Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 20710, 3101, 713, 7934, 4564, 513, 2629, 4161, 585, 1312, 4081, 22602, 543, 4853, 9439, 7567, 780, 28343, 2941, 565, 2096, 619, 8858, 1950, 18212, 1670, 5615, 31827, 689, 741, 21712, 3919, 543, 6422, 30337, 906, 896, 5007, 15128, 269, 13018, 267, 789, 4159, 14733, 8833, 2182, 2287, 2390, 1804, 22775, 725, 267, 8915, 532, 607, 513, 8101, 2333, 538, 2566, 2838, 547, 2226, 3586, 8833, 2557, 269, 901, 7613, 24865, 689, 519, 15198, 543, 12972, 540, 8465, 11800, 2059, 2095, 3515, 267, 3056, 547, 8476, 4187, 1996, 2417, 23673, 269, 5015, 267, 3625, 2941, 565, 2096, 619, 949, 849, 8858, 19852, 6512, 532, 267, 13296, 22297, 4525, 540, 1164, 8833, 30598, 7258, 2127, 540, 30050, 22636, 267, 28285, 538, 26945, 2095, 3270, 780, 9556, 9934, 6348, 15035, 6250, 1723, 601, 2880, 640, 538, 13332, 10515, 565, 2096, 619, 692, 290, 2194, 1005, 519, 32330, 2934, 540, 3625, 2941, 8432, 1067, 6384, 19329, 973, 6847, 547, 4359, 7587, 5737, 4834, 5827, 540, 10503, 741, 8984, 1875, 3530, 710, 20517, 543, 9687, 2890, 560, 4450, 269, 2290, 7986, 5943, 3322, 14139, 8544, 657, 7051, 13502, 1759, 593, 26632, 894, 9325, 6384, 630, 7894, 291, 264, 13745, 609, 21432, 3766, 11712, 3196, 4610, 8051, 585, 14479, 10148, 13684, 676, 32128, 7554, 16046, 19635, 7161, 269, 3958, 267, 6220, 11385, 908, 8652, 323, 3428, 923, 6087, 4977, 6041, 540, 19857, 1790, 8432, 1067, 4205, 543, 2488, 3407, 4030, 883, 7293, 4720, 1282, 4393, 4238, 780, 26581, 7434, 10241, 540, 13332, 10515, 565, 2096, 619, 281, 10312, 593, 5253, 3163, 692, 19741, 4909, 3621, 7279, 267, 3625, 2941, 565, 2096, 619, 1265, 7839, 10626, 538, 3875, 6639, 5749, 553, 267, 3226, 1369, 519, 1426, 5823, 269, 4256, 4390, 547, 20206, 3634, 6915, 5562, 7135, 3091, 513, 9621, 28627, 585, 7393, 8770, 6765, 1949, 1247, 8195, 8497, 1587, 8699, 2429, 5663, 5933, 543, 4859, 5712, 269, 5047, 267, 3625, 2941, 565, 2096, 619, 262, 7113, 762, 28772, 12950, 10305, 11904, 873, 5078, 10457, 585, 8888, 17580, 8874, 1439, 15735, 609, 4824, 7344, 4222, 267, 5135, 11064, 3601, 267, 543, 6417, 5305, 737, 27282, 269, 9182, 267, 891, 3209, 30422, 17362, 519, 1259, 2509, 4264, 11183, 3435, 15095, 609, 9764, 4346, 3741, 780, 3519, 6984, 3816, 10225, 692, 9961, 713, 11407, 267, 649, 24389, 2390, 606, 30405, 3460, 883, 519, 9159, 5251, 540, 3625, 2941, 565, 2096, 619, 267, 21986, 532, 741, 5888, 267, 10282, 267, 2497, 267, 543, 22357, 1471, 1723, 601, 2880, 2623, 269, 13966, 2515, 7234, 1533, 6361, 7308, 19603, 9781, 4485, 267, 649, 12006, 6932, 3156, 17640, 547, 519, 1426, 2872, 1107, 20515, 875, 13654, 8906, 829, 3712, 622, 883, 4052, 10124, 29103, 1359, 6848, 10304, 269, 18391, 6619, 267, 621, 3587, 7805, 602, 3625, 2941, 565, 2096, 619, 4927, 3136, 30939, 4099, 3942, 538, 5935, 2104, 7835, 2066, 3309, 10459, 267, 7551, 25967, 1681, 519, 14063, 2956, 540, 5807, 5571, 9541, 538, 2596, 1382, 6322, 693, 21264, 532, 741, 5817, 13655, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 9501, 292, 7732, 3568, 5215, 540, 4574, 267, 14245, 267, 4760, 5618, 338, 543, 6592, 1357, 21577, 689, 519, 1655, 8186, 538, 519, 1773, 10415, 12752, 269, 1975, 8911, 3592, 1079, 5756, 267, 713, 4015, 540, 3370, 1382, 543, 1646, 960, 538, 12249, 2257, 543, 15229, 2029, 568, 513, 5763, 540, 1702, 543, 1344, 585, 4896, 3238, 538, 15229, 563, 763, 6268, 543, 1646, 540, 24019, 3631, 585, 519, 22357, 1471, 1723, 601, 2880, 630, 12717, 264, 2623, 540, 2326, 568, 606, 1271, 1858, 540, 1382, 799, 814, 1764, 593, 513, 1297, 540, 4853, 3157, 1519, 1346, 538, 519, 1426, 2872, 269, 15316, 22357, 966, 292, 3631, 723, 1044, 2919, 936, 519, 1296, 543, 11117, 585, 19386, 2861, 22169, 282, 2705, 267, 938, 1620, 540, 519, 22357, 966, 292, 2623, 540, 18465, 565, 2096, 619, 540, 4853, 1104, 561, 4711, 938, 1620, 540, 10991, 22169, 269, 769, 519, 960, 4080, 23954, 267, 519, 22357, 966, 292, 2623, 540, 7080, 5014, 630, 736, 4939, 676, 2597, 538, 632, 542, 1242, 1216, 264, 540, 1219, 520, 1540, 27046, 7912, 267, 27046, 4839, 267, 24061, 7912, 267, 543, 27046, 7912, 941, 1775, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 28343, 10515, 565, 2096, 619, 257, 607, 851, 540, 834, 306, 11799, 1315, 8212, 1315, 12443, 1067, 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, 17138, 281, 1215, 547, 5269, 2659, 22458, 1975, 1731, 344, 692, 7072, 912, 288, 2151, 1324, 838, 1731, 344, 4552, 568, 513, 1390, 1259, 547, 1039, 930, 6316, 543, 7209, 547, 707, 1413, 269, 901, 688, 1009, 1803, 666, 581, 13680, 610, 6101, 267, 4470, 593, 519, 8317, 269, 898, 781, 1898, 547, 723, 519, 1318, 2645, 267, 2472, 267, 543, 2553, 547, 1711, 1134, 20452, 267, 1257, 3293, 26389, 602, 2063, 782, 1554, 269, 3371, 781, 606, 538, 3829, 3391, 593, 1818, 707, 4552, 838, 1731, 344, 780, 1262, 28830, 596, 3513, 991, 26279, 272, 269, 19331, 601, 454, 273, 269, 10395, 630, 325, 710, 3562, 582, 1117, 994, 274, 269, 22458, 804, 26802, 610, 23805, 454, 275, 269, 22458, 5969, 1309, 701, 610, 2025, 24621, 454, 276, 269, 22458, 18908, 1782, 1587, 630, 326, 601, 267, 14589, 267, 533, 558, 1228, 267, 610, 6775, 994, 277, 269, 19257, 2928, 454, 278, 269, 4826, 10936, 11480, 454, 279, 269, 13158, 2389, 841, 2036, 630, 28436, 2020, 1262, 3721, 476, 272, 281, 19369, 12533, 310, 1662, 707, 4552, 8499, 1210, 31576, 5622, 543, 30690, 269, 11162, 4552, 6585, 6163, 1732, 982, 18660, 610, 522, 1176, 4552, 269, 2991, 11067, 267, 9900, 1273, 707, 4552, 609, 513, 24621, 2394, 621, 781, 14927, 855, 711, 865, 1136, 6632, 269, 3680, 27012, 707, 4552, 25525, 3585, 607, 713, 949, 2014, 3441, 543, 2003, 3960, 1465, 780, 265, 7659, 9133, 17041, 589, 1507, 2179, 540, 7509, 786, 948, 3180, 519, 26389, 538, 1747, 1247, 7303, 7050, 3819, 1145, 602, 1223, 1291, 547, 2736, 720, 780, 1262, 3721, 476, 273, 281, 14419, 519, 3259, 12533, 13356, 728, 593, 519, 3259, 540, 707, 26389, 1759, 593, 2123, 13283, 543, 3068, 3337, 269, 1280, 10156, 26389, 267, 2015, 16013, 2719, 707, 4552, 609, 804, 26802, 610, 23805, 269, 1403, 18516, 827, 5969, 707, 1378, 4552, 267, 3343, 3318, 6351, 689, 513, 3046, 828, 610, 18935, 626, 780, 265, 28223, 17041, 1744, 7163, 8188, 4324, 689, 3476, 26389, 267, 6466, 3476, 8188, 9290, 10156, 3283, 269, 15331, 609, 1114, 13080, 547, 1265, 1018, 1568, 1655, 585, 596, 780, 1262, 3721, 476, 274, 281, 8791, 532, 12533, 19667, 728, 707, 4552, 883, 6810, 1210, 513, 2036, 269, 8073, 8880, 851, 1431, 4358, 693, 519, 13862, 540, 707, 2212, 543, 2324, 1524, 2072, 2509, 519, 562, 1901, 269, 3973, 267, 7941, 891, 6810, 2417, 676, 2870, 7299, 851, 902, 689, 835, 1274, 547, 1776, 269, 27116, 1005, 1142, 3296, 609, 24056, 786, 1118, 7311, 519, 18908, 1782, 1587, 811, 19242, 780, 265, 31738, 17041, 2422, 513, 3731, 2389, 841, 2036, 585, 5730, 851, 902, 952, 2139, 780, 1262, 3721, 476, 275, 281, 16792, 18908, 1782, 1587, 12533, 16521, 513, 5078, 4552, 18908, 1782, 1587, 2687, 547, 707, 4552, 1826, 543, 5551, 1377, 540, 19542, 269, 717, 1564, 1683, 2178, 3180, 543, 1164, 19542, 282, 14589, 525, 2709, 5420, 3180, 543, 1970, 19542, 282, 533, 558, 3547, 5838, 9793, 3180, 543, 5420, 19542, 282, 11103, 2285, 6109, 3180, 543, 1319, 974, 9096, 269, 15233, 513, 546, 830, 13355, 2179, 540, 519, 6074, 1587, 5196, 707, 13869, 543, 900, 6160, 1518, 14961, 1063, 1312, 3946, 269, 4518, 519, 1587, 998, 707, 4552, 267, 2519, 593, 1367, 22204, 2864, 982, 804, 7927, 269, 3399, 693, 519, 1394, 540, 707, 2212, 543, 1847, 4464, 780, 265, 7659, 9133, 17041, 10815, 568, 811, 950, 621, 2501, 547, 7311, 18908, 1782, 2472, 269, 3683, 4777, 532, 621, 1522, 1267, 538, 13888, 267, 6067, 6470, 23302, 4552, 269, 5410, 811, 1587, 2663, 952, 2877, 780, 1262, 3721, 476, 276, 281, 12861, 26389, 12533, 9359, 8108, 26389, 1210, 707, 11263, 610, 513, 2036, 269, 4964, 1524, 16119, 593, 519, 3490, 540, 1142, 21782, 267, 1287, 12740, 20733, 547, 5581, 922, 3337, 269, 17797, 519, 3259, 543, 5086, 540, 1142, 21782, 2687, 547, 707, 6010, 532, 269, 19244, 713, 1184, 2066, 782, 6810, 540, 707, 4552, 780, 265, 28223, 17041, 5901, 26389, 2673, 1927, 585, 513, 2407, 518, 5920, 543, 20991, 6306, 585, 513, 31933, 518, 1413, 780, 1262, 3721, 476, 277, 281, 17553, 519, 2511, 12533, 5629, 596, 2811, 13854, 609, 519, 13307, 543, 3337, 540, 707, 26389, 267, 21066, 5134, 873, 609, 1216, 1210, 513, 10936, 11480, 269, 901, 786, 1305, 519, 688, 1009, 1803, 543, 3986, 922, 15325, 269, 4676, 1778, 689, 15700, 707, 4552, 23494, 267, 607, 713, 666, 7519, 519, 11460, 540, 519, 26389, 543, 2014, 873, 547, 6336, 741, 3337, 780, 265, 31738, 17041, 2961, 787, 519, 1216, 10936, 11480, 609, 596, 2429, 519, 1554, 547, 2746, 10675, 519, 688, 1009, 1803, 8164, 2556, 780, 1262, 3721, 476, 278, 281, 15937, 2638, 12533, 2750, 8533, 707, 8737, 1413, 538, 4395, 540, 513, 11604, 269, 6744, 585, 1022, 30065, 24827, 610, 19514, 26389, 602, 2154, 16369, 269, 5269, 2386, 519, 2949, 3666, 543, 15340, 616, 25685, 780, 265, 7659, 9133, 17041, 8617, 5826, 568, 2629, 585, 4509, 838, 1731, 344, 4552, 269, 21480, 6296, 959, 15501, 1169, 2185, 4374, 547, 2226, 3259, 543, 2061, 8237, 7475, 780, 6962, 912, 4415, 2259, 543, 9639, 267, 8236, 838, 1731, 344, 4552, 3587, 4443, 936, 942, 269, 1635, 1739, 713, 3102, 5850, 267, 596, 3513, 581, 2111, 547, 1711, 513, 31042, 543, 1196, 4445, 688, 1009, 1803, 602, 7140, 9843, 269, 5457, 2141, 547, 3442, 3617, 2472, 267, 1902, 538, 2298, 2645, 267, 543, 2226, 2834, 20499, 609, 513, 9952, 18935, 626, 585, 6099, 2164, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 13014, 707, 22458, 1975, 1731, 344, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 3848, 476, 277, 281, 8490, 26504, 543, 11154, 532, 547, 7827, 692, 16908, 568, 2407, 540, 26208, 1765, 16341, 616, 6126, 8090, 267, 1247, 1866, 949, 4161, 721, 269, 4804, 875, 547, 11883, 609, 891, 22705, 543, 17498, 568, 1898, 585, 782, 540, 721, 267, 2523, 1282, 938, 18295, 1296, 950, 649, 3068, 1082, 2242, 693, 1753, 267, 1153, 267, 543, 1369, 6000, 269, 901, 3184, 786, 948, 596, 1174, 1079, 4105, 1983, 281, 4742, 811, 14388, 543, 15268, 547, 1689, 269, 2913, 781, 1376, 676, 3695, 1018, 789, 1611, 780, 1262, 1432, 1281, 621, 1611, 547, 581, 19419, 6579, 296, 7728, 15140, 5331, 952, 596, 1185, 513, 12285, 6512, 282, 1100, 2339, 875, 2182, 596, 7485, 621, 267, 621, 2141, 536, 25555, 1394, 547, 922, 3312, 3337, 269, 3807, 899, 602, 12285, 6512, 267, 1373, 14388, 1797, 2348, 519, 2702, 547, 9156, 3533, 1310, 6849, 7965, 610, 9157, 3871, 269, 1879, 1945, 4101, 4523, 267, 14388, 1004, 1522, 1745, 13347, 267, 8909, 267, 610, 18901, 267, 855, 789, 1810, 1405, 2285, 909, 3362, 269, 5502, 267, 789, 1265, 2081, 547, 1832, 3001, 4464, 267, 1451, 689, 741, 2833, 267, 543, 1332, 6793, 1142, 942, 780, 1262, 1692, 666, 594, 1831, 27749, 19419, 6579, 296, 7728, 15140, 2080, 616, 930, 4388, 547, 1628, 6043, 1384, 272, 269, 2878, 26835, 2318, 5093, 5901, 22348, 3054, 602, 1919, 786, 1205, 1732, 5555, 269, 10312, 593, 707, 9342, 543, 18517, 3079, 540, 23029, 593, 14286, 563, 273, 269, 2878, 21010, 609, 1866, 5093, 9523, 707, 4606, 609, 11967, 2828, 267, 1920, 2818, 267, 610, 3610, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 634, 4155, 568, 2696, 779, 786, 585, 707, 1272, 269, 634, 4155, 786, 2490, 543, 6335, 267, 855, 3571, 1544, 786, 581, 12913, 563, 23005, 1456, 2696, 779, 4024, 585, 2659, 5020, 454, 1432, 568, 519, 786, 540, 2696, 585, 707, 1272, 286, 1548, 616, 519, 6302, 540, 519, 4155, 286, 1358, 616, 2947, 12799, 7150, 968, 342, 1571, 540, 2696, 892, 2016, 547, 721, 538, 519, 1715, 11620, 269, 634, 1101, 835, 568, 602, 2696, 6499, 3025, 547, 581, 16770, 6986, 630, 272, 634, 1087, 531, 517, 2103, 476, 275, 281, 274, 268, 279, 1040, 2334, 1797, 1261, 6499, 721, 547, 25176, 689, 4638, 21359, 269, 19627, 267, 2696, 6499, 10271, 547, 581, 4904, 609, 519, 10513, 13336, 630, 22977, 1127, 2103, 476, 276, 281, 1704, 268, 1240, 1040, 4746, 267, 519, 1353, 968, 18661, 779, 4024, 1107, 2142, 674, 2683, 2060, 634, 13336, 892, 786, 581, 5363, 269, 12059, 267, 2696, 6499, 10271, 547, 1174, 602, 621, 568, 3571, 786, 585, 21071, 547, 7985, 630, 272, 8834, 476, 275, 281, 866, 1040, 19549, 267, 2696, 6499, 721, 547, 2285, 7064, 2141, 585, 3388, 630, 272, 634, 1087, 531, 517, 2103, 476, 276, 281, 1240, 1040, 7831, 267, 2696, 13821, 721, 547, 10505, 547, 707, 2229, 630, 272, 8834, 476, 273, 281, 1724, 268, 1428, 1040, 1280, 513, 2110, 1353, 827, 873, 267, 1224, 968, 1692, 547, 21813, 547, 5700, 2696, 779, 4024, 892, 543, 968, 5353, 22701, 2696, 779, 4024, 3034, 2252, 649, 1616, 547, 917, 3571, 786, 585, 938, 2729, 267, 649, 1590, 1376, 609, 1018, 649, 917, 547, 581, 3571, 786, 269, 1284, 1590, 1616, 3571, 786, 547, 581, 2944, 538, 938, 2729, 269, 3973, 2696, 3947, 721, 519, 9153, 538, 25360, 916, 476, 4391, 281, 275, 267, 602, 938, 2295, 779, 7287, 786, 581, 13854, 269, 589, 1353, 540, 713, 14235, 543, 519, 2947, 1634, 968, 342, 1571, 540, 2696, 892, 607, 2907, 5018, 786, 581, 6045, 538, 811, 1469, 538, 16418, 532, 2696, 779, 4024, 269, 1411, 786, 1265, 621, 5363, 538, 1620, 519, 786, 540, 2696, 811, 563, 763, 786, 540, 2696, 568, 3388, 602, 2696, 13821, 610, 16858, 547, 4755, 538, 13140, 543, 593, 3618, 563, 272, 269, 9478, 8361, 774, 9707, 267, 589, 5259, 30165, 22858, 6625, 540, 519, 1715, 11620, 269, 22489, 1299, 29564, 1421, 476, 6642, 280, 267, 476, 26326, 563, 22296, 2248, 539, 25103, 281, 299, 867, 781, 27302, 454, 306, 1069, 517, 593, 519, 6778, 454, 5353, 22701, 2696, 779, 4024, 454, 1692, 547, 21813, 547, 5700, 2696, 779, 4024, 454, 18661, 779, 4024, 1107, 2142, 674, 2683, 2060, 634, 13336, 0, 763, 1158, 814, 6603, 513, 2565, 1102, 3005, 1448, 269, 1284, 991, 547, 6385, 2539, 2518, 3327, 5434, 1247, 3246, 5150, 1648, 585, 938, 3864, 16167, 945, 616, 733, 2056, 609, 519, 2360, 540, 519, 12907, 2782, 269, 634, 1434, 3377, 568, 602, 519, 2475, 814, 519, 2556, 2200, 547, 2743, 1312, 16839, 676, 13143, 532, 15777, 5277, 2067, 3154, 630, 299, 7582, 1916, 763, 3983, 3377, 568, 602, 1247, 2475, 2200, 616, 726, 550, 3814, 267, 519, 2197, 3112, 13143, 607, 1454, 5277, 2067, 3154, 630, 299, 7582, 264, 607, 2877, 1317, 540, 16283, 5989, 547, 1489, 18246, 6928, 906, 269, 1717, 267, 513, 3070, 593, 519, 16880, 568, 1373, 23503, 538, 6115, 1318, 1631, 563, 763, 15783, 585, 19663, 700, 7582, 1401, 7964, 454, 4785, 2067, 3154, 2504, 814, 1044, 1147, 3101, 585, 5176, 1079, 5756, 7064, 547, 6639, 8441, 267, 971, 607, 8880, 17656, 543, 17453, 9808, 9535, 267, 543, 2810, 3747, 585, 513, 14949, 4492, 602, 568, 1454, 15777, 982, 8781, 5755, 269, 3683, 602, 1974, 267, 519, 2475, 814, 6913, 513, 3140, 476, 1704, 260, 7771, 538, 2475, 8511, 3154, 5434, 676, 15175, 689, 5755, 547, 2067, 3154, 1247, 3246, 13778, 1942, 9806, 585, 6800, 563, 3519, 14287, 267, 519, 12907, 2112, 814, 5063, 1305, 938, 3864, 16167, 1394, 689, 5870, 741, 2916, 3853, 607, 6576, 2759, 1055, 2067, 3154, 7727, 267, 543, 741, 5755, 946, 814, 1147, 3022, 269, 1677, 948, 519, 9167, 1205, 1394, 593, 3950, 267, 519, 26844, 547, 17372, 6820, 2506, 3827, 630, 5183, 12283, 264, 5063, 1558, 609, 3864, 3401, 547, 1865, 3435, 547, 3728, 13652, 1188, 519, 10682, 540, 5755, 609, 2539, 15041, 9231, 2475, 2067, 3154, 543, 948, 1683, 1648, 3354, 547, 519, 11782, 563, 2026, 19264, 26513, 9400, 27450, 28588, 267, 5853, 532, 30626, 540, 519, 9533, 7027, 6820, 6052, 4741, 267, 12662, 621, 267, 834, 763, 7245, 2115, 547, 5693, 24808, 519, 1909, 540, 19100, 3812, 3154, 607, 606, 5745, 2401, 540, 519, 3039, 5912, 543, 922, 1279, 3856, 2956, 538, 2518, 1232, 12365, 1436, 543, 1648, 3354, 3646, 269, 27029, 1432, 568, 670, 13783, 519, 2475, 7982, 888, 763, 3597, 540, 519, 1966, 568, 513, 991, 585, 6190, 5989, 4390, 547, 11694, 938, 2200, 543, 2743, 6800, 262, 1648, 2115, 269, 11086, 267, 519, 2475, 1590, 4225, 9750, 2067, 3154, 5989, 267, 27983, 267, 543, 13143, 23525, 547, 948, 2327, 811, 10097, 267, 6325, 267, 543, 1970, 2173, 996, 2033, 3154, 2504, 543, 6765, 563, 25387, 267, 519, 2475, 2067, 3154, 18180, 3060, 21018, 2066, 5111, 476, 274, 2929, 5195, 540, 14099, 267, 543, 607, 540, 476, 1708, 272, 267, 621, 20205, 827, 476, 2767, 269, 277, 18265, 12945, 3952, 630, 307, 22396, 264, 540, 3154, 547, 827, 476, 6507, 269, 278, 2929, 6800, 269, 901, 2179, 7561, 7727, 6800, 609, 2067, 3154, 267, 543, 27983, 616, 849, 519, 32343, 954, 8063, 6283, 1505, 3379, 547, 824, 6765, 12331, 971, 607, 7841, 267, 536, 1618, 267, 543, 14903, 563, 19013, 267, 713, 18180, 3060, 3112, 18113, 1489, 2221, 781, 3747, 585, 2067, 3154, 563, 27001, 476, 1001, 271, 543, 476, 1708, 273, 267, 3747, 585, 2475, 2067, 3154, 2799, 676, 476, 6321, 10065, 1635, 6476, 267, 2475, 18180, 4390, 814, 6738, 676, 1175, 476, 2767, 9077, 1247, 938, 4390, 547, 4558, 700, 7582, 814, 24111, 676, 1152, 476, 1321, 18336, 2414, 1118, 6927, 8338, 267, 519, 2475, 568, 7487, 922, 10545, 954, 8063, 2067, 3154, 18180, 4390, 2333, 538, 936, 1079, 5756, 269, 769, 476, 1708, 273, 267, 972, 729, 606, 2333, 540, 1175, 476, 8660, 278, 2929, 12945, 3952, 829, 1554, 630, 12613, 22396, 7933, 1070, 607, 10353, 547, 476, 1001, 278, 267, 799, 4810, 513, 2594, 2333, 540, 476, 2764, 267, 31239, 631, 10157, 325, 7933, 563, 21413, 5989, 1646, 267, 649, 3112, 13143, 2614, 700, 7582, 547, 938, 16167, 547, 5372, 5755, 543, 15655, 13463, 8283, 3154, 6165, 689, 2477, 899, 6576, 269, 3776, 17418, 547, 1683, 513, 15777, 1648, 4244, 547, 5230, 15041, 9231, 4525, 1797, 513, 2565, 991, 6818, 547, 24644, 519, 1648, 6433, 563, 2171, 4718, 519, 4539, 540, 713, 538, 2342, 2063, 1032, 267, 1141, 2477, 2799, 5755, 2504, 543, 16865, 811, 6739, 700, 7582, 547, 2743, 741, 1648, 2115, 269, 901, 2339, 10419, 18050, 1312, 2518, 1648, 22584, 543, 2916, 1689, 563, 18719, 1324, 543, 4414, 324, 975, 532, 3776, 24486, 454, 293, 6136, 267, 972, 616, 2312, 3268, 519, 2475, 666, 1491, 547, 1332, 938, 1699, 5989, 543, 6038, 5818, 700, 7582, 18666, 269, 1306, 513, 1101, 1900, 267, 649, 1590, 4228, 5101, 11076, 5989, 4481, 269, 29630, 807, 568, 1753, 547, 930, 540, 3345, 3013, 781, 1034, 30508, 543, 1970, 21057, 3154, 2200, 563, 288, 811, 1713, 5092, 883, 713, 3148, 666, 13497, 948, 2569, 7082, 5777, 543, 1118, 2067, 3154, 513, 811, 6325, 543, 10097, 1648, 2707, 563, 1103, 1840, 267, 649, 991, 547, 1628, 811, 27983, 602, 21825, 1569, 13840, 9207, 6269, 29736, 3747, 7740, 269, 1284, 4718, 513, 991, 585, 713, 538, 476, 1001, 279, 267, 950, 513, 834, 321, 4861, 7814, 821, 257, 3361, 2475, 5777, 547, 865, 541, 1813, 547, 13385, 3154, 3761, 267, 8506, 519, 1104, 566, 540, 6739, 700, 7582, 269, 1284, 1223, 723, 17251, 713, 2339, 693, 1454, 1447, 1942, 998, 3152, 1569, 547, 29630, 807, 2864, 982, 711, 528, 13124, 15655, 6122, 21294, 6739, 3154, 563, 3528, 5355, 543, 556, 16467, 532, 938, 2067, 3154, 5989, 267, 649, 666, 2327, 602, 649, 666, 1683, 811, 10097, 267, 6325, 267, 543, 15777, 3154, 547, 938, 16167, 543, 1934, 693, 1753, 585, 5481, 547, 2097, 563, 2171, 10261, 6115, 547, 2920, 454, 4407, 972, 616, 9541, 519, 2067, 3154, 2872, 666, 1118, 267, 519, 5168, 568, 602, 649, 849, 991, 14519, 538, 6115, 547, 1394, 28498, 6963, 865, 649, 666, 2490, 713, 5075, 883, 4641, 269, 6052, 3785, 666, 1491, 1296, 547, 4309, 13170, 267, 543, 11995, 4031, 7057, 2417, 8488, 543, 3006, 26699, 2565, 18180, 1646, 563, 763, 3668, 540, 1569, 547, 513, 7123, 1648, 2707, 568, 4929, 938, 16167, 547, 556, 3200, 547, 5755, 543, 15655, 13463, 8283, 3154, 267, 1818, 621, 12303, 7543, 547, 3035, 938, 2518, 2916, 3853, 269, 898, 781, 538, 6837, 262, 3946, 1107, 3246, 513, 13374, 585, 15777, 4492, 2959, 267, 899, 1970, 15041, 3827, 2067, 3154, 267, 538, 1747, 540, 13897, 1512, 3029, 540, 1648, 786, 948, 2232, 519, 2916, 6433, 543, 11177, 1648, 3354, 269, 0, 305, 5819, 15636, 23307, 25052, 15117, 25395, 1007, 2249, 540, 13271, 910, 28342, 984, 2801, 30950, 320, 5657, 10044, 454, 288, 2487, 7634, 540, 10070, 540, 13271, 28342, 984, 2801, 30950, 320, 538, 9576, 15636, 23307, 25052, 15117, 779, 2817, 4173, 321, 10740, 540, 15117, 814, 8507, 538, 1915, 5314, 540, 519, 1007, 2249, 267, 28342, 984, 2801, 30950, 320, 5657, 10044, 563, 303, 12065, 984, 2801, 30950, 320, 568, 513, 10355, 11402, 25487, 12593, 269, 1703, 616, 1100, 1654, 2812, 543, 865, 519, 2898, 838, 1681, 1560, 568, 540, 2864, 2241, 4070, 269, 7756, 2249, 538, 519, 12593, 1413, 2864, 2147, 538, 519, 2361, 267, 1419, 15454, 880, 563, 303, 12065, 984, 2801, 30950, 320, 5657, 10044, 568, 519, 1152, 3957, 2249, 538, 519, 12593, 9672, 689, 5245, 693, 1459, 1107, 1317, 623, 269, 561, 5446, 2023, 18424, 267, 4330, 1896, 5756, 3516, 689, 24368, 267, 538, 1249, 12851, 538, 519, 1920, 589, 3258, 545, 19687, 563, 763, 2249, 2012, 5657, 10044, 729, 6074, 609, 519, 6876, 540, 519, 31005, 1014, 16971, 10418, 543, 519, 5493, 11867, 737, 8643, 5678, 5358, 269, 769, 5493, 11867, 737, 8643, 267, 519, 1893, 540, 31005, 1014, 2806, 10594, 1149, 267, 5657, 10044, 568, 519, 2012, 540, 519, 13535, 517, 5211, 267, 519, 1858, 1141, 519, 1826, 15013, 630, 7474, 568, 519, 19671, 585, 519, 2012, 264, 729, 6394, 563, 763, 1382, 729, 3366, 676, 15656, 30621, 267, 23649, 540, 9576, 15636, 23307, 25052, 15117, 779, 13343, 4024, 529, 4841, 1222, 267, 945, 32524, 609, 19279, 966, 2795, 534, 267, 717, 732, 628, 29385, 543, 25867, 1763, 26421, 26831, 3220, 8751, 2904, 269, 6004, 966, 2795, 534, 3812, 6094, 6810, 540, 519, 838, 1681, 4703, 543, 6004, 29385, 5833, 5027, 9696, 269, 634, 4999, 540, 1344, 689, 2890, 2173, 6973, 1108, 543, 5027, 9696, 4847, 519, 1007, 2249, 547, 581, 13747, 689, 1896, 824, 2249, 540, 28342, 984, 2801, 30950, 320, 2943, 547, 581, 18005, 4330, 689, 5245, 563, 8072, 296, 723, 2141, 1044, 8049, 827, 519, 2249, 1472, 803, 269, 634, 1053, 1222, 814, 9280, 803, 609, 17170, 1007, 1983, 585, 25643, 543, 2369, 2358, 13271, 16224, 1767, 6004, 30621, 563, 6097, 547, 3220, 2904, 2048, 11004, 616, 5215, 540, 2249, 540, 8241, 13271, 32261, 6101, 20803, 543, 1082, 616, 2907, 6394, 543, 4371, 538, 1187, 29333, 9957, 1261, 1767, 267, 2048, 301, 5446, 2249, 10741, 9885, 269, 4495, 513, 2249, 568, 3957, 267, 649, 666, 960, 593, 922, 7350, 543, 14498, 538, 513, 10956, 762, 6073, 17483, 763, 1007, 2249, 729, 4330, 538, 8241, 4750, 540, 12525, 16860, 267, 513, 1007, 2228, 4760, 13991, 547, 1007, 2249, 540, 8241, 2831, 267, 13271, 543, 2371, 563, 26261, 2140, 281, 30621, 267, 590, 1421, 966, 2795, 534, 267, 700, 12282, 1421, 29385, 267, 717, 6185, 269, 1299, 2904, 267, 570, 15030, 269, 630, 1708, 274, 1040, 28342, 984, 2801, 30950, 320, 5657, 10044, 630, 293, 2426, 328, 281, 589, 3258, 673, 525, 264, 9241, 4330, 689, 7013, 5245, 269, 8241, 4750, 540, 12525, 16860, 476, 2190, 281, 476, 272, 1700, 1626, 563, 2690, 2417, 1344, 267, 979, 547, 281, 4179, 2517, 4178, 6745, 1314, 16860, 320, 20624, 3820, 28898, 270, 318, 325, 3796, 270, 1872, 323, 270, 274, 322, 275, 323, 7906, 318, 1691, 323, 274, 25900, 4375 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 8738, 330, 2088, 674, 553, 334, 267, 594, 341, 800, 11076, 267, 570, 690, 334, 267, 19892, 5174, 1170, 879, 267, 5484, 514, 267, 5689, 328, 267, 20997, 543, 7354, 20235, 563, 763, 11247, 568, 11495, 543, 5036, 891, 4871, 17084, 1851, 519, 1034, 4190, 538, 519, 1158, 269, 634, 7376, 568, 623, 1512, 4958, 974, 19681, 6975, 267, 945, 2919, 519, 1148, 585, 3875, 4871, 17084, 269, 272, 454, 1103, 519, 4282, 4099, 568, 513, 20879, 1159, 601, 1154, 2030, 563, 4002, 519, 9258, 540, 938, 4871, 16694, 649, 616, 5701, 547, 513, 6093, 2199, 2344, 6429, 563, 763, 24495, 545, 1242, 1257, 2630, 568, 3144, 7357, 689, 9504, 630, 10915, 2397, 693, 1439, 264, 543, 568, 538, 713, 3896, 585, 4704, 563, 10527, 4639, 3979, 595, 11902, 21473, 322, 630, 311, 29996, 264, 568, 1634, 538, 3943, 607, 519, 8071, 595, 11902, 267, 1141, 595, 11902, 6763, 585, 4004, 2246, 2946, 1710, 534, 857, 27056, 546, 685, 17682, 686, 4302, 12462, 26296, 7991, 540, 4000, 14615, 610, 4004, 2246, 2946, 5685, 534, 857, 27056, 2455, 12578, 12462, 28893, 11038, 7991, 26158, 898, 568, 9783, 676, 519, 14514, 288, 302, 630, 289, 534, 4302, 2578, 337, 1446, 964, 27878, 339, 1846, 632, 561, 685, 17682, 686, 4302, 632, 561, 685, 302, 340, 652, 267, 1775, 4318, 1421, 968, 23338, 7813, 540, 519, 4639, 3979, 2276, 25257, 4092, 538, 667, 752, 541, 267, 7354, 20235, 267, 585, 519, 5216, 2477, 540, 519, 772, 4932, 29151, 630, 4462, 542, 27878, 1595, 1664, 1696, 3933, 2946, 3279, 790, 744, 340, 652, 2455, 12578, 267, 1775, 4318, 1421, 968, 26156, 3979, 9483, 543, 3933, 8767, 5742, 892, 2567, 5484, 514, 8738, 330, 2088, 674, 553, 334, 19892, 5174, 1170, 879, 594, 341, 800, 11076, 5689, 328, 20997, 7354, 20235, 570, 690, 334, 1452, 5216, 2477, 723, 513, 5916, 2551, 540, 476, 9083, 269, 276, 2929, 1004, 630, 553, 540, 476, 1001, 274, 1070, 543, 513, 5916, 12654, 540, 2475, 259, 4281, 269, 275, 5479, 630, 553, 540, 476, 1001, 273, 1040, 892, 272, 454, 763, 4871, 17084, 3622, 8415, 519, 1482, 2592, 1312, 593, 519, 4395, 543, 519, 1394, 269, 634, 2197, 540, 1615, 340, 766, 568, 30753, 676, 513, 2197, 3009, 267, 513, 2582, 4484, 269, 634, 2197, 9479, 616, 607, 5205, 912, 288, 1107, 594, 341, 800, 11076, 454, 289, 1107, 5484, 514, 454, 290, 1107, 8738, 330, 2088, 674, 553, 334, 454, 291, 1107, 5689, 328, 454, 295, 1107, 20997, 454, 298, 1107, 7354, 20235, 454, 307, 1107, 570, 690, 334, 454, 306, 1107, 19892, 5174, 1170, 879, 454, 1607, 595, 11902, 21473, 322, 24865, 538, 5484, 514, 269, 634, 2197, 3009, 593, 519, 4395, 540, 519, 4871, 16694, 267, 1283, 1318, 7944, 543, 2539, 2451, 267, 6920, 713, 269, 634, 2197, 9479, 616, 607, 5205, 281, 589, 1107, 594, 341, 800, 11076, 282, 645, 1107, 5484, 514, 282, 595, 1107, 8738, 330, 2088, 674, 553, 334, 282, 667, 1107, 5689, 328, 282, 670, 1107, 20997, 282, 918, 1107, 7354, 20235, 282, 570, 1107, 570, 690, 334, 282, 590, 19892, 5174, 1170, 879, 269, 272, 454, 763, 1101, 1079, 9704, 540, 519, 17626, 1297, 5815, 519, 1032, 519, 4871, 16694, 729, 9783, 269, 901, 4871, 16694, 729, 9783, 538, 476, 1960, 275, 563, 763, 595, 11902, 21473, 322, 729, 5189, 538, 476, 3707, 276, 269, 634, 4484, 968, 298, 17729, 7466, 593, 519, 4395, 540, 938, 4871, 16694, 568, 519, 23243, 1665, 602, 14439, 7354, 20235, 607, 519, 2197, 540, 5169, 269, 634, 824, 2477, 4687, 519, 595, 11902, 21473, 322, 267, 609, 741, 7114, 7436, 616, 281, 595, 20110, 974, 546, 685, 296, 17383, 790, 1315, 594, 341, 800, 11076, 968, 288, 31865, 5484, 514, 968, 289, 31865, 8738, 330, 2088, 674, 553, 334, 968, 290, 31865, 5689, 328, 968, 291, 31865, 20997, 968, 295, 31865, 570, 690, 334, 968, 307, 892, 543, 19892, 5174, 1170, 879, 968, 306, 6100, 7354, 20235, 267, 607, 7150, 267, 814, 968, 298, 892, 607, 519, 7114, 1665, 269, 272, 454, 763, 1394, 540, 938, 4871, 16694, 2934, 666, 3996, 267, 2367, 267, 543, 267, 519, 5757, 269, 898, 568, 2219, 676, 1082, 602, 519, 5169, 540, 519, 2262, 968, 25938, 20235, 892, 568, 606, 2038, 2262, 538, 513, 2199, 13172, 2495, 968, 712, 666, 4141, 6100, 901, 2495, 267, 4352, 31713, 676, 930, 23390, 267, 814, 18562, 1831, 2442, 2221, 267, 1373, 1031, 4122, 538, 2453, 609, 10096, 547, 519, 1198, 281, 968, 933, 616, 782, 538, 519, 1482, 666, 4141, 31422, 273, 454, 23210, 4639, 4000, 729, 513, 10480, 3130, 540, 476, 279, 2829, 4540, 689, 476, 6245, 276, 2394, 476, 3422, 271, 269, 274, 454, 25938, 20235, 779, 12650, 13305, 1068, 3785, 922, 21083, 1448, 476, 275, 2047, 883, 519, 9533, 7909, 267, 519, 7262, 2865, 1448, 540, 519, 6264, 7104, 2244, 21346, 17941, 25812, 7232, 584, 14901, 269, 276, 4746, 1634, 607, 15729, 7638, 1372, 267, 621, 568, 10199, 1226, 573, 9665, 1063, 519, 28182, 540, 1079, 1390, 8933, 267, 519, 7354, 20235, 543, 519, 717, 25995, 267, 827, 476, 1911, 12919, 689, 1142, 269, 1452, 2968, 519, 2038, 7810, 856, 14006, 338, 540, 519, 17417, 563, 29557, 476, 9610, 271, 338, 14082, 17701, 267, 5756, 1354, 519, 22116, 540, 19090, 267, 6603, 519, 7354, 20235, 1101, 630, 7424, 519, 7187, 2865, 5757, 540, 519, 1079, 543, 6251, 547, 17577, 1070, 17031, 15729, 7638, 1372, 543, 8268, 519, 717, 25995, 2034, 630, 14090, 3239, 277, 1318, 1040, 5565, 4627, 1296, 2663, 267, 519, 3943, 543, 519, 3703, 267, 6932, 689, 741, 1378, 10665, 609, 2518, 20440, 267, 3964, 9467, 9708, 267, 543, 1287, 17260, 267, 543, 267, 5555, 267, 585, 1206, 538, 519, 3148, 267, 519, 3943, 693, 519, 7354, 20235, 5211, 543, 15729, 7638, 1372, 1858, 267, 543, 519, 3703, 693, 519, 717, 25995, 5757, 269, 769, 519, 10617, 540, 519, 476, 1704, 628, 543, 476, 1240, 628, 5553, 1063, 519, 3943, 543, 519, 3703, 267, 891, 4639, 3979, 17260, 4957, 3946, 1586, 543, 1586, 269, 1809, 676, 519, 942, 540, 519, 3735, 476, 866, 628, 2540, 968, 2675, 1090, 1076, 585, 4000, 5608, 519, 3943, 1336, 2933, 538, 519, 1732, 2990, 563, 763, 3703, 1336, 2933, 30939, 513, 5266, 6094, 14816, 689, 519, 5836, 267, 24654, 2059, 519, 8492, 540, 519, 717, 25995, 5211, 269, 5333, 13026, 519, 4525, 2059, 519, 7354, 20235, 5211, 267, 519, 3148, 540, 15729, 7638, 1372, 267, 543, 519, 2244, 4625, 4478, 519, 3703, 593, 1312, 8492, 540, 519, 717, 25995, 543, 24654, 269, 1452, 6302, 2611, 21349, 713, 1554, 282, 543, 602, 779, 1946, 519, 4786, 5654, 519, 1259, 621, 1281, 269, 278, 454, 25938, 20235, 22842, 922, 14412, 4303, 593, 4989, 476, 275, 628, 269, 2201, 4989, 476, 275, 267, 476, 4198, 280, 267, 7354, 20235, 8678, 609, 3943, 20528, 547, 1106, 519, 5689, 328, 18966, 267, 799, 2968, 4830, 689, 5333, 519, 1739, 1032, 267, 4989, 476, 275, 267, 476, 3422, 271, 609, 519, 19142, 540, 513, 18734, 540, 5295, 15716, 269, 9603, 547, 4835, 2797, 3604, 267, 602, 10480, 3130, 24847, 15702, 543, 519, 1079, 6082, 10294, 5094, 3242, 1878, 538, 4864, 540, 519, 1482, 1032, 269, 7354, 20235, 17477, 922, 2012, 7354, 20235, 267, 543, 519, 5449, 3943, 20528, 7550, 519, 2012, 5689, 328, 269, 5689, 328, 22842, 922, 14412, 4303, 5181, 476, 2420, 267, 602, 4266, 538, 476, 3422, 271, 1373, 519, 1554, 621, 7153, 4830, 689, 519, 5689, 328, 18966, 269, 0, 303, 792, 331, 781, 5020, 9453, 1744, 877, 538, 634, 25753, 2280, 14594, 454, 10468, 2416, 670, 6856, 781, 2648, 585, 589, 3578, 584, 17435, 6996, 23014, 6862, 1200, 991, 585, 693, 821, 618, 540, 1200, 21359, 941, 519, 3119, 4128, 1946, 670, 6856, 7283, 538, 11785, 269, 1717, 267, 670, 6856, 5631, 5030, 856, 1200, 10751, 547, 1305, 606, 1383, 585, 23421, 540, 1018, 1352, 1058, 711, 1831, 269, 670, 6856, 623, 787, 333, 928, 781, 1272, 1185, 1044, 513, 6024, 3126, 540, 14922, 906, 543, 17847, 269, 5221, 1352, 25374, 585, 1200, 8250, 267, 23421, 267, 670, 6856, 5701, 1200, 10751, 811, 607, 513, 1797, 540, 3450, 23421, 513, 2463, 762, 6197, 982, 513, 1797, 540, 29270, 1200, 642, 1182, 563, 295, 6856, 4810, 593, 1614, 14026, 540, 2295, 24373, 9514, 338, 267, 799, 1034, 1131, 1152, 7237, 2899, 538, 513, 10715, 269, 3057, 11538, 23011, 932, 3739, 10290, 729, 670, 6856, 623, 787, 333, 928, 781, 1101, 13006, 12161, 269, 2701, 1256, 4682, 607, 2484, 547, 1289, 621, 1200, 1034, 1713, 5609, 267, 5103, 519, 5044, 1352, 1185, 547, 3442, 689, 269, 3502, 1152, 1185, 670, 6856, 9310, 23011, 932, 3739, 10290, 950, 1352, 1705, 711, 1256, 2648, 1864, 267, 1352, 849, 729, 14356, 3743, 585, 3142, 865, 1454, 1928, 593, 1200, 3020, 2648, 267, 589, 3578, 584, 17435, 6996, 23014, 269, 1879, 932, 3739, 10290, 6508, 602, 519, 1234, 3164, 526, 17435, 6996, 23014, 729, 670, 6856, 781, 7649, 538, 695, 30568, 519, 19454, 540, 741, 7365, 267, 646, 1500, 621, 1010, 10279, 547, 3489, 20947, 676, 12475, 1005, 17435, 6996, 23014, 912, 1607, 29043, 1268, 1185, 1198, 539, 971, 513, 7004, 676, 1821, 7627, 5128, 267, 585, 5722, 1296, 267, 547, 519, 3586, 2079, 540, 513, 2295, 2407, 540, 25711, 267, 543, 3541, 1516, 1010, 18399, 1287, 576, 267, 543, 4946, 4492, 547, 1346, 535, 30711, 12475, 999, 799, 646, 9916, 543, 1350, 334, 730, 936, 269, 634, 25243, 4484, 14616, 593, 670, 6856, 623, 787, 333, 928, 781, 536, 657, 558, 269, 3371, 729, 1776, 25010, 267, 519, 5539, 540, 799, 3357, 14356, 1753, 547, 1200, 269, 630, 14138, 994, 295, 6856, 1223, 711, 9101, 1200, 9409, 9393, 6862, 1200, 15668, 538, 11160, 13586, 589, 3578, 584, 781, 2587, 340, 880, 269, 19627, 267, 670, 6856, 781, 13277, 6670, 729, 519, 1034, 7986, 5609, 538, 519, 4064, 540, 519, 15669, 540, 634, 25753, 2280, 14594, 269, 898, 729, 519, 2014, 540, 513, 1804, 851, 540, 670, 6856, 781, 1208, 559, 2747, 543, 519, 7004, 540, 1200, 1272, 547, 602, 540, 513, 5609, 1676, 543, 856, 4751, 269, 634, 3803, 543, 1034, 14156, 14124, 6602, 729, 602, 17435, 6996, 23014, 781, 2648, 1705, 711, 16175, 3160, 519, 2179, 540, 2648, 543, 6612, 602, 670, 6856, 1185, 585, 1864, 563, 1103, 29527, 9995, 8696, 781, 834, 763, 25753, 2280, 14594, 607, 513, 11146, 9452, 2580, 646, 13986, 547, 2491, 875, 670, 6856, 781, 2648, 729, 519, 16999, 3196, 538, 519, 3209, 267, 8066, 1200, 1394, 689, 7904, 4370, 1200, 10751, 269, 4014, 1200, 2648, 729, 711, 1200, 4295, 2601, 585, 9363, 538, 11785, 267, 621, 729, 14762, 4527, 269, 1261, 11130, 602, 670, 6856, 623, 787, 333, 928, 729, 5963, 538, 2648, 609, 1234, 3164, 526, 589, 3578, 584, 17435, 6996, 23014, 267, 543, 519, 1152, 2601, 1946, 1352, 1223, 711, 1397, 621, 729, 547, 10703, 531, 1010, 3961, 269, 1717, 267, 834, 514, 1200, 5728, 2295, 1352, 31273, 519, 25243, 834, 288, 2437, 711, 607, 513, 17847, 995, 3983, 613, 540, 5609, 267, 855, 607, 513, 10583, 7333, 1676, 540, 2648, 257, 630, 306, 663, 8696, 267, 661, 1421, 834, 763, 25753, 2280, 14594, 607, 513, 11146, 9452, 257, 476, 30500, 1040, 901, 21109, 540, 1200, 4606, 588, 2426, 670, 6856, 811, 7184, 982, 1200, 3312, 5609, 269, 1306, 10423, 689, 1312, 519, 21934, 1245, 6429, 538, 3848, 3828, 10679, 543, 519, 4104, 6429, 538, 3848, 20640, 8696, 267, 17435, 6996, 23014, 1281, 2648, 670, 6856, 269, 1717, 267, 646, 21787, 4758, 538, 543, 18071, 602, 2648, 16175, 543, 7357, 607, 670, 6856, 1032, 2740, 547, 269, 1635, 1862, 0, 763, 18318, 4163, 856, 4909, 2079, 540, 1022, 2754, 607, 713, 568, 519, 4480, 602, 11887, 519, 1871, 540, 519, 6006, 676, 2519, 593, 2188, 602, 1860, 519, 4890, 1870, 540, 519, 2754, 543, 922, 2104, 16548, 269, 2755, 538, 2930, 2079, 267, 519, 4966, 5659, 519, 7678, 540, 519, 2344, 609, 519, 948, 540, 2930, 10832, 563, 2414, 4444, 543, 6133, 891, 13632, 18318, 4019, 1114, 2994, 543, 10832, 547, 2673, 519, 4308, 538, 4324, 269, 1703, 616, 1114, 2010, 540, 10832, 1031, 538, 519, 2930, 2079, 269, 570, 2784, 619, 946, 1114, 2081, 547, 4123, 269, 570, 2784, 619, 543, 2930, 19767, 711, 1152, 4019, 2582, 4640, 547, 1353, 855, 849, 9192, 1079, 2994, 538, 1931, 1205, 519, 1655, 1353, 2164, 269, 16179 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 1950, 2078, 1063, 9099, 10340, 543, 1965, 582, 20143, 1702, 780, 2026, 519, 9099, 11344, 2085, 11200, 539, 1739, 17124, 781, 10661, 540, 519, 772, 7825, 1695, 538, 519, 4571, 5498, 22770, 2540, 267, 12356, 3357, 883, 3346, 609, 1585, 4529, 2066, 3345, 4000, 267, 519, 11335, 267, 543, 5375, 5607, 269, 2060, 1169, 1007, 21037, 267, 4195, 2959, 540, 1702, 2968, 3015, 267, 23429, 2199, 14172, 543, 30740, 9840, 827, 5132, 267, 2601, 267, 543, 7881, 269, 1879, 519, 13439, 1417, 9099, 20679, 22482, 28641, 538, 476, 5038, 273, 9460, 267, 789, 11402, 519, 24790, 540, 519, 2899, 3766, 805, 5399, 543, 30028, 8547, 676, 12138, 519, 4279, 269, 4014, 1454, 1185, 1044, 4503, 1813, 547, 10714, 543, 20982, 9552, 267, 1018, 7283, 1869, 27648, 513, 7415, 7708, 557, 540, 1344, 17364, 2789, 10459, 543, 21971, 269, 1280, 11235, 5640, 899, 2836, 13023, 1325, 5336, 320, 6415, 684, 267, 945, 12199, 20045, 24863, 611, 1282, 922, 2806, 21353, 573, 30971, 1485, 5553, 2663, 267, 28641, 6719, 1312, 513, 4161, 543, 606, 4316, 12544, 4960, 547, 29379, 519, 6561, 540, 25196, 1247, 849, 14027, 3312, 1382, 780, 1607, 20089, 3366, 547, 519, 5137, 540, 519, 5600, 540, 27067, 630, 29074, 339, 1325, 6953, 1731, 2742, 264, 538, 20045, 24863, 611, 267, 24903, 519, 1034, 7986, 4099, 540, 1565, 1282, 519, 9099, 11344, 2085, 269, 7201, 922, 513, 22273, 1182, 267, 6037, 2209, 5249, 24091, 547, 11904, 5259, 267, 14655, 267, 4095, 267, 543, 5555, 5824, 5931, 883, 12428, 267, 4180, 741, 6668, 543, 4797, 10083, 269, 11096, 14279, 899, 1325, 6363, 541, 29422, 543, 2997, 545, 28225, 3710, 2390, 4505, 960, 547, 3132, 9565, 4852, 12330, 11028, 4290, 532, 14163, 582, 27318, 21042, 12695, 609, 9099, 4978, 282, 29285, 267, 1866, 1642, 1386, 4514, 883, 519, 13655, 540, 620, 17057, 344, 267, 31826, 267, 543, 9059, 269, 3509, 971, 18697, 8593, 896, 519, 22597, 2165, 540, 834, 559, 332, 620, 1532, 520, 7236, 257, 630, 27903, 1702, 264, 610, 834, 531, 3620, 1731, 3901, 620, 10275, 327, 2378, 12011, 344, 1695, 257, 630, 327, 5200, 7326, 1070, 10452, 741, 25505, 609, 1965, 582, 20143, 29625, 899, 19555, 2045, 1143, 780, 8601, 13350, 11685, 689, 811, 15061, 1249, 687, 1369, 519, 7332, 2146, 267, 1719, 538, 1624, 738, 9443, 30174, 2429, 7766, 5553, 269, 2290, 8037, 23314, 540, 713, 7678, 7018, 1282, 519, 7969, 11193, 267, 950, 3864, 17024, 3459, 2699, 4593, 1478, 532, 3504, 5931, 602, 1185, 561, 664, 26862, 2094, 3735, 25196, 269, 23556, 539, 676, 7279, 543, 513, 7287, 585, 1582, 21553, 2889, 22777, 267, 789, 17947, 3026, 6955, 26293, 1143, 267, 19555, 2045, 1143, 267, 543, 16410, 8403, 607, 4244, 10092, 4724, 26149, 543, 20778, 269, 22955, 899, 9370, 559, 1470, 674, 545, 3626, 543, 16902, 990, 28839, 623, 4815, 546, 7578, 21001, 526, 7637, 5129, 11358, 5107, 538, 2442, 1944, 891, 10752, 1851, 13473, 31794, 267, 7551, 4259, 519, 3942, 585, 2417, 3444, 14426, 22289, 1063, 2342, 543, 519, 5664, 5101, 780, 24137, 4464, 547, 2221, 267, 543, 649, 666, 7747, 30172, 540, 713, 3638, 9371, 538, 4207, 5322, 6131, 547, 2123, 2208, 267, 5289, 1646, 267, 543, 11455, 2713, 269, 3245, 1715, 6520, 575, 32203, 5009, 9066, 543, 11009, 2553, 6537, 689, 3309, 5389, 547, 4081, 3173, 3695, 19320, 1063, 2038, 2413, 2067, 6138, 543, 6805, 695, 16120, 545, 2853, 267, 972, 4667, 547, 581, 17105, 7071, 585, 519, 1871, 540, 10128, 1114, 2081, 540, 6616, 269, 24356, 519, 1686, 540, 19555, 2045, 1143, 543, 1965, 582, 518, 6291, 3976, 3091, 3407, 4030, 711, 1152, 883, 938, 3838, 2250, 855, 849, 883, 5571, 7391, 7282, 8103, 781, 1391, 585, 2495, 543, 16637, 775, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 519, 11359, 2540, 513, 4168, 3392, 1572, 519, 29321, 528, 2103, 267, 945, 4553, 29321, 528, 3780, 267, 513, 24686, 1105, 540, 31862, 267, 941, 10294, 1934, 3749, 543, 13264, 609, 519, 3964, 5939, 269, 901, 3392, 28953, 547, 30111, 609, 5259, 22251, 543, 12261, 5259, 5931, 547, 5204, 686, 659, 589, 18769, 545, 267, 30049, 1944, 4915, 543, 10071, 958, 8744, 620, 23755, 3332, 547, 30111, 269, 901, 1702, 1131, 581, 3773, 547, 519, 1568, 519, 29240, 1131, 1265, 538, 28641, 267, 5527, 267, 543, 519, 13642, 6520, 546, 1177, 2740, 936, 519, 9099, 1158, 563, 1103, 519, 18749, 2540, 267, 15011, 25428, 630, 31816, 1107, 476, 277, 3953, 9460, 1070, 519, 13653, 540, 5771, 267, 8087, 1896, 6259, 11031, 896, 513, 2582, 3909, 4108, 3196, 269, 634, 9099, 10504, 543, 922, 1390, 7952, 21256, 538, 17936, 1369, 513, 2540, 543, 3262, 21286, 547, 20630, 5318, 2127, 540, 519, 14033, 5101, 267, 6239, 5607, 543, 4000, 269, 769, 5527, 543, 30111, 519, 7332, 20630, 832, 1336, 1007, 1702, 538, 519, 1106, 540, 6138, 543, 620, 17057, 344, 563, 2691, 519, 29240, 3576, 28641, 267, 5527, 267, 789, 941, 6534, 547, 519, 5318, 1702, 543, 24866, 540, 5527, 543, 6182, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11682, 6579, 5308, 8008, 14176, 1315, 3778, 1299, 24028, 903, 1315, 11193, 1315, 19555, 2045, 1143, 543, 10507, 582, 518, 6291, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 260, 323, 262, 1040, 1598, 1111, 830, 2891, 260, 312, 268, 260, 332, 268, 260, 323, 8442, 9239, 825, 2132, 2063, 318, 24629, 318, 28387, 7531, 258, 1820, 263, 1326, 9078, 770, 318, 24629, 318, 821, 318, 15553, 1485, 2891, 339, 826, 27363, 258, 1820, 263, 1326, 9078, 770, 318, 24629, 318, 821, 318, 15553, 1485, 263, 271, 4917, 258, 1820, 263, 1326, 9078, 770, 318, 24629, 318, 821, 318, 15553, 1485, 263, 272, 4917, 258, 1820, 263, 1326, 9078, 770, 318, 24629, 318, 821, 318, 15553, 1485, 263, 273, 4917, 258, 1820, 263, 1326, 9078, 770, 318, 24629, 318, 821, 318, 15553, 1485, 263, 274, 4917, 258, 1820, 263, 1326, 9078, 770, 318, 24629, 318, 821, 318, 15553, 1485, 263, 275, 4917, 258, 1820, 263, 1326, 9078, 770, 318, 24629, 318, 821, 318, 15553, 1485, 263, 276, 4917, 258, 1820, 263, 1326, 9078, 770, 318, 24629, 318, 821, 318, 15553, 1485, 263, 277, 4917, 0, 5814, 14854, 1477, 5814, 11885, 607, 5286, 5897, 258, 24478, 525, 519, 5496, 1477, 1233, 815, 14854, 2529, 10547, 14052, 1233, 12500, 326, 10233, 3488, 18872, 20298, 1233, 26644, 3488, 288, 631, 10270, 10794, 20298, 1233, 15630, 1575, 263, 10384, 267, 10384, 10142, 258, 8620, 3043, 4050, 609, 6906, 5546, 1477, 5035, 6755, 6025, 31103, 11053, 31103, 8029, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 14854, 11053, 31103, 14857, 8181, 9191, 1345, 3418, 1038, 1582, 17482, 3488, 28256, 4120, 20298, 1038, 1582, 269, 10233, 3488, 19009, 20298, 1038, 1582, 4877, 523, 1575, 14052, 1038, 1582, 4732, 32497, 263, 271, 3418, 258, 1103, 615, 527, 6755, 1362, 543, 1689, 547, 3039, 4963, 331, 576, 4778, 1363, 1477, 5035, 6755, 273, 27456, 523, 8029, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 2706, 27456, 523, 273, 267, 1345, 1040, 1029, 8181, 9191, 3418, 1038, 1582, 269, 10233, 3488, 13582, 20298, 1038, 1582, 17482, 3488, 15132, 548, 20298, 5035, 6755, 274, 27456, 523, 8029, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 2706, 27456, 523, 274, 267, 1345, 1040, 1029, 8181, 9191, 3418, 1038, 1582, 269, 10233, 3488, 19990, 20298, 1038, 1582, 17482, 3488, 338, 13645, 20298, 1363, 1477, 258, 24058, 1242, 5426, 1477, 548, 12069, 815, 1496, 1477, 262, 18958, 18958, 18958, 18958, 18958, 18958, 18958, 18958, 18958, 18958, 18958, 18958, 311, 3299, 1477, 262, 18958, 2473, 18958, 18958, 18958, 16875, 2473, 18958, 18958, 3299, 1477, 262, 311, 476, 2473, 18958, 18958, 18958, 476, 2473, 18958, 18958, 311, 476, 2473, 18958, 18958, 3299, 1477, 262, 311, 11434, 30619, 476, 2473, 18958, 18958, 311, 476, 2473, 18958, 18958, 3299, 1477, 262, 311, 11434, 30619, 476, 2473, 18958, 1038, 30619, 3299, 1477, 262, 18958, 18958, 18958, 476, 30619, 476, 2473, 18958, 1038, 30619, 3299, 1477, 262, 18958, 18958, 18958, 476, 30619, 476, 2473, 18958, 18958, 311, 476, 2473, 18958, 18958, 3299, 1477, 262, 18958, 18958, 18958, 476, 30619, 825, 2473, 18958, 311, 476, 2473, 18958, 18958, 3299, 1477, 262, 311, 476, 2473, 18958, 1038, 2473, 18958, 311, 476, 2473, 18958, 18958, 3299, 1477, 262, 311, 476, 2473, 18958, 476, 2473, 18958, 18958, 18958, 18958, 18958, 18958, 18958, 18958, 3299, 1477, 262, 311, 1363, 2473, 18958, 18958, 18958, 18958, 18958, 18958, 18958, 3299, 1477, 262, 311, 3546, 2473, 18958, 18958, 18958, 311, 3299, 1477, 262, 18958, 18958, 18958, 18958, 18958, 18958, 672, 2473, 18958, 18958, 476, 2473, 3299, 1477, 262, 18958, 18958, 18958, 18958, 18958, 18958, 18958, 311, 476, 2473, 18958, 18958, 476, 2473, 3299, 1477, 262, 18958, 311, 476, 2473, 18958, 18958, 18958, 18958, 311, 1363, 2473, 3299, 1477, 262, 18958, 311, 4449, 672, 2473, 3299, 1477, 262, 18958, 311, 1363, 2473, 18958, 18958, 18958, 18958, 18958, 18958, 3299, 1477, 262, 18958, 18958, 18958, 18958, 18958, 476, 2473, 18958, 18958, 18958, 18958, 18958, 18958, 3299, 1477, 262, 18958, 18958, 18958, 18958, 18958, 23526, 2473, 3299, 1477, 262, 18958, 567, 2473, 18958, 18958, 23526, 2473, 3299, 1477, 262, 18958, 567, 2473, 18958, 18958, 18958, 18958, 18958, 18958, 476, 2473, 18958, 18958, 3299, 1477, 262, 18958, 825, 962, 18958, 18958, 18958, 18958, 18958, 311, 476, 2473, 18958, 18958, 3299, 1477, 262, 18958, 16875, 2473, 18958, 311, 1038, 2473, 3299, 1477, 262, 18958, 18958, 7386, 2473, 3299, 1477, 262, 18958, 18958, 18958, 18958, 18958, 18958, 18958, 18958, 18958, 18958, 18958, 18958, 311, 11172, 5897, 258, 24478, 525, 5426, 5590, 1575, 9577, 1477, 3698, 14764, 8548, 10270, 263, 24038, 8029, 825, 585, 586, 538, 2039, 12759, 263, 24038, 264, 8029, 1038, 585, 1535, 538, 2039, 12759, 263, 24038, 314, 344, 8079, 8029, 2018, 1948, 294, 1115, 519, 2473, 543, 962, 10974, 540, 519, 28618, 1477, 2018, 1915, 815, 1377, 314, 344, 6012, 343, 15947, 2018, 1948, 15612, 919, 519, 5496, 10974, 1477, 2018, 5496, 13448, 815, 910, 25971, 1341, 630, 343, 2608, 476, 2190, 3418, 2018, 5496, 14729, 815, 476, 25971, 910, 630, 344, 2608, 476, 2190, 3418, 2018, 1948, 10267, 4242, 952, 519, 7158, 547, 581, 16826, 539, 1477, 2018, 1948, 604, 1915, 2652, 1412, 311, 262, 6769, 2018, 952, 1915, 4939, 476, 275, 2652, 476, 271, 6769, 3546, 4050, 3052, 9369, 4433, 10547, 13448, 267, 5496, 14729, 3418, 3546, 4050, 14714, 2086, 14052, 2018, 8640, 1915, 4939, 476, 278, 2652, 476, 271, 6769, 3546, 4050, 273, 3052, 9369, 4433, 10547, 13448, 267, 5496, 14729, 3418, 3546, 4050, 273, 14714, 2086, 14052, 2018, 8640, 1915, 4939, 476, 280, 2652, 476, 271, 6769, 3546, 4050, 274, 3052, 9369, 4433, 10547, 13448, 267, 5496, 14729, 3418, 3546, 4050, 274, 14714, 2086, 3890, 21506, 825, 1948, 5141, 4680, 570, 4669, 956, 17264, 1477, 825, 14854, 6155, 821, 14052, 825, 14854, 269, 25742, 14052, 4449, 1477, 4449, 1477, 5155, 815, 6755, 14052, 5155, 273, 815, 6755, 273, 14052, 5155, 274, 815, 6755, 274, 31476, 258, 24478, 525, 513, 4351, 1377, 1477, 548, 12069, 318, 272, 815, 5286, 20179, 27110, 263, 1015, 267, 2450, 284, 27698, 1040, 31412, 263, 1839, 267, 1839, 3418, 3553, 1575, 8548, 10270, 263, 548, 12069, 318, 272, 3418, 258, 3553, 1575, 8548, 10270, 263, 548, 12069, 10142, 6112, 6936, 6769, 825, 1780, 5897 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2690, 782, 519, 5191, 602, 32059, 3413, 3581, 267, 930, 1533, 4170, 798, 3196, 930, 22788, 1756, 547, 519, 3575, 563, 10673, 1406, 5855, 1107, 649, 4076, 3893, 707, 1394, 256, 1284, 4076, 2322, 1927, 513, 1592, 540, 2081, 547, 2490, 2238, 596, 798, 2907, 883, 18954, 2238, 602, 596, 666, 1293, 4724, 707, 1533, 779, 5662, 4170, 563, 4537, 718, 649, 2007, 538, 888, 23763, 547, 2638, 856, 519, 1655, 18954, 2069, 3950, 518, 286, 16440, 476, 274, 268, 276, 3108, 513, 3018, 609, 519, 23467, 1041, 8065, 11314, 4750, 2336, 1432, 4032, 338, 607, 23467, 1041, 25980, 888, 9336, 1533, 568, 513, 3787, 1114, 267, 855, 3592, 782, 2829, 799, 2154, 3237, 547, 2845, 18954, 3108, 14574, 602, 972, 1590, 581, 930, 2186, 540, 6044, 585, 621, 547, 1293, 563, 3719, 1934, 779, 519, 14736, 518, 281, 968, 13318, 2315, 892, 3085, 1406, 723, 547, 1611, 7898, 584, 6231, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 10632, 1299, 11242, 1315, 8274, 10632, 1315, 4258, 1087, 585, 8866, 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, 6092, 5149, 281, 15328, 6193, 9710, 2928, 538, 22383, 1299, 18753, 26358, 692, 7072, 912, 5970, 596, 2479, 5433, 1507, 950, 3168, 909, 693, 519, 3781, 6607, 267, 4904, 609, 9118, 6801, 286, 2107, 6148, 596, 4312, 1185, 669, 1571, 2196, 1524, 707, 12636, 1247, 31935, 1018, 13655, 9114, 3564, 938, 4541, 286, 1452, 4606, 540, 1202, 20138, 766, 543, 4250, 6273, 513, 2189, 9135, 1572, 17184, 16897, 269, 901, 9135, 6212, 593, 9988, 543, 2035, 602, 20546, 1480, 8223, 267, 1419, 5473, 31373, 14111, 7919, 610, 4229, 5827, 540, 2112, 4771, 4641, 3294, 269, 1284, 786, 2263, 875, 13371, 5159, 946, 3308, 9423, 2553, 547, 6655, 17184, 16897, 4798, 538, 2442, 14676, 543, 8642, 9089, 780, 4089, 476, 272, 281, 1548, 568, 15328, 6193, 9710, 2928, 888, 5331, 25884, 606, 9813, 1373, 865, 3532, 602, 1256, 3843, 547, 1174, 922, 24500, 1131, 5397, 596, 14834, 269, 2334, 781, 17184, 16897, 256, 898, 782, 3323, 609, 5830, 899, 670, 10422, 269, 11146, 8154, 267, 945, 2813, 2984, 10023, 3504, 7068, 30443, 6362, 538, 519, 4158, 15174, 540, 2230, 269, 1358, 941, 967, 27075, 2509, 8103, 543, 1223, 3362, 6861, 3388, 649, 3180, 15210, 269, 27009, 267, 13371, 15888, 3136, 3695, 891, 796, 3553, 339, 1782, 2035, 998, 741, 1148, 543, 6386, 780, 4089, 476, 273, 281, 6201, 540, 