1934, 267, 10916, 519, 811, 1713, 14726, 689, 4505, 8747, 538, 519, 3723, 17084, 563, 8310, 21213, 593, 2904, 476, 277, 267, 476, 1001, 276, 267, 676, 552, 24687, 32000, 269, 6478, 4032, 281, 476, 280, 1240, 454, 306, 21788, 4753, 281, 1488, 323, 11170, 821, 267, 12756, 30511, 320, 269, 968, 10817, 18480, 595, 10052, 322, 21468, 1848, 769, 634, 667, 14397, 15610, 267, 12995, 676, 9400, 700, 753, 532, 267, 6032, 269, 476, 3393, 280, 268, 8618, 269, 1715, 3840, 281, 12275, 1633, 14539, 267, 5549, 1421, 476, 1220, 271, 563, 314, 1103, 519, 1739, 1557, 267, 1488, 323, 11170, 821, 12116, 519, 2956, 540, 595, 10052, 322, 21468, 547, 667, 14397, 543, 11828, 519, 4128, 585, 519, 2736, 538, 741, 11505, 24358, 22437, 564, 543, 18211, 4531, 520, 267, 3659, 540, 667, 14397, 267, 543, 818, 4823, 2871, 1409, 267, 595, 10052, 322, 21468, 729, 4535, 1063, 476, 10219, 271, 543, 476, 10219, 276, 543, 2663, 9310, 513, 8250, 540, 10787, 514, 1092, 2554, 2993, 772, 6975, 328, 269, 1261, 7768, 835, 540, 519, 1034, 2352, 10952, 9954, 538, 519, 7969, 1893, 267, 519, 666, 29773, 5213, 3534, 803, 840, 8615, 269, 5221, 1010, 2669, 7018, 538, 4864, 476, 9873, 271, 267, 1310, 519, 535, 1112, 633, 4266, 540, 667, 14397, 781, 5075, 267, 646, 1281, 711, 2408, 538, 519, 2155, 4215, 563, 290, 10052, 322, 21468, 568, 4330, 607, 14544, 543, 1179, 592, 520, 643, 639, 2560, 14193, 2758, 527, 15384, 1875, 733, 655, 333, 754, 2801, 538, 13608, 529, 12462, 320, 1589, 518, 540, 1100, 1611, 6392, 593, 519, 2067, 9443, 14615, 676, 513, 2245, 602, 2882, 16902, 990, 28839, 543, 8606, 2089, 334, 16645, 8643, 267, 543, 676, 16902, 990, 28839, 645, 11484, 18153, 334, 607, 513, 2083, 657, 1993, 334, 2067, 324, 12462, 11499, 14544, 25257, 606, 29980, 675, 534, 267, 543, 606, 796, 29207, 591, 269, 769, 1769, 540, 715, 31651, 781, 543, 23634, 328, 781, 1271, 2090, 267, 621, 568, 7543, 2221, 547, 20912, 602, 595, 10052, 322, 21468, 781, 6965, 568, 12082, 538, 589, 591, 549, 2065, 6138, 267, 799, 3262, 998, 2342, 4098, 538, 519, 1101, 3368, 540, 519, 19412, 18818, 2540, 269, 589, 591, 549, 2065, 6138, 267, 799, 6766, 8303, 1014, 17024, 899, 590, 9528, 540, 645, 4599, 656, 267, 4425, 996, 3780, 540, 667, 29716, 267, 543, 1866, 3742, 538, 645, 860, 3534, 267, 5546, 519, 6965, 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 ]
[ 596, 267, 649, 1616, 707, 6580, 1995, 538, 519, 2622, 547, 581, 2922, 543, 1187, 269, 15012, 835, 540, 519, 1655, 1863, 2228, 6580, 3135, 1851, 824, 6580, 4609, 543, 2743, 10694, 2582, 2367, 543, 2021, 689, 1022, 851, 540, 2622, 269, 10925, 2476, 707, 5491, 6486, 269, 1411, 786, 9090, 2972, 938, 1863, 6580, 2533, 563, 26212, 547, 5250, 314, 12575, 9948, 1323, 2038, 2070, 540, 519, 4279, 8065, 2073, 1985, 547, 519, 1849, 1054, 32305, 685, 7040, 634, 6280, 779, 1686, 568, 5532, 547, 519, 1646, 540, 2274, 2644, 607, 606, 3486, 8998, 585, 519, 19135, 2872, 543, 7802, 5478, 538, 519, 2136, 8003, 1282, 519, 16972, 5736, 269, 634, 6280, 779, 5072, 666, 581, 14360, 1394, 547, 519, 5250, 540, 3506, 540, 4915, 538, 2296, 4872, 547, 4196, 519, 2489, 1857, 269, 6969, 2073, 1152, 3670, 9945, 1185, 1044, 3964, 538, 4789, 543, 12986, 281, 634, 15117, 2160, 729, 3964, 538, 25480, 538, 607, 513, 5313, 6280, 538, 519, 3345, 540, 4789, 2073, 3079, 540, 519, 2229, 6173, 908, 15083, 839, 5441, 547, 513, 6280, 543, 9886, 621, 513, 10424, 22497, 563, 302, 342, 839, 5441, 729, 519, 6852, 2852, 540, 15117, 2160, 689, 547, 6902, 538, 31920, 5441, 729, 519, 3791, 547, 6443, 519, 6280, 563, 8110, 14127, 8551, 1773, 904, 543, 7574, 338, 4279, 14364, 814, 1390, 5072, 538, 7203, 553, 7974, 269, 634, 1306, 23383, 1234, 13630, 800, 20989, 814, 513, 24974, 10639, 585, 5499, 543, 3001, 24299, 269, 901, 14364, 568, 835, 540, 519, 4102, 711, 16519, 3491, 22327, 540, 922, 2186, 538, 519, 2197, 543, 814, 1044, 513, 5614, 4580, 585, 1082, 11051, 543, 2982, 547, 979, 5196, 16340, 3118, 21239, 269, 17949, 5969, 12967, 4249, 267, 27906, 18792, 543, 17512, 881, 7574, 338, 269, 901, 14364, 3884, 1406, 519, 1152, 14364, 28379, 538, 25708, 2443, 519, 12124, 924, 20989, 267, 606, 15982, 3109, 4216, 14364, 267, 568, 25708, 779, 21777, 543, 1318, 1985, 547, 19940, 16639, 10369, 563, 9617, 513, 1906, 7161, 689, 25708, 7203, 553, 7974, 568, 519, 4639, 1723, 770, 4563, 20989, 24410, 701, 2073, 835, 540, 1152, 1079, 3318, 3109, 14364, 3549, 538, 8419, 269, 3509, 11051, 543, 957, 19843, 723, 20335, 741, 1376, 1934, 1354, 15980, 5107, 538, 16340, 3118, 24299, 267, 693, 519, 21011, 634, 732, 543, 593, 8613, 269, 25441, 1394, 547, 2073, 713, 8366, 20421, 2146, 14364, 814, 1185, 21035, 1390, 338, 5975, 974, 16026, 543, 4077, 331, 2023, 670, 652, 517, 1780, 998, 922, 9885, 269, 4329, 5045, 568, 519, 24131, 20989, 269, 19612, 607, 519, 3791, 4102, 2146, 14364, 538, 519, 8087, 2276, 543, 519, 4102, 829, 21027, 267, 519, 24131, 20989, 814, 513, 10639, 585, 1373, 1454, 811, 982, 519, 3328, 2146, 9006, 340, 576, 563, 8310, 855, 711, 2547, 267, 19748, 517, 7345, 7591, 5264, 538, 1621, 548, 6229, 568, 1776, 2146, 14364, 602, 814, 5063, 24111, 547, 2199, 1035, 8010, 563, 15578, 645, 12239, 13957, 5158, 538, 7203, 553, 7974, 454, 5804, 575, 1180, 7637, 26055, 593, 519, 23668, 543, 10918, 593, 20098, 9986, 553, 25376, 4582, 731, 547, 588, 13764, 2059, 519, 8978, 15798, 728, 1596, 523, 1228, 543, 1390, 18226, 267, 713, 1187, 2987, 7308, 1606, 684, 2749, 538, 8419, 786, 4734, 8436, 609, 9434, 8823, 269, 3371, 616, 519, 1655, 1919, 547, 798, 538, 10783, 5487, 31335, 23014, 267, 8419, 269, 4746, 1634, 607, 519, 19258, 27451, 24529, 267, 519, 24873, 16654, 2777, 729, 3710, 676, 9628, 23899, 7376, 12049, 20143, 22110, 19258, 27451, 593, 2244, 2016, 547, 1864, 676, 1010, 7385, 543, 2663, 3957, 1310, 1010, 2034, 7385, 267, 12844, 6339, 15039, 563, 16032, 5131, 25441, 26317, 4107, 540, 891, 4609, 723, 6976, 15376, 855, 607, 5018, 1657, 267, 513, 4693, 1974, 568, 3177, 269, 3767, 519, 2243, 568, 875, 547, 1265, 519, 1655, 4609, 585, 2228, 6580, 2523, 538, 513, 3510, 1141, 519, 3409, 