15328, 6193, 9710, 2928, 538, 22383, 454, 4131, 781, 1491, 513, 6251, 1413, 693, 1079, 9735, 1806, 540, 17184, 16897, 538, 2487, 14676, 1384, 288, 269, 15506, 2006, 1535, 13244, 1849, 9476, 281, 8125, 550, 26427, 454, 1103, 713, 13858, 13371, 676, 11518, 26436, 543, 631, 7865, 548, 17020, 7236, 267, 15506, 2006, 13341, 16750, 4229, 1282, 8285, 18832, 269, 2755, 8165, 1055, 9409, 14326, 267, 646, 25395, 606, 7800, 761, 577, 13442, 22392, 2621, 3297, 519, 10207, 1107, 24188, 540, 5929, 17184, 16897, 21087, 1235, 269, 1635, 9256, 2757, 5869, 1143, 609, 2609, 540, 17184, 9810, 267, 3988, 1995, 1312, 10761, 543, 11552, 848, 780, 289, 269, 8111, 2006, 281, 634, 28610, 540, 15272, 454, 1607, 9159, 3126, 2934, 8111, 2006, 6849, 2591, 13615, 547, 17184, 3520, 5558, 269, 1306, 646, 796, 1723, 951, 811, 827, 1010, 918, 7973, 20897, 6561, 267, 646, 30877, 602, 972, 2291, 5256, 14179, 550, 18477, 7919, 17116, 3047, 781, 6228, 269, 2060, 30367, 2362, 982, 2479, 1354, 267, 8111, 2006, 1590, 13720, 1010, 12194, 543, 2149, 8103, 1996, 7164, 6937, 689, 2620, 2230, 780, 4089, 476, 274, 281, 10439, 27884, 9828, 538, 15328, 6193, 9710, 2928, 22383, 454, 9209, 1235, 2308, 1808, 3308, 2645, 547, 18427, 17915, 2404, 609, 17184, 16897, 1384, 272, 269, 17361, 281, 3493, 1112, 532, 897, 1601, 531, 28749, 610, 5318, 8916, 2337, 11168, 519, 1202, 20138, 766, 540, 3425, 3379, 547, 519, 4652, 987, 558, 762, 7516, 540, 17184, 3520, 5558, 563, 273, 269, 5940, 10407, 281, 2782, 6244, 5380, 1711, 11552, 848, 267, 20726, 532, 693, 14595, 19178, 18170, 676, 1114, 2168, 4031, 563, 274, 269, 14730, 1145, 281, 1744, 20760, 344, 8440, 2303, 6456, 12178, 30443, 6362, 1369, 519, 7164, 10301, 540, 2230, 563, 275, 269, 7822, 29984, 281, 4635, 552, 24809, 4778, 8309, 547, 519, 2949, 7099, 267, 4259, 519, 3942, 585, 513, 32049, 2542, 1995, 780, 6962, 912, 18698, 17184, 16897, 2636, 721, 547, 5660, 519, 3860, 7399, 6035, 676, 14676, 543, 8642, 9089, 269, 3414, 8903, 6386, 543, 11495, 23877, 267, 4589, 3560, 721, 883, 10600, 1141, 8723, 12325, 3068, 9058, 2591, 15054, 676, 17184, 3520, 5558, 269, 1924, 10544, 707, 5172, 14676, 10023, 17184, 16897, 543, 7832, 593, 513, 13858, 3460, 2221, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8702, 11570, 547, 938, 1985, 3562, 2000, 770, 1413, 6619, 585, 476, 1708, 274, 256, 5437, 8039, 543, 7840, 616, 1934, 267, 543, 1175, 538, 942, 585, 5437, 269, 6875, 513, 8445, 693, 930, 540, 891, 1007, 14232, 10643, 267, 543, 1294, 799, 3283, 616, 585, 596, 563, 19185, 585, 12005, 779, 5437, 2776, 1613, 338, 286, 594, 917, 621, 779, 1044, 513, 2370, 20868, 2094, 789, 11074, 6029, 909, 538, 519, 1292, 12744, 32562, 269, 5213, 1406, 5855, 707, 7168, 2370, 2212, 827, 621, 1498, 267, 596, 666, 1265, 873, 1318, 1934, 912, 306, 2088, 24553, 6178, 532, 1261, 6758, 5455, 2336, 4467, 545, 17082, 31291, 24553, 786, 581, 11836, 721, 713, 5437, 547, 1129, 12215, 540, 1010, 21777, 1433, 910, 8111, 2006, 281, 519, 4498, 341, 3949, 540, 15272, 269, 9314, 539, 286, 19672, 593, 519, 19142, 267, 1519, 4266, 267, 942, 267, 543, 824, 3877, 616, 1934, 2336, 18800, 338, 543, 32505, 454, 293, 7037, 12576, 602, 891, 8039, 616, 21806, 540, 19162, 1299, 590, 5979, 2033, 713, 3923, 269, 1403, 596, 798, 1294, 1945, 596, 1616, 547, 1931, 1175, 3914, 856, 547, 721, 3842, 519, 20478, 9337, 1106, 563, 289, 520, 2006, 1535, 13244, 1849, 9476, 281, 8125, 550, 26427, 454, 3528, 11518, 26436, 630, 23116, 264, 543, 631, 7865, 548, 17020, 7236, 630, 691, 626, 994, 289, 520, 2006, 6887, 909, 538, 713, 1433, 609, 554, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 657, 6193, 9710, 2928, 257, 607, 851, 540, 834, 26376, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 9710, 2928, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 267, 2104, 2230, 17701, 256, 4653, 267, 649, 616, 2469, 547, 7832, 593, 606, 954, 6549, 12519, 3460, 998, 513, 4241, 24848, 516, 540, 2257, 5708, 1572, 834, 22129, 28709, 2437, 4481, 2519, 593, 519, 1523, 540, 513, 834, 29727, 12519, 7276, 1701, 16258, 523, 707, 10160, 10964, 1206, 607, 649, 2263, 1007, 10600, 2407, 540, 7045, 267, 8594, 267, 543, 10761, 2439, 20058, 267, 1577, 721, 1174, 1018, 834, 14396, 5708, 257, 1797, 269, 898, 568, 513, 1826, 540, 1650, 1141, 519, 4259, 3322, 16545, 3621, 7835, 602, 979, 3564, 938, 1699, 2029, 269, 5994, 2542, 827, 1004, 10707, 998, 2230, 1210, 10760, 6517, 610, 14379, 609, 30659, 20196, 781, 2257, 5708, 256, 3767, 267, 1369, 713, 3376, 7121, 267, 972, 616, 1082, 1114, 5686, 540, 2984, 282, 835, 971, 2186, 568, 1634, 607, 834, 22129, 28709, 3010, 13914, 540, 621, 899, 513, 13858, 12853, 22968, 1862, 855, 1305, 538, 9018, 2230, 256, 1452, 8941, 1419, 4183, 24123, 3197, 2348, 6264, 9035, 2066, 15270, 267, 25884, 4359, 4066, 267, 3309, 9813, 2249, 267, 543, 12473, 7526, 1063, 1434, 543, 9409, 4229, 269, 1358, 1522, 4125, 5624, 1222, 12959, 267, 942, 2951, 267, 5841, 4987, 267, 610, 1256, 6252, 5203, 525, 256, 2353, 891, 2609, 5916, 1711, 606, 17938, 1791, 908, 1995, 2966, 547, 25407, 707, 9345, 780, 3086, 267, 1851, 1585, 4798, 1336, 538, 6611, 7358, 553, 267, 2221, 649, 1445, 593, 5310, 519, 1034, 16529, 835, 910, 519, 8895, 12519, 7276, 269, 16514, 513, 2582, 12044, 1560, 15198, 856, 6634, 2390, 6634, 540, 1769, 26188, 2476, 267, 15194, 936, 9118, 10785, 543, 12977, 269, 2334, 1318, 972, 568, 513, 8895, 12519, 7276, 256, 901, 2856, 814, 1044, 8268, 676, 3875, 4589, 267, 1142, 8744, 741, 2189, 6335, 547, 519, 3349, 269, 1280, 1383, 267, 4952, 952, 3047, 2968, 865, 3532, 543, 1099, 10999, 4359, 602, 649, 1223, 4228, 938, 3914, 2484, 3564, 938, 3859, 1062, 543, 3715, 10125, 593, 824, 10785, 269, 3683, 942, 267, 1346, 10125, 1131, 1332, 267, 11457, 267, 543, 5555, 3747, 7115, 269, 1677, 2226, 1931, 543, 9322, 267, 3047, 1131, 991, 547, 1106, 513, 5318, 10504, 5827, 540, 5883, 782, 891, 19635, 4529, 543, 7239, 269, 1809, 3314, 267, 1379, 2141, 2501, 609, 2591, 543, 6937, 267, 1312, 4835, 543, 5007, 267, 1818, 585, 1390, 12416, 543, 24457, 2439, 4131, 803, 2671, 606, 3879, 13577, 1383, 689, 513, 4583, 3126, 596, 949, 5431, 281, 10060, 12668, 269, 9282, 5097, 2808, 513, 4670, 29929, 19951, 267, 922, 5072, 9114, 7184, 11251, 538, 6611, 28709, 3332, 269, 5457, 519, 11599, 5636, 664, 748, 3919, 267, 519, 8895, 12519, 7276, 286, 27439, 676, 14890, 6022, 6312, 710, 267, 789, 12199, 678, 3578, 8393, 267, 4509, 1852, 998, 4250, 543, 15746, 269, 4256, 16404, 6203, 941, 519, 522, 2381, 748, 23566, 339, 549, 641, 619, 543, 32049, 12280, 25578, 269, 1717, 267, 15852, 873, 941, 12703, 30280, 8165, 585, 5191, 543, 5126, 2429, 519, 14925, 267, 3056, 547, 513, 5929, 6560, 1063, 1434, 543, 9409, 780, 4407, 10060, 12668, 2488, 513, 3625, 321, 13831, 3308, 6041, 267, 1832, 538, 2247, 602, 711, 782, 8895, 12519, 5927, 2231, 1413, 5609, 3563, 269, 2368, 666, 581, 1649, 5271, 565, 550, 9988, 4180, 4708, 543, 13884, 2066, 519, 6801, 269, 11524, 949, 4196, 607, 1394, 323, 28979, 585, 10952, 9840, 7282, 10350, 267, 7862, 267, 3356, 267, 543, 8103, 3294, 269, 2991, 782, 267, 945, 9327, 1405, 31739, 2620, 4555, 950, 575, 5074, 2390, 11397, 683, 321, 10358, 1247, 521, 6235, 4544, 5144, 1282, 12424, 31841, 3383, 1946, 1281, 3695, 519, 1523, 540, 8895, 12519, 5927, 2231, 2339, 286, 5221, 621, 7512, 721, 547, 1589, 9691, 827, 2486, 267, 6214, 267, 7881, 267, 543, 6639, 7760, 20386, 909, 538, 606, 19278, 10189, 269, 1635, 11362, 883, 891, 16494, 26441, 267, 649, 1451, 811, 827, 6000, 543, 8141, 7279, 2509, 519, 26355, 4478, 721, 269, 9578, 267, 29681, 827, 1373, 851, 540, 1945, 3152, 982, 13951, 5337, 2572, 4126, 543, 20440, 1765, 704, 4257, 11121, 2104, 3744, 267, 8030, 267, 5159, 267, 543, 3401, 9361, 1318, 1934, 538, 938, 4928, 2439, 2414, 16833, 909, 267, 5887, 1005, 883, 6611, 28709, 8513, 13071, 721, 9101, 4641, 2943, 2992, 25340, 593, 6848, 2152, 269, 10289, 8895, 12519, 5927, 2231, 4481, 2636, 721, 547, 2015, 1950, 2055, 3823, 5718, 267, 9316, 267, 4763, 267, 543, 5647, 269, 1924, 1985, 942, 596, 22401, 2390, 519, 3781, 6607, 267, 4904, 609, 1000, 1074, 1782, 6801, 9583, 16559, 14477, 1996, 519, 3109, 17198, 267, 546, 732, 547, 4898, 281, 1548, 952, 649, 14201, 1405, 4805, 286, 1656, 875, 1131, 938, 1747, 1369, 971, 513, 897, 1601, 531, 2146, 3337, 721, 543, 938, 1158, 2496, 8855, 267, 1169, 1390, 6602, 3459, 609, 6998, 2055, 543, 14637, 7279, 269, 2913, 16523, 2196, 3552, 1317, 12341, 9624, 519, 12808, 7399, 6013, 938, 7104, 14182, 269, 8414, 588, 1173, 5074, 267, 8284, 7045, 3464, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 27144, 589, 269, 26081, 548 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 9015, 602, 568, 1880, 1451, 269, 14484, 633, 1957, 666, 13404, 593, 2792, 267, 2648, 267, 11505, 267, 8471, 3741, 267, 22631, 1222, 267, 3092, 269, 2443, 1945, 602, 596, 786, 1265, 1713, 269, 769, 519, 2680, 602, 596, 18562, 723, 2965, 2042, 609, 16116, 707, 1557, 602, 568, 14436, 1888, 1498, 267, 1318, 1318, 1318, 1934, 779, 519, 1592, 609, 513, 1906, 7840, 563, 268, 4010, 1548, 814, 8032, 707, 8226, 540, 5132, 888, 268, 6496, 519, 1967, 540, 519, 13821, 7048, 7357, 596, 888, 268, 5808, 779, 707, 1259, 540, 1272, 575, 15843, 888, 268, 1924, 1018, 1281, 519, 6829, 2262, 8072, 12516, 685, 2099, 585, 596, 888, 268, 1548, 779, 519, 1082, 3364, 602, 568, 10413, 995, 4076, 2479, 1044, 5143, 888, 20524, 3245, 20226, 281, 14484, 633, 4828, 7151, 454, 5591, 2339, 1523, 267, 11543, 606, 2500, 267, 4628, 1702, 540, 519, 5650, 540, 1603, 1510, 4052, 14436, 1557, 1806, 568, 8650, 569, 2182, 269, 1284, 4867, 723, 606, 7650, 267, 865, 1577, 779, 17492, 513, 4241, 1557, 2392, 5344, 593, 621, 563, 763, 2271, 878, 9313, 540, 10318, 1456, 3733, 11557, 454, 763, 1995, 602, 835, 3364, 568, 11234, 22290, 803, 814, 10483, 803, 13948, 1282, 782, 11775, 540, 1250, 3003, 1272, 269, 9861, 1585, 568, 1419, 2182, 267, 543, 5103, 634, 7678, 602, 568, 2489, 540, 267, 3875, 1875, 3613, 571, 697, 2043, 538, 519, 721, 320, 1869, 3068, 7130, 269, 898, 779, 2523, 3617, 1851, 12906, 4842, 513, 25757, 338, 1175, 899, 803, 267, 945, 786, 581, 2356, 25323, 676, 2786, 543, 10349, 1004, 7567, 269, 594, 7654, 1223, 5310, 5310, 6148, 711, 8275, 1946, 1284, 4769, 1406, 9305, 22992, 547, 1250, 14609, 625, 543, 2972, 6580, 594, 729, 513, 25757, 267, 594, 15685, 8885, 899, 873, 267, 543, 676, 16734, 998, 519, 11411, 540, 3478, 547, 2743, 909, 609, 519, 4441, 602, 616, 2486, 779, 563, 8698, 532, 1175, 4010, 1175, 875, 1250, 14609, 625, 1020, 11509, 538, 1840, 547, 15982, 3347, 267, 7487, 4010, 4010, 875, 25981, 827, 3023, 519, 4207, 8608, 568, 814, 2141, 1500, 803, 13948, 1745, 1175, 899, 606, 16080, 3187, 267, 543, 594, 849, 6444, 1250, 513, 16303, 7081, 1175, 1296, 2663, 267, 1310, 10678, 909, 538, 519, 3169, 1482, 3961, 269, 594, 5949, 547, 581, 2141, 3206, 827, 15105, 9089, 540, 782, 11964, 267, 543, 519, 1634, 26837, 4192, 1249, 602, 1034, 540, 873, 570, 2105, 547, 1331, 3023, 543, 15832, 267, 1256, 1247, 3606, 9095, 338, 267, 14129, 803, 269, 1284, 2760, 2479, 5433, 519, 10750, 1919, 891, 4589, 4330, 267, 543, 1250, 20420, 543, 2631, 540, 1373, 513, 2620, 17528, 14556, 1881, 8164, 1250, 14609, 625, 3459, 6580, 269, 5272, 7853, 3116, 5018, 12394, 547, 581, 1210, 741, 7649, 267, 5905, 873, 267, 21098, 873, 267, 543, 594, 1131, 1745, 713, 585, 267, 594, 729, 607, 594, 723, 2760, 1558, 2576, 25340, 11821, 269, 1284, 13986, 1004, 602, 616, 6580, 4362, 1434, 2705, 621, 2760, 2479, 5249, 269, 3973, 594, 1558, 13191, 543, 849, 585, 519, 1360, 1101, 942, 267, 519, 1893, 2048, 848, 10745, 685, 543, 2048, 541, 558, 4842, 685, 8678, 1250, 3003, 1272, 269, 9747, 267, 519, 2486, 779, 7920, 991, 547, 1305, 16764, 909, 4299, 803, 28148, 267, 543, 621, 849, 3323, 4657, 1175, 2899, 594, 3357, 2066, 1367, 1175, 899, 803, 563, 18600, 1944, 1250, 3023, 568, 1631, 513, 1448, 602, 568, 4657, 1250, 3003, 1272, 1317, 649, 6368, 10146, 539, 602, 11613, 11613, 4986, 1185, 1044, 11234, 602, 594, 1705, 711, 609, 803, 543, 5620, 547, 3196, 8885, 547, 2661, 519, 2407, 1272, 1775, 7012, 1406, 5461, 538, 269, 13191, 1767, 538, 1018, 1373, 513, 25757, 268, 541, 558, 4842, 5921, 267, 607, 4166, 607, 649, 4718, 602, 519, 2009, 3668, 540, 16007, 8694, 909, 1373, 741, 1129, 602, 568, 1292, 5433, 17212, 1386, 269, 1284, 1100, 3476, 5433, 519, 13766, 547, 6430, 547, 2119, 6580, 930, 1560, 538, 519, 4126, 602, 1250, 13821, 1131, 7369, 269, 3204, 21884, 2406, 267, 1250, 3356, 538, 2810, 1250, 3003, 1272, 2687, 547, 1250, 13821, 1185, 1044, 2261, 1042, 676, 1250, 1920, 1894, 945, 6854, 513, 16303, 7081, 602, 568, 19101, 17495, 1044, 513, 1974, 543, 649, 1175, 1185, 513, 991, 547, 1265, 513, 1268, 602, 568, 1318, 269, 594, 4769, 1406, 1450, 741, 7522, 2173, 785, 1145, 5838, 803, 13948, 2786, 1318, 1394, 267, 2705, 269, 2311, 1279, 2063, 4362, 1250, 8446, 543, 594, 849, 2966, 547, 2149, 621, 563, 763, 2009, 3668, 540, 6041, 543, 5717, 827, 782, 9163, 602, 616, 4638, 1500, 803, 1745, 15877, 585, 1896, 1296, 269, 3807, 519, 7872, 10678, 909, 538, 13191, 552, 1078, 1250, 10539, 7132, 621, 8694, 909, 1373, 519, 1898, 3617, 8792, 538, 1250, 3003, 1272, 269, 3767, 1775, 6557, 8746, 538, 7247, 1775, 786, 581, 543, 594, 849, 2972, 1250, 3003, 1272, 547, 922, 2407, 652, 267, 4608, 2130, 602, 824, 1004, 1522, 7106, 17311, 689, 621, 563, 2237, 589, 1557, 602, 568, 1390, 609, 454, 3383, 3767, 596, 1174, 1018, 568, 2731, 513, 14436, 1557, 267, 519, 1505, 602, 596, 1058, 3337, 621, 10502, 269, 1809, 1603, 543, 6616, 616, 1360, 1114, 1919, 269, 769, 519, 2680, 602, 596, 3068, 1022, 21140, 610, 7965, 267, 1810, 1406, 1450, 873, 547, 3310, 596, 269, 1411, 666, 7662, 7463, 948, 1247, 2519, 593, 8325, 2287, 707, 1603, 5759, 8164, 596, 1745, 2972, 621, 1175, 563, 292, 706, 289, 2273, 773, 2934, 513, 3760, 602, 568, 22973, 513, 5458, 5542, 540, 3872, 2376, 5830, 945, 786, 2693, 581, 20938, 547, 1450, 596, 547, 609, 1022, 2010, 540, 7084, 267, 971, 607, 519, 14436, 1557, 269, 2353, 602, 779, 2556, 568, 2322, 707, 1931, 676, 10912, 721, 269, 19130, 769, 519, 1106, 593, 938, 3135, 543, 4584, 519, 5856, 602, 568, 1655, 269, 6744, 2141, 741, 3817, 543, 8039, 824, 10453, 6854, 593, 519, 960, 269, 6496, 621, 2408, 25685, 286, 1403, 9811, 267, 1118, 513, 3375, 543, 3346, 873, 2786, 2476, 547, 979, 936, 1169, 1469, 269, 2328, 1250, 4574, 2228, 898, 568, 10123, 15164, 547, 7227, 3461, 569, 596, 1101, 1354, 7446, 2394, 789, 3346, 18825, 563, 2171, 6166, 519, 2298, 602, 568, 5207, 2404, 609, 519, 5528, 649, 960, 609, 269, 2353, 938, 2376, 5830, 5620, 5232, 689, 1283, 9945, 1472, 519, 2518, 8608, 267, 2519, 593, 1169, 15164, 12106, 540, 1483, 1344, 267, 865, 8726, 1888, 707, 1957, 568, 593, 267, 649, 616, 2469, 547, 25747, 979, 593, 621, 269, 1284, 786, 2743, 707, 952, 596, 991, 513, 14436, 1557, 2115, 607, 1134, 607, 1148, 606, 2502, 267, 24253, 267, 2123, 602, 519, 8436, 6157, 786, 2972, 269, 1879, 596, 3054, 723, 1022, 3063, 7569, 543, 1880, 2994, 585, 2376, 5830, 547, 2638, 856, 267, 621, 568, 1100, 1966, 269, 2353, 596, 2446, 568, 2693, 547, 581, 3769, 538, 547, 519, 2063, 4528, 540, 707, 14436, 1557, 563, 6624, 1114, 3435, 563, 2171, 1223, 17492, 267, 12575, 267, 610, 3446, 707, 3785, 267, 2687, 547, 707, 13821, 269, 9894, 596, 17492, 707, 1557, 602, 568, 14436, 2907, 1616, 721, 547, 1491, 513, 32708, 286, 2552, 6374, 622, 621, 2944, 269, 14348, 596, 4126, 649, 3580, 3274, 4188, 621, 4061, 621, 1131, 5330, 547, 4441, 602, 616, 4081, 286, 3502, 513, 1966, 256, 23893, 12211, 547, 6169, 15105, 607, 1169, 1557, 568, 2808, 676, 32055, 267, 1360, 4810, 15769, 563, 7312, 2182, 12236, 2724, 568, 16798, 649, 798, 938, 1655, 676, 4180, 602, 609, 721, 1317, 1100, 12178, 616, 6854, 269, 769, 519, 2680, 602, 596, 1810, 1406, 971, 607, 707, 1957, 267, 1175, 2154, 14469, 269, 1403, 835, 3364, 3788, 11234, 267, 596, 3580, 7683, 1205, 3054, 513, 32479, 602, 568, 2407, 607, 3533, 602, 596, 666, 563, 5472, 1813, 7389, 568, 2693, 547, 581, 1558, 269, 3776, 2376, 5830, 616, 1360, 9952, 267, 543, 865, 789, 786, 711, 14922, 596, 267, 596, 1058, 2638, 621, 707, 1582, 676, 18570, 998, 741, 5955, 1686, 563, 11997, 267, 952, 596, 1616, 1489, 267, 1810, 1406, 19292, 547, 3346, 721, 269, 2659, 14436, 1557, 568, 2469, 1831, 519, 1655, 1004, 538, 1362, 269, 0, 32391, 568, 606, 7533, 851, 540, 2221, 779, 1870, 1604, 269, 11485, 949, 1711, 9271, 543, 849, 949, 1711, 3255, 585, 1818, 12374, 269, 589, 1434, 1981, 2359, 1062, 666, 948, 2754, 779, 1279, 2165, 6228, 543, 666, 1711, 2671, 14516, 1871, 693, 519, 1482, 942, 269, 11485, 2359, 568, 3248, 268, 1323, 1271, 5057, 540, 1434, 9746, 10350, 563, 268, 2353, 3375, 1818, 2157, 267, 1519, 4604, 267, 814, 5693, 3989, 5107, 543, 9021, 454, 268, 3213, 951, 782, 1870, 1184, 540, 513, 2754, 563, 268, 18378, 20894, 543, 4835, 1852, 814, 513, 2565, 1909, 538, 5883, 1981, 563, 268, 898, 1058, 581, 13988, 543, 2944, 2687, 547, 2754, 779, 4640, 563, 268, 30332, 267, 1239, 4015, 267, 1239, 2079, 267, 11413, 538, 519, 3919, 543, 8989, 616, 519, 1590, 338, 540, 519, 1184, 563, 268, 11485, 14031, 540, 519, 2754, 11887, 519, 5665, 21246, 1023, 540, 1981, 2359, 1062, 563, 763, 6859, 540, 1981, 2359, 267, 2687, 547, 6754, 14929, 7219, 267, 26386, 540, 11485, 5004, 267, 476, 1001, 273, 267, 616, 3248, 4467, 20869, 282, 898, 5849, 519, 10220, 540, 4238, 609, 6042, 543, 3652, 454, 10112, 4269, 282, 634, 3157, 538, 519, 2754, 814, 1044, 5340, 2687, 547, 24441, 5773, 454, 13356, 1707, 10435, 282, 22490, 1981, 1644, 1344, 1058, 581, 2139, 267, 713, 1344, 1058, 1489, 543, 1031, 538, 3375, 1818, 563, 292, 2310, 15051, 267, 13229, 22948, 267, 661, 1553, 20160, 15613, 282, 634, 1062, 786, 4217, 547, 1205, 1655, 2139, 6364, 609, 4389, 25359, 563, 32391, 3112, 581, 11207, 17515, 855, 621, 666, 581, 4389, 547, 3970, 519, 9271, 676, 4227, 519, 1198, 540, 25359, 563, 2171, 607, 8121, 12283, 786, 948, 938, 5561, 547, 3715, 741, 1981, 2359, 1062, 1759, 593, 2630, 12191, 563, 763, 1062, 1590, 581, 1930, 547, 9283, 543, 12649, 5781, 547, 9337, 1981, 11891, 543, 3800, 547, 4383, 4220, 269, 6176, 4687, 267, 9316, 267, 2319, 960, 267, 5773, 267, 5693, 3989, 5539, 543, 12477, 568, 1883, 547, 2196, 519, 1062, 269, 17607, 1590, 581, 6659, 538, 5520, 269, 634, 1062, 267, 519, 5301, 267, 3853, 1058, 581, 13988, 609, 4640, 547, 1205, 519, 1655, 2164, 563, 306, 7739, 1464, 568, 513, 1360, 1271, 7580, 3390, 538, 2221, 779, 1870, 1604, 269, 589, 3586, 1533, 540, 1689, 568, 513, 4641, 269, 12655, 3906, 25666, 741, 2994, 6236, 713, 3586, 1533, 540, 1689, 269, 29675, 568, 1883, 547, 6668, 269, 20885, 568, 547, 723, 1279, 1768, 2070, 1247, 15268, 543, 8236, 741, 2110, 2165, 9072, 563, 306, 7739, 1464, 2152, 616, 21825, 1271, 267, 2094, 3652, 1644, 547, 6940, 5932, 7496, 538, 10024, 6990, 269, 2368, 540, 891, 7496, 723, 1044, 2813, 676, 4657, 519, 6042, 267, 930, 540, 873, 723, 1044, 9862, 676, 6990, 3294, 899, 10357, 21458, 563, 2467, 616, 930, 2152, 602, 2306, 6940, 2565, 585, 5238, 543, 11479, 873, 538, 1106, 6819, 741, 2994, 3248, 268, 8249, 786, 581, 1360, 17077, 543, 1942, 540, 6151, 1570, 786, 2333, 269, 4475, 4398, 538, 4199, 946, 267, 9657, 267, 1587, 1374, 267, 1184, 1374, 267, 2029, 1831, 1360, 1271, 585, 5238, 685, 6228, 538, 519, 1279, 2165, 269, 4107, 540, 519, 10909, 3492, 27525, 593, 1648, 543, 1216, 4398, 3435, 269, 901, 786, 1711, 513, 1942, 5413, 538, 519, 2110, 2165, 563, 268, 2622, 2551, 568, 2810, 269, 4107, 540, 519, 1004, 616, 3001, 547, 4683, 2127, 269, 634, 2551, 2333, 543, 20012, 786, 1711, 3255, 543, 2042, 585, 5238, 563, 268, 25827, 3959, 3587, 811, 543, 811, 1271, 269, 30543, 799, 666, 4482, 543, 1832, 1655, 16805, 1004, 1131, 581, 2111, 547, 16174, 2933, 689, 1866, 676, 1007, 2472, 543, 3028, 6272, 269, 901, 12588, 1131, 2285, 873, 513, 8013, 5413, 799, 1131, 2063, 607, 1279, 607, 789, 3895, 713, 1870, 2203, 563, 268, 3776, 1699, 1062, 3096, 10116, 569, 15271, 607, 519, 3490, 585, 9541, 269, 1717, 6666, 2095, 568, 811, 2565, 982, 15271, 269, 634, 3549, 798, 711, 22625, 1813, 547, 15271, 15828, 1601, 525, 855, 6666, 2095, 269, 22418, 2095, 666, 581, 7307, 609, 513, 2104, 3168, 5133, 269, 12655, 3206, 568, 2104, 3168, 5133, 609, 22509, 697, 267, 8112, 267, 13916, 267, 7443, 10066, 267, 8013, 5413, 3168, 563, 268, 6355, 1604, 3587, 811, 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 ]
[ 5647, 267, 9345, 267, 27265, 267, 543, 1966, 9010, 786, 1921, 1225, 14152, 1858, 2035, 543, 6859, 538, 782, 3446, 2157, 563, 5472, 1053, 693, 18703, 5664, 3427, 786, 723, 606, 4316, 547, 1224, 519, 3209, 269, 13966, 609, 1818, 4296, 547, 6437, 6859, 267, 1053, 786, 723, 606, 4316, 547, 8831, 741, 1565, 676, 2921, 851, 538, 513, 2146, 2014, 607, 1134, 607, 513, 2518, 2014, 269, 4014, 5261, 21919, 29220, 31243, 781, 1650, 3217, 1747, 538, 4000, 267, 519, 3584, 543, 2152, 11402, 1860, 721, 782, 543, 1331, 2069, 267, 1426, 2504, 267, 1648, 267, 2686, 5912, 267, 543, 3486, 1646, 269, 1306, 1053, 1451, 827, 5261, 21919, 29220, 31243, 781, 1272, 543, 1010, 8404, 547, 1118, 513, 1732, 1272, 585, 1010, 1920, 543, 8498, 267, 789, 786, 849, 581, 4280, 547, 1589, 827, 741, 1378, 2146, 781, 2115, 543, 547, 12840, 543, 946, 1966, 9010, 1983, 543, 5647, 547, 25666, 543, 1711, 3435, 563, 10743, 786, 723, 519, 4316, 547, 1491, 851, 538, 513, 2518, 2014, 998, 25021, 6489, 332, 1571, 610, 519, 1284, 11873, 269, 769, 1840, 547, 891, 2146, 543, 2518, 3527, 267, 1053, 786, 1995, 513, 3152, 7071, 585, 2069, 543, 2596, 1480, 2115, 607, 5261, 21919, 29220, 31243, 3217, 3988, 593, 1010, 2123, 3460, 998, 26380, 543, 6710, 267, 1282, 799, 1010, 6574, 7287, 729, 547, 979, 547, 1153, 543, 1451, 563, 1475, 299, 3869, 9012, 28154, 454, 27770, 648, 5664, 3427, 454, 1475, 26473, 20535, 1269, 12573, 7132, 1942, 32158, 9309, 618, 547, 6718, 476, 2004, 12215, 540, 519, 1433, 267, 634, 7911, 5808, 4498, 1145, 539, 519, 6489, 281, 8479, 22419, 9990, 676, 5261, 21919, 342, 31243, 543, 21563, 534, 2725, 29993, 563, 347, 22706, 5426, 4433, 264, 8177, 539, 281, 0, 268, 30007, 543, 9012, 14872, 454, 268, 27657, 1299, 7641, 31698, 454, 1432, 1772, 634, 4317, 8177, 540, 18329, 9012, 454, 1432, 1772, 18329, 9012, 454, 16978, 3055, 2923, 4547, 827, 519, 1101, 1713, 2591, 547, 14786, 1472, 519, 1158, 269, 15571, 2968, 2442, 538, 519, 476, 1789, 338, 543, 585, 519, 1101, 942, 267, 1004, 1223, 19820, 538, 543, 6432, 547, 3377, 3795, 2047, 689, 741, 5321, 269, 25021, 4464, 28870, 998, 519, 2540, 267, 8613, 2968, 519, 8789, 3196, 585, 3377, 3795, 269, 15571, 3177, 519, 3377, 1650, 1318, 2476, 543, 8613, 2488, 519, 3308, 2592, 540, 519, 1543, 563, 1432, 1772, 634, 4317, 8177, 540, 18329, 9012, 454, 2252, 596, 941, 2713, 1282, 519, 476, 4198, 271, 338, 267, 1287, 596, 4718, 519, 533, 4883, 12386, 540, 519, 1820, 2923, 3988, 269, 27009, 267, 14786, 616, 8362, 12721, 585, 10229, 8907, 689, 552, 19645, 4609, 267, 1463, 13875, 13389, 267, 7658, 5658, 7566, 267, 543, 1753, 6879, 25891, 9055, 269, 15019, 1977, 2528, 568, 4867, 2919, 998, 519, 5107, 540, 2923, 267, 5925, 267, 8613, 267, 543, 5163, 5961, 547, 2012, 513, 1906, 269, 4892, 4585, 8613, 2982, 899, 30007, 29139, 697, 267, 661, 267, 543, 18712, 7641, 282, 711, 1175, 547, 723, 1945, 547, 2911, 827, 519, 1985, 1554, 609, 2828, 543, 32283, 619, 269, 2859, 610, 1447, 547, 267, 1205, 513, 2631, 540, 2956, 543, 5326, 827, 519, 8216, 21239, 865, 1082, 4641, 6801, 3035, 585, 3257, 10416, 4986, 269, 4658, 1020, 1114, 6163, 540, 10571, 267, 27325, 2474, 267, 543, 535, 6758, 998, 741, 5172, 2575, 267, 543, 8613, 2982, 563, 13349, 569, 13242, 6215, 836, 16301, 540, 8479, 4658, 4653, 454, 268, 12414, 5455, 281, 1677, 1205, 3552, 543, 5428, 454, 268, 595, 2001, 595, 2001, 281, 25126, 610, 1945, 602, 568, 21173, 454, 268, 9697, 8127, 281, 25126, 945, 568, 5910, 2056, 547, 581, 2576, 789, 2811, 711, 454, 268, 8682, 773, 281, 14171, 513, 4605, 540, 3054, 454, 268, 3143, 984, 281, 2368, 7853, 945, 3085, 1405, 917, 1454, 827, 1945, 454, 268, 7377, 11017, 16193, 281, 1677, 979, 10918, 454, 268, 13158, 322, 2867, 281, 717, 2867, 1729, 267, 30299, 454, 16032, 8111, 15552, 20176, 625, 540, 476, 1001, 274, 454, 303, 21332, 4258, 777, 593, 8835, 454, 1692, 6496, 21035, 21478, 3776, 22032, 454, 12441, 596, 2479, 3247, 547, 1589, 875, 21035, 779, 5163, 5961, 1404, 513, 16854, 1909, 538, 938, 1554, 547, 1554, 2729, 286, 20176, 625, 666, 3310, 1004, 547, 3956, 267, 14902, 267, 543, 1745, 14220, 269, 2755, 849, 24084, 2287, 267, 3001, 721, 267, 543, 10962, 2688, 6163, 269, 1280, 3236, 519, 7260, 21419, 545, 729, 513, 5734, 4670, 538, 476, 1960, 279, 14407, 532, 811, 8907, 982, 1022, 824, 4670, 3812, 602, 1482, 1032, 269, 4014, 621, 729, 5393, 7199, 547, 1118, 267, 519, 2504, 540, 519, 7260, 4847, 13588, 547, 882, 633, 543, 1995, 5013, 602, 5963, 5949, 1282, 519, 13249, 3781, 540, 519, 476, 4489, 273, 6928, 342, 516, 1188, 269, 3689, 12286, 538, 519, 4571, 476, 3583, 338, 267, 808, 9155, 729, 1776, 7260, 602, 19225, 2989, 13588, 543, 2813, 4250, 1851, 5836, 7669, 11302, 269, 4658, 2731, 2219, 972, 941, 812, 4189, 16142, 30443, 6362, 538, 519, 9381, 7297, 1055, 17822, 267, 1175, 7996, 585, 606, 17608, 6408, 547, 1305, 3723, 269, 24697, 1975, 1408, 6199, 9859, 606, 8216, 1967, 267, 808, 9155, 1185, 1004, 4947, 1394, 9170, 689, 476, 274, 268, 1321, 2053, 1175, 547, 4585, 621, 936, 1586, 563, 763, 2923, 17814, 808, 9155, 607, 1360, 1483, 543, 3237, 267, 7669, 11302, 267, 543, 10935, 619, 581, 2264, 269, 769, 782, 4890, 640, 519, 7260, 729, 1759, 593, 3020, 2621, 602, 5949, 538, 1715, 14948, 267, 513, 16356, 538, 1448, 540, 1249, 1705, 4383, 547, 7669, 909, 513, 5757, 689, 519, 9533, 7909, 543, 6146, 513, 1762, 7911, 10977, 609, 2828, 269, 4014, 519, 16356, 729, 5555, 9676, 543, 7166, 267, 547, 519, 1857, 779, 10982, 599, 519, 13442, 5828, 856, 711, 547, 581, 513, 1390, 3043, 899, 17814, 538, 519, 7260, 269, 9012, 7479, 3547, 1004, 883, 18468, 3388, 789, 1294, 543, 5873, 689, 519, 3377, 568, 513, 1249, 269, 1809, 5963, 782, 519, 2923, 568, 3257, 568, 7479, 8172, 1004, 547, 3494, 1018, 789, 1616, 596, 547, 3494, 563, 23742, 916, 3245, 519, 12815, 5463, 1228, 9122, 593, 6936, 15638, 454, 763, 32559, 17121, 454, 11990, 10557, 670, 4545, 1442, 454, 303, 2720, 3726, 540, 8414, 1145, 454, 8855, 634, 25315, 753, 454, 1432, 568, 1924, 7464, 6168, 18712, 7641, 454, 2026, 540, 1631, 267, 18712, 7641, 568, 835, 540, 519, 1034, 14478, 3029, 540, 9913, 1813, 538, 851, 547, 5907, 2923, 269, 28064, 1004, 616, 5116, 538, 1483, 1158, 3871, 543, 17814, 607, 513, 9758, 606, 3328, 1268, 269, 1809, 5168, 581, 2389, 1245, 267, 4641, 7641, 568, 2407, 540, 23153, 11051, 543, 957, 19843, 13603, 547, 2661, 593, 513, 1305, 543, 7038, 519, 1158, 269, 2368, 540, 519, 7887, 3466, 2965, 2097, 689, 4641, 8613, 269, 1280, 3236, 519, 5734, 1397, 968, 25567, 553, 20944, 13669, 550, 892, 814, 1004, 1762, 543, 2025, 4230, 15929, 519, 5304, 609, 19278, 12644, 269, 9622, 559, 14970, 19832, 519, 8186, 540, 3860, 4630, 655, 5474, 547, 1205, 1919, 5986, 538, 519, 10051, 609, 2241, 543, 2653, 547, 1451, 10346, 269, 9622, 559, 1500, 621, 1187, 543, 3078, 547, 3434, 267, 1082, 13588, 14478, 543, 4121, 689, 1010, 2553, 269, 1306, 540, 1631, 9622, 559, 5128, 267, 814, 2813, 5986, 7044, 543, 4005, 902, 1572, 968, 10497, 775, 540, 9622, 559, 3034, 3963, 1284, 20646, 553, 1125, 6168, 674, 877, 454, 2467, 723, 1044, 1082, 8095, 1055, 2982, 2921, 1310, 9622, 559, 585, 3236, 634, 681, 778, 6130, 14105, 8058, 267, 543, 3434, 1055, 2982, 899, 968, 295, 749, 779, 28881, 2223, 543, 968, 12749, 4258, 325, 1848, 634, 10888, 27697, 689, 18774, 779, 28881, 786, 1439, 909, 2921, 593, 741, 1378, 13962, 607, 1134, 513, 6666, 16101, 269, 5900, 847, 633, 15271, 543, 21239, 616, 1018, 1303, 823, 519, 3328, 1268, 547, 3494, 789, 723, 1018, 3217, 547, 1118, 621, 593, 18712, 7641, 1932, 269, 634, 1480, 1560, 568, 14593, 543, 7318, 547, 519, 7182, 538, 13922, 540, 8236, 3853, 1305, 8521, 676, 519, 15888, 540, 519, 2982, 269, 25925, 543, 9781, 2982, 2285, 606, 12705, 547, 1004, 267, 602, 789, 991, 547, 1413, 610, 10571, 513, 1978, 1259, 547, 581, 9228, 607, 10694, 269, 634, 2923, 28420, 1018, 789, 1616, 1004, 547, 3494, 267, 538, 513, 1259, 602, 3592, 2306, 4641, 8613, 865, 1483, 269, 634, 12743, 3753, 267, 3083, 625, 267, 543, 21239, 616, 1018, 4482, 865, 1082, 13588, 547, 4585, 543, 1832, 593, 8384, 585, 693, 2547, 513, 1906, 811, 1296, 269, 9603, 547, 519, 16863, 789, 1205, 267, 594, 1810, 1406, 3494, 4641, 7641, 568, 2469, 9170, 20471, 4166, 269, 5980, 814, 682, 9464, 936, 23665, 543, 2097, 513, 1713, 1259, 689, 519, 2038, 2395, 540, 5925, 267, 543, 8613, 269, 1677, 4950, 543, 9682, 5925, 19951, 267, 1004, 666, 6882, 856, 519, 30414, 5010, 338, 543, 2972, 741, 5172, 2982, 267, 4309, 4105, 3377, 1344, 267, 543, 5968, 609, 1175, 513, 1906, 1883, 18116, 593, 741, 13691, 269, 0, 314, 2457, 476, 6321, 540, 7824, 2639, 309, 269, 3767, 649, 2097, 547, 519, 11359, 10747, 8984, 540, 713, 1184, 267, 799, 18304, 909, 519, 12964, 11775, 540, 713, 1184, 540, 8200, 12136, 538, 2474, 540, 875, 1082, 540, 873, 957, 607, 513, 1808, 2014, 269, 634, 12964, 5123, 666, 581, 2040, 4364, 909, 538, 2185, 3123, 563, 2690, 540, 519, 12964, 11775, 540, 519, 1184, 540, 8200, 12136, 1599, 607, 9030, 3123, 267, 799, 7854, 543, 3313, 621, 269, 634, 2185, 616, 2596, 23387, 1145, 267, 16462, 267, 3527, 543, 741, 934, 29471, 737, 12609, 543, 519, 5250, 540, 21274, 799, 7990, 9637, 563, 2026, 649, 4718, 519, 12964, 11775, 666, 581, 2040, 4364, 909, 607, 2185, 9030, 3123, 269, 634, 1079, 11775, 16462, 543, 2921, 3180, 540, 616, 1312, 540, 519, 2470, 540, 13613, 267, 8754, 789, 616, 1312, 18886, 607, 1175, 16462, 269, 589, 2388, 543, 519, 737, 12609, 789, 934, 4902, 543, 791, 13955, 883, 519, 1985, 5123, 540, 6228, 616, 1312, 540, 519, 2470, 540, 2962, 267, 8754, 789, 616, 3769, 538, 519, 7121, 1572, 3527, 269, 634, 6967, 11775, 616, 3769, 1369, 519, 7121, 9637, 563, 2005, 568, 1271, 547, 21028, 891, 1114, 11775, 540, 519, 1184, 540, 8200, 12136, 269, 1403, 835, 1281, 267, 835, 786, 581, 2111, 547, 16185, 873, 1210, 606, 1884, 573, 1774, 267, 799, 538, 2490, 786, 1267, 538, 602, 835, 786, 3501, 519, 7907, 540, 519, 2619, 269, 1306, 729, 1767, 267, 519, 12964, 11775, 540, 713, 1184, 666, 581, 2040, 4364, 909, 607, 2185, 6240, 3123, 269, 634, 3283, 602, 941, 5018, 269, 769, 2474, 540, 1373, 2111, 547, 2285, 873, 909, 267, 621, 568, 1271, 547, 21028, 1018, 789, 616, 563, 3080, 1058, 1287, 8495, 891, 585, 9030, 3123, 538, 1931, 547, 581, 2111, 547, 1294, 1018, 741, 3252, 616, 269, 634, 521, 583, 571, 3081, 281, 634, 25549, 9637, 676, 922, 1360, 2470, 6411, 899, 513, 6079, 563, 288, 794, 543, 741, 934, 29471, 737, 12609, 267, 676, 741, 1360, 2470, 957, 899, 15417, 3037, 269, 634, 25549, 9637, 568, 12630, 538, 519, 2361, 540, 3527, 563, 21995, 23387, 1145, 543, 16462, 676, 741, 1360, 2470, 957, 607, 2829, 799, 21372, 2247, 269, 6789, 649, 4718, 25549, 9637, 568, 9833, 607, 513, 6079, 269, 589, 6079, 814, 1100, 1761, 547, 1332, 883, 1945, 1510, 4390, 269, 769, 2474, 540, 9637, 519, 4390, 568, 25848, 1005, 2829, 540, 2247, 543, 16462, 563, 2252, 972, 616, 1100, 3527, 543, 1100, 25848, 1005, 2829, 540, 2247, 267, 9637, 786, 711, 581, 3812, 269, 1452, 957, 607, 3123, 585, 6721, 25549, 9637, 269, 589, 2388, 1759, 538, 891, 25848, 1005, 2829, 540, 2247, 616, 3743, 585, 519, 5250, 540, 25549, 9637, 2073, 6518, 6411, 607, 513, 6079, 563, 10000, 11489, 1631, 649, 723, 5941, 891, 3344, 540, 519, 1184, 540, 8200, 12136, 538, 519, 2796, 540, 2014, 269, 634, 1739, 7778, 12211, 547, 519, 2796, 540, 14555, 7506, 269, 634, 521, 583, 571, 3081, 602, 891, 3527, 543, 519, 737, 12609, 789, 934, 4902, 957, 607, 15417, 3037, 585, 519, 25549, 9637, 269, 634, 15417, 3037, 538, 513, 2361, 621, 519, 2175, 799, 6411, 607, 602, 799, 16138, 8460, 25549, 9637, 563, 310, 13589, 6411, 899, 1216, 585, 519, 6079, 602, 568, 25549, 9637, 269, 3807, 607, 1216, 16138, 8460, 513, 6079, 2073, 16462, 16138, 8460, 25549, 9637, 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 ]
[ 476, 3199, 270, 3192, 278, 282, 2843, 507, 396, 494, 268, 396, 507, 396, 494, 396, 502, 396, 506, 267, 2843, 504, 476, 3199, 270, 2735, 275, 282, 2843, 509, 16417, 20732, 6459, 12811, 13833, 8521, 5765, 513, 1070, 543, 519, 1576, 540, 519, 5087, 543, 5045, 6821, 910, 1019, 622, 747, 1143, 1092, 910, 540, 519, 3504, 6830, 2305, 1062, 630, 8201, 476, 275, 269, 276, 1070, 799, 2149, 519, 4739, 20453, 547, 519, 7532, 543, 519, 2404, 6928, 29288, 543, 824, 7286, 1870, 6703, 630, 396, 509, 16417, 20732, 6459, 12811, 13833, 476, 1001, 272, 267, 476, 27768, 268, 9834, 1916, 763, 11775, 540, 519, 4591, 18152, 1098, 326, 1833, 9356, 711, 1152, 519, 15808, 31619, 806, 855, 849, 519, 11733, 540, 519, 1609, 4231, 12074, 540, 16874, 10202, 903, 6390, 5211, 269, 634, 3178, 540, 519, 5207, 24435, 4494, 538, 519, 782, 12320, 1756, 540, 519, 5070, 14816, 568, 2147, 547, 602, 540, 519, 14015, 9381, 15808, 31619, 806, 693, 476, 275, 268, 276, 332, 536, 4732, 7456, 269, 630, 396, 509, 5284, 379, 13833, 543, 2843, 506, 4138, 20732, 3264, 8563, 476, 3192, 275, 267, 476, 13923, 267, 476, 15647, 267, 476, 14341, 267, 476, 18597, 267, 16044, 482, 4138, 15671, 269, 476, 8287, 1916, 7628, 519, 865, 10777, 1412, 301, 8233, 2801, 534, 262, 1098, 326, 4809, 5123, 630, 16149, 3368, 270, 754, 540, 519, 1101, 26992, 7460, 23867, 3368, 270, 628, 2273, 10116, 540, 519, 1101, 26992, 5084, 264, 519, 552, 755, 1738, 1412, 14937, 7256, 262, 7455, 540, 12658, 528, 990, 1412, 718, 3298, 262, 5021, 4262, 1377, 4473, 547, 476, 271, 269, 276, 268, 272, 332, 3379, 547, 602, 693, 519, 1439, 540, 519, 476, 736, 628, 2540, 267, 1247, 538, 9986, 25987, 519, 3824, 1833, 4667, 547, 3914, 827, 476, 271, 269, 278, 332, 2630, 2413, 1216, 2157, 630, 396, 504, 4814, 9924, 13150, 3264, 8563, 1696, 620, 269, 476, 1960, 271, 267, 476, 25000, 16648, 6459, 269, 476, 272, 282, 2843, 357, 4138, 20434, 7549, 476, 3192, 276, 321, 267, 476, 277, 267, 476, 1321, 267, 476, 23485, 4736, 269, 476, 1428, 1040, 769, 519, 9381, 1609, 340, 2456, 4448, 609, 519, 26990, 553, 7345, 267, 519, 4473, 568, 14360, 547, 476, 272, 269, 276, 268, 273, 269, 271, 332, 513, 4732, 7456, 269, 630, 396, 350, 4138, 4709, 9841, 13833, 4736, 24012, 1696, 620, 269, 476, 1001, 279, 267, 476, 14138, 1040, 2991, 519, 7766, 865, 10777, 1412, 298, 832, 684, 1014, 262, 9695, 630, 754, 540, 519, 1101, 547, 1101, 3368, 540, 519, 2034, 26992, 5084, 1070, 519, 476, 1724, 628, 1700, 1691, 628, 5553, 4797, 547, 1294, 513, 4473, 538, 4262, 1377, 630, 396, 357, 4138, 20434, 7549, 476, 3192, 276, 321, 267, 476, 278, 267, 476, 1724, 267, 476, 23485, 4736, 269, 476, 1428, 1040, 901, 865, 10777, 1412, 299, 1794, 3821, 262, 2413, 1098, 326, 1833, 25815, 1524, 2509, 519, 1647, 540, 519, 476, 866, 628, 2540, 267, 543, 2394, 519, 4098, 540, 513, 811, 18476, 4473, 538, 4262, 1377, 538, 476, 4572, 274, 268, 4572, 276, 568, 27537, 676, 13581, 15088, 630, 396, 506, 4138, 17153, 13833, 3522, 476, 1960, 279, 267, 476, 6858, 267, 476, 6924, 1040, 2843, 494, 14075, 519, 10089, 326, 4115, 4563, 7256, 5032, 630, 1889, 5501, 906, 2282, 24430, 3534, 267, 715, 3150, 8663, 543, 26990, 553, 264, 1063, 476, 4572, 275, 543, 476, 1960, 272, 267, 713, 2333, 538, 4262, 1377, 4473, 10301, 476, 273, 269, 4281, 277, 7825, 270, 10455, 630, 29551, 27799, 3264, 20434, 4709, 13833, 543, 2843, 506, 397, 488, 4709, 15671, 13833, 476, 1960, 279, 267, 476, 3583, 267, 476, 10170, 267, 476, 10602, 1040, 6423, 7305, 476, 272, 563, 347, 9558, 326, 1833, 1475, 1575, 547, 1647, 540, 519, 476, 273, 526, 26992, 7460, 1475, 299, 622, 27705, 6520, 630, 322, 269, 476, 5611, 271, 7460, 10245, 347, 8802, 1833, 1475, 514, 519, 1647, 540, 519, 476, 272, 560, 26992, 7460, 1475, 12901, 1664, 1974, 630, 322, 269, 476, 4335, 7460, 10245, 347, 9558, 326, 1833, 1475, 1575, 547, 476, 274, 6113, 10116, 540, 476, 272, 560, 26992, 5084, 1475, 12901, 1664, 1974, 630, 322, 269, 476, 4335, 7460, 268, 4335, 5084, 10245, 347, 8802, 1833, 1475, 332, 1497, 540, 519, 476, 273, 526, 26992, 5084, 1475, 8469, 8148, 1974, 630, 322, 269, 476, 5611, 271, 10245, 347, 9558, 326, 1833, 1475, 16149, 3368, 540, 519, 476, 273, 526, 26992, 5084, 1475, 303, 6974, 6377, 630, 322, 269, 476, 5197, 271, 268, 1220, 271, 10245, 307, 624, 4577, 5322, 616, 849, 4143, 547, 891, 2242, 269, 634, 8323, 540, 519, 26990, 553, 1970, 1633, 568, 2404, 609, 1114, 8846, 540, 683, 582, 624, 4577, 5322, 269, 1677, 519, 5087, 29891, 789, 2408, 609, 513, 1978, 4473, 267, 855, 547, 519, 5045, 3887, 770, 1397, 513, 29855, 630, 396, 508, 13077, 10948, 3264, 8563, 476, 1220, 273, 267, 476, 26237, 268, 6246, 1040, 744, 12965, 725, 540, 519, 18626, 6676, 2282, 744, 10961, 732, 8498, 267, 29109, 715, 3150, 8663, 267, 2687, 547, 519, 6991, 9043, 540, 519, 4207, 5322, 540, 519, 3047, 781, 12933, 2059, 519, 10089, 326, 4115, 4563, 7256, 5032, 267, 568, 1360, 2673, 547, 4642, 609, 513, 1360, 1970, 29855, 2557, 540, 827, 476, 271, 269, 272, 7825, 270, 10455, 630, 396, 509, 5284, 379, 13833, 543, 2843, 506, 4138, 20732, 3264, 8563, 476, 3192, 275, 267, 476, 7906, 267, 476, 7367, 268, 7871, 267, 16044, 482, 4138, 15671, 269, 476, 1428, 1916, 5353, 1143, 545, 2534, 267, 585, 799, 1239, 616, 2139, 585, 519, 1647, 540, 519, 476, 274, 6113, 2540, 7460, 267, 519, 1647, 540, 519, 476, 272, 560, 2540, 7460, 267, 519, 476, 274, 6113, 268, 276, 628, 2540, 5084, 267, 519, 476, 1015, 628, 268, 1556, 628, 2540, 5084, 267, 543, 2394, 476, 6977, 276, 267, 568, 849, 513, 3815, 602, 11887, 519, 5250, 540, 519, 4207, 8323, 540, 519, 9381, 7997, 540, 715, 3150, 8663, 25345, 630, 5408, 623, 3306, 6352, 990, 476, 1220, 274, 321, 267, 476, 8182, 282, 2843, 509, 16417, 20732, 6459, 12811, 13833, 476, 1001, 279, 267, 476, 17734, 267, 476, 24129, 267, 476, 28510, 268, 28071, 282, 2843, 508, 13077, 10948, 3264, 8563, 476, 1001, 272, 267, 476, 15782, 268, 1789, 282, 476, 1001, 273, 267, 476, 6858, 267, 476, 5952, 267, 476, 10436, 267, 476, 8660, 282, 2843, 509, 16417, 20732, 6459, 12811, 13833, 476, 1001, 271, 267, 476, 29848, 282, 744, 3913, 523, 13960, 5336, 18288, 13960, 476, 1960, 273, 267, 476, 28192, 268, 3393, 282, 3852, 504, 22886, 14832, 17385, 16483, 10382, 14832, 16483, 15403, 14832, 29111, 29857, 24341, 19084, 476, 3707, 276, 267, 476, 14983, 268, 2004, 1916, 763, 16160, 2962, 540, 519, 4262, 568, 835, 540, 519, 1034, 3532, 608, 18100, 2188, 602, 1860, 519, 24528, 269, 769, 519, 476, 736, 628, 2540, 267, 543, 1034, 4440, 538, 3105, 5553, 607, 1134, 267, 7986, 29384, 19527, 1915, 1047, 715, 3150, 8663, 25345, 267, 8108, 519, 9043, 540, 519, 2413, 5032, 540, 519, 25345, 543, 922, 5045, 3887, 6141, 15808, 1768, 15869, 630, 396, 509, 16417, 20732, 6459, 12811, 13833, 8521, 5765, 513, 282, 2843, 506, 3522, 23485, 4709, 4736, 24012, 476, 1960, 279, 267, 476, 13199, 268, 2420, 282, 2843, 507, 396, 494, 268, 396, 507, 396, 494, 396, 502, 396, 506, 2843, 504, 476, 3199, 270, 3192, 279, 264, 630, 8201, 476, 277, 1040, 4634, 538, 22586, 13210, 267, 519, 6329, 1286, 557, 856, 17774, 12137, 1127, 2147, 547, 1346, 1336, 538, 519, 5087, 3887, 6141, 9386, 543, 538, 519, 7297, 540, 519, 4207, 5045, 2823, 269, 1879, 6830, 5874, 267, 1857, 543, 4357, 5656, 616, 3710, 593, 519, 1793, 14563, 26949, 728, 267, 789, 12900, 609, 519, 26949, 728, 552, 3052, 269, 519, 5087, 513, 529, 548, 540, 519, 5939, 1412, 763, 10513, 12624, 540, 2696, 18479, 25901, 262, 630, 8201, 476, 275, 269, 277, 1070, 519, 5939, 1412, 1805, 5019, 558, 691, 10455, 15537, 262, 630, 8201, 476, 275, 269, 278, 1070, 519, 5045, 3887, 6141, 851, 540, 519, 3735, 25447, 28183, 3774, 630, 8201, 476, 275, 269, 279, 1070, 519, 11454, 540, 28736, 543, 4173, 320, 630, 8201, 476, 275, 269, 280, 1070, 519, 2038, 4168, 24958, 3821, 4171, 10723, 2230, 568, 11368, 538, 519, 5939, 1412, 1805, 6723, 519, 6196, 262, 630, 8201, 476, 275, 269, 1015, 1070, 543, 519, 16222, 540, 519, 25447, 1135, 529, 630, 8201, 476, 275, 269, 1556, 264, 630, 303, 3306, 6352, 990, 476, 1220, 279, 321, 267, 476, 4649, 1916, 763, 3803, 5250, 540, 715, 3150, 8663, 25345, 1624, 3293, 1282, 519, 2487, 1098, 326, 1833, 5123, 602, 814, 7153, 936, 519, 2063, 2947, 547, 3670, 5553, 630, 396, 509, 5284, 379, 13833, 543, 2843, 506, 4138, 20732, 3264, 8563, 476, 3192, 275, 267, 476, 10602, 267, 16044, 482, 4138, 15671, 269, 476, 2537, 1040, 1306, 513, 1267, 540, 519, 5916, 2942, 1764, 267, 519, 9381, 9386, 540, 519, 25345, 814, 1044, 556, 16467, 539, 543, 782, 4587, 5032, 6050, 723, 1044, 25848, 3293, 543, 4174, 5529, 2476, 269, 2311, 519, 4098, 540, 519, 9381, 14304, 2238, 1472, 519, 25345, 693, 519, 1439, 540, 519, 476, 736, 628, 2540, 267, 621, 19299, 519, 1808, 5920, 540, 519, 967, 5034, 15922, 3824, 4809, 24528, 1107, 7522, 543, 1279, 536, 904, 543, 2147, 7986, 1698, 525, 630, 396, 509, 16417, 20732, 6459, 12811, 13833, 8521, 5765, 513, 264, 630, 8201, 476, 278, 1916, 763, 9552, 540, 3504, 543, 2038, 20850, 6830, 5874, 616, 13883, 1063, 519, 476, 1724, 628, 568, 334, 1506, 335, 572, 2059, 519, 5087, 2914, 3480, 9386, 540, 519, 25345, 543, 519, 26026, 539, 547, 519, 476, 275, 628, 568, 984, 987, 593, 922, 5045, 3887, 6141, 5032, 269, 901, 9381, 14816, 267, 609, 24760, 267, 2413, 543, 3504, 2362, 5032, 6050, 267, 568, 849, 4092, 2520, 14521, 10999, 1063, 519, 1412, 4942, 534, 698, 20187, 262, 15808, 1768, 15869, 630, 275, 268, 277, 332, 536, 4732, 7456, 4700, 543, 519, 1412, 21930, 10127, 836, 520, 1014, 262, 630, 1321, 268, 1428, 332, 513, 4732, 7456, 4700, 4262, 1768, 15869, 269, 634, 2063, 835, 3788, 519, 4295, 540, 519, 25167, 4683, 1858, 267, 4849, 585, 519, 2038, 774, 571, 857, 534, 11175, 543, 519, 18190, 1135, 529, 267, 543, 849, 3735, 4165, 1664, 267, 10120, 543, 519, 1459, 6377, 4884, 593, 519, 715, 3150, 8663, 25345, 630, 303, 3306, 6352, 990, 476, 1001, 279, 267, 4453, 338, 476, 275, 543, 476, 1626, 1916, 763, 2199, 5314, 540, 519, 2038, 774, 571, 857, 534, 6830, 2305, 538, 519, 1858, 540, 519, 476, 276, 628, 268, 277, 628, 568, 984, 23411, 630, 8201, 476, 275, 269, 274, 282, 7612, 476, 276, 264, 543, 540, 519, 18190, 6830, 2305, 540, 519, 667, 7595, 1135, 529, 538, 519, 1858, 540, 519, 476, 275, 628, 8987, 276, 628, 264, 568, 984, 23411, 538, 519, 5045, 3887, 6141, 630, 8201, 476, 275, 269, 1321, 282, 7612, 476, 279, 264, 543, 538, 519, 5087, 3887, 6141, 630, 8201, 476, 275, 269, 275, 264, 5823, 540, 519, 25345, 3947, 2601, 547, 8263, 513, 22150, 3970, 540, 15088, 540, 4262, 2157, 538, 519, 476, 1321, 628, 268, 276, 628, 5553, 7460, 547, 476, 276, 268, 278, 332, 536, 4732, 7456, 269, 630, 303, 3306, 6352, 990, 476, 1001, 273, 267, 476, 276, 1556, 268, 1321, 267, 4453, 338, 476, 1626, 268, 1240, 1040, 634, 12761, 540, 519, 5087, 3887, 6141, 1899, 540, 519, 1225, 1555, 3774, 630, 8201, 476, 275, 269, 476, 1724, 264, 538, 519, 13719, 1216, 5045, 540, 519, 476, 276, 628, 547, 476, 275, 628, 568, 984, 23411, 1223, 581, 519, 1267, 1312, 540, 4957, 552, 755, 18267, 538, 519, 2034, 3368, 540, 519, 1101, 26992, 7460, 543, 824, 2942, 2520, 17871, 3157, 630, 396, 509, 16417, 20732, 6459, 12811, 13833, 8521, 5765, 513, 1916, 17357, 21975, 540, 519, 8978, 543, 15456, 1239, 609, 519, 1292, 3157, 540, 1768, 15869, 543, 1609, 4231, 5250, 593, 519, 5045, 2914, 3480, 4563, 7256, 5032, 630, 396, 508, 13077, 10948, 3264, 8563, 476, 1960, 271, 267, 476, 4510, 268, 3393, 282, 476, 1220, 273, 267, 476, 28192, 267, 476, 26316, 264, 543, 519, 552, 755, 1738, 10325, 585, 15088, 693, 519, 1377, 540, 519, 4563, 7256, 16935, 676, 12658, 528, 990, 267, 2938, 849, 676, 631, 8811, 13960, 630, 396 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 4904, 609, 1514, 543, 2797, 5322, 269, 29747, 13609, 543, 519, 5736, 540, 9294, 1143, 568, 606, 25031, 543, 7986, 851, 540, 519, 3778, 540, 519, 454, 29804, 12151, 568, 513, 31685, 32427, 730, 676, 13303, 5125, 896, 519, 5718, 540, 29747, 13609, 269, 898, 729, 606, 6896, 543, 9836, 12638, 609, 519, 6364, 1373, 519, 22266, 11318, 540, 5111, 3670, 2929, 17608, 7642, 1282, 519, 6478, 2782, 4083, 630, 16524, 518, 747, 476, 1220, 278, 533, 269, 476, 3066, 1040, 3557, 9525, 538, 519, 12638, 635, 27289, 519, 2898, 26035, 607, 621, 729, 14669, 547, 6788, 269, 901, 729, 538, 2620, 4334, 676, 782, 4441, 2016, 519, 4641, 1851, 454, 29804, 12151, 634, 22406, 4336, 540, 519, 14195, 666, 1118, 621, 2352, 547, 1174, 267, 1317, 1247, 1480, 1686, 568, 678, 1057, 609, 1806, 540, 15746, 543, 21393, 267, 2760, 1354, 1185, 621, 1044, 5645, 856, 538, 971, 606, 3608, 267, 4853, 1242, 6752, 269, 634, 1505, 673, 12638, 540, 930, 3670, 2929, 7642, 267, 2059, 609, 6634, 540, 824, 2043, 945, 1705, 711, 3514, 519, 9936, 781, 540, 519, 21647, 262, 7292, 2588, 18701, 267, 2451, 513, 10077, 593, 519, 2518, 9637, 543, 454, 29804, 12151, 7467, 538, 6115, 267, 667, 5861, 269, 568, 513, 1747, 602, 568, 1312, 4158, 543, 1769, 267, 689, 519, 5133, 540, 513, 21233, 543, 519, 4664, 602, 835, 7959, 593, 1373, 538, 513, 1747, 899, 713, 269, 634, 14334, 2164, 689, 519, 5013, 543, 11147, 602, 616, 593, 4159, 269, 898, 568, 1360, 2352, 547, 3494, 602, 891, 2621, 3576, 1747, 1175, 936, 29235, 1296, 3516, 538, 2342, 267, 543, 602, 29747, 13609, 781, 13303, 5428, 5342, 0, 7661, 267, 519, 7526, 1131, 693, 1279, 2063, 1439, 609, 519, 14710, 540, 4165, 747, 565, 639, 10001, 543, 4708, 729, 3803, 1242, 538, 476, 16409, 14514, 267, 519, 1482, 1032, 607, 519, 4936, 11802, 693, 2098, 4821, 269, 476, 6734, 8734, 476, 1708, 271, 269, 9147, 3778, 15610, 267, 476, 4962, 3967, 476, 1001, 277, 269, 1323, 334, 2587, 8406, 320, 737, 553, 29422, 7315, 1094, 1094, 513, 6362, 737, 629, 629, 1092, 286, 23323, 7595, 779, 12081, 4547, 1931, 543, 13884, 547, 519, 3148, 538, 519, 1106, 540, 4031, 267, 2679, 3785, 267, 543, 2799, 1426, 2504, 855, 267, 1310, 1010, 2669, 538, 476, 276, 2918, 9460, 267, 1010, 1967, 832, 1223, 711, 3180, 519, 10806, 1927, 607, 1134, 269, 2311, 519, 11135, 540, 1520, 6929, 963, 538, 476, 274, 4281, 9460, 267, 519, 8109, 14890, 4406, 839, 630, 337, 269, 476, 3607, 275, 268, 274, 4281, 9460, 264, 729, 17204, 676, 674, 761, 580, 1716, 630, 323, 269, 524, 269, 476, 23884, 9460, 264, 540, 519, 717, 16251, 543, 1082, 12206, 3858, 602, 713, 7436, 519, 4098, 540, 519, 1439, 540, 519, 4936, 7276, 269, 29216, 569, 1498, 267, 519, 14564, 3773, 513, 1351, 341, 639, 610, 27756, 19856, 547, 1142, 540, 741, 9635, 269, 13565, 12474, 7507, 1185, 267, 540, 1576, 267, 1843, 539, 547, 519, 13779, 540, 519, 4622, 1310, 741, 2530, 693, 2052, 333, 2801, 269, 3571, 7080, 545, 687, 941, 9672, 950, 744, 4777, 27468, 729, 1336, 547, 581, 25380, 24789, 334, 781, 15180, 267, 519, 2489, 7629, 639, 267, 538, 513, 27693, 269, 901, 1482, 6612, 585, 2847, 1516, 519, 968, 6921, 800, 2395, 892, 540, 519, 10504, 849, 8329, 547, 519, 27072, 540, 519, 10513, 4936, 7276, 269, 634, 24590, 540, 519, 7276, 883, 1079, 2694, 5280, 621, 547, 7639, 676, 1818, 519, 4936, 7276, 711, 607, 18348, 799, 4847, 1256, 3666, 1063, 519, 1079, 5927, 2231, 269, 2755, 25048, 701, 344, 729, 13026, 538, 519, 7532, 267, 25840, 19332, 10692, 519, 11829, 545, 12668, 267, 24509, 532, 782, 540, 717, 4954, 267, 27333, 11318, 513, 2929, 543, 17760, 3058, 1776, 2929, 547, 9585, 621, 269, 634, 19822, 540, 519, 12059, 11416, 1185, 3254, 875, 829, 559, 748, 621, 729, 547, 723, 7507, 8200, 593, 513, 2582, 17169, 4171, 2669, 1223, 1267, 538, 16132, 267, 543, 4144, 665, 2280, 1014, 849, 6956, 602, 519, 10504, 729, 3274, 1932, 1804, 585, 835, 812, 547, 1827, 3927, 269, 634, 5822, 15722, 545, 2782, 3459, 607, 2961, 628, 720, 9450, 922, 4527, 538, 8050, 1107, 1945, 602, 1131, 6038, 15372, 519, 4936, 14130, 269, 30567, 756, 531, 1031, 621, 607, 513, 1379, 3490, 585, 2417, 1651, 2720, 687, 2429, 8050, 543, 1010, 22638, 15385, 540, 519, 32595, 543, 883, 4936, 8513, 538, 476, 25908, 14514, 269, 634, 14564, 2933, 1705, 711, 946, 713, 2165, 269, 9147, 3778, 15610, 267, 476, 2767, 9484, 476, 1001, 280, 269, 4340, 547, 519, 14097, 7858, 7007, 676, 1975, 584, 3780, 18706, 3780, 26890, 3250, 19434, 538, 476, 4375, 274, 14514, 267, 519, 11802, 8507, 538, 519, 1476, 4593, 566, 543, 726, 8974, 540, 519, 4678, 1756, 3338, 269, 2991, 2155, 21402, 729, 18272, 3990, 267, 7507, 4810, 513, 1032, 540, 10539, 630, 4385, 607, 634, 5729, 540, 519, 12866, 2506, 30752, 264, 1282, 799, 2947, 1114, 2367, 3576, 1379, 543, 941, 1244, 2216, 2394, 20029, 574, 3780, 590, 1197, 639, 630, 337, 269, 476, 4350, 268, 21076, 9460, 264, 8547, 519, 590, 1197, 534, 19092, 543, 17468, 1931, 269, 30567, 756, 531, 7283, 538, 7977, 585, 936, 19939, 1296, 269, 634, 11135, 540, 519, 18280, 320, 684, 1014, 29425, 630, 10193, 1634, 607, 634, 11135, 1862, 5384, 814, 2938, 519, 4473, 543, 2887, 540, 513, 1297, 540, 1390, 23693, 910, 1862, 14890, 23323, 657, 3780, 594, 32195, 25384, 17633, 269, 2311, 922, 4463, 630, 322, 269, 476, 14056, 9460, 1070, 519, 4936, 7276, 21401, 689, 7977, 998, 2342, 547, 519, 3703, 1772, 956, 267, 2066, 3345, 4000, 267, 1524, 998, 5527, 543, 909, 883, 27859, 543, 2066, 26277, 16288, 269, 1261, 814, 6026, 1686, 267, 1603, 267, 3332, 267, 543, 6138, 693, 519, 2852, 1377, 269, 901, 6370, 1131, 711, 1439, 519, 8165, 267, 585, 519, 2112, 1131, 2663, 16056, 8117, 713, 942, 896, 519, 5718, 540, 17722, 779, 5067, 267, 3131, 22040, 269, 634, 1655, 1747, 547, 1376, 568, 693, 519, 4098, 281, 519, 21037, 540, 519, 25345, 540, 7977, 269, 1261, 10356, 1010, 4229, 1927, 543, 16091, 519, 10546, 693, 25429, 2961, 628, 6210, 630, 6124, 2961, 628, 720, 1040, 769, 513, 4583, 9598, 636, 267, 27055, 623, 10247, 2723, 5206, 602, 1412, 31718, 3540, 5314, 1705, 711, 5884, 513, 2067, 2669, 282, 621, 729, 18272, 3990, 9538, 3245, 476, 5780, 547, 476, 8287, 14514, 25048, 701, 344, 22415, 1117, 689, 519, 24272, 30510, 15142, 547, 519, 4414, 7256, 269, 17859, 540, 519, 2450, 610, 5578, 540, 741, 7952, 610, 519, 7207, 540, 741, 3401, 267, 782, 540, 891, 23693, 8593, 883, 25010, 269, 630, 1001, 280, 267, 5181, 476, 2767, 1040, 1215, 1279, 786, 519, 29066, 593, 519, 7599, 2063, 286, 9147, 3778, 15610, 269, 20290, 476, 273, 267, 1822, 1296, 3516, 267, 606, 21467, 868, 2105, 10504, 13603, 513, 1007, 4339, 609, 606, 2025, 15180, 269, 7507, 6368, 24013, 4319, 4625, 538, 476, 3707, 14514, 267, 759, 15659, 547, 23372, 3079, 540, 1490, 1393, 3196, 269, 25737, 901, 4518, 654, 817, 517, 267, 667, 269, 700, 269, 630, 1001, 277, 267, 5130, 476, 4962, 1040, 901, 8545, 1847, 6368, 14593, 519, 2749, 883, 2962, 543, 513, 2112, 3459, 269, 8158, 689, 4179, 2517, 4178, 269, 534, 2615, 4318, 340, 270, 14835, 270, 5952, 272, 28918, 1677, 519, 5087, 941, 2826, 2335, 807, 267, 4436, 807, 267, 543, 717, 4954, 269, 834, 310, 3480, 4936, 7276, 1701, 2961, 628, 720, 1282, 519, 15722, 545, 12668, 2421, 808, 32667, 325, 341, 13199, 273, 630, 14276, 23792, 1040, 8921, 267, 7507, 5828, 922, 3007, 7532, 1189, 2509, 519, 26811, 753, 543, 10255, 910, 513, 1279, 532, 602, 1131, 3142, 827, 519, 2185, 24765, 20897, 610, 19129, 569, 6929, 12668, 269, 901, 12689, 13071, 1866, 1121, 1460, 267, 17408, 752, 267, 543, 1628, 2390, 713, 1543, 1875, 10687, 14293, 569, 267, 607, 1279, 607, 789, 5491, 519, 2278, 543, 12689, 741, 1007, 13144, 896, 519, 9838, 2474, 269, 1677, 519, 7178, 543, 5045, 1189, 2059, 3345, 4000, 267, 519, 10504, 3769, 3571, 3966, 807, 267, 8575, 675, 11927, 807, 267, 543, 6613, 573, 807, 269, 2991, 519, 2887, 540, 7507, 538, 476, 5325, 277, 9460, 713, 9456, 3368, 1131, 2611, 543, 1831, 267, 538, 942, 267, 519, 20850, 7276, 269, 6423, 519, 3262, 540, 519, 4936, 7276, 609, 891, 11265, 13300, 538, 21621, 11182, 269, 634, 10504, 1282, 713, 1482, 942, 1185, 6738, 689, 476, 275, 267, 6187, 274, 267, 1822, 11317, 538, 476, 2764, 14514, 547, 476, 275, 267, 280, 4391, 267, 1822, 11317, 538, 476, 1691, 9460, 269, 5680, 269, 901, 568, 711, 693, 782, 547, 3409, 602, 23323, 657, 3780, 594, 779, 12081, 3366, 547, 519, 1439, 540, 519, 5375, 4936, 7276, 269, 24789, 334, 6964, 519, 20096, 6205, 23323, 7595, 630, 331, 831, 1634, 607, 23323, 7595, 519, 4279, 267, 678, 269, 476, 5392, 274, 268, 276, 2918, 9460, 264, 547, 14710, 7629, 639, 855, 1287, 23323, 7595, 5828, 1010, 23773, 7952, 593, 24789, 334, 543, 31862, 269, 5221, 540, 741, 1445, 593, 519, 19129, 569, 20379, 543, 17722, 966, 267, 7507, 7620, 8959, 547, 2097, 547, 519, 5351, 540, 519, 2749, 269, 25048, 701, 344, 519, 4279, 1131, 968, 1042, 3863, 519, 4786, 892, 538, 519, 9456, 11335, 689, 519, 4563, 7256, 547, 16850, 543, 883, 7225, 20660, 269, 7490, 4063, 602, 1543, 5532, 689, 713, 2985, 949, 723, 1114, 24416, 2474, 269, 634, 14829, 729, 1031, 711, 1152, 547, 23754, 519, 2551, 855, 849, 547, 682, 11803, 9204, 543, 3049, 519, 17069, 864, 267, 855, 2094, 519, 14829, 729, 1759, 593, 3959, 543, 15114, 267, 835, 1590, 2243, 945, 729, 3769, 538, 519, 3803, 512, 958, 269, 1849, 29141, 547, 7977, 543, 547, 519, 7532, 941, 24765, 517, 267, 10255, 267, 631, 3996, 807, 267, 543, 667, 29716, 269, 31217, 1131, 1831, 519, 1007, 17169, 543, 519, 7276, 729, 28703, 543, 609, 621, 606, 5736, 1634, 607, 519, 623, 1314, 4936, 320, 610, 4936, 4708, 7153, 269, 3509, 540, 519, 4130, 25267, 2059, 519, 1259, 2968, 4936, 7817, 2829, 610, 16167, 543, 782, 941, 8078, 730, 547, 3761, 12927, 906, 547, 519, 4936, 7952, 269, 7507, 729, 1631, 519, 2101, 1379, 540, 519, 25345, 543, 547, 5150, 713, 1379, 789, 3964, 10125, 2429, 7977, 269, 14890, 16874, 6929, 630, 14056, 1107, 476, 15946, 9460, 264, 6956, 519, 991, 585, 968, 321, 7451, 892, 543, 1131, 882, 22055, 880, 519, 3338, 22482, 676, 3004, 13568, 269, 634, 936, 3146, 18910, 593, 10553, 4074, 3576, 6009, 2476, 689, 519, 2539, 5049, 945, 1287, 16941, 593, 1857, 6351, 543, 519, 4505, 3181, 848, 618, 540, 519, 9304, 896, 20029, 574, 639, 590, 1197, 639, 1185, 1831, 513, 3609, 540, 2663, 900, 30752, 267, 4611, 538, 10637, 269, 2353, 519, 23801, 6411, 538, 8744, 1524, 519, 7276, 941, 5645, 856, 676, 1004, 12394, 547, 1711, 513, 1732, 2990, 585, 2933, 1369, 519, 12204, 540, 11440, 3889, 602, 1185, 11478, 538, 519, 8772, 2540, 269, 9147, 3778, 15610, 269, 9147, 3778, 15610, 7690, 568, 513, 1875, 17416, 3919, 269, 5502, 267, 519, 14130, 2366, 717, 333, 30906, 12397, 601, 3780, 2480, 760, 1470, 543, 1010, 7015, 6583, 2993, 639, 547, 4323, 2961, 628, 698, 15687, 22590, 538, 8050, 269, 8033, 5224, 547, 12314, 5128, 609, 4077, 12661, 27158, 267, 32572, 594, 1185, 5128, 29064, 17169, 540, 634, 10513, 4936, 7276, 540, 5125, 538, 476, 280, 7830, 9460, 269, 3245, 602, 942, 593, 1189, 268, 585, 519, 1985, 1896, 5553, 910, 7507, 4797, 547, 1332, 543, 3262, 922, 12106, 540, 3310, 2429, 519, 11335, 3148, 269, 769, 4000, 8575, 675, 11927, 807, 267, 27988, 807, 543, 25448, 849, 2968, 7817, 2829, 269, 769, 476, 20720, 9460, 267, 519, 17169, 12138, 590, 1197, 639, 630, 337, 269, 476, 19442, 268, 20720, 9460, 264, 729, 18272, 3990, 676, 1010, 1378, 10136, 945, 5433, 646, 729, 711, 9117, 538, 741, 1655, 4690, 269, 13536, 267, 538, 476, 4489, 14514, 4165, 747, 565, 639, 540, 16850, 22415, 1117, 1010, 7952, 883, 10255, 269, 634, 17323, 540, 18135, 2692, 281, 1323, 2296, 22564, 267, 609, 4985, 543, 1862, 11300, 12780, 21922, 9539, 517, 4467, 14293, 27691, 732, 2704, 833, 269, 6736, 1312, 3330, 543, 3544, 4229, 267, 519, 4262, 2968, 1018, 814, 1044, 17941, 513, 4936, 10720, 269, 769, 942, 267, 621, 2968, 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 ]
[ 971, 513, 2361, 267, 519, 6475, 543, 9436, 30809, 538, 606, 715, 309, 4099, 616, 13745, 998, 513, 1769, 24975, 5872, 269, 14171, 5413, 540, 713, 3959, 267, 519, 2319, 1031, 513, 5311, 540, 1769, 20512, 547, 1305, 519, 9436, 30809, 538, 606, 26254, 540, 715, 309, 7740, 883, 835, 8095, 1533, 269, 1358, 1287, 1577, 519, 30809, 11457, 585, 476, 273, 1984, 1047, 6948, 1354, 2542, 856, 519, 1007, 8095, 1533, 1210, 513, 2034, 5311, 540, 20512, 563, 1607, 1224, 13050, 1900, 3576, 5413, 540, 1776, 10375, 3959, 540, 715, 309, 7740, 281, 519, 1533, 540, 519, 6475, 30809, 11652, 8754, 519, 6046, 30809, 1765, 4754, 581, 18505, 1042, 689, 519, 2179, 540, 1769, 19501, 689, 519, 715, 309, 7740, 269, 15585, 908, 519, 3760, 7444, 267, 693, 513, 3432, 540, 1447, 982, 835, 4838, 829, 2034, 267, 519, 3173, 6027, 519, 8515, 540, 519, 19501, 1769, 543, 1031, 713, 5365, 547, 5173, 519, 3760, 10047, 3432, 563, 24916, 3246, 14764, 543, 1224, 719, 267, 519, 6475, 30809, 849, 5129, 513, 6281, 1909, 538, 7494, 5355, 519, 6111, 540, 519, 7403, 267, 13019, 574, 990, 3081, 269, 1635, 5464, 519, 6475, 30809, 267, 519, 2319, 1223, 2953, 585, 513, 6419, 1922, 1752, 1198, 602, 3123, 606, 3606, 10047, 540, 519, 6046, 30809, 269, 634, 2319, 13761, 741, 14934, 14029, 2100, 1996, 513, 5010, 2890, 19491, 4435, 22817, 1949, 630, 300, 32209, 264, 14934, 14029, 2100, 543, 1336, 1434, 6876, 269, 13019, 574, 990, 3081, 519, 715, 309, 14934, 14029, 2100, 1223, 723, 606, 5413, 936, 824, 14934, 14029, 8554, 538, 602, 621, 1131, 711, 991, 3586, 973, 531, 12299, 563, 5194, 5413, 568, 602, 14776, 14848, 666, 581, 7471, 883, 4540, 2890, 577, 760, 2029, 811, 3362, 982, 3154, 2861, 3457, 666, 269, 968, 763, 4396, 15581, 2470, 540, 519, 9300, 568, 513, 5458, 5413, 2223, 3081, 21997, 667, 2466, 787, 14863, 12027, 540, 519, 29312, 717, 9790, 6199, 2160, 538, 5125, 267, 4171, 1382, 1895, 1101, 6700, 713, 1935, 538, 476, 1001, 273, 269, 13019, 574, 990, 543, 9164, 616, 1631, 9910, 4405, 1944, 741, 14934, 14029, 2100, 865, 602, 621, 1522, 5555, 3514, 593, 513, 2890, 577, 760, 269, 968, 6624, 1919, 666, 581, 4824, 547, 1118, 519, 3926, 4130, 2223, 13019, 574, 990, 3081, 563, 15812, 29246, 534, 534, 568, 513, 28479, 766, 2257, 5856, 945, 10943, 1080, 1010, 942, 1063, 589, 6199, 822, 10154, 267, 5177, 267, 543, 3502, 516, 667, 877, 632, 595, 2293, 517, 267, 5333, 563, 268, 966, 269, 966, 269, 590, 657, 1156, 14150, 1696, 620, 1421, 968, 301, 13086, 8095, 14934, 14029, 2100, 1759, 593, 519, 9436, 7477, 3599, 4099, 538, 14776, 2223, 4284, 269, 4860, 269, 32731, 269, 476, 14695, 267, 476, 3192, 3583, 273, 630, 1708, 272, 1040, 0, 1692, 798, 594, 5299, 513, 14853, 333, 841, 538, 17948, 888, 296, 8910, 899, 547, 13594, 513, 14853, 333, 841, 883, 1250, 9185, 6656, 267, 513, 17948, 13472, 267, 513, 6478, 3561, 267, 610, 1250, 12449, 1982, 269, 1215, 666, 594, 5299, 513, 14853, 333, 841, 547, 519, 17157, 4580, 286, 3807, 29964, 707, 10856, 936, 519, 3403, 610, 3977, 1591, 267, 1287, 13472, 519, 10856, 24072, 936, 519, 14853, 333, 841, 269, 9406, 26487, 543, 2824, 25767, 563, 1692, 798, 596, 12575, 513, 14853, 333, 841, 538, 17948, 888, 2419, 4474, 774, 3518, 333, 841, 16103, 538, 17948, 454, 268, 8437, 519, 8837, 3399, 7735, 543, 1826, 2973, 16936, 337, 4553, 676, 9373, 630, 528, 4945, 2598, 330, 2973, 5346, 950, 621, 5526, 994, 268, 5269, 2386, 519, 774, 3518, 333, 5661, 2638, 4216, 568, 8743, 539, 693, 519, 5377, 540, 519, 1592, 267, 4945, 15528, 267, 4553, 676, 1546, 8541, 28567, 563, 268, 3619, 1394, 547, 3758, 24413, 7933, 525, 330, 9008, 543, 2046, 674, 276, 563, 1432, 568, 513, 17948, 14853, 333, 841, 888, 2108, 1320, 3518, 333, 841, 892, 568, 519, 2165, 1031, 547, 4766, 513, 20538, 4528, 540, 513, 13472, 538, 6881, 3301, 269, 898, 12090, 609, 8642, 9858, 945, 1500, 6263, 8747, 540, 1454, 3677, 2592, 585, 946, 1282, 519, 4058, 5933, 540, 6272, 269, 589, 14853, 333, 841, 729, 1175, 513, 1454, 4130, 4528, 540, 513, 3677, 3239, 563, 1692, 798, 596, 4688, 513, 13334, 14853, 333, 841, 888, 268, 6178, 538, 547, 13334, 22456, 563, 268, 3245, 519, 2451, 10624, 267, 2824, 12474, 563, 268, 8564, 513, 3381, 676, 14467, 922, 14853, 333, 841, 563, 268, 7201, 968, 1320, 3518, 333, 841, 5608, 2824, 772, 22744, 14853, 333, 841, 563, 268, 7994, 519, 3758, 596, 8910, 899, 547, 946, 607, 707, 2688, 14853, 333, 841, 563, 268, 8564, 16440, 269, 0, 7883, 547, 519, 6301, 13677, 29190, 543, 17719, 18482, 9612, 8525, 454, 302, 3316, 267, 5800, 6289, 19923, 559, 322, 267, 1488, 4445, 961, 28790, 563, 347, 7582, 305, 10573, 301, 300, 476, 279, 3953, 3393, 476, 18231, 4962, 2008, 347, 309, 1068, 269, 16186, 10573, 277, 544, 2008, 763, 14629, 8375, 593, 519, 1318, 568, 1634, 607, 14480, 340, 600, 327, 30298, 7398, 1496, 291, 684, 340, 629, 691, 747, 286, 4940, 901, 2012, 7677, 8460, 513, 1434, 14745, 540, 602, 8984, 799, 3029, 865, 7986, 513, 4183, 538, 22469, 562, 32393, 1155, 267, 1141, 268, 676, 519, 32330, 7592, 540, 513, 1747, 723, 1044, 9788, 3180, 540, 267, 543, 1500, 547, 798, 3028, 538, 519, 25084, 23476, 269, 14480, 267, 568, 513, 14629, 3228, 267, 579, 600, 327, 267, 513, 13946, 267, 543, 4996, 7398, 1797, 513, 2823, 269, 2201, 519, 14629, 972, 4440, 729, 693, 835, 1974, 513, 6830, 6902, 693, 922, 3490, 972, 568, 513, 13946, 6902, 15029, 547, 519, 2370, 15922, 267, 5800, 333, 4545, 340, 850, 267, 2673, 693, 1688, 267, 538, 519, 13272, 540, 23715, 516, 571, 14675, 267, 729, 530, 2632, 547, 2097, 519, 7542, 787, 1532, 13331, 689, 23715, 516, 571, 1279, 1354, 519, 1459, 7542, 787, 729, 538, 6228, 2433, 8754, 519, 1542, 566, 540, 519, 2262, 267, 519, 14629, 270, 3228, 540, 519, 2823, 269, 1496, 300, 871, 599, 781, 6651, 267, 476, 6245, 278, 2639, 21446, 622, 18780, 281, 7183, 6592, 563, 24687, 281, 634, 13946, 5018, 814, 711, 1044, 10272, 630, 528, 6592, 264, 538, 2413, 2053, 865, 949, 711, 581, 693, 519, 10974, 2016, 563, 22134, 5766, 1429, 545, 3171, 2644, 281, 7183, 454, 22134, 5766, 1429, 545, 1763, 4026, 1878, 281, 7183, 454, 299, 3855, 543, 8249, 912, 1607, 7127, 729, 2063, 8242, 281, 476, 1708, 273, 268, 4905, 268, 2537, 476, 1704, 281, 7906, 281, 1789, 454, 11293, 5558, 610, 9631, 3827, 538, 713, 1344, 286, 4427, 2466, 28303, 270, 611, 1885, 270, 1260, 906, 585, 713, 7127, 547, 519, 7373, 337, 1513, 563, 5472, 6538, 1543, 14645, 476, 1708, 273, 12896, 335, 1014, 4325, 548, 1670, 6828, 563, 16158, 3204, 3588, 3301, 676, 20917, 30576, 8124, 269, 0, 293, 3224, 4536, 538, 31814, 476, 1839, 4989, 476, 1708, 273, 1923, 476, 1708, 273, 269, 476, 1724, 269, 476, 279, 3374, 27123, 563, 301, 987, 4888, 267, 4825, 333, 752, 20783, 681, 297, 267, 14731, 589, 267, 932, 2867, 686, 623, 267, 774, 23981, 715, 267, 932, 3430, 641, 611, 1506, 599, 590, 563, 2005, 568, 5051, 1373, 6444, 602, 4049, 8819, 1238, 31829, 531, 3676, 971, 607, 890, 10364, 22377, 543, 23441, 2860, 616, 711, 1175, 519, 4093, 540, 4477, 545, 14385, 28894, 9461, 3968, 538, 519, 7181, 269, 13298, 267, 1312, 3676, 1020, 543, 3356, 1813, 547, 519, 3501, 15420, 2813, 676, 513, 4999, 540, 2789, 2188, 971, 607, 519, 4082, 540, 1114, 670, 269, 28894, 9461, 2205, 18834, 5946, 267, 3702, 550, 1480, 4761, 6114, 267, 543, 7988, 6798, 2670, 538, 16063, 18117, 2345, 269, 769, 713, 9910, 2689, 267, 649, 723, 5941, 875, 519, 25450, 540, 670, 269, 28894, 9461, 543, 824, 16063, 17973, 607, 1134, 607, 519, 25450, 540, 1114, 1480, 5095, 31391, 1950, 543, 4756, 2205, 592, 727, 268, 6375, 727, 16799, 267, 799, 7506, 8819, 1238, 31829, 531, 1072, 269, 634, 10636, 10942, 885, 602, 616, 24290, 538, 519, 25450, 540, 1114, 1480, 5095, 543, 538, 519, 25450, 540, 741, 9757, 17055, 17973, 14356, 2491, 519, 29927, 538, 4791, 4093, 1851, 519, 670, 269, 28894, 9461, 29795, 539, 1004, 269, 0, 1103, 519, 9891, 3590, 19305, 267, 596, 666, 2263, 519, 10785, 543, 18477, 3615, 1472, 938, 1378, 3141, 269, 6258, 827, 3584, 971, 607, 9370, 267, 18347, 543, 519, 9855, 563, 5415, 3163, 11762, 547, 10812, 912, 2252, 596, 4952, 519, 5216, 2101, 10785, 538, 513, 2582, 1899, 15198, 856, 689, 519, 3141, 267, 713, 12972, 4386, 10199, 1169, 476, 1724, 269, 275, 18265, 1296, 269, 1656, 938, 3859, 1062, 568, 476, 275, 269, 276, 5479, 1296, 2025, 563, 6624, 1004, 5326, 540, 16246, 6778, 31231, 560, 267, 855, 1018, 952, 621, 941, 2009, 547, 4336, 519, 5207, 7823, 538, 519, 3859, 1062, 286, 2334, 7823, 568, 811, 982, 7466, 607, 7381, 607, 31231, 560, 256, 1924, 267, 1141, 568, 621, 888, 763, 575, 1122, 839, 3832, 514, 267, 834, 325, 5593, 1769, 257, 538, 4436, 267, 4386, 896, 1360, 1808, 24666, 2175, 950, 519, 3141, 10301, 519, 3169, 6587, 540, 3047, 689, 16382, 596, 2811, 588, 1173, 5074, 563, 15900, 4158, 1648, 267, 513, 1106, 540, 4158, 1648, 602, 949, 723, 11478, 513, 1906, 4627, 8536, 1296, 1310, 519, 2462, 29907, 267, 1223, 948, 12172, 519, 7122, 781, 2557, 540, 7269, 269, 1809, 922, 6228, 18387, 1405, 1044, 8810, 563, 763, 9370, 3859, 14966, 4386, 1169, 1079, 1296, 543, 4229, 8331, 547, 3247, 14379, 609, 7221, 593, 519, 4414, 14136, 269, 1924, 1018, 781, 519, 4308, 888, 14722, 723, 4767, 30303, 540, 2473, 17530, 4947, 689, 3297, 513, 2706, 21346, 633, 3109, 8559, 267, 5812, 609, 15751, 18160, 781, 12605, 602, 5393, 1804, 3615, 666, 18846, 1769, 563, 2791, 917, 21275, 543, 19026, 543, 9370, 543, 3267, 930, 1866, 269, 2052, 596, 2322, 519, 5216, 10785, 540, 519, 3859, 1062, 538, 519, 2953, 1931, 286, 1703, 616, 1896, 2081, 547, 798, 713, 563, 306, 675, 569, 596, 4312, 14478, 9748, 540, 10877, 1115, 538, 707, 10715, 269, 1809, 723, 596, 2479, 2938, 519, 23863, 543, 519, 7599, 23438, 8195, 286, 1772, 602, 1256, 2009, 888, 15371, 621, 781, 513, 3859, 24256, 267, 513, 14368, 17643, 610, 519, 10131, 540, 519, 1279, 268, 11867, 1243, 6276, 30197, 6611, 23571, 267, 476, 1708, 272, 814, 513, 2603, 547, 2709, 563, 763, 21408, 656, 1749, 616, 513, 2110, 855, 3532, 14368, 17643, 602, 2982, 909, 538, 2038, 5130, 269, 1215, 666, 596, 19214, 621, 888, 2791, 1522, 1289, 621, 513, 8285, 27803, 269, 18347, 543, 21275, 786, 5447, 865, 5702, 789, 949, 1413, 899, 513, 5595, 4541, 269, 634, 2063, 942, 649, 4718, 713, 729, 538, 476, 14338, 277, 563, 9336, 15489, 267, 3047, 10596, 998, 513, 6908, 540, 11935, 2451, 676, 16199, 2917, 781, 28661, 267, 4611, 538, 30148, 14368, 29636, 538, 4571, 268, 19751, 269, 634, 1655, 942, 713, 1032, 568, 4239, 269, 476, 736, 268, 2641, 563, 2005, 781, 513, 18477, 10516, 538, 519, 1647, 540, 4864, 269, 3807, 1413, 909, 585, 513, 20498, 8289, 563, 1103, 476, 4198, 274, 267, 2836, 24728, 2520, 32554, 626, 1849, 1515, 4793, 1562, 517, 3357, 909, 609, 606, 7447, 585, 3047, 781, 2085, 602, 1869, 6585, 2221, 563, 763, 7599, 814, 2938, 513, 2603, 538, 922, 476, 275, 269, 276, 2929, 1296, 540, 1272, 267, 543, 513, 2143, 1007, 27230, 4786, 5713, 607, 15266, 563, 9336, 4989, 267, 519, 10370, 5090, 14368, 17643, 25361, 519, 6607, 609, 15246, 6801, 269, 3371, 781, 875, 547, 1294, 873, 538, 476, 1708, 273, 563, 3528, 4460, 2494, 322, 7236, 454, 25823, 1248, 568, 519, 15795, 4541, 689, 519, 3141, 543, 519, 2034, 4102, 4541, 538, 519, 3859, 1062, 269, 898, 814, 606, 5863, 8258, 1062, 543, 476, 11025, 24262, 256, 1656, 1705, 649, 2446, 602, 621, 781, 606, 1073, 14075, 1158, 602, 5526, 2695, 1639, 3168, 888, 3528, 4460, 2494, 322, 7236, 0, 11514, 2452, 532, 3009, 538, 17948, 4667, 547, 581, 513, 1928, 269, 594, 3357, 909, 609, 513, 2241, 1259, 547, 1205, 16105, 10223, 538, 1379, 9557, 1210, 27707, 29878, 717, 626, 269, 1703, 949, 581, 1732, 2081, 540, 3257, 713, 267, 855, 594, 1336, 713, 1259, 547, 581, 519, 1034, 10375, 585, 803, 593, 513, 5839, 912, 268, 25767, 3009, 689, 12363, 630, 528, 8726, 3498 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6679, 1349, 267, 4648, 2324, 538, 2825, 2533, 1404, 513, 2565, 1909, 538, 5466, 1979, 846, 2579, 6937, 269, 1635, 9363, 32448, 540, 6932, 9431, 10850, 899, 519, 22085, 293, 476, 275, 2918, 7025, 15557, 9208, 585, 5395, 951, 267, 4966, 899, 6004, 269, 645, 1442, 948, 2327, 602, 3549, 7500, 538, 13076, 609, 1655, 2853, 585, 5883, 5732, 13818, 2326, 543, 3157, 269, 5015, 267, 741, 9525, 538, 26639, 6131, 547, 3044, 1944, 3616, 541, 762, 6878, 538, 2326, 5713, 547, 3895, 11413, 543, 12477, 1369, 6080, 1141, 1979, 846, 2579, 6937, 949, 8451, 780, 1103, 3932, 267, 519, 1686, 540, 6211, 543, 3114, 13137, 568, 6825, 676, 13249, 8320, 540, 1480, 28877, 543, 23304, 731, 585, 1272, 269, 8616, 9624, 713, 14334, 267, 972, 616, 1350, 9404, 619, 540, 4126, 538, 519, 1106, 540, 3486, 9316, 543, 519, 10661, 540, 3656, 8155, 6322, 693, 1225, 6883, 519, 10782, 4430, 525, 540, 891, 683, 325, 13895, 2853, 269, 1677, 3927, 8396, 1979, 846, 2579, 6937, 267, 621, 568, 1651, 3518, 550, 2390, 721, 607, 5640, 267, 9439, 267, 543, 4961, 547, 2611, 21713, 267, 5483, 267, 543, 7722, 538, 519, 5571, 6560, 547, 2149, 6000, 543, 2104, 5481, 689, 519, 1085, 28123, 540, 6211, 543, 3114, 14049, 787, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10481, 32015, 814, 1044, 609, 570, 10013, 28039, 514, 1633, 2094, 2904, 540, 476, 1220, 272, 543, 568, 4867, 3238, 538, 3384, 543, 3395, 1870, 585, 7025, 7896, 1519, 10162, 9391, 267, 11555, 21815, 267, 654, 18501, 543, 13995, 547, 1683, 513, 2407, 2039, 540, 7025, 7896, 547, 938, 7218, 269, 1261, 5063, 8678, 519, 22085, 293, 476, 275, 2918, 7025, 15557, 9208, 585, 5395, 951, 543, 568, 519, 17130, 6828, 26064, 585, 968, 27802, 1734, 540, 19634, 333, 1848, 2983, 32015, 2488, 2866, 543, 29468, 585, 7218, 945, 2154, 10220, 547, 4441, 543, 6042, 1472, 519, 8608, 563, 10481, 32015, 645, 1442, 3323, 856, 607, 606, 11633, 7557, 10320, 23910, 585, 570, 10013, 28039, 514, 1633, 3345, 3013, 538, 2904, 540, 476, 1220, 272, 269, 769, 476, 1220, 275, 646, 8678, 519, 30680, 674, 2412, 630, 5719, 743, 541, 762, 15240, 1734, 538, 10049, 264, 9730, 543, 729, 513, 1016, 1260, 2466, 6590, 11464, 585, 476, 279, 1296, 269, 4595, 476, 1220, 272, 267, 2983, 32015, 814, 4371, 971, 7158, 607, 11633, 7557, 10320, 23910, 267, 13636, 19833, 15440, 267, 5741, 15440, 10162, 9391, 1299, 654, 18501, 267, 18947, 6355, 4886, 15440, 543, 4867, 10615, 540, 7025, 7896, 269, 13405, 547, 2324, 585, 570, 10013, 28039, 514, 1633, 540, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18693, 846, 2579, 21784, 338, 257, 607, 851, 540, 834, 19615, 1315, 13639, 1315, 18143, 1299, 11906, 2782, 11071, 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, 17345, 5149, 281, 4985, 547, 29790, 543, 14691, 998, 519, 30776, 540, 3778, 692, 8893, 476, 272, 281, 4197, 7605, 1824, 543, 14691, 692, 8702, 547, 938, 1101, 3992, 256, 5620, 596, 2479, 9289, 875, 11608, 616, 1500, 610, 1018, 5752, 1797, 286, 4270, 267, 4898, 1100, 811, 256, 1284, 2811, 2469, 547, 1451, 782, 827, 621, 780, 21659, 1824, 616, 6191, 2966, 547, 1685, 4247, 8238, 558, 3585, 610, 10859, 22052, 517, 558, 3585, 269, 901, 1797, 789, 666, 7500, 10446, 610, 609, 930, 1480, 5583, 269, 1358, 2097, 538, 1082, 5546, 543, 7306, 267, 689, 519, 8773, 12511, 15777, 602, 18274, 707, 2777, 1247, 596, 3207, 267, 547, 519, 18951, 7916, 1031, 538, 1286, 5663, 2371, 780, 25284, 2719, 267, 849, 1634, 607, 8193, 267, 568, 519, 1184, 540, 4758, 5528, 547, 513, 2780, 610, 3684, 865, 602, 621, 15824, 1808, 3252, 269, 1635, 1603, 3009, 267, 649, 666, 2995, 513, 8773, 1018, 547, 798, 267, 950, 547, 798, 621, 267, 543, 875, 547, 2746, 547, 1114, 3871, 780, 4131, 781, 2119, 513, 2241, 3635, 547, 1174, 5752, 1732, 269, 5994, 596, 1616, 547, 27106, 513, 14735, 269, 3689, 267, 596, 5531, 782, 519, 5820, 910, 7912, 267, 4006, 267, 5798, 267, 3092, 269, 3973, 267, 596, 1246, 513, 11600, 602, 6645, 596, 4010, 1018, 547, 798, 543, 538, 1018, 1931, 910, 3575, 519, 3819, 5820, 267, 10726, 519, 5798, 267, 9192, 3388, 267, 13248, 883, 513, 3443, 267, 543, 27106, 269, 3807, 899, 1739, 513, 11600, 267, 513, 2780, 5205, 513, 1305, 540, 5528, 1572, 513, 1982, 547, 9585, 513, 4305, 780, 1103, 713, 1576, 1770, 267, 649, 786, 2263, 17562, 543, 5752, 2035, 1210, 1187, 543, 7317, 3785, 269, 1809, 1354, 649, 4685, 883, 2679, 11608, 267, 1577, 781, 1491, 513, 1900, 1394, 543, 1294, 875, 2029, 814, 12936, 1686, 267, 4481, 1282, 2622, 2782, 4083, 780, 8893, 476, 273, 281, 5303, 4438, 2622, 2782, 4083, 692, 7628, 2622, 2782, 4083, 267, 1007, 4066, 7153, 602, 4957, 13137, 11014, 269, 2290, 971, 2029, 729, 519, 946, 540, 5904, 585, 3009, 12577, 269, 634, 3703, 2229, 3964, 513, 1283, 5498, 4038, 9744, 1572, 645, 2280, 577, 2917, 5244, 1141, 22697, 543, 8030, 5249, 24091, 547, 2736, 4436, 9479, 269, 4635, 2038, 8747, 540, 5904, 267, 789, 7307, 547, 21264, 24290, 6835, 267, 3246, 3407, 4987, 547, 519, 27469, 780, 5194, 1858, 540, 6639, 13120, 729, 4915, 269, 10251, 267, 713, 3356, 3357, 693, 513, 15265, 1942, 269, 6481, 6901, 5342, 676, 13303, 7189, 1282, 519, 14195, 8507, 538, 27337, 881, 4093, 585, 9118, 2043, 269, 1717, 267, 891, 2621, 5031, 519, 1379, 540, 2257, 543, 2029, 267, 1256, 950, 1031, 585, 683, 325, 13895, 5301, 780, 5978, 1985, 1788, 786, 6338, 596, 547, 5752, 3741, 1247, 1565, 827, 835, 4807, 781, 6909, 6668, 1650, 1282, 519, 14195, 780, 8893, 476, 274, 281, 8490, 513, 11822, 15636, 910, 2871, 3660, 676, 513, 15552, 781, 17714, 692, 25603, 5345, 320, 7720, 8240, 31704, 267, 513, 31848, 540, 519, 14195, 945, 28815, 796, 19960, 514, 762, 23434, 607, 513, 1126, 269, 3414, 1200, 4222, 543, 6043, 267, 1352, 2968, 606, 12167, 585, 19807, 543, 10892, 269, 1284, 786, 1451, 827, 1200, 1272, 543, 2833, 998, 513, 1433, 2854, 676, 1200, 267, 834, 296, 4024, 13363, 1411, 3010, 2690, 938, 3803, 1788, 267, 649, 786, 1711, 513, 2241, 7762, 6273, 676, 5345, 320, 781, 3460, 269, 634, 7762, 786, 6330, 998, 513, 28618, 267, 8204, 519, 2591, 543, 9465, 1352, 5185, 269, 13966, 519, 1259, 267, 519, 7762, 786, 4159, 6835, 5009, 11587, 267, 1620, 267, 543, 10343, 780, 8794, 19444, 7888, 2645, 899, 2480, 337, 2255, 610, 13332, 569, 267, 649, 786, 3391, 938, 7762, 998, 519, 28618, 676, 5752, 922, 5322, 1759, 593, 11378, 689, 8596, 269, 1280, 1383, 267, 649, 1223, 946, 1769, 8596, 547, 3713, 4158, 2127, 538, 519, 28618, 267, 1129, 4328, 2352, 2053, 538, 5345, 320, 781, 1272, 269, 1879, 25884, 891, 6810, 267, 519, 7762, 1522, 3500, 1524, 543, 4159, 606, 11121, 10839, 689, 5345, 320, 780, 3528, 9256, 3140, 2796, 609, 3946, 6823, 1995, 538, 5752, 267, 649, 4126, 547, 8141, 7279, 543, 8300, 2104, 3048, 2209, 543, 17519, 3401, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 19688, 476, 1704, 268, 1240, 786, 1665, 962, 558, 12794, 4537, 334, 1695, 630, 29804, 12151, 3816, 27320, 4303, 1040, 769, 476, 1001, 279, 267, 1310, 7680, 454, 27463, 1078, 24431, 30146, 543, 4743, 513, 991, 547, 798, 1945, 827, 621, 267, 594, 1558, 5345, 320, 31704, 267, 945, 1185, 15068, 26401, 607, 513, 1126, 269, 28611, 782, 1453, 1131, 723, 1044, 2366, 5612, 547, 741, 7972, 538, 519, 3154, 20830, 267, 855, 1317, 1352, 729, 513, 18618, 267, 1352, 543, 1200, 11078, 941, 3144, 538, 607, 25647, 14918, 585, 513, 13303, 4387, 547, 4603, 593, 563, 292, 9366, 1767, 14195, 2069, 538, 3506, 267, 952, 621, 4523, 693, 782, 267, 4523, 693, 476, 1321, 610, 4587, 267, 543, 602, 779, 1932, 3735, 1317, 519, 28639, 616, 2907, 4646, 269, 594, 3858, 609, 1200, 267, 543, 713, 3366, 721, 547, 960, 1927, 547, 1205, 1200, 1650, 1524, 585, 1453, 269, 3776, 1433, 267, 594, 4024, 13363, 1411, 267, 25361, 513, 7934, 538, 14195, 543, 24431, 30146, 2069, 585, 1647, 3446, 3988, 269, 4173, 1592, 2221, 568, 476, 1015, 5753, 779, 7734, 585, 14195, 3816, 27320, 4303, 267, 962, 558, 12794, 4537, 334, 1695, 563, 296, 4024, 13363, 1411, 281, 589, 6936, 9452, 540, 3828, 1231, 5808, 18984, 1882, 26401, 676, 454, 292, 9366, 543, 1200, 9838, 18618, 11078, 267, 19257, 3554, 267, 1185, 513, 6140, 6126, 6689, 269, 4256, 338, 729, 519, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 3163, 1299, 7186, 1315, 31401, 1299, 18768, 1315, 29790, 543, 14691, 585, 30488, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 8274, 532, 3427, 12267, 910, 24531, 519, 22032, 540, 7111, 1977, 1855, 839, 692, 8702, 547, 938, 3460, 998, 27756, 1153, 2984, 256, 901, 1770, 6212, 593, 5708, 2854, 827, 7111, 1977, 12322, 945, 7390, 27756, 3506, 269, 1452, 2835, 666, 948, 721, 1174, 741, 2833, 1732, 543, 1451, 827, 741, 4529, 543, 5389, 269, 1924, 31617, 909, 267, 1317, 649, 2811, 2469, 547, 4685, 883, 930, 9159, 2984, 2439, 1262, 6637, 476, 272, 281, 1548, 616, 8274, 532, 12140, 15140, 5970, 596, 2479, 9289, 1018, 621, 1131, 581, 899, 547, 2661, 693, 707, 1153, 286, 4270, 267, 602, 781, 4010, 1018, 4523, 538, 27756, 3506, 256, 4841, 1175, 899, 596, 1205, 547, 1353, 267, 3548, 267, 3207, 267, 543, 1404, 782, 693, 519, 1482, 1747, 1107, 2476, 689, 1753, 269, 3509, 1296, 3516, 267, 972, 941, 2027, 27756, 3506, 2813, 4481, 585, 7111, 1977, 1453, 269, 1358, 4682, 972, 547, 1451, 2296, 267, 2979, 267, 2257, 267, 543, 824, 5396, 1247, 849, 5329, 741, 1378, 2686, 6561, 9800, 269, 2913, 781, 2263, 875, 891, 2189, 5238, 5280, 3337, 2729, 543, 2950, 780, 1262, 6637, 476, 273, 281, 11470, 5288, 27140, 4373, 3086, 602, 649, 917, 513, 2370, 3787, 827, 27756, 3506, 1577, 781, 2911, 827, 1079, 2010, 540, 2835, 281, 5708, 543, 15923, 269, 11470, 1797, 1500, 5346, 2984, 267, 1247, 15923, 8843, 1483, 2621, 610, 5013, 269, 1280, 1383, 267, 952, 2576, 11339, 827, 741, 2123, 1995, 11504, 513, 27756, 1153, 267, 602, 1131, 581, 15923, 269, 1809, 950, 4589, 1711, 3197, 543, 9035, 1305, 538, 27756, 3506, 267, 789, 2328, 5708, 269, 5637, 5686, 540, 2835, 1683, 3407, 4030, 883, 519, 2729, 540, 7111, 1977, 12322, 1282, 741, 942, 693, 27756, 3506, 780, 1262, 6637, 476, 274, 281, 18753, 26358, 1299, 16503, 3603, 7734, 4373, 5278, 540, 519, 1034, 4277, 27756, 1153, 2984, 2097, 538, 519, 1106, 540, 8642, 9089, 543, 11609, 2835, 269, 1452, 3308, 6386, 946, 5961, 2059, 609, 1913, 547, 2995, 2502, 8941, 269, 5994, 2348, 13371, 1433, 8440, 10213, 519, 1650, 7258, 4190, 2592, 18995, 1272, 693, 513, 27756, 1153, 269, 16319, 3579, 267, 1318, 286, 2368, 1004, 1522, 1589, 602, 1152, 15705, 2984, 2408, 607, 12449, 282, 2705, 267, 1082, 3584, 267, 1519, 27756, 1153, 2833, 267, 616, 4843, 1210, 713, 3898, 1932, 780, 1262, 6637, 476, 275, 281, 19889, 325, 655, 24452, 1299, 8836, 22627, 4373, 3080, 1271, 6249, 1336, 1369, 27756, 1153, 2984, 568, 10357, 325, 655, 24452, 269, 898, 949, 3280, 7294, 267, 855, 1810, 1405 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26596, 10496, 20041, 5441, 8711, 4702, 1374, 12449, 7548, 6307, 7788, 29965, 607, 851, 540, 513, 6468, 538, 13241, 3126, 538, 14966, 609, 6468, 779, 3778, 13600, 269, 17421, 5491, 281, 1656, 16699, 23849, 4302, 345, 267, 5842, 10496, 20041, 5441, 6725, 8257, 563, 5278, 540, 519, 1034, 14785, 11678, 538, 2221, 779, 13781, 616, 538, 519, 2257, 267, 2029, 267, 4702, 267, 543, 6128, 630, 23727, 264, 4610, 269, 769, 14966, 609, 6468, 779, 3778, 13600, 267, 543, 519, 1977, 5948, 585, 6468, 538, 7991, 30793, 2471, 630, 8150, 310, 6717, 264, 3084, 11036, 547, 1489, 2021, 538, 13241, 11678, 267, 5842, 10496, 20041, 5441, 630, 306, 297, 290, 264, 5654, 693, 4775, 12200, 3450, 1369, 891, 3292, 267, 543, 875, 789, 616, 5935, 519, 13241, 4610, 1169, 1554, 563, 26596, 10496, 20041, 5441, 2021, 538, 13241, 281, 6307, 7788, 29965, 454, 4517, 16699, 23849, 4302, 345, 734, 4728, 476, 277, 267, 476, 1001, 273, 454, 295, 5495, 4306, 2177, 2443, 7177, 1374, 12449, 7548, 6307, 7788, 29965, 814, 1044, 3450, 693, 5842, 10496, 20041, 5441, 630, 306, 297, 290, 264, 2094, 476, 2735, 277, 269, 13966, 609, 1373, 513, 7548, 267, 1352, 568, 849, 513, 10805, 4056, 543, 9703, 14704, 269, 12532, 883, 1022, 540, 1200, 26004, 267, 29772, 267, 610, 11265, 6030, 543, 596, 3580, 1265, 1200, 1053, 11235, 547, 1451, 543, 948, 1142, 824, 2059, 741, 1455, 6131, 4876, 10092, 563, 7922, 820, 568, 1869, 513, 12102, 538, 519, 4702, 5823, 540, 519, 13241, 4610, 269, 4340, 547, 513, 2487, 1867, 676, 519, 772, 2529, 269, 4972, 540, 25642, 13188, 543, 10803, 10029, 267, 538, 476, 1220, 280, 267, 476, 278, 269, 275, 2929, 4600, 941, 19040, 607, 2348, 13241, 2361, 11678, 267, 1818, 873, 1152, 476, 276, 269, 274, 2600, 540, 519, 772, 2529, 269, 13781, 269, 2986, 602, 6871, 267, 8030, 941, 519, 2034, 4102, 13241, 17163, 1895, 267, 855, 1152, 827, 835, 856, 540, 5722, 8030, 941, 4775, 267, 1818, 4702, 519, 1034, 5256, 26730, 3990, 13241, 2361, 563, 2108, 2791, 2731, 723, 547, 723, 513, 5462, 7287, 547, 1616, 547, 4283, 713, 4876, 2223, 3081, 29965, 269, 968, 2419, 1734, 616, 596, 2907, 917, 519, 4974, 3108, 602, 9114, 6619, 540, 596, 267, 865, 519, 4161, 3587, 5329, 3054, 5676, 1441, 547, 3251, 593, 1576, 540, 707, 3853, 3034, 4263, 1101, 267, 29965, 22002, 513, 8808, 4110, 269, 898, 7012, 1406, 1279, 2394, 1352, 7691, 602, 2979, 543, 6189, 941, 1018, 2731, 12592, 1200, 267, 865, 1310, 15175, 1200, 2101, 538, 476, 2735, 271, 267, 1352, 21783, 689, 519, 7147, 589, 261, 300, 2160, 5441, 540, 15339, 269, 5221, 540, 519, 11826, 4081, 543, 3318, 4170, 2877, 538, 519, 4702, 2872, 267, 29965, 7512, 1200, 1053, 547, 1265, 23003, 1369, 519, 2872, 945, 666, 18973, 873, 593, 1018, 1761, 12820, 1413, 585, 543, 547, 948, 873, 3060, 547, 1265, 22631, 4721, 543, 6009, 1310, 789, 2347, 741, 5232, 563, 7922, 820, 3081, 602, 1082, 2021, 945, 616, 1175, 4358, 856, 538, 519, 2872, 949, 711, 917, 519, 3255, 543, 2640, 519, 4702, 2361, 814, 547, 2709, 269, 968, 2467, 616, 6266, 540, 19957, 1565, 3255, 602, 616, 2731, 11791, 269, 1703, 616, 14908, 267, 29468, 267, 19150, 267, 1930, 8075, 267, 2228, 5049, 267, 12139, 4930, 267, 543, 4928, 5468, 782, 1305, 909, 547, 948, 596, 1451, 269, 1411, 2731, 798, 1205, 547, 2743, 1082, 7874, 267, 5363, 1004, 945, 1489, 707, 3853, 3034, 6097, 547, 519, 772, 2529, 269, 4972, 540, 25642, 267, 2021, 945, 3442, 513, 13241, 4876, 2619, 7118, 476, 3066, 2600, 2362, 5662, 569, 15271, 593, 3328, 982, 741, 9905, 945, 723, 9444, 513, 13241, 4110, 6862, 13241, 5829, 2816, 269, 968, 296, 2995, 782, 1250, 1053, 547, 1305, 741, 3853, 1164, 543, 2119, 741, 1655, 269, 1403, 596, 1616, 621, 3983, 2614, 596, 786, 1451, 1434, 1353, 6208, 267, 1491, 5413, 540, 23468, 267, 9263, 1489, 267, 543, 1034, 11932, 267, 2760, 581, 12922, 547, 2307, 585, 948, 269, 898, 568, 1271, 585, 513, 4807, 547, 581, 4830, 543, 723, 513, 4876, 1352, 14560, 269, 898, 2636, 1200, 547, 4473, 547, 1200, 1761, 543, 948, 2486, 3034, 10666, 5842, 10496, 20041, 5441, 454, 20776, 1037, 539, 676, 20375, 540, 1686, 267, 6080, 543, 17535, 16904, 540, 2221, 267, 543, 519, 2230, 2085, 540, 14182, 267, 5842, 10496, 20041, 5441, 814, 1044, 7674, 519, 4961, 540, 5101, 20831, 6019, 267, 7147, 267, 585, 811, 982, 476, 2004, 1296, 269, 634, 19793, 1324, 519, 14134, 26064, 5441, 568, 8149, 547, 519, 3853, 543, 17050, 540, 513, 3309, 2551, 540, 476, 1789, 267, 1822, 1053, 538, 811, 982, 476, 1220, 4110, 543, 15149, 3681, 267, 1519, 6280, 4483, 543, 4876, 7041, 269, 4841, 849, 4324, 689, 519, 5441, 779, 2816, 2866, 3292, 267, 12021, 585, 5870, 519, 2115, 540, 3395, 6080, 538, 519, 3148, 269, 5842, 10496, 20041, 5441, 20021, 3565, 5176, 1269, 30697, 2929, 1142, 1032, 547, 519, 7147, 13781, 269, 5842, 10496, 20041, 5441, 269, 2659, 17644, 269, 2659, 5441, 563, 2690, 811, 1344, 827, 5842, 10496, 20041, 5441, 267, 5225, 1289, 476, 27005, 268, 4200, 279, 268, 277, 1428, 271, 267, 610, 1246, 721, 593, 9365, 543, 12108, 269, 0, 268, 670, 294, 910, 13751, 3194, 454, 268, 918, 13697, 910, 2657, 12700, 454, 268, 31932, 5753, 454, 268, 24448, 910, 17323, 454, 268, 715, 3722, 334, 910, 4032, 625, 454, 268, 5244, 15187, 910, 20088, 454, 268, 3557, 8525, 454, 268, 2098, 292, 3201, 910, 30615, 454, 300, 12578, 29062, 267, 3557, 18780, 454, 289, 12864, 519, 1533, 781, 6698, 282, 1533, 3662, 267, 1533, 6177, 267, 1533, 8768, 267, 1533, 9206, 267, 1533, 8093, 267, 1533, 5521, 267, 1533, 2138, 1729, 267, 1533, 13021, 267, 1533, 3529, 267, 2681, 267, 7544, 267, 3165, 267, 25850, 267, 2575, 267, 2428, 267, 16277, 850, 13021, 267, 543, 3765, 3250, 10389, 1374, 725, 267, 900, 21793, 267, 543, 544, 2444, 582, 540, 1142, 1533, 609, 5961, 269, 4855, 5169, 540, 519, 1533, 2012, 269, 7348, 519, 1533, 620, 2006, 30929, 267, 1533, 28868, 543, 829, 2224, 1533, 5013, 543, 28135, 971, 607, 519, 1698, 20738, 267, 4087, 267, 543, 4266, 15861, 547, 519, 9769, 563, 303, 710, 10326, 3557, 910, 13876, 3278, 519, 3043, 12566, 3529, 267, 606, 13166, 11280, 1533, 3090, 269, 19051, 19299, 936, 476, 1704, 2929, 14143, 540, 7733, 454, 24874, 667, 597, 15282, 3557, 910, 3557, 2138, 1729, 267, 667, 597, 15282, 2676, 309, 659, 566, 1633, 910, 17821, 10824, 563, 27670, 540, 8745, 454, 5575, 1031, 547, 10646, 519, 22163, 689, 519, 21369, 10195, 269, 898, 814, 1044, 2808, 513, 5360, 2939, 547, 28741, 24297, 12756, 267, 15596, 540, 8176, 594, 540, 4789, 269, 2701, 729, 1767, 547, 723, 11262, 519, 11662, 540, 2904, 928, 538, 5333, 563, 2005, 568, 2731, 711, 1634, 875, 519, 2012, 585, 713, 1533, 12090, 269, 2290, 3069, 5267, 602, 519, 1533, 729, 3957, 676, 3943, 21152, 1310, 519, 3943, 11662, 540, 2904, 928, 269, 6271, 19528, 602, 834, 14611, 257, 729, 513, 1455, 2165, 547, 4766, 513, 22163, 454, 763, 2622, 1325, 2006, 659, 585, 8866, 6732, 2336, 19669, 13738, 2817, 11206, 0, 7374, 681, 6865, 7170, 281, 7585, 16535, 700, 864, 10435, 563, 1607, 7415, 2370, 8313, 593, 7131, 3568, 30824, 1818, 5528, 543, 3270, 2966, 585, 3450, 1453, 875, 547, 1118, 27342, 16535, 30824, 563, 1432, 568, 7585, 16535, 700, 864, 888, 7692, 16535, 30824, 267, 849, 1634, 607, 10788, 578, 30824, 267, 568, 513, 30824, 19135, 1500, 676, 2909, 4575, 543, 6335, 532, 13080, 540, 8142, 267, 799, 616, 10138, 593, 27342, 321, 1231, 547, 4383, 873, 269, 1306, 519, 960, 22264, 267, 519, 22805, 568, 4371, 538, 1747, 609, 20382, 1305, 538, 513, 30824, 10788, 578, 267, 519, 13307, 540, 519, 20382, 2356, 5462, 676, 513, 4806, 610, 533, 4459, 532, 8930, 2740, 593, 519, 10788, 578, 563, 25456, 2592, 689, 713, 7131, 912, 8923, 1224, 811, 3877, 827, 713, 524, 323, 676, 29957, 547, 519, 5377, 540, 519, 2985, 563, 347, 1805, 648, 1475, 26015, 12313, 1475, 1103, 14351, 1475, 5415, 9623, 347, 0, 10907, 27854, 4441, 21374, 593, 11334, 262, 23792, 946, 519, 19793, 22777, 11621, 8416, 630, 3008, 301, 264, 6538, 540, 1533, 543, 3084, 4441, 267, 3177, 547, 22085, 13036, 3785, 21806, 540, 808, 2464, 1299, 3213, 563, 2171, 3651, 4704, 2474, 547, 1142, 3948, 1369, 513, 4441, 3561, 543, 547, 1142, 2923, 4199, 267, 543, 21374, 616, 1759, 2390, 13292, 540, 891, 2474, 585, 513, 2016, 3446, 6512, 269, 1403, 513, 1880, 4441, 3561, 540, 1719, 547, 596, 568, 711, 10268, 2943, 267, 621, 1034, 2693, 814, 711, 2943, 1044, 9268, 676, 6789, 301, 610, 676, 11334, 262, 23792, 269, 1284, 786, 581, 4946, 1514, 2090, 543, 6575, 21374, 936, 519, 4947, 1032, 267, 543, 849, 786, 581, 2810, 519, 23506, 540, 12972, 563, 1103, 713, 3992, 267, 1053, 2263, 519, 3790, 540, 1585, 1591, 6049, 4566, 269, 634, 2557, 3889, 540, 1591, 6049, 4566, 2099, 5276, 3252, 602, 1053, 786, 5635, 676, 2870, 11708, 269, 634, 11708, 786, 948, 1053, 3313, 799, 1544, 1131, 1267, 538, 519, 6574, 9806, 269, 4841, 946, 891, 1983, 547, 5635, 10992, 2272, 3681, 547, 1265, 519, 835, 602, 1655, 17015, 741, 2115, 269, 4841, 1287, 4585, 513, 3381, 602, 11828, 10992, 2272, 12375, 543, 2533, 267, 799, 786, 581, 4553, 676, 9236, 1585, 2010, 540, 12948, 6589, 547, 3313, 799, 835, 1131, 6556, 519, 5207, 7024, 952, 519, 2724, 10710, 689, 519, 1591, 11436, 941, 5116, 538, 1114, 6589, 563, 10743, 786, 581, 2111, 547, 912, 1892, 20907, 543, 1832, 3950, 540, 9276, 547, 948, 6430, 799, 1591, 6049, 1544, 789, 666, 6488, 563, 1892, 14424, 1591, 6049, 4566, 1210, 1585, 2409, 547, 3313, 799, 568, 519, 1034, 3617, 585, 741, 2115, 563, 1892, 2422, 1463, 9819, 267, 7515, 267, 543, 11708, 547, 5635, 1585, 14499, 3889, 585, 1591, 11436, 267, 10992, 6589, 267, 543, 824, 2533, 563, 1892, 14674, 519, 9238, 540, 10992, 6589, 563, 1892, 6333, 519, 12375, 540, 1585, 10992, 6589, 547, 3313, 799, 835, 2306, 519, 1034, 2631, 585, 741, 2115, 563, 263, 274, 264, 476, 3393, 18826, 1362, 5712, 454, 1103, 713, 3381, 10126, 689, 2659, 5020, 267, 2659, 14559, 267, 606, 909, 7146, 268, 5765, 11653, 609, 513, 1007, 2816, 16137, 875, 547, 4383, 1010, 2724, 19100, 1247, 2713, 593, 1010, 1378, 563, 26212, 547, 3450, 267, 1433, 5658, 782, 540, 519, 5680, 4609, 1031, 538, 519, 3992, 543, 1711, 513, 2262, 4393, 3561, 17609, 782, 540, 519, 6402, 269, 2776, 1613, 782, 4609, 543, 7044, 1354, 9306, 873, 547, 519, 1362, 563, 1607, 3135, 2488, 2596, 1344, 827, 2123, 18083, 602, 3025, 2115, 547, 1628, 5763, 269, 634, 6437, 2488, 22265, 543, 8465, 1543, 689, 799, 596, 666, 3442, 5396, 543, 2238, 267, 1519, 22343, 267, 5491, 267, 543, 9494, 543, 10115, 267, 602, 1655, 2743, 707, 2115, 563, 10376, 540, 519, 1657, 4609, 814, 513, 1591, 6049, 1544, 9498, 799, 2636, 596, 547, 4283, 1344, 827, 875, 1454, 596, 1544, 547, 946, 707, 1591, 6049, 543, 1287, 2488, 519, 1655, 1591, 6049, 4566, 585, 596, 547, 2015, 1759, 593, 707, 6059, 6165, 563, 9349, 5658, 519, 5680, 3135, 1031, 538, 519, 3992, 593, 1142, 2780, 538, 707, 4928, 269, 4635, 513, 1514, 1433, 5658, 532, 1907, 971, 607, 1642, 269, 545, 1470, 30994, 610, 1019, 15282, 630, 528, 606, 2228, 1433, 5658, 532, 10626, 971, 607, 2823, 777, 677, 531, 264, 786, 1450, 596, 547, 10891, 782, 519, 6402, 538, 513, 3844, 4087, 563, 7093, 1613, 782, 540, 519, 3381, 12415, 543, 5680, 4609, 1031, 538, 519, 3992, 547, 1118, 1978, 602, 789, 616, 3617, 585, 707, 1053, 267, 4867, 2139, 267, 543, 3015, 689, 707, 4928, 563, 12606, 519, 3381, 12415, 1031, 538, 713, 3992, 5196, 707, 2182, 5397, 267, 610, 5965, 547, 6908, 519, 24056, 689, 707, 4928, 563, 272, 269, 11512, 547, 1053, 602, 789, 786, 6108, 519, 1985, 1896, 2395, 1565, 827, 2123, 18083, 269, 1358, 3580, 2253, 609, 513, 22343, 3635, 1141, 789, 786, 3950, 741, 4747, 267, 9806, 267, 543, 9276, 563, 273, 269, 5620, 1053, 960, 538, 8424, 607, 596, 3391, 873, 998, 519, 7316, 6496, 2659, 14559, 3619, 286, 2534, 689, 519, 13022, 580, 4981, 11038, 4065, 15099, 585, 9344, 476, 277, 268, 279, 269, 2755, 3257, 713, 2534, 267, 581, 2386 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 278, 476, 11740, 264, 1107, 8923, 2328, 589, 295, 7704, 305, 4553, 676, 9509, 8745, 609, 519, 2228, 8569, 1383, 281, 589, 295, 7704, 305, 15608, 18248, 7714, 267, 865, 649, 917, 1141, 621, 814, 2097, 689, 269, 2659, 2724, 568, 6976, 2786, 547, 721, 998, 707, 3807, 15130, 2985, 281, 5213, 908, 998, 3807, 294, 1516, 568, 2241, 267, 3728, 543, 11207, 5150, 269, 2659, 3877, 616, 2922, 609, 0, 3682, 2041, 634, 11020, 568, 606, 7317, 21141, 3135, 689, 32282, 3820, 799, 12857, 519, 2875, 547, 513, 4786, 540, 519, 1480, 16794, 269, 634, 7317, 6712, 568, 2966, 547, 1450, 3755, 547, 16785, 543, 12954, 519, 5179, 16794, 543, 2070, 519, 12633, 908, 1560, 851, 3350, 563, 13911, 540, 7698, 912, 763, 3135, 5161, 540, 1257, 267, 12449, 267, 543, 7317, 14318, 563, 1607, 3135, 568, 5227, 607, 606, 4367, 547, 519, 1686, 543, 1599, 540, 519, 1480, 16794, 4786, 269, 898, 949, 849, 581, 1031, 607, 513, 4704, 585, 4830, 1353, 563, 288, 1699, 11422, 543, 1744, 1442, 24859, 616, 2838, 585, 519, 7317, 2534, 563, 26368, 11683, 4804, 17644, 912, 763, 3119, 3804, 540, 519, 3896, 568, 547, 6338, 519, 15226, 547, 519, 1599, 540, 519, 2634, 781, 5179, 16794, 676, 5187, 2065, 900, 1637, 540, 519, 2634, 11837, 6901, 5342, 676, 8187, 518, 6755, 7615, 563, 307, 13759, 9906, 15510, 912, 763, 3077, 2875, 2551, 568, 2606, 6530, 267, 6211, 6530, 267, 610, 12214, 6530, 1164, 1153, 610, 15938, 1053, 8391, 513, 3119, 4367, 547, 519, 16794, 543, 922, 1599, 563, 7093, 7528, 15363, 11310, 610, 10341, 912, 5591, 1808, 32563, 1702, 610, 1983, 616, 2556, 547, 3927, 946, 713, 3135, 267, 855, 930, 2596, 1702, 540, 1480, 2634, 14169, 1131, 581, 5363, 563, 763, 3135, 2488, 513, 2596, 1377, 540, 4367, 547, 519, 1480, 16794, 269, 898, 568, 2966, 547, 1683, 606, 7650, 540, 5179, 16794, 1599, 543, 11837, 267, 799, 621, 1281, 1360, 1134, 269, 634, 1641, 1570, 568, 4843, 538, 513, 6752, 799, 2636, 519, 15226, 547, 3362, 9787, 519, 1883, 2035, 563, 763, 3135, 2488, 606, 2606, 1377, 7778, 607, 5497, 267, 543, 865, 19330, 519, 2556, 3178, 585, 4359, 1053, 563, 22025, 1113, 6356, 4369, 607, 513, 9752, 15484, 454, 763, 9342, 9114, 538, 519, 3135, 781, 7317, 543, 1187, 1935, 547, 6313, 519, 9238, 540, 519, 5179, 16794, 563, 763, 3135, 568, 2966, 585, 519, 19444, 543, 1281, 711, 1683, 2200, 585, 811, 4359, 1053, 563, 292, 848, 540, 2422, 585, 5637, 4841, 543, 20513, 454, 763, 3135, 568, 2653, 547, 946, 543, 6330, 563, 8448, 12983, 543, 22227, 912, 763, 1160, 2041, 634, 11020, 3135, 2488, 513, 1434, 4367, 543, 1187, 1935, 547, 519, 1480, 16794, 563, 15507, 676, 9768, 888, 2005, 5654, 899, 596, 723, 9411, 606, 9768, 1297, 269, 14348, 596, 899, 547, 3406, 1210, 1018, 596, 723, 454, 550, 1229, 607, 606, 9768, 1297, 888, 15507, 532, 585, 16840, 888, 2791, 9411, 606, 4757, 2232, 269, 14348, 596, 899, 547, 3406, 585, 2818, 286, 8437, 8786, 547, 3136, 269, 1403, 1100, 267, 2326, 786, 581, 10268, 1101, 269, 1411, 666, 13217, 707, 3406, 609, 519, 3681, 593, 519, 2451, 540, 519, 2164, 2985, 269, 0, 4263, 476, 274, 513, 6230, 269, 593, 5147, 476, 1556, 267, 476, 10755, 275, 267, 12428, 19936, 4767, 606, 5393, 13085, 1769, 6932, 538, 570, 19653, 269, 1280, 476, 2537, 2395, 713, 31975, 320, 13934, 519, 3141, 543, 3781, 267, 519, 1034, 1651, 663, 27853, 12136, 538, 6592, 1686, 269, 4658, 538, 3624, 267, 17936, 267, 14522, 267, 14151, 543, 519, 3162, 7414, 6825, 713, 14393, 31397, 4715, 12386, 267, 855, 538, 2342, 267, 1100, 2446, 540, 621, 1223, 581, 1336, 538, 1022, 12377, 538, 1022, 5399, 538, 519, 7262, 1158, 269, 898, 729, 519, 14730, 12698, 563, 26466, 4520, 540, 2257, 543, 14374, 3112, 581, 1065, 5962, 282, 18864, 267, 1100, 2339, 875, 789, 2119, 547, 17854, 621, 267, 814, 519, 1318, 547, 1793, 600, 519, 19984, 593, 1702, 269, 3163, 267, 4984, 543, 2528, 991, 711, 581, 20102, 12600, 855, 18595, 710, 267, 1142, 5885, 519, 1866, 563, 28899, 7760, 998, 519, 1034, 3532, 16263, 2479, 2919, 786, 8956, 519, 4044, 1049, 1983, 540, 519, 12703, 2038, 22963, 17701, 543, 814, 16854, 6286, 585, 2221, 779, 18939, 267, 11173, 812, 779, 7915, 5397, 547, 7903, 3564, 1634, 6302, 267, 4466, 8108, 15270, 2282, 519, 4098, 540, 942, 563, 20524, 625, 540, 938, 6090, 529, 786, 581, 8575, 684, 820, 320, 779, 2479, 331, 8463, 10516, 547, 519, 1158, 269, 0, 14532, 540, 11113, 689, 1133, 328, 290, 13072, 7813, 11706, 476, 1001, 280, 454, 314, 16378, 497, 316, 5130, 2443, 15279, 8183, 454, 3528, 345, 14932, 7276, 269, 4790, 753, 4083, 630, 5038, 272, 1700, 5780, 279, 1040, 476, 4792, 275, 1700, 4792, 280, 563, 295, 1410, 8183, 269, 18234, 269, 32379, 7219, 7467, 269, 12833, 269, 1100, 269, 476, 22446, 9965, 454, 11917, 2091, 2443, 674, 5217, 11861, 338, 540, 4790, 753, 4083, 630, 1729, 2451, 264, 543, 4790, 14932, 10001, 563, 295, 1410, 8183, 630, 26364, 269, 31330, 394, 378, 10382, 24556, 16708, 10382, 19031, 19031, 14267, 14832, 264, 2443, 513, 20850, 8988, 11777, 5189, 676, 14890, 4173, 659, 2993, 639, 538, 476, 277, 1428, 269, 13405, 547, 602, 267, 8988, 1185, 711, 5129, 606, 1271, 1909, 538, 519, 20850, 4346, 799, 1185, 1044, 1759, 593, 519, 10009, 540, 4154, 543, 19730, 11113, 269, 634, 17890, 2112, 1063, 18031, 656, 1756, 543, 519, 6431, 2103, 267, 799, 4173, 659, 2993, 639, 1185, 1044, 530, 1645, 267, 1185, 267, 2705, 267, 5116, 513, 1390, 8833, 593, 782, 1533, 2200, 543, 2838, 519, 4367, 540, 513, 1007, 8988, 21000, 1588, 563, 4322, 11113, 941, 20511, 539, 689, 1476, 4593, 730, 5783, 6676, 543, 519, 2012, 1031, 585, 873, 666, 581, 12261, 607, 2048, 8314, 20604, 3670, 10101, 685, 281, 621, 729, 2047, 5532, 547, 741, 2597, 267, 799, 729, 5111, 476, 277, 269, 279, 10101, 2443, 519, 6697, 540, 3670, 4936, 1085, 745, 1255, 610, 5259, 10101, 563, 12831, 11881, 540, 20850, 900, 30752, 941, 593, 519, 1073, 2091, 540, 519, 15279, 8183, 543, 593, 519, 9258, 972, 729, 513, 26841, 540, 519, 9061, 540, 30110, 326, 1054, 320, 10483, 676, 519, 5824, 10828, 16938, 9802, 2696, 948, 519, 14564, 14872, 267, 5693, 10452, 519, 26525, 3510, 538, 799, 18031, 656, 1756, 1336, 3294, 1317, 540, 519, 2112, 1996, 519, 6431, 2103, 563, 2419, 5190, 538, 519, 9756, 1063, 519, 1871, 540, 4154, 543, 602, 540, 8988, 7930, 4547, 827, 513, 3510, 538, 799, 519, 20511, 532, 540, 15279, 22329, 729, 1100, 3476, 538, 519, 4690, 540, 519, 1726, 21204, 543, 267, 676, 519, 1439, 540, 519, 476, 278, 628, 2540, 267, 15279, 22329, 1185, 30403, 547, 581, 538, 10009, 1369, 519, 2344, 540, 519, 