543, 4831, 8010, 616, 519, 1931, 540, 519, 1554, 563, 763, 717, 6504, 11833, 2934, 606, 8559, 23594, 1222, 17075, 1576, 267, 2789, 2259, 2127, 267, 1989, 4068, 4055, 543, 3046, 267, 607, 1134, 607, 513, 8516, 4055, 602, 2488, 606, 5044, 540, 8516, 543, 28491, 3937, 269, 3776, 4446, 543, 6182, 4068, 18740, 3091, 513, 31858, 25271, 2070, 540, 519, 7203, 553, 7974, 7345, 14178, 883, 938, 2680, 543, 7333, 21103, 4055, 269, 901, 2070, 2488, 513, 12300, 18226, 645, 904, 728, 1995, 267, 1247, 11981, 519, 4190, 25763, 8419, 10877, 1115, 563, 4415, 28677, 5784, 267, 1799, 659, 3634, 12406, 267, 543, 513, 20498, 8630, 5264, 267, 22558, 294, 9142, 717, 6504, 11833, 568, 606, 4998, 4259, 585, 707, 2680, 269, 2060, 2789, 4055, 543, 10624, 3681, 649, 666, 4127, 617, 622, 4130, 811, 15982, 2516, 547, 1804, 4336, 2621, 269, 1284, 616, 513, 2407, 3028, 28379, 602, 568, 8149, 547, 3318, 1143, 267, 2298, 267, 543, 5963, 10531, 3028, 269, 3962, 4055, 814, 7515, 267, 23107, 267, 7544, 6989, 267, 24459, 328, 267, 543, 3280, 1062, 3769, 563, 11073, 2515, 1426, 543, 4568, 15868, 269, 2060, 936, 476, 277, 267, 4009, 3952, 538, 5870, 543, 7333, 21103, 2230, 267, 649, 616, 835, 540, 519, 4102, 5870, 28503, 538, 519, 6019, 269, 26758, 585, 1507, 9746, 4604, 11401, 610, 1804, 7523, 320, 7789, 687, 269, 0, 24357, 27913, 4855, 513, 10158, 6176, 2052, 18521, 1901, 3245, 4563, 670, 3421, 454, 24357, 27913, 15974, 513, 1007, 2186, 540, 2230, 2497, 602, 666, 1450, 1344, 547, 9101, 689, 3109, 9475, 563, 23777, 1227, 267, 835, 4337, 1149, 513, 3109, 8559, 607, 4990, 540, 513, 17254, 4842, 17184, 8486, 602, 647, 4242, 538, 3388, 1472, 621, 269, 1809, 21575, 2161, 513, 1007, 2186, 540, 2230, 2497, 568, 2009, 602, 2636, 930, 1344, 547, 9101, 3109, 9475, 563, 7093, 16227, 267, 21431, 32440, 267, 7811, 3889, 10567, 676, 519, 3069, 540, 2489, 25536, 630, 553, 18160, 7304, 4923, 13123, 1070, 723, 1044, 2808, 607, 2009, 2081, 547, 9101, 3109, 9475, 269, 1809, 519, 6323, 540, 971, 1761, 25310, 1063, 6753, 538, 2230, 6066, 2760, 533, 10165, 856, 269, 634, 21431, 32440, 1131, 12900, 5612, 2390, 8108, 269, 1924, 3744, 17695, 1242, 602, 949, 581, 930, 4359, 10340, 1223, 1265, 513, 2029, 267, 5310, 9001, 606, 16678, 1570, 547, 24644, 519, 21431, 32440, 269, 26023, 267, 6986, 1414, 30235, 563, 3719, 1631, 267, 21575, 6069, 602, 513, 1007, 1826, 540, 21431, 23346, 568, 2009, 267, 1572, 21986, 762, 269, 898, 1131, 581, 581, 1863, 540, 16678, 1570, 543, 1223, 3251, 1930, 593, 922, 1378, 563, 763, 960, 593, 21986, 762, 21431, 32440, 729, 5645, 856, 676, 623, 532, 717, 7776, 543, 12253, 808, 3530, 7685, 540, 12370, 2160, 543, 589, 1258, 9931, 540, 18628, 2160, 269, 4340, 547, 741, 476, 1001, 277, 1957, 267, 513, 1065, 14601, 2942, 1648, 666, 581, 6383, 676, 513, 2027, 7061, 4276, 1063, 519, 3109, 9475, 593, 1312, 5011, 540, 519, 21431, 23346, 269, 2060, 519, 1318, 2186, 540, 4276, 267, 1945, 1223, 979, 689, 1373, 538, 835, 3109, 8559, 883, 519, 824, 835, 563, 2252, 713, 2186, 540, 21431, 23346, 568, 2009, 267, 621, 1797, 972, 1223, 581, 954, 12542, 547, 3109, 9475, 543, 602, 596, 1223, 27985, 1205, 856, 540, 835, 543, 2661, 547, 2995, 827, 621, 563, 19950, 5944, 267, 519, 2979, 3238, 538, 519, 960, 676, 519, 21575, 593, 519, 21431, 32440, 568, 2147, 547, 519, 1184, 1572, 7061, 7658, 1636, 566, 267, 799, 666, 581, 7152, 538, 513, 2978, 563, 2080, 781, 875, 513, 21986, 762, 21431, 23346, 1131, 960, 267, 538, 513, 8642, 689, 2372, 9017, 18225, 912, 1103, 2013, 596, 2811, 11842, 267, 21986, 762, 21431, 32440, 798, 711, 3100, 547, 1599, 607, 942, 6191, 269, 13298, 789, 1489, 519, 1523, 540, 1770, 10846, 910, 602, 1100, 1344, 568, 2479, 4503, 269, 1306, 3627, 3465, 26973, 267, 513, 3109, 8559, 4274, 689, 2836, 27700, 7074, 547, 2372, 9017, 18225, 267, 519, 1007, 21431, 32440, 849, 2149, 968, 6343, 649, 1289, 2048, 18872, 8559, 9148, 10846, 16224, 799, 1797, 602, 519, 9703, 543, 16538, 540, 519, 3109, 8559, 616, 711, 2731, 1079, 1114, 1949, 855, 2864, 1079, 1360, 1114, 267, 14911, 2081, 540, 3168, 693, 519, 1482, 1062, 4799, 9199, 951, 762, 21431, 32440, 941, 2417, 8268, 538, 513, 2487, 1957, 1071, 22052, 23482, 676, 20844, 5689, 323, 659, 6511, 267, 19958, 18628, 267, 543, 2098, 1156, 16535, 18708, 563, 2005, 12217, 15663, 602, 1100, 4890, 21431, 32440, 723, 1044, 4362, 2943, 563, 13528, 518, 7022, 540, 519, 8028, 299, 308, 24385, 710, 853, 1484, 523, 11828, 2436, 938, 2486, 1058, 2141, 9718, 1863, 4633, 2924, 267, 1256, 585, 2516, 945, 1131, 28586, 971, 2924, 563, 268, 4813, 518, 8028, 299, 308, 7022, 24385, 710, 853, 1484, 523, 17358, 602, 7863, 1863, 4633, 2924, 3884, 1405, 2141, 513, 3551, 20790, 563, 268, 769, 713, 3381, 267, 853, 1484, 523, 6257, 519, 7744, 3297, 1946, 519, 8028, 299, 308, 29846, 519, 1863, 4633, 2924, 540, 29724, 9539, 1794, 529, 538, 4787, 758, 773, 267, 13325, 267, 476, 3192, 278, 563, 268, 634, 8369, 6829, 538, 713, 3381, 798, 711, 8209, 2992, 519, 5784, 540, 519, 8176, 918, 5255, 7690, 267, 799, 7512, 519, 4082, 540, 3309, 16752, 1369, 513, 2528, 540, 3540, 11407, 543, 8994, 2463, 563, 23763, 547, 581, 21273, 982, 596, 941, 19108, 286, 6258, 547, 723, 1732, 7391, 1210, 891, 476, 274, 1374, 3741, 563, 268, 1548, 568, 513, 1390, 6643, 286, 1358, 616, 519, 3283, 602, 4734, 721, 4743, 21273, 610, 811, 8049, 267, 609, 513, 2631, 602, 649, 723, 4362, 1945, 267, 6956, 1945, 827, 1776, 1268, 267, 610, 723, 1044, 13934, 563, 268, 1703, 616, 476, 274, 1374, 3741, 602, 1291, 547, 1390, 7391, 281, 21548, 267, 2565, 3206, 267, 543, 25091, 6947, 563, 268, 11879, 3206, 568, 519, 9976, 22294, 540, 12666, 1143, 267, 855, 1985, 942, 596, 2811, 538, 513, 4101, 543, 14785, 6643, 267, 2119, 547, 4497, 25091, 6947, 1932, 269, 4197, 1946, 1776, 10995, 1268, 6585, 2093, 602, 616, 693, 12918, 609, 707, 1378, 568, 1419, 811, 24084, 2287, 982, 8806, 10122, 585, 7954, 6959, 563, 288, 931, 24832, 540, 3744, 543, 8030, 723, 6069, 602, 519, 772, 2529, 269, 543, 6792, 1628, 513, 3126, 540, 9856, 539, 3859, 267, 2842, 267, 2067, 3154, 543, 964, 