20850, 7276, 563, 314, 16378, 497, 316, 5988, 2443, 4457, 586, 10224, 454, 19770, 269, 7276, 269, 2871, 836, 323, 784, 19435, 563, 312, 10224, 630, 323, 20683, 1040, 476, 6245, 279, 1700, 6245, 280, 563, 22068, 591, 269, 32379, 7219, 7467, 269, 12833, 269, 1100, 269, 476, 4343, 277, 4037, 563, 305, 27654, 2443, 22900, 563, 763, 4457, 1533, 729, 835, 540, 519, 1101, 538, 519, 3504, 1158, 799, 3459, 547, 946, 18351, 2724, 269, 22108, 547, 891, 1797, 540, 5385, 666, 581, 14360, 1394, 547, 519, 4083, 543, 594, 27453, 7460, 281, 538, 4457, 2854, 2959, 689, 602, 942, 9246, 30735, 338, 2907, 11478, 585, 971, 2035, 607, 2048, 5570, 617, 640, 8730, 2048, 1729, 4444, 8730, 2048, 1729, 6133, 685, 543, 849, 585, 2048, 1410, 4219, 8730, 1210, 519, 9246, 30735, 3954, 7627, 2724, 269, 12983, 540, 19730, 11113, 1500, 1210, 519, 4480, 540, 16213, 3459, 538, 519, 476, 276, 628, 2540, 7460, 563, 22068, 591, 729, 711, 1031, 607, 9304, 538, 3624, 2394, 519, 476, 1428, 628, 2540, 281, 8385, 713, 1185, 1044, 538, 519, 1106, 540, 3824, 1824, 1634, 607, 11430, 753, 269, 634, 20511, 532, 540, 8988, 11113, 538, 3624, 3459, 1454, 2663, 267, 1310, 519, 13075, 6963, 5189, 676, 519, 2494, 577, 584, 1014, 29305, 15913, 630, 13932, 275, 268, 4489, 272, 1040, 634, 1101, 8988, 11113, 547, 581, 9783, 941, 1346, 540, 17230, 538, 476, 15094, 271, 269, 634, 1104, 540, 5053, 26240, 657, 3459, 538, 476, 15094, 278, 281, 891, 11113, 941, 4547, 883, 3624, 593, 513, 2527, 4336, 689, 519, 2477, 540, 3345, 543, 3162, 3013, 2443, 18475, 267, 6792, 267, 3092, 269, 1280, 891, 11113, 547, 32694, 16155, 538, 3624, 513, 4831, 27360, 610, 4831, 3613, 2086, 729, 2838, 563, 763, 2834, 2964, 2213, 20511, 532, 540, 8988, 11113, 538, 3624, 3459, 538, 476, 6642, 280, 269, 634, 8988, 11113, 6697, 547, 519, 26240, 334, 610, 13362, 941, 1634, 538, 4457, 607, 519, 586, 10224, 269, 19402, 476, 4350, 276, 519, 3044, 799, 12303, 4371, 32022, 729, 519, 8988, 3044, 269, 634, 5385, 2557, 585, 4457, 9304, 11385, 730, 4470, 2390, 519, 1158, 3902, 585, 8988, 269, 769, 476, 4350, 276, 513, 13075, 6963, 729, 5189, 543, 519, 8988, 586, 10224, 729, 6569, 689, 10009, 269, 1323, 4013, 23318, 729, 1500, 3823, 519, 18349, 540, 519, 8988, 3044, 543, 519, 5912, 547, 513, 9304, 1759, 593, 4154, 267, 855, 621, 729, 1152, 1310, 519, 1007, 6963, 540, 476, 3707, 279, 602, 519, 4154, 1543, 540, 519, 586, 10224, 729, 3964, 269, 634, 586, 10224, 729, 9783, 538, 519, 1106, 540, 1957, 2724, 2443, 519, 16938, 326, 1245, 586, 10224, 14872, 563, 763, 4457, 8988, 586, 10224, 1185, 1419, 1044, 21243, 609, 513, 26841, 540, 513, 15743, 2443, 519, 1292, 3090, 540, 519, 16938, 2662, 1961, 2622, 896, 24656, 14872, 269, 4340, 547, 519, 1585, 666, 976, 267, 519, 15743, 814, 519, 2212, 540, 513, 4342, 601, 267, 519, 1884, 6840, 540, 513, 13650, 267, 519, 4064, 540, 513, 688, 516, 267, 519, 10772, 540, 513, 10800, 267, 519, 8405, 540, 513, 13131, 267, 519, 17987, 540, 513, 4262, 20599, 267, 519, 10253, 540, 513, 3165, 267, 519, 533, 9155, 540, 513, 20259, 543, 519, 32356, 540, 513, 17761, 330, 269, 1306, 519, 16938, 21914, 540, 519, 2142, 6814, 14872, 267, 519, 15743, 568, 1500, 909, 540, 2694, 689, 782, 2713, 7068, 2443, 3165, 543, 5017, 267, 20641, 543, 2831, 269, 898, 24151, 519, 14421, 690, 3415, 540, 519, 1158, 543, 713, 9060, 4082, 538, 2338, 607, 1134, 269, 2201, 1142, 540, 513, 15743, 779, 2185, 3952, 267, 585, 1383, 267, 972, 616, 2947, 32356, 543, 621, 729, 13269, 607, 4988, 609, 476, 10037, 10253, 281, 29285, 519, 1297, 2947, 9356, 519, 2185, 15174, 540, 519, 3047, 543, 922, 8998, 267, 1247, 476, 10037, 568, 8370, 16611, 676, 8370, 610, 519, 21583, 6240, 16302, 269, 634, 1297, 1614, 568, 2404, 609, 519, 1614, 10600, 610, 24656, 267, 3047, 543, 2494, 543, 849, 609, 519, 21583, 6240, 267, 1247, 2185, 19752, 519, 2185, 15174, 540, 519, 3047, 543, 865, 593, 269, 769, 922, 32356, 519, 15743, 6585, 513, 27081, 2443, 3090, 540, 5763, 543, 552, 1181, 640, 267, 1379, 543, 4222, 543, 891, 3601, 616, 1419, 11911, 547, 18351, 19728, 607, 1134, 563, 314, 16378, 497, 316, 4728, 2443, 546, 1075, 520, 454, 309, 523, 823, 269, 1684, 613, 25845, 1723, 674, 8113, 926, 630, 16318, 274, 1700, 13970, 278, 1916, 291, 1075, 520, 269, 7108, 269, 32379, 7219, 7467, 269, 12833, 269, 1100, 269, 476, 14690, 2537, 563, 11917, 2091, 2443, 674, 5217, 2441, 538, 8260, 528, 5055, 630, 531, 12107, 11057, 562, 12494, 639, 1916, 1103, 519, 476, 1724, 628, 2540, 519, 6243, 540, 24131, 21775, 593, 513, 2647, 4336, 609, 519, 5101, 267, 1104, 532, 3649, 637, 585, 799, 621, 6976, 538, 20850, 11113, 269, 769, 476, 12553, 273, 18031, 656, 1756, 5795, 2883, 1489, 547, 519, 32574, 538, 24558, 1176, 1996, 3943, 4341, 630, 306, 545, 27482, 26751, 11825, 264, 543, 621, 4389, 519, 4154, 1543, 538, 922, 4154, 11777, 1634, 607, 519, 5409, 6853, 1258, 269, 769, 3210, 547, 602, 1847, 267, 519, 4279, 7027, 540, 24131, 3459, 267, 538, 476, 12553, 275, 267, 547, 20511, 922, 1378, 1164, 268, 20598, 4154, 11113, 20604, 5111, 476, 274, 269, 276, 10101, 563, 763, 11777, 1826, 799, 7902, 693, 602, 942, 1223, 581, 14360, 1394, 547, 20850, 3631, 543, 621, 729, 17477, 538, 519, 4107, 10513, 6243, 540, 24131, 585, 1896, 5553, 269, 2441, 729, 13269, 593, 519, 1073 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3422, 279, 10112, 1115, 30537, 3809, 259, 272, 267, 1822, 630, 20112, 7751, 272, 267, 1822, 630, 20112, 11872, 7751, 1015, 267, 1822, 630, 22068, 591, 7751, 1015, 267, 1822, 630, 22068, 591, 11872, 994, 1556, 634, 2817, 30914, 2920, 540, 476, 5908, 274, 4847, 13780, 958, 5750, 1229, 8492, 547, 15814, 4871, 4967, 630, 1372, 14855, 3656, 13035, 264, 17956, 676, 2475, 32124, 630, 3316, 802, 1223, 3390, 4967, 3160, 547, 476, 3445, 260, 540, 741, 2475, 7963, 3180, 902, 264, 272, 560, 2817, 7813, 540, 11206, 4975, 13233, 4967, 941, 6460, 1043, 547, 570, 5174, 1571, 693, 1022, 3084, 4871, 13233, 7813, 4967, 941, 9783, 2394, 476, 4350, 275, 10112, 1115, 30537, 3809, 259, 2004, 267, 1822, 630, 307, 5174, 1571, 7751, 1839, 267, 1822, 630, 12831, 657, 1080, 7751, 2004, 267, 1822, 630, 299, 334, 753, 7751, 3393, 267, 1822, 630, 24687, 7751, 1789, 267, 1822, 630, 13420, 640, 994, 1321, 634, 8549, 15944, 729, 2813, 538, 476, 4489, 274, 547, 9247, 1491, 936, 519, 2724, 3761, 1909, 540, 3084, 8492, 7868, 8549, 15944, 1223, 3390, 1007, 9304, 676, 11449, 2475, 32124, 2901, 538, 4357, 6990, 610, 2047, 689, 519, 27308, 293, 3985, 15944, 4967, 941, 6460, 1043, 547, 4154, 2394, 476, 4350, 275, 630, 785, 1339, 338, 264, 476, 3192, 272, 630, 23338, 24434, 264, 293, 3985, 15944, 7813, 10112, 1115, 30537, 3809, 259, 2004, 267, 1822, 630, 307, 5174, 1571, 7751, 2568, 267, 1822, 630, 24687, 7751, 1015, 267, 1822, 630, 20112, 994, 1724, 9324, 558, 5209, 540, 1269, 4335, 267, 1269, 272, 267, 1822, 267, 1269, 276, 267, 1822, 267, 543, 1269, 1015, 267, 1822, 941, 1100, 3476, 9102, 1310, 476, 3707, 277, 585, 4250, 540, 4436, 4831, 10623, 1746, 454, 1691, 634, 700, 17999, 21000, 1588, 2479, 9102, 729, 513, 1269, 1911, 267, 1822, 4154, 15149, 634, 700, 17999, 21000, 1588, 2479, 9102, 729, 513, 1269, 1911, 267, 1822, 4154, 15149, 269, 898, 729, 2760, 6933, 730, 267, 855, 729, 1031, 585, 954, 1532, 1678, 19132, 454, 1428, 15894, 932, 2335, 1564, 896, 519, 2817, 270, 13750, 30914, 3590, 14559, 4099, 8492, 941, 519, 968, 10174, 2707, 892, 540, 5491, 13233, 8492, 945, 941, 2110, 540, 7482, 1131, 10210, 689, 2724, 4099, 8492, 299, 24147, 3557, 8492, 945, 941, 2110, 540, 7482, 1131, 10210, 689, 2817, 8492, 22102, 3557, 8492, 945, 941, 2110, 540, 7482, 1131, 10210, 689, 3677, 1533, 8492, 454, 1626, 15894, 932, 2335, 1564, 896, 519, 2817, 270, 13750, 30914, 3590, 454, 1704, 634, 8549, 15944, 763, 8549, 15944, 3590, 729, 2813, 538, 476, 4489, 274, 676, 8381, 992, 14355, 269, 8802, 3634, 519, 12948, 2872, 2108, 299, 2658, 540, 7831, 1763, 677, 892, 8802, 3634, 519, 2724, 3761, 17809, 728, 12948, 2533, 585, 519, 5313, 2229, 13425, 7581, 2130, 454, 1240, 15894, 932, 2335, 1564, 896, 519, 8549, 15944, 3590, 815, 8549, 8750, 338, 10369, 284, 5494, 870, 32001, 454, 866, 634, 8549, 15944, 3590, 29435, 525, 519, 2197, 883, 476, 1321, 5940, 12230, 22921, 476, 272, 910, 476, 1321, 689, 7532, 547, 7178, 454, 736, 634, 30626, 568, 11221, 689, 519, 8274, 585, 513, 7791, 476, 275, 1032, 2165, 21142, 13983, 839, 3966, 263, 1960, 273, 264, 305, 690, 518, 674, 31867, 517, 263, 1220, 272, 264, 10955, 1189, 12896, 28727, 263, 1960, 278, 264, 306, 639, 534, 645, 625, 263, 1220, 272, 264, 15812, 744, 3149, 523, 263, 1220, 272, 264, 13051, 12672, 534, 651, 263, 1220, 274, 264, 291, 10735, 918, 7897, 263, 1220, 273, 264, 763, 8549, 15944, 4604, 568, 2212, 32483, 1229, 538, 6115, 9823, 269, 634, 8274, 3117, 1235, 540, 476, 278, 968, 294, 4261, 832, 892, 12912, 676, 519, 5518, 543, 9672, 676, 519, 14130, 585, 476, 1691, 5729, 6348, 7304, 523, 1168, 762, 2474, 454, 2641, 3962, 8664, 814, 513, 8549, 15944, 7813, 609, 513, 4871, 7022, 11221, 676, 519, 4871, 779, 4604, 540, 19971, 585, 476, 275, 1032, 7791, 2474, 289, 1678, 5518, 32317, 540, 6034, 832, 12218, 589, 630, 275, 264, 12218, 645, 630, 275, 264, 12218, 595, 630, 275, 264, 300, 1897, 24434, 26222, 6355, 293, 3985, 15944, 8274, 454, 2420, 634, 8549, 7046, 10369, 9730, 630, 293, 6865, 290, 264, 568, 519, 13422, 1136, 1895, 540, 519, 8549, 15944, 3590, 269, 1358, 2743, 5111, 476, 279, 2053, 829, 1032, 269, 24727, 616, 5462, 676, 5354, 8917, 32317, 540, 5041, 832, 630, 278, 264, 29369, 12658, 5518, 630, 272, 264, 8802, 1308, 12658, 3465, 6342, 630, 275, 264, 23744, 267, 782, 476, 1321, 4871, 27504, 616, 1459, 693, 519, 5870, 267, 855, 1152, 476, 276, 666, 8917, 269, 634, 12924, 12658, 7022, 814, 513, 8628, 8917, 1247, 519, 6967, 27504, 8917, 593, 513, 2847, 6295, 4493, 563, 2537, 2552, 13764, 519, 18242, 540, 14559, 14559, 666, 581, 4376, 602, 25389, 281, 1805, 648, 540, 10025, 16215, 540, 2272, 8469, 1756, 540, 5385, 299, 1824, 540, 1919, 14183, 891, 3601, 454, 2190, 9208, 26479, 540, 14559, 3933, 8767, 12476, 630, 300, 271, 2567, 6034, 20824, 540, 519, 3844, 4871, 10501, 6275, 538, 10009, 1341, 7813, 1763, 12883, 300, 272, 281, 10501, 6275, 538, 10009, 1341, 13488, 518, 781, 4258, 4242, 1341, 6744, 532, 6589, 300, 273, 281, 300, 272, 1341, 14205, 902, 6589, 1341, 14559, 10369, 32439, 1341, 9540, 5384, 3493, 657, 1080, 300, 274, 281, 300, 273, 1341, 14066, 5384, 3493, 657, 1080, 1341, 16402, 323, 3326, 1513, 454, 1839, 634, 8549, 15944, 666, 9985, 1852, 519, 13075, 3490, 630, 322, 1662, 1341, 4871, 14425, 264, 631, 13696, 272, 300, 274, 300, 273, 5629, 1346, 14425, 4283, 519, 12948, 5823, 267, 789, 616, 1031, 607, 519, 4493, 585, 2870, 12029, 269, 1452, 12029, 1118, 909, 519, 1964, 540, 519, 2724, 3761, 269, 634, 10480, 666, 1406, 1852, 713, 267, 855, 666, 3310, 621, 454, 2918, 14559, 18242, 538, 519, 2475, 630, 514, 9291, 687, 264, 22418, 11586, 300, 272, 300, 273, 300, 274, 454, 2764, 15944, 32439, 616, 20824, 540, 519, 12658, 634, 15944, 18859, 618, 568, 519, 2547, 1031, 540, 519, 12658, 779, 3609, 2645, 269, 589, 7813, 568, 2838, 547, 1832, 513, 5934, 6871, 540, 922, 12074, 2901, 607, 6666, 610, 593, 16005, 693, 519, 5313, 15395, 630, 637, 2925, 12074, 2628, 1100, 1719, 264, 293, 3985, 15944, 10907, 1889, 2817, 7813, 10112, 1115, 30537, 3809, 10112, 1115, 30537, 3809, 259, 476, 273, 267, 4335, 630, 4910, 12883, 7751, 476, 273, 267, 4335, 630, 290, 1662, 7751, 2004, 267, 1822, 630, 12831, 657, 1080, 7751, 476, 273, 267, 4335, 630, 4910, 12883, 7751, 3393, 267, 1822, 630, 307, 5174, 1571, 7751, 1911, 267, 1822, 27331, 334, 753, 7751, 1911, 267, 1822, 630, 13420, 640, 264, 4910, 2925, 32439, 616, 20824, 540, 519, 12658, 10907, 1889, 4867, 814, 476, 1015, 260, 540, 922, 16005, 20824, 593, 15944, 630, 290, 1662, 1341, 1763, 12883, 8358, 12831, 657, 1080, 454, 3066, 3600, 1889, 779, 15395, 5223, 12772, 547, 476, 277, 269, 1839, 260, 630, 276, 270, 3199, 264, 14597, 3600, 1889, 7813, 4941, 547, 1711, 513, 1269, 1789, 267, 1822, 10211, 269, 901, 568, 2944, 676, 9591, 513, 1899, 540, 5491, 630, 328, 4318, 269, 2870, 513, 1007, 2638, 762, 16005, 264, 10907, 1889, 2817, 7813, 10112, 1115, 30537, 3809, 763, 10211, 2982, 909, 593, 1312, 5011, 540, 519, 3666, 6656, 259, 476, 273, 267, 4335, 630, 290, 1662, 7751, 2004, 267, 1822, 630, 12831, 657, 1080, 7751, 476, 273, 267, 4335, 630, 4910, 12883, 7751, 1789, 267, 1822, 630, 12831, 21627, 7751, 3393, 267, 1822, 630, 307, 5174, 1571, 7751, 1911, 267, 1822, 27331, 334, 753, 7751, 1789, 267, 1822, 630, 299, 15351, 7751, 1911, 267, 1822, 630, 13420, 640, 264, 10907, 1889, 779, 15395, 5223, 12772, 547, 476, 277, 269, 1839, 260, 630, 276, 270, 3199, 994, 1789, 1763, 12883, 543, 6666, 616, 3334, 540, 631, 271, 1247, 519, 9241, 2813, 12029, 616, 3334, 540, 631, 272, 610, 631, 273, 3600, 1889, 2817, 7813, 12507, 8767, 12476, 290, 1662, 538, 19449, 27218, 289, 1678, 1763, 12883, 10112, 1115, 30537, 3809, 259, 476, 273, 267, 4335, 630, 290, 1662, 7751, 2004, 267, 1822, 630, 12831, 657, 1080, 7751, 476, 273, 267, 4335, 630, 4910, 12883, 7751, 1789, 267, 1822, 630, 12831, 21627, 7751, 3393, 267, 1822, 630, 307, 5174, 1571, 264, 300, 272, 290, 1662, 538, 19449, 27218, 10267, 9535, 32439, 259, 1911, 267, 1822, 27331, 334, 753, 7751, 1789, 267, 1822, 630, 299, 15351, 7751, 1911, 267, 1822, 630, 13420, 640, 264, 300, 273, 300, 272, 306, 822, 902, 32439, 454, 4029, 7392, 540, 700, 6636, 4910, 2925, 18859, 618, 9558, 9146, 10055, 259, 271, 910, 1269, 278, 300, 271, 260, 259, 278, 300, 910, 1269, 5325, 269, 277, 300, 274, 260, 5415, 982, 1269, 5325, 269, 277, 300, 1015, 260, 11742, 3493, 657, 1080, 292, 1755, 2017, 11750, 763, 15944, 18859, 618, 814, 1100, 1764, 593, 519, 13075, 3490, 267, 855, 621, 9673, 1206, 519, 2702, 540, 8492, 547, 1711, 12029, 1107, 713, 7506, 519, 6626, 27960, 563, 3953, 634, 10958, 6885, 729, 519, 3119, 3609, 1907, 540, 519, 5313, 15395, 950, 621, 729, 1101, 3964, 538, 5494, 870, 6885, 12029, 616, 32097, 1242, 676, 519, 7221, 540, 519, 4871, 630, 16029, 547, 1472, 476, 3445, 260, 540, 519, 10211, 264, 293, 3985, 15944, 10907, 1889, 2817, 7813, 10112, 1115, 30537, 3809, 10112, 1115, 30537, 3809, 259, 476, 273, 267, 4335, 630, 299, 15351, 7751, 476, 273, 267, 4335, 630, 4910, 12883, 7751, 476, 273, 267, 4335, 630, 290, 1662, 7751, 3199, 267, 1822, 630, 12831, 657, 1080, 7751, 476, 273, 267, 4335, 630, 4910, 12883, 7751, 476, 273, 267, 4335, 630, 4910, 12883, 7751, 476, 273, 267, 4335, 630, 4910, 12883, 7751, 476, 273, 267, 4335, 630, 11577, 269, 10753, 534, 7751, 3393, 267, 1822, 630, 307, 5174, 1571, 7751, 9873, 267, 1822, 27331, 334, 753, 264, 4910, 269, 1234, 336, 269, 815, 476, 276, 260, 259, 2004, 267, 1822, 630, 13420, 640, 264, 288, 1269, 273, 267, 4335, 10211, 689, 519, 10958, 6885, 1131, 6318, 14425, 547, 519, 2838, 476, 276, 260, 1607, 4871, 1131, 899, 547, 1711, 1269, 3583, 267, 1822, 10211, 267, 855, 3085, 1406, 723, 519, 14425, 547, 1394, 621, 909, 454, 3451, 7392, 540, 15894, 19950, 15580, 27650, 630, 5591, 5999, 18542, 264, 293, 539, 8750, 338, 1341, 476, 272, 260, 630, 274, 269, 276, 8472, 13553, 776, 630, 21206, 11038, 6176, 26473, 1600, 264, 293, 539, 8750, 338, 1341, 476, 272, 269, 276, 260, 630, 275, 269, 271, 8472, 5353, 1783, 531, 630, 300, 755, 6542, 556, 24593, 2590, 12119, 28880, 2115, 267, 2999, 259, 4335, 300, 538, 3493, 657, 1080, 264, 293, 539, 8750, 338, 1341, 1547, 273, 260, 630, 273, 269, 278, 260, 994, 3374, 1635, 11449, 543, 5924, 9513, 19736, 267, 519, 12658, 666, 2047, 1852, 519, 7274, 540, 1875, 1532, 6563, 539, 14425, 538, 519, 12948, 5823, 7868, 12658, 3181, 1080, 270, 920, 323, 1080, 519, 15395, 2272, 540, 519, 31066, 779, 4871, 293, 3985, 15944, 5719, 531, 619, 16179, 13478, 749, 7554, 689, 519, 12658, 289, 1180, 20958, 518, 7197, 8852, 616, 2944, 609, 1065, 21332, 11650, 630, 11847, 657, 1040, 1452, 616, 16306, 4882, 2297, 2059, 609, 606, 6876, 547, 9258, 519, 11834, 693, 513, 2663, 4266, 454, 3607, 17497, 267, 1930, 2344, 4238, 616, 519, 3119, 3609, 1907, 540, 519, 12658, 269, 29665, 3217, 1747, 538, 12924, 290, 8549, 15944, 10907, 1889, 2817, 7813, 10112, 1115, 30537, 3809, 10112, 1115, 30537, 3809, 259, 476, 273, 267, 4335, 630, 307, 268, 645, 1571, 7751, 476, 273, 267, 4335, 630, 4910, 12883, 7751, 476, 273, 267, 4335, 630, 290, 1662, 7751, 3199, 267, 1822, 630, 12831, 657, 1080, 7751, 476, 273, 267, 4335, 630, 4910, 12883, 7751, 476, 273, 267, 4335, 630, 4910, 12883, 7751, 476, 273, 267, 4335, 630, 4910, 12883, 9984, 1269, 476, 273, 267, 4335, 630, 307, 268, 645, 1571, 7751, 3393, 267, 1822, 630, 307, 5174, 1571, 7751, 9873, 267, 1822, 27331, 334, 753, 264, 4910, 269, 1234, 336, 269, 815, 476, 276, 260, 259, 2004, 267, 1822, 630, 13420, 640, 264, 2304, 1930, 2344, 6718, 4679, 519, 14425, 540, 519, 12948, 5823, 1107, 713, 12651, 631, 271, 454, 4343, 634, 14559, 12750, 4536, 4766, 519, 2078, 1063, 513, 1689, 538, 519, 13075, 3490, 630, 25049, 676, 519, 12658, 264, 543, 519, 6626, 27960, 259, 7827, 538, 631, 272, 284, 6515, 272, 2608, 1269, 7827, 538, 631, 6195 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29394, 658, 8274, 11581, 3951, 27633, 18039, 24162, 6199, 3967, 823, 7101, 3118, 6789, 306, 8780, 19611, 11581, 3951, 3036, 15537, 15867, 30835, 25067, 21398, 10498, 11555, 26177, 11581, 3951, 27633, 3627, 454, 272, 267, 271, 4097, 476, 6110, 476, 273, 11586, 3367, 811, 454, 290, 17109, 7838, 3201, 22295, 22494, 11730, 476, 278, 7089, 476, 273, 2904, 476, 1960, 274, 11581, 3951, 3036, 24361, 29865, 30121, 8836, 5525, 11394, 547, 6536, 811, 1930, 25107, 2676, 279, 2568, 476, 6200, 476, 274, 11586, 3367, 811, 454, 29394, 658, 8274, 11581, 3951, 27633, 18039, 24162, 6199, 2160, 540, 13325, 268, 31413, 320, 270, 2419, 2086, 5218, 7330, 3967, 823, 7101, 3118, 16099, 2160, 2475, 454, 6924, 278, 476, 27038, 476, 272, 11586, 3367, 811, 454, 290, 17109, 7838, 3201, 22295, 22494, 11730, 476, 277, 7089, 476, 274, 5239, 476, 1960, 273, 17136, 3798, 6002, 281, 808, 15121, 301, 670, 11286, 4041, 312, 594, 2894, 4888, 294, 11581, 3951, 3036, 24361, 29865, 30121, 8836, 853, 340, 454, 6795, 279, 476, 1708, 476, 275, 11586, 3367, 811, 454, 29394, 658, 8274, 11581, 3951, 27633, 18039, 24162, 6199, 667, 7578, 2717, 6674, 6789, 12569, 5746, 12442, 11581, 3951, 27633, 4460, 808, 17679, 20166, 28952, 23413, 22367, 3508, 21398, 10498, 11555, 26177, 11581, 3951, 454, 272, 267, 276, 4200, 476, 866, 476, 272, 11586, 3367, 811, 454, 290, 17109, 7838, 3201, 22295, 22494, 11730, 476, 1556, 7089, 476, 272, 5130, 476, 1960, 278, 11581, 3951, 3036, 24361, 29865, 30121, 769, 519, 4557, 1296, 2094, 555, 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, 8225, 1315, 5564, 12734, 1143, 8889, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 519, 7706, 540, 7499, 4082, 267, 1906, 2553, 666, 15180, 519, 28430, 27559, 543, 3808, 1652, 1761, 540, 2271, 30102, 31396, 11873, 630, 2975, 300, 1040, 901, 1505, 267, 799, 8813, 896, 519, 6626, 22597, 540, 7493, 10344, 267, 4564, 513, 9097, 22576, 689, 811, 31249, 4485, 10704, 1472, 8325, 1145, 543, 9355, 269, 5502, 267, 594, 13967, 22842, 13509, 267, 5163, 267, 543, 16148, 8226, 267, 3850, 9439, 547, 4739, 2592, 602, 16637, 6071, 12319, 543, 29954, 790, 2509, 6986, 3860, 5191, 269, 8528, 2414, 7832, 2390, 713, 3460, 998, 519, 17946, 14975, 11182, 540, 26278, 27727, 267, 621, 781, 1898, 1101, 547, 1174, 1018, 5036, 594, 13967, 6306, 689, 824, 2553, 269, 2311, 922, 4295, 267, 594, 13967, 14122, 17543, 10962, 5163, 1282, 519, 4598, 1184, 1107, 2901, 676, 3443, 940, 267, 21266, 1154, 267, 18186, 4040, 267, 610, 15914, 519, 8254, 1247, 2921, 513, 4605, 269, 10787, 689, 1373, 606, 17062, 3635, 538, 14784, 267, 2705, 267, 17117, 540, 594, 13967, 7569, 22111, 1852, 936, 1585, 2188, 971, 607, 9505, 614, 3432, 267, 17122, 3259, 267, 8654, 2175, 267, 543, 1256, 519, 4287, 543, 8515, 540, 3350, 3294, 780, 3080, 2629, 2460, 540, 594, 13967, 4145, 519, 1909, 540, 9505, 614, 3432, 538, 8159, 519, 6708, 543, 1915, 540, 5163, 20747, 269, 590, 12294, 11250, 24244, 1312, 519, 9588, 543, 5714, 640, 540, 891, 21792, 1792, 6545, 267, 26587, 873, 3152, 23146, 1369, 519, 7406, 269, 17957, 267, 5488, 5468, 6615, 519, 4110, 540, 9228, 5163, 267, 7551, 23831, 513, 15398, 2631, 540, 3846, 1143, 543, 1648, 547, 519, 4611, 3239, 269, 1306, 971, 267, 11495, 513, 10347, 3666, 3587, 14063, 282, 1932, 2370, 5163, 949, 6556, 1202, 760, 573, 2164, 27507, 540, 1719, 267, 6466, 7050, 20747, 666, 21372, 4105, 3877, 543, 24183, 2949, 25843, 780, 5194, 2565, 7156, 25701, 547, 519, 5542, 540, 3617, 5396, 585, 594, 13967, 3156, 269, 2755, 12303, 1022, 6429, 666, 4196, 607, 15417, 2666, 585, 17634, 267, 1978, 18305, 6961, 3226, 21443, 762, 547, 713, 4480, 269, 7849, 8916, 31523, 609, 5214, 5546, 543, 3270, 1107, 1589, 6329, 1835, 4770, 1996, 13272, 6050, 267, 15309, 1782, 16714, 2220, 11691, 9900, 538, 519, 2842, 267, 610, 18477, 4703, 16439, 9095, 338, 2066, 519, 3781, 6607, 1107, 2709, 3638, 3255, 585, 3308, 3408, 269, 6684, 267, 4683, 5054, 1490, 16824, 609, 11265, 2609, 20009, 547, 6422, 15885, 950, 21235, 3842, 594, 13967, 267, 581, 789, 27789, 642, 626, 553, 540, 26009, 1196, 881, 525, 610, 6946, 5121, 540, 1379, 3515, 15198, 4724, 519, 16880, 780, 19741, 2930, 15334, 543, 4230, 1393, 1641, 3903, 267, 3811, 11056, 540, 594, 13967, 849, 31963, 2629, 569, 593, 606, 7376, 781, 2702, 547, 29937, 5163, 607, 513, 22192, 1907, 5827, 540, 23187, 1808, 4664, 610, 2093, 269, 11569, 267, 2484, 689, 7587, 5024, 6071, 12716, 7912, 8460, 267, 519, 2220, 26325, 14258, 267, 795, 698, 3022, 8728, 267, 543, 552, 1492, 9418, 1654, 2812, 6383, 676, 18532, 8254, 5322, 4163, 14984, 12572, 2597, 267, 18136, 13588, 547, 16785, 9944, 741, 632, 1061, 1947, 2241, 7252, 543, 4497, 609, 4514, 6106, 540, 2495, 780, 2690, 3236, 267, 930, 9439, 2308, 594, 13967, 547, 18427, 17915, 540, 6991, 543, 11610, 267, 19713, 519, 6151, 15452, 3196, 7915, 538, 6385, 4652, 584, 1782, 18162, 540, 2681, 543, 1769, 547, 6655, 513, 27621, 762, 2631, 540, 23473, 610, 10231, 269, 11524, 2721, 6667, 689, 519, 3741, 540, 9694, 1116, 27727, 267, 5275, 547, 28093, 826, 741, 960, 609, 22514, 580, 525, 540, 1480, 5905, 543, 4527, 676, 8272, 337, 1681, 519, 21245, 267, 1561, 6665, 2218, 2470, 540, 11453, 560, 15809, 538, 741, 26278, 11904, 902, 540, 519, 2067, 1158, 269, 12846, 1866, 5490, 883, 519, 26441, 540, 3965, 543, 19911, 28101, 267, 1210, 22393, 791, 13440, 1047, 32725, 543, 28663, 1159, 644, 3022, 3029, 547, 8580, 675, 909, 7904, 7566, 24221, 540, 2250, 2833, 543, 3368, 3146, 332, 14801, 9909, 780, 2026, 30833, 676, 519, 24567, 8560, 540, 5985, 8924, 543, 1514, 2923, 5867, 6131, 547, 15386, 594, 13967, 2861, 13144, 267, 713, 11684, 4480, 5170, 547, 13469, 7184, 609, 4207, 9458, 6537, 547, 922, 4390, 585, 5807, 4195, 5380, 593, 5432, 24738, 543, 7653, 269, 5015, 267, 3875, 5159, 723, 6707, 12261, 519, 4245, 29742, 539, 689, 741, 6901, 609, 18532, 8254, 3350, 883, 5499, 1804, 8397, 19698, 543, 19180, 3785, 267, 25967, 1681, 519, 11972, 10083, 540, 713, 9583, 1884, 1172, 730, 5420, 8015, 606, 5051, 7857, 1242, 2686, 5251, 780, 1103, 3932, 267, 17117, 540, 2271, 30102, 31396, 11873, 19329, 711, 1152, 2930, 1035, 18210, 855, 849, 513, 16994, 7071, 585, 519, 19621, 7399, 6488, 539, 676, 3483, 995, 6278, 609, 5163, 543, 10462, 269, 1635, 14237, 606, 1930, 16490, 10182, 2509, 17634, 543, 11319, 519, 6302, 540, 1018, 13054, 11807, 2259, 1369, 519, 2361, 540, 26278, 6575, 267, 1053, 1796, 547, 2744, 1454, 689, 6220, 594, 13967, 883, 741, 27132, 540, 1983, 269, 11086, 267, 621, 568, 998, 971, 6411, 540, 20982, 1016, 11437, 543, 22488, 5368, 3685, 602, 519, 3020, 6891, 540, 5647, 29263, 267, 27283, 1007, 10092, 585, 3408, 543, 7175, 721, 547, 13498, 938, 10450, 606, 1168, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 519, 1158, 540, 10344, 267, 4778, 267, 18282, 267, 543, 5888, 616, 1419, 1031, 547, 1711, 11617, 10875, 2592, 269, 1717, 267, 7493, 10344, 3217, 513, 1114, 1935, 267, 8508, 13509, 543, 1641, 2032, 547, 18427, 7553, 543, 4161, 2757, 3029, 540, 3308, 4082, 563, 20082, 10344, 6212, 593, 13830, 519, 9759, 540, 513, 1641, 267, 2864, 982, 922, 6405, 6041, 269, 1635, 20747, 2590, 519, 3515, 1063, 4641, 543, 9345, 267, 713, 1148, 1106, 2636, 21706, 547, 2263, 519, 5898, 602, 6013, 3564, 6671, 15312, 563, 7437, 519, 946, 540, 20747, 2590, 267, 7493, 10344, 5932, 513, 2631, 540, 3178, 543, 15340, 267, 18136, 13588, 547, 4612, 519, 2592, 538, 741, 1378, 2189, 1259, 269, 634, 18532, 23673, 540, 1445, 543, 519, 12879, 540, 3270, 543, 3029, 1267, 538, 513, 3308, 1893, 602, 4422, 3564, 1913, 543, 3762, 4055, 585, 2123, 7664, 563, 21615, 571, 1424, 519, 1523, 540, 27727, 267, 21706, 616, 2111, 547, 2981, 4948, 10207, 883, 30811, 1568, 540, 1148, 269, 1635, 17824, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4504, 30102, 31396, 11873, 630, 2975, 300, 17983, 607, 851, 540, 834, 15771, 5588, 24209, 1315, 9828, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5548, 5534, 12098, 326, 625, 543, 4173, 2125, 1473, 14995, 563, 28646, 596, 4076, 2938, 873, 538, 707, 5172, 10302, 779, 10051, 630, 313, 334, 25612, 6428, 323, 3570, 9428, 24958, 538, 1200, 338, 1070, 610, 890, 22701, 856, 593, 26964, 2443, 1346, 2413, 267, 9044, 539, 5068, 20610, 609, 513, 4571, 10601, 267, 2230, 21943, 642, 32079, 267, 18705, 538, 513, 2511, 28330, 547, 661, 1868, 23107, 543, 20307, 19389, 22311, 269, 1358, 2461, 865, 669, 545, 267, 621, 8910, 581, 2653, 547, 12161, 873, 585, 4773, 540, 1148, 2443, 4849, 585, 519, 23858, 267, 5810, 267, 543, 11922, 17708, 1154, 856, 540, 741, 5011, 269, 5221, 267, 540, 1576, 267, 891, 20610, 5749, 1406, 11647, 610, 1148, 4773, 2443, 789, 2461, 19558, 4577, 10651, 2336, 2690, 1346, 540, 721, 945, 6560, 547, 1832, 513, 2582, 2777, 8690, 9800, 267, 519, 2262, 19558, 4577, 666, 3280, 25254, 2443, 855, 1810, 1406, 581, 18901, 269, 6056, 540, 19558, 9582, 607, 513, 1747, 1141, 18147, 4677, 9909, 2743, 476, 7785, 30026, 20356, 19887, 19178, 269, 10281, 1886, 517, 1227, 6738, 2371, 630, 26074, 267, 12777, 267, 2371, 6738, 538, 1216, 264, 616, 4986, 1007, 267, 543, 723, 2965, 1044, 1472, 585, 5215, 540, 1296, 269, 2755, 519, 5767, 1374, 8441, 1118, 519, 1184, 1928, 6954, 630, 663, 2706, 7168, 1070, 519, 2596, 2856, 568, 3833, 2241, 281, 19663, 19787, 1510, 3037, 630, 663, 1510, 11003, 267, 20857, 267, 610, 649, 5338, 264, 2306, 1919, 513, 2603, 4443, 547, 1332, 267, 543, 711, 547, 2446, 1454, 811, 10853, 585, 1346, 540, 721, 609, 6263, 4683, 6539, 29353, 563, 12024, 782, 2371, 267, 713, 1505, 3340, 7943, 543, 1216, 269, 589, 1434, 19558, 4577, 1062, 7727, 519, 968, 15711, 892, 630, 6748, 513, 2027, 1769, 1070, 7132, 519, 5567, 1336, 538, 3037, 630, 328, 4318, 1421, 513, 2027, 5277, 2030, 1426, 602, 779, 3773, 547, 519, 1216, 1040, 1403, 596, 2461, 18822, 2614, 547, 723, 1569, 547, 513, 3595, 9101, 267, 513, 9649, 13566, 6885, 267, 513, 11188, 577, 267, 610, 513, 31241, 641, 267, 1287, 596, 666, 18178, 519, 1769, 267, 540, 1576, 563, 15371, 596, 3442, 513, 1582, 1606, 11211, 2511, 610, 979, 513, 811, 18789, 8905, 267, 2030, 16455, 543, 4683, 32529, 10787, 1067, 19162, 595, 7491, 2794, 553, 540, 12567, 27717, 21239, 3838, 930, 1390, 4030, 593, 3395, 707, 1378, 19787, 19558, 517, 1227, 563, 10527, 5898, 540, 3395, 16280, 568, 602, 596, 1810, 1406, 991, 547, 5855, 607, 1454, 827, 1141, 519, 2030, 8385, 9428, 2223, 595, 7491, 2794, 553, 1767, 269, 968, 2691, 596, 1332, 16280, 267, 596, 666, 13861, 707, 11255, 1604, 543, 4603, 609, 2189, 8677, 602, 9327, 1406, 7639, 538, 707, 9205, 1604, 3034, 23744, 267, 646, 7074, 267, 4005, 1275, 568, 5458, 950, 621, 2501, 547, 16116, 2371, 2443, 2371, 899, 21364, 16719, 267, 26882, 17112, 267, 543, 29761, 28667, 2648, 519, 3579, 14927, 5210, 540, 5614, 267, 1247, 4832, 568, 1655, 585, 31480, 267, 14274, 267, 543, 23601, 2443, 855, 891, 2188, 2339, 513, 2898, 2603, 1447, 950, 19558, 4577, 12202, 563, 2252, 519, 3902, 11090, 540, 930, 540, 891, 12202, 1949, 568, 15658, 2590, 596, 689, 19558, 4577, 12202, 267, 649, 10356, 930, 4388, 593, 875, 547, 1205, 3323, 3054, 538, 1175, 513, 1906, 3108, 630, 1721, 1175, 513, 1906, 536, 15085, 264, 689, 13334, 779, 5172, 4274, 19558, 4577, 32529, 267, 19375, 11709, 291, 15120, 2465, 269, 769, 713, 3381, 267, 646, 8843, 1010, 1655, 968, 10177, 1456, 14743, 892, 585, 1007, 9812, 3168, 547, 1205, 741, 11255, 11922, 593, 563, 268, 29597, 619, 281, 968, 15368, 1227, 1022, 8708, 602, 6585, 1216, 786, 960, 1848, 1809, 607, 11709, 291, 15120, 2465, 2798, 856, 267, 13479, 14560, 1769, 2443, 543, 596, 1810, 1406, 1616, 13479, 256, 1809, 952, 596, 2461, 1210, 513, 2312, 8708, 267, 899, 513, 28224, 808, 541, 267, 968, 9767, 2461, 2469, 547, 1616, 547, 3625, 856, 519, 1769, 269, 1411, 666, 946, 5862, 267, 3276, 331, 777, 267, 1256, 2025, 26852, 1848, 2107, 1256, 1732, 267, 2007, 909, 1945, 32630, 267, 899, 513, 5144, 795, 1872, 563, 268, 7233, 11680, 281, 968, 2791, 666, 4444, 2121, 11680, 610, 1491, 513, 20105, 1055, 513, 7535, 562, 22259, 2223, 11709, 291, 15120, 2465, 3081, 269, 634, 3483, 540, 891, 11680, 568, 547, 7080, 754, 519, 2371, 267, 5329, 873, 20005, 538, 519, 1216, 563, 268, 9412, 342, 944, 281, 1452, 616, 519, 2370, 10945, 609, 9475, 538, 873, 267, 789, 1745, 3592, 899, 10412, 17711, 269, 1411, 1376, 5452, 538, 873, 269, 968, 21607, 513, 4062, 540, 4224, 342, 944, 538, 707, 2121, 7484, 267, 1287, 538, 519, 1647, 267, 649, 2322, 513, 1906, 5452, 883, 621, 3034, 268, 715, 19153, 281, 11709, 291, 15120, 2465, 15565, 513, 7848, 540, 2030, 3536, 602, 616, 3362, 2139, 593, 8835, 281, 9457, 4565, 754, 8751, 6737, 543, 17164, 762, 16754, 267, 476, 275, 268, 1240, 268, 4343, 267, 661, 1186, 558, 6070, 267, 543, 25289, 21193, 3433, 476, 1428, 269, 276, 268, 271, 268, 271, 269, 1261, 30012, 476, 1321, 10101, 540, 519, 9457, 4565, 754, 4542, 267, 476, 1321, 10101, 540, 519, 25289, 21193, 3433, 267, 543, 476, 277, 10101, 540, 661, 1186, 558, 6070, 538, 513, 2947, 3766, 718, 517, 19943, 540, 1216, 267, 28817, 2394, 621, 779, 782, 15702, 563, 268, 12518, 281, 3767, 267, 585, 519, 1187, 851, 2443, 596, 666, 1376, 609, 5452, 538, 4224, 342, 944, 267, 610, 596, 666, 1175, 2212, 593, 936, 547, 707, 2199, 4677, 6300, 547, 10544, 930, 25690, 2371, 269, 11709, 291, 15120, 2465, 15565, 21364, 16719, 543, 11922, 267, 899, 1577, 14654, 806, 267, 669, 731, 267, 25989, 267, 24958, 267, 543, 20511, 269, 15439, 27125, 1055, 519, 5072, 267, 6529, 873, 883, 519, 2121, 11680, 610, 7535, 30653, 267, 1118, 2386, 519, 8770, 11656, 1216, 568, 15700, 519, 5377, 540, 519, 2030, 5072, 267, 543, 1376, 3395, 2336, 300, 833, 779, 5172, 9133, 281, 634, 1216, 1377, 786, 6749, 1310, 513, 3787, 267, 855, 1810, 1406, 6445, 621, 1394, 909, 547, 519, 1283, 540, 707, 8708, 269, 3371, 779, 1946, 281, 2991, 513, 2110, 942, 267, 596, 3580, 5469, 6263, 27967, 5072, 3395, 693, 519, 3490, 540, 707, 2030, 269, 11709, 291, 15120, 2465, 3081, 891, 666, 1406, 581, 24760, 2443, 621, 779, 2965, 875, 519, 2371, 968, 321, 805, 515, 1848, 1280, 519, 1072, 5006, 2371, 267, 1010, 4341, 540, 14853, 568, 547, 1832, 707, 8708, 827, 476, 274, 270, 275, 547, 476, 272, 270, 273, 2407, 609, 519, 1216, 5991, 22021, 3575, 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 ]
[ 8426, 476, 16409, 267, 476, 2568, 278, 1700, 30663, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 269, 3250, 269, 1001, 272, 269, 6187, 269, 30588, 454, 313, 5028, 267, 918, 1421, 543, 2098, 770, 516, 267, 808, 269, 630, 1001, 279, 1040, 853, 8494, 1436, 540, 519, 3834, 2135, 807, 2987, 3027, 1043, 16606, 16748, 268, 272, 13672, 630, 295, 9281, 268, 272, 10401, 264, 538, 555, 3554, 710, 10638, 568, 25358, 676, 7510, 745, 341, 622, 13250, 269, 24768, 565, 269, 10331, 269, 24103, 565, 269, 476, 28307, 267, 476, 5197, 1700, 6642, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 269, 3279, 777, 269, 1001, 279, 269, 5881, 269, 21916, 454, 313, 28702, 267, 623, 1421, 570, 7945, 31843, 267, 918, 1421, 20943, 9655, 7534, 267, 570, 1421, 918, 2313, 12011, 4821, 267, 670, 1421, 2672, 573, 553, 926, 267, 590, 1421, 24051, 820, 344, 4821, 267, 631, 1421, 1696, 620, 269, 630, 1001, 277, 1040, 12192, 645, 277, 11151, 14889, 268, 272, 15883, 3940, 2504, 676, 32485, 715, 299, 14641, 274, 5343, 553, 727, 11852, 269, 808, 269, 22776, 269, 6314, 269, 476, 29720, 267, 476, 25090, 1704, 1700, 25090, 2767, 269, 8222, 281, 476, 1015, 269, 13040, 275, 10768, 25900, 8160, 14138, 269, 278, 6246, 279, 1428, 454, 313, 28702, 267, 570, 1421, 543, 26689, 639, 267, 654, 269, 700, 269, 630, 1001, 271, 1040, 590, 7644, 307, 272, 17466, 7939, 540, 6985, 11294, 543, 16606, 281, 16046, 715, 4696, 263, 266, 264, 10307, 543, 15202, 547, 519, 1852, 540, 10408, 3252, 269, 12713, 577, 574, 269, 4437, 19398, 269, 2920, 320, 476, 5197, 275, 267, 476, 14917, 277, 1700, 15757, 276, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 269, 6277, 777, 777, 269, 1220, 280, 269, 1015, 269, 28873, 454, 21292, 281, 645, 8686, 527, 7530, 267, 5378, 334, 5991, 13086, 15202, 267, 570, 7563, 4783, 31571, 267, 1035, 2643, 15801, 288, 267, 19535, 5135, 2249, 267, 521, 7398, 340, 1231, 267, 27981, 2045, 12381, 454, 290, 2787, 281, 808, 753, 11420, 808, 297, 292, 267, 717, 10915, 974, 590, 267, 3223, 6359, 518, 808, 543, 632, 4425, 518, 966, 290, 297, 630, 1001, 280, 264, 14600, 334, 9539, 13086, 9442, 676, 14600, 13578, 7434, 5450, 21966, 2572, 543, 4706, 19938, 676, 645, 13305, 527, 7530, 269, 13571, 269, 4284, 2723, 269, 476, 1015, 281, 4281, 269, 8222, 281, 476, 1015, 269, 24783, 280, 11721, 31850, 269, 1001, 280, 269, 1822, 4281, 454, 3725, 18727, 281, 476, 4905, 5181, 476, 1001, 279, 282, 20504, 539, 281, 476, 2420, 5130, 476, 1001, 280, 3248, 13775, 281, 476, 1321, 5988, 476, 1001, 280, 563, 10955, 1243, 676, 281, 298, 18288, 26450, 320, 645, 20415, 267, 2160, 540, 28228, 333, 3122, 267, 5125, 454, 18800, 539, 676, 281, 308, 933, 5576, 331, 3430, 1676, 267, 10713, 527, 2946, 717, 1066, 984, 548, 1325, 6647, 267, 5333, 454, 31861, 670, 597, 22385, 344, 267, 16099, 2160, 6481, 4741, 267, 2136, 2276, 454, 15648, 9736, 476, 1001, 280, 808, 753, 11420, 267, 717, 10915, 974, 267, 3223, 6359, 518, 543, 632, 4425, 518, 269, 901, 568, 606, 1930, 14092, 947, 2376, 7856, 896, 519, 2474, 540, 519, 11300, 12780, 21922, 17821, 630, 6717, 15760, 1040, 634, 946, 267, 3892, 610, 12093, 538, 824, 15473, 568, 15868, 267, 3177, 519, 3312, 2278, 4433, 264, 543, 519, 10677, 8227, 4433, 264, 616, 20295, 543, 602, 519, 3312, 8313, 538, 713, 4760, 568, 11855, 267, 538, 13076, 609, 7608, 4081, 2259, 269, 3143, 946, 267, 3892, 610, 12093, 568, 15868, 799, 1281, 711, 16783, 609, 891, 2474, 563, 265, 17357, 22046, 775, 281, 27673, 595, 269, 808, 269, 632, 4425, 518, 267, 18078, 17106, 11333, 3820, 0, 2252, 513, 1007, 15743, 2501, 2059, 267, 519, 27585, 786, 711, 917, 875, 547, 6146, 519, 15743, 269, 898, 786, 1287, 1491, 3476, 585, 519, 27585, 547, 6146, 519, 15743, 269, 6884, 267, 621, 949, 1256, 581, 1932, 3735, 269, 6969, 519, 27585, 16137, 267, 519, 15743, 949, 6861, 519, 14500, 269, 6684, 267, 952, 938, 1560, 729, 711, 18764, 267, 938, 1560, 786, 711, 917, 875, 547, 4339, 519, 17900, 1317, 621, 1705, 711, 723, 519, 2259, 269, 1635, 519, 942, 938, 1560, 16137, 875, 547, 4339, 621, 267, 621, 949, 581, 1932, 3735, 563, 2691, 782, 540, 519, 29843, 5531, 693, 519, 5180, 14456, 789, 3589, 799, 22645, 786, 581, 513, 3463, 547, 519, 14500, 585, 602, 1032, 269, 22353, 267, 789, 3142, 856, 9604, 689, 741, 5728, 588, 1662, 543, 2285, 873, 547, 1978, 29843, 269, 901, 1032, 267, 789, 4956, 602, 519, 22774, 26987, 22645, 949, 3442, 547, 4323, 519, 14500, 269, 634, 6205, 27585, 6770, 519, 22774, 9589, 15743, 4336, 543, 3947, 621, 547, 513, 27585, 269, 1261, 1287, 15920, 1864, 1055, 547, 14710, 519, 15743, 269, 901, 4523, 609, 1082, 811, 1761, 22645, 269, 589, 27585, 786, 711, 581, 2111, 547, 979, 547, 6370, 952, 789, 798, 711, 723, 930, 1106, 540, 14049, 563, 4263, 519, 5180, 3349, 267, 519, 29843, 1865, 519, 2956, 540, 9396, 908, 1142, 1826, 540, 15743, 269, 1358, 1589, 621, 568, 811, 1271, 547, 5965, 519, 29843, 547, 4323, 519, 6793, 22645, 945, 798, 811, 3441, 547, 519, 14500, 982, 519, 21260, 22645, 945, 3112, 6861, 519, 14500, 269, 901, 568, 1946, 789, 1101, 6966, 29843, 547, 4339, 519, 6793, 22645, 543, 16491, 873, 609, 741, 2556, 9604, 563, 1103, 519, 30152, 2244, 540, 966, 1446, 540, 3794, 537, 322, 4394, 10921, 267, 972, 616, 1082, 2370, 28151, 269, 3962, 10806, 814, 922, 1378, 14500, 269, 1717, 267, 538, 519, 2244, 540, 966, 1446, 540, 3794, 537, 322, 4394, 10921, 267, 519, 25267, 616, 1360, 2673, 1927, 269, 1924, 267, 519, 22645, 22215, 513, 14500, 666, 4323, 30240, 3283, 607, 1134, 563, 299, 537, 1047, 5828, 547, 11184, 11977, 609, 513, 1413, 540, 6161, 269, 968, 1432, 1131, 4755, 547, 513, 10806, 609, 1100, 29843, 9495, 968, 11039, 2223, 11184, 11977, 15527, 267, 968, 5278, 22645, 666, 8038, 865, 24847, 543, 616, 1360, 5906, 267, 855, 952, 649, 666, 2149, 938, 1378, 10806, 267, 1287, 938, 30256, 616, 1447, 2693, 547, 7237, 22645, 1317, 649, 723, 17204, 873, 1101, 269, 1403, 649, 1810, 1406, 14710, 519, 22645, 3533, 267, 519, 22645, 666, 3262, 3564, 938, 6821, 543, 4323, 519, 25267, 1472, 721, 269, 901, 568, 2523, 5906, 585, 25267, 602, 723, 8373, 8165, 22645, 267, 543, 621, 568, 1271, 602, 649, 1451, 547, 4339, 538, 1931, 547, 2149, 6000, 543, 938, 30240, 28151, 269, 901, 2636, 519, 3003, 10806, 547, 581, 2922, 689, 519, 22645, 1932, 17373, 7200, 1047, 519, 4858, 557, 6743, 856, 693, 519, 2244, 269, 2701, 4718, 930, 22645, 602, 2951, 1360, 3728, 267, 543, 1866, 602, 16611, 3533, 269, 834, 2005, 1131, 1491, 513, 2603, 540, 29843, 547, 581, 5423, 538, 1931, 547, 2061, 1346, 22645, 689, 10825, 782, 2066, 519, 2244, 2223, 1352, 2219, 269, 19452, 267, 3744, 21656, 17900, 676, 875, 3533, 789, 666, 3262, 269, 4495, 835, 1268, 4991, 7210, 267, 789, 666, 3468, 1866, 1354, 789, 4383, 547, 1205, 1732, 267, 1256, 952, 789, 1810, 1406, 1413, 610, 1745, 7210, 269, 901, 568, 513, 2462, 3815, 538, 14045, 799, 10108, 616, 1271, 547, 1711, 10074, 1996, 543, 875, 1082, 1004, 991, 547, 1205, 18764, 547, 2149, 519, 2551, 543, 519, 1004, 945, 3112, 1205, 18764, 267, 899, 519, 1762, 267, 2025, 267, 610, 1346, 945, 616, 2907, 7210, 563, 763, 28151, 7283, 2922, 543, 3280, 7064, 547, 519, 12703, 543, 2178, 29843, 269, 4595, 789, 5423, 2933, 609, 519, 3617, 9604, 543, 2994, 1354, 519, 6370, 267, 789, 6707, 17204, 519, 22645, 269, 634, 966, 1446, 540, 3794, 537, 322, 4394, 10921, 3788, 25133, 269, 8729, 547, 10074, 267, 649, 786, 2611, 2635, 1256, 950, 649, 7237, 17900, 269, 634, 2281, 540, 938, 4761, 1062, 786, 723, 4121, 875, 547, 4339, 519, 17900, 865, 950, 519, 17900, 798, 4323, 267, 649, 723, 938, 1034, 2500, 8396, 4640, 4712, 547, 979, 269, 0, 14457, 630, 10907, 13681, 520, 264, 11657, 11711, 454, 6826, 2386, 602, 596, 723, 606, 3498, 547, 1930, 713, 3758, 1826, 1354, 23842, 543, 5924, 11449, 563, 296, 899, 547, 2285, 3214, 513, 5943, 585, 4543, 873, 1589, 543, 2992, 2390, 741, 1565, 269, 901, 2241, 4976, 2337, 1453, 1589, 827, 606, 1995, 267, 2680, 610, 1565, 538, 513, 1582, 18022, 29193, 1259, 269, 898, 781, 519, 4098, 540, 10763, 543, 2976, 894, 3206, 563, 2252, 596, 899, 713, 15154, 8018, 267, 5225, 4734, 513, 12773, 543, 513, 6085, 269, 11289, 596, 454, 2791, 1522, 849, 899, 281, 0, 7021, 519, 1576, 540, 942, 972, 814, 1044, 1454, 14046, 7521, 7282, 922, 5339, 5169, 543, 519, 3169, 7389, 540, 950, 543, 1141, 2621, 3576, 1747, 269, 4475, 267, 519, 5869, 786, 5884, 585, 1010, 1004, 950, 519, 2680, 16912, 539, 3294, 269, 898, 10525, 875, 513, 5869, 1058, 581, 538, 519, 1483, 1158, 269, 4438, 519, 942, 540, 17454, 29017, 976, 267, 29028, 568, 1031, 547, 6655, 2147, 7907, 971, 607, 21644, 267, 3661, 543, 7592, 538, 799, 519, 1915, 540, 645, 29028, 4865, 269, 594, 3494, 606, 12473, 5869, 568, 2576, 602, 568, 1360, 12703, 543, 1281, 1945, 9058, 269, 901, 10039, 30140, 950, 621, 2501, 547, 519, 3504, 855, 4626, 7062, 12473, 6648, 29028, 563, 763, 17454, 29509, 6648, 267, 29028, 267, 729, 8385, 5143, 30375, 1287, 2663, 729, 2854, 1524, 26687, 3585, 538, 519, 6196, 2296, 1893, 269, 2290, 1590, 581, 678, 3578, 1652, 267, 2706, 16058, 267, 543, 524, 7342, 267, 1174, 519, 991, 585, 15093, 267, 723, 11348, 267, 543, 581, 29752, 269, 1879, 3206, 827, 12473, 12325, 1004, 6140, 723, 1114, 1826, 540, 2592, 269, 634, 1101, 568, 14017, 267, 607, 7152, 676, 519, 2078, 1063, 7083, 543, 982, 324, 269, 22682, 711, 519, 17454, 4149, 1314, 976, 945, 5156, 602, 782, 602, 7283, 540, 513, 1268, 729, 1010, 21239, 563, 3080, 540, 519, 1101, 6411, 540, 20947, 4386, 950, 13983, 526, 601, 10523, 269, 1548, 2306, 29028, 3677, 982, 1272, 568, 1373, 519, 16999, 24116, 1472, 269, 901, 666, 581, 2938, 950, 646, 568, 827, 547, 4339, 13983, 526, 601, 269, 1548, 568, 713, 12139, 3478, 693, 286, 769, 2487, 5756, 267, 25743, 5594, 856, 15893, 24273, 269, 1879, 12473, 9954, 2968, 2442, 1282, 519, 17454, 29509, 1974, 789, 941, 4904, 609, 3771, 8089, 8941, 540, 22838, 267, 543, 10100, 269, 29028, 6799, 513, 7848, 540, 4168, 543, 25384, 2609, 670, 549, 628, 3258, 568, 27313, 560, 4599, 569, 513, 1395, 6139, 626, 267, 1207, 713, 1004, 941, 5356, 15093, 547, 25384, 10971, 950, 13983, 526, 601, 3361, 873, 547, 21817, 269, 1323, 17454, 29509, 5869, 568, 513, 1268, 945, 814, 1434, 5718, 7907, 267, 568, 2111, 543, 8348, 547, 1683, 1004, 609, 513, 2631, 540, 3354, 267, 543, 568, 8348, 547, 979, 883, 8594, 5103, 2009, 2800, 547, 2933, 563, 17951, 5979, 4149, 1314, 976, 941, 519, 1101, 1004, 538, 4789, 547, 723, 513, 1893, 602, 729, 513, 7848, 540, 3943, 543, 2025, 2296, 269, 13983, 526, 601, 568, 513, 15265, 543, 2178, 20599, 602, 9810, 3278, 519, 667, 6951, 269, 17957, 519, 16502, 267, 29028, 267, 543, 1010, 24575, 540, 5601, 3697, 19870, 2636, 519, 5467, 547, 4612, 29028, 5128, 607, 519, 3844, 856, 4751, 267, 4540, 538, 606, 20541, 1158, 269, 769, 1840, 267, 519, 17454, 29509, 1871, 540, 10100, 729, 13269, 950, 29028, 4250, 8393, 13934, 13983, 526, 601, 1510, 519, 946, 540, 513, 14049, 269, 29028, 2306, 4704, 547, 16016, 15505, 543, 1010, 7385, 543, 519, 4947, 1261, 987, 984, 731, 21535, 281, 538, 602, 3905, 6612, 1010, 2648, 585, 4708, 32734, 11232, 267, 1010, 7385, 267, 786, 3579, 476, 18684, 276, 268, 5780, 901, 568, 513, 4686, 8574, 267, 585, 17454, 29509, 6965, 10355, 19528, 11509, 4606, 4724, 2021, 269, 717, 1177, 664, 15320, 689, 713, 6015, 543, 30107, 995, 10182, 540, 519, 2983, 1846, 1813, 547, 519, 18803, 543, 1330, 974, 748, 10182, 602, 646, 11438, 563, 25748, 267, 594, 1336, 29080, 531, 5638, 2228, 30260, 602, 519, 8004, 6869, 25978, 729, 8197, 19071, 1242, 538, 519, 5783, 540, 8581, 267, 6019, 570, 23124, 776, 267, 8250, 540, 7917, 1411, 333, 613, 267, 10507, 336, 269, 2353, 1614, 540, 891, 7239, 5206, 3134, 923, 602, 946, 519, 1523, 540, 513, 1395, 558, 2814, 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 ]
[ 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 277, 912, 1038, 1820, 3488, 4037, 270, 1911, 277, 815, 476, 271, 269, 5881, 275, 4649, 273, 6924, 274, 8660, 277, 277, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 278, 912, 1038, 1820, 3488, 4037, 270, 1911, 278, 815, 476, 271, 269, 5881, 275, 275, 4281, 5038, 280, 28526, 279, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 279, 912, 1038, 1820, 3488, 4037, 270, 1911, 279, 815, 476, 271, 269, 5881, 275, 29024, 278, 8618, 3445, 275, 279, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 280, 912, 1038, 1820, 3488, 4037, 270, 1911, 280, 815, 476, 271, 269, 5881, 275, 28664, 22903, 279, 1321, 278, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 271, 912, 1038, 1820, 3488, 4037, 270, 6200, 271, 815, 476, 271, 269, 5881, 275, 27038, 28883, 278, 5655, 277, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 272, 912, 1038, 1820, 3488, 4037, 270, 6200, 272, 815, 476, 271, 269, 5881, 275, 8146, 9032, 277, 28360, 272, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 273, 912, 1038, 1820, 3488, 4037, 270, 6200, 273, 815, 476, 271, 269, 5881, 275, 8099, 6858, 272, 280, 3607, 279, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 274, 912, 1038, 1820, 3488, 4037, 270, 6200, 274, 815, 476, 271, 269, 5881, 275, 271, 4391, 24423, 26552, 277, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 275, 912, 1038, 1820, 3488, 4037, 270, 6200, 275, 815, 476, 271, 269, 5881, 274, 280, 5038, 5392, 278, 271, 6078, 275, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 276, 912, 1038, 1820, 3488, 4037, 270, 6200, 276, 815, 476, 271, 269, 5881, 274, 8660, 272, 27698, 277, 1428, 279, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 277, 912, 1038, 1820, 3488, 4037, 270, 6200, 277, 815, 476, 271, 269, 5881, 274, 279, 1240, 8660, 278, 277, 4391, 279, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 278, 912, 1038, 1820, 3488, 4037, 270, 6200, 278, 815, 476, 271, 269, 5881, 274, 278, 5379, 24374, 6924, 275, 275, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 279, 912, 1038, 1820, 3488, 4037, 270, 6200, 279, 815, 476, 271, 269, 5881, 274, 6858, 274, 279, 3583, 31172, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 6200, 280, 912, 1038, 1820, 3488, 4037, 270, 6200, 280, 815, 476, 271, 269, 5881, 274, 31430, 31816, 14917, 279, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 271, 912, 1038, 1820, 3488, 4037, 270, 9083, 271, 815, 476, 271, 269, 5881, 274, 276, 3066, 30329, 278, 5038, 278, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 272, 912, 1038, 1820, 3488, 4037, 270, 9083, 272, 815, 476, 271, 269, 5881, 274, 3393, 278, 4375, 275, 278, 1556, 272, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 273, 912, 1038, 1820, 3488, 4037, 270, 9083, 273, 815, 476, 271, 269, 5881, 274, 4343, 276, 276, 1240, 6795, 272, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 274, 912, 1038, 1820, 3488, 4037, 270, 9083, 274, 815, 476, 271, 269, 5881, 274, 27123, 4281, 273, 4200, 272, 273, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 275, 912, 1038, 1820, 3488, 4037, 270, 9083, 275, 815, 476, 271, 269, 5881, 274, 26237, 6942, 276, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 276, 912, 1038, 1820, 3488, 4037, 270, 9083, 276, 815, 476, 271, 269, 5881, 274, 10204, 278, 4029, 3583, 278, 274, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 277, 912, 1038, 1820, 3488, 4037, 270, 9083, 277, 815, 476, 271, 269, 5881, 274, 271, 4200, 25870, 14225, 278, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 278, 912, 1038, 1820, 3488, 4037, 270, 9083, 278, 815, 476, 271, 269, 5881, 274, 271, 2764, 26801, 276, 5952, 273, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 279, 912, 1038, 1820, 3488, 4037, 270, 9083, 279, 815, 476, 271, 269, 5881, 273, 4817, 278, 2735, 4510, 274, 277, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9083, 280, 912, 1038, 1820, 3488, 4037, 270, 9083, 280, 815, 476, 271, 269, 5881, 273, 6434, 277, 29574, 4391, 277, 272, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 271, 912, 1038, 1820, 3488, 4037, 270, 9818, 271, 815, 476, 271, 269, 5881, 273, 279, 1428, 276, 3451, 280, 3199, 277, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 272, 912, 1038, 1820, 3488, 4037, 270, 9818, 272, 815, 476, 271, 269, 5881, 273, 278, 4510, 3445, 278, 5952, 277, 276, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 273, 912, 1038, 1820, 3488, 4037, 270, 9818, 273, 815, 476, 271, 269, 5881, 273, 6858, 275, 275, 1240, 2568, 275, 278, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 274, 912, 1038, 1820, 3488, 4037, 270, 9818, 274, 815, 476, 271, 269, 5881, 273, 2568, 275, 271, 4792, 279, 2767, 278, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 275, 912, 1038, 1820, 3488, 4037, 270, 9818, 275, 815, 476, 271, 269, 5881, 273, 276, 3451, 279, 5392, 15782, 277, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 276, 912, 1038, 1820, 3488, 4037, 270, 9818, 276, 815, 476, 271, 269, 5881, 273, 5379, 274, 278, 6924, 12893, 280, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 277, 912, 1038, 1820, 3488, 4037, 270, 9818, 277, 815, 476, 271, 269, 5881, 273, 4375, 274, 279, 2420, 4375, 274, 279, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 278, 912, 1038, 1820, 3488, 4037, 270, 9818, 278, 815, 476, 271, 269, 5881, 273, 27844, 18733, 6872, 272, 279, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 279, 912, 1038, 1820, 3488, 4037, 270, 9818, 279, 815, 476, 271, 269, 5881, 273, 22724, 28178, 18605, 272, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 9818, 280, 912, 1038, 1820, 3488, 4037, 270, 9818, 280, 815, 476, 271, 269, 5881, 273, 7277, 8064, 274, 271, 3583, 274, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 271, 912, 1038, 1820, 3488, 4037, 270, 10441, 271, 815, 476, 271, 269, 5881, 273, 12893, 29575, 277, 1428, 275, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 272, 912, 1038, 1820, 3488, 4037, 270, 10441, 272, 815, 476, 271, 269, 5881, 273, 271, 5379, 11820, 27944, 272, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 273, 912, 1038, 1820, 3488, 4037, 270, 10441, 273, 815, 476, 271, 269, 5881, 272, 9032, 277, 280, 6858, 24907, 275, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 274, 912, 1038, 1820, 3488, 4037, 270, 10441, 274, 815, 476, 271, 269, 5881, 272, 3445, 278, 4817, 278, 279, 1691, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 275, 912, 1038, 1820, 3488, 4037, 270, 10441, 275, 815, 476, 271, 269, 5881, 272, 279, 4375, 24699, 3393, 280, 279, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 276, 912, 1038, 1820, 3488, 4037, 270, 10441, 276, 815, 476, 271, 269, 5881, 272, 278, 3583, 31172, 280, 2764, 273, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 277, 912, 1038, 1820, 3488, 4037, 270, 10441, 277, 815, 476, 271, 269, 5881, 272, 3583, 272, 24798, 279, 6078, 274, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 278, 912, 1038, 1820, 3488, 4037, 270, 10441, 278, 815, 476, 271, 269, 5881, 272, 277, 3451, 26801, 279, 2420, 274, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 279, 912, 1038, 1820, 3488, 4037, 270, 10441, 279, 815, 476, 271, 269, 5881, 272, 276, 5038, 279, 5952, 5392, 277, 273, 5073, 825, 952, 1003, 272, 2652, 476, 4037, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 10441, 280, 912, 1038, 1820, 3488, 4037, 270, 10441, 280, 815, 476, 271, 269, 5881, 272, 5392, 277, 5780, 274, 4366, 280, 5073, 825, 952, 1003, 272, 2652, 476, 10602, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 271, 912, 1038, 1820, 3488, 10602, 270, 1911, 271, 815, 476, 271, 269, 5881, 277, 5073, 825, 952, 1003, 272, 2652, 476, 10602, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 272, 912, 1038, 1820, 3488, 10602, 270, 1911, 272, 815, 476, 271, 269, 271, 4037, 280, 2190, 271, 4037, 280, 2190, 272, 5073, 825, 952, 1003, 272, 2652, 476, 10602, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 273, 912, 1038, 1820, 3488, 10602, 270, 1911, 273, 815, 476, 271, 269, 271, 4037, 279, 4366, 24062, 4375, 274, 273, 5073, 825, 952, 1003, 272, 2652, 476, 10602, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 274, 912, 1038, 1820, 3488, 10602, 270, 1911, 274, 815, 476, 271, 269, 271, 4037, 6507, 273, 6924, 272, 4817, 275, 272, 5073, 825, 952, 1003, 272, 2652, 476, 10602, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 275, 912, 1038, 1820, 3488, 10602, 270, 1911, 275, 815, 476, 271, 269, 271, 4037, 7597, 278, 21076, 14028, 275, 5073, 825, 952, 1003, 272, 2652, 476, 10602, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 276, 912, 1038, 1820, 3488, 10602, 270, 1911, 276, 815, 476, 271, 269, 271, 4037, 277, 2641, 279, 3445, 276, 5325, 274, 5073, 825, 952, 1003, 272, 2652, 476, 10602, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 277, 912, 1038, 1820, 3488, 10602, 270, 1911, 277, 815, 476, 271, 269, 271, 4037, 276, 5379, 278, 866, 6924, 272, 280, 5073, 825, 952, 1003, 272, 2652, 476, 10602, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 278, 912, 1038, 1820, 3488, 10602, 270, 1911, 278, 815, 476, 271, 269, 271, 4037, 5325, 272, 277, 7176, 13647, 273, 5073, 825, 952, 1003, 272, 2652, 476, 10602, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 1911, 279, 912, 1038, 1820, 3488, 10602, 270, 1911, 279, 815, 476, 271, 269, 271, 4037 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 621, 26182, 563, 2171, 3494, 782, 1053, 1058, 723, 519, 4316, 547, 798, 865, 269, 1284, 9244, 5000, 570, 15086, 572, 753, 547, 9718, 6000, 1996, 519, 24890, 540, 7855, 945, 616, 20678, 267, 1169, 1554, 267, 547, 2285, 1053, 519, 1655, 2069, 2009, 281, 835, 2407, 540, 519, 1930, 14374, 267, 2565, 3206, 543, 7521, 602, 814, 2141, 1044, 693, 519, 2295, 540, 713, 2197, 779, 9153, 563, 2171, 2417, 3365, 7596, 519, 5450, 549, 27850, 6807, 8274, 540, 4065, 779, 796, 29434, 748, 8917, 585, 922, 6571, 6450, 4157, 532, 519, 1876, 267, 543, 7555, 609, 7855, 547, 17551, 602, 968, 718, 1053, 17330, 547, 1294, 4977, 11269, 540, 2933, 538, 741, 2069, 3034, 1607, 21175, 267, 607, 596, 2671, 1426, 543, 31776, 609, 707, 6068, 3283, 267, 1577, 779, 11760, 3013, 779, 1950, 1686, 602, 568, 2407, 540, 1928, 543, 9153, 267, 543, 2285, 7064, 585, 1346, 945, 1118, 1434, 8373, 547, 1689, 621, 563, 299, 27558, 1715, 2006, 568, 519, 13653, 543, 2212, 540, 1153, 693, 20828, 14224, 2218, 9142, 538, 27850, 6807, 269, 0, 295, 7838, 30278, 3198, 292, 16910, 1014, 1223, 9594, 513, 3002, 24859, 538, 10430, 543, 519, 5177, 713, 3018, 910, 1310, 519, 2197, 568, 1101, 1025, 16556, 609, 513, 476, 273, 267, 1822, 28902, 2647, 8701, 28306, 689, 19360, 563, 763, 5450, 8433, 1767, 519, 21145, 476, 276, 7088, 568, 1034, 2693, 547, 8095, 689, 519, 15840, 24252, 547, 19360, 610, 23529, 267, 647, 9535, 3636, 1164, 2604, 547, 6628, 538, 513, 3018, 781, 942, 563, 28959, 24859, 2175, 538, 519, 5177, 666, 581, 3361, 676, 608, 3620, 584, 21814, 267, 608, 5174, 6195, 543, 5450, 8433, 2062, 322, 2120, 3627, 30623, 1180, 540, 4365, 339, 16781, 532, 1767, 563, 763, 5450, 8433, 1767, 513, 1447, 6438, 569, 9183, 12034, 16910, 1014, 1780, 6251, 547, 6628, 267, 8744, 6632, 2175, 563, 3719, 1101, 267, 6777, 568, 9472, 593, 10430, 781, 10239, 689, 2221, 267, 13738, 16661, 6176, 6796, 1767, 563, 763, 5450, 8433, 9472, 8701, 17535, 2011, 689, 19360, 8744, 15470, 538, 10430, 543, 476, 273, 290, 17334, 267, 609, 476, 275, 290, 1970, 338, 538, 4789, 563, 288, 3345, 4149, 1926, 8237, 12034, 519, 476, 1704, 290, 3345, 3068, 2395, 540, 4764, 543, 476, 2004, 332, 874, 575, 2297, 267, 1247, 519, 5671, 518, 5045, 786, 1294, 476, 2641, 290, 563, 18404, 8433, 2062, 322, 2120, 30621, 10965, 749, 267, 6340, 593, 10732, 267, 1767, 281, 968, 295, 584, 13606, 16910, 1014, 781, 1034, 2693, 2619, 568, 1063, 19360, 543, 23529, 267, 799, 1131, 1450, 1164, 2604, 547, 1628, 585, 519, 5177, 267, 8744, 513, 11963, 540, 15911, 4365, 563, 2108, 3719, 952, 519, 2766, 1439, 540, 16910, 1014, 10596, 1175, 5087, 540, 519, 5177, 267, 930, 796, 3553, 339, 1194, 2395, 609, 6632, 4365, 1131, 581, 2693, 563, 2108, 12179, 5222, 593, 519, 5177, 1131, 581, 538, 1175, 936, 513, 3018, 781, 942, 269, 1809, 16910, 1014, 1223, 849, 535, 11170, 548, 2476, 269, 4706, 2619, 786, 581, 20501, 538, 513, 1906, 2395, 3034, 295, 584, 13606, 16910, 1014, 814, 11013, 539, 519, 15840, 24252, 609, 16160, 476, 18597, 332, 874, 31830, 338, 607, 519, 834, 5158, 18446, 257, 7088, 986, 2471, 2509, 519, 2475, 563, 19616, 4306, 30426, 5442, 21832, 306, 454, 2750, 5174, 6195, 543, 5450, 8433, 2062, 322, 2120, 3627, 30623, 1180, 540, 4365, 339, 16781, 532, 1767, 281, 968, 763, 1034, 1713, 3815, 585, 519, 5177, 781, 5181, 1223, 581, 23587, 16910, 1014, 563, 2108, 2750, 3620, 584, 21814, 262, 5222, 593, 519, 5177, 723, 24132, 689, 26688, 2842, 543, 4764, 547, 3002, 30335, 3034, 16031, 10965, 749, 1767, 281, 968, 8505, 4379, 568, 4358, 609, 8701, 17535, 2011, 689, 19360, 998, 519, 3018, 267, 2495, 513, 8037, 6749, 538, 5210, 689, 519, 476, 3451, 290, 7813, 31054, 513, 3018, 3516, 563, 29467, 781, 1761, 585, 2666, 15470, 538, 10430, 267, 609, 476, 273, 290, 1970, 338, 267, 543, 476, 275, 290, 538, 4789, 563, 28317, 3345, 4149, 1926, 8237, 786, 1294, 519, 13557, 540, 519, 4764, 538, 519, 3345, 267, 609, 476, 2412, 1700, 2004, 18890, 9381, 575, 2297, 538, 519, 3345, 4639, 593, 13723, 267, 855, 609, 519, 3162, 17321, 543, 7487, 476, 2641, 290, 1164, 338, 3034, 300, 20667, 16661, 6176, 6796, 1767, 281, 968, 307, 655, 704, 2137, 786, 2887, 2673, 547, 4642, 593, 13677, 14805, 1080, 267, 609, 29636, 9991, 693, 2547, 17303, 607, 6777, 3034, 2171, 2628, 585, 707, 2984, 543, 7044, 256, 1684, 596, 723, 513, 1650, 610, 3381, 585, 634, 13677, 6129, 286, 19478, 721, 693, 4757, 11333, 2593, 610, 1289, 476, 26522, 272, 476, 22213, 476, 26392, 271, 0, 10013, 2011, 1625, 13294, 616, 2922, 563, 6701, 11158, 5794, 8830, 13294, 15822, 888, 7197, 11158, 2011, 1625, 13294, 616, 2922, 547, 946, 593, 513, 3232, 4493, 609, 1100, 6464, 676, 335, 20094, 543, 28971, 2157, 540, 17645, 12998, 896, 519, 476, 271, 269, 30588, 28327, 3970, 14468, 676, 519, 4993, 5794, 8249, 8274, 630, 290, 2752, 289, 1040, 1717, 267, 23520, 821, 630, 302, 274, 264, 666, 1869, 581, 5906, 607, 621, 568, 513, 3810, 19535, 3154, 7768, 540, 1614, 5135, 8444, 269, 23095, 1282, 519, 11158, 23735, 2747, 267, 4598, 1256, 547, 513, 1507, 2179, 540, 17645, 666, 1291, 547, 9221, 1928, 267, 23472, 267, 26032, 540, 7362, 267, 765, 22689, 267, 543, 11563, 16698, 269, 769, 519, 1279, 2196, 267, 621, 666, 2014, 26464, 3441, 547, 938, 7929, 1949, 899, 16415, 267, 32583, 267, 10447, 4323, 267, 543, 5761, 1085, 18732, 609, 4389, 4390, 269, 5753, 267, 11361, 267, 543, 4230, 327, 15122, 1004, 786, 581, 811, 11630, 547, 17645, 865, 946, 15891, 13124, 563, 763, 26726, 667, 9734, 2060, 11158, 8830, 13294, 454, 24916, 519, 17645, 6161, 267, 16789, 7829, 540, 11158, 2011, 1625, 13294, 666, 798, 811, 2800, 982, 1434, 269, 6034, 4598, 547, 22292, 1769, 666, 1291, 547, 2960, 8781, 267, 3750, 3441, 270, 2584, 20269, 22807, 267, 16349, 10172, 267, 543, 2960, 2860, 269, 3371, 616, 1906, 2653, 4388, 593, 875, 547, 946, 513, 11158, 24846, 1944, 3926, 9108, 912, 268, 8550, 10322, 559, 1125, 707, 3946, 610, 1022, 851, 540, 519, 2960, 609, 11158, 1769, 2687, 547, 2622, 2657, 9257, 630, 21766, 264, 23988, 563, 268, 3680, 31877, 267, 14605, 1500, 11158, 2011, 1625, 13294, 602, 723, 519, 12402, 540, 682, 1136, 5739, 11158, 1282, 23735, 2747, 563, 268, 1684, 711, 1577, 1453, 610, 10130, 979, 2282, 513, 11158, 2011, 1625, 8595, 563, 268, 8550, 588, 732, 2047, 693, 22292, 1769, 269, 8550, 1448, 519, 11158, 1769, 693, 824, 1004, 607, 1134, 563, 268, 3680, 11449, 1310, 21466, 11158, 1769, 12712, 2125, 610, 22311, 602, 949, 711, 1246, 519, 15111, 8299, 19965, 12039, 630, 308, 9654, 264, 3106, 16863, 563, 268, 15509, 15565, 16459, 11158, 771, 26529, 538, 13811, 1740, 610, 693, 519, 18109, 547, 9148, 519, 4540, 2011, 6882, 2864, 982, 13868, 621, 563, 268, 1280, 5010, 946, 267, 1118, 2386, 596, 616, 5265, 9280, 610, 14018, 547, 7500, 2027, 11158, 3457, 563, 1432, 1772, 11158, 1769, 888, 19575, 19965, 1769, 568, 513, 1106, 540, 13590, 5982, 15865, 547, 519, 3750, 269, 14216, 1882, 5631, 689, 519, 3141, 12345, 267, 972, 616, 1614, 2010, 540, 11158, 1769, 630, 10013, 288, 267, 11158, 289, 267, 11158, 290, 264, 602, 4268, 538, 12451, 543, 20966, 269, 11158, 5025, 814, 519, 13074, 15423, 1063, 476, 25628, 547, 476, 6110, 16354, 267, 1246, 676, 11158, 5174, 609, 513, 15423, 1063, 476, 18231, 547, 476, 25628, 16354, 269, 11158, 4211, 814, 519, 20125, 15423, 1063, 476, 1911, 1700, 18231, 16354, 609, 519, 16595, 19089, 543, 1648, 1377, 269, 1411, 786, 1265, 11158, 2029, 1031, 538, 5010, 3156, 971, 607, 10506, 267, 3782, 7740, 267, 5898, 2892, 976, 267, 5779, 4393, 2371, 267, 15327, 267, 543, 20682, 269, 4107, 10322, 559, 1944, 3457, 1519, 2011, 1625, 13294, 946, 519, 3376, 1606, 1051, 5300, 11158, 4211, 1769, 1317, 621, 568, 519, 1034, 2500, 538, 21149, 532, 6211, 14107, 676, 21006, 741, 5027, 269, 634, 5841, 10351, 20141, 1769, 786, 849, 16220, 3441, 5046, 268, 866, 10717, 11904, 621, 20027, 563, 763, 6356, 4369, 13891, 622, 454, 5194, 1305, 3724, 609, 11158, 2029, 568, 519, 4398, 269, 2755, 972, 568, 1100, 8969, 11158, 2011, 1625, 13294, 666, 6146, 543, 30737, 10675, 17900, 267, 4551, 267, 8290, 689, 14921, 267, 621, 568, 12691, 519, 17973, 786, 2611, 6534, 538, 519, 4835, 11158, 12068, 585, 3764, 547, 606, 5662, 269, 634, 13596, 786, 723, 547, 581, 2673, 16133, 547, 519, 11158, 1769, 15941, 538, 1931, 547, 581, 4628, 24846, 1242, 269, 2368, 14471, 8833, 899, 9044, 568, 3810, 11259, 547, 11158, 5982, 602, 949, 1256, 1491, 513, 3476, 942, 547, 6146, 1055, 269, 1703, 568, 849, 519, 22292, 1769, 8515, 267, 9023, 1198, 540, 25312, 267, 519, 2450, 267, 543, 1570, 540, 519, 1769, 12712, 321, 602, 666, 1860, 519, 11158, 23735, 2747, 2773, 563, 763, 3668, 540, 13387, 11158, 6482, 1996, 23197, 14107, 568, 1776, 1455, 3390, 269, 1703, 616, 9755, 602, 6133, 17071, 2472, 2943, 1118, 909, 16995, 6811, 593, 519, 11158, 7145, 1175, 547, 8945, 1004, 883, 9140, 835, 269, 1411, 1058, 1152, 6718, 513, 11158, 2011, 1625, 8595, 689, 513, 18019, 10672, 9516, 676, 27334, 289, 543, 589, 295, 4456, 269, 0, 12024, 23162, 2575, 267, 23162, 1148, 814, 513, 3638, 1686, 2443, 855, 19599, 1906, 2835, 723, 1044, 3370, 827, 621, 267, 1256, 1498, 3308, 5159, 616, 693, 519, 21282, 540, 18010, 779, 605, 24683, 7100, 3350, 2221, 563, 6546, 779, 1946, 835, 540, 519, 811, 8037, 1568, 1373, 4843, 693, 1985, 3018, 779, 24543, 3883, 12876, 568, 968, 303, 1112, 1005, 18010, 281, 3203, 267, 9177, 267, 543, 14740, 593, 519, 6816, 543, 538, 519, 4144, 23159, 3034, 2026, 519, 6855, 5170, 267, 596, 666, 7048, 593, 654, 28384, 301, 547, 1832, 596, 1699, 593, 2199, 3377, 543, 1344, 269, 2659, 1489, 568, 1018, 8952, 654, 28384, 301, 2178, 269, 7490, 1831, 513, 4759, 2221, 269, 5213, 622, 1631, 269, 11289, 596, 563, 763, 1433, 267, 10023, 3594, 543, 811, 982, 476, 2412, 2681, 10824, 540, 23162, 1148, 17364, 811, 982, 476, 6110, 1296, 267, 568, 12995, 676, 10236, 6048, 808, 5282, 13660, 1415, 269, 1261, 1463, 338, 8419, 4139, 2160, 779, 23162, 3194, 4659, 543, 12038, 609, 654, 28384, 301, 779, 7033, 22087, 1326, 339, 827, 875, 968, 303, 1112, 1005, 18010, 892, 3357, 1927, 2443, 543, 1018, 621, 3081, 827, 23162, 3961, 267, 610, 7750, 534, 17144, 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 ]
[ 540, 14775, 547, 9089, 538, 519, 1482, 2081, 789, 1616, 2093, 23891, 1922, 324, 520, 336, 343, 323, 476, 1321, 270, 280, 270, 9032, 476, 1556, 281, 2190, 993, 2985, 476, 10844, 269, 589, 2656, 1357, 3406, 786, 7866, 602, 972, 616, 1082, 2093, 856, 972, 585, 3860, 1433, 5359, 267, 855, 789, 616, 711, 782, 1434, 2093, 4557, 1390, 3860, 1433, 1867, 2093, 563, 2252, 707, 1053, 616, 19252, 609, 2757, 4976, 6114, 267, 2119, 1210, 891, 2189, 543, 2502, 1433, 5359, 543, 1788, 2093, 269, 21763, 707, 1433, 5359, 8039, 8068, 543, 813, 571, 2213, 676, 707, 14357, 1931, 1433, 1867, 689, 938, 4274, 1603, 3028, 1796, 856, 538, 519, 1362, 609, 519, 1655, 563, 9349, 5359, 267, 1433, 267, 1867, 811, 2093, 982, 596, 3580, 2479, 946, 585, 1433, 5359, 2328, 519, 2140, 540, 707, 1433, 6430, 593, 930, 2241, 2262, 1700, 335, 27348, 1700, 12072, 563, 1839, 266, 3063, 1804, 1433, 1867, 17074, 281, 891, 968, 821, 540, 513, 2186, 892, 1433, 1867, 3785, 786, 948, 596, 547, 4497, 707, 1053, 538, 1187, 2542, 2238, 713, 1153, 1032, 269, 10812, 737, 5142, 546, 32713, 781, 4604, 476, 275, 1433, 1867, 2093, 593, 533, 15517, 1923, 1294, 811, 2093, 827, 1433, 5359, 267, 1153, 2093, 543, 1153, 3785, 269, 0, 27650, 2959, 616, 2959, 2813, 538, 519, 1974, 1373, 21503, 543, 676, 519, 1004, 1373, 21503, 630, 4186, 2858, 713, 609, 6281, 2959, 267, 799, 616, 1310, 7308, 1922, 716, 269, 32501, 568, 519, 1184, 676, 799, 1114, 7239, 543, 4529, 11753, 998, 513, 5001, 3060, 540, 2797, 2093, 998, 6283, 267, 2792, 269, 12729, 2959, 3594, 281, 936, 476, 5197, 267, 1822, 3119, 2959, 3594, 267, 3119, 2959, 2165, 4574, 267, 3119, 2959, 1382, 1957, 267, 1433, 5359, 476, 7277, 476, 31275, 3594, 267, 2165, 543, 269, 1215, 547, 5659, 513, 3119, 2707, 18178, 952, 649, 723, 1224, 824, 12206, 262, 12496, 540, 713, 2707, 610, 2959, 899, 713, 835, 267, 875, 1281, 707, 2079, 3514, 609, 269, 12729, 2707, 1557, 7084, 538, 1250, 1448, 540, 2070, 267, 1686, 28420, 519, 2250, 1247, 2542, 513, 7819, 1686, 1433, 267, 1004, 1131, 1152, 1445, 593, 519, 269, 12540, 1400, 14391, 725, 5815, 11249, 543, 1543, 3732, 2875, 1557, 5339, 2079, 609, 3119, 2707, 1765, 332, 5055, 900, 2742, 737, 718, 560, 668, 563, 28061, 1159, 603, 12314, 7548, 267, 8257, 540, 1686, 2203, 3119, 2707, 2079, 1557, 4647, 2203, 3119, 2707, 2079, 1557, 7824, 3561, 910, 2450, 269, 5675, 513, 2707, 2079, 1957, 281, 519, 4557, 9912, 1184, 972, 616, 1082, 1919, 602, 979, 883, 1603, 513, 1434, 2707, 2079, 1957, 835, 1522, 5635, 621, 547, 2679, 513, 2777, 269, 1215, 547, 2328, 606, 10763, 1557, 952, 596, 2811, 1603, 513, 17720, 2079, 2638, 1079, 610, 1614, 2959, 547, 1118, 2386, 602, 596, 723, 519, 2953, 10259, 476, 275, 563, 1607, 30453, 2488, 2143, 1344, 827, 875, 547, 2328, 1382, 4574, 1519, 7234, 1382, 4574, 607, 513, 9135, 267, 7446, 3584, 267, 543, 4466, 2959, 269, 19080, 6898, 538, 5339, 2079, 4574, 711, 2161, 2614, 547, 4196, 607, 519, 4493, 585, 606, 1557, 849, 4125, 1382, 593, 543, 2079, 540, 6281, 2959, 563, 12892, 2090, 910, 3391, 547, 30228, 2959, 1018, 568, 519, 3483, 540, 513, 1514, 2090, 2707, 2079, 910, 547, 6542, 707, 1702, 540, 519, 1514, 2090, 6437, 269, 7490, 3314, 602, 10442, 606, 1557, 568, 711, 606, 3169, 2257, 543, 602, 1775, 666, 267, 543, 798, 267, 1118, 9073, 5225, 798, 711, 19292, 547, 2911, 547, 803, 952, 596, 723, 513, 2243, 563, 13126, 2079, 1557, 1603, 3391, 585, 1153, 543, 2852, 1053, 267, 2688, 22967, 4650, 1260, 269, 4635, 2959, 1134, 1776, 3844, 3804, 950, 1210, 2959, 538, 707, 1557, 568, 547, 1459, 519, 1344, 607, 519, 2278, 5497, 621, 707, 2079, 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 ]
[ 0, 7021, 519, 2250, 1079, 5756, 267, 9167, 7836, 593, 10304, 3292, 814, 2799, 676, 17542, 540, 20789, 338, 563, 18154, 301, 264, 2443, 634, 1283, 476, 276, 260, 540, 519, 29659, 1004, 538, 519, 3864, 5742, 7118, 3592, 2947, 2053, 607, 1454, 607, 519, 5377, 476, 276, 9077, 855, 922, 7194, 8116, 1336, 602, 1514, 19132, 2443, 1519, 10304, 543, 19210, 2640, 2443, 2569, 4747, 8635, 676, 5176, 476, 2568, 10065, 8890, 8240, 540, 3782, 543, 1126, 2640, 3370, 676, 16402, 560, 520, 593, 11728, 7866, 19320, 1063, 513, 2178, 1514, 3106, 2121, 543, 2539, 4747, 8635, 563, 13436, 547, 519, 1977, 1523, 540, 10304, 267, 16402, 560, 520, 11225, 1514, 4027, 2640, 607, 968, 10520, 325, 619, 267, 538, 6666, 610, 538, 2186, 267, 1500, 547, 14867, 10820, 543, 2043, 540, 519, 11411, 540, 835, 610, 811, 1514, 4220, 610, 2115, 9731, 8794, 13387, 9304, 267, 519, 3328, 1268, 538, 519, 9167, 814, 476, 1704, 267, 9262, 272, 4559, 540, 25551, 4747, 267, 8151, 689, 476, 278, 267, 278, 2190, 538, 27597, 547, 476, 2764, 267, 277, 4037, 538, 24006, 10603, 32490, 269, 24006, 10603, 32490, 849, 16034, 1851, 519, 5207, 538, 519, 9167, 585, 3782, 543, 824, 2640, 563, 1103, 476, 1001, 280, 267, 519, 9167, 6170, 24843, 272, 269, 272, 18265, 18121, 272, 269, 1691, 18265, 264, 593, 1072, 2640, 267, 5176, 476, 279, 260, 540, 12654, 543, 476, 1789, 260, 540, 2698, 1514, 3354, 7836, 269, 2859, 982, 476, 2412, 260, 540, 2640, 4682, 547, 6413, 1416, 267, 1247, 476, 1789, 260, 4682, 547, 30229, 1416, 543, 476, 1691, 260, 547, 6976, 7210, 4734, 563, 4263, 5176, 476, 275, 267, 1822, 20789, 338, 18121, 275, 267, 1911, 264, 829, 1268, 267, 5125, 22939, 519, 1034, 593, 1072, 1416, 829, 1268, 267, 4553, 676, 24006, 10603, 32490, 543, 519, 13814, 269, 2311, 476, 1015, 260, 543, 476, 280, 9077, 5125, 543, 519, 13814, 849, 6108, 519, 5207, 2694, 540, 12654, 593, 1072, 2640, 563, 4263, 519, 5377, 1439, 267, 31697, 267, 4678, 16129, 543, 10255, 6108, 1447, 982, 24843, 272, 267, 1822, 18121, 272, 267, 28276, 264, 829, 1268, 563, 31624, 29333, 267, 27597, 543, 26403, 807, 1867, 519, 4102, 4747, 7934, 1851, 9167, 4759, 2829, 269, 769, 519, 2034, 5207, 7121, 616, 10255, 543, 4678, 16129, 563, 6097, 547, 519, 2817, 2657, 5890, 754, 8132, 32439, 267, 5111, 476, 736, 260, 540, 2475, 1072, 1416, 7836, 18121, 279, 1789, 5479, 267, 610, 24843, 25616, 5479, 264, 568, 4988, 676, 5313, 24310, 543, 476, 1626, 260, 18121, 6858, 272, 5479, 267, 610, 24843, 277, 4649, 5479, 264, 676, 27083, 585, 1004, 609, 1970, 4747, 3885, 563, 8448, 1514, 4324, 7836, 538, 519, 9167, 2882, 3292, 585, 519, 11361, 543, 15000, 267, 9659, 267, 13864, 267, 8027, 543, 1514, 17181, 267, 543, 3885, 543, 1453, 563, 31323, 7836, 593, 1514, 4027, 3292, 8720, 1920, 543, 1126, 2640, 25295, 24843, 25628, 5479, 18121, 26825, 5479, 264, 538, 476, 1001, 280, 267, 827, 476, 273, 269, 274, 260, 540, 519, 3148, 779, 12654, 269, 6736, 8051, 585, 476, 279, 269, 275, 260, 540, 10304, 7836, 267, 1126, 543, 1920, 4027, 9782, 689, 476, 2767, 260, 547, 476, 4375, 260, 538, 519, 1079, 5756, 1310, 476, 1220, 271, 267, 607, 519, 1297, 540, 1453, 538, 519, 9167, 8593, 676, 476, 279, 18336, 3528, 6476, 267, 519, 2475, 22939, 476, 278, 260, 540, 922, 5313, 6578, 18121, 4366, 273, 5479, 610, 24843, 30420, 5479, 264, 593, 1453, 269, 4340, 547, 519, 2817, 13163, 540, 9483, 3194, 267, 519, 2475, 6170, 1269, 1220, 5479, 538, 476, 1001, 277, 593, 3292, 602, 1683, 6351, 547, 1970, 13867, 3885, 609, 1453, 563, 763, 2333, 538, 2640, 538, 519, 9167, 4553, 2799, 3790, 540, 2640, 267, 544, 24471, 2640, 543, 1126, 3249, 563, 10527, 2333, 538, 1126, 3249, 3790, 568, 5310, 711, 9670, 2016, 602, 9167, 7694, 3609, 9244, 8992, 519, 2956, 540, 10097, 1126, 3249, 547, 1450, 3237, 547, 960, 630, 604, 789, 6999, 264, 1247, 9870, 1920, 2223, 519, 1867, 6045, 563, 8794, 513, 11449, 1379, 3044, 602, 3217, 883, 2272, 519, 1114, 3790, 540, 2713, 2066, 4759, 2829, 267, 519, 3328, 9167, 2197, 22939, 476, 274, 267, 279, 4037, 4559, 829, 1126, 269, 24006, 10603, 32490, 6170, 519, 1034, 829, 1126, 267, 476, 1321, 267, 26801, 3044, 11449, 1379, 4559, 267, 543, 21248, 519, 5207, 851, 540, 519, 6578, 585, 1514, 2640, 267, 476, 1428, 9077, 547, 3885, 543, 1453, 563, 1103, 519, 824, 16588, 2276, 267, 519, 1942, 829, 1126, 9832, 689, 476, 278, 267, 8660, 272, 4559, 538, 5125, 547, 476, 4366, 272, 4559, 538, 30259, 563, 305, 21403, 693, 519, 1283, 267, 24006, 10603, 32490, 267, 2059, 609, 5125, 543, 16862, 267, 1142, 6170, 476, 274, 260, 540, 12654, 593, 1920, 1126, 2640, 538, 476, 1001, 280, 269, 2311, 476, 271, 269, 279, 9077, 5689, 3279, 6170, 519, 2547, 593, 1920, 1126, 2640, 267, 4553, 676, 30259, 2073, 476, 272, 9077, 543, 7977, 267, 476, 272, 269, 272, 18336, 5649, 519, 5440, 476, 279, 454, 14294, 909, 585, 5440, 476, 279, 267, 513, 5180, 1575, 540, 519, 1554, 779, 1283, 2984, 9447, 2786, 547, 707, 28600, 11728, 998, 11016, 269, 0, 10932, 593, 1480, 3676, 267, 2523, 538, 2860, 5956, 609, 538, 20117, 2090, 1210, 1591, 3515, 269, 1717, 267, 1591, 3515, 6738, 538, 20117, 666, 2049, 3444, 9762, 8727, 610, 1256, 4413, 268, 1211, 2305, 269, 901, 3340, 513, 1591, 1899, 17452, 630, 290, 6369, 264, 5650, 1210, 513, 7636, 1935, 269, 769, 713, 1184, 267, 2079, 540, 27446, 13065, 689, 1896, 1327, 328, 568, 2877, 547, 2327, 602, 713, 14583, 13292, 519, 4397, 27446, 269, 634, 31031, 1505, 666, 581, 1031, 547, 6461, 6510, 1591, 3515, 267, 1317, 621, 666, 5635, 27446, 12632, 609, 513, 3732, 540, 1634, 3044, 1591, 3515, 267, 543, 849, 2111, 547, 1683, 2241, 267, 20522, 267, 543, 1360, 1808, 4719, 834, 325, 5424, 21646, 257, 593, 1591, 3515, 269, 898, 568, 2556, 547, 6461, 6510, 1591, 3515, 538, 10070, 540, 1591, 3515, 538, 519, 6239, 12524, 585, 25745, 8426, 5525, 693, 519, 962, 2752, 10485, 2160, 3194, 4659, 267, 865, 602, 538, 20117, 543, 538, 24155, 2090, 593, 1884, 4618, 1356, 267, 14434, 267, 10172, 267, 543, 15325, 5473, 1591, 3515, 786, 3132, 4570, 4093, 538, 2104, 1382, 269, 634, 1382, 1505, 729, 8047, 8097, 269, 6089, 2860, 1591, 3515, 14330, 293, 268, 278, 267, 6738, 593, 2208, 2923, 5627, 16796, 543, 21734, 268, 656, 574, 26338, 5328, 269, 2637, 5669, 5027, 729, 9678, 676, 7665, 6202, 10378, 681, 17092, 19940, 10552, 5027, 14173, 269, 19738, 1184, 1210, 6820, 293, 8814, 12814, 19738, 29208, 14173, 630, 7343, 29736, 645, 3930, 2448, 264, 543, 23650, 2079, 729, 9916, 609, 18726, 8890, 10045, 476, 12573, 271, 269, 634, 16861, 2164, 540, 23650, 2079, 593, 1079, 14330, 293, 268, 278, 3515, 23608, 689, 1079, 1114, 4025, 8612, 602, 891, 1591, 3515, 941, 538, 2246, 5782, 545, 269, 25334, 4601, 1813, 547, 3444, 12526, 1282, 2534, 538, 519, 8047, 269, 901, 2306, 519, 1079, 1591, 3515, 8035, 762, 607, 2326, 538, 538, 20117, 2090, 269, 1703, 616, 7687, 547, 713, 1353, 1317, 621, 1152, 9916, 476, 272, 16801, 540, 23658, 30743, 585, 1142, 1591, 1899, 269, 4329, 1382, 568, 2877, 538, 519, 3003, 16801, 540, 2528, 4015, 538, 519, 6239, 12524, 585, 25745, 8426, 5525, 693, 519, 962, 2752, 10485, 2160, 3194, 4659, 563, 290, 4878, 23412, 9736, 476, 1822, 271, 0, 763, 4220, 585, 7296, 13189, 2443, 2523, 519, 2799, 1981, 540, 5761, 2860, 543, 519, 2799, 9019, 2557, 2443, 616, 8499, 4080, 19951, 269, 1717, 267, 930, 14758, 8153, 7296, 4220, 4481, 1860, 2021, 563, 763, 6464, 1336, 538, 13189, 666, 723, 513, 3226, 2942, 1198, 593, 2021, 779, 10285, 1072, 269, 6468, 945, 8673, 949, 1995, 4389, 12680, 267, 8697, 10285, 8219, 267, 543, 949, 723, 7411, 10703, 1516, 269, 1358, 949, 849, 723, 2362, 19697, 2157, 267, 610, 3648, 2539, 2157, 540, 519, 4550, 2173, 1638, 518, 1014, 9449, 630, 4456, 295, 1070, 799, 1223, 5815, 4389, 12680, 269, 25003, 666, 849, 2014, 11213, 543, 12150, 5712, 269, 6468, 949, 849, 1995, 811, 7099, 23638, 543, 723, 811, 9854, 1813, 519, 2539, 2157, 540, 21110, 7296, 666, 2014, 563, 5472, 540, 891, 9449, 15088, 543, 12150, 885, 666, 1256, 2014, 2021, 547, 1995, 22797, 693, 513, 7820, 2085, 267, 610, 723, 7707, 2989, 2367, 641, 30167, 2589, 563, 29587, 8376, 24093, 454, 15987, 2295, 2068, 568, 513, 1981, 585, 4896, 945, 1159, 10280, 267, 2021, 723, 513, 476, 1839, 260, 3152, 1981, 982, 2367, 269, 2859, 1382, 2115, 547, 581, 2944, 607, 547, 1946, 267, 855, 930, 17695, 1125, 602, 2021, 779, 10399, 949, 581, 835, 3815, 563, 18131, 945, 1491, 5711, 15333, 1061, 1161, 849, 949, 1995, 513, 2362, 2295, 2557, 267, 538, 2489, 269, 1809, 952, 513, 4807, 1159, 10280, 1247, 2921, 5711, 15333, 1061, 1161, 267, 1200, 1981, 540, 2295, 2068, 7494, 4679, 269, 8409, 936, 519, 2085, 540, 476, 3374, 616, 1034, 11630, 547, 713, 968, 32024, 18571, 892, 540, 2295, 2068, 1981, 563, 7197, 616, 3222, 602, 7296, 13189, 666, 2014, 5761, 2860, 267, 855, 621, 666, 849, 2333, 513, 4807, 779, 4960, 540, 3478, 6089, 2860, 610, 17818, 2860, 269, 6468, 945, 8673, 849, 723, 513, 2362, 1981, 540, 3478, 5761, 2860, 267, 799, 814, 513, 2362, 9019, 2557, 585, 2021, 982, 585, 2367, 563, 10712, 3183, 666, 849, 2014, 8374, 585, 6089, 2860, 2126, 267, 607, 621, 666, 3441, 519, 9641, 267, 1818, 621, 2352, 547, 12115, 689, 5982, 610, 6089, 16646, 269, 25003, 849, 4679, 519, 1981, 540, 1973, 28163, 689, 17441, 3797, 11955, 269, 769, 2489, 267, 968, 10712, 3183, 267, 2860, 543, 2860, 5574, 2322, 513, 16854, 11411, 593, 519, 1560, 267, 543, 950, 5916, 267, 789, 949, 1118, 621, 811, 2352, 585, 519, 1560, 547, 9156, 689, 2126, 2223, 4966, 693, 519, 9435, 9615, 15544, 540, 3013, 17412, 563, 10712, 3183, 1282, 6379, 666, 2014, 1082, 8374, 585, 1312, 519, 3993, 543, 519, 796, 9799, 4816, 269, 4107, 5906, 569, 267, 7296, 666, 3970, 519, 4816, 779, 3761, 540, 5135, 543, 5567, 543, 723, 2942, 5222, 593, 519, 3993, 779, 10285, 1072, 269, 4033, 6379, 4220, 1331, 912, 268, 570, 22568, 3441, 547, 519, 4816, 779, 5761, 543, 2634, 454, 268, 8899, 4332, 2597, 454, 268, 20031, 1155, 4332, 454, 268, 1773, 8809, 320, 8374, 454, 268, 26579, 2530, 454, 2750, 19397, 606, 796, 9799, 4816, 547, 15522, 666, 849, 1860, 741, 1646, 1312, 1354, 543, 1310, 4332, 269, 589, 1353, 3370, 538, 24768, 1670, 7070, 2982, 621, 949, 581, 4448, 547, 968, 11069, 8529, 12680, 267, 1826, 476, 273, 3987, 267, 8377, 267, 13119, 267, 5778, 2041, 24173, 12889, 267, 543, 7929, 14524, 1848, 25003, 1282, 20418, 666, 849, 723, 513, 2942, 1764, 593, 5144, 2504, 543, 519, 5567, 2139, 538, 707, 5144, 269, 769, 2489, 267, 2021, 945, 16718, 7296, 1354, 610, 1282, 6379, 2539, 741, 1981, 540, 31761, 543, 2333, 741, 1072, 267, 607, 1134, 607, 519, 4816, 779, 1072, 563, 7312, 5761, 1072, 568, 1271, 547, 721, 269, 3776, 2319, 540, 1099, 5505, 616, 6131, 547, 3246, 2407, 28129, 9196, 543, 14222, 3461, 1416, 267, 585, 1022, 540, 707, 9584, 2115, 267, 1519, 5761, 11632, 18767, 269, 5269, 606, 13393, 2221, 676, 9683, 938, 3896, 610, 4758, 721, 513, 1289, 693, 630, 2004, 273, 264, 476, 275, 3066, 268, 20981, 271, 269, 0, 8005, 15469, 540, 2296, 2069, 888, 19365, 28564, 514, 1188, 267, 519, 1287, 17294, 2489, 540, 3127, 267, 3357, 909, 609, 513, 835, 11060, 13170, 540, 713, 8792, 538, 519, 14618, 543, 3893, 519, 2296, 4065, 2920, 476, 8146, 276, 5293, 269, 898, 3357, 883, 1198, 538, 476, 6977, 280, 563, 8005, 568, 519, 4651, 540, 4095, 2069, 1062, 888, 763, 2413, 1153, 1062, 729, 4547, 547, 3127, 267, 1519, 519, 2296, 1893, 267, 8385, 676, 7083, 7338, 9040, 15838, 5839, 4954, 599, 538, 519, 476, 8146, 271, 338, 563, 8005, 568, 519, 4651, 540, 2413, 4095, 2069, 888, 24687, 281, 7083, 5261, 28564, 1157, 630, 9264, 279, 268, 4097, 264, 729, 519, 1034, 12666, 543, 24084, 2989, 17135, 29731, 540, 3127, 267, 945, 729, 1634, 607, 2048, 1492, 12429, 540, 7073, 5375, 4065, 538, 3127, 9957, 1261, 27618, 9045, 328, 929, 24048, 543, 824, 16970, 32537, 538, 476, 9264, 280, 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 ]
[ 2115, 5693, 267, 5807, 3152, 30840, 1996, 25794, 780, 2162, 4317, 8081, 17978, 692, 5353, 22701, 6351, 689, 11967, 2828, 267, 1920, 2818, 267, 610, 2790, 1072, 4648, 13054, 1776, 1898, 5057, 540, 25794, 6604, 269, 8490, 2178, 1514, 4296, 2488, 3255, 585, 3838, 2833, 267, 15418, 267, 543, 19015, 267, 782, 540, 799, 24772, 12003, 2200, 2556, 585, 10188, 21500, 7915, 538, 11509, 3347, 630, 10870, 1156, 1299, 654, 1571, 267, 476, 2735, 276, 1040, 3958, 267, 17874, 609, 4966, 8036, 538, 5466, 4160, 5829, 4145, 3091, 3407, 4030, 543, 5583, 3358, 4481, 547, 1367, 6381, 267, 7393, 16548, 585, 1279, 3856, 1967, 780, 6962, 454, 29603, 31572, 4160, 538, 11509, 3347, 3340, 13447, 539, 4674, 267, 11428, 267, 543, 16177, 269, 1635, 12561, 11009, 2853, 267, 16565, 24399, 1983, 267, 543, 14637, 11215, 5121, 267, 4891, 1796, 1732, 9280, 547, 6023, 10779, 885, 11402, 2059, 741, 3460, 4724, 13455, 8788, 543, 20106, 269, 11086, 267, 10115, 942, 543, 1648, 883, 3384, 891, 8825, 2188, 5849, 513, 17321, 2104, 1863, 689, 519, 10148, 13684, 676, 4160, 12454, 25794, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9824, 725, 4721, 666, 581, 4101, 2614, 1510, 519, 3773, 2566, 543, 8833, 540, 4160, 269, 10251, 267, 4160, 666, 723, 513, 1713, 1764, 593, 707, 11509, 3347, 267, 543, 621, 666, 581, 4101, 547, 6330, 519, 22705, 543, 17498, 602, 2097, 609, 621, 269, 17520, 666, 1711, 2792, 2736, 23957, 267, 3972, 2152, 267, 543, 3929, 3845, 267, 799, 666, 2322, 513, 16854, 8833, 593, 707, 2078, 269, 1717, 267, 621, 568, 2009, 547, 7753, 891, 9620, 1927, 543, 1628, 513, 6793, 2078, 538, 519, 1184, 563, 268, 17520, 666, 11874, 1764, 707, 11509, 3347, 563, 268, 17520, 666, 1711, 2792, 2736, 23957, 267, 3972, 2152, 267, 543, 3929, 3845, 563, 268, 1411, 666, 7753, 4160, 543, 1628, 513, 6793, 2078, 676, 2324, 1927, 563, 8139, 519, 8177, 540, 17520, 593, 17716, 454, 2304, 3806, 666, 723, 513, 7096, 1764, 593, 11509, 3347, 269, 898, 5540, 1312, 4891, 14156, 543, 18374, 267, 3056, 547, 1713, 2591, 602, 1590, 581, 7753, 952, 519, 2078, 568, 547, 7639, 543, 10653, 269, 1133, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 1248, 719, 10644, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 8682, 5336, 534, 1771, 1315, 13262, 5004, 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, 898, 729, 513, 6093, 1554, 538, 519, 1507, 4884, 540, 28927, 578, 326, 17311, 269, 3427, 1185, 1175, 1577, 856, 267, 543, 1453, 941, 4881, 1169, 799, 1259, 910, 11235, 547, 2253, 741, 12784, 2238, 269, 7324, 873, 729, 513, 1762, 7911, 3957, 15207, 945, 6068, 4730, 3381, 3756, 811, 982, 4376, 3116, 269, 1261, 986, 1027, 1753, 267, 29860, 593, 1010, 5127, 267, 543, 10544, 5523, 1010, 1688, 18988, 11080, 23641, 269, 8528, 20755, 3240, 781, 3993, 15336, 883, 1010, 4055, 267, 1200, 3946, 4904, 609, 14770, 625, 689, 519, 2199, 2344, 269, 2701, 8068, 519, 18061, 540, 18660, 8286, 538, 519, 7944, 267, 9660, 16559, 827, 267, 855, 8359, 547, 11716, 621, 585, 1631, 269, 5502, 267, 1352, 4280, 267, 834, 20755, 3240, 267, 4769, 1405, 596, 948, 6004, 269, 9652, 2973, 519, 10754, 607, 851, 540, 707, 2146, 3028, 2221, 12482, 257, 17764, 267, 594, 29709, 2437, 14452, 15207, 1875, 577, 531, 14688, 1247, 1266, 1484, 539, 538, 1010, 3014, 269, 3571, 3993, 521, 19042, 543, 4956, 547, 2232, 519, 3190, 2663, 269, 1306, 1352, 2451, 519, 4055, 267, 1352, 18056, 9887, 547, 723, 513, 2911, 609, 15207, 827, 5539, 780, 19602, 267, 11427, 269, 8055, 1985, 7450, 17388, 547, 1930, 1200, 1007, 3640, 540, 25551, 986, 345, 832, 269, 674, 745, 1598, 730, 267, 1352, 19184, 539, 519, 1835, 636, 9482, 5068, 12109, 3899, 5196, 519, 6989, 269, 4173, 8049, 3032, 267, 1733, 7416, 619, 267, 10627, 1540, 693, 621, 1354, 533, 23395, 543, 27054, 3429, 519, 1166, 574, 1910, 1570, 2417, 269, 13536, 602, 10543, 267, 950, 11427, 269, 8055, 4362, 519, 14324, 12109, 3899, 1851, 824, 17885, 267, 1352, 7691, 875, 1416, 8393, 1352, 1185, 5701, 519, 11183, 780, 10907, 1484, 4884, 267, 6004, 269, 16399, 19801, 538, 606, 2228, 2780, 5752, 1362, 5103, 2348, 1100, 1991, 1995, 269, 2060, 17570, 344, 27374, 543, 17040, 2295, 267, 646, 4945, 539, 1412, 9359, 6092, 9538, 3683, 342, 3559, 4364, 676, 2930, 3822, 543, 1950, 2035, 267, 6004, 269, 16399, 27497, 1540, 1010, 4522, 538, 17140, 269, 1635, 519, 1439, 540, 519, 1101, 9074, 267, 646, 22821, 1405, 4121, 1454, 543, 12247, 539, 2760, 547, 3801, 971, 18174, 880, 1145, 1586, 269, 1717, 267, 2620, 1524, 267, 646, 6785, 29655, 7012, 1405, 519, 2626, 780, 12988, 693, 519, 17365, 4558, 267, 2025, 11427, 269, 23514, 9469, 5402, 13603, 1142, 6221, 1282, 1200, 12353, 10918, 7552, 269, 2311, 2638, 719, 267, 1352, 4718, 14350, 20386, 12277, 28426, 10268, 2282, 519, 6666, 1512, 269, 22628, 607, 1352, 1152, 2877, 1079, 267, 1352, 20402, 519, 804, 17064, 267, 834, 3963, 616, 891, 12277, 4421, 14384, 3079, 540, 1373, 15985, 1194, 1927, 899, 8912, 12482, 763, 804, 17064, 695, 745, 13949, 267, 834, 8253, 2386, 267, 12103, 262, 600, 269, 9320, 585, 13418, 12482, 300, 3464, 269, 23514, 9469, 20493, 1135, 7019, 267, 6976, 585, 1200, 3688, 267, 1287, 5116, 519, 3063, 15837, 538, 519, 21856, 4216, 3544, 519, 4558, 269, 2201, 1200, 1259, 1753, 267, 1352, 14719, 730, 5986, 1945, 2027, 585, 12129, 1210, 519, 6967, 5820, 780, 9961, 519, 1554, 267, 1585, 7264, 540, 28927, 578, 326, 17311, 5185, 1114, 3871, 1107, 930, 17411, 873, 19100, 267, 1866, 19500, 1510, 3206, 269, 17859, 267, 1272, 4682, 593, 267, 5356, 11995, 3255, 585, 2208, 543, 1565, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 18658, 1281, 513, 1126, 1616, 547, 798, 1310, 1153, 888, 302, 6877, 912, 268, 5951, 1434, 25742, 454, 268, 1404, 3381, 3756, 454, 268, 2307, 1082, 2055, 454, 268, 2973, 8265, 454, 268, 1831, 2937, 454, 5522, 11691, 3381, 3756, 568, 606, 2534, 269, 5753, 899, 547, 1404, 3381, 3756, 269, 29892, 3381, 3756, 2115, 513, 3926, 563, 2452, 3381, 3756, 692, 288, 25551, 986, 345, 528, 568, 19038, 569, 3957, 267, 621, 7475, 909, 1141, 888, 302, 6877, 912, 268, 2706, 21466, 454, 268, 15678, 4055, 454, 268, 20203, 454, 268, 5008, 564, 454, 268, 4915, 22277, 454, 294, 541, 12237, 568, 513, 6299, 321, 880, 610, 3653, 267, 2523, 6469, 20549, 269, 589, 25551, 986, 345, 528, 568, 19038, 569, 3957, 282, 621, 7475, 909, 538, 20203, 563, 3258, 12237, 692, 763, 2780, 3593, 1705, 711, 917, 1018, 646, 729, 3257, 693, 782, 267, 713, 1500, 519, 14292, 1576, 6986, 1018, 585, 1864, 888, 302, 6877, 912, 268, 1648, 454, 268, 5604, 2679, 454, 268, 22946, 454, 268, 1153, 454, 268, 2777, 454, 763, 14292, 1576, 729, 6986, 22946, 585, 1864, 1317, 646, 5433, 3765, 30514, 543, 8731, 7757, 8572, 547, 1246, 5528, 538, 519, 1576, 563, 17850, 692, 4263, 513, 17365, 4558, 789, 6133, 1367, 12277, 267, 1141, 1281, 519, 17365, 804, 17064, 2693, 2322, 519, 15837, 888, 302, 6877, 912, 268, 14495, 1216, 454, 268, 3597, 1591, 541, 454, 268, 15177, 6928, 454, 268, 1957, 9126, 454, 268, 896, 23950, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 7170, 281, 9861, 513, 15858, 26064, 281, 1323, 4985, 547, 15858, 5004, 692, 8893, 20638, 281, 1635, 519, 1439, 540, 713, 3992, 267, 596, 786, 1174, 1018, 4928, 2359, 1797, 543, 1451, 930, 2994, 547, 1831, 2500, 3401, 538, 707, 1378, 13460, 780, 7072, 281, 5994, 10024, 513, 4055, 2407, 540, 669, 30568, 1004, 945, 1810, 1405, 3100, 547, 5469, 602, 596, 723, 8452, 269, 1411, 1616, 873, 547, 2628, 3007, 547, 1018, 596, 723, 547, 2161, 267, 855, 789, 3136, 6158, 10838, 2933, 269, 1215, 1131, 596, 1205, 741, 1445, 286, 901, 3510, 1522, 3280, 5432, 952, 596, 1589, 827, 1373, 513, 4116, 609, 513, 1895, 540, 9599, 1053, 950, 621, 781, 942, 547, 1376, 513, 1007, 3992, 256, 4804, 875, 547, 4383, 707, 4928, 3927, 666, 948, 2327, 602, 3025, 13978, 2922, 267, 7722, 267, 543, 4712, 547, 1451, 269, 1924, 1577, 781, 4685, 883, 1620, 4928, 2359, 2439, 4089, 476, 272, 281, 1548, 568, 15858, 5004, 888, 12218, 3336, 2359, 4016, 547, 12180, 543, 4509, 513, 2318, 3450, 543, 1565, 1604, 1141, 1053, 8362, 4497, 538, 6209, 2238, 1247, 11744, 3617, 2623, 269, 898, 3322, 4259, 2312, 6788, 267, 9591, 13467, 267, 2679, 3347, 267, 5883, 2875, 2623, 267, 543, 1818, 14292, 3664, 1759, 593, 1239, 543, 8343, 269, 13229, 4928, 9946, 917, 875, 547, 3666, 891, 2609, 16900, 2429, 741, 1554, 780, 4089, 476, 273, 281, 17553, 13068, 21673, 725, 454, 2414, 1711, 513, 18900, 4928, 5790, 267, 2253, 676, 24152, 1808, 3652, 543, 5773, 585, 3232, 4247, 971, 607, 16298, 909, 693, 12424, 267, 7432, 538, 6780, 267, 610, 10283, 538, 5717, 269, 5269, 2386, 707, 4808, 616, 2653, 547, 3314, 543, 1246, 269, 5457, 267, 2348, 7864, 3652, 602, 3382, 1585, 3871, 949, 6961, 811, 5363, 982, 17609, 1082, 1367, 3283, 269, 4495, 3964, 267, 5968, 707, 6788, 5693, 543, 9846, 865, 602, 1169, 2875, 17358, 1018, 568, 2838, 540, 873, 780, 7078, 281, 2913, 781, 4952, 596, 1305, 1614, 2241, 3652, 585, 707, 4928, 281, 2142, 21727, 995, 267, 2142, 15822, 267, 543, 2142, 27973, 547, 6258, 269, 1452, 936, 31186, 3741, 1223, 4019, 547, 2789, 7653, 543, 4196, 607, 23106, 585, 1053, 1282, 1114, 2053, 540, 519, 1554, 780, 4089, 476, 274, 281, 26787, 13705, 1149, 454, 17730, 22150, 3270, 2337, 1053, 1745, 5150, 6616, 1018, 2501, 1985, 269, 3763, 6640, 7127, 12738, 267, 5912, 6786, 1063, 4245, 267, 11280, 2127, 585, 2326, 4859, 267, 543, 5812, 4539, 585, 3765, 2041, 8326, 269, 3683, 942, 267, 891, 13467, 1831, 6208, 267, 4227, 21463, 543, 3850, 811, 942, 585, 1565, 780, 7078, 281, 589, 5912, 5365, 899, 30366, 513, 11350, 610, 4730, 2571, 2575, 13071, 1053, 917, 621, 781, 942, 547, 1847, 593, 547, 1776, 2534, 12347, 269, 1358, 3513, 4166, 5431, 519, 29692, 543, 7017, 1524, 3533, 780, 4089, 476, 275, 281, 8490, 17716, 454, 21093, 547, 917, 1142, 2875, 13948, 8309, 3648, 547, 2870, 513, 3636, 267, 22205, 4928, 2916, 269, 8058, 9758, 1719, 538, 741, 12348, 267, 3885, 267, 4529, 267, 543, 2123, 2984, 269, 11559, 1930, 2792, 9055, 543, 2709, 1489, 8164, 2877, 269, 1879, 1053, 3972, 543, 1871, 741, 2078, 609, 596, 267, 789, 2811, 811, 2693, 547, 28111, 543, 3565, 9797, 1369, 519, 4928, 4259, 780, 7078, 281, 2311, 519, 4098, 540, 519, 1032, 267, 4142, 6510, 930, 942, 547, 5967, 532, 707, 1053, 835, 6823, 14633, 269, 9105, 2055, 827, 741, 5172, 5026, 267, 2835, 267, 610, 1256, 741, 15964, 9035, 269, 19457, 1945, 827, 3054, 1932, 666, 948, 2736, 519, 4672, 2439, 6962, 281, 19737, 513, 4928, 3340, 5578, 267, 9639, 267, 543, 2259, 269, 1306, 2104, 7855, 267, 3384, 2178, 13654, 1983, 1631, 5036, 596, 909, 585, 1967, 2663, 269, 22737, 519, 1909, 540, 513, 6205, 267, 2226, 1164, 6788, 267, 3715, 4296, 267, 543, 2972, 8384, 707, 1053, 8853, 896, 707, 5583, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6124, 16763, 769, 4157, 339, 26623, 11819, 6103, 281, 476, 272, 268, 273, 769, 715, 684, 822, 583, 454, 347, 1103, 4157, 339, 26623, 11819, 6103 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7617, 7276, 681, 27968, 3683, 634, 700, 17999, 20587, 720, 2986, 3047, 779, 15510, 888, 12585, 281, 634, 589, 15939, 18779, 573, 7276, 454, 763, 589, 15939, 18779, 573, 7276, 267, 811, 4122, 1572, 634, 3689, 14655, 7276, 267, 729, 8547, 676, 7261, 6350, 519, 4279, 543, 568, 8037, 585, 1896, 10781, 538, 2038, 10504, 2679, 269, 8729, 547, 6297, 5583, 543, 9819, 676, 595, 787, 639, 267, 519, 10504, 1185, 513, 3810, 21438, 543, 3608, 29904, 6483, 269, 4329, 267, 519, 10504, 9450, 6385, 543, 11593, 12842, 4478, 9082, 563, 1607, 3608, 22257, 23388, 5916, 609, 513, 1164, 2557, 540, 2551, 2208, 23185, 676, 7269, 543, 10338, 26857, 519, 4102, 2168, 10504, 538, 519, 3504, 1158, 630, 523, 7609, 532, 1472, 5216, 2929, 4009, 12919, 2066, 1614, 17407, 1070, 855, 849, 513, 11984, 602, 3788, 796, 337, 2526, 539, 281, 519, 2600, 540, 3047, 779, 2551, 896, 589, 15939, 18779, 573, 4341, 563, 763, 2551, 540, 519, 10504, 538, 9625, 21878, 14514, 729, 6059, 693, 476, 2004, 2929, 1004, 543, 267, 1759, 593, 2518, 2551, 9193, 585, 602, 3140, 1974, 267, 602, 1797, 519, 589, 15939, 18779, 573, 7276, 1131, 723, 7854, 539, 476, 4510, 2600, 540, 519, 2518, 2551, 281, 519, 4102, 6871, 540, 1022, 10504, 1991, 610, 2094, 563, 293, 1074, 5336, 7776, 3502, 566, 1772, 13242, 1677, 14674, 1548, 888, 763, 4985, 2986, 1548, 20211, 1228, 10794, 6970, 4310, 513, 7136, 633, 3213, 514, 10374, 720, 888, 1432, 15019, 476, 2735, 271, 338, 8950, 10794, 2349, 520, 14688, 681, 5792, 5510, 8111, 631, 9222, 645, 4592, 888, 2691, 717, 792, 1772, 17214, 10815, 13229, 769, 11473, 10632, 267, 31133, 619, 17166, 898, 13201, 2142, 523, 888, 7617, 2233, 19712, 8191, 13201, 16874, 634, 4107, 4515, 3386, 17912, 11154, 725, 888, 312, 534, 27365, 667, 22259, 853, 3089, 589, 3171, 1430, 769, 3571, 24051, 1656, 595, 6817, 898, 968, 21547, 16336, 328, 892, 1677, 28582, 1677, 1548, 888, 308, 2529, 269, 30814, 4825, 805, 267, 8805, 6424, 267, 1772, 715, 3139, 2991, 888, 7617, 11473, 10794, 12984, 12414, 539, 20553, 589, 28414, 1656, 3973, 7982, 20553, 589, 11473, 10794, 286, 0, 276, 2010, 540, 5665, 1949, 602, 596, 1810, 1405, 917, 2336, 276, 2010, 540, 5665, 1949, 602, 596, 1810, 1405, 917, 2336, 15916, 2828, 267, 10950, 547, 519, 590, 6579, 19154, 8104, 269, 3371, 649, 2141, 2285, 1344, 827, 5769, 543, 5303, 269, 1924, 538, 713, 2022, 267, 649, 786, 1451, 827, 519, 2010, 540, 5665, 1949, 563, 293, 12188, 267, 607, 2484, 607, 594, 1589, 1034, 540, 596, 917, 827, 519, 5665, 1062, 952, 596, 798, 711, 917, 1287, 798, 711, 5855, 267, 649, 2995, 596, 538, 2241, 1913, 602, 519, 21952, 1062, 4016, 547, 519, 4015, 540, 3301, 269, 6904, 21314, 519, 8800, 2200, 540, 519, 2780, 543, 2488, 1804, 8397, 2533, 547, 519, 3593, 269, 7756, 2010, 540, 2780, 5665, 1949, 3277, 547, 10070, 540, 1114, 3301, 269, 3962, 8950, 814, 606, 21952, 3590, 547, 2196, 824, 3292, 563, 12179, 5665, 1062, 15824, 930, 2596, 3252, 971, 607, 7114, 3403, 1239, 689, 519, 13691, 267, 5329, 6119, 543, 12210, 1463, 1559, 267, 543, 11488, 3977, 547, 519, 18224, 24897, 267, 9013, 3457, 971, 607, 23252, 269, 1323, 5665, 1062, 666, 849, 1685, 513, 2582, 4305, 610, 513, 1062, 5665, 1689, 563, 3383, 267, 2828, 267, 621, 729, 513, 1455, 3364, 602, 1018, 568, 519, 5665, 1062, 286, 14886, 267, 594, 1616, 547, 2285, 596, 538, 3829, 1702, 827, 519, 1826, 540, 5665, 1062, 269, 1924, 1577, 781, 1376, 1510, 1022, 8488, 543, 917, 875, 1082, 2010, 540, 5665, 1949, 616, 972, 888, 15650, 540, 519, 5665, 1062, 10778, 293, 12188, 2780, 5665, 1062, 666, 581, 9286, 883, 476, 276, 1292, 2010, 563, 272, 269, 16453, 21952, 3590, 563, 273, 269, 7464, 6874, 830, 21952, 3590, 563, 274, 269, 645, 2255, 5665, 1062, 563, 275, 269, 5384, 6879, 2130, 5665, 1949, 563, 276, 269, 20518, 3176, 5665, 3590, 563, 272, 269, 16453, 21952, 3590, 912, 31863, 21952, 3590, 568, 9286, 883, 1079, 2694, 8894, 1892, 20877, 673, 14871, 28497, 21952, 3590, 630, 294, 21397, 1916, 1892, 23322, 14871, 28497, 21952, 3590, 630, 290, 21397, 1916, 1892, 20877, 673, 14871, 28497, 21952, 3590, 630, 294, 21397, 2187, 763, 21370, 7154, 17103, 5665, 1062, 568, 513, 12380, 10856, 2861, 5665, 1062, 269, 769, 799, 519, 3593, 29377, 519, 4305, 1510, 17511, 519, 4971, 689, 519, 13691, 563, 293, 3796, 666, 581, 8118, 610, 6806, 676, 14467, 609, 513, 10856, 269, 769, 1840, 267, 519, 10856, 543, 13691, 616, 1031, 547, 1852, 519, 717, 21397, 5665, 1062, 585, 1082, 5301, 269, 4107, 3785, 616, 2919, 593, 713, 5665, 1062, 269, 634, 4359, 717, 21397, 2324, 5943, 568, 14887, 982, 519, 1455, 1899, 5665, 1062, 2324, 5943, 563, 1892, 23322, 14871, 28497, 21952, 3590, 630, 290, 21397, 2187, 763, 595, 21397, 568, 606, 5665, 1062, 1759, 593, 1257, 269, 6904, 568, 1031, 547, 2170, 609, 3301, 610, 6119, 676, 17511, 12981, 547, 1685, 1808, 4247, 563, 763, 4971, 11060, 13013, 3096, 1152, 519, 13691, 547, 2285, 12981, 269, 16710, 11060, 5665, 1949, 1331, 667, 5308, 543, 6167, 21197, 269, 634, 4971, 11060, 5665, 1062, 568, 519, 3728, 5665, 1062, 3487, 563, 273, 269, 7464, 6874, 830, 21952, 3590, 630, 20670, 5308, 264, 10778, 18600, 6874, 830, 21952, 3590, 568, 849, 1634, 607, 513, 1617, 527, 27965, 5665, 1062, 269, 16453, 5665, 1949, 616, 3743, 585, 5883, 519, 8800, 2200, 540, 513, 2780, 269, 21512, 5308, 15824, 891, 3252, 269, 1809, 621, 568, 4481, 2966, 547, 2196, 4393, 693, 6378, 610, 5730, 2053, 609, 1164, 10727, 563, 763, 7464, 6874, 830, 21952, 3590, 568, 2966, 585, 7464, 6874, 830, 3156, 269, 6270, 607, 3621, 1382, 3937, 267, 4853, 11608, 267, 11251, 1949, 267, 543, 972, 616, 1114, 2010, 540, 21952, 7010, 538, 7464, 6874, 830, 269, 6270, 607, 2182, 7464, 6066, 5665, 1949, 543, 2571, 1483, 6066, 5665, 1949, 563, 1892, 26773, 7464, 6066, 21952, 3590, 912, 763, 10434, 7464, 6066, 3590, 568, 513, 17033, 1483, 6066, 1062, 269, 1280, 513, 10434, 7464, 6066, 1062, 267, 621, 568, 1360, 1271, 547, 2347, 4247, 1369, 519, 942, 3970, 585, 3608, 1062, 2773, 269, 1280, 1383, 267, 585, 513, 2016, 3403, 267, 952, 513, 3593, 26770, 3977, 1310, 476, 1015, 7643, 267, 519, 21952, 3590, 1058, 1184, 519, 3403, 1239, 543, 2132, 519, 3977, 1310, 476, 1015, 7643, 269, 634, 942, 3970, 1934, 568, 476, 1015, 7643, 543, 8754, 519, 1062, 1058, 711, 2285, 3977, 1310, 519, 476, 1556, 628, 2034, 610, 476, 280, 628, 2034, 269, 1924, 267, 10434, 7464, 6066, 3590, 1949, 616, 1031, 563, 1892, 25413, 1483, 6066, 21952, 1949, 912, 2690, 2571, 1483, 6066, 5665, 1949, 267, 621, 568, 711, 16601, 547, 2743, 21852, 585, 1169, 4305, 269, 4475, 267, 513, 2571, 1483, 6066, 5665, 1062, 949, 3314, 513, 942, 7406, 540, 835, 610, 1079, 7643, 269, 1717, 267, 952, 519, 1062, 1121, 20047, 519, 942, 3970, 1142, 942, 269, 3973, 621, 786, 31358, 1062, 2773, 269, 23675, 8301, 543, 3381, 616, 1806, 540, 2571, 1483, 6066, 5665, 1949, 563, 274, 269, 645, 2255, 21952, 3590, 10778, 289, 2255, 13013, 3755, 798, 711, 2047, 12840, 609, 519, 2780, 269, 3962, 3593, 22316, 1239, 899, 513, 24362, 3556, 593, 606, 1055, 11060, 3926, 543, 3946, 621, 936, 547, 513, 2780, 11346, 269, 5358, 11302, 4734, 741, 3292, 2059, 609, 519, 11346, 543, 1287, 4990, 519, 1982, 609, 519, 1482, 4170, 538, 645, 2255, 563, 275, 269, 5384, 6879, 2130, 21952, 1949, 10778, 11742, 6879, 2130, 568, 513, 2029, 602, 6087, 2789, 1004, 547, 581, 4092, 693, 1114, 23525, 267, 547, 946, 513, 1880, 2780, 1062, 693, 519, 1482, 942, 269, 5384, 6879, 2130, 610, 1617, 527, 27965, 568, 519, 9266, 10137, 540, 6687, 5766, 1090, 2719, 269, 6713, 942, 602, 568, 3838, 1063, 2789, 3755, 8195, 568, 1572, 942, 6879, 2130, 563, 763, 1292, 3017, 1063, 519, 3818, 3491, 13559, 4364, 16801, 1062, 543, 519, 942, 6879, 2130, 1062, 568, 602, 538, 519, 2013, 540, 519, 3818, 3491, 13559, 4364, 16801, 1062, 267, 519, 6662, 568, 547, 11694, 16267, 6165, 269, 24641, 538, 519, 942, 6879, 2130, 1062, 267, 519, 6662, 568, 547, 2569, 519, 3210, 942, 563, 763, 5665, 1062, 3096, 17765, 20319, 543, 6687, 5766, 1090, 2719, 547, 1683, 513, 1507, 6824, 540, 519, 942, 547, 1142, 3593, 269, 8950, 1949, 602, 941, 5097, 2966, 607, 519, 645, 2255, 3590, 723, 1044, 9168, 883, 942, 6879, 2130, 5665, 1949, 563, 276, 269, 20518, 3176, 21952, 3590, 10778, 18850, 30744, 5665, 1949, 946, 2789, 1483, 6066, 3156, 543, 2789, 3844, 21932, 547, 4196, 2789, 3755, 269, 6713, 832, 5968, 609, 1142, 824, 998, 1585, 2792, 3515, 971, 607, 15146, 3515, 269, 1452, 616, 1572, 29101, 13745, 1949, 610, 7856, 1949, 563, 3682, 25600, 538, 513, 7856, 1062, 949, 4268, 538, 2450, 543, 1599, 269, 1452, 21932, 616, 5219, 547, 607, 4609, 267, 9136, 267, 5904, 267, 3092, 563, 3383, 267, 2828, 267, 594, 4126, 602, 596, 723, 4121, 827, 519, 1826, 540, 5665, 1062, 269, 3767, 649, 2911, 827, 519, 2324, 540, 519, 5665, 1062, 267, 865, 1577, 721, 917, 1018, 568, 519, 960, 540, 519, 5665, 1062, 888, 763, 1599, 540, 606, 21952, 1062, 912, 288, 8950, 21952, 3590, 15824, 519, 1739, 3252, 8894, 1892, 307, 2532, 610, 1184, 2359, 563, 1892, 298, 14533, 610, 20319, 563, 1892, 28319, 823, 610, 3403, 270, 16059, 2359, 563, 1892, 307, 2532, 610, 6713, 5004, 912, 31088, 5004, 568, 606, 1383, 540, 513, 1982, 602, 568, 1373, 13401, 269, 901, 1184, 2882, 1082, 2609, 269, 6270, 607, 1541, 13294, 267, 1982, 27669, 267, 3965, 24072, 543, 4704, 1239, 267, 543, 13974, 6713, 568, 2965, 519, 11056, 540, 1346, 13668, 563, 2467, 616, 1079, 2010, 540, 1184, 2409, 538, 6713, 5004, 269, 17266, 1184, 543, 1617, 527, 27965, 1505, 269, 634, 2582, 1184, 1505, 12211, 547, 513, 2582, 1184, 4881, 693, 513, 942, 269, 634, 1617, 527, 27965, 1505, 2636, 2789, 3157, 693, 2899, 563, 1892, 298, 14533, 610, 20319, 912, 306, 3481, 30389, 568, 519, 1184, 540, 20319, 543, 26724, 6835, 2366, 547, 513, 16267, 676, 606, 21952, 3590, 269, 634, 21952, 3590, 15824, 513, 6024, 2179, 540, 960, 585, 519, 16267, 543, 3976, 21356, 519, 24913, 269, 634, 20319, 1184, 538, 1142, 568, 6192, 1369, 513, 9138, 942, 7406, 563, 300, 25514, 2359, 568, 519, 1184, 540, 5883, 2780, 3965, 269, 1703, 616, 1079, 2010, 540, 2780, 3965, 269, 3119, 1299, 6281, 3965, 269, 2991, 16089, 519, 3965, 6712, 267, 519, 3965, 851, 585, 519, 1982, 543, 3301, 568, 21248, 563, 300, 25514, 2359, 568, 1271, 585, 519, 5665, 1062, 3238, 538, 519, 1617, 527, 27965, 1505, 269, 769, 799, 519, 13013, 2115, 547, 6467, 3965, 2230, 689, 835, 1184, 547, 1776, 269, 634, 17765, 814, 1079, 2010, 540, 3965, 13838, 910, 5691, 3965, 543, 2168, 3965, 269, 5691, 3965, 568, 513, 20433, 3965, 543, 2168, 3965, 568, 513, 2182, 12210, 3965, 563, 1892, 28319, 823, 610, 18452, 270, 16059, 5004, 912, 1103, 2780, 6189, 267, 519, 4999, 540, 17765, 543, 19554, 568, 519, 2634, 540, 513, 2780, 543, 568, 7307, 676, 3403, 543, 3977, 2200, 269, 2494, 25998, 609, 6191, 998, 476, 272, 270, 271, 7089, 563, 11514, 2452, 267, 13691, 267, 17002, 267, 543, 10856, 616, 476, 272, 270, 271, 3457, 269, 634, 2359, 540, 782, 891, 3457, 5540, 519, 998, 1584, 540, 513, 1062, 269, 4475, 267, 519, 3403, 543, 3977, 2359, 540, 519, 1062, 568, 519, 5539, 540, 519, 21952, 3590, 563, 1805, 4392, 2359, 568, 513, 1599, 540, 519, 5665, 1062, 602, 20362, 519, 3965, 14305, 540, 1239, 269, 1703, 616, 1114, 2010, 540, 3965, 3457, 538, 519, 1062, 269, 6270, 607, 20433, 267, 10434, 5937, 7416, 267, 543, 595, 5995, 19554, 15350, 269, 27491, 543, 1239, 616, 6854, 538, 20433, 1299, 21461, 3965, 269, 6904, 568, 5219, 547, 676, 519, 26121, 5358, 269, 1717, 267, 4578, 568, 4503, 950, 1379, 568, 2759, 865, 519, 2182, 12210, 568, 513, 32719, 550, 4859, 3926, 267, 769, 799, 4578, 4991, 10710, 8850, 563, 23330, 908, 7010, 15339, 10778, 23330, 908, 7010, 1852, 519, 8800, 2200, 540, 519, 2780, 269, 918, 14533, 543, 26425, 616, 2694, 540, 519, 5665, 1062, 267, 1346, 945, 2932, 519, 2556, 4238, 269, 1879, 513, 3593, 3947, 513, 4971, 547, 1685, 1022, 5106, 1287, 519, 7662, 4422, 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 ]