531, 1588, 6703, 2059, 519, 30810, 540, 519, 8473, 563, 268, 634, 11556, 729, 5063, 4843, 547, 1896, 772, 2529, 269, 2818, 540, 6837, 563, 268, 634, 1544, 1869, 7125, 585, 8473, 3354, 267, 6236, 782, 540, 519, 6703, 2059, 519, 8473, 1131, 581, 9856, 539, 543, 4448, 676, 2168, 7496, 563, 268, 898, 781, 17216, 606, 7199, 543, 7294, 11556, 267, 855, 519, 2319, 13187, 602, 8473, 4525, 616, 4998, 9634, 585, 2842, 543, 3859, 1648, 267, 543, 602, 789, 1223, 946, 519, 6009, 543, 4195, 1216, 519, 1648, 6288, 1131, 1711, 563, 763, 2601, 835, 2732, 1281, 711, 9290, 782, 949, 581, 1336, 538, 938, 575, 7491, 269, 0, 293, 1722, 568, 10795, 610, 1360, 2178, 10845, 269, 562, 10595, 12248, 454, 9515, 3458, 3139, 267, 1200, 3068, 25302, 609, 535, 1722, 543, 1928, 563, 9558, 3175, 2296, 29154, 4265, 19811, 9218, 454, 272, 10845, 267, 535, 1066, 5414, 267, 791, 564, 340, 13920, 267, 476, 790, 267, 32408, 267, 6612, 267, 30270, 267, 2699, 5134, 630, 514, 845, 531, 264, 32716, 454, 273, 7542, 6290, 267, 535, 1512, 322, 8864, 267, 3196, 267, 8515, 267, 1379, 267, 5260, 698, 2044, 267, 10335, 267, 10917, 652, 6681, 1145, 267, 31285, 267, 1654, 1335, 775, 267, 5208, 454, 274, 536, 659, 577, 14397, 267, 688, 326, 267, 22946, 13906, 267, 695, 4319, 267, 838, 527, 13933, 267, 2165, 698, 656, 267, 642, 4275, 2998, 267, 642, 1460, 523, 454, 5632, 332, 267, 9350, 1145, 267, 735, 3837, 267, 1226, 534, 14383, 267, 554, 2313, 267, 4708, 267, 4708, 6888, 267, 694, 1066, 640, 267, 1869, 1145, 267, 22471, 650, 640, 454, 12626, 19811, 9218, 910, 2296, 19655, 1299, 634, 28445, 454, 11754, 707, 7127, 538, 519, 20985, 9218, 269, 0, 32391, 2188, 585, 519, 1646, 540, 18383, 267, 824, 982, 11976, 267, 723, 711, 1044, 598, 13254, 4857, 269, 25792, 6281, 20334, 1331, 10399, 267, 5563, 267, 2732, 543, 2566, 269, 5525, 14236, 519, 1764, 540, 7296, 593, 519, 11841, 543, 10335, 540, 18383, 723, 1044, 21016, 5477, 269, 6129, 2775, 543, 27194, 616, 711, 2404, 609, 18383, 563, 25721, 878, 582, 5452, 949 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11586, 3367, 811, 454, 10955, 1189, 590, 4660, 781, 7214, 15322, 723, 3144, 1864, 1472, 519, 8608, 543, 2066, 1082, 30095, 10665, 269, 8191, 540, 454, 8660, 278, 476, 12553, 476, 1015, 11586, 3367, 811, 454, 1607, 1433, 9691, 23827, 919, 519, 960, 540, 6424, 29542, 267, 835, 540, 519, 1158, 779, 1034, 9565, 2520, 20802, 267, 543, 835, 540, 454, 278, 1789, 476, 3583, 476, 273, 11586, 3367, 811, 454, 288, 17046, 4015, 540, 3312, 3594, 593, 20210, 6214, 3245, 29542, 22447, 547, 20554, 24505, 547, 1160, 6570, 476, 279, 267, 1100, 2797, 454, 14862, 476, 1428, 476, 1015, 11586, 3367, 811, 454, 290, 9461, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 22033, 10439, 1436, 257, 607, 851, 540, 834, 28035, 1315, 5071, 267, 29093, 1299, 9012, 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, 3848, 476, 277, 281, 717, 4275, 11738, 13206, 527, 1846, 543, 24779, 18963, 692, 5970, 596, 2479, 9289, 1141, 30539, 742, 525, 2661, 610, 952, 789, 2951, 1279, 9883, 899, 930, 824, 2831, 798, 286, 4270, 267, 1577, 781, 2263, 891, 4241, 7068, 543, 1451, 827, 741, 5321, 543, 5322, 2439, 294, 4275, 742, 525, 616, 5065, 547, 4000, 267, 4481, 538, 5260, 2335, 553, 267, 26377, 267, 543, 28816, 2127, 269, 589, 5260, 13860, 568, 513, 5318, 1930, 1858, 4904, 609, 7381, 4054, 543, 6266, 540, 6371, 269, 5994, 7555, 538, 519, 1647, 540, 513, 5458, 13558, 2361, 11303, 676, 9649, 18073, 4054, 910, 602, 781, 1018, 1373, 538, 513, 5260, 13860, 7959, 899, 256, 8381, 1633, 2127, 267, 593, 519, 824, 1688, 267, 723, 16437, 518, 3529, 3382, 3379, 547, 5260, 2335, 553, 780, 3086, 602, 649, 917, 1141, 30539, 742, 525, 21078, 1577, 781, 2911, 827, 1946, 789, 3442, 891, 4025, 269, 17616, 267, 30539, 742, 525, 991, 7899, 540, 2230, 2094, 789, 616, 519, 1158, 781, 32399, 2244, 2831, 267, 8757, 15627, 909, 547, 476, 1240, 3952, 256, 19627, 267, 789, 2648, 544, 684, 4221, 593, 3762, 689, 1035, 29716, 4054, 799, 8853, 538, 971, 5054, 269, 1924, 267, 621, 2306, 3501, 2631, 585, 873, 547, 7017, 1524, 538, 9249, 10731, 609, 741, 5172, 1426, 2707, 780, 3719, 7227, 267, 972, 781, 811, 256, 9894, 596, 917, 602, 1256, 1498, 30539, 742, 525, 1810, 1405, 22109, 899, 3552, 324, 2041, 3949, 610, 18410, 30944, 267, 789, 1869, 1847, 1472, 1369, 741, 11182, 286, 1452, 9543, 23766, 2356, 3251, 1369, 741, 1753, 9832, 267, 8720, 5111, 476, 1789, 4009, 5195, 269, 1717, 267, 950, 2200, 1831, 17077, 1813, 547, 2242, 538, 2916, 610, 6735, 609, 1866, 267, 2937, 9038, 630, 21406, 13032, 338, 264, 949, 14679, 856, 2417, 10478, 585, 1007, 8513, 543, 8951, 630, 322, 3298, 6393, 19950, 5944, 267, 3744, 4362, 1945, 2189, 827, 30539, 11738, 5322, 1572, 834, 7094, 673, 29595, 1701, 4438, 713, 942, 267, 2516, 540, 4775, 30539, 742, 525, 2059, 609, 741, 15556, 17303, 4734, 741, 8912, 2039, 547, 3643, 15231, 11182, 269, 2991, 7836, 513, 7008, 540, 4374, 3695, 22928, 2250, 999, 267, 789, 2132, 1394, 1753, 269, 1215, 3579, 568, 602, 2496, 10214, 1498, 3109, 642, 30743, 5749, 1405, 4010, 1634, 585, 4687, 519, 1482, 7226, 607, 30539, 742, 525, 267, 1312, 2249, 1397, 721, 875, 22537, 543, 4199, 995, 2831, 666, 581, 950, 4466, 513, 1747, 547, 1289, 1753, 269, 3807, 899, 1346, 796, 28717, 1243, 2943, 17706, 12371, 642, 30743, 693, 519, 23291, 267, 30539, 742, 525, 849, 1265, 10103, 538, 741, 2067, 10450, 1247, 16180, 741, 5107, 538, 519, 5117, 780, 1103, 3932, 267, 1620, 519, 6208, 543, 5322, 540, 938, 4541, 781, 6909, 7320, 2337, 721, 5660, 741, 5898, 543, 4644, 1256, 811, 269, 1656, 1631, 596, 917, 782, 827, 30539, 11738, 9249, 543, 9194, 3270, 256, 9320, 835, 1554, 267, 596, 3513, 1205, 547, 7198, 891, 23836, 7068, 887, 5446, 30780, 2066, 519, 3979, 23617, 3054, 269, 14348, 333, 1405, 602, 581, 5863, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4462, 28717, 1243, 966, 30743, 3213, 1410, 626, 609, 12292, 693, 5842, 21293, 25089, 454, 4322, 642, 30743, 616, 9444, 968, 514, 15230, 892, 6862, 968, 28717, 19470, 1848, 1358, 2461, 1175, 3552, 2831, 11423, 8900, 