[ 268, 4886, 540, 1007, 4066, 267, 2409, 267, 2326, 267, 610, 3096, 282, 543, 454, 268, 16949, 540, 1702, 3056, 547, 1007, 1620, 563, 2750, 3250, 775, 538, 3450, 267, 1382, 267, 543, 22362, 630, 719, 18943, 264, 568, 6913, 676, 8149, 12200, 269, 11773, 3322, 3860, 267, 9263, 268, 20777, 730, 6602, 543, 519, 2500, 2792, 267, 1646, 267, 543, 5610, 540, 1007, 1702, 883, 4143, 3156, 269, 1284, 5431, 602, 12200, 2238, 910, 602, 616, 711, 14172, 538, 2933, 910, 666, 4125, 3860, 267, 28078, 267, 9263, 268, 20777, 730, 7214, 960, 630, 338, 3273, 1513, 1222, 264, 538, 1022, 540, 922, 1896, 3029, 630, 4134, 11734, 267, 1646, 267, 5610, 267, 543, 26274, 1040, 1284, 849, 1489, 519, 1523, 602, 9263, 15418, 543, 2792, 666, 2049, 538, 1082, 2081, 1519, 267, 855, 711, 3908, 547, 267, 9263, 18022, 699, 539, 12326, 563, 16248, 1898, 3688, 616, 2877, 547, 3927, 6218, 513, 12200, 4759, 912, 268, 1323, 4879, 540, 741, 2773, 540, 8655, 11645, 3248, 268, 1323, 4879, 540, 741, 14046, 9740, 282, 543, 454, 268, 1323, 6268, 540, 741, 3028, 2238, 563, 2171, 849, 11760, 602, 930, 12200, 7158, 616, 13991, 5097, 547, 10647, 9015, 15129, 1382, 609, 513, 1906, 3606, 8655, 9021, 267, 543, 602, 824, 12200, 7158, 723, 3573, 8655, 11645, 630, 514, 2127, 971, 607, 3450, 267, 1443, 2358, 267, 10137, 267, 610, 7245, 1070, 609, 7864, 3255, 585, 14046, 3977, 269, 1717, 267, 930, 14046, 2534, 568, 4397, 540, 782, 26022, 13652, 1188, 12200, 7488, 540, 8655, 11645, 269, 634, 1739, 3349, 20186, 14046, 2238, 585, 1142, 540, 519, 1614, 13485, 540, 513, 8092, 8566, 7949, 2160, 269, 630, 3849, 2194, 539, 689, 1284, 16014, 476, 1960, 277, 2187, 347, 26903, 540, 519, 18623, 1222, 1475, 14946, 338, 543, 31825, 1007, 1620, 543, 4030, 282, 10953, 543, 1201, 1149, 1007, 3450, 1543, 543, 2409, 282, 11942, 15400, 1565, 2623, 13954, 17653, 919, 543, 31825, 1007, 1702, 543, 1620, 282, 10953, 543, 1201, 1149, 2409, 13954, 17653, 919, 543, 31825, 1007, 1702, 543, 1620, 282, 2337, 6267, 1020, 1007, 1983, 282, 20674, 6267, 609, 4657, 1699, 2853, 282, 1568, 609, 6267, 547, 948, 873, 1020, 1007, 17050, 8198, 19064, 3234, 776, 9458, 585, 14172, 1475, 7075, 2996, 282, 7855, 282, 9905, 282, 519, 1857, 13954, 8248, 619, 282, 824, 3744, 267, 18793, 540, 1382, 282, 519, 1857, 13954, 15761, 3290, 8069, 267, 6267, 267, 824, 10137, 7855, 282, 9905, 282, 519, 1857, 8198, 19064, 3234, 776, 1797, 540, 14379, 14172, 1475, 22826, 2326, 543, 2409, 282, 21195, 282, 1357, 4609, 282, 12326, 543, 14245, 547, 19829, 9905, 543, 519, 1857, 13954, 8248, 518, 24595, 12326, 543, 14245, 282, 24977, 282, 1857, 5359, 543, 14245, 13954, 8248, 518, 24595, 21195, 267, 10137, 12326, 282, 1357, 4609, 543, 1357, 2861, 12326, 282, 1974, 25025, 543, 5359, 282, 9263, 24595, 14245, 543, 12326, 8198, 19064, 3234, 776, 7355, 585, 4570, 908, 14172, 1475, 27670, 1275, 543, 4644, 540, 1007, 7418, 547, 1565, 282, 3178, 267, 8653, 543, 28252, 540, 1018, 568, 4121, 282, 15400, 2640, 547, 6267, 543, 10073, 676, 9905, 13954, 27670, 1275, 267, 9165, 267, 543, 4644, 540, 1007, 1702, 282, 31675, 543, 2640, 547, 2486, 13954, 25842, 282, 4560, 267, 1871, 267, 543, 18094, 540, 946, 282, 1140, 15994, 543, 2359, 2259, 2242, 540, 6267, 8198, 347, 1692, 14172, 568, 13006, 1475, 22826, 14769, 281, 24096, 540, 3119, 1007, 7418, 267, 5222, 593, 1053, 543, 1565, 282, 10343, 543, 10073, 676, 9905, 282, 2963, 540, 5718, 543, 2319, 7418, 13954, 11764, 332, 2456, 540, 3119, 7418, 267, 4644, 543, 1764, 538, 14027, 1702, 267, 1007, 2409, 267, 1857, 2640, 282, 2792, 543, 15418, 676, 9905, 282, 2963, 540, 5718, 543, 2319, 7418, 13954, 11764, 332, 2456, 540, 3119, 7418, 267, 2792, 547, 8069, 543, 6267, 267, 4644, 543, 9165, 540, 946, 543, 2640, 282, 5010, 543, 1514, 1871, 282, 10343, 543, 10073, 540, 10137, 1982, 282, 2963, 540, 5718, 543, 2319, 7418, 8198, 268, 4635, 713, 4214, 3947, 782, 1614, 5692, 2127, 1454, 32571, 8112, 538, 6104, 5109, 14046, 960, 563, 268, 5680, 4609, 616, 676, 741, 2470, 15597, 22412, 730, 269, 20513, 530, 5109, 547, 4309, 5491, 585, 741, 1357, 3135, 607, 513, 14046, 2534, 1058, 960, 609, 741, 1770, 6205, 547, 723, 741, 3135, 9263, 12649, 269, 19590, 616, 9415, 547, 960, 609, 5441, 7245, 547, 9585, 713, 563, 268, 898, 3112, 581, 14129, 2614, 602, 4879, 540, 12200, 568, 606, 5571, 1788, 602, 786, 3136, 547, 11457, 936, 942, 269, 1280, 1383, 267, 4063, 602, 513, 3450, 14769, 1523, 568, 5189, 538, 519, 3349, 1657, 269, 901, 666, 581, 513, 3532, 1907, 538, 12180, 543, 9306, 519, 3450, 17284, 540, 513, 12200, 4759, 269, 1703, 616, 1713, 3646, 25093, 693, 9098, 15306, 272, 1547, 18628, 267, 20037, 267, 18518, 2160, 267, 543, 519, 2160, 540, 12309, 616, 24574, 1359, 593, 519, 590, 752, 2967, 273, 552, 268, 1636, 12859, 1788, 269, 9752, 552, 268, 1636, 31987, 2408, 547, 581, 513, 18487, 7678, 269, 0, 3086, 602, 649, 723, 938, 1062, 540, 5276, 4834, 538, 21284, 5119, 1106, 267, 649, 666, 4194, 585, 519, 7164, 4632, 1210, 513, 4480, 1572, 12821, 1380, 11219, 14493, 26332, 1588, 269, 769, 2834, 7223, 267, 649, 949, 2119, 547, 4194, 519, 1062, 676, 9256, 4834, 547, 9004, 4632, 2394, 649, 666, 4194, 585, 513, 2582, 835, 269, 11109, 835, 4756, 12193, 585, 1287, 2636, 721, 547, 4194, 585, 513, 2034, 4756, 267, 543, 649, 666, 3136, 602, 1184, 2394, 782, 4632, 616, 12193, 585, 563, 763, 1482, 3804, 666, 581, 1031, 585, 6061, 585, 519, 7164, 4632, 950, 538, 519, 5119, 6041, 269, 1284, 1376, 609, 8108, 938, 21284, 5119, 563, 2414, 4194, 585, 519, 1062, 267, 649, 1616, 547, 2322, 938, 21284, 5119, 883, 1945, 1572, 4737, 3235, 3559, 517, 1106, 1141, 782, 2609, 2630, 519, 15497, 616, 3160, 547, 4642, 269, 901, 5654, 899, 519, 1739, 912, 9616, 602, 519, 2418, 609, 19980, 1886, 1127, 538, 519, 4737, 3235, 3559, 517, 1106, 5119, 1611, 602, 789, 723, 1044, 4957, 538, 519, 1184, 540, 21130, 519, 5119, 269, 4495, 538, 713, 1106, 649, 666, 27682, 938, 3312, 3830, 607, 912, 1607, 2636, 721, 547, 4194, 519, 4834, 2047, 1210, 2241, 7223, 269, 1809, 875, 798, 649, 1205, 547, 713, 1106, 888, 2414, 1205, 547, 4737, 3235, 3559, 517, 1106, 649, 23396, 9343, 543, 5924, 1039, 610, 10208, 9343, 1996, 824, 9343, 269, 589, 6093, 4640, 568, 547, 1039, 610, 10208, 4737, 476, 272, 1996, 782, 9343, 2630, 538, 1931, 547, 1118, 782, 2609, 538, 6241, 476, 272, 3160, 547, 476, 271, 896, 519, 15497, 269, 4495, 713, 568, 6913, 267, 649, 666, 798, 519, 1482, 609, 4737, 476, 273, 543, 782, 9343, 2630, 547, 1118, 782, 2609, 2630, 519, 15497, 538, 6241, 476, 273, 3160, 547, 476, 271, 563, 5629, 782, 2609, 2630, 519, 15497, 616, 3160, 547, 476, 271, 267, 649, 666, 3274, 4194, 585, 519, 4756, 2418, 267, 4358, 693, 519, 5377, 540, 519, 5119, 543, 2324, 938, 1259, 909, 563, 2005, 779, 1271, 547, 8275, 602, 711, 782, 1949, 540, 4834, 616, 1151, 15344, 256, 1280, 1383, 267, 649, 666, 1685, 12821, 1380, 11219, 14493, 26332, 1588, 543, 1439, 909, 609, 519, 1739, 21284, 5119, 563, 1607, 3803, 21284, 5119, 1934, 5267, 602, 476, 271, 345, 815, 476, 273, 267, 799, 568, 7543, 2336, 4131, 779, 3802, 998, 606, 1383, 540, 12821, 1380, 11219, 14493, 17594, 2469, 998, 519, 14318, 593, 519, 1318, 1900, 8386, 9912, 269, 0, 303, 8991, 8780, 7728, 14877, 1164, 1377, 540, 6710, 538, 519, 6917, 2127, 3413, 26555, 519, 10820, 540, 1034, 1507, 2244, 14935, 630, 26967, 6705, 264, 543, 519, 2244, 1652, 267, 1519, 1507, 13184, 1200, 10249, 267, 4557, 1218, 267, 543, 13230, 4600, 7722, 5631, 538, 519, 6683, 5823, 563, 1103, 1082, 540, 891, 10820, 267, 2021, 4043, 547, 7985, 811, 982, 2367, 1317, 540, 519, 2528, 2861, 7130, 269, 634, 13927, 1076, 2208, 540, 8105, 5823, 568, 1152, 835, 2601, 585, 6917, 6710, 269, 12344, 513, 811, 1271, 2601, 568, 602, 519, 6917, 4057, 798, 711, 1378, 610, 1852, 4747, 19356, 908, 7221, 267, 1434, 2298, 2244, 1373, 519, 1292, 10697, 563, 1103, 1249, 267, 2244, 16531, 814, 1079, 2360, 269, 3689, 267, 621, 2306, 519, 2244, 1652, 8200, 593, 1866, 685, 3747, 585, 4557, 1218, 543, 13230, 4600, 269, 634, 3747, 585, 4557, 1218, 676, 2244, 14935, 547, 11349, 2244, 814, 1044, 593, 519, 7771, 267, 1373, 8719, 676, 12227, 543, 13230, 4600, 585, 4398, 543, 7443, 563, 19675, 519, 2244, 1652, 4057, 3136, 547, 4096, 593, 741, 1378, 3457, 543, 17493, 538, 1585, 3029, 585, 741, 6668, 888, 13553, 267, 519, 2244, 1652, 616, 8572, 547, 1569, 8804, 630, 920, 9016, 264, 543, 1628, 1480, 3854, 269, 7457, 547, 8804, 3294, 5673, 593, 32097, 602, 519, 2244, 1652, 798, 711, 723, 269, 5274, 3854, 5673, 593, 4598, 547, 2069, 267, 799, 538, 2490, 5673, 593, 922, 1463, 543, 9940, 3790, 547, 519, 4057, 10820, 563, 2467, 616, 1079, 2596, 4128, 585, 2244, 16531, 269, 634, 1101, 568, 519, 3810, 21376, 3892, 540, 2244, 1144, 11429, 269, 1284, 798, 711, 723, 1463, 2963, 593, 945, 22595, 875, 1454, 2244, 1317, 519, 21621, 2244, 862, 3827, 798, 711, 15476, 610, 1450, 519, 1857, 547, 1294, 519, 1239, 593, 1367, 9562, 540, 2244, 563, 763, 1232, 27812, 6683, 14829, 1239, 4043, 547, 1397, 602, 2244, 1144, 11429, 568, 3810, 13671, 543, 519, 8635, 814, 2799, 936, 942, 538, 19220, 540, 519, 2244, 15024, 540, 519, 15718, 889, 543, 13225, 583, 1729, 5736, 563, 763, 2034, 2601, 568, 602, 519, 1569, 547, 2244, 998, 4557, 3599, 585, 519, 4057, 10820, 814, 1044, 9991, 607, 519, 2244, 14935, 616, 13346, 547, 12227, 543, 13230, 11668, 563, 1607, 568, 3226, 3020, 540, 519, 2671, 23145, 6137, 7154, 540, 4557, 3599, 2429, 9031, 281, 24041, 6683, 568, 2484, 811, 19311, 547, 519, 1804, 2244, 14935, 269, 634, 19774, 4557, 1218, 1590, 2709, 741, 11668, 543, 14526, 585, 13230, 4747, 2901, 538, 519, 6917, 610, 4683, 1858, 563, 763, 2244, 2924, 540, 4557, 1218, 267, 1498, 1134, 20452, 543, 9788, 856, 538, 519, 21621, 8907, 6411, 267, 616, 538, 2259, 3833, 2653, 585, 1804, 2244, 14935, 547, 4931, 1203, 610, 29875, 609, 791, 29774, 563, 4002, 519, 3390, 540, 2244, 23799, 9084, 267, 519, 8549, 1744, 30353, 7040, 538, 476, 1960, 271, 4956, 796, 29434, 3585, 602, 519, 9099, 1876, 5036, 1100, 3970, 547, 519, 2179, 540, 2244, 513, 1268, 666, 1378, 269, 634, 5418, 320, 585, 1514, 5126, 5645, 1100, 2597, 538, 519, 7040, 779, 27790, 563, 763, 22587, 1996, 713, 27790, 616, 1869, 533, 2056, 609, 519, 10966, 7040, 269, 22749, 798, 711, 723, 1022, 4781, 855, 7227, 267, 1256, 952, 789, 616, 8348, 547, 2015, 2244, 23799, 9084, 563, 27455, 6963, 1281, 711, 3100, 547, 581, 593, 519, 2229, 779, 16786, 269, 634, 1454, 1790, 3016, 2213, 3892, 540, 1533, 2244, 568, 513, 1857, 1894, 575, 9404, 1157, 269, 4107, 540, 602, 2244, 568, 540, 1970, 12680, 267, 3983, 4087, 543, 2352, 1569, 547, 1216, 543, 3340, 1454, 5092, 543, 4674, 7868, 1007, 5411, 798, 711, 723, 513, 1857, 1489, 1062, 547, 1118, 513, 2713, 593, 891, 3338, 269, 769, 1249, 267, 1034, 2244, 23799, 9084, 14565, 723, 1044, 23696, 610, 8959, 1317, 540, 519, 3668, 540, 513, 1434, 1489, 1062, 585, 519, 1007, 1507, 2244, 14935, 563, 1103, 519, 29291, 267, 519, 1761, 18689, 25808, 540, 2244, 23799, 9084, 616, 9561, 741, 3409, 593, 2244, 607, 789, 616, 1373, 7142, 883, 13230, 11668, 3544, 6683, 269, 14210, 1218, 616, 1100, 3476, 538, 1454, 3747, 543, 1507, 2244, 14935, 630, 325, 1301, 619, 264, 616, 1373, 17065, 7458, 856, 607, 1134, 538, 519, 6735, 585, 2244, 563, 2467, 616, 693, 2547, 1079, 2081, 538, 799, 519, 4057, 666, 9101, 741, 3348, 13895, 6228, 269, 2290, 568, 547, 1205, 513, 10257, 1612, 4897, 540, 2244, 538, 2450, 543, 2298, 602, 789, 666, 11349, 543, 946, 547, 1569, 2883, 3854, 630, 920, 9016, 264, 543, 6990, 585, 11378, 543, 17016, 563, 6546, 568, 711, 593, 519, 16880, 1022, 942, 4166, 267, 952, 2479, 269, 634, 824, 568, 547, 1847, 2901, 513, 851, 610, 782, 540, 519, 7622, 547, 606, 4683, 11897, 12009, 1858, 543, 2709, 741, 11668, 585, 13230, 4747, 563, 2005, 779, 513, 19408, 1870 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3240, 10818, 263, 272, 267, 476, 273, 994, 274, 454, 24257, 1362, 27349, 6745, 652, 815, 476, 1015, 454, 24257, 1362, 27349, 6745, 652, 454, 1015, 692, 258, 1401, 8526, 454, 258, 1103, 5124, 267, 1401, 8526, 616, 17411, 3842, 2119, 7721, 1061, 7161, 1496, 1410, 4003, 4067, 4940, 3371, 568, 606, 1383, 16105, 1384, 3698, 930, 6958, 4233, 10031, 339, 787, 912, 1015, 1315, 476, 271, 454, 21955, 20023, 19667, 1707, 13286, 912, 2745, 834, 302, 3591, 267, 23380, 4799, 12828, 912, 10139, 454, 325, 3373, 912, 2745, 834, 2171, 2811, 2944, 609, 602, 4799, 24257, 930, 6958, 4233, 4590, 302, 3591, 267, 23380, 563, 258, 2171, 2811, 2944, 609, 602, 563, 2162, 7383, 532, 692, 258, 1103, 5124, 267, 5007, 8021, 666, 581, 1031, 1210, 519, 20438, 1104, 314, 331, 3869, 4940, 1280, 1367, 3252, 267, 596, 666, 946, 689, 1496, 325, 15635, 4067, 316, 610, 1496, 12221, 4067, 316, 1104, 269, 6875, 513, 1413, 693, 519, 1739, 3732, 16105, 1384, 5814, 4351, 454, 5228, 942, 1104, 9219, 454, 12690, 842, 815, 4351, 27110, 263, 272, 267, 476, 1911, 994, 24257, 1820, 4351, 842, 454, 5038, 692, 258, 11711, 594, 23860, 454, 258, 763, 5124, 1982, 532, 1893, 2501, 609, 513, 2603, 540, 8021, 267, 547, 2253, 609, 269, 1280, 3236, 267, 1934, 568, 513, 1413, 693, 875, 649, 6460, 1239, 3889, 547, 12673, 609, 519, 946, 540, 519, 4584, 548, 5399, 1210, 3758, 594, 23860, 1384, 5814, 4584, 548, 454, 332, 2643, 626, 815, 22373, 1607, 2580, 834, 529, 2580, 476, 275, 267, 476, 15836, 2767, 316, 1948, 7046, 519, 3758, 595, 281, 3097, 258, 321, 2435, 6155, 520, 585, 1603, 269, 634, 4484, 678, 1354, 519, 32197, 5569, 568, 1031, 547, 2061, 19758, 31988, 29400, 563, 3240, 12803, 815, 1930, 16868, 257, 290, 281, 11138, 321, 2435, 6155, 520, 2580, 834, 342, 5602, 335, 1157, 548, 6155, 2794, 9852, 2643, 626, 267, 1250, 12803, 994, 3240, 12803, 25379, 4590, 3240, 12803, 815, 1930, 16868, 257, 290, 281, 11138, 3667, 17902, 2580, 834, 342, 5602, 3240, 12803, 22182, 2891, 1607, 568, 513, 3732, 5569, 5602, 3240, 12803, 25379, 4590, 3240, 12803, 815, 1930, 16868, 257, 290, 281, 11138, 3667, 17902, 5602, 24257, 1820, 1250, 12803, 18667, 4590, 258, 262, 1607, 568, 513, 3732, 5569, 7055, 3240, 12803, 25379, 4590, 258, 15411, 519, 3758, 585, 2542, 563, 3240, 12803, 815, 1930, 16868, 257, 290, 281, 11138, 321, 2435, 6155, 520, 5602, 2903, 539, 4289, 815, 4584, 548, 269, 2903, 30044, 12803, 994, 3240, 12803, 25379, 4590, 24257, 1820, 16041, 4289, 454, 9131, 1607, 3299, 1412, 529, 3299, 476, 275, 267, 476, 15836, 2767, 6540, 258, 30812, 1431, 543, 4632, 454, 258, 30812, 1431, 538, 5124, 666, 581, 4957, 269, 1280, 3236, 267, 1491, 513, 1413, 693, 713, 2783, 1384, 272, 2999, 513, 2999, 476, 274, 692, 258, 1607, 2783, 11974, 602, 513, 568, 3152, 982, 835, 543, 849, 1447, 982, 1614, 269, 1411, 666, 849, 946, 2048, 23437, 685, 547, 18419, 3688, 610, 4632, 538, 14249, 269, 589, 1390, 1259, 547, 13861, 543, 1711, 8638, 568, 998, 1592, 2649, 687, 267, 799, 723, 606, 4082, 543, 1287, 513, 2048, 1721, 685, 16083, 267, 4553, 676, 513, 4642, 610, 811, 2048, 1721, 685, 610, 2048, 604, 685, 21291, 269, 3371, 568, 606, 1383, 1384, 24257, 32102, 272, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 316, 21188, 32102, 273, 815, 1496, 274, 267, 476, 275, 267, 476, 276, 316, 3097, 24257, 1820, 1496, 343, 2608, 586, 585, 1535, 538, 32102, 272, 585, 586, 538, 32102, 273, 316, 1496, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 279, 267, 476, 1015, 267, 476, 280, 267, 476, 1321, 267, 476, 1428, 316, 3097, 24257, 1820, 1496, 343, 585, 1535, 538, 32102, 272, 952, 476, 275, 3436, 1535, 3436, 476, 272, 316, 1496, 273, 267, 476, 274, 2639, 258, 13425, 952, 513, 2783, 568, 3020, 585, 1022, 3688, 563, 258, 257, 1415, 257, 7024, 3020, 952, 1022, 6221, 538, 519, 1592, 568, 3020, 563, 24257, 1022, 8443, 328, 4939, 476, 274, 585, 1775, 538, 1496, 274, 267, 476, 274, 267, 476, 275, 267, 476, 275, 267, 476, 274, 316, 7481, 12148, 454, 258, 1607, 568, 1317, 476, 275, 4939, 476, 274, 815, 476, 272, 267, 543, 476, 272, 568, 3020, 267, 865, 1022, 3890, 7024, 6936, 563, 258, 13425, 585, 875, 1082, 3688, 513, 2783, 568, 3020, 563, 24257, 2040, 263, 272, 585, 1775, 538, 1496, 274, 267, 476, 274, 267, 476, 275, 267, 476, 275, 267, 476, 274, 316, 952, 1775, 2652, 476, 275, 994, 273, 454, 24257, 1642, 32102, 272, 314, 271, 316, 21188, 1820, 32102, 272, 454, 314, 273, 267, 476, 274, 316, 21188, 1642, 32102, 272, 692, 258, 17471, 4632, 616, 1572, 865, 1317, 789, 616, 10294, 3544, 3252, 543, 616, 28505, 1510, 2027, 3616, 25730, 269, 1717, 267, 952, 596, 1616, 547, 2328, 873, 267, 596, 991, 547, 17551, 873, 693, 519, 1376, 540, 519, 1599, 609, 519, 2048, 29514, 685, 20438, 269, 19227, 267, 5124, 786, 12622, 519, 1843, 547, 513, 1007, 2199, 4756, 269, 6875, 513, 1413, 693, 519, 3732, 16105, 2630, 1384, 15893, 815, 476, 276, 454, 3698, 1250, 325, 15635, 10031, 258, 1607, 786, 1820, 476, 276, 563, 2745, 1297, 454, 3698, 1776, 325, 15635, 10031, 258, 1607, 12651, 606, 9868, 1317, 519, 4756, 814, 711, 1044, 3808, 1354, 8228, 269, 5124, 6487, 602, 621, 606, 1843, 786, 581, 3808, 547, 621, 2663, 543, 5932, 513, 1007, 267, 2199, 1843, 3079, 540, 17034, 519, 2518, 835, 563, 2745, 1297, 454, 15893, 815, 476, 274, 454, 3698, 2943, 534, 1278, 325, 15635, 10031, 29514, 1297, 454, 258, 1607, 786, 7157, 1689, 519, 2518, 563, 15893, 815, 476, 274, 454, 0, 12163, 288, 7473, 295, 3036, 281, 13891, 1690, 344, 582, 328, 30605, 454, 23911, 274, 10417, 281, 32686, 1076, 590, 15659, 538, 5124, 454, 294, 18952, 18510, 281, 4179, 2517, 326, 603, 889, 2593, 270, 1372, 321, 1690, 344, 582, 328, 2420, 692, 289, 889, 1076, 23037, 568, 513, 2241, 18570, 5690, 602, 1568, 12055, 8271, 676, 10992, 543, 2220, 6260, 519, 11105, 2609, 952, 789, 616, 1459, 538, 519, 4636, 1931, 563, 20701, 3698, 19389, 5416, 2187, 825, 562, 815, 7003, 5416, 264, 8931, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 585, 795, 538, 2039, 263, 271, 19885, 268, 272, 2187, 2018, 952, 5416, 14728, 316, 285, 320, 14728, 266, 272, 316, 2187, 3546, 31575, 815, 513, 14728, 2639, 3546, 513, 14728, 24557, 513, 14728, 266, 272, 2639, 3546, 513, 14728, 266, 272, 316, 815, 31575, 4449, 454, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 1820, 5416, 5157, 3910, 754, 6889, 19515, 1038, 454, 672, 3097, 4449, 454, 4449, 454, 320, 815, 3403, 14061, 20889, 4590, 321, 889, 1076, 5416, 994, 27030, 0, 258, 298, 5271, 514, 6129, 454, 5035, 5463, 1712, 13286, 263, 2750, 4003, 2567, 1780, 454, 5035, 932, 6064, 13286, 263, 2750, 4003, 2567, 1780, 692, 5035, 9779, 8266, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 521, 2187, 1038, 585, 1775, 538, 521, 912, 2018, 952, 1775, 11203, 1412, 271, 262, 543, 1775, 11203, 1412, 272, 12466, 3546, 6318, 28759, 3488, 7407, 9779, 8266, 5569, 1152, 2636, 585, 476, 271, 610, 476, 272, 538, 519, 5569, 5073, 3546, 2132, 454, 1038, 1582, 4732, 815, 521, 22322, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 2132, 1582, 4732, 2652, 824, 454, 825, 7711, 18878, 24709, 454, 825, 1219, 689, 318, 6493, 28949, 16911, 2187, 1038, 521, 273, 815, 834, 4840, 1038, 585, 1775, 538, 26571, 912, 2018, 952, 1775, 11203, 476, 271, 543, 1775, 11203, 476, 272, 912, 3546, 6318, 28759, 3488, 7407, 9779, 8266, 5569, 1152, 2636, 585, 476, 271, 610, 476, 272, 538, 519, 5569, 5073, 3546, 2132, 454, 1038, 585, 795, 538, 26571, 912, 2018, 521, 273, 6834, 1193, 27203, 994, 1038, 2132, 9779, 8266, 4433, 273, 994, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1582, 4732, 454, 825, 1219, 12980, 318, 3333, 3424, 318, 3847, 4311, 2187, 1038, 521, 275, 815, 834, 4840, 1038, 1535, 815, 1496, 842, 12169, 264, 585, 586, 538, 1582, 4732, 2639, 1038, 1535, 21014, 263, 271, 994, 1038, 1535, 6910, 263, 271, 994, 1038, 585, 1775, 538, 1535, 912, 2018, 521, 275, 6834, 1193, 9217, 994, 1038, 1582, 4732, 815, 521, 275, 454, 825, 1219, 12980, 318, 3333, 3424, 318, 2431, 4311, 2187, 1038, 521, 276, 815, 834, 4840, 1038, 1535, 815, 1496, 842, 12169, 264, 585, 586, 538, 1582, 4732, 2639, 1038, 10917, 815, 1535, 314, 271, 2639, 1038, 1535, 21014, 4590, 1038, 1535, 27044, 263, 271, 267, 10917, 994, 1038, 585, 1775, 538, 1535, 912, 2018, 521, 276, 6834, 1193, 9217, 994, 1038, 1582, 4732, 815, 521, 276, 454, 825, 1219, 3787, 3772, 318, 663, 4311, 267, 824, 30531, 8266, 2187, 1038, 521, 274, 815, 834, 4840, 1038, 952, 7003, 4311, 4732, 264, 2652, 7003, 263, 1278, 30531, 8266, 4732, 2187, 2018, 585, 1775, 538, 2039, 12759, 4311, 4732, 15892, 3546, 1535, 815, 703, 4311, 4732, 5157, 8079, 2608, 703, 263, 1278, 30531, 8266, 4732, 5157, 7481, 3546, 521, 274, 6834, 1193, 3287, 994, 2018, 2132, 9779, 8266, 4433, 274, 994, 825, 1219, 32004, 4311, 267, 32004, 28747, 2187, 1038, 952, 7003, 4311, 4732, 264, 4939, 32004, 28747, 11203, 476, 271, 912, 2018, 6318, 932, 6064, 13286, 3488, 30531, 8266, 5569, 568, 711, 16883, 676, 32004, 3259, 5073, 2018, 2132, 454, 1038, 3116, 912, 2018, 25098, 815, 1496, 1345, 4732, 5157, 281, 328, 266, 577, 6064, 28747, 316, 585, 1775, 538, 2039, 263, 271, 267, 7003, 4311, 4732, 1070, 32004, 28747, 22708, 2018, 585, 1775, 538, 2039, 12759, 263, 577, 16218, 15892, 3546, 25098, 5157, 316, 815, 1496, 842, 12169, 264, 585, 586, 538, 25098, 5157, 27663, 2018, 2132, 25098, 454, 825, 1219, 1232, 1712, 4311, 267, 17683, 8782, 583, 325, 268, 279, 262, 2187, 1038, 11353, 815, 1412, 7055, 1038, 759, 815, 1412, 7055, 1038, 1293, 815, 630, 1345, 4732, 22065, 271, 262, 1040, 8161, 3488, 271, 5073, 1038, 952, 17683, 2652, 1412, 639, 23829, 857, 328, 12466, 2018, 952, 7003, 4311, 4732, 264, 3436, 476, 278, 912, 3546, 1535, 815, 1496, 1345, 4732, 5157, 281, 328, 266, 278, 316, 585, 1775, 538, 2039, 263, 271, 267, 7003, 4311, 4732, 1070, 476, 278, 22708, 3546, 585, 1775, 538, 1535, 912, 7386, 521, 277, 815, 1412, 8339, 21860, 9217, 994, 7386, 13798, 788, 2002, 815, 703, 4433, 277, 267, 476, 273, 994, 7386, 669, 815, 669, 337, 6262, 617, 788, 2002, 994, 7386, 759, 6834, 669, 454, 3546, 2132, 759, 454, 2018, 3116, 281, 8931, 3546, 13798, 788, 2002, 815, 703, 4311, 4732, 267, 476, 273, 994, 3546, 669, 815, 669, 337, 6262, 617, 788, 2002, 994, 3546, 2132, 669, 454, 1038, 8640, 17683, 2652, 1412, 583, 325, 268, 279, 12466, 2018, 952, 7003, 4311, 4732, 264, 3436, 476, 3953, 912, 3546, 7117, 815, 1496, 1345, 4732, 5157, 281, 328, 266, 3953, 316, 585, 1775, 538, 2039, 263, 271, 267, 7003, 4311, 4732, 1070, 476, 3953, 22708, 3546, 585, 579, 538, 7117, 912, 7386, 11353, 815, 1412, 7055, 7386, 1293, 815, 630, 340, 22065, 271, 262, 1040, 8161, 3488, 271, 5073, 7386, 952, 579, 11468, 273, 316, 2652, 834, 1015, 13426, 13376, 6318, 5463, 1712, 13286, 3488, 514, 20777, 3056, 31632, 5073, 7386, 3116, 912, 13376, 952, 7003, 26086, 264, 1315, 1293, 11203, 476, 279, 912, 23351, 6318, 5463, 1712, 13286, 3488, 514, 20777, 11353, 5073, 13376, 3116, 912, 23351, 1535, 815, 1496, 340, 5157, 281, 328, 266, 279, 316, 585, 1775, 538, 2039, 263, 271, 267, 7003, 26086, 1070, 476, 279, 22708, 23351, 585, 737, 538, 2039, 263, 272, 267, 7003, 3287, 15892, 4449, 3546, 952, 1535, 25208, 6012, 281, 273, 316, 11203, 1412, 1015, 12466, 4449, 7386, 6318, 5463, 1712, 13286, 3488, 514, 20777, 11353, 5073, 23351, 11353, 6834, 1535, 314, 271, 6012, 12248, 281, 2639, 23351, 585, 795, 538, 2039, 263, 272, 267, 7003, 3287, 15892, 4449, 3546, 11353, 6834, 1535, 14728, 6012, 273, 281, 2639, 23351, 13798, 788, 2002, 815, 703, 6357, 1080, 267, 476, 273, 994, 23351, 669, 815, 669, 337, 6262, 617, 788, 2002, 994, 23351, 759, 6834, 669, 454, 3546, 2132, 759, 454, 2018, 3116, 912, 3546, 952, 1582, 4732, 11468, 273, 316, 2652, 834, 1015, 13426, 7386, 6318, 5463, 1712, 13286, 3488, 514, 20777, 3056, 31632 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 912, 1038, 2132, 1496, 9795, 8548, 6033, 263, 516, 1440, 18380, 267, 1377, 268, 272, 267, 24042, 318, 6572, 6025, 5404, 267, 1535, 4297, 585, 1535, 538, 3209, 318, 9792, 263, 516, 1440, 18380, 267, 1377, 22708, 20701, 454, 18851, 11553, 2464, 7728, 9569, 14160, 19798, 454, 9558, 331, 919, 513, 4786, 689, 513, 11347, 5044, 547, 21159, 547, 513, 454, 12528, 22345, 762, 3898, 269, 29185, 5035, 6871, 16062, 571, 3899, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 4786, 23631, 1440, 15461, 30648, 1417, 1137, 2187, 1038, 1582, 6230, 777, 815, 4786, 23631, 1440, 15461, 30648, 1417, 1137, 454, 1038, 1582, 11859, 318, 9471, 815, 1496, 343, 585, 1535, 538, 3965, 269, 12399, 3890, 2639, 1038, 1582, 11859, 318, 10846, 815, 7003, 4311, 11859, 318, 9471, 314, 271, 7481, 1038, 1582, 269, 1399, 5155, 1868, 815, 31460, 1038, 1582, 269, 20200, 655, 31320, 815, 1826, 5091, 626, 952, 1826, 5091, 626, 3116, 1582, 269, 6943, 6958, 5407, 9852, 25514, 994, 1038, 1582, 4732, 2217, 15481, 815, 2040, 4311, 11859, 318, 9471, 314, 271, 7481, 1038, 1582, 13885, 318, 9471, 815, 1496, 344, 585, 586, 538, 3965, 269, 11161, 3890, 6540, 825, 1219, 1826, 6958, 5407, 4311, 267, 3965, 2187, 1038, 2132, 9598, 8443, 263, 320, 267, 3193, 8443, 321, 314, 320, 316, 585, 536, 538, 1582, 11859, 318, 9471, 28413, 23351, 585, 513, 538, 2039, 4311, 11859, 318, 10846, 13580, 2020, 825, 12361, 3698, 1305, 318, 1399, 5155, 1868, 4311, 267, 5569, 8217, 815, 1496, 5257, 30297, 1345, 11859, 318, 10846, 2187, 825, 12361, 825, 585, 1775, 538, 2039, 3287, 318, 10846, 2187, 27030, 8931, 825, 1219, 8884, 26000, 937, 4311, 267, 678, 267, 1535, 318, 1314, 267, 521, 7272, 2187, 1038, 5727, 16849, 2473, 538, 1535, 318, 1314, 971, 602, 521, 7272, 1515, 314, 271, 316, 10922, 2473, 314, 6570, 316, 10922, 521, 7272, 1515, 314, 272, 316, 8173, 1038, 521, 7272, 815, 630, 271, 267, 1582, 11859, 318, 10846, 910, 476, 272, 264, 952, 521, 7272, 2652, 20465, 3116, 521, 7272, 454, 1038, 952, 521, 7272, 314, 271, 316, 268, 272, 3436, 521, 7272, 314, 272, 13912, 6318, 28759, 2891, 24105, 8884, 23528, 1038, 952, 678, 13843, 7003, 3287, 318, 1314, 314, 271, 316, 2567, 6318, 12039, 13286, 2891, 6570, 856, 540, 23451, 1701, 2020, 1038, 2132, 1496, 343, 585, 1535, 538, 1535, 318, 1314, 952, 1535, 314, 337, 316, 538, 2039, 4433, 7272, 314, 271, 3910, 521, 7272, 314, 272, 27994, 272, 264, 6540, 825, 1219, 735, 318, 842, 26000, 937, 4311, 267, 5542, 18380, 2187, 1038, 5727, 570, 1389, 513, 1592, 540, 8884, 8424, 543, 7024, 513, 1592, 540, 10974, 538, 3097, 2018, 1535, 318, 9471, 799, 616, 1369, 519, 9138, 9832, 269, 8173, 1038, 856, 815, 1582, 11859, 318, 9471, 454, 1038, 952, 7003, 263, 572, 3005, 18380, 264, 11203, 1582, 11859, 318, 10846, 912, 2018, 6318, 12039, 13286, 2891, 5353, 3005, 9598, 1590, 581, 2715, 271, 348, 8424, 2462, 1701, 269, 8971, 18692, 14030, 4449, 3546, 1582, 11859, 318, 10846, 4917, 1038, 585, 1775, 538, 2039, 4311, 11859, 318, 10846, 2187, 2018, 856, 815, 1582, 269, 5793, 1998, 26000, 937, 9217, 267, 856, 267, 5542, 18380, 5157, 7481, 1038, 2132, 856, 692, 825, 1219, 5542, 6831, 805, 528, 4311, 2187, 1038, 5727, 6282, 525, 513, 5542, 8675, 1210, 3593, 3403, 269, 5727, 27030, 1038, 5542, 815, 31460, 1038, 585, 1775, 538, 2039, 4311, 11859, 318, 10846, 2187, 2018, 513, 815, 3403, 3488, 14737, 3065, 6486, 540, 1826, 2715, 271, 348, 286, 910, 29717, 8971, 9217, 266, 272, 4917, 2018, 536, 815, 703, 9272, 3488, 16655, 3065, 6486, 540, 1826, 2715, 271, 348, 286, 910, 29717, 8971, 9217, 266, 272, 21875, 2018, 5542, 5157, 316, 815, 630, 842, 5416, 264, 952, 513, 256, 284, 5257, 3116, 7183, 267, 703, 6357, 264, 952, 536, 256, 284, 5257, 3116, 7183, 994, 1038, 2132, 5542, 692, 825, 1219, 1292, 4311, 2187, 1038, 5727, 717, 1161, 6871, 4960, 540, 3593, 3403, 4947, 856, 3020, 269, 8173, 1038, 521, 815, 1582, 269, 572, 3005, 6831, 805, 528, 4590, 1038, 2132, 2040, 8443, 1345, 6230, 655, 20572, 316, 585, 1535, 538, 1582, 2593, 335, 318, 842, 26000, 937, 4433, 13580, 9239, 18851, 6167, 3951, 570, 2464, 16249, 674, 7419, 290, 16739, 8173, 3698, 2099, 307, 6856, 263, 1372, 1188, 30606, 2187, 825, 14805, 566, 6635, 337, 815, 1496, 1372, 1188, 30606, 4732, 2217, 15481, 2652, 2040, 3287, 264, 3097, 7386, 585, 1535, 538, 16064, 30606, 269, 10517, 6974, 2510, 2639, 825, 1447, 1320, 534, 6635, 337, 815, 20886, 343, 13843, 586, 585, 1535, 267, 586, 538, 23407, 263, 1372, 1188, 30606, 269, 4820, 819, 267, 681, 13580, 3097, 4449, 19930, 585, 681, 538, 16064, 30606, 269, 10517, 6974, 2510, 2639, 825, 856, 815, 6936, 454, 825, 585, 1535, 538, 14805, 566, 6635, 337, 281, 856, 815, 1535, 543, 856, 454, 825, 585, 1535, 538, 1447, 1320, 534, 6635, 337, 281, 856, 815, 1535, 29644, 263, 12148, 264, 543, 856, 22562, 825, 2132, 856, 454, 0, 258, 268, 265, 268, 1718, 532, 281, 331, 11294, 272, 28605, 5897, 258, 2401, 476, 274, 6746, 657, 552, 1034, 516, 522, 2367, 657, 1642, 525, 5897, 11133, 272, 815, 3403, 18011, 11900, 4275, 522, 6305, 10098, 1003, 3266, 281, 1412, 3418, 11133, 273, 815, 3403, 18011, 11900, 4275, 522, 5302, 1495, 334, 1003, 3266, 281, 1412, 3418, 11133, 274, 815, 3403, 18011, 11900, 4275, 522, 1768, 576, 10098, 1003, 3266, 281, 262, 10142, 604, 630, 11133, 272, 285, 284, 11133, 273, 543, 1003, 273, 285, 11133, 274, 8029, 825, 1820, 1412, 302, 2367, 528, 1003, 3266, 552, 2433, 3299, 11133, 274, 1477, 12828, 6769, 825, 952, 630, 11133, 272, 285, 11133, 273, 543, 1003, 274, 285, 284, 11133, 273, 8029, 1038, 1820, 1412, 302, 2367, 528, 1003, 3266, 552, 281, 22207, 11133, 273, 1477, 825, 3116, 6769, 1038, 952, 16325, 273, 285, 11133, 272, 543, 1003, 272, 285, 11133, 274, 8029, 2018, 1820, 1412, 302, 2367, 528, 1003, 3266, 552, 281, 3299, 11133, 274, 1477, 1038, 3116, 6769, 2018, 952, 16325, 274, 285, 11133, 272, 543, 1003, 272, 285, 11133, 273, 8029, 3546, 1820, 1412, 302, 2367, 528, 1003, 3266, 552, 281, 3299, 11133, 273, 1477, 2018, 3116, 6769, 3546, 952, 16325, 274, 285, 11133, 273, 543, 1003, 273, 285, 11133, 272, 8029, 7386, 1820, 1412, 302, 2367, 528, 1003, 3266, 552, 281, 3299, 11133, 272, 1477, 3546, 3116, 6769, 7386, 952, 16325, 273, 285, 11133, 274, 543, 1003, 274, 285, 11133, 272, 8029, 13376, 1820, 262, 302, 2367, 528, 1003, 3266, 552, 281, 3299, 11133, 272, 5897, 0, 18257, 291, 7495, 12283, 5990, 13673, 4932, 312, 717, 21397, 717, 28719, 18040, 16730, 5990, 2475, 2207, 17252, 3633, 306, 9215, 11555, 21815, 3097, 15578, 570, 8008, 5508, 5990, 14662, 3918, 2894, 23166, 27345, 18688, 5058, 5442, 28132, 16898, 23166, 5990, 13673, 4932, 312, 18257, 692, 5814, 14854, 454, 5814, 10546, 454, 5814, 6345, 454, 5814, 14764, 454, 5814, 8142, 532, 454, 258, 689, 6687, 549, 22422, 1104, 6713, 19638, 7531, 3698, 1847, 318, 16651, 10031, 825, 15981, 31262, 547, 1847, 6345, 18257, 692, 825, 14854, 269, 4289, 523, 4590, 825, 14854, 269, 517, 4486, 263, 16651, 269, 1575, 267, 1412, 10000, 5073, 825, 14854, 269, 517, 4486, 263, 16651, 6155, 1144, 267, 1412, 291, 1144, 5073, 825, 14854, 269, 517, 4486, 263, 16651, 16000, 267, 1412, 29381, 5073, 825, 14854, 269, 517, 4486, 263, 16651, 16192, 267, 1412, 14738, 17210, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 8931, 825, 14764, 12500, 4650, 4590, 8931, 825, 1247, 6936, 912, 1038, 10546, 269, 523, 5519, 8548, 913, 618, 4590, 1038, 1847, 318, 16651, 4590, 825, 1948, 1184, 318, 272, 815, 6713, 6025, 13759, 284, 332, 913, 318, 16651, 994, 825, 1948, 1184, 318, 272, 269, 11034, 4590, 825, 1948, 1184, 318, 273, 815, 6713, 6025, 13759, 284, 523, 5519, 269, 523, 5519, 8548, 913, 618, 994, 825, 1948, 1184, 318, 273, 269, 11034, 10797, 825, 14854, 6230, 664, 31467, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8899, 652, 5871, 9324, 7631, 2209, 692, 2304, 14595, 1259, 540, 14874, 519, 32159, 538, 513, 7787, 3830, 568, 547, 9062, 782, 2474, 538, 519, 3830, 676, 519, 9803, 1455, 14009, 269, 901, 1505, 568, 5078, 1256, 950, 972, 616, 811, 982, 1079, 2474, 538, 519, 3830, 780, 7078, 476, 274, 692, 24169, 1422, 8218, 9387, 15857, 1422, 2765, 346, 274, 343, 348, 2715, 3374, 348, 815, 1422, 2765, 12757, 317, 273, 348, 2715, 276, 348, 910, 1422, 2765, 346, 272, 348, 2715, 2641, 4153, 754, 9387, 15857, 780, 11405, 692, 8340, 519, 9803, 1455, 14009, 1384, 9448, 300, 815, 476, 10755, 692, 11372, 17586, 1142, 2165, 676, 519, 700, 7374, 780, 17961, 9387, 15857, 476, 10755, 1422, 10383, 1422, 2765, 346, 274, 343, 348, 2715, 3374, 348, 815, 476, 10755, 1422, 10383, 1422, 2765, 12757, 317, 273, 348, 2715, 276, 348, 910, 476, 10755, 1422, 10383, 1422, 2765, 346, 272, 348, 2715, 2641, 4153, 754, 9387, 265, 10926, 290, 30327, 1455, 2188, 780, 17961, 9387, 265, 4153, 322, 30327, 346, 10755, 23685, 10233, 346, 1042, 348, 274, 20467, 315, 2765, 346, 274, 343, 7346, 322, 30327, 346, 3374, 3686, 7807, 322, 30327, 346, 10755, 23685, 10233, 346, 1042, 348, 2641, 20467, 1422, 2765, 13997, 343, 2410, 317, 273, 346, 17353, 11513, 10233, 346, 1042, 348, 276, 3686, 3686, 7346, 322, 30327, 346, 276, 3686, 28363, 322, 30327, 346, 10755, 20467, 1422, 2765, 346, 272, 7346, 322, 30327, 346, 2641, 14990, 754, 9387, 265, 10926, 763, 3830, 29776, 547, 692, 17961, 9387, 15857, 280, 343, 815, 476, 2641, 343, 3867, 273, 348, 910, 476, 276, 17910, 9387, 265, 10926, 31161, 782, 2474, 547, 835, 2427, 540, 519, 3830, 780, 17961, 9387, 15857, 476, 2641, 343, 317, 273, 910, 476, 280, 343, 910, 476, 276, 815, 476, 271, 17910, 9387, 265, 10926, 17961, 9387, 15857, 1535, 815, 1422, 2765, 346, 280, 1422, 10975, 1422, 6912, 346, 26341, 3686, 2715, 5655, 4153, 754, 9387, 265, 10926, 17961, 9387, 15857, 343, 1422, 13627, 910, 271, 269, 3953, 17910, 9387, 15857, 610, 1422, 8218, 9387, 15857, 343, 1422, 13627, 476, 271, 269, 4037, 1422, 1422, 3667, 346, 12585, 4153, 754, 9387, 265, 10926, 13425, 692, 2171, 946, 519, 18839, 1422, 8218, 9387, 15857, 343, 15871, 271, 269, 3953, 17910, 9387, 15857, 780, 17961, 9387, 15857, 1422, 2765, 346, 274, 343, 348, 2715, 3374, 348, 1299, 815, 1422, 2765, 346, 274, 8987, 271, 269, 3953, 14587, 2715, 3374, 348, 815, 910, 271, 269, 2767, 8607, 1422, 2765, 12757, 317, 273, 348, 2715, 276, 348, 910, 1422, 2765, 346, 272, 348, 2715, 2190, 348, 1299, 815, 1422, 2765, 346, 8987, 271, 269, 3953, 8203, 273, 348, 2715, 276, 348, 910, 1422, 2765, 346, 272, 348, 2715, 2641, 348, 815, 910, 269, 271, 2767, 269, 1422, 1422, 3667, 346, 763, 2626, 11974, 856, 20467, 315, 754, 9387, 265, 10926, 3086, 649, 2638, 519, 3070, 1422, 8218, 9387, 15857, 343, 284, 271, 269, 4037, 17910, 9387, 15857, 780, 17961, 9387, 15857, 1422, 2765, 346, 274, 343, 348, 2715, 3374, 348, 1299, 815, 1422, 2765, 346, 274, 263, 271, 269, 4037, 14587, 2715, 3374, 348, 815, 476, 271, 269, 5038, 8607, 1422, 2765, 12757, 317, 273, 348, 2715, 276, 348, 910, 1422, 2765, 346, 272, 348, 2715, 2641, 348, 1422, 2765, 18950, 271, 269, 4037, 8203, 273, 348, 2715, 276, 348, 910, 1422, 2765, 346, 272, 348, 2715, 2641, 348, 1299, 815, 1547, 271, 5038, 269, 1422, 1422, 3667, 346, 763, 2626, 11974, 856, 20467, 315, 754, 9387, 265, 10926, 7078, 476, 275, 692, 24169, 1422, 8218, 9387, 15857, 1422, 2765, 346, 274, 348, 2715, 343, 1341, 476, 273, 348, 910, 1422, 2765, 346, 275, 348, 2715, 343, 815, 476, 276, 348, 815, 1422, 2765, 346, 273, 348, 2715, 343, 317, 273, 910, 476, 274, 343, 910, 476, 1015, 4153, 754, 9387, 15857, 780, 11405, 692, 15542, 528, 782, 32159, 780, 17961, 9387, 15857, 1422, 2765, 346, 274, 348, 2715, 343, 1341, 476, 273, 348, 910, 1422, 2765, 346, 275, 348, 2715, 343, 910, 476, 276, 348, 910, 1422, 2765, 346, 273, 348, 2715, 263, 343, 1341, 476, 273, 7565, 343, 910, 476, 276, 264, 4153, 754, 9387, 265, 10926, 8340, 519, 9803, 1455, 14009, 780, 17961, 9387, 265, 4153, 3667, 346, 9448, 300, 348, 815, 630, 343, 1341, 476, 273, 7565, 343, 910, 476, 276, 9385, 754, 9387, 265, 10926, 11372, 17586, 782, 2474, 538, 519, 3830, 676, 519, 700, 13967, 780, 17961, 9387, 15857, 630, 343, 1341, 476, 273, 264, 630, 343, 910, 476, 276, 264, 1422, 10383, 1422, 2765, 346, 274, 348, 2715, 343, 1341, 476, 273, 348, 910, 630, 343, 1341, 476, 273, 264, 630, 343, 910, 476, 276, 264, 1422, 10383, 1422, 2765, 346, 275, 348, 2715, 343, 910, 476, 276, 348, 815, 630, 343, 1341, 476, 273, 264, 630, 343, 910, 476, 276, 264, 1422, 10383, 1422, 2765, 346, 273, 348, 2715, 263, 343, 1341, 476, 273, 7565, 343, 910, 476, 276, 264, 4153, 754, 9387, 265, 10926, 290, 30327, 519, 1455, 2474, 780, 17961, 9387, 265, 4153, 322, 30327, 18950, 343, 266, 273, 264, 12917, 343, 268, 276, 264, 1422, 10383, 1422, 2765, 346, 274, 7346, 322, 30327, 12757, 266, 273, 3686, 24179, 343, 266, 273, 9385, 322, 30327, 18950, 343, 268, 276, 14587, 1422, 10383, 1422, 2765, 346, 275, 7346, 322, 30327, 12757, 268, 276, 3686, 7807, 322, 30327, 18950, 343, 266, 273, 264, 4153, 322, 30327, 18950, 343, 268, 276, 14587, 1422, 10383, 1422, 2765, 346, 273, 7346, 322, 30327, 18950, 343, 266, 273, 264, 4153, 322, 30327, 18950, 343, 268, 276, 264, 14990, 754, 9387, 265, 10926, 763, 3830, 29776, 547, 692, 17961, 9387, 15857, 274, 3287, 910, 476, 276, 264, 910, 476, 275, 3287, 1341, 476, 273, 264, 815, 476, 273, 17910, 9387, 265, 10926, 8245, 680, 1518, 780, 17961, 9387, 15857, 274, 343, 910, 476, 1428, 910, 476, 275, 343, 910, 476, 279, 1299, 815, 476, 273, 8607, 1535, 1299, 815, 910, 1839, 1422, 1422, 3667, 346, 12585, 4153, 754, 9387, 265, 10926, 13425, 780, 17961, 9387, 15857, 1422, 2765, 346, 274, 348, 2715, 343, 1341, 476, 273, 348, 910, 1422, 2765, 346, 275, 348, 2715, 343, 910, 476, 276, 348, 1299, 815, 1422, 2765, 346, 274, 348, 2715, 268, 1839, 1341, 476, 273, 348, 910, 1422, 2765, 346, 275, 348, 2715, 268, 1839, 268, 276, 348, 815, 476, 271, 269, 19740, 8607, 1422, 2765, 346, 273, 348, 2715, 343, 317, 273, 910, 476, 274, 343, 910, 476, 1015, 348, 1299, 815, 1422, 2765, 346, 273, 348, 2715, 8987, 1839, 8203, 273, 910, 476, 274, 11196, 1839, 264, 910, 476, 1015, 348, 815, 476, 271, 269, 19740, 1422, 754, 9387, 265, 10926, 7078, 476, 276, 692, 24169, 1422, 8218, 9387, 15857, 1422, 2765, 346, 273, 343, 348, 2715, 273, 343, 1341, 476, 272, 348, 1341, 1422, 2765, 12757, 348, 2715, 343, 1341, 476, 275, 348, 815, 476, 272, 17910, 9387, 15857, 780, 11405, 692, 8340, 519, 9803, 1455, 14009, 780, 17961, 9387, 265, 4153, 3667, 346, 9448, 300, 348, 815, 630, 273, 343, 1341, 476, 272, 264, 630, 343, 1341, 476, 275, 264, 1422, 754, 9387, 265, 10926, 11372, 17586, 782, 2474, 538, 519, 3830, 676, 519, 700, 13967, 780, 17961, 9387, 15857, 630, 273, 343, 1341, 476, 272, 264, 630, 343, 1341, 476, 275, 264, 1422, 10383, 1422, 2765, 346, 273, 343, 348, 2715, 273, 343, 1341, 476, 272, 348, 1341, 630, 273, 343, 1341, 476, 272, 264, 630, 343, 1341, 476, 275, 264, 1422, 10383, 1422, 2765, 12757, 348, 2715, 343, 1341, 476, 275, 348, 815, 630, 273, 343, 1341, 476, 272, 264, 630, 343, 1341, 476, 275, 9385, 754, 9387, 265, 10926, 290, 30327, 782, 1455, 2474, 780, 17961, 9387, 265, 4153, 322, 30327, 18950, 273, 343, 266, 272, 264, 12917, 343, 266, 275, 264, 1422, 10383, 1422, 2765, 346, 273, 343, 7346, 322, 30327, 346, 273, 343, 266, 272, 3686, 23444, 273, 343, 266, 272, 9385, 322, 30327, 18950, 343, 266, 275, 14587, 1422, 10383, 1422, 2765, 12757, 7346, 322, 30327, 12757, 266, 275, 3686, 14352, 273, 343, 266, 272, 7565, 343, 266, 275, 9385, 754, 9387, 265, 10926, 763, 16866, 3830, 568, 692, 17961, 9387, 15857, 273, 343, 3287, 1341, 476, 275, 264, 1341, 1535, 630, 273, 343, 1341, 476, 272, 264, 815, 630, 273, 343, 1341, 476, 272, 264, 630, 343, 1341, 476, 275, 264, 1422, 754, 9387, 265, 10926, 292, 3916, 3729, 24324, 780, 17961, 9387, 15857, 273, 343, 3867, 273, 348, 1341, 476, 279, 343, 1341, 476, 273, 343, 3867, 273, 348, 1341, 1535, 815, 476, 273, 343, 3867, 273, 348, 1341, 476, 280, 343, 1341, 476, 275, 1422, 754, 9387, 265, 10926, 8624, 937, 899, 2474, 780, 17961, 9387, 15857, 273, 343, 3867, 273, 348, 1299, 815, 476, 275, 8607, 1535, 317, 273, 1299, 815, 476, 273, 1422, 23976, 1535, 815, 1422, 10975, 1422, 6912, 346, 273, 348, 1422, 1422, 3667, 346, 12585, 4153, 754, 9387, 265, 10926, 13425, 780, 17961, 9387, 15857, 1422, 2765, 346, 273, 343, 348, 2715, 273, 343, 1341, 476, 272, 348, 1341, 1422, 2765, 12757, 348, 2715, 343, 1341, 476, 275, 348, 1299, 815, 1422, 2765, 346, 273, 25490, 346, 273, 3686, 2715, 273, 25490, 346, 273, 348, 1341, 476, 272, 348, 1341, 1422, 2765, 3189, 6912, 346, 273, 3686, 11513, 6912, 346, 273, 348, 1341, 476, 275, 348, 1422, 13627, 476, 271, 269, 278, 4375, 1341, 476, 271, 269, 28360, 815, 476, 272, 269, 1422, 1422, 3667, 346, 763, 2626, 11974, 856, 20467, 8607, 1422, 2765, 346, 273, 343, 348, 2715, 273, 343, 1341, 476, 272, 348, 1341, 1422, 2765, 12757, 348, 2715, 343, 1341, 476, 275, 348, 1299, 815, 1422, 2765, 346, 273, 13375, 8987, 315, 6912, 346, 273, 4153, 2431, 3738, 348, 2715, 273, 13375, 630, 10559, 6912, 346, 273, 4153, 2431, 3738, 1341, 476, 272, 348, 1341, 1422, 2765, 346, 10559, 6912, 346, 273, 3686, 2715, 10559, 6912, 346, 273, 348, 1341, 476, 275, 348, 1422, 13627, 476, 272, 269, 276, 5325, 1341, 476, 271, 269, 276, 5325, 815, 476, 272, 269, 1422, 1422, 3667, 346, 763, 2626, 11974, 856, 20467, 315, 754, 9387, 265, 10926, 1012, 16534, 7464, 28131, 10819, 4635, 21929, 12307, 692, 300, 10056, 10819, 692, 288, 5163, 1966, 609, 1100, 10231, 568, 4330, 676, 519, 4542, 1422, 8218, 9387, 265, 4153, 3667, 18097, 2700, 348, 815, 1422, 3667, 346, 14588, 539, 348, 1422, 9392, 1422, 3667, 346, 5503, 4153, 754, 9387, 15857, 780, 4322, 2042, 666, 4125, 519, 1840, 543, 12408, 540, 7787, 7215, 780, 7078, 476, 277, 692, 8310, 15964, 24385, 807, 4682, 666, 27739, 593, 519, 31315, 5211, 269, 634, 1699, 540, 519, 5757, 568, 1614, 5195, 829, 5662, 269, 898, 3576, 24385, 807, 519, 1482, 2179, 540, 942, 547, 2951, 476, 1321, 5195, 19654, 607, 1614, 5195, 25318, 269, 14419, 519, 3432, 693, 799, 24385, 807, 779, 666, 4141, 1131, 2951, 538, 1869, 1216, 780, 11405, 692, 272, 269, 16294, 4632, 692, 4131, 1422, 8218, 9387, 15857, 338, 31386, 754, 9387, 15857, 3432, 540, 519, 666, 4141, 538, 1869, 1216, 692, 10190, 267, 1422, 8218, 9387, 15857, 338, 1341, 476, 274, 1422, 31386, 754, 9387, 15857, 519, 3432, 540, 519, 666, 4141, 10707, 19654, 692, 17961, 9387, 15857, 338, 268, 274, 1422, 31386, 754, 9387, 15857, 519, 3432, 540, 519, 666, 4141, 10707, 25318, 692, 273, 269, 20472, 513, 3349, 780, 2171, 1118, 513, 3349, 602, 10525, 519, 1344, 649, 723, 538, 513, 2312, 6073, 1384, 291, 3925, 20028, 630, 332, 3796, 264, 15580, 5384, 454, 291, 1144, 6894, 1422, 8218, 9387, 15857, 1321, 17910, 9387, 15857, 1422, 8218, 9387, 15857, 338, 1341, 476, 274, 17910, 9387, 15857, 1422, 8218, 9387, 15857, 339, 17910, 9387, 265, 8679, 10000, 6894, 1422, 8218, 9387, 15857, 274, 17910, 9387, 15857, 1422, 8218, 9387, 15857, 338, 910, 476, 274, 17910, 9387, 15857, 1422, 8218, 9387, 15857, 339, 17910, 9387, 265, 10926, 274, 269, 3503, 606, 3830, 780, 7712, 1422, 8218, 9387, 265, 4153, 3667, 18097, 2700, 348, 815, 1422, 3667, 346, 3433, 348, 1422, 9392, 1422, 3667, 346, 5503, 4153, 754, 9387, 265, 9574, 649, 666, 2161, 602, 281, 1422, 8218, 9387, 265, 4153, 3667, 346, 5503, 348, 815, 1422, 2765, 3189, 3667, 18097, 2700, 3686, 11513, 3667, 346, 3433, 14990, 754, 9387, 15857, 780, 763, 942, 547, 979, 19654, 568, 692, 17961, 9387, 15857, 512, 815, 1422, 2765, 346, 1321, 348, 2715 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 16268, 543, 7059, 6073, 267, 519, 1761, 585, 8236, 4264, 543, 10853, 4093, 689, 519, 2916, 12909, 1223, 581, 19847, 20136, 2376, 8268, 519, 1950, 2078, 1063, 7379, 2924, 543, 2916, 1689, 998, 2029, 2861, 20214, 538, 5434, 543, 609, 4704, 547, 4264, 1646, 4031, 269, 898, 849, 15109, 519, 1909, 7379, 2924, 666, 1404, 538, 12419, 6639, 1689, 547, 705, 622, 519, 2152, 540, 2916, 1689, 6433, 676, 19163, 602, 2916, 1689, 568, 16155, 26688, 267, 609, 4540, 3656, 29625, 543, 10850, 7142, 547, 13720, 267, 4431, 267, 543, 5310, 1256, 11457, 547, 4431, 547, 2916, 1689, 267, 3564, 519, 3498, 543, 31278, 1646, 540, 4540, 3652, 543, 29625, 2854, 538, 519, 2796, 540, 3095, 1137, 1063, 4357, 3486, 1876, 543, 1857, 3486, 1876, 20193, 20147, 676, 24152, 930, 26363, 2994, 602, 616, 2556, 538, 20547, 519, 14196, 12314, 609, 7379, 2924, 31719, 14775, 547, 2518, 2916, 1689, 563, 290, 2787, 281, 27173, 14765, 18379, 553, 22413, 1511, 630, 1708, 273, 264, 25827, 16296, 7126, 607, 19078, 15863, 547, 6820, 8693, 7827, 19822, 267, 6820, 4750, 540, 15348, 543, 4521, 3194, 267, 5292, 269, 1015, 267, 3143, 269, 274, 267, 6032, 269, 2004, 268, 6924, 2676, 4415, 942, 267, 519, 4139, 3959, 4027, 543, 11268, 723, 2097, 547, 519, 21282, 607, 513, 1883, 3486, 4123, 3390, 585, 1896, 6082, 269, 898, 1360, 4249, 513, 2629, 1909, 538, 3486, 4123, 267, 2804, 1894, 267, 543, 2804, 2208, 269, 2060, 519, 4027, 540, 7214, 3959, 2924, 267, 3384, 2477, 616, 2111, 547, 1491, 851, 8362, 538, 3486, 4123, 269, 901, 3947, 606, 1620, 540, 519, 7214, 3959, 2924, 267, 2010, 267, 3140, 5133, 543, 1764, 593, 3384, 2477, 269, 634, 3483, 540, 713, 1957, 568, 547, 1683, 519, 5467, 513, 2312, 2856, 540, 4123, 543, 6457, 1302, 3959, 538, 3384, 2477, 269, 634, 1957, 568, 540, 3665, 2956, 1317, 621, 568, 835, 540, 519, 1906, 4574, 602, 8711, 519, 2152, 540, 4123, 543, 25827, 3959, 689, 513, 3384, 2197, 5133, 563, 763, 10318, 5364, 540, 25827, 16296, 10466, 538, 15043, 18831, 281, 6496, 12559, 26975, 27519, 25198, 630, 18800, 7388, 1540, 910, 20504, 539, 994, 763, 4473, 540, 1702, 11615, 543, 519, 11780, 13565, 25827, 16296, 7126, 15716, 630, 307, 6020, 11679, 264, 1847, 519, 7379, 305, 2243, 547, 519, 4295, 540, 4182, 779, 4853, 3609, 269, 769, 713, 1957, 649, 8495, 519, 21876, 540, 25827, 16296, 7126, 3609, 538, 1970, 4747, 3384, 2477, 543, 5635, 873, 547, 1346, 540, 1647, 4747, 3283, 269, 1284, 2708, 2436, 10338, 19206, 267, 519, 2804, 5191, 267, 519, 1480, 3854, 543, 519, 1377, 540, 2804, 1646, 6927, 538, 8159, 519, 7214, 3959, 3609, 269, 1284, 1265, 602, 519, 2157, 540, 2804, 1646, 607, 1134, 607, 519, 4390, 540, 2029, 10338, 267, 519, 570, 6020, 11679, 6876, 543, 519, 2804, 5191, 616, 519, 1292, 4632, 7713, 519, 1377, 540, 519, 25827, 3959, 4027, 269, 4935, 938, 1292, 1267, 4145, 519, 2956, 540, 4726, 696, 633, 4390, 585, 3384, 2477, 538, 2679, 741, 2029, 3490, 269, 1284, 2566, 602, 1510, 1134, 31465, 6639, 19206, 1022, 2197, 1131, 711, 581, 1651, 1243, 547, 2149, 3927, 519, 3959, 2924, 269, 901, 568, 1813, 547, 519, 1164, 11268, 3790, 543, 7245, 607, 1134, 607, 519, 4617, 1377, 540, 5647, 543, 8754, 14664, 7662, 269, 634, 3609, 29943, 540, 713, 4466, 568, 602, 1991, 547, 1022, 6876, 7282, 3959, 2924, 1079, 2188, 616, 1898, 281, 1134, 31465, 6639, 4493, 607, 1134, 607, 4726, 696, 633, 19206, 269, 1452, 1079, 2188, 3565, 547, 10451, 1507, 543, 31278, 5647, 543, 2870, 513, 3747, 585, 4027, 602, 1223, 29387, 519, 2359, 3790, 540, 7379, 269, 4935, 267, 519, 2919, 2477, 1058, 7500, 593, 519, 3815, 7133, 519, 7214, 3959, 998, 2029, 4483, 12512, 2864, 982, 593, 519, 1377, 540, 4027, 3294, 998, 3486, 11650, 0, 322, 269, 476, 8182, 271, 267, 834, 320, 28630, 610, 31174, 720, 540, 23157, 2437, 8385, 1022, 7802, 267, 2523, 602, 3617, 547, 7584, 610, 547, 930, 16008, 282, 519, 1808, 2631, 540, 834, 30513, 781, 28630, 9967, 540, 513, 1236, 7398, 543, 22765, 257, 568, 6592, 676, 476, 14321, 271, 338, 267, 609, 936, 2023, 525, 540, 834, 18478, 711, 8806, 547, 804, 6139, 855, 547, 19799, 1701, 667, 816, 31667, 531, 1101, 6592, 476, 9264, 279, 563, 24874, 2296, 588, 1961, 834, 14075, 887, 2041, 267, 10077, 325, 6438, 28630, 12816, 676, 23464, 5443, 2437, 689, 5824, 588, 7637, 834, 549, 2041, 267, 22514, 618, 257, 630, 10193, 2707, 540, 6196, 3943, 1609, 1961, 267, 7073, 3943, 20527, 1729, 548, 267, 5053, 1609, 7637, 267, 7969, 588, 7637, 1070, 689, 5259, 588, 1961, 834, 320, 1279, 887, 2041, 282, 257, 8385, 834, 3258, 618, 267, 3937, 2437, 689, 3597, 540, 588, 16279, 514, 834, 1729, 1747, 267, 5044, 2437, 609, 513, 6281, 2631, 540, 834, 1729, 2322, 593, 257, 3775, 525, 267, 3092, 1421, 689, 623, 23966, 3597, 2608, 560, 601, 268, 834, 1729, 2322, 267, 1796, 267, 2322, 538, 1931, 2437, 609, 16755, 13288, 547, 513, 7555, 1843, 610, 1747, 269, 12791, 834, 342, 1580, 781, 1279, 28630, 540, 9663, 610, 17207, 257, 568, 1140, 6479, 689, 476, 6642, 280, 563, 257, 16955, 6219, 8108, 519, 13617, 2665, 540, 22404, 543, 824, 7786, 2437, 476, 8146, 277, 267, 689, 3943, 669, 527, 710, 267, 689, 5824, 1242, 1106, 540, 5259, 737, 327, 527, 517, 834, 325, 13702, 267, 7113, 545, 267, 28630, 1510, 19492, 1407, 12816, 2047, 593, 519, 1560, 282, 257, 538, 4704, 547, 7980, 267, 834, 1723, 520, 540, 13875, 2437, 1031, 14165, 1227, 585, 834, 1415, 10359, 610, 8720, 1701, 834, 23536, 2406, 606, 31970, 2262, 257, 1496, 299, 1342, 749, 1299, 8845, 22049, 21890, 514, 19776, 12355, 630, 306, 655, 12792, 264, 737, 583, 2023, 996, 834, 1723, 520, 2437, 589, 18769, 545, 6539, 339, 3570, 267, 12428, 737, 3430, 534, 834, 4802, 523, 282, 257, 2142, 2131, 525, 19776, 21265, 6509, 737, 339, 333, 834, 4802, 523, 28630, 1701, 13565, 281, 932, 527, 29532, 269, 0, 2108, 306, 15471, 568, 519, 2702, 547, 979, 689, 5821, 547, 5821, 609, 1100, 2530, 540, 15131, 892, 1107, 12736, 8725, 26235, 454, 301, 984, 1328, 15055, 547, 3111, 855, 5821, 568, 513, 851, 540, 1967, 543, 865, 3025, 2833, 5821, 693, 930, 1448, 540, 741, 2729, 269, 9282, 1082, 1004, 616, 2111, 547, 5581, 5821, 267, 519, 1004, 945, 5963, 1174, 621, 616, 519, 3283, 945, 723, 5433, 543, 4810, 621, 563, 2252, 3025, 2833, 621, 267, 875, 798, 1004, 7753, 5821, 543, 1869, 3914, 519, 2407, 1761, 540, 741, 1967, 888, 293, 9430, 538, 3294, 3085, 1406, 1118, 835, 513, 5821, 855, 1018, 875, 835, 2941, 525, 609, 17528, 568, 1018, 2306, 873, 513, 5821, 269, 4107, 1004, 616, 3362, 3541, 9229, 676, 5821, 543, 666, 3362, 6336, 8289, 610, 1445, 593, 519, 2104, 269, 634, 1101, 1900, 538, 20408, 5821, 568, 547, 711, 32696, 13951, 538, 519, 4606, 540, 1582, 16620, 585, 513, 12675, 1974, 540, 942, 269, 898, 568, 2067, 547, 1995, 10413, 543, 29359, 855, 835, 1590, 786, 2933, 547, 3247, 4743, 8909, 267, 24631, 543, 25922, 269, 5502, 267, 1445, 593, 16561, 602, 596, 723, 8959, 593, 713, 3801, 543, 538, 3843, 547, 31363, 543, 31799, 3054, 563, 15919, 1004, 3111, 855, 789, 723, 1100, 2856, 875, 789, 3893, 547, 1141, 789, 616, 269, 634, 1883, 2962, 693, 713, 1448, 568, 547, 1427, 15869, 707, 3527, 3056, 547, 519, 1808, 2680, 610, 942, 540, 5821, 269, 12085, 2141, 3100, 20501, 2390, 8086, 543, 596, 666, 5469, 707, 1378, 2623, 543, 3527, 602, 616, 17672, 547, 707, 1967, 269, 18833, 707, 12755, 568, 519, 6574, 2645, 538, 10018, 532, 1967, 950, 596, 6430, 547, 2119, 1586, 563, 301, 6334, 267, 519, 3871, 1141, 5821, 4386, 616, 1114, 855, 952, 2009, 267, 3801, 1586, 1018, 596, 723, 8959, 267, 1818, 513, 6857, 4674, 547, 2087, 593, 519, 4617, 2798, 596, 1185, 7074, 269, 6936, 14710, 1152, 4386, 950, 596, 3398, 547, 581, 17204, 563, 7069, 3803, 4062, 540, 5796, 568, 602, 5821, 568, 606, 12136, 610, 2680, 267, 621, 568, 711, 513, 3586, 1533, 540, 6228, 543, 621, 1281, 711, 5581, 596, 269, 23299, 6087, 596, 547, 3247, 267, 1413, 1394, 267, 2992, 267, 3501, 707, 3527, 543, 556, 2000, 320, 4875, 3054, 2509, 707, 3804, 269, 0, 17357, 1023, 616, 2111, 547, 1628, 1804, 11818, 3889, 538, 1082, 540, 519, 10600, 13719, 9341, 5054, 1317, 789, 2270, 1623, 25027, 2890, 268, 14607, 2801, 1572, 6641, 321, 1675, 514, 1756, 630, 663, 1419, 5219, 547, 607, 18186, 2135, 656, 17850, 2801, 1040, 5940, 3307, 1623, 321, 542, 339, 2249, 799, 616, 1336, 538, 1114, 27712, 1413, 5176, 9838, 269, 15894, 281, 25595, 595, 5487, 297, 324, 17480, 572, 454, 333, 22022, 476, 18605, 1296, 1765, 26238, 14161, 700, 4883, 30906, 2919, 1010, 1062, 540, 20803, 454, 17852, 543, 2831, 1765, 516, 572, 2117, 1667, 9286, 2249, 1759, 593, 3308, 454, 3430, 1026, 2373, 899, 2681, 267, 3337, 543, 2450, 269, 769, 519, 2250, 1906, 5756, 2676, 516, 572, 2117, 1667, 1336, 602, 15971, 5027, 666, 811, 8308, 2697, 454, 14588, 2886, 269, 589, 1895, 540, 2582, 16052, 539, 13479, 1765, 15228, 321, 1675, 25177, 20196, 2661, 3330, 454, 14585, 1023, 543, 616, 2565, 547, 741, 6668, 1765, 732, 1152, 1631, 1373, 9674, 454, 20041, 2249, 1210, 5027, 2079, 267, 2687, 547, 27563, 563, 5976, 6641, 321, 1675, 514, 1756, 267, 3744, 723, 1044, 12042, 1229, 676, 513, 2757, 454, 332, 6973, 1108, 2861, 1062, 540, 2249, 8446, 602, 3085, 1406, 960, 454, 20357, 891, 7103, 782, 7168, 1454, 1413, 519, 1482, 1765, 20791, 5180, 6960, 454, 3250, 338, 2223, 1767, 25595, 5487, 297, 324, 17480, 572, 267, 13930, 7548, 540, 7350, 267, 24282, 454, 13750, 269, 968, 1607, 8488, 538, 12561, 519, 811, 4977, 15007, 540, 454, 1211, 4328, 2249, 1210, 4719, 2553, 814, 7494, 15641, 539, 454, 2889, 28698, 538, 519, 1382, 540, 1623, 25027, 11818, 20671, 27712, 267, 2523, 454, 5976, 2543, 547, 741, 2702, 547, 16641, 2518, 8337, 3034, 663, 1010, 9164, 6743, 693, 6641, 321, 1675, 514, 1756, 602, 5892, 1185, 1044, 454, 16766, 539, 1927, 607, 29162, 540, 519, 1482, 2249, 269, 1358, 1867, 741, 454, 29798, 538, 519, 1699, 630, 5353, 696, 4700, 3390, 540, 519, 4750, 540, 24695, 19223, 269, 1358, 454, 1410, 600, 1441, 1808, 5027, 12508, 1765, 1211, 13294, 31539, 519, 7103, 1591, 454, 333, 16197, 328, 267, 26503, 543, 8392, 6955, 6814, 269, 4634, 1498, 519, 1623, 321, 542, 1206, 454, 1952, 18193, 1360, 1454, 519, 1482, 267, 4849, 585, 741, 2450, 267, 4719, 2963, 454, 20813, 3305, 539, 602, 519, 1079, 616, 1114, 2249, 15587, 563, 22772, 902, 5815, 602, 7366, 540, 824, 14147, 1623, 321, 542, 1206, 2907, 454, 30009, 609, 840, 3916, 27274, 4719, 1239, 616, 849, 3982, 2249, 454, 5976, 2189, 8733, 14778, 563, 13440, 10744, 540, 1623, 321, 542, 339, 2249, 4763, 1058, 15186, 2087, 454, 516, 14142, 883, 11818, 20671, 27712, 543, 7520, 23484, 538, 938, 454, 24483, 540, 741, 1950, 7350, 2223, 1767, 5487, 297, 324, 17480, 572, 563, 321, 1122, 534, 1010, 960, 540, 1362, 4328, 6641, 321, 1675, 514, 1756, 1210, 4719, 2553, 607, 454, 4820, 540, 1010, 1382, 883, 741, 14498, 543, 4720, 543, 538, 2663, 454, 13231, 625, 540, 14147, 6926, 2286, 2621, 1644, 547, 2518, 8337, 563, 1410, 18075, 799, 6641, 321, 1675, 514, 1756, 2249, 596, 2461, 7231, 609, 568, 1271, 454, 20357, 1978, 2249, 540, 6641, 321, 1675, 514, 1756, 12314, 609, 1978, 2249, 454, 1993, 14147, 2223, 646, 1767, 269, 968, 7212, 1082, 27712, 616, 12955, 607, 513, 1267, 540, 454, 29514, 2916, 1689, 267, 930, 949, 581, 2111, 547, 7639, 1317, 789, 454, 817, 1539, 622, 609, 6641, 321, 1675, 514, 1756, 2249, 602, 616, 1732, 9862, 547, 3636, 454, 516, 572, 2117, 1667, 593, 713, 1788, 941, 3627, 31231, 1777, 19576, 267, 10927, 454, 30700, 538, 7350, 267, 24282, 3557, 267, 543, 6276, 16026, 1234, 25534, 267, 12314, 454, 2889, 13940, 528, 540, 7350, 267, 2160, 540, 519, 27550, 4157, 344, 639, 267, 744, 7219, 11867, 563, 763, 2817, 3163, 7690, 6462, 713, 1382, 563, 13126, 281, 24282, 3557, 2160 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 15777, 8027, 543, 2362, 2298, 669, 578, 31508, 269, 634, 3328, 5794, 10414, 5692, 786, 581, 1447, 9308, 588, 1066, 6681, 610, 5906, 982, 602, 540, 519, 13149, 17620, 610, 8136, 563, 2791, 1522, 2161, 519, 5794, 10414, 13333, 609, 519, 2138, 1729, 540, 968, 1740, 21273, 711, 9875, 2223, 543, 585, 1732, 610, 585, 8338, 267, 713, 17188, 1055, 269, 769, 2487, 5359, 267, 519, 5794, 10414, 1185, 519, 9803, 1297, 540, 3742, 10279, 647, 15969, 543, 4638, 14213, 338, 269, 2334, 1373, 1767, 267, 952, 596, 1616, 547, 6443, 519, 4108, 547, 1205, 538, 519, 4339, 543, 14736, 1524, 9885, 538, 513, 8396, 7997, 267, 972, 616, 1906, 5794, 10414, 7158, 2139, 563, 289, 2393, 8805, 281, 19992, 634, 2480, 25333, 693, 5589, 8816, 9751, 16710, 630, 17359, 17245, 267, 476, 1001, 280, 994, 13434, 8816, 2866, 610, 968, 321, 2393, 3786, 892, 568, 827, 5722, 4374, 1279, 585, 519, 772, 2529, 269, 13108, 269, 898, 786, 1331, 2168, 8516, 543, 13108, 6561, 267, 607, 1134, 607, 9378, 15201, 543, 32205, 2866, 269, 634, 1101, 1079, 4374, 616, 513, 4101, 16369, 1974, 4904, 609, 2564, 32182, 543, 2168, 2866, 607, 1134, 607, 4108, 2069, 267, 1519, 7833, 5957, 543, 7584, 6284, 563, 763, 1985, 2185, 4374, 1331, 1362, 543, 3946, 6823, 2866, 5054, 602, 3382, 3388, 689, 23001, 18017, 543, 6928, 4580, 3441, 1852, 547, 1216, 6668, 543, 9604, 2866, 269, 13108, 25501, 20829, 513, 6928, 1590, 917, 875, 547, 4431, 547, 6928, 18002, 1519, 14700, 543, 11642, 607, 1134, 607, 875, 547, 7639, 693, 4262, 269, 5272, 13743, 528, 568, 513, 11727, 7669, 1067, 267, 2111, 547, 7669, 476, 2004, 18126, 543, 2347, 513, 2947, 8792, 12155, 10581, 563, 763, 3803, 19224, 548, 585, 13108, 16461, 1080, 568, 1572, 11135, 853, 725, 267, 799, 2882, 3875, 9465, 547, 1449, 3388, 4121, 538, 519, 4374, 1991, 563, 16498, 3367, 1465, 4530, 912, 263, 9616, 267, 538, 476, 1708, 271, 267, 519, 772, 2529, 269, 13108, 786, 581, 10962, 2242, 547, 519, 11553, 307, 994, 272, 269, 276, 13304, 2196, 585, 942, 454, 21446, 622, 829, 19524, 779, 24787, 281, 476, 4335, 13452, 7669, 585, 942, 454, 21446, 622, 829, 19524, 779, 24787, 281, 13749, 776, 4783, 17811, 6633, 538, 476, 1321, 3764, 454, 21446, 622, 829, 19524, 779, 24787, 281, 476, 272, 269, 276, 13304, 25500, 17524, 282, 2196, 11320, 1779, 585, 942, 454, 263, 1708, 271, 14595, 829, 19524, 779, 24787, 281, 476, 273, 9481, 518, 4737, 3684, 1449, 994, 10521, 3764, 540, 1225, 331, 13522, 454, 263, 2414, 581, 8719, 676, 2062, 1301, 28506, 1449, 994, 10521, 3764, 540, 7903, 22705, 454, 5719, 1943, 906, 281, 1546, 1943, 906, 786, 4096, 593, 1018, 1826, 540, 6928, 543, 5692, 25501, 616, 8655, 547, 267, 855, 789, 616, 1419, 1472, 5722, 3275, 543, 1282, 602, 942, 267, 25501, 1522, 711, 1294, 2244, 585, 1279, 5712, 540, 942, 269, 2755, 693, 4262, 267, 972, 616, 1100, 9397, 281, 596, 1796, 513, 476, 277, 268, 1321, 5662, 4585, 267, 1256, 593, 9530, 904, 267, 4352, 972, 616, 1419, 968, 3128, 6118, 13467, 892, 609, 9168, 10593, 269, 26676, 270, 17060, 10047, 11148, 547, 4755, 1310, 827, 1614, 1296, 267, 4470, 593, 519, 2816, 269, 2368, 4876, 4610, 723, 3476, 6928, 32186, 543, 930, 723, 1152, 13272, 10279, 10473, 269, 898, 779, 1271, 547, 1382, 6619, 540, 942, 547, 2119, 547, 5150, 519, 1655, 2816, 14018, 585, 596, 543, 707, 7207, 563, 290, 11857, 281, 13108, 9635, 2523, 3136, 547, 7500, 538, 3140, 535, 1662, 687, 267, 865, 1689, 568, 3500, 269, 21540, 12198, 540, 16034, 568, 1869, 14553, 24451, 630, 329, 684, 1640, 21821, 539, 1281, 711, 544, 17532, 609, 9972, 21821, 539, 543, 9992, 15715, 1436, 609, 10492, 568, 2523, 19275, 538, 971, 2673, 20453, 1040, 2755, 2021, 798, 4196, 693, 782, 16034, 267, 972, 568, 1869, 3023, 1143, 543, 18275, 538, 24034, 2338, 630, 2288, 19250, 1447, 982, 519, 13149, 17620, 543, 519, 8136, 1916, 308, 2529, 269, 11076, 15050, 18849, 3786, 5161, 540, 5216, 4374, 602, 2253, 609, 4108, 543, 2168, 8516, 17950, 543, 9921, 547, 3946, 6823, 3498, 540, 11076, 15050, 1527, 545, 13853, 269, 5589, 21209, 1451, 23001, 18017, 543, 7436, 26206, 607, 1134, 607, 9378, 15201, 543, 1216, 6668, 269, 5589, 21209, 1590, 1780, 513, 1614, 851, 10977, 1449, 630, 1873, 574, 5547, 264, 602, 2882, 513, 3670, 20356, 7914, 4553, 676, 513, 476, 1911, 11281, 7669, 543, 512, 15105, 1216, 585, 2947, 3764, 563, 16498, 24524, 4530, 912, 3080, 8792, 540, 7903, 22705, 454, 3080, 8792, 540, 1694, 13522, 454, 20755, 539, 476, 272, 269, 276, 13304, 2196, 454, 763, 11076, 15050, 5161, 540, 827, 476, 2412, 267, 1822, 3742, 10279, 2818, 269, 1306, 971, 267, 621, 568, 513, 1360, 16496, 7936, 609, 13485, 602, 4125, 3388, 689, 9612, 543, 1763, 26443, 547, 31845, 10466, 269, 11076, 2871, 1841, 5443, 968, 1372, 1943, 892, 1169, 1554, 538, 741, 11645, 543, 4559, 543, 2759, 1562, 666, 581, 2476, 689, 2823, 585, 3275, 693, 513, 942, 269, 11076, 15050, 11766, 906, 4043, 547, 581, 811, 7928, 267, 855, 666, 581, 607, 2110, 607, 513, 1906, 2395, 610, 607, 1279, 607, 1896, 3275, 563, 8253, 782, 11076, 15050, 10467, 616, 593, 968, 1492, 5032, 892, 2443, 972, 616, 24654, 10467, 7863, 24654, 25825, 543, 12647, 269, 634, 11076, 15050, 786, 849, 11766, 547, 8396, 10851, 547, 1683, 3606, 1489, 547, 17535, 4238, 610, 547, 32433, 519, 13108, 2429, 519, 1158, 563, 5629, 596, 4076, 21503, 519, 3604, 1063, 1142, 7936, 267, 972, 568, 1869, 835, 811, 2101, 7156, 602, 666, 1860, 707, 4108, 1995, 281, 2436, 547, 21821, 610, 10243, 269, 1284, 979, 883, 519, 2640, 543, 17498, 1938, 540, 1142, 1318, 1934, 2443, 2638, 873, 856, 2336, 763, 10787, 595, 787, 3381, 3014, 3126, 814, 2141, 8854, 1657, 543, 3564, 538, 11093, 519, 6345, 538, 513, 4190, 267, 1930, 1158, 543, 8486, 1154, 873, 1996, 513, 524, 7342, 543, 1134, 27787, 21087, 626, 269, 634, 12449, 538, 519, 1034, 2487, 3888, 618, 616, 607, 26546, 607, 596, 8910, 2503, 689, 519, 3126, 267, 519, 29863, 568, 5039, 531, 267, 543, 7899, 540, 13915, 616, 2907, 13465, 922, 17192, 267, 855, 1018, 5036, 713, 3014, 6306, 689, 1169, 824, 9496, 518, 568, 519, 1650, 1467, 563, 1607, 942, 1472, 267, 3079, 540, 3695, 930, 29271, 6532, 8165, 1996, 3075, 8573, 7342, 31503, 610, 513, 22300, 14860, 1996, 683, 6387, 628, 1023, 267, 10787, 595, 787, 476, 276, 29365, 519, 6345, 1996, 3541, 6548, 1381, 538, 513, 14070, 10315, 540, 23497, 563, 2791, 1404, 607, 513, 15593, 858, 779, 1244, 14280, 25461, 609, 10654, 532, 9478, 23268, 267, 513, 1381, 6205, 945, 568, 513, 3575, 540, 6424, 918, 2803, 327, 267, 13343, 13643, 267, 543, 513, 12048, 3122, 3654, 3832, 321, 698, 269, 1703, 779, 513, 27621, 762, 552, 518, 1465, 607, 596, 3802, 998, 1010, 5939, 779, 7623, 543, 9478, 568, 9583, 5360, 5050, 693, 1101, 269, 1261, 13071, 596, 1688, 322, 4428, 1864, 1354, 6031, 267, 968, 9767, 3580, 2760, 10654, 803, 1848, 1306, 596, 1118, 707, 1259, 1394, 547, 519, 29357, 267, 835, 540, 1010, 13794, 9292, 3149, 5128, 883, 519, 4412, 25527, 267, 3850, 23268, 547, 9101, 1394, 547, 1010, 13794, 267, 737, 10107, 1055, 519, 3014, 563, 763, 6345, 568, 1287, 10710, 676, 519, 1101, 540, 1082, 18884, 596, 3580, 7237, 538, 519, 3014, 267, 10656, 269, 1261, 779, 513, 10693, 518, 10476, 25982, 945, 814, 9505, 5128, 1055, 538, 513, 536, 6064, 518, 1247, 519, 1158, 4422, 547, 695, 265, 339, 3544, 269, 18738, 1010, 536, 6064, 518, 267, 596, 3580, 1265, 7899, 540, 2370, 8100, 547, 1483, 3734, 4108, 4559, 267, 899, 606, 4630, 720, 547, 519, 476, 11025, 526, 5794, 13871, 15429, 630, 1492, 968, 8150, 892, 814, 1044, 8719, 676, 519, 1297, 968, 11025, 892, 538, 519, 1482, 2511, 264, 543, 513, 15429, 602, 779, 519, 3337, 540, 519, 476, 6200, 560, 267, 855, 609, 519, 2473, 309, 7656, 17620, 685, 15743, 563, 3891, 3091, 547, 948, 596, 856, 543, 3947, 596, 1945, 547, 5957, 1945, 824, 982, 707, 7833, 267, 799, 2882, 630, 663, 594, 6557, 711, 1818, 713, 909, 264, 930, 476, 276, 269, 1556, 10591, 563, 763, 1985, 25982, 945, 2337, 596, 856, 568, 12815, 528, 7603, 727, 11518, 1845, 267, 513, 13323, 2782, 25982, 5828, 7826, 17308, 269, 1261, 779, 2868, 539, 909, 538, 1010, 5939, 609, 519, 1906, 4961, 945, 10093, 1406, 1044, 967, 24934, 337, 3990, 676, 519, 1381, 269, 2755, 972, 267, 596, 1305, 909, 513, 4187, 547, 4444, 942, 2394, 519, 2817, 15050, 666, 2097, 12927, 269, 1411, 1590, 6512, 1927, 609, 519, 986, 326, 2389, 698, 1895, 540, 6967, 1004, 547, 1491, 1524, 23268, 543, 1010, 13794, 563, 7617, 6770, 596, 547, 519, 3791, 1292, 25982, 538, 519, 1650, 1467, 267, 24553, 28226, 267, 513, 772, 2529, 269, 8136, 2879, 23803, 945, 18611, 547, 15787, 269, 2701, 779, 835, 540, 519, 3197, 602, 24515, 7258, 596, 2429, 519, 3014, 267, 3246, 3595, 1489, 689, 513, 1434, 3845, 563, 15987, 1010, 25982, 4567, 3788, 7164, 267, 596, 3580, 849, 2097, 2066, 513, 13959, 3957, 4425, 9593, 269, 4425, 9593, 779, 513, 2915, 945, 267, 952, 646, 4991, 10413, 267, 666, 581, 646, 4705, 609, 513, 8799, 17987, 6299, 269, 898, 779, 519, 2370, 1919, 538, 713, 3014, 602, 1118, 621, 5863, 563, 1103, 476, 3707, 273, 267, 519, 2229, 12349, 930, 2244, 538, 4190, 8828, 4993, 689, 513, 4357, 8227, 585, 1269, 275, 267, 26839, 267, 6187, 273, 269, 634, 3959, 729, 4166, 3957, 538, 8956, 540, 20727, 269, 2637, 269, 9478, 670, 269, 623, 754, 13987, 585, 1010, 14222, 3028, 269, 4935, 267, 8805, 623, 754, 13987, 729, 4535, 563, 15703, 1296, 2663, 267, 8805, 623, 754, 13987, 2968, 519, 1753, 540, 519, 476, 272, 560, 13149, 30609, 819, 776, 10414, 267, 9118, 12703, 3028, 2818, 267, 543, 741, 3885, 563, 15447, 333, 585, 922, 4190, 17822, 543, 30832, 1782, 5251, 267, 972, 616, 513, 1906, 19363, 547, 3478, 6728, 539, 593, 519, 8978, 12406, 7498, 2005, 779, 10792, 267, 855, 3020, 563, 2005, 779, 513, 5458, 4108, 4884, 3544, 519, 19235, 454, 11321, 1149, 543, 741, 3885, 3335, 2661, 1175, 3544, 519, 19235, 543, 596, 3580, 1294, 873, 1247, 856, 593, 15698, 2443, 789, 2461, 10876, 269, 1924, 267, 1434, 9939, 6580, 2576, 945, 3884, 1406, 7923, 547, 519, 4108, 11214, 269, 1411, 3580, 723, 547, 5397, 606, 5662, 610, 865, 1354, 596, 4734, 519, 3020, 32604, 540, 519, 3786, 563, 763, 3786, 13315, 811, 982, 476, 10219, 267, 1822, 14143, 543, 8075, 5215, 540, 3057, 1149, 3330, 269, 3767, 267, 1900, 3544, 519, 3786, 779, 19235, 267, 543, 621, 1869, 7959, 899, 596, 4076, 2760, 2451, 563, 2252, 596, 1205, 6728, 539, 538, 8805, 623, 754, 13987, 543, 1589, 596, 3580, 11214, 581, 606, 1367, 2443, 596, 4465, 1406, 563, 2252, 596, 2461, 6728, 539, 538, 519, 10406, 2460, 540, 519, 3786, 543, 596, 991, 547, 2212, 936, 547, 1292, 2427, 547, 519, 1804, 623, 311, 267, 596, 2461, 2469, 547, 723, 547, 1205, 538, 513, 1286, 543, 5397, 693, 2547, 476, 736, 547, 476, 1839, 3764, 563, 3086, 267, 952, 596, 1810, 1406, 723, 513, 1286, 267, 1287, 707, 3681, 616, 3908, 269, 6153, 9939, 3478, 2576, 547, 1491, 596, 782, 519, 1259, 936, 972, 2443, 621, 779, 5692, 563, 11321, 1149, 30382, 7727, 909, 513, 14629, 1282, 513, 2866, 3635, 563, 295, 10884, 1346, 1954, 1136, 15113, 267, 812, 454, 763, 15113, 540, 8805, 623, 754, 13987, 616, 4583, 2429, 519, 17620, 269, 476, 272, 560, 269, 590, 25885, 779, 269, 10830, 538, 5842, 631, 622, 334, 630, 7830, 9351, 264, 568, 835, 540, 519, 1034, 29200, 2067, 9465, 936, 799, 3057, 1149, 786, 18214, 547, 2901, 3643, 519, 590, 836, 514, 17341, 610, 547, 1205, 602, 3232, 25280, 563, 15253, 1563, 547, 6366, 5251, 540, 8805, 2274, 16660, 2317, 267, 519, 15113, 540, 8805, 623, 754, 13987, 666, 581, 513, 5458, 1928, 538, 519, 1028, 563, 27409, 760, 619, 616, 2808, 835, 540, 519, 1034, 5906, 2112, 325, 16146, 538, 519, 25071, 2443, 2921, 856, 9072, 689, 10703, 4705, 543, 3768, 529, 743, 2216, 6753, 1247, 554, 4040, 538, 593, 10352, 602, 814, 1100, 23319, 602, 789, 2461, 538, 519, 3444, 327, 4202, 563, 7628, 519, 11135, 540, 853, 2718, 2784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 272, 281, 4197, 8682, 3620, 1301, 543, 4706, 2776, 28700, 7324, 8479, 20661, 692, 20236, 3620, 1301, 267, 849, 1634, 607, 1582, 2987, 329, 1722, 267, 568, 513, 2623, 1141, 2043, 1102, 12787, 2800, 2390, 2933, 267, 2356, 607, 513, 12003, 7271, 547, 4308, 609, 7920, 3929, 1928, 267, 2566, 267, 610, 8194, 269, 898, 568, 1271, 547, 1174, 602, 1582, 3620, 1301, 568, 711, 513, 11980, 3801, 267, 855, 2864, 513, 5739, 1259, 547, 11883, 609, 3929, 11605, 269, 2755, 1582, 3620, 1301, 666, 2049, 693, 1022, 2085, 267, 1382, 6920, 602, 1762, 4079, 9907, 1063, 476, 1240, 268, 2190, 616, 693, 513, 2362, 1981, 540, 2502, 538, 713, 2623, 269, 4340, 547, 513, 1353, 3370, 538, 519, 4750, 540, 32183, 2657, 267, 5111, 476, 1704, 260, 540, 2852, 1053, 4080, 2348, 7722, 538, 1875, 25252, 20141, 1582, 2987, 329, 1722, 693, 2547, 2899, 538, 741, 10715, 269, 769, 713, 3184, 267, 649, 786, 5490, 4514, 883, 519, 4128, 3297, 1582, 3620, 1301, 267, 922, 9963, 4191, 267, 543, 922, 9860, 1851, 1762, 4079, 780, 6637, 476, 273, 281, 17291, 519, 2782, 940, 20050, 540, 8682, 3620, 1301, 692, 28403, 1944, 519, 9963, 4191, 540, 1582, 3620, 1301, 568, 2629, 538, 3246, 12905, 6304, 543, 1489, 547, 1346, 10010, 609, 713, 2623, 269, 2368, 1455, 10832, 540, 1582, 3620, 1301, 1331, 1384, 265, 14627, 550, 7063, 971, 607, 11912, 267, 17236, 267, 20015, 2478, 267, 610, 26711, 602, 3112, 581, 6045, 454, 265, 654, 8960, 1279, 19492, 1407, 610, 27890, 1256, 1282, 3905, 4365, 547, 3382, 909, 16398, 610, 26711, 454, 265, 3680, 766, 540, 1514, 3871, 610, 2238, 1813, 547, 4250, 540, 13031, 26711, 610, 7063, 454, 265, 30975, 15725, 4664, 267, 3056, 547, 7928, 7099, 23638, 610, 856, 10767, 7370, 454, 265, 2060, 9526, 531, 689, 2828, 543, 1920, 2818, 454, 265, 32276, 827, 4743, 4502, 1652, 267, 27945, 267, 610, 27303, 454, 265, 12056, 538, 22672, 1652, 5615, 1510, 2543, 585, 2123, 3106, 692, 2005, 781, 1898, 547, 1935, 2576, 18071, 891, 9963, 4191, 609, 6568, 543, 8296, 1247, 8716, 873, 547, 3343, 3318, 948, 269, 901, 5012, 721, 547, 519, 1985, 3184, 910, 5885, 513, 3659, 945, 949, 581, 10010, 609, 1582, 3620, 1301, 780, 6637, 476, 274, 281, 21278, 8081, 547, 14886, 26647, 31227, 609, 8682, 3620, 1301, 692, 11045, 15659, 513, 3659, 945, 22851, 538, 1582, 3620, 1301, 666, 581, 4101, 267, 855, 707, 1909, 607, 513, 11215, 24343, 568, 4105, 538, 4543, 873, 6330, 741, 6051, 3460, 269, 6333, 2921, 519, 1739, 3268, 1384, 272, 269, 3447, 622, 3054, 827, 1582, 3620, 1301, 281, 717, 8724, 1702, 827, 1582, 3620, 1301, 786, 5512, 596, 547, 1732, 1174, 1018, 707, 3659, 568, 2469, 998, 543, 1683, 5483, 1489, 563, 273, 269, 3399, 519, 6643, 281, 13979, 707, 3659, 609, 11587, 543, 6161, 267, 11589, 707, 7422, 1510, 10385, 269, 2913, 873, 917, 602, 596, 1416, 827, 741, 1134, 5630, 543, 1616, 547, 1489, 873, 563, 274, 269, 11559, 3318, 948, 281, 3816, 785, 707, 3659, 602, 5275, 948, 689, 513, 2790, 1072, 3318, 568, 2565, 547, 5466, 741, 5817, 3929, 2152, 543, 3384, 2635, 12003, 6127, 269, 20644, 547, 13173, 873, 547, 20499, 952, 2877, 563, 275, 269, 2142, 3461, 543, 1875, 9080, 8540, 531, 281, 23046, 3217, 942, 267, 543, 882, 22663, 949, 2049, 2059, 519, 1259, 269, 13773, 8149, 547, 1373, 972, 585, 707, 3659, 2429, 741, 6051, 1184, 267, 5356, 26772, 1489, 543, 19015, 563, 276, 269, 6657, 1582, 13282, 281, 21278, 1489, 547, 513, 3659, 10010, 609, 1582, 3620, 1301, 666, 1491, 513, 17167, 593, 707, 1378, 1134, 5630, 269, 5269, 2386, 547, 4497, 538, 2834, 1582, 13282, 2853, 547, 2226, 707, 3929, 6043, 780, 1103, 1840, 547, 891, 2994, 267, 8220, 707, 3659, 609, 2200, 2966, 4481, 585, 1582, 3620, 1301, 15000, 666, 2417, 3986, 741, 6051, 1184, 269, 1284, 786, 2263, 1585, 1489, 5121, 2139, 538, 519, 1985, 3184, 780, 6637, 476, 275, 281, 10289, 8081, 17978, 585, 8682, 3620, 1301, 18984, 643, 832, 692, 19617, 2730, 3906, 543, 5867, 2291, 547, 1489, 1582, 3620, 1301, 15000, 593, 741, 4155, 547, 6051, 269, 6201, 1331, 2228, 2950, 267, 2199, 1489, 2516, 267, 543, 927, 680, 1149, 269, 6732, 15473, 971, 607, 678, 270, 1345, 327, 1301, 516, 11734, 593, 23749, 1711, 2922, 5624, 585, 2043, 547, 2671, 2833, 267, 4309, 15418, 267, 543, 1451, 1007, 1983, 585, 5883, 2712, 2471, 269, 10871, 1489, 2516, 6896, 676, 3906, 971, 607, 590, 6993, 12171, 9950, 10201, 2510, 1450, 15000, 547, 1921, 609, 1866, 6849, 2147, 9620, 267, 5807, 23274, 543, 17604, 269, 5047, 267, 20822, 927, 680, 1149, 899, 519, 2817, 2672, 8336, 10644, 17151, 5202, 630, 272, 268, 8517, 268, 24129, 6874, 3201, 298, 264, 4196, 607, 3407, 2200, 585, 7525, 6351, 1282, 8090, 540, 6433, 780, 6962, 281, 16871, 27919, 543, 3281, 6842, 538, 25417, 8682, 3620, 1301, 18984, 643, 832, 692, 8139, 1582, 3620, 1301, 543, 922, 1764, 593, 1762, 4079, 3340, 513, 7029, 547, 2069, 267, 6568, 267, 543, 8296, 269, 1635, 9301, 519, 9963, 4191, 540, 1582, 3620, 1301, 267, 3246, 1489, 547, 4299, 2828, 267, 543, 13057, 873, 2509, 3617, 2200, 267, 649, 666, 3565, 9797, 547, 741, 7067, 15322, 269, 3414, 5571, 14223, 3646, 543, 1930, 7391, 4478, 2790, 1072, 267, 649, 4126, 547, 1628, 513, 2486, 1141, 1169, 1367, 7959, 2938, 267, 4862, 267, 543, 12595, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1692, 666, 596, 1489, 513, 3659, 945, 1522, 723, 513, 2790, 1072, 4161, 286, 1548, 616, 930, 4191, 602, 789, 1522, 991, 1489, 286, 1548, 616, 930, 1919, 596, 666, 798, 286, 7316, 666, 596, 1265, 3063, 2959, 540, 1489, 865, 602, 596, 1810, 1406, 1205, 16397, 286, 1306, 513, 1762, 1268, 267, 621, 666, 581, 2182, 547, 1265, 3730, 4267, 547, 891, 2055, 269, 634, 1739, 4199, 689, 595, 4456, 295, 814, 1044, 2919, 676, 6107, 585, 6107, 267, 547, 2709, 930, 4267, 602, 1522, 960, 585, 596, 269, 1403, 596, 2461, 5461, 538, 1565, 811, 267, 1832, 2542, 563, 1432, 666, 2790, 1072, 2591, 1413, 899, 286, 1280, 1034, 540, 721, 267, 972, 616, 2053, 950, 649, 1522, 1745, 968, 4752, 892, 1765, 338, 611, 267, 14126, 267, 16944, 267, 18901, 267, 610, 19035, 267, 585, 1383, 269, 1452, 4664, 666, 4755, 547, 4896, 693, 2053, 269, 1809, 891, 5686, 540, 4606, 666, 1831, 513, 1966, 952, 789, 2063, 1932, 1279, 610, 1205, 538, 519, 1259, 540, 938, 3232, 2729, 269, 10076, 1072, 2591, 666, 1860, 4896, 269, 1358, 949, 1689, 875, 649, 1745, 267, 1589, 543, 957, 269, 1358, 949, 1256, 1860, 938, 2168, 1134, 5630, 269, 1452, 4191, 949, 581, 7298, 547, 824, 1004, 630, 3697, 2242, 538, 7180, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 4317, 11762, 1315, 28981, 1299, 8682, 6953, 1301, 1315, 18401, 12267, 543, 8081, 17978, 585, 8682, 6953, 1301, 18984, 643, 832, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 8073, 513, 10434, 9734, 5071, 585, 513, 9540, 6611, 692, 272, 269, 13760, 10434, 9734, 30927, 281, 6969, 4358, 267, 24559, 3054, 609, 10434, 9734, 900, 3187, 334, 3588, 267, 849, 1634, 607, 10434, 13377, 21417, 332, 610, 21785, 6537, 8142, 960, 269, 898, 3322, 9427, 16060, 689, 1256, 32734, 1511, 5958, 543, 19173, 532, 3270, 1210, 16560, 25573, 971, 607, 28822, 8803, 7161, 543, 2893, 514, 25573, 269, 12465, 10434, 9734, 3096, 3043, 10412, 8142, 593, 3043, 32028, 610, 1256, 933, 1511, 5958, 267, 855, 1745, 1863, 547, 4603, 609, 4778, 543, 2326, 1759, 593, 707, 13283, 780, 273, 269, 4643, 707, 1374, 281, 4595, 596, 1616, 547, 1711, 513, 10434, 9734, 4062, 5078, 585, 513, 1507, 2230, 899, 606, 7457, 800, 667, 16946, 5149, 630, 4696, 308, 1070, 2015, 8888, 1945, 11741, 2943, 3750, 2275, 10248, 269, 1411, 1522, 3442, 12166, 5546, 267, 27536, 18305, 267, 610, 824, 8766, 626, 6272, 2442, 538, 32090, 15312, 269, 2422, 3113, 1957, 610, 3301, 2645, 547, 17250, 707, 2856, 543, 5173, 2838, 2326, 780, 274, 269, 20283, 7727, 281, 1280, 707, 1788, 267, 3489, 891, 1898, 3688, 912, 453, 265, 4634, 933, 557, 5958, 281, 589, 5866, 12308, 610, 32028, 960, 1655, 282, 2327, 621, 814, 606, 3617, 1293, 829, 10759, 4470, 593, 707, 6074, 4806, 563, 453, 265, 21150, 5514, 2044, 19271, 281, 1744, 17369, 13795, 19271, 616, 4998, 563, 453, 265, 29158, 30927, 19568, 281, 26969, 707, 9053, 2681, 10325, 563, 453, 265, 2480, 19538, 281, 5901, 8325, 23805, 4481, 585, 5969, 5958, 543, 16060, 563, 453, 265, 24135, 12960, 13549, 281, 8838, 1308, 267, 1031, 585, 22805, 7475, 950, 18138, 563, 453, 265, 4460, 532, 1907, 281, 4826, 19729, 4050, 610, 15513, 786, 948, 4483, 707, 4806, 5196, 519, 5958, 563, 275, 269, 16259, 519, 5958, 281, 28392, 11547, 267, 3819, 267, 543, 4401, 707, 5958, 1354, 4098, 269, 2558, 574, 4430, 8728, 952, 2556, 267, 6028, 693, 2547, 476, 273, 6279, 1472, 707, 5497, 1374, 1858, 269, 18734, 519, 4806, 676, 5373, 7470, 6050, 543, 16287, 1808, 2798, 1141, 11912, 610, 2027, 25573, 2049, 269, 17677, 27902, 7403, 543, 6111, 2429, 713, 1184, 780, 276, 269, 12338, 543, 4894, 16060, 281, 11374, 707, 6825, 3515, 267, 2759, 8880, 543, 7299, 16060, 2687, 547, 707, 1374, 269, 2142, 18762, 711, 547, 535, 2001, 519, 6967, 16060, 1247, 3257, 865, 269, 2991, 1818, 782, 2556, 11912, 267, 9900, 7485, 856, 519, 6569, 16060, 689, 519, 19758, 728, 540, 519, 5958, 1510, 23892, 11105, 3283, 269, 24344, 10690, 22204, 593, 1312, 5011, 609, 25418, 610, 8214, 532, 25573, 780, 277, 269, 10670, 19173, 532, 281, 3399, 2324, 593, 11423, 8900, 5624, 2451, 1310, 5969, 16060, 269, 9524, 737, 331, 8803, 7161, 1101, 1107, 10945, 11303, 676, 2185, 7944, 25573, 269, 8921, 267, 8399, 609, 2893, 514, 25573, 2059, 8728, 543, 15174, 269, 5457, 547, 2226, 5812, 8082, 543, 1832, 707, 960, 28426, 6896, 269, 1306, 2877, 267, 5077, 2200, 610, 1491, 9397, 547, 2057, 1688, 8833, 780, 278, 269, 13159, 519, 1374, 281, 15566, 4946, 3606, 3877, 899, 3444, 25573, 267, 3943, 25418, 267, 610, 1394, 560, 9662, 2394, 707, 5888, 7959, 2347, 269, 5269, 2386, 1169, 3693, 20383, 7157, 543, 1264, 906, 2949, 10103, 269, 1403, 11941, 1831, 2556, 1282, 11056, 267, 1118, 873, 5402, 547, 8190, 7293, 8699, 780, 279, 269, 5685, 5109, 18953, 281, 4495, 13854, 609, 707, 5137, 267, 16013, 1055, 4430, 5958, 1472, 519, 6316, 269, 1284, 1511, 31629, 16060, 689, 1312, 4395, 543, 1394, 1210, 513, 13795, 13549, 269, 4964, 519, 8737, 4062, 21066, 896, 513, 14927, 12308, 547, 32135, 7298, 7436, 1500, 4505, 269, 7053, 267, 7406, 610, 4410, 707, 20100, 14013, 585, 4159, 1369, 707, 5084, 308, 780, 4415, 9639, 543, 11428, 267, 596, 1631, 4865, 513, 10875, 7435, 9734, 11247, 3501, 585, 740, 528, 940, 707, 18241, 2713, 20453, 269, 17949, 4687, 922, 5898, 543, 23477, 609, 8436, 3695, 707, 24617, 11231, 7457, 800, 667, 16946, 5149, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 476, 18458, 4149, 13645, 6363, 2393, 7457, 800, 667, 16946, 5149, 1772, 5029, 1242, 267, 7822, 995, 267, 543, 3807, 519, 9406, 12025, 585, 2290, 454, 4692, 1405, 5336, 1170, 5600, 570, 2293, 18135, 697, 547, 2659, 769, 7901, 454, 16605, 909, 609, 938, 5767, 2777, 19150, 1142, 3018, 1485, 609, 938, 5600, 12875, 540, 519, 4303, 20394, 454, 11243, 281, 12540, 344, 590, 563, 19613, 281, 6660, 342, 879, 330, 773, 267, 14822, 454, 13911, 540, 1753, 281, 7457, 800, 667, 16946, 5149, 630, 4696, 308, 994, 23917, 281, 476, 18458, 4009, 3952, 454, 312, 8986, 5030, 538, 281, 476, 273, 269, 276, 1296, 267, 10519, 532, 454, 307, 749, 721, 513, 2370, 630, 528, 513, 2603, 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 ]
[ 267, 20385, 26527, 30773, 476, 2420, 267, 11260, 476, 1789, 267, 21076, 476, 272, 267, 4905, 267, 5379, 277, 476, 273, 267, 6734, 267, 10711, 28294, 584, 476, 2641, 476, 4343, 476, 279, 3607, 476, 272, 267, 278, 2537, 13095, 22781, 476, 1626, 267, 29496, 476, 2420, 267, 13301, 19364, 476, 272, 267, 876, 267, 279, 8287, 23570, 476, 2918, 267, 280, 4391, 19364, 476, 3066, 269, 4343, 280, 476, 10019, 267, 15946, 14076, 553, 22474, 476, 1240, 267, 3199, 278, 476, 1724, 267, 6507, 278, 476, 7918, 267, 6858, 274, 476, 272, 267, 6021, 267, 24833, 31881, 330, 574, 476, 6507, 476, 275, 1240, 19364, 476, 272, 267, 271, 4200, 20474, 24385, 340, 476, 2764, 267, 277, 4649, 476, 272, 267, 3707, 476, 6078, 267, 278, 3445, 476, 272, 267, 866, 267, 274, 4200, 25676, 3120, 476, 272, 267, 2004, 279, 476, 29616, 476, 273, 267, 271, 4510, 476, 276, 267, 6858, 277, 31579, 541, 21423, 476, 272, 267, 5952, 267, 14689, 19364, 476, 274, 267, 6021, 267, 276, 1556, 476, 278, 267, 10463, 267, 280, 3199, 31579, 541, 752, 8518, 476, 1321, 267, 15996, 476, 273, 267, 6187, 278, 476, 4097, 269, 5392, 275, 476, 8618, 267, 3393, 273, 4639, 19377, 476, 1704, 267, 2568, 276, 476, 275, 267, 12739, 476, 866, 267, 278, 7830, 476, 7906, 267, 275, 2537, 2353, 268, 19328, 476, 276, 267, 6924, 267, 8687, 476, 274, 267, 5655, 267, 14991, 476, 1724, 267, 5038, 267, 15150, 476, 3066, 267, 2641, 267, 4343, 272, 11872, 2529, 290, 281, 2480, 1117, 27968, 595, 4292, 282, 5254, 281, 2480, 1117, 27968, 570, 11171, 282, 19364, 281, 711, 2139, 282, 2353, 268, 19328, 2882, 5515, 585, 772, 25629, 269, 17796, 281, 16237, 28517, 540, 7754, 577, 599, 1846, 538, 3127, 281, 24951, 8061, 1828, 2066, 2276, 267, 2506, 2869, 673, 10495, 476, 1001, 273, 268, 1724, 267, 4095, 4659, 540, 5398, 10029, 543, 12080, 540, 7754, 577, 599, 10620, 14076, 3896, 630, 10674, 2517, 4178, 269, 328, 760, 320, 3820, 23357, 270, 340, 22744, 18025, 21123, 599, 520, 318, 22563, 1828, 9078, 526, 1410, 318, 27751, 318, 476, 1001, 273, 268, 1724, 15005, 267, 15600, 593, 476, 279, 5181, 476, 1001, 274, 282, 8061, 1828, 547, 7754, 577, 599, 1846, 538, 3127, 281, 681, 21403, 23398, 5113, 693, 4427, 9539, 1049, 5426, 2073, 12080, 540, 7754, 577, 599, 10620, 14076, 543, 4095, 4659, 540, 5398, 10029, 267, 1715, 16156, 1040, 7305, 476, 273, 3557, 30150, 1160, 15251, 540, 5082, 539, 14662, 267, 5254, 543, 6468, 24929, 538, 7754, 577, 599, 1846, 630, 704, 1298, 264, 607, 593, 476, 272, 4728, 476, 1001, 274, 2276, 14662, 5254, 6468, 1656, 31137, 21423, 476, 1240, 269, 275, 476, 279, 269, 274, 476, 3451, 269, 276, 1488, 684, 778, 531, 21423, 19364, 476, 1911, 269, 271, 476, 6078, 269, 277, 2667, 600, 476, 276, 269, 271, 476, 274, 269, 274, 476, 3607, 269, 280, 4437, 9618, 476, 1626, 269, 274, 476, 271, 269, 279, 476, 2004, 269, 271, 932, 1002, 26385, 3258, 327, 476, 1321, 269, 275, 476, 2412, 269, 273, 476, 7918, 269, 276, 3619, 320, 19364, 476, 276, 269, 280, 476, 3953, 269, 274, 30899, 520, 476, 278, 269, 271, 476, 736, 269, 271, 476, 3451, 269, 271, 670, 776, 3570, 476, 2641, 269, 276, 19364, 476, 3607, 269, 276, 13924, 778, 531, 21423, 476, 2918, 269, 279, 476, 275, 269, 275, 476, 2004, 269, 272, 808, 2459, 340, 1299, 22758, 19364, 19364, 19364, 808, 327, 1046, 8518, 476, 1556, 269, 271, 476, 4097, 269, 272, 476, 6812, 269, 277, 21919, 31540, 476, 1240, 269, 277, 476, 1015, 269, 279, 476, 6246, 269, 277, 29242, 476, 275, 269, 276, 476, 271, 269, 277, 476, 7906, 269, 280, 8496, 27256, 21423, 476, 1428, 269, 272, 476, 2767, 269, 274, 476, 2004, 269, 276, 26527, 30773, 476, 1015, 269, 280, 476, 1691, 269, 280, 476, 5392, 269, 280, 28294, 584, 476, 272, 269, 273, 476, 273, 269, 273, 476, 4366, 269, 276, 13095, 22781, 476, 1626, 269, 273, 476, 2420, 269, 271, 476, 2004, 269, 271, 23570, 476, 3953, 269, 271, 19364, 476, 4097, 269, 280, 14076, 553, 22474, 476, 1704, 269, 273, 476, 1321, 269, 277, 476, 2004, 269, 271, 31881, 330, 574, 476, 278, 269, 271, 476, 4343, 269, 271, 476, 2004, 269, 271, 20474, 24385, 340, 476, 2190, 269, 271, 476, 272, 269, 271, 476, 3374, 269, 271, 25676, 3120, 476, 2918, 269, 277, 476, 276, 269, 275, 476, 3607, 269, 271, 31579, 541, 21423, 476, 2537, 269, 280, 19364, 476, 2412, 269, 271, 31579, 541, 752, 8518, 476, 866, 269, 280, 476, 274, 269, 275, 476, 6321, 269, 272, 4639, 19377, 476, 4097, 269, 273, 476, 279, 269, 272, 476, 4343, 269, 275, 2353, 268, 19328, 476, 866, 269, 275, 476, 1556, 269, 278, 476, 5379, 269, 278, 11872, 2529, 290, 281, 2480, 1117, 27968, 595, 4292, 282, 5254, 281, 2480, 1117, 27968, 570, 11171, 282, 19364, 281, 711, 2139, 282, 2353, 268, 19328, 2882, 5515, 585, 772, 25629, 269, 17796, 281, 16237, 28517, 540, 7754, 577, 599, 1846, 538, 3127, 281, 24951, 8061, 1828, 2066, 2276, 11783, 2506, 2869, 673, 10495, 267, 476, 1001, 273, 268, 1724, 267, 4095, 4659, 540, 5398, 10029, 543, 12080, 540, 7754, 577, 599, 10620, 14076, 3896, 1496, 10674, 2517, 4178, 269, 328, 760, 320, 3820, 23357, 270, 340, 22744, 18025, 21123, 599, 520, 318, 22563, 1828, 9078, 526, 1410, 318, 27751, 318, 476, 1001, 273, 268, 1724, 15005, 267, 15600, 593, 5181, 476, 1001, 274, 1916, 347, 7468, 5793, 7874, 25737, 270, 15062, 19478, 24720, 2008, 347, 26397, 10573, 32743, 27256, 21423, 4750, 540, 4317, 7070, 2008, 347, 14630, 10573, 13356, 476, 272, 267, 476, 1001, 278, 2008, 347, 28095, 9137, 10573, 294, 1090, 17939, 3873, 543, 17650, 531, 4886, 281, 2060, 3487, 7781, 13129, 547, 513, 22810, 538, 2480, 1117, 27968, 9351, 540, 8496, 27256, 21423, 8198, 347, 9202, 9137, 10573, 306, 665, 1470, 7232, 5677, 8177, 540, 631, 294, 301, 3918, 14899, 281, 5530, 538, 14520, 2276, 269, 347, 0, 9558, 3175, 543, 25037, 539, 6828, 4406, 9179, 540, 4317, 18067, 766, 18112, 550, 566, 630, 16256, 302, 278, 268, 1626, 27294, 264, 17361, 883, 10871, 5678, 563, 763, 1514, 17282, 3069, 1644, 2090, 723, 3144, 1454, 2956, 538, 519, 2361, 540, 1514, 6530, 269, 634, 1271, 4020, 540, 713, 3069, 1634, 607, 4317, 18067, 766, 18112, 550, 566, 630, 16256, 302, 264, 568, 4922, 1031, 538, 29622, 1644, 547, 1514, 6530, 269, 634, 17782, 1909, 540, 12676, 302, 729, 1336, 1713, 538, 2367, 781, 5114, 4724, 11509, 18349, 543, 4775, 14920, 1644, 10182, 269, 634, 20935, 3023, 1143, 543, 3661, 827, 29884, 1909, 540, 2021, 1898, 640, 547, 581, 5676, 1441, 941, 6045, 607, 18657, 2209, 630, 298, 11481, 267, 14878, 2125, 267, 1299, 4446, 869, 267, 476, 1001, 276, 1040, 634, 1909, 540, 12676, 302, 568, 2808, 513, 3532, 4020, 538, 17782, 954, 16766, 5615, 543, 8456, 269, 4014, 12676, 302, 1568, 607, 513, 1770, 776, 4020, 538, 1514, 3871, 267, 621, 5161, 540, 1079, 7516, 15545, 12676, 302, 5937, 543, 12676, 302, 7232, 269, 634, 13283, 547, 20441, 1866, 585, 930, 2516, 568, 1572, 12676, 302, 5937, 7631, 766, 267, 1247, 513, 13283, 585, 954, 16766, 1894, 2348, 1875, 268, 20235, 9107, 2623, 568, 1572, 12676, 302, 7232, 6549, 23540, 630, 295, 334, 1696, 620, 1421, 476, 1001, 273, 1040, 5637, 7516, 616, 27985, 9863, 998, 21205, 14496, 543, 6166, 2218, 3815, 267, 865, 789, 616, 1655, 30661, 540, 954, 16766, 4093, 630, 295, 334, 1696, 620, 1421, 476, 1001, 276, 1916, 763, 7681, 540, 12676, 302, 543, 14882, 729, 5941, 1247, 10223, 15796, 27408, 1084, 15070, 3084, 8155, 827, 2681, 4565, 785, 1145, 543, 18371, 1143, 630, 299, 5271, 514, 1696, 620, 1421, 476, 1001, 273, 1040, 634, 6547, 540, 4563, 543, 6519, 3409, 1218, 540, 7130, 949, 581, 1114, 6053, 10567, 676, 12676, 302, 269, 634, 2963, 5267, 519, 2856, 827, 741, 6547, 602, 789, 949, 4196, 513, 1909, 538, 4101, 610, 17923, 7292, 8635, 6606, 630, 4462, 30349, 9508, 267, 17451, 569, 267, 1299, 28066, 18824, 345, 267, 476, 1001, 275, 1916, 763, 8464, 593, 12676, 302, 2992, 519, 10182, 540, 2043, 2509, 519, 1808, 2796, 513, 1268, 568, 2348, 538, 2247, 1282, 12032, 540, 4336, 269, 589, 20902, 10066, 2509, 513, 15796, 1759, 593, 1895, 568, 6719, 676, 12676, 302, 269, 7102, 1808, 5528, 585, 5171, 3823, 12676, 302, 616, 711, 8200, 593, 2436, 547, 1589, 538, 2489, 827, 1978, 1895, 610, 711, 630, 298, 974, 1176, 267, 14208, 267, 1299, 28788, 534, 3780, 267, 476, 1001, 273, 1040, 634, 1199, 11868, 1909, 540, 12676, 302, 1063, 11572, 11122, 32236, 267, 519, 24677, 540, 4008, 1644, 27643, 20296, 1689, 267, 543, 5256, 1644, 11122, 32236, 729, 811, 2649, 1947, 25343, 630, 297, 2643, 3873, 267, 22616, 531, 267, 13019, 1090, 328, 267, 1299, 6660, 325, 2632, 267, 476, 1001, 277, 1916, 3519, 845, 640, 547, 24940, 8155, 543, 12676, 302, 10567, 811, 3023, 1143, 4724, 2021, 538, 2228, 3381, 3014, 5054, 630, 293, 2135, 1299, 19358, 267, 476, 1001, 275, 1040, 634, 1909, 540, 1514, 17282, 10066, 630, 16256, 302, 264, 607, 513, 27667, 540, 2367, 781, 6547, 547, 11509, 18349, 543, 8456, 4724, 4775, 14920, 269, 5565, 18657, 2209, 6045, 713, 2078, 281, 20935, 3023, 1143, 543, 519, 3661, 602, 29884, 2021, 991, 547, 581, 5676, 1441, 630, 298, 11481, 267, 14878, 2125, 267, 1299, 4446, 869, 267, 476, 1001, 276, 1040, 634, 15796, 15725, 2994, 616, 10630, 538, 2348, 19366, 856, 16766, 25476, 543, 11186, 21520, 540, 3084, 1644, 538, 31228, 630, 16675, 267, 1320, 1682, 523, 267, 28788, 534, 3780, 267, 853, 320, 17064, 548, 3299, 1299, 8000, 534, 2088, 267, 476, 1220, 280, 1916, 763, 1909, 540, 15019, 640, 1851, 9263, 2516, 540, 10708, 666, 581, 10567, 676, 12676, 302, 630, 9802, 324, 5060, 267, 476, 1001, 275, 1040, 9093, 607, 3379, 547, 2021, 2769, 2362, 2157, 540, 12676, 302, 269, 769, 713, 1259, 267, 12676, 302, 568, 2808, 607, 513, 4756, 540, 1367, 3604, 602, 2992, 1489, 585, 21376, 267, 21712, 1604, 1851, 2516, 269, 634, 4008, 3604, 538, 12676, 302, 616, 3812, 676, 519, 4317, 17282, 3069, 540, 4008, 543, 519, 6988, 540, 1514, 8410, 3667, 783, 4229, 630, 19913, 18283, 1299, 654, 9500, 267, 476, 1220, 280, 1916, 7628, 519, 1184, 540, 8144, 267, 519, 10409, 543, 12497, 1620, 540, 4336, 3688, 1590, 581, 9738, 630, 10481, 2358, 518, 267, 476, 1960, 275, 1040, 6969, 602, 519, 9542, 540, 6293, 1590, 581, 4570, 630, 293, 537, 611, 267, 476, 1960, 274, 1040, 9603, 547, 519, 3395, 6161, 540, 1514, 17282, 10066, 538, 1514, 6530, 1644, 2090, 267, 519, 3444, 14426, 14496, 543, 8144, 538, 1114, 4654, 991, 547, 581, 3964, 269, 1924, 267, 519, 1459, 1353, 729, 6131, 547, 24758, 543, 15268, 519, 1514, 17282, 4336, 883, 4013, 1893, 540, 9031, 1775, 4318, 269, 21460, 563, 763, 1459, 1353, 729, 5497, 547, 3715, 519, 14496, 540, 21460, 4528, 540, 12676, 302, 4336, 676, 519, 2079, 540, 2618, 6248, 3601, 269, 634, 4336, 729, 12261, 585, 519, 631, 24589, 5098, 547, 5031, 519, 1909, 540, 1514, 17282, 10066, 538, 27479, 532, 10182, 2509, 8004, 1126, 22888, 269, 634, 1239, 729, 6394, 689, 5771, 21171, 267, 519, 3854, 2749, 540, 9031, 269, 1677, 3715, 519, 2618, 6248, 3601, 540, 12261, 4336, 729, 519, 1292, 6161, 540, 1459, 1353, 269, 769, 1840, 547, 713, 267, 519, 4334, 539, 1895, 15418, 585, 590, 2464, 729, 849, 6045, 538, 6935, 609, 7516, 540, 12676, 302, 563, 763, 8144, 543, 9542, 540, 1514, 17282, 10066, 4336, 729, 849, 2556, 585, 3444, 2686, 6476, 540, 14882, 543, 25641, 2853, 269, 1924, 267, 519, 8144, 543, 3444, 14426, 21460, 4528, 540, 1459, 4336, 1590, 581, 2139, 585, 519, 3173, 540, 9031, 945, 1197, 949, 946, 621, 547, 2232, 519, 2152, 540, 7130, 543, 17282, 269, 634, 1353, 4553, 519, 1292, 6662, 971, 607, 912, 272, 269, 1677, 14377, 1514, 17282, 10066, 4336, 538, 547, 21460, 1893, 543, 3715, 2618, 6248, 3601, 538, 9031, 328, 2796, 563, 273, 269, 1677, 2697, 519, 4334, 539, 8739, 20300, 4567, 1895, 15418, 540, 4317, 18067, 766, 18112, 550, 566, 4336, 563, 763, 476, 7742, 13473, 10708, 630, 6795, 9038, 1299, 476, 4489, 8951, 264, 896, 519, 2085, 2039, 540, 476, 866, 268, 3374, 1296 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20821, 16114, 328, 6210, 2142, 529, 910, 589, 28042, 25817, 2439, 5970, 596, 2479, 16545, 2870, 707, 1378, 2575, 610, 4992, 286, 4270, 267, 602, 781, 1018, 938, 3659, 16114, 328, 6210, 2142, 529, 1281, 1169, 1554, 256, 16114, 328, 6210, 568, 606, 6909, 22459, 945, 14560, 3695, 1114, 2010, 540, 2575, 543, 4992, 7870, 269, 2913, 781, 1451, 811, 827, 1010, 4241, 3460, 2439, 20058, 267, 1577, 781, 1174, 1018, 16114, 328, 6210, 781, 2816, 10643, 1611, 1384, 265, 1290, 1842, 518, 281, 901, 568, 899, 1373, 606, 2278, 855, 585, 2575, 269, 3807, 899, 875, 5830, 1711, 2984, 1210, 1913, 267, 25803, 946, 7574, 4967, 547, 2995, 741, 8941, 269, 1358, 6430, 799, 7405, 1404, 267, 950, 789, 4283, 543, 14827, 519, 2773, 267, 543, 1256, 1374, 2189, 4992, 563, 265, 623, 1014, 626, 281, 1411, 1522, 723, 2938, 713, 6293, 1354, 1107, 621, 781, 519, 2462, 835, 609, 3109, 543, 3043, 10569, 256, 1306, 513, 32058, 626, 267, 16114, 328, 6210, 6487, 875, 547, 3142, 4190, 23964, 547, 1272, 676, 4730, 891, 10569, 563, 265, 23866, 5071, 518, 281, 5994, 8888, 519, 3501, 3280, 10177, 1188, 585, 513, 3381, 3014, 610, 7260, 6429, 269, 2334, 779, 4010, 1018, 606, 8301, 14704, 1281, 269, 1358, 4739, 1175, 519, 1318, 21089, 543, 26107, 547, 6474, 8726, 3308, 1650, 568, 8345, 593, 5496, 563, 265, 21277, 1356, 281, 6056, 540, 873, 607, 26423, 540, 519, 10916, 1184, 269, 1160, 3027, 619, 948, 12372, 2594, 741, 8964, 12347, 1247, 4180, 3388, 4992, 5863, 1927, 563, 265, 3203, 2065, 1763, 792, 7815, 281, 16114, 328, 6210, 15055, 18167, 2620, 883, 1585, 3344, 540, 1148, 543, 2528, 269, 1635, 4974, 824, 5159, 262, 1568, 543, 2553, 267, 646, 9060, 6667, 585, 1010, 13144, 543, 8843, 1010, 4681, 609, 1866, 780, 3086, 602, 649, 917, 1018, 16114, 328, 6210, 1281, 1577, 781, 1294, 1141, 646, 814, 3838, 1010, 15421, 1384, 265, 8535, 14080, 11040, 1299, 1763, 573, 4293, 281, 1452, 616, 19771, 1141, 1082, 5159, 2097, 1927, 547, 8661, 543, 2671, 741, 2648, 585, 2575, 269, 6884, 267, 16114, 328, 6210, 4991, 14376, 547, 2661, 972, 17303, 547, 12840, 609, 2199, 12372, 543, 960, 593, 1007, 3785, 563, 265, 11622, 