12137, 1127, 2813, 676, 1480, 1764, 269, 898, 779, 2470, 779, 1259, 11652, 789, 1058, 581, 2451, 4805, 563, 27237, 292, 281, 901, 2022, 7620, 7902, 593, 14408, 2750, 12304, 21158, 2593, 593, 5181, 476, 1428, 267, 476, 1001, 278, 454, 5445, 14201, 1406, 14376, 267, 855, 789, 4076, 1500, 2933, 1318, 693, 1753, 269, 4563, 642, 30743, 267, 3548, 619, 540, 1286, 337, 542, 543, 4155, 26973, 267, 723, 3144, 909, 887, 739, 693, 519, 5842, 21293, 25089, 563, 4002, 1022, 2016, 1554, 267, 4856, 698, 344, 1186, 693, 7806, 639, 267, 519, 2249, 685, 3621, 2012, 267, 666, 581, 2938, 2156, 5317, 936, 3875, 9205, 15225, 267, 12212, 10825, 741, 12209, 547, 536, 7752, 538, 519, 12345, 540, 519, 3141, 269, 1358, 2461, 2938, 2921, 513, 546, 6064, 538, 519, 1216, 6420, 2282, 519, 18410, 30944, 267, 829, 3481, 593, 519, 986, 4979, 1657, 513, 7148, 597, 610, 554, 3291, 1194, 1927, 593, 513, 5394, 2845, 513, 2922, 3845, 689, 513, 562, 6260, 5681, 520, 3757, 20259, 563, 763, 8289, 540, 519, 5017, 609, 12209, 335, 753, 909, 547, 476, 276, 3952, 814, 6659, 519, 32071, 4900, 540, 811, 982, 513, 1906, 8436, 563, 306, 18588, 21701, 2893, 609, 1200, 11078, 27211, 5062, 300, 6324, 773, 543, 9393, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 294, 4275, 11738, 26335, 543, 24779, 18963, 257, 607, 851, 540, 834, 16300, 13493, 1315, 12292, 1315, 717, 4275, 742, 525, 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, 769, 519, 2796, 540, 2022, 4149, 990, 2884, 771, 650, 4288, 618, 543, 519, 4473, 540, 683, 565, 28515, 1143, 267, 713, 3296, 786, 5490, 883, 519, 1523, 540, 3397, 337, 4115, 21637, 1369, 5824, 3013, 267, 3695, 922, 3140, 4644, 267, 4720, 267, 543, 4276, 547, 4207, 14227, 2152, 269, 8528, 30399, 267, 989, 337, 4115, 6963, 7153, 607, 513, 3210, 547, 7184, 31737, 2244, 5834, 3270, 2066, 5824, 3013, 269, 901, 1184, 3459, 1282, 519, 7810, 5736, 950, 5053, 543, 14082, 20630, 832, 7856, 5318, 8778, 338, 540, 2244, 10838, 2933, 267, 2870, 513, 1062, 540, 1804, 554, 659, 328, 31789, 5249, 676, 6805, 9082, 543, 3979, 10437, 269, 3683, 942, 267, 891, 3270, 30174, 267, 4611, 538, 22880, 8635, 1063, 513, 1507, 15354, 16918, 543, 513, 7372, 6917, 896, 5035, 269, 1635, 519, 2038, 476, 736, 628, 2540, 267, 5111, 476, 272, 260, 540, 519, 2551, 11262, 811, 982, 3368, 540, 782, 27442, 1076, 2244, 538, 1896, 5824, 1977, 6082, 780, 1103, 713, 20457, 267, 989, 337, 4115, 6963, 17774, 3166, 607, 513, 3844, 4557, 564, 540, 12316, 19237, 2429, 519, 3148, 269, 28073, 899, 6792, 781, 2098, 777, 520, 626, 553, 630, 4489, 271, 1070, 18010, 781, 5147, 476, 2918, 11873, 630, 4198, 274, 1070, 543, 18475, 781, 1744, 1456, 11202, 630, 2735, 271, 264, 4857, 23799, 9084, 540, 2244, 607, 2629, 585, 9591, 2804, 5126, 543, 9758, 2797, 6041, 585, 12790, 2950, 269, 8616, 267, 741, 4485, 9867, 3648, 1759, 593, 3084, 2175, 267, 5718, 6163, 267, 543, 5007, 7506, 780, 3080, 8037, 1383, 568, 6792, 781, 9137, 476, 2767, 540, 519, 9139, 540, 476, 4489, 278, 267, 799, 3964, 1533, 1852, 936, 1016, 31542, 2200, 543, 32486, 13350, 26941, 540, 3959, 10643, 547, 2327, 12581, 3892, 540, 3338, 269, 7201, 5518, 700, 5451, 345, 16619, 595, 5451, 6113, 523, 553, 630, 4350, 275, 268, 3707, 271, 1070, 5176, 476, 736, 2929, 14143, 941, 1163, 10187, 730, 543, 23799, 30744, 547, 32066, 24625, 2510, 1634, 607, 552, 329, 573, 657, 269, 1717, 267, 7766, 6608, 2144, 10757, 891, 12374, 998, 3051, 26494, 3800, 267, 3850, 4914, 5092, 538, 1648, 9922, 267, 543, 10714, 532, 6694, 5989, 780, 290, 18866, 781, 4838, 3576, 513, 1114, 2619, 269, 11374, 674, 14988, 10011, 549, 781, 3811, 1368, 20482, 8759, 5859, 1996, 9598, 1807, 27975, 2102, 857, 334, 15506, 16695, 267, 1010, 2229, 8045, 2484, 23568, 989, 337, 4115, 6963, 4031, 538, 2904, 476, 4198, 280, 269, 1452, 3769, 1476, 4593, 566, 540, 7329, 548, 3338, 23630, 1978, 2450, 7182, 1510, 13180, 267, 10519, 20214, 585, 4557, 656, 6705, 267, 543, 5137, 540, 16581, 13870, 23101, 2510, 630, 9573, 2026, 1040, 6736, 3355, 18454, 267, 2504, 24715, 730, 1813, 547, 3668, 540, 6639, 5647, 267, 31707, 6791, 267, 543, 24539, 3889, 780, 19602, 267, 824, 6901, 609, 989, 337, 4115, 6963, 11200, 539, 11992, 538, 5824, 3013, 269, 16266, 781, 1133, 21059, 15019, 22687, 896, 30571, 2353, 29868, 13986, 16529, 2244, 15024, 1063, 476, 3192, 271, 543, 476, 3192, 274, 267, 17935, 547, 2981, 4234, 604, 1495, 3930, 883, 24339, 5597, 7307, 18497, 11396, 1572, 607, 550, 600, 1304, 657, 269, 1717, 267, 891, 3646, 8694, 23589, 569, 950, 4864, 334, 18237, 665, 2867, 25868, 1379, 538, 513, 772, 2529, 11607, 3724, 539, 19420, 546, 262, 18863, 520, 269, 6684, 267, 12832, 31804, 7699, 781, 9995, 21442, 553, 5645, 856, 1713, 2244, 23799, 1026, 1903, 1739, 1323, 770, 553, 1470, 24622, 334, 5633, 13891, 599, 548, 781, 522, 13831, 538, 476, 3192, 280, 267, 1152, 547, 1294, 873, 20328, 1310, 9561, 1379, 547, 966, 14489, 320, 16422, 528, 549, 781, 2817, 11534, 3789, 5742, 538, 476, 1960, 271, 780, 4322, 2833, 7866, 10848, 7915, 538, 7598, 989, 337, 4115, 6963, 269, 2755, 789, 1419, 6556, 2110, 3856, 2640, 971, 607, 2799, 1569, 547, 5491, 267, 11378, 267, 543, 2930, 6351, 585, 5892, 16934, 2516, 267, 1279, 3856, 6940, 3788, 21792, 269, 12694, 1331, 4187, 689, 3532, 642, 6479, 4690, 267, 13385, 12250, 1489, 267, 13438, 547, 15088, 538, 3486, 20161, 5777, 267, 543, 2825, 12159, 3361, 676, 5667, 20980, 8105, 2853, 780, 11101, 267, 683, 565, 28515, 14051, 2417, 635, 27289, 6927, 269, 2060, 2622, 7813, 543, 22558, 293, 7293, 16369, 3292, 11319, 585, 4123, 12666, 1436, 267, 632, 28832, 267, 543, 3051, 26494, 2094, 519, 476, 2735, 271, 338, 267, 1082, 2829, 723, 18202, 1394, 4505, 2244, 6963, 7341, 269, 1306, 29505, 14078, 23309, 2199, 6990, 267, 1920, 8105, 4559, 6560, 547, 14526, 267, 20872, 2527, 4683, 9194, 543, 29947, 14227, 13103, 780, 4913, 267, 972, 616, 4191, 540, 17105, 1719, 538, 11636, 989, 337, 4115, 4507, 8015, 3395, 4656, 827, 1426, 3354, 267, 2916, 1689, 17846, 267, 543, 2686, 11091, 269, 1280, 3236, 267, 8478, 781, 645, 11169, 320, 12259, 807, 1982, 10905, 6666, 19132, 609, 6484, 2069, 543, 6694, 10137, 2533, 267, 5807, 1582, 25252, 11797, 1851, 791, 1478, 1639, 3885, 1247, 5009, 4264, 6683, 269, 19452, 267, 28130, 781, 2274, 344, 2107, 326, 17505, 3821, 16948, 3288, 589, 20657, 340, 24265, 586, 2920, 783, 714, 24265, 1642, 590, 626, 9047, 715, 659, 1308, 632, 2552, 7806, 657, 623, 14243, 321, 997, 657, 16621, 1514, 5539, 7355, 883, 1857, 27147, 3157, 267, 7957, 1681, 6469, 12696, 945, 15666, 547, 4023, 4074, 4441, 543, 3235, 10999, 3280, 2853, 780, 1103, 3932, 267, 989, 337, 4115, 6963, 538, 5824, 3013, 4564, 513, 6422, 267, 15491, 7613, 8032, 676, 13346, 2797, 12798, 267, 9687, 6848, 2418, 267, 543, 2518, 2804, 4229, 269, 4706, 11972, 10083, 6013, 538, 922 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 7066, 526, 532, 595, 20975, 454, 268, 4578, 12856, 454, 268, 21952, 3590, 454, 268, 595, 14691, 454, 268, 29120, 7335, 454, 268, 772, 28903, 594, 3008, 1401, 4461, 11872, 454, 268, 3763, 518, 781, 7454, 13756, 454, 268, 5999, 543, 12226, 454, 268, 13229, 1763, 2541, 5675, 454, 268, 15679, 19877, 5999, 454, 268, 8950, 3794, 27443, 454, 268, 5808, 568, 5808, 454, 1692, 666, 594, 16289, 513, 24042, 883, 1776, 24042, 538, 5124, 888, 2791, 666, 2047, 1039, 513, 24042, 547, 1776, 24042, 1210, 513, 1341, 11346, 269, 1280, 1383, 2676, 343, 815, 630, 272, 267, 476, 273, 267, 476, 274, 264, 586, 815, 630, 275, 267, 476, 276, 264, 1535, 815, 1535, 1341, 586, 1820, 3287, 994, 1607, 786, 2285, 519, 3977, 454, 343, 815, 630, 272, 267, 476, 273, 267, 476, 274, 264, 586, 815, 630, 275, 267, 476, 276, 264, 1535, 815, 1535, 1341, 586, 454, 268, 1215, 594, 666, 6460, 513, 5124, 16515, 921, 883, 9218, 888, 268, 1215, 666, 594, 6460, 5124, 12673, 883, 24042, 888, 268, 1215, 666, 594, 10208, 24042, 540, 8913, 1255, 689, 513, 24042, 538, 5124, 888, 268, 1215, 547, 16289, 2609, 538, 5124, 24042, 888, 268, 1215, 666, 594, 798, 5124, 16515, 921, 590, 997, 532, 888, 268, 1215, 666, 594, 946, 13038, 2389, 340, 921, 538, 5124, 888, 268, 1215, 649, 666, 946, 5124, 16515, 921, 1369, 513, 16515, 921, 888, 268, 1215, 666, 594, 1711, 513, 1875, 2000, 527, 1968, 9226, 24042, 888, 268, 1215, 666, 594, 6460, 513, 5124, 24042, 547, 5569, 888, 268, 1215, 666, 594, 5581, 26134, 3688, 538, 513, 5124, 24042, 888, 268, 1215, 594, 666, 29746, 513, 5124, 24042, 538, 32227, 3898, 888, 268, 1215, 666, 594, 2099, 9226, 24042, 538, 32227, 3898, 888, 268, 1215, 666, 594, 1711, 513, 5124, 24042, 540, 1133, 545, 1712, 12673, 888, 268, 1215, 666, 594, 4894, 3688, 856, 540, 513, 5124, 24042, 888, 268, 1215, 666, 594, 6460, 513, 5124, 24042, 547, 606, 26275, 286, 0, 16498, 3797, 568, 513, 2126, 4781, 602, 814, 1044, 1472, 585, 1082, 1296, 269, 898, 2337, 609, 519, 3350, 543, 1599, 540, 1560, 269, 1411, 949, 723, 2938, 2168, 16293, 2324, 609, 2550, 538, 519, 6413, 610, 1310, 606, 8009, 267, 855, 1705, 596, 917, 602, 789, 666, 849, 948, 1004, 9156, 689, 8482, 267, 2295, 2068, 267, 610, 5761, 2068, 286, 1284, 782, 917, 602, 2168, 3797, 2337, 609, 7063, 1310, 606, 8009, 610, 5026, 5945, 267, 855, 1705, 596, 917, 621, 666, 849, 1521, 5312, 1928, 2042, 899, 12263, 543, 15790, 531, 15993, 6794, 286, 769, 713, 5816, 2022, 267, 649, 2461, 2469, 547, 2263, 476, 1691, 2640, 540, 2168, 3797, 454, 272, 269, 898, 8952, 596, 3001, 563, 16498, 3797, 568, 513, 1390, 1259, 547, 1832, 3001, 267, 2087, 707, 2949, 1072, 267, 543, 1205, 1394, 547, 707, 3339, 6296, 269, 898, 779, 849, 513, 1390, 4781, 952, 596, 4076, 1044, 29680, 585, 930, 942, 563, 16498, 16293, 616, 8036, 4648, 945, 948, 2550, 9156, 689, 7063, 610, 22919, 3350, 676, 3450, 873, 1007, 2081, 540, 3001, 267, 14304, 6091, 543, 28844, 267, 2810, 8112, 267, 543, 5355, 3666, 543, 11558, 563, 10303, 2168, 16293, 1445, 593, 5355, 10688, 998, 3635, 610, 824, 2409, 602, 798, 711, 4125, 6391, 610, 6646, 630, 7945, 607, 18552, 1070, 789, 2461, 2111, 547, 1521, 1004, 540, 782, 6502, 269, 634, 5354, 540, 1004, 945, 3643, 513, 2168, 13309, 723, 1185, 606, 5945, 602, 11151, 873, 689, 3257, 1018, 789, 7363, 2972, 3257, 1765, 1721, 1383, 281, 6972, 1510, 1928, 282, 4730, 5026, 899, 14912, 610, 17281, 282, 16246, 24383, 1510, 3478, 13110, 1360, 3533, 282, 17666, 1919, 609, 8897, 1586, 1510, 8833, 593, 1022, 851, 540, 741, 1560, 630, 10175, 7916, 1040, 4658, 945, 2731, 2648, 9205, 2238, 666, 4324, 689, 2168, 3797, 1510, 1022, 18473, 2427, 2360, 563, 273, 269, 8555, 1407, 3666, 454, 25911, 766, 568, 606, 1271, 851, 540, 4948, 1272, 269, 18696, 3322, 519, 2634, 267, 6091, 267, 10549, 267, 543, 6418, 1274, 269, 898, 2636, 596, 547, 1796, 1869, 1510, 2220, 11691, 269, 898, 2337, 596, 1847, 538, 513, 6417, 1259, 267, 2436, 596, 2461, 6972, 2066, 513, 4055, 610, 4881, 585, 707, 1272, 269, 8447, 3797, 666, 1256, 948, 2061, 8813, 676, 15603, 707, 1560, 917, 950, 547, 4188, 922, 2990, 538, 1931, 547, 3251, 20005, 269, 1403, 596, 2461, 5461, 538, 5355, 707, 3666, 543, 7303, 8813, 607, 1134, 607, 5355, 824, 3344, 540, 2168, 8647, 27137, 607, 10688, 610, 4222, 1765, 874, 9713, 3797, 949, 581, 519, 1318, 3070, 585, 596, 563, 16498, 16293, 723, 7463, 2866, 602, 2337, 873, 2697, 1761, 3123, 540, 4057, 3666, 538, 2550, 543, 1020, 2126, 4566, 1759, 593, 1346, 4681, 563, 12234, 267, 4658, 609, 519, 1739, 3666, 2175, 666, 4324, 689, 2168, 3797, 912, 1700, 7411, 4509, 741, 4099, 540, 8904, 1247, 6972, 1524, 560, 4202, 1813, 547, 4887, 8467, 593, 835, 2427, 454, 1700, 936, 25809, 566, 630, 1492, 27808, 5066, 264, 693, 519, 3723, 10880, 5123, 1282, 6972, 32376, 4783, 11775, 1813, 547, 6366, 3952, 454, 16498, 3797, 666, 2087, 741, 3666, 676, 14304, 5751, 2519, 593, 519, 2539, 17119, 640, 630, 1222, 4827, 832, 270, 629, 2265, 832, 1070, 543, 5580, 17119, 640, 630, 29019, 518, 4827, 832, 270, 611, 2265, 832, 1916, 274, 269, 898, 666, 948, 2061, 5945, 563, 16498, 3797, 568, 711, 1152, 585, 7067, 7063, 855, 585, 7303, 873, 607, 1134, 269, 634, 5751, 602, 513, 2168, 13309, 15565, 616, 2966, 547, 2087, 707, 1560, 11707, 543, 948, 596, 1174, 875, 547, 1847, 7157, 269, 2060, 2168, 3797, 267, 1004, 1294, 9283, 538, 14302, 267, 8112, 267, 543, 4222, 563, 16498, 16293, 946, 1082, 1114, 23857, 1519, 3002, 543, 4411, 3797, 630, 823, 1070, 16953, 630, 338, 895, 6329, 1070, 5122, 14242, 630, 19491, 549, 9188, 1070, 3635, 2866, 267, 543, 8261, 3797, 630, 327, 1343, 6823, 1040, 1358, 849, 4749, 6451, 1312, 3742, 2126, 23857, 6322, 693, 31925, 4887, 20817, 607, 1134, 607, 12809, 5574, 971, 607, 15198, 2553, 585, 2810, 8112, 1510, 8380, 2566, 593, 4617, 2127, 538, 1931, 585, 741, 942, 547, 12115, 5265, 269, 1635, 1818, 6091, 543, 10549, 6793, 267, 8447, 3797, 666, 2569, 519, 1981, 540, 5945, 563, 275, 269, 29452, 28509, 12128, 454, 16498, 3797, 666, 948, 1004, 4383, 741, 1973, 4006, 2157, 269, 901, 568, 1271, 1317, 1164, 1973, 4006, 2157, 666, 2333, 519, 1981, 540, 3384, 3987, 8374, 971, 607, 2295, 2068, 267, 8459, 5821, 267, 543, 8229, 3441, 563, 763, 3804, 540, 2168, 3797, 568, 547, 2569, 707, 1973, 4006, 2157, 543, 1118, 621, 4443, 585, 596, 547, 4383, 3987, 269, 901, 666, 581, 2944, 676, 1210, 3635, 13467, 602, 5818, 519, 1560, 779, 7378, 8417, 267, 2087, 10009, 547, 519, 17119, 885, 630, 327, 1343, 543, 3952, 1070, 543, 2333, 4222, 543, 16608, 269, 8447, 3797, 2640, 1346, 609, 3987, 607, 1134, 607, 1346, 609, 840, 26817, 12185, 2175, 269, 1879, 5916, 609, 6646, 543, 2732, 2242, 267, 2168, 3797, 568, 606, 1271, 851, 540, 5883, 3987, 563, 276, 269, 29452, 9156, 689, 8482, 454, 16498, 3797, 568, 513, 1883, 5057, 540, 8482, 14317, 269, 4658, 23232, 689, 513, 8482, 666, 2731, 4324, 689, 2168, 3797, 269, 2991, 513, 8482, 267, 2550, 949, 1995, 15176, 10688, 543, 4222, 267, 3666, 267, 11558, 267, 4633, 267, 610, 5042, 1599, 269, 8447, 3797, 2337, 547, 2087, 519, 1560, 779, 2702, 547, 1685, 3232, 2713, 1983, 543, 824, 2238, 540, 3232, 2713, 630, 4696, 299, 338, 1040, 634, 3804, 568, 711, 1152, 547, 22919, 4503, 1599, 855, 849, 547, 2061, 2417, 2530, 676, 5009, 2635, 6208, 538, 4948, 1272, 563, 2005, 568, 1271, 585, 2550, 609, 2022, 3613, 6593, 2175, 899, 8280, 760, 4100, 529, 630, 933, 752, 1145, 593, 835, 2427, 540, 519, 1560, 264, 610, 693, 1314, 807, 630, 335, 3233, 5179, 1852, 264, 547, 4309, 2168, 3797, 1310, 741, 3355, 6413, 3251, 814, 8694, 563, 277, 269, 28509, 5312, 2175, 899, 2295, 543, 5761, 2068, 563, 29587, 2068, 543, 5761, 2068, 616, 1079, 540, 519, 1034, 1455, 3123, 540, 2669, 538, 519, 2136, 2276, 267, 2687, 547, 519, 15509, 563, 16498, 3797, 666, 4324, 1004, 7092, 689, 1312, 2295, 543, 5761, 3676, 676, 5355, 4222, 267, 3666, 267, 8112, 267, 543, 16608, 269, 901, 666, 948, 2569, 6413, 13978, 610, 2110, 523, 6051, 2053, 1310, 6391, 563, 278, 269, 13724, 3207, 454, 1103, 1840, 547, 4543, 609, 5312, 2175, 267, 2168, 3797, 849, 2640, 1004, 609, 3207, 2152, 269, 898, 814, 1044, 1031, 547, 1521, 1004, 609, 3207, 19103, 630, 320, 2783, 1141, 606, 1367, 779, 7244, 568, 29169, 1282, 3207, 1040, 3958, 267, 676, 5883, 1928, 998, 2168, 3797, 267, 3207, 2298, 568, 8850, 4824, 563, 279, 269, 898, 568, 707, 835, 3613, 641, 6300, 585, 1928, 2359, 563, 16498, 3797, 568, 513, 835, 3613, 641, 6300, 585, 1928, 2359, 269, 634, 2168, 16293, 723, 519, 2866, 543, 1995, 547, 948, 596, 4383, 1928, 543, 9156, 689, 6391, 267, 5026, 7063, 267, 543, 1286, 10913, 269, 1358, 786, 849, 948, 596, 2057, 2104, 1072, 2042, 676, 1565, 5751, 602, 7794, 6091, 543, 2569, 4745, 6553, 269, 10266, 2359, 568, 1419, 11855, 607, 835, 540, 519, 1034, 1455, 2640, 540, 2168, 3797, 563, 280, 269, 2052, 9004, 519, 991, 585, 6391, 454, 16498, 3797, 666, 948, 2569, 519, 991, 585, 6391, 269, 8447, 16293, 666, 946, 513, 3099, 540, 2553, 547, 7794, 6091, 543, 10549, 538, 519, 1560, 269, 1452, 2553, 1331, 15198, 5751, 267, 3002, 3797, 267, 543, 5122, 14242, 269, 901, 949, 1450, 9319, 519, 991, 585, 6391, 15587, 563, 1015, 269, 16797, 518, 6051, 689, 6391, 454, 2252, 596, 4076, 1185, 6391, 267, 2168, 3797, 666, 948, 596, 9156, 5488, 269, 769, 1249, 267, 2168, 3797, 568, 606, 1898, 851, 540, 1022, 10551, 6051, 1544, 563, 16498, 3797, 2337, 2550, 22919, 4222, 543, 2039, 540, 5163, 1310, 6391, 269, 8447, 10657, 849, 2640, 2550, 676, 5355, 16608, 865, 789, 666, 16056, 2834, 3232, 2238, 19692, 982, 789, 1131, 6382, 581, 2111, 547, 269, 1280, 1383, 267, 950, 2576, 814, 513, 12597, 10682, 543, 2168, 3797, 568, 16516, 5612, 26063, 267, 519, 3461, 786, 723, 513, 10156, 942, 2394, 646, 610, 1352, 666, 3802, 1510, 1928, 610, 9636, 982, 952, 1100, 2168, 3797, 941, 3177, 563, 1556, 269, 898, 1281, 711, 1331, 1279, 3856, 6646, 946, 610, 8213, 563, 16498, 3797, 568, 513, 1875, 14428, 29108, 1670, 1935, 547, 1928, 2359, 269, 769, 824, 1913, 267, 3079, 540, 13461, 593, 6527, 543, 5061, 899, 17414, 6950, 267, 2168, 16293, 3343, 547, 1265, 952, 972, 616, 1022, 5817, 2042, 602, 666, 581, 22621, 269, 1280, 1383, 267, 952, 513, 3461, 814, 1970, 1394, 1928, 267, 646, 610, 1352, 949, 723, 4057, 12048, 10688, 799, 1223, 2014, 519, 1850, 6091, 547, 936, 1740, 1282, 2238, 971, 607, 6972, 610, 4881, 269, 634, 13309, 786, 1287, 960, 609, 519, 3461, 547, 2953, 1010, 17017, 14302, 543, 7794, 1010, 17017, 4295, 6091, 865, 602, 621, 3085, 1406, 4755, 1586, 563, 1321, 269, 29452, 609, 5312, 1928, 899, 12263, 267, 543, 15790, 531, 15993, 454, 268, 16498, 3797, 666, 948, 2569, 519, 1928, 2404, 609, 15790, 531, 15993, 563, 268, 2005, 666, 948, 2569, 519, 1928, 2404, 609, 12263, 563, 1700, 8447, 3797, 666, 948, 2569, 519, 1928, 2404, 609, 1394, 1928, 563, 16498, 3797, 666, 849, 7494, 6175, 8405, 543, 5580, 1394, 20765, 267, 799, 568, 1390, 952, 596, 723, 3983, 14302, 610, 6108, 513, 2603, 540, 942, 9361, 538, 4395, 540, 513, 2780, 610, 6117, 563, 1724, 269, 29452, 9156, 689, 513, 5026, 5945, 454, 16498, 3797, 666, 948, 9156, 689, 5026, 7063, 269, 898, 666, 948, 609, 513, 3099, 540, 5026, 5829, 7063, 267, 1519, 838, 11712, 17094, 956, 267, 13105, 7063, 267, 543, 12597, 1928, 563, 16498, 16293, 616, 8036, 547, 946, 513, 3099, 540, 2126, 2553, 547, 948, 596, 1205, 1134, 5488, 610, 1256, 2061, 7063, 689, 8345, 538, 519, 1101, 1747, 269, 1452, 1331, 912, 268, 15015, 3797, 1107, 7575, 707, 1560, 883, 519, 1697, 2990, 1210, 707, 13309, 779, 3946, 610, 2571, 5160, 2645, 454, 268, 15765, 3635, 1107, 3096, 3350, 547, 11177, 1599, 547, 707, 6091, 998, 5751, 602, 616, 2189, 547, 707, 2783, 454, 268, 16811, 13310, 1107, 3096, 2027, 3937, 971, 607, 25329, 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 ]
[ 2016, 547, 596, 2429, 1169, 1554, 593, 11418, 1247, 596, 616, 3843, 547, 2628, 3007, 547, 960, 267, 1514, 2358, 610, 824, 6209, 4247, 563, 2521, 547, 581, 17411, 676, 1447, 3834, 539, 543, 10565, 8747, 540, 519, 3377, 563, 10287, 519, 2199, 3377, 602, 949, 1360, 1134, 581, 811, 4143, 547, 707, 3232, 1272, 563, 6701, 811, 3222, 540, 519, 3929, 1543, 540, 3292, 596, 4585, 543, 741, 1860, 707, 7099, 267, 8401, 1062, 543, 3206, 269, 6496, 621, 1745, 899, 811, 4143, 1344, 6035, 9350, 569, 543, 1249, 1302, 610, 1281, 621, 1745, 811, 3834, 539, 267, 10565, 543, 1799, 1468, 547, 707, 7525, 1158, 286, 0, 2791, 786, 581, 14281, 547, 917, 602, 711, 782, 2477, 1289, 519, 12566, 20625, 607, 1323, 11446, 269, 769, 1249, 267, 621, 568, 513, 5824, 2262, 799, 1797, 968, 18090, 20625, 6100, 563, 8368, 540, 12937, 454, 1692, 3509, 18831, 11910, 25882, 20625, 1323, 11446, 286, 1107, 13565, 5999, 454, 1432, 4654, 1289, 12566, 20625, 606, 11446, 888, 2304, 11446, 568, 519, 5053, 2262, 585, 12566, 20625, 630, 1492, 4829, 1070, 543, 519, 2262, 2048, 18090, 20625, 685, 3294, 2501, 689, 519, 5053, 2262, 269, 634, 2262, 2048, 534, 11446, 685, 568, 1031, 538, 1896, 1114, 4654, 267, 1519, 25227, 267, 16528, 267, 21785, 267, 20636, 267, 19360, 545, 267, 4436, 267, 22341, 267, 14082, 267, 9721, 267, 30355, 752, 267, 16231, 267, 10089, 326, 4115, 267, 6739, 267, 15349, 267, 23826, 267, 16130, 267, 19446, 267, 15622, 8932, 267, 918, 2335, 3385, 267, 20052, 30253, 267, 3057, 27821, 267, 23951, 330, 8643, 267, 16429, 327, 8403, 267, 2667, 1868, 324, 267, 24414, 267, 14570, 1014, 267, 20474, 267, 11114, 267, 19176, 267, 5487, 334, 267, 8738, 332, 3150, 267, 21487, 267, 22105, 11530, 267, 808, 24170, 3150, 267, 30017, 267, 543, 9931, 3150, 269, 898, 779, 849, 519, 2262, 1031, 585, 519, 5182, 4829, 267, 799, 568, 513, 1114, 4829, 602, 666, 581, 1336, 782, 936, 5607, 543, 519, 12144, 10756, 1432, 2477, 1289, 12566, 20625, 12566, 20625, 888, 1805, 9792, 569, 2614, 267, 1152, 1079, 2477, 3277, 547, 519, 4829, 607, 12566, 20625, 269, 5637, 540, 873, 616, 538, 519, 1482, 851, 540, 519, 1158, 281, 16127, 543, 22728, 28573, 269, 634, 1964, 782, 1289, 621, 676, 922, 3312, 2012, 10756, 3963, 798, 865, 1082, 4654, 1289, 12566, 20625, 606, 11446, 888, 296, 6557, 27378, 596, 2461, 6998, 267, 1317, 519, 2262, 968, 2304, 11446, 892, 568, 519, 1483, 2262, 269, 968, 2304, 11446, 892, 543, 968, 2304, 11446, 635, 657, 639, 5608, 610, 968, 18090, 20625, 5608, 616, 1079, 1114, 1919, 269, 968, 2304, 11446, 892, 568, 513, 2262, 689, 519, 570, 664, 334, 1893, 267, 519, 14316, 602, 20948, 519, 12144, 10195, 950, 18332, 19090, 8452, 972, 538, 476, 14983, 273, 269, 769, 476, 14983, 274, 267, 646, 4547, 519, 1101, 12566, 20625, 547, 2342, 689, 519, 6532, 540, 2871, 12818, 537, 701, 269, 1879, 519, 5053, 13896, 538, 6239, 543, 3162, 3013, 4862, 827, 519, 12566, 20625, 267, 789, 1572, 621, 968, 534, 11446, 6100, 634, 12566, 20625, 729, 1287, 5189, 547, 824, 3864, 4654, 267, 543, 519, 2262, 968, 2304, 11446, 892, 4682, 609, 621, 10756, 1432, 568, 519, 3017, 1063, 606, 11446, 543, 12566, 20625, 888, 303, 710, 1952, 956, 616, 5065, 547, 3162, 3013, 1247, 606, 11446, 616, 5065, 547, 3162, 5101, 5607, 269, 25882, 1952, 956, 723, 533, 4459, 569, 3762, 1247, 606, 11446, 723, 5347, 3762, 10756, 3674, 1323, 11446, 513, 5824, 2262, 888, 763, 2262, 968, 2304, 11446, 892, 568, 540, 570, 1575, 328, 8566, 340, 541, 8643, 5169, 267, 799, 568, 1893, 540, 519, 570, 1575, 328, 8566, 340, 541, 8643, 6805, 1004, 540, 8478, 269, 634, 2262, 968, 2304, 11446, 892, 568, 540, 519, 570, 1575, 328, 8566, 340, 541, 8643, 1893, 1920, 269, 3509, 540, 519, 1913, 538, 713, 1893, 941, 3144, 676, 14082, 25501, 1472, 519, 1032, 476, 5611, 271, 543, 16487, 547, 519, 1007, 1158, 269, 8409, 1482, 1913, 941, 849, 16487, 547, 519, 13372, 267, 799, 6941, 1946, 519, 2262, 585, 12566, 20625, 538, 27208, 568, 968, 301, 11446, 6100, 563, 1432, 568, 519, 2495, 1323, 11446, 888, 2304, 11446, 568, 519, 32204, 2012, 585, 12566, 20625, 269, 634, 2012, 12566, 20625, 568, 2016, 547, 519, 4829, 1317, 540, 922, 11696, 28917, 547, 519, 12566, 13409, 267, 799, 568, 1634, 607, 519, 12566, 4829, 267, 23608, 689, 922, 5824, 2012, 18679, 1432, 568, 519, 5169, 540, 519, 2262, 12566, 20625, 888, 303, 710, 20625, 568, 5065, 547, 3162, 3013, 267, 1141, 621, 729, 16916, 538, 8478, 538, 519, 476, 1626, 628, 2540, 269, 898, 1274, 985, 922, 2012, 689, 519, 11696, 28917, 540, 922, 4829, 547, 519, 12566, 322, 821, 269, 7982, 538, 519, 476, 1626, 628, 2540, 267, 17417, 2808, 621, 547, 581, 606, 16678, 2030, 267, 543, 1572, 621, 968, 534, 11446, 892, 538, 741, 5065, 11469, 267, 799, 538, 2490, 568, 519, 2262, 585, 968, 18090, 322, 821, 892, 538, 741, 1893, 269, 2991, 8757, 2342, 267, 519, 2012, 3893, 27571, 883, 922, 1459, 1106, 10756, 3963, 798, 789, 1289, 12566, 20625, 11197, 888, 5591, 267, 972, 568, 1100, 968, 25585, 892, 827, 621, 269, 634, 12566, 20625, 568, 851, 540, 519, 28538, 7942, 611, 1920, 267, 865, 922, 1483, 2012, 568, 606, 11446, 635, 657, 639, 1547, 898, 568, 1152, 1572, 968, 18090, 20625, 892, 1317, 519, 17145, 540, 519, 4829, 16919, 899, 513, 4999, 540, 12566, 267, 11945, 267, 543, 1368, 6072, 2507, 782, 3688, 602, 5949, 547, 581, 3833, 726, 550, 3814, 538, 519, 12144, 3148, 1282, 519, 6520, 540, 16709, 269, 898, 568, 519, 1152, 17580, 4759, 540, 519, 12566, 20625, 1920, 267, 799, 568, 3957, 1310, 519, 3337, 540, 519, 4829, 10756, 1432, 4654, 946, 1323, 11446, 888, 2304, 11446, 568, 513, 2489, 26928, 5752, 1893, 267, 799, 568, 1373, 2919, 676, 513, 2319, 540, 3173, 267, 1053, 267, 543, 12439, 693, 31257, 631, 749, 517, 2160, 269, 898, 568, 2966, 547, 581, 5393, 2653, 547, 946, 267, 1256, 585, 30497, 23501, 267, 1247, 849, 4758, 3532, 10342, 547, 4966, 269, 898, 568, 1930, 21299, 267, 543, 729, 2919, 538, 851, 1813, 547, 519, 3173, 685, 1995, 609, 519, 2311, 558, 5752, 1893, 267, 799, 568, 849, 1930, 21299, 269, 1323, 11446, 568, 6026, 538, 606, 15938, 1576, 693, 18328, 308, 267, 855, 621, 814, 849, 1044, 1031, 538, 13460, 693, 519, 1164, 17469, 1377, 10756, 1432, 616, 12566, 1952, 956, 1572, 538, 2342, 888, 763, 2262, 12566, 20625, 12090, 538, 476, 1691, 628, 2540, 2342, 267, 1141, 621, 729, 1101, 5219, 547, 607, 606, 11446, 2073, 799, 3357, 689, 519, 570, 1575, 328, 2262, 6289, 553, 269, 898, 729, 2663, 1572, 14039, 29823, 632, 1473, 525, 267, 2495, 968, 18090, 540, 519, 12075, 5608, 610, 3274, 533, 2088, 269, 634, 2165, 12566, 20625, 538, 2296, 729, 1101, 6592, 538, 476, 14917, 275, 267, 950, 519, 4829, 729, 5189, 883, 519, 12144, 676, 5053, 13896, 10756, 3674, 1323, 11446, 513, 16130, 2262, 888, 5591, 269, 634, 2262, 2048, 2304, 11446, 685, 568, 711, 16130, 269, 2048, 2304, 11446, 685, 568, 6508, 689, 519, 14082, 2262, 2048, 3570, 10722, 3873, 685, 543, 519, 5053, 2262, 2048, 534, 534, 27222, 9957, 1323, 11446, 568, 513, 12593, 540, 476, 1428, 2249, 540, 2927, 1746, 2371, 538, 519, 1920, 645, 668, 20782, 576, 2801, 269, 1323, 11446, 635, 657, 639, 568, 519, 1034, 1455, 543, 20749, 1271, 2249, 540, 519, 12593, 269, 4706, 2249, 2012, 267, 635, 657, 639, 267, 1797, 968, 14654, 1111, 539, 892, 538, 5824, 269, 898, 568, 606, 28033, 2030, 609, 513, 887, 3553, 974, 540, 1804, 267, 4158, 3039, 3762, 267, 543, 513, 2582, 17657, 547, 5529, 676, 513, 13862, 540, 1804, 3762, 543, 519, 5810, 543, 5613, 269, 898, 568, 513, 21064, 267, 855, 568, 6738, 543, 19122, 607, 513, 1395, 665, 1886, 269, 898, 7472, 513, 1804, 15496, 6565, 630, 320, 15554, 13183, 1756, 264, 909, 547, 476, 274, 10264, 630, 271, 269, 11011, 544, 264, 1279, 543, 5627, 1082, 5810, 269, 634, 5810, 616, 3812, 693, 519, 1439, 540, 519, 15496, 6565, 543, 616, 19882, 538, 513, 1804, 4870, 2803, 12412, 10756, 1692, 1082, 4654, 972, 616, 538, 519, 1158, 888, 2005, 568, 6059, 602, 972, 616, 476, 277, 267, 4335, 1114, 4654, 538, 519, 1158, 2221, 269, 9282, 267, 972, 616, 711, 476, 277, 267, 4335, 1114, 4654, 267, 2864, 476, 277, 267, 4335, 8390, 540, 4654, 269, 1280, 1383, 267, 4457, 814, 2854, 3197, 267, 855, 972, 616, 693, 2547, 2185, 2101, 22463, 540, 9275, 4457, 269, 6684, 267, 1082, 4654, 540, 23577, 545, 5169, 540, 2342, 630, 21691, 880, 267, 16231, 267, 30355, 752, 267, 5395, 15487, 267, 23886, 1014, 267, 6215, 8576, 1014, 267, 24765, 20897, 267, 18548, 333, 1014, 267, 6739, 267, 9487, 3757, 1014, 267, 3092, 4700, 616, 782, 22463, 540, 519, 1482, 1893, 540, 23577, 545, 5169, 267, 855, 789, 616, 711, 2808, 5094, 4654, 1317, 789, 616, 20102, 4111, 1043, 907, 0, 29730, 8663, 545, 5135, 3797, 630, 295, 289, 5588, 264, 5161, 540, 1210, 540, 6986, 5135, 693, 2799, 2604, 630, 514, 2489, 267, 476, 273, 268, 274, 4694, 12742, 264, 3056, 547, 21284, 5135, 2157, 538, 519, 1973, 630, 29730, 2135, 8598, 264, 543, 5160, 630, 29730, 2135, 807, 1040, 634, 2799, 2604, 543, 5135, 6915, 822, 22355, 1522, 581, 1644, 547, 513, 30162, 540, 3156, 267, 3226, 538, 3834, 16464, 4525, 267, 849, 11851, 532, 21734, 267, 6375, 558, 617, 17419, 543, 2587, 328, 8328, 3601, 267, 1851, 1866, 269, 769, 713, 2689, 267, 649, 786, 1865, 538, 1469, 519, 12214, 10083, 540, 5135, 543, 519, 519, 7764, 673, 4493, 540, 670, 289, 5588, 267, 10655, 1699, 23053, 543, 5817, 6127, 269, 5015, 267, 1761, 2127, 540, 1382, 786, 849, 581, 8947, 267, 1519, 12982, 543, 11528, 32277, 625, 267, 5046, 268, 866, 543, 2860, 269, 7053, 267, 519, 8801, 2360, 543, 15333, 785, 10716, 2404, 609, 713, 3797, 543, 2104, 8846, 540, 1382, 786, 581, 2808, 269, 15788, 267, 649, 5000, 2417, 1382, 538, 713, 2361, 547, 8831, 519, 2009, 3096, 540, 713, 5650, 269, 634, 10014, 540, 670, 289, 5588, 538, 2104, 4791, 1382, 1223, 581, 606, 3606, 1489, 538, 519, 4791, 2359, 540, 2789, 2619, 3098, 563, 21292, 281, 27649, 8376, 268, 866, 630, 26542, 268, 866, 5148, 15214, 2135, 807, 282, 21734, 3601, 282, 5409, 8663, 545, 5135, 3797, 630, 295, 289, 5588, 5148, 10138, 7067, 269, 0, 2691, 729, 519, 1101, 10859, 2389, 30638, 11827, 888, 290, 548, 22093, 3520, 1088, 612, 31566, 20536, 12138, 654, 15586, 568, 4922, 20295, 609, 6427, 532, 519, 10859, 2389, 30638, 538, 476, 6245, 279, 267, 543, 4421, 1010, 1101, 14475, 10859, 2389, 30638, 538, 476, 6245, 280, 563, 1432, 568, 10859, 2389, 30638, 2110, 585, 888, 763, 2626, 568, 7168, 2241, 281, 10859, 2389, 30638, 610, 10859, 568, 2965, 2110, 585, 10859, 13652, 8814, 14903, 269, 634, 968, 9895, 328, 892, 851, 540, 519, 2140, 814, 4986, 547, 798, 609, 519, 2450, 540, 519, 2462, 6551, 267, 855, 3388, 547, 798, 609, 1018, 519, 8778, 528, 568, 17444, 3297, 621, 563, 3963, 616, 782, 8778, 528, 13009, 619, 476, 7871, 3952, 1279, 888, 763, 6093, 3345, 1977, 14770, 779, 5493, 2280, 568, 476, 4366, 6279, 1279, 676, 476, 2412, 6279, 2647, 269, 1306, 13009, 619, 8057, 538, 2450, 789, 1131, 1419, 798, 865, 693, 23385, 540, 476, 275, 3952, 269, 4495, 1346, 6042, 941, 4957, 267, 519, 2872, 7550, 519, 476, 7871, 20356, 911, 8814, 269, 1452, 723, 4055, 585, 476, 1724, 9343, 540, 533, 24548, 267, 7132, 543, 3063, 3723, 865, 602, 519, 7450, 786, 2673, 563, 1432, 729, 519, 1101, 6216, 540, 10859, 14903, 888, 1492, 654, 15586, 16359, 2961, 5846, 7577, 540, 25350, 454, 5978, 1101, 23266, 568, 20295, 585, 519, 1101, 10859, 13652, 8814, 14903, 269, 769, 476, 6245, 277, 267, 12138, 654, 15586, 4682, 883, 519, 1870, 540, 968, 1817, 1088, 612, 1286, 17699, 892, 538, 25350, 267, 11882, 269, 3571, 2754, 267, 519, 654, 15586, 16359, 2961, 5846, 7577, 540, 25350, 267, 4421, 741, 1101, 476, 2420, 6517, 538, 476, 6245, 279, 267, 543, 519, 6517, 2877, 547, 581, 9447, 547, 741, 18046, 563, 8489, 729, 519, 1101, 10859, 14903, 11827, 888, 1432, 729, 12054, 328, 22427, 1188, 11827, 585, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]