908, 2060, 2037, 5145, 956, 281, 1323, 26254, 568, 3274, 513, 1895, 540, 12372, 4730, 1927, 269, 2368, 540, 519, 2516, 16114, 328, 6210, 814, 5249, 609, 20647, 538, 2413, 8106, 2575, 267, 1519, 12673, 267, 12798, 267, 25576, 15664, 267, 543, 9739, 780, 4131, 781, 1491, 513, 6251, 1413, 693, 930, 3579, 1919, 16114, 328, 6210, 814, 6913, 1384, 265, 654, 517, 1896, 26065, 585, 1010, 15885, 267, 1519, 3283, 689, 21586, 632, 13191, 10098, 267, 590, 14244, 6754, 334, 267, 16713, 267, 543, 1715, 3840, 4975, 269, 12736, 940, 17758, 1797, 602, 4966, 1589, 1010, 2575, 6763, 856, 1851, 782, 519, 824, 16805, 1004, 26446, 741, 4773, 1932, 2336, 265, 1234, 548, 1078, 2789, 11549, 4548, 15386, 1010, 3309, 2039, 540, 6163, 543, 7506, 269, 2290, 1383, 568, 834, 26536, 558, 2437, 5950, 538, 3567, 267, 10023, 14440, 1151, 657, 6273, 676, 2470, 267, 2230, 267, 543, 942, 269, 6271, 2487, 17581, 1572, 968, 30502, 8584, 1123, 892, 729, 2813, 609, 519, 2201, 31381, 6826, 529, 13660, 334, 267, 16471, 5907, 543, 17974, 2609, 563, 265, 2289, 1221, 2575, 5888, 543, 3069, 693, 6280, 1377, 269, 17652, 267, 16114, 328, 6210, 786, 2347, 1079, 4487, 781, 5232, 2519, 593, 1312, 1818, 543, 7421, 2575, 269, 901, 2182, 960, 2337, 1864, 1831, 606, 1256, 1732, 7376, 2439, 1103, 3932, 267, 16114, 328, 6210, 2142, 529, 5012, 606, 9058, 1272, 4904, 609, 5876, 543, 3408, 269, 3245, 6427, 532, 9159, 1623, 874, 23888, 547, 6721, 15138, 3280, 2833, 267, 646, 9727, 602, 2575, 666, 5963, 3560, 721, 9170, 649, 7287, 269, 5808, 6487, 1765, 16673, 2041, 14693, 9358, 1223, 1246, 538, 16114, 328, 6210, 781, 3723, 25074, 543, 7832, 2390, 707, 1360, 1378, 7574, 7045, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 21468, 6210, 2142, 529, 568, 606, 772, 745, 5174, 571, 7588, 1014, 21917, 267, 32058, 626, 267, 8301, 14704, 267, 16073, 267, 543, 7499, 11001, 269, 1261, 814, 15548, 538, 1007, 2575, 15976, 543, 4036, 1878, 538, 5698, 609, 679, 5145, 956, 971, 607, 519, 19382, 11076, 25679, 2037, 14517, 267, 1496, 18933, 3558, 349, 2037, 14517, 3910, 519, 667, 1853, 339, 2939, 334, 2037, 14517, 630, 3951, 1070, 543, 631, 11170, 537, 715, 10933, 269, 769, 8478, 267, 519, 2107, 26810, 571, 632, 595, 5889, 3405, 320, 13005, 595, 573, 1228, 632, 4354, 527, 756, 320, 267, 2037, 14517, 25429, 23759, 1092, 267, 2037, 14517, 631, 6759, 321, 850, 267, 31763, 16587, 5696, 553, 559, 10005, 267, 772, 300, 273, 308, 302, 623, 2075, 15664, 267, 2107, 26810, 571, 2083, 1301, 20110, 333, 3821, 13005, 772, 293, 11266, 267, 2107, 26810, 571, 20221, 12476, 632, 590, 641, 549, 632, 4354, 527, 756, 320, 267, 543, 2372, 842, 16587, 590, 641, 549, 276, 269, 30410, 8240, 543, 25926, 1331, 519, 30619, 2862, 8342, 27525, 2398, 2946, 332, 1470, 632, 1290, 1842, 328, 23843, 1849, 5451, 1087, 3821, 630, 305, 1470, 632, 13191, 10098, 1070, 10001, 645, 1329, 531, 631, 14243, 338, 3821, 14208, 16660, 267, 519, 16429, 638, 1030, 1752, 23531, 15356, 538, 476, 1708, 272, 267, 543, 808, 19272, 31763, 564, 781, 808, 19272, 22456, 476, 1708, 273, 563, 2026, 513, 1685, 518, 267, 2142, 529, 814, 6592, 22221, 11549, 4548, 7856, 18368, 267, 16113, 834, 26536, 558, 257, 630, 297, 3253, 769, 4820, 332, 5593, 269, 4532, 267, 476, 1001, 277, 1070, 543, 5063, 834, 30502, 8584, 1123, 257, 609, 519, 2201, 31381, 6826, 529, 13660, 334, 269, 769, 476, 1708, 274, 2142, 529, 786, 10927, 609, 513, 5595, 4487, 781, 538, 2575, 5888, 543, 3069, 693, 519, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 519, 4241, 1158, 540, 27532, 4915, 256, 1411, 1522, 581, 11842, 1018, 602, 1797, 269, 4270, 267, 4952, 952, 649, 1223, 1265, 513, 1259, 547, 948, 938, 4703, 12115, 2933, 1732, 543, 5488, 950, 649, 1205, 10413, 610, 7210, 269, 2334, 781, 4010, 1018, 3173, 616, 3843, 547, 798, 998, 27532, 4915, 269, 4653, 267, 1577, 781, 1451, 827, 835, 3579, 1505, 789, 2811, 3695, 1107, 1210, 938, 1360, 1378, 3170, 5160, 2439, 2791, 4440, 917, 602, 707, 1560, 814, 1082, 1114, 2010, 540, 2281, 267, 1142, 3257, 922, 2816, 547, 1832, 596, 2635, 269, 2368, 2281, 1118, 909, 707, 6091, 267, 1866, 1106, 707, 7633, 267, 1247, 930, 1711, 707, 2960, 269, 21452, 267, 972, 616, 2027, 2281, 1572, 834, 980, 2281, 257, 1336, 2429, 519, 1560, 602, 666, 2981, 883, 1585, 5686, 540, 2281, 1759, 593, 1141, 789, 616, 2877, 269, 901, 5863, 2702, 2636, 873, 547, 3565, 547, 7067, 543, 31811, 8031, 780, 3086, 267, 1934, 2501, 519, 4277, 851, 269, 12207, 723, 4362, 602, 1978, 2127, 540, 938, 1560, 2270, 2362, 9830, 540, 891, 5363, 6565, 2281, 3379, 547, 1866, 269, 2290, 971, 1747, 568, 938, 3170, 5160, 256, 8786, 267, 596, 4862, 621, 1318, 1107, 3170, 5160, 3884, 1405, 1175, 972, 547, 4558, 3063, 1648, 282, 621, 2965, 4249, 513, 1909, 538, 4543, 721, 9156, 689, 7063, 269, 1452, 6565, 2281, 267, 799, 2097, 689, 3170, 5160, 267, 616, 1419, 5219, 547, 607, 1520, 760, 846, 5937, 518, 1882, 3204, 17654, 19204, 630, 4696, 305, 12336, 6393, 3383, 1946, 1413, 585, 6565, 2281, 538, 3170, 3079, 540, 824, 4025, 899, 5642, 20768, 286, 4279, 2243, 256, 898, 7140, 856, 602, 3478, 6565, 2281, 689, 3170, 568, 1454, 4443, 543, 1447, 12362, 982, 16276, 873, 689, 5642, 20768, 269, 15310, 666, 581, 15600, 998, 513, 1507, 5650, 267, 6466, 10655, 6565, 2281, 689, 5642, 20768, 2356, 3340, 17656, 883, 519, 12048, 14752, 269, 5047, 267, 2090, 2303, 602, 3170, 3568, 5111, 476, 273, 267, 4335, 2053, 811, 6565, 2281, 829, 6121, 982, 5642, 20768, 256, 5994, 875, 3532, 602, 1223, 581, 538, 8156, 7063, 610, 3676, 780, 5629, 891, 5084, 305, 12336, 616, 6394, 267, 789, 991, 547, 581, 9268, 5402, 1354, 1373, 1031, 585, 3797, 269, 12824, 8415, 513, 3926, 1572, 519, 22966, 1081, 10378, 3590, 547, 5965, 513, 3575, 540, 891, 3407, 2281, 3533, 543, 7561, 269, 2991, 4393, 267, 713, 7848, 540, 5084, 305, 12336, 568, 4712, 547, 581, 2322, 1394, 883, 519, 1482, 1268, 781, 1560, 547, 5351, 538, 7067, 8697, 8031, 267, 8497, 3252, 267, 7393, 519, 2298, 540, 1272, 267, 543, 1256, 23646, 1524, 2068, 11144, 269, 1215, 15813, 568, 602, 2496, 1103, 5758, 267, 27532, 4915, 568, 606, 6909, 2361, 602, 11394, 2081, 547, 5818, 938, 2067, 7067, 3157, 269, 1635, 2519, 593, 519, 1379, 540, 5084, 305, 12336, 6508, 689, 938, 3170, 5160, 267, 7189, 4126, 547, 1020, 1007, 5574, 585, 7063, 543, 10108, 269, 5808, 6487, 267, 6148, 14693, 4166, 267, 9683, 519, 4387, 786, 4125, 10655, 930, 540, 707, 1378, 15705, 6565, 2281, 547, 4339, 1055, 8726, 513, 2812, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 12682, 9461, 8426, 10657, 12814, 568, 585, 3329, 1049, 946, 538, 519, 2136, 2276, 563, 290, 12682, 9461, 568, 3384, 1591, 11257, 602, 10244, 519, 2189, 10305, 540, 2713, 2281, 602, 616, 1459, 538, 606, 2937, 1480, 3461, 779, 1378, 28539, 846, 630, 325, 520, 264, 5160, 267, 849, 1634, 607, 1520, 760, 846, 5937, 518, 1882, 3204, 17654, 19204, 630, 4696, 305, 12336, 1040, 7261, 339, 9461, 8426, 10657, 568, 519, 7104, 2012, 2016, 547, 519, 4195, 267, 26945, 2551, 540, 5084, 305, 12336, 5423, 609, 519, 28106, 22966, 1081, 10378, 3590, 3760, 2029, 543, 13950, 547, 513, 3461, 585, 513, 1808, 2068, 610, 2564, 2783, 267, 782, 1369, 513, 2582, 1554, 912, 290, 12682, 9461, 8426, 10657, 568, 2966, 547, 7816, 13676, 5160, 267, 8190, 1599, 267, 2087, 2298, 540, 1272, 267, 543, 12189, 2068, 11144, 563, 310, 14176, 2475, 292, 4888, 22723, 670, 9331, 3198, 13698, 2316, 7728, 24912, 744, 310, 301, 5084, 7709, 5308, 292, 570, 3041, 306, 16604, 888, 24357, 5974, 543, 3744, 723, 7152, 519, 4908, 540, 6565, 2281, 538, 28539, 846, 630, 325, 520, 264, 5160, 547, 581, 476, 273, 267, 4335, 2053, 3152, 982, 519, 4908, 540, 2147, 2281, 538, 5642, 20768, 269, 272, 267, 273, 267, 274, 4329, 267, 28539, 846, 630, 325, 520, 264, 5160, 666, 581, 811, 3362, 6394, 982, 5642, 20768, 3842, 513, 1159, 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, 8080, 547, 938, 3408, 540, 6237, 5986, 538, 519, 2136, 2276, 256, 4653, 267, 649, 3513, 1491, 513, 17705, 7552, 547, 835, 540, 3013, 781, 1034, 4583, 4872, 910, 15740, 267, 4092, 538, 519, 5664, 9533, 1533, 540, 12425, 269, 1284, 3513, 1451, 827, 513, 8949, 8670, 602, 814, 1831, 24190, 609, 713, 2749, 281, 519, 11599, 5845, 569, 29380, 652, 324, 752, 2439, 5575, 267, 1577, 781, 4952, 6000, 6972, 1524, 519, 11112, 10754, 540, 15740, 267, 1634, 12725, 607, 834, 4942, 11035, 2437, 1141, 1426, 21527, 616, 1989, 3739, 1945, 1360, 2027, 269, 1306, 649, 1246, 519, 5023, 22476, 9329, 267, 649, 3605, 1279, 20061, 4904, 609, 6094, 569, 30000, 2848, 752, 267, 24268, 10381, 267, 1094, 583, 2946, 539, 19637, 267, 543, 3006, 18717 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8470, 607, 519, 12751, 10456, 269, 634, 12751, 10456, 6585, 11889, 1852, 936, 519, 4238, 543, 12602, 540, 519, 10966, 7040, 563, 298, 12436, 7040, 540, 2561, 324, 1023, 454, 763, 7040, 540, 2561, 324, 1023, 568, 17857, 685, 13591, 813, 749, 622, 5480, 269, 898, 20362, 22587, 689, 519, 10588, 30271, 538, 3540, 543, 7803, 6927, 4849, 538, 8320, 1141, 606, 9029, 8813, 538, 519, 12600, 16278, 540, 519, 10966, 7040, 563, 5591, 1007, 8062, 616, 4371, 538, 519, 7040, 540, 2561, 324, 1023, 585, 22587, 540, 10588, 7040, 3664, 269, 634, 16488, 1152, 2689, 519, 4693, 2594, 689, 519, 10588, 30271, 267, 2854, 5618, 338, 689, 519, 3238, 6105, 267, 543, 5873, 5711, 7440, 540, 519, 27192, 8204, 519, 6105, 563, 2467, 616, 476, 1691, 16488, 538, 519, 17857, 7040, 540, 2561, 324, 1023, 269, 27418, 616, 3335, 4862, 676, 513, 8470, 540, 1614, 16488, 543, 3006, 679, 536, 4545, 267, 602, 568, 267, 676, 519, 3003, 476, 1691, 2173, 1897, 2319, 563, 297, 644, 2471, 540, 519, 17857, 7040, 540, 2561, 324, 1023, 616, 12912, 547, 3355, 2185, 4458, 2474, 676, 519, 17135, 609, 519, 9844, 540, 519, 1533, 14130, 269, 1358, 949, 581, 17477, 547, 4196, 513, 2417, 2185, 4458, 2165, 952, 3811, 538, 513, 1857, 8917, 269, 634, 10966, 7040, 3651, 338, 835, 540, 519, 476, 1691, 16488, 547, 4196, 607, 12751, 25960, 540, 519, 7040, 540, 2561, 324, 1023, 563, 298, 12436, 10588, 30271, 454, 298, 12436, 10588, 30271, 616, 519, 4693, 10470, 540, 2489, 16278, 538, 519, 1533, 269, 17857, 568, 5258, 883, 476, 4029, 16324, 13102, 543, 513, 10588, 7040, 4092, 538, 1142, 10315, 269, 10588, 30271, 616, 10470, 540, 2594, 543, 723, 16278, 936, 782, 3540, 543, 7803, 2665, 269, 7201, 17857, 4031, 267, 10588, 30271, 616, 17101, 547, 2689, 3664, 540, 519, 27391, 531, 30271, 269, 4256, 16278, 3382, 2665, 971, 607, 912, 268, 23582, 1894, 6927, 454, 268, 28100, 17015, 454, 268, 11525, 622, 543, 7245, 540, 1609, 919, 454, 268, 15050, 2103, 4721, 543, 11122, 2209, 4721, 454, 268, 10076, 1072, 454, 268, 19565, 6927, 454, 268, 9540, 6811, 630, 1575, 547, 1269, 275, 267, 1822, 994, 2467, 616, 1079, 5686, 540, 16488, 538, 519, 10588, 30271, 282, 10588, 7225, 2471, 543, 10588, 7395, 626, 3433, 16488, 269, 10588, 7395, 626, 3433, 7225, 2471, 616, 711, 2838, 547, 581, 17864, 855, 723, 16278, 936, 7803, 3765, 12047, 6756, 832, 267, 11174, 6927, 267, 2625, 622, 6927, 267, 543, 6808, 19374, 269, 1358, 666, 1694, 593, 16861, 5873, 902, 543, 21991, 1903, 538, 7803, 21688, 23888, 269, 634, 7395, 626, 3433, 7225, 2471, 849, 2671, 16278, 609, 10588, 7225, 2471, 538, 1978, 3540, 6927, 563, 19284, 10588, 7395, 626, 3433, 7225, 2471, 945, 723, 3908, 16278, 267, 10588, 7225, 2471, 666, 5873, 782, 2010, 540, 2665, 1369, 519, 2949, 1641, 2173, 2660, 16278, 540, 519, 10588, 7040, 269, 1358, 616, 2838, 547, 581, 8036, 538, 1876, 543, 616, 17101, 547, 2689, 3664, 540, 10588, 7395, 626, 3433, 7225, 2471, 563, 763, 10966, 7040, 6966, 338, 513, 10588, 25960, 607, 12751, 25960, 585, 1142, 16324, 8664, 269, 634, 12751, 9794, 4249, 513, 19217, 800, 1909, 936, 11889, 543, 804, 518, 673, 4247, 540, 519, 10470, 538, 519, 16324, 8664, 269, 634, 12751, 25960, 849, 4249, 513, 4105, 1909, 538, 519, 15518, 566, 540, 2665, 1369, 519, 8664, 563, 298, 12436, 27391, 531, 30271, 454, 298, 12436, 27391, 531, 30271, 616, 10470, 540, 3908, 16278, 269, 634, 13664, 16278, 540, 891, 10470, 1152, 6227, 519, 2749, 267, 4884, 267, 610, 29109, 1141, 789, 616, 13883, 269, 4256, 1641, 2339, 22875, 616, 3622, 5532, 547, 19374, 540, 2749, 3921, 514, 1734, 269, 1358, 6023, 2665, 971, 607, 912, 268, 23582, 5208, 267, 667, 310, 3674, 22230, 308, 3674, 454, 268, 29853, 1102, 10330, 454, 268, 5244, 532, 1102, 10330, 454, 7212, 27391, 531, 7040, 2665, 616, 4862, 1510, 513, 21139, 267, 606, 1055, 2658, 949, 1869, 581, 6719, 676, 606, 18607, 269, 1323, 4903, 7205, 5428, 949, 9029, 513, 27391, 531, 7040, 3375, 547, 519, 10588, 7040, 538, 519, 10315, 1141, 519, 27391, 531, 7040, 568, 4092, 563, 298, 12436, 1281, 711, 2154, 27391, 531, 7040, 16488, 547, 581, 17864, 269, 1717, 267, 1346, 945, 616, 711, 17864, 616, 2838, 547, 581, 14468, 676, 519, 17857, 10966, 7040, 269, 17857, 27391, 531, 7040, 16488, 616, 2838, 547, 2347, 476, 1724, 3108, 540, 11173, 3656, 2069, 12422, 269, 589, 27391, 531, 7040, 9794, 568, 17101, 547, 6966, 606, 18607, 610, 1022, 824, 11727, 1367, 547, 17303, 957, 538, 741, 8669, 538, 8320, 1141, 789, 3112, 581, 1459, 585, 5480, 18659, 563, 1432, 616, 2561, 324, 1023, 543, 7040, 7799, 1080, 538, 17857, 888, 2304, 9029, 3322, 513, 21936, 547, 513, 2362, 5480, 547, 2689, 519, 10385, 610, 1931, 1500, 676, 513, 2539, 5480, 9794, 269, 634, 1318, 540, 6105, 547, 18659, 547, 9029, 3664, 689, 2539, 10470, 2337, 547, 1832, 16488, 18177, 269, 634, 2362, 5480, 8159, 606, 9029, 786, 2953, 6959, 676, 519, 4693, 9794, 538, 519, 3375, 6194, 1184, 267, 952, 1022, 269, 1323, 9029, 1184, 2356, 5956, 609, 519, 25937, 540, 513, 18564, 540, 2561, 7002, 269, 5384, 569, 25937, 540, 513, 18564, 540, 2561, 7002, 568, 11758, 12302, 269, 15380, 267, 621, 1590, 581, 6039, 593, 782, 6105, 547, 513, 2013, 267, 1519, 519, 2539, 5480, 267, 519, 2362, 5480, 267, 543, 519, 15852, 6105, 269, 1717, 267, 17528, 547, 4196, 782, 6105, 7255, 1281, 711, 1860, 519, 14496, 540, 606, 9029, 563, 1103, 513, 7803, 9029, 585, 513, 6760, 8149, 593, 610, 1310, 5147, 476, 272, 267, 476, 1960, 274, 267, 513, 24769, 703, 2056, 547, 21936, 585, 513, 2689, 538, 17857, 267, 1590, 3758, 513, 18564, 540, 2561, 7002, 1369, 476, 1691, 2395, 689, 519, 5711, 24969, 618, 540, 4845, 538, 519, 10588, 7040, 269, 17857, 14998, 1312, 519, 24769, 543, 519, 3557, 547, 3758, 606, 9029, 1996, 513, 22576, 4845, 269, 634, 3557, 814, 909, 547, 476, 1789, 2395, 547, 9029, 513, 22576, 4845, 269, 17857, 10470, 5431, 1978, 17756, 547, 9029, 942, 7182, 269, 1452, 2291, 950, 606, 30724, 550, 24769, 729, 912, 268, 3502, 5483, 540, 519, 1318, 547, 9029, 454, 268, 3502, 7677, 1639, 606, 18607, 547, 3635, 602, 1318, 454, 268, 30166, 1639, 606, 18607, 945, 8959, 547, 3501, 543, 2347, 606, 9029, 454, 1103, 513, 3540, 9029, 267, 513, 18564, 540, 2561, 7002, 1590, 581, 19429, 1369, 476, 1789, 2395, 689, 519, 7127, 540, 10385, 269, 634, 9868, 547, 713, 4341, 10039, 547, 606, 1931, 6966, 532, 610, 32222, 547, 6966, 513, 17513, 269, 17857, 23616, 12885, 513, 476, 1691, 6377, 6885, 585, 971, 3871, 269, 8074, 602, 606, 7127, 540, 10385, 4386, 950, 513, 4760, 7127, 610, 10385, 1106, 568, 19429, 269, 589, 10385, 568, 1152, 2500, 950, 513, 4760, 7127, 610, 10385, 1106, 568, 9896, 676, 519, 9794, 543, 19429, 609, 519, 804, 17064, 540, 519, 10588, 7040, 269, 17857, 1281, 711, 5431, 4693, 546, 12714, 3764, 610, 9794, 781, 4967, 607, 606, 7127, 540, 10385, 269, 7102, 18564, 540, 2561, 7002, 19429, 1310, 519, 5711, 24969, 618, 540, 3803, 10385, 855, 1354, 519, 25937, 540, 513, 4760, 7127, 568, 16363, 513, 16349, 18564, 540, 2561, 7002, 269, 898, 1152, 3587, 2500, 2390, 519, 25937, 540, 519, 4760, 7127, 563, 288, 10588, 781, 7040, 10137, 540, 519, 942, 585, 519, 25937, 540, 513, 18564, 540, 2561, 7002, 949, 711, 9765, 476, 1789, 2395, 689, 519, 1163, 19418, 540, 519, 3312, 942, 585, 25937, 519, 18564, 2390, 519, 6881, 540, 2300, 20608, 10714, 563, 298, 12436, 14998, 1978, 2022, 339, 7434, 20517, 547, 8831, 519, 942, 585, 25937, 513, 18564, 540, 2561, 7002, 952, 971, 20517, 616, 19429, 1369, 476, 2764, 2395, 540, 7127, 540, 10385, 269, 1452, 2010, 540, 20517, 3247, 519, 4881, 540, 9029, 942, 543, 2253, 519, 4783, 538, 922, 30810, 593, 519, 4266, 540, 519, 7127, 540, 519, 1931, 15194, 593, 519, 2022, 2389, 7434, 5163, 269, 1677, 1900, 519, 4881, 942, 593, 606, 9029, 267, 513, 2022, 2389, 7434, 5163, 1590, 581, 835, 540, 519, 1739, 912, 268, 589, 5163, 585, 10385, 711, 5976, 9227, 519, 2357, 18743, 454, 268, 589, 5163, 547, 18985, 610, 1118, 3606, 4681, 540, 1249, 454, 268, 589, 5163, 585, 513, 1007, 4693, 454, 268, 589, 5163, 547, 7369, 610, 18985, 519, 10385, 454, 4913, 267, 513, 5163, 585, 8323, 689, 10385, 610, 1931, 585, 804, 518, 673, 9073, 267, 538, 30541, 775, 267, 2300, 20608, 10714, 267, 9983, 267, 12611, 267, 610, 9241, 4362, 2963, 1281, 711, 8831, 519, 942, 585, 25937, 513, 18564, 540, 2561, 7002, 563, 1103, 3908, 2962, 3540, 22587, 267, 1141, 513, 2013, 729, 5462, 676, 513, 8664, 4012, 626, 3433, 9794, 945, 568, 711, 13931, 547, 2259, 1876, 538, 17857, 267, 519, 18564, 540, 2561, 7002, 689, 519, 8664, 4012, 626, 3433, 9794, 781, 3375, 1590, 581, 19429, 538, 519, 10588, 7040, 1369, 476, 1691, 2395, 540, 519, 7127, 540, 519, 1931, 269, 2991, 519, 15194, 676, 519, 10588, 7040, 267, 513, 18564, 540, 2561, 7002, 547, 519, 7040, 540, 2561, 324, 1023, 1590, 581, 19429, 711, 2663, 982, 476, 1789, 2395, 1310, 519, 7127, 540, 519, 10588, 7040, 781, 1931, 267, 15194, 267, 610, 10385, 269, 17857, 14998, 606, 9868, 952, 513, 24769, 568, 13267, 606, 2962, 585, 585, 24862, 1033, 664, 518, 26587, 1964, 3191, 540, 519, 22402, 269, 769, 602, 8797, 267, 513, 18564, 540, 2561, 7002, 1590, 581, 19429, 1369, 5722, 2395, 540, 519, 7127, 540, 10385, 269, 634, 17857, 10966, 7040, 30374, 30615, 666, 948, 3096, 1265, 1699, 1344, 593, 27192, 13931, 538, 17857, 563, 288, 476, 1691, 6377, 6885, 10039, 585, 519, 25937, 540, 513, 18564, 540, 2561, 7002, 538, 11174, 6927, 971, 607, 538, 1022, 9029, 1996, 606, 1931, 540, 10151, 26692, 267, 7755, 644, 1709, 267, 29916, 267, 543, 4466, 540, 4652, 5893, 540, 26694, 540, 15366, 2924, 269, 769, 713, 2013, 267, 519, 9029, 568, 1500, 547, 519, 10588, 7040, 543, 519, 1931, 4300, 4705, 1590, 723, 1044, 9411, 676, 513, 4012, 626, 3433, 9794, 945, 568, 711, 13931, 547, 2259, 1876, 538, 17857, 269, 634, 18564, 540, 2561, 7002, 689, 513, 10588, 7040, 1590, 581, 19429, 1369, 476, 1789, 2395, 563, 1692, 1684, 594, 4855, 3733, 8865, 7089, 538, 17857, 888, 288, 2013, 1297, 568, 513, 3982, 1297, 8655, 547, 513, 5480, 2013, 269, 898, 568, 3730, 538, 8159, 519, 1032, 519, 2013, 729, 19429, 267, 519, 5480, 602, 17411, 519, 2013, 267, 543, 1018, 2186, 540, 2013, 621, 568, 269, 9314, 539, 7606, 666, 1265, 513, 2013, 1297, 538, 17857, 676, 3246, 519, 2012, 540, 513, 5428, 547, 519, 2013, 593, 519, 17857, 10588, 7040, 5398, 7457, 5800, 531, 610, 519, 2561, 749, 622, 30271, 9612, 5800, 531, 269, 589, 2013, 1297, 666, 849, 581, 1336, 676, 9683, 519, 2199, 1330, 628, 1787, 1141, 519, 2594, 568, 19429, 269, 8074, 602, 513, 22194, 3406, 13927, 10039, 585, 3246, 713, 3028, 538, 17857, 10470, 269, 10588, 7040, 6753, 538, 17857, 616, 3177, 593, 519, 16324, 7936, 781, 3896, 454, 19111, 2338, 616, 3833, 5363, 585, 1312, 1270, 22246, 543, 2594, 8169, 617, 2103, 538, 9477, 543, 13844, 5480, 2013, 6119, 16425, 563, 9989, 17857, 15579, 22647, 2558, 10118, 888, 8133, 269, 11374, 267, 519, 3557, 540, 28155, 17073, 16672, 676, 17857, 17135, 267, 23718, 23765, 267, 538, 3210, 547, 9672, 2665, 540, 519, 27649, 538, 519, 1533, 267, 519, 12751, 10456, 540, 519, 17857, 10966, 7040, 9783, 8556, 13577, 11352, 476, 1708, 271, 6261, 305, 268, 271, 3393, 2278, 1944, 519, 946, 540, 1079, 17574, 5907, 8301, 23724, 783, 2792, 538, 1022, 5480, 23312, 538, 519, 1533, 269, 7201, 713, 11352, 267, 1898, 267, 1875, 268, 24207, 267, 543, 1022, 6712, 540, 513, 5480, 23312, 267, 1519, 782, 7803, 267, 11174, 1055, 2658, 267, 3540, 267, 2625, 622, 267, 1126, 538, 991, 540, 1416, 267, 610, 824, 18659, 896, 519, 16278, 540, 17857, 10588, 30271, 610, 813, 749, 622, 10470, 949, 782, 581, 5342, 20716, 269, 0, 290, 7973, 9242, 6275, 267, 513, 12316, 3059, 10697, 1362, 267, 814, 3144, 519, 2883, 1158, 676, 7088, 269, 11670, 267, 21578, 267, 543, 513, 16221, 540, 824, 19116, 723, 711, 1152, 9676, 519, 9345, 540, 9520, 855, 723, 849, 6659, 2629, 2055, 827, 9562, 269, 769, 713, 5816, 2022, 267, 649, 786, 5490, 883 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 32101, 540, 667, 754, 3234, 619, 585, 519, 9615, 540, 29956, 15302, 454, 20082, 291, 754, 3234, 619, 616, 3075, 6765, 1949, 602, 616, 6353, 676, 513, 1614, 8820, 267, 5182, 11057, 267, 4839, 3481, 5672, 668, 12817, 3060, 269, 1358, 4865, 4998, 3601, 971, 607, 1970, 4874, 4134, 11825, 640, 4994, 267, 1979, 24899, 6312, 2225, 543, 1434, 1216, 32610, 269, 1358, 616, 1500, 909, 540, 519, 9703, 543, 519, 16538, 6106, 269, 634, 16538, 4494, 5161, 540, 6198, 2516, 602, 616, 3730, 585, 17788, 566, 540, 5061, 543, 13389, 4779, 29136, 269, 634, 9703, 4494, 15225, 4824, 3075, 20206, 1637, 4398, 267, 4389, 3075, 17219, 267, 543, 6417, 5305, 6127, 269, 1452, 2189, 3601, 1118, 873, 3730, 585, 3075, 6765, 269, 667, 754, 3234, 619, 723, 13631, 9645, 3007, 607, 3075, 6765, 1062, 585, 519, 2126, 540, 11763, 3676, 269, 634, 2126, 540, 11763, 3676, 568, 554, 2086, 1229, 16094, 676, 3075, 4187, 269, 11153, 3601, 540, 27765, 3234, 619, 971, 607, 741, 2702, 547, 7753, 3075, 4187, 267, 17219, 543, 1852, 519, 5305, 7271, 540, 519, 20206, 4327, 5061, 1118, 873, 4998, 1949, 585, 519, 2126, 540, 11763, 2068, 269, 634, 2832, 540, 713, 2689, 568, 547, 1865, 519, 30372, 540, 27765, 3234, 619, 585, 519, 2126, 540, 10194, 543, 26220, 5563, 269, 7348, 9509, 6874, 2169, 454, 18704, 1299, 25737, 901, 9137, 454, 300, 25632, 342, 520, 11986, 267, 2098, 5919, 589, 1457, 756, 580, 2041, 267, 645, 6993, 269, 13335, 540, 667, 754, 3234, 619, 585, 519, 9615, 540, 29956, 15302, 269, 631, 26163, 476, 1001, 279, 267, 476, 2537, 267, 476, 13136, 276, 563, 300, 25632, 342, 520, 11986, 2098, 267, 589, 1457, 756, 580, 2041, 22601, 269, 13335, 540, 667, 754, 3234, 619, 585, 519, 9615, 540, 29956, 15302, 269, 631, 26163, 269, 476, 1001, 279, 282, 476, 2537, 263, 280, 2567, 13136, 276, 269, 2419, 8522, 20081, 12350, 1014, 13910, 454, 300, 25632, 342, 520, 11986, 267, 2098, 663, 850, 282, 589, 1457, 756, 580, 2041, 267, 645, 1652, 532, 589, 269, 476, 1001, 279, 269, 834, 32101, 540, 667, 754, 3234, 619, 585, 519, 9615, 540, 29956, 15302, 1701, 631, 26163, 476, 2537, 267, 1100, 269, 476, 280, 281, 476, 13136, 276, 563, 9616, 602, 689, 519, 1101, 3390, 540, 476, 1001, 277, 267, 631, 7894, 296, 13746, 946, 2376, 2338, 3079, 540, 2985, 2338, 269, 6423, 2417, 3877, 1934, 269, 0, 298, 1157, 11034, 707, 476, 276, 4458, 1544, 281, 6732, 1576, 454, 5804, 1631, 2394, 476, 4029, 560, 5412, 267, 513, 1582, 28129, 2228, 4528, 540, 938, 918, 1157, 11034, 22544, 596, 666, 7119, 538, 20471, 267, 9170, 269, 7427, 938, 476, 274, 3268, 547, 23722, 31383, 707, 6437, 609, 18671, 788, 11781, 267, 513, 476, 276, 4458, 2462, 2093, 1544, 547, 12366, 1047, 782, 1053, 685, 9740, 543, 8404, 269, 3245, 519, 2319, 3297, 519, 589, 304, 288, 23794, 274, 3163, 28924, 16086, 563, 6701, 596, 3168, 585, 513, 2462, 2093, 267, 17117, 1565, 6437, 286, 2107, 513, 17396, 476, 276, 4458, 1544, 286, 14348, 596, 899, 547, 4693, 782, 519, 2326, 1354, 1818, 513, 7029, 888, 6635, 7666, 2406, 519, 1034, 1271, 1689, 596, 666, 1118, 568, 547, 18534, 1901, 707, 6437, 1472, 1883, 2035, 543, 3621, 3206, 1983, 910, 519, 1898, 1543, 602, 10741, 909, 2362, 9344, 693, 23722, 269, 23560, 713, 12374, 596, 942, 547, 4001, 2035, 538, 3178, 865, 602, 811, 1053, 666, 8011, 267, 543, 2337, 1053, 3314, 519, 5013, 1732, 676, 8220, 873, 547, 8273, 2093, 563, 1692, 798, 596, 1628, 513, 476, 276, 4458, 1544, 286, 1656, 1018, 2242, 547, 3450, 543, 4879, 616, 2877, 888, 298, 1157, 11034, 707, 476, 276, 4458, 1544, 568, 606, 2228, 1576, 2966, 547, 948, 596, 2936, 707, 1378, 2462, 2093, 6437, 267, 1759, 593, 519, 5943, 543, 3741, 649, 723, 2919, 630, 21406, 18671, 788, 11781, 1040, 898, 781, 513, 4999, 540, 2228, 7044, 267, 2238, 543, 4901, 269, 634, 2228, 1576, 849, 2882, 3450, 543, 4879, 2326, 585, 596, 547, 12681, 835, 5729, 476, 278, 1523, 269, 898, 781, 1256, 1732, 952, 596, 9192, 621, 609, 938, 3068, 3562, 3068, 8862, 3311, 7749, 563, 763, 1576, 568, 19658, 676, 25414, 15593, 13871, 543, 519, 9457, 344, 3163, 2319, 267, 945, 2966, 519, 23794, 274, 3163, 28924, 16086, 585, 589, 304, 288, 563, 27077, 498, 8682, 28129, 3381, 543, 1257, 2861, 1565, 2238, 454, 27077, 498, 5680, 21577, 593, 1883, 2152, 454, 27077, 498, 2422, 20471, 2394, 1439, 540, 5412, 454, 27077, 498, 918, 1157, 11034, 13088, 547, 6467, 547, 513, 2462, 2093, 6437, 454, 27077, 498, 5131, 3450, 1299, 4879, 2326, 585, 835, 1032, 476, 278, 1523, 454, 2521, 856, 519, 3450, 540, 476, 272, 5729, 476, 278, 1523, 1210, 519, 18671, 788, 11781, 1935, 912, 268, 30868, 540, 1565, 543, 3610, 3391, 454, 268, 2776, 12431, 20156, 543, 2689, 454, 268, 21733, 790, 267, 15233, 543, 8890, 572, 2238, 454, 268, 26616, 7688, 454, 268, 5681, 332, 894, 4879, 454, 268, 6732, 7044, 547, 2491, 519, 10124, 454, 268, 5680, 14373, 547, 1246, 5346, 6388, 454, 2791, 666, 2628, 676, 5491, 3556, 267, 610, 676, 1045, 4069, 270, 3832, 4302, 563, 5629, 8569, 568, 1500, 267, 543, 519, 1576, 814, 3323, 267, 596, 786, 581, 2016, 519, 2845, 1231, 547, 1569, 782, 519, 1576, 2326, 543, 5717, 269, 0, 1607, 1808, 9768, 7160, 568, 4867, 711, 2139, 24707, 782, 12215, 540, 713, 9768, 7160, 912, 4263, 519, 4295, 540, 1022, 4901, 540, 2069, 630, 528, 4376, 585, 602, 2339, 264, 29084, 513, 4909, 2243, 268, 25531, 585, 1018, 3483, 286, 19331, 731, 1018, 1439, 616, 649, 18997, 1453, 286, 769, 519, 1034, 4359, 6082, 538, 519, 1158, 2069, 958, 630, 297, 3253, 267, 14135, 267, 3624, 267, 543, 538, 519, 2250, 25472, 1070, 519, 1034, 1271, 2609, 540, 2257, 267, 2979, 267, 543, 4702, 9740, 568, 519, 1062, 781, 1797, 540, 8404, 267, 1184, 543, 1543, 540, 6765, 267, 543, 27564, 3741, 269, 17553, 909, 3979, 12140, 4107, 2907, 917, 649, 991, 938, 1378, 3506, 689, 918, 268, 1321, 547, 1912, 6185, 269, 3979, 4359, 2528, 630, 22372, 538, 6805, 10340, 9551, 775, 1070, 13919, 267, 543, 4294, 2257, 269, 1284, 2307, 543, 2626, 519, 1034, 1271, 2055, 540, 3979, 27380, 543, 3872, 3483, 281, 4065, 585, 1018, 286, 1215, 568, 1702, 11843, 286, 1548, 568, 519, 1034, 2500, 27160, 2310, 1797, 540, 12419, 21141, 1543, 547, 1762, 5640, 286, 1215, 1281, 835, 1451, 286, 1548, 616, 519, 3450, 2409, 540, 938, 11937, 543, 875, 666, 789, 581, 2413, 1242, 8276, 770, 1229, 585, 3498, 538, 713, 1974, 286, 17564, 11762, 281, 15099, 543, 4354, 14152, 10049, 267, 13419, 1005, 4804, 267, 12861, 513, 4804, 6611, 267, 4591, 2065, 4804, 267, 3092, 269, 898, 568, 1134, 3964, 602, 950, 835, 1281, 4376, 267, 8259, 835, 17358, 875, 547, 798, 621, 267, 922, 1894, 547, 824, 1919, 267, 543, 519, 1900, 676, 1900, 5773, 540, 12032, 267, 835, 786, 711, 917, 875, 547, 798, 621, 267, 610, 786, 711, 581, 2111, 547, 798, 621, 1134, 269, 1284, 1397, 519, 5467, 875, 547, 10891, 3979, 12140, 281, 5729, 268, 19925, 267, 10432, 754, 267, 7991, 267, 2991, 1153, 3292, 267, 543, 14400, 563, 257, 27675, 18462, 257, 949, 4866, 547, 1776, 7160, 540, 713, 2140, 563, 9349, 13517, 476, 1001, 276, 269, 16448, 281, 1715, 269, 1433, 269, 590, 11839, 22802, 1948, 631, 6021, 279, 26605, 3393, 275, 277, 0, 17098, 19839, 334, 4728, 531, 476, 272, 264, 589, 1395, 611, 568, 1945, 899, 513, 9997, 267, 547, 799, 513, 4630, 684, 1529, 639, 568, 7923, 269, 5274, 1208, 684, 1529, 4926, 723, 6457, 267, 4743, 543, 1560, 267, 3662, 543, 5310, 10448, 1395, 6758, 1152, 723, 4743, 543, 1560, 267, 543, 4703, 540, 2339, 1152, 723, 519, 1560, 15652, 269, 2353, 616, 2808, 547, 581, 9800, 563, 1103, 2489, 594, 1131, 2161, 602, 513, 1395, 611, 568, 513, 851, 1652, 267, 9678, 267, 1367, 1523, 2347, 2614, 547, 2099, 519, 3961, 540, 513, 1351, 335, 648, 531, 1560, 269, 898, 568, 6885, 1652, 543, 3976, 9420, 543, 24835, 762, 540, 1373, 19500, 593, 610, 957, 593, 824, 1395, 6758, 269, 1924, 621, 568, 9420, 543, 12809, 269, 4014, 891, 4162, 1131, 3100, 547, 1118, 513, 1395, 611, 4666, 543, 24631, 267, 621, 568, 538, 1249, 9800, 543, 568, 1373, 11179, 8242, 676, 519, 18678, 1395, 611, 267, 799, 568, 782, 3766, 797, 267, 782, 27703, 995, 543, 9631, 23036, 2615, 269, 634, 2165, 834, 3000, 611, 257, 814, 1044, 1031, 538, 683, 6955, 26293, 1143, 267, 28594, 739, 6291, 267, 2780, 5752, 267, 543, 1256, 538, 7061, 11707, 269, 1452, 782, 1611, 15186, 1114, 1919, 267, 4352, 538, 782, 540, 891, 267, 834, 3000, 611, 257, 4016, 29101, 547, 834, 821, 257, 610, 834, 684, 3202, 1701, 1280, 513, 2489, 6609, 1294, 5291, 2517, 523, 25769, 3820, 28293, 270, 12507, 611, 1108, 2274, 30519, 714, 781, 4528, 267, 799, 594, 946, 267, 15320, 10169, 689, 891, 543, 568, 2352, 547, 1174, 1317, 646, 1281, 711, 2285, 513, 13801, 4214, 602, 568, 2347, 267, 855, 2864, 3947, 922, 476, 9032, 4162, 538, 1010, 1395, 611, 1108, 281, 5291, 2517, 4178, 269, 3405, 343, 1235, 3820, 270, 10915, 2397, 4882, 889, 915, 270, 874, 3342, 4451, 270, 4103, 270, 613, 270, 548, 30519, 714, 21867, 1411, 786, 4063, 602, 1142, 8984, 5205, 25401, 689, 519, 3105, 835, 269, 8298, 5974, 3277, 547, 513, 1395, 611, 607, 513, 2347, 1523, 267, 2495, 602, 621, 568, 513, 20790, 609, 782, 519, 32252, 919, 2877, 547, 5693, 5581, 621, 269, 3962, 1395, 611, 814, 513, 10518, 540, 834, 704, 8526, 257, 799, 2992, 519, 11994, 540, 519, 7122, 540, 1395, 6758, 689, 602, 1395, 611, 781, 1448, 540, 2070, 602, 616, 2965, 9715, 543, 5293, 593, 11179, 676, 519, 1395, 611, 540, 1395, 6758, 269, 1411, 1522, 1589, 540, 891, 607, 519, 1648, 2829, 540, 513, 1395, 611, 269, 476, 273, 264, 634, 1395, 611, 849, 814, 513, 10518, 540, 834, 1952, 564, 2572, 2580, 799, 596, 1522, 1589, 540, 922, 1761, 7287, 610, 786, 269, 9747, 700, 781, 4704, 547, 519, 24323, 9763, 14031, 607, 1863, 786, 269, 14755, 519, 12608, 2572, 267, 519, 1395, 611, 849, 814, 606, 4835, 1648, 2707, 269, 23011, 1849, 965, 267, 678, 743, 334, 1862, 287, 591, 714, 517, 14492, 476, 280, 270, 3066, 270, 1001, 273, 834, 20288, 591, 568, 513, 1279, 942, 267, 2523, 2282, 519, 1439, 1701, 910, 24841, 344, 19395, 476, 955, 268, 25547, 1516, 519, 1739, 1543, 476, 955, 268, 3245, 281, 19839, 334, 4728, 531, 25547, 1853, 281, 3388, 2000, 626, 5384, 281, 476, 1001, 273, 268, 6021, 268, 2764, 267, 476, 1015, 281, 876, 281, 3953, 13595, 281, 1234, 281, 9210, 760, 1156, 1580, 16117, 630, 13195, 281, 1234, 281, 19839, 334, 781, 31777, 656, 264, 2201, 476, 2764, 9484, 476, 1001, 273, 267, 693, 476, 1556, 281, 6321, 267, 23011, 1849, 965, 5206, 281, 3436, 19743, 19839, 334, 4728, 531, 543, 782, 267, 689, 2274, 30519, 714, 781, 1448, 540, 2070, 281, 3436, 3436, 476, 272, 264, 5131, 786, 568, 2009, 609, 700, 781, 15002, 1143, 952, 3989, 3436, 538, 519, 1739, 1259, 281, 952, 519, 1395, 611, 12034, 519, 14031, 267, 3436, 1287, 519, 2962, 568, 1863, 786, 269, 1403, 711, 267, 711, 269, 594, 1131, 723, 1767, 602, 713, 568, 5191, 267, 711, 1863, 786, 269, 1677, 581, 21473, 322, 267, 594, 1869, 1810, 1405, 917, 875, 547, 4612, 834, 3000, 611, 2668, 3436, 3436, 476, 273, 264, 3117, 4109, 1145, 1281, 711, 10836, 689, 2339, 267, 2334, 781, 17396, 609, 12985, 1143, 269, 3436, 621, 3436, 568, 513, 834, 995, 326, 3130, 257, 540, 519, 2353, 630, 1492, 1395, 611, 540, 1395, 6758, 1070, 3436, 547, 946, 700, 781, 2165, 269, 594, 1589, 602, 1797, 900, 10698, 267, 711, 2386, 269, 3436, 17460, 568, 2760, 538, 2347, 1852, 267, 6862, 616, 519, 1395, 6758, 267, 3436, 6862, 538, 1249, 568, 519, 2353, 269, 15528, 269, 3436, 700, 781, 1757, 566, 568, 18756, 269, 3436, 634, 1395, 611, 540, 1395, 6758, 5526, 547, 2014, 2242, 267, 855, 621, 666, 1152, 3436, 798, 865, 2687, 547, 519, 1395, 6758, 262, 11994, 267, 2687, 3436, 547, 741, 1367, 13821, 267, 1317, 1395, 6758, 616, 19448, 26327, 3436, 676, 824, 1395 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7008, 540, 4277, 2081, 269, 3619, 5851, 7345, 568, 519, 5023, 540, 519, 4053, 638, 1662, 5211, 267, 835, 540, 1079, 19093, 547, 9677, 1014, 7345, 540, 519, 7297, 602, 22132, 538, 1325, 12455, 23936, 5244, 543, 2095, 998, 30073, 24499, 630, 1492, 824, 568, 519, 9855, 5211, 1040, 769, 1250, 12031, 267, 594, 1521, 3619, 5851, 607, 519, 7262, 1034, 6316, 540, 513, 1804, 1979, 648, 326, 542, 1298, 1042, 593, 519, 30073, 24499, 5211, 24659, 269, 594, 4769, 1406, 2263, 519, 1909, 540, 3621, 1382, 267, 855, 2542, 998, 707, 2022, 814, 803, 3206, 811, 827, 519, 1082, 6106, 540, 1686, 693, 3619, 5851, 563, 1103, 1840, 547, 782, 519, 2081, 602, 3619, 5851, 13352, 883, 519, 2239, 540, 31935, 9677, 1014, 7345, 267, 799, 1849, 18311, 23720, 12909, 827, 538, 1200, 1433, 1744, 9464, 676, 519, 4639, 6489, 267, 3619, 5851, 849, 6039, 607, 513, 22045, 547, 543, 689, 30073, 24499, 630, 10481, 3073, 1014, 7345, 11570, 2760, 899, 547, 16153, 741, 2673, 4296, 609, 30073, 24499, 1107, 20994, 1849, 18311, 1916, 296, 22821, 1406, 1634, 602, 519, 2244, 585, 519, 8496, 1177, 10939, 11833, 1185, 1044, 12349, 689, 519, 667, 8656, 267, 855, 3619, 5851, 6157, 729, 606, 1271, 3135, 585, 519, 932, 2089, 1168, 320, 540, 2142, 9476, 1961, 559, 3689, 13780, 269, 3733, 14077, 666, 3314, 4466, 6149, 10068, 27490, 9843, 538, 519, 25610, 540, 519, 32119, 269, 2142, 9476, 1961, 559, 6512, 2818, 1131, 723, 6170, 942, 1142, 5614, 543, 2887, 693, 4609, 1472, 3619, 5851, 1818, 946, 540, 519, 3165, 8255, 269, 3245, 3619, 5851, 267, 6512, 2818, 4797, 25318, 547, 10122, 11182, 538, 30073, 24499, 543, 1018, 2968, 1325, 12455, 23936, 5244, 269, 1656, 594, 729, 5461, 547, 1451, 602, 26181, 6162, 693, 3619, 5851, 8179, 547, 2061, 6512, 2818, 689, 9683, 547, 6133, 13492, 267, 2094, 713, 2259, 4797, 585, 693, 2547, 1776, 1079, 610, 1614, 5756, 2417, 25318, 538, 30073, 24499, 269, 1703, 779, 1454, 811, 547, 713, 1650, 267, 543, 594, 6557, 27278, 563, 7661, 267, 594, 1131, 1448, 856, 602, 519, 2012, 2048, 7883, 5851, 685, 568, 513, 1587, 540, 922, 30073, 24499, 4296, 269, 5463, 3547, 1354, 519, 8496, 1177, 10939, 11833, 543, 519, 1382, 6728, 267, 2845, 10256, 4547, 7372, 12566, 20743, 19654, 689, 30073, 24499, 547, 14200, 2059, 9677, 1014, 7345, 269, 4495, 519, 20743, 1185, 1044, 9447, 267, 891, 2367, 1131, 2048, 2998, 1753, 10200, 2290, 1984, 267, 30073, 24499, 24759, 267, 1175, 5045, 540, 3619, 5851, 593, 519, 18582, 5459, 5211, 267, 2759, 476, 279, 269, 276, 2929, 4604, 3952, 538, 476, 6942, 272, 269, 589, 1906, 1296, 2663, 267, 538, 476, 6942, 276, 267, 519, 5313, 2229, 535, 1441, 519, 2754, 585, 3850, 4718, 706, 560, 547, 2800, 3165, 7226, 563, 296, 3323, 547, 751, 848, 856, 930, 540, 891, 4296, 538, 476, 1001, 272, 950, 13343, 1849, 858, 867, 543, 594, 666, 334, 539, 689, 30073, 24499, 547, 3619, 5851, 269, 594, 9709, 593, 1818, 513, 1079, 12268, 9910, 1673, 17805, 776, 827, 938, 7552, 543, 782, 519, 1686, 602, 13462, 30073, 24499, 543, 3619, 5851, 269, 594, 1152, 7307, 547, 1205, 519, 1101, 851, 2944, 2507, 2659, 2022, 814, 6273, 803, 547, 1205, 519, 2034, 851, 1500, 2336, 12552, 585, 891, 8292, 543, 7422, 269, 1849, 18311, 267, 519, 2243, 540, 875, 2257, 949, 723, 8329, 547, 3619, 5851, 7345, 779, 968, 2246, 5782, 30008, 892, 1131, 581, 513, 4241, 835, 547, 11654, 269, 594, 4898, 952, 26181, 6162, 2479, 1031, 519, 6728, 547, 4410, 2470, 24713, 344, 3292, 585, 519, 1453, 945, 6170, 28782, 972, 286, 12448, 267, 609, 7247, 594, 4076, 1044, 7234, 519, 8496, 1177, 10939, 11833, 936, 519, 2063, 1896, 4374, 267, 1522, 723, 930, 2959, 593, 713, 256, 594, 1589, 519, 26181, 6162, 20888, 519, 13492, 2443, 1175, 711, 519, 5993, 1651, 2720, 542, 540, 4703, 2507, 901, 17250, 1175, 29565, 2583, 519, 2627, 543, 3340, 811, 1382, 267, 543, 811, 2959, 269, 1656, 12448, 267, 952, 13343, 3884, 1406, 2139, 267, 1287, 6148, 594, 1223, 1694, 538, 519, 6367, 10160, 585, 851, 1079, 540, 519, 3460, 267, 799, 596, 1058, 9090, 2347, 269, 0, 23763, 547, 1118, 513, 2318, 1764, 547, 707, 10450, 269, 11916, 18162, 15829, 540, 20482, 596, 519, 4316, 547, 948, 8103, 676, 2921, 851, 538, 938, 1382, 338, 543, 17634, 269, 2659, 2533, 786, 581, 1134, 30039, 543, 15422, 607, 596, 616, 3257, 513, 3028, 547, 707, 2486, 269, 3807, 3643, 938, 3896, 547, 1265, 856, 811, 827, 1018, 649, 798, 543, 875, 649, 798, 621, 610, 596, 666, 1289, 721, 693, 476, 272, 268, 279, 4510, 268, 5379, 277, 268, 5379, 278, 274, 547, 1205, 538, 5905, 609, 721, 5612, 269, 1280, 811, 3877, 3643, 938, 3896, 912, 19547, 1254, 10613, 540, 5046, 268, 866, 13281, 269, 4985, 281, 5046, 268, 866, 676, 568, 2808, 607, 835, 540, 519, 7887, 5774, 12515, 540, 519, 2486, 563, 2005, 7475, 519, 6228, 540, 6634, 540, 2043, 543, 621, 568, 607, 2943, 4929, 8429, 779, 2066, 519, 1158, 269, 634, 1292, 4368, 568, 2469, 547, 4549, 2218, 13080, 1310, 610, 1354, 519, 22371, 540, 519, 3968, 269, 1717, 267, 875, 1522, 596, 1205, 547, 917, 2436, 610, 711, 596, 616, 1373, 512, 20557, 286, 4595, 1978, 2043, 616, 1098, 1602, 1562, 540, 519, 3968, 5046, 268, 866, 543, 1397, 1100, 2427, 2360, 676, 1022, 12701, 540, 519, 9345, 269, 4165, 3394, 25095, 1328, 13281, 634, 3732, 540, 519, 3461, 814, 1044, 32585, 689, 519, 6213, 3461, 269, 19738, 13281, 898, 568, 1031, 547, 2697, 519, 10194, 10717, 538, 519, 3732, 563, 2467, 568, 606, 11747, 1634, 607, 9258, 13973, 848, 610, 5027, 29920, 799, 2337, 538, 519, 18643, 540, 10717, 543, 3940, 269, 700, 8632, 10046, 18873, 269, 21826, 13044, 268, 866, 568, 519, 5153, 547, 5269, 713, 2622, 24295, 5131, 1107, 16593, 11916, 3194, 5487, 269, 634, 2262, 4028, 568, 899, 513, 2262, 602, 568, 12758, 609, 519, 524, 10604, 268, 866, 3644, 1317, 519, 3644, 568, 6385, 10299, 689, 835, 1268, 547, 1896, 1004, 563, 763, 4028, 6771, 16404, 806, 519, 6082, 602, 789, 1590, 1020, 4028, 13044, 268, 866, 4152, 543, 1310, 519, 1646, 540, 519, 6669, 519, 4028, 13044, 268, 866, 12674, 269, 1879, 519, 6855, 3459, 519, 4028, 524, 10604, 268, 866, 729, 519, 1034, 1271, 1317, 693, 602, 942, 713, 729, 519, 1152, 1259, 547, 3247, 519, 6771, 540, 519, 3644, 269, 2991, 519, 1646, 540, 513, 6669, 267, 519, 4028, 524, 10604, 268, 866, 12674, 568, 519, 1259, 602, 2306, 519, 3644, 6954, 269, 2311, 519, 1439, 540, 476, 1708, 271, 1797, 538, 519, 3923, 540, 5412, 267, 519, 524, 10604, 268, 866, 12674, 814, 1044, 9516, 543, 4847, 585, 4028, 524, 10604, 268, 866, 12674, 547, 1205, 856, 689, 713, 6855, 1158, 602, 5540, 1142, 543, 1169, 1367, 269, 3767, 621, 814, 1044, 5176, 835, 1032, 540, 519, 1646, 540, 12674, 855, 1256, 1310, 519, 835, 1032, 267, 519, 1004, 723, 930, 10701, 340, 885, 1317, 1256, 1310, 519, 2347, 12674, 1004, 616, 7318, 1351, 7431, 2318, 563, 12024, 713, 281, 21826, 5131, 5046, 268, 866, 13281, 14033, 11968, 13353, 1299, 8381, 1633, 22193, 269, 11916, 3194, 11968, 13353, 563, 3963, 2564, 1382, 568, 1271, 286, 2433, 970, 318, 276, 3199, 279, 5038, 272, 2443, 14970, 22711, 269, 634, 1164, 2298, 540, 2564, 1416, 649, 2972, 2221, 568, 3710, 2390, 1296, 540, 4674, 676, 13500, 267, 10629, 1606, 2615, 1235, 267, 12854, 338, 267, 543, 824, 2564, 4648, 14236, 519, 3123, 540, 543, 1761, 5574, 585, 2068, 563, 763, 12483, 1652, 4674, 540, 891, 4648, 814, 1500, 1082, 2899, 1272, 18446, 3676, 543, 2175, 1175, 513, 3965, 269, 1717, 267, 972, 568, 1869, 1454, 960, 547, 581, 2944, 269, 29362, 3177, 676, 2564, 1382, 2221, 9153, 547, 24390, 519, 1764, 540, 938, 6574, 1072, 2042, 267, 1519, 3987, 267, 2860, 267, 543, 2295, 2068, 269, 1306, 2257, 5170, 547, 19586, 519, 7636, 25029, 602, 20690, 2068, 267, 649, 786, 1294, 7096, 2242, 538, 519, 1935, 547, 5574, 269, 1879, 13538, 610, 2486, 1489, 2564, 1382, 267, 789, 616, 4543, 547, 1628, 519, 2104, 540, 4915, 269, 7089, 540, 2564, 1382, 723, 3366, 547, 1713, 8906, 267, 519, 1646, 540, 1007, 11257, 267, 543, 513, 7415, 6454, 538, 1072, 1416, 543, 1857, 1072, 269, 16593, 11916, 3194, 5487, 630, 327, 2100, 30570, 516, 14142, 264, 593, 2349, 13709, 990, 514, 685, 2859, 982, 476, 274, 2929, 1004, 538, 519, 2136, 2276, 616, 1634, 547, 723, 1044, 1219, 6150, 609, 16568, 17336, 268, 273, 269, 272, 1403, 1169, 6514, 19801, 593, 4791, 339, 7434, 338, 269, 979, 341, 607, 540, 4571, 11219, 2317, 10742, 922, 3804, 5542, 267, 896, 476, 275, 260, 540, 1346, 17251, 547, 723, 13044, 268, 866, 786, 723, 1044, 6074, 513, 19747, 267, 6417, 4909, 607, 649, 723, 2938, 693, 5131, 13044, 268, 866, 4152, 2282, 803, 543, 596, 563, 8601, 1776, 2068, 538, 2596, 991, 540, 3254, 6527, 267, 1169, 1620, 711, 6035, 27350, 538, 606, 3330, 543, 856, 11231, 267, 513, 2603, 540, 22755, 1353, 9607, 513, 536, 2426, 1194, 4316, 547, 4434, 24534, 1239, 267, 1118, 8383, 908, 10850, 267, 543, 6038, 2087, 1416, 585, 1169, 2582, 1268, 945, 786, 2097, 2786, 2476, 269, 28518, 519, 1585, 28780, 8984, 538, 513, 3209, 5533, 6932, 593, 713, 4336, 3340, 513, 2647, 1930, 630, 663, 1472, 519, 1158, 264, 29194, 1062, 269, 9453, 621, 267, 4791, 9694, 5306, 543, 1808, 2259, 25819, 1831, 519, 5748, 585, 22466, 3652, 540, 1416, 269, 13044, 476, 866, 4152, 269, 4595, 11452, 3459, 922, 19856, 656, 3262, 267, 649, 4312, 7444, 2097, 547, 1451, 827, 519, 14845, 5044, 540, 2139, 4152, 3681, 693, 7189, 262, 13646, 543, 1072, 1416, 6703, 1765, 28236, 1759, 593, 22024, 543, 1866, 602, 946, 19975, 610, 1973, 563, 2467, 616, 4867, 1079, 3119, 2010, 540, 5046, 268, 866, 4255, 281, 10368, 4255, 602, 1413, 585, 3742, 11452, 3968, 538, 707, 22024, 610, 19975, 267, 543, 1973, 4255, 602, 6968, 585, 12489, 1765, 5271, 2064, 602, 707, 4761, 1062, 814, 11402, 519, 3968, 1354, 269, 634, 1318, 1449, 267, 1287, 267, 5673, 593, 519, 3804, 267, 971, 607, 30260, 606, 3742, 5046, 3968, 282, 7114, 28105, 610, 840, 1606, 2096, 24840, 2043, 945, 1522, 581, 17766, 3644, 267, 610, 8159, 2436, 2576, 5892, 1185, 5046, 269, 1703, 568, 711, 513, 19157, 4152, 1935, 602, 568, 2469, 547, 2743, 1169, 991, 543, 4194, 1169, 1966, 269, 6301, 569, 972, 616, 1079, 1826, 540, 524, 10604, 4255, 2356, 9053, 585, 3644, 281, 769, 1034, 2665, 267, 513, 1072, 1416, 8502, 786, 2445, 22024, 689, 707, 9224, 610, 11563, 1210, 513, 7463, 2220, 629, 563, 3918, 25807, 290, 4785, 31064, 5508, 631, 19075, 19419, 292, 24086, 674, 3722, 6579, 14510, 1107, 16593, 11916, 3194, 5487, 269, 769, 930, 4610, 267, 1382, 568, 16601, 543, 596, 3112, 11716, 519, 5013, 602, 6436, 616, 4986, 1510, 4052, 563, 1103, 519, 2361, 540, 2564, 267, 621, 568, 2556, 602, 1169, 1900, 1058, 581, 8810, 269, 1703, 616, 1082, 5383, 540, 2564, 1382, 9744, 543, 930, 540, 873, 616, 7396, 2630, 281, 6481, 1382, 666, 2285, 596, 2417, 3877, 547, 979, 883, 1985, 1377, 269, 1703, 616, 5266, 1906, 3370, 2090, 827, 3750, 1416, 538, 3384, 2477, 267, 543, 1133, 924, 1280, 590, 697, 7512, 782, 13538, 547, 2015, 3384, 513, 1382, 1353, 547, 3565, 1271, 1702, 547, 519, 3750, 1416, 2146, 593, 513, 2518, 4336, 269, 623, 2720, 5224, 513, 1382, 1788, 786, 581, 513, 4101, 543, 14785, 1995, 267, 543, 713, 4316, 6087, 596, 547, 11654, 606, 538, 3829, 3312, 1353, 827, 513, 1888, 540, 1719, 269, 4270, 5342, 2564, 1382, 9744, 568, 4105, 547, 519, 1967, 540, 2518, 646, 987, 18129, 563, 12024, 713, 281, 18040, 2969, 4959, 5990, 21614, 4041, 5508, 5046, 476, 866, 570, 2464, 16249, 269, 13044, 476, 866, 4152, 540, 1004, 945, 723, 1044, 538, 3346, 609, 1866, 945, 723, 513, 13006, 3968, 568, 849, 1271, 563, 288, 2942, 1449, 1281, 711, 1611, 596, 616, 538, 519, 2312, 282, 596, 1223, 1831, 11763, 2663, 269, 4475, 267, 1256, 952, 596, 1449, 2942, 267, 596, 991, 547, 3136, 547, 2149, 3054, 543, 1866, 676, 11067, 707, 3946, 4749, 267, 9308, 26865, 267, 543, 9849, 513, 3068, 9633, 269, 589, 2318, 1449, 2306, 621, 2312, 602, 596, 723, 547, 20586 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2589, 941, 12290, 1210, 9167, 4629, 5937, 4336, 267, 799, 729, 13950, 676, 8036, 5967, 619, 607, 513, 851, 540, 26480, 296, 269, 634, 9167, 4629, 5937, 4336, 729, 2919, 543, 24019, 547, 5635, 2589, 540, 4965, 538, 4587, 4079, 2066, 2342, 5379, 269, 634, 476, 1321, 9167, 4629, 5937, 3688, 630, 24119, 5962, 7099, 267, 533, 612, 574, 1143, 267, 530, 5109, 2669, 267, 16203, 267, 3207, 267, 1719, 267, 29338, 267, 14031, 267, 9854, 267, 5834, 267, 18399, 543, 15237, 6888, 264, 616, 20639, 476, 271, 630, 15290, 10835, 568, 711, 1459, 264, 610, 476, 272, 630, 15290, 10835, 568, 1459, 1040, 901, 12958, 513, 4336, 8151, 689, 476, 271, 547, 476, 1321, 267, 609, 2362, 8464, 10834, 513, 3152, 10335, 540, 19591, 2589, 563, 2304, 3806, 2589, 941, 12290, 1210, 513, 2947, 268, 14403, 4336, 1759, 593, 513, 9168, 23894, 17520, 22802, 5325, 269, 2290, 6221, 568, 827, 5626, 630, 325, 792, 540, 519, 10782, 8345, 1070, 1079, 3688, 827, 12214, 630, 10623, 9934, 1250, 3946, 1726, 3387, 1782, 267, 4743, 25861, 264, 543, 1079, 3688, 827, 5042, 2589, 630, 7424, 8401, 267, 2348, 513, 4250, 540, 12955, 264, 2404, 609, 4160, 269, 634, 2055, 616, 12943, 593, 513, 2185, 15304, 700, 1731, 1068, 4336, 12462, 6866, 5608, 968, 14551, 569, 2479, 5608, 968, 16341, 540, 519, 942, 5608, 968, 2865, 540, 519, 942, 26158, 589, 2040, 540, 891, 2947, 3688, 5932, 519, 3803, 4160, 4336, 267, 609, 2362, 6060, 10834, 3152, 4160, 563, 2026, 4160, 2589, 941, 12290, 1152, 538, 6329, 476, 275, 543, 476, 276, 267, 649, 11658, 519, 3732, 547, 2043, 945, 15548, 538, 6329, 476, 275, 610, 476, 276, 543, 723, 693, 2547, 835, 2268, 540, 19591, 607, 1134, 607, 4160, 2589, 269, 3245, 476, 16928, 267, 4649, 277, 2043, 945, 1185, 693, 2547, 835, 5967, 538, 15562, 22664, 267, 476, 5952, 267, 31172, 1004, 3576, 851, 538, 6329, 476, 275, 610, 476, 276, 269, 3245, 873, 267, 649, 16934, 5171, 689, 5840, 630, 333, 815, 476, 28796, 280, 264, 538, 1931, 547, 1445, 1152, 593, 17417, 267, 2043, 609, 7508, 1239, 593, 4266, 540, 4332, 630, 333, 815, 476, 1724, 1070, 1346, 711, 4535, 538, 519, 2197, 540, 5967, 630, 333, 815, 476, 277, 7176, 279, 1070, 2043, 609, 7508, 1239, 593, 19591, 630, 333, 815, 476, 23056, 274, 264, 543, 4160, 630, 333, 815, 476, 4792, 264, 2589, 538, 1312, 6329, 267, 1346, 945, 1705, 711, 723, 1239, 593, 1312, 3800, 538, 519, 1482, 5951, 630, 333, 815, 476, 15686, 264, 543, 1346, 7820, 982, 476, 2004, 1296, 630, 333, 815, 476, 279, 4391, 1070, 6028, 476, 7761, 267, 24907, 1004, 538, 519, 3803, 10763, 3732, 269, 634, 3732, 3976, 3769, 5171, 689, 5375, 2342, 281, 15212, 630, 277, 269, 278, 15992, 5125, 630, 278, 269, 276, 15992, 13814, 630, 277, 269, 271, 15992, 5333, 630, 278, 269, 278, 15992, 16848, 630, 275, 269, 276, 15992, 19934, 630, 279, 269, 275, 15992, 24006, 10603, 32490, 630, 272, 269, 275, 260, 5148, 22778, 807, 281, 16862, 630, 276, 269, 278, 15992, 13785, 630, 277, 269, 275, 260, 5148, 8828, 2342, 281, 8050, 630, 280, 269, 272, 15992, 7977, 630, 278, 269, 276, 15992, 17577, 630, 273, 269, 276, 5148, 543, 6239, 543, 8109, 2342, 281, 16231, 6243, 630, 279, 269, 280, 15992, 12996, 630, 273, 269, 274, 15992, 21640, 630, 275, 269, 271, 15992, 6215, 8576, 807, 630, 275, 269, 275, 15992, 543, 6480, 8205, 630, 277, 269, 280, 22103, 634, 2085, 540, 519, 3732, 24132, 1063, 476, 2004, 547, 476, 9340, 1296, 693, 519, 942, 540, 519, 5967, 267, 2495, 602, 519, 1032, 540, 4332, 24132, 1063, 476, 5002, 271, 1700, 3422, 274, 269, 1284, 8237, 519, 3732, 693, 519, 2085, 540, 476, 4792, 1296, 585, 2417, 2079, 538, 1931, 519, 8524, 519, 20165, 1198, 540, 1373, 4535, 1282, 519, 1158, 10617, 630, 5392, 269, 277, 8472, 610, 1310, 519, 10617, 630, 2004, 269, 275, 260, 1916, 10574, 540, 19591, 2589, 543, 4160, 729, 1031, 689, 519, 5951, 621, 729, 1101, 2139, 267, 4061, 267, 649, 5342, 938, 2079, 3444, 16687, 958, 269, 29149, 1239, 568, 4843, 607, 1611, 13008, 3044, 11539, 630, 16256, 1070, 610, 4908, 630, 333, 267, 4939, 1070, 1141, 3617, 269, 3689, 267, 796, 21725, 2079, 729, 5340, 676, 9236, 2085, 543, 519, 1377, 540, 19591, 543, 4160, 2589, 1063, 14298, 289, 1210, 835, 17574, 2079, 540, 13065, 630, 3198, 23701, 1040, 634, 3017, 538, 8167, 540, 2021, 2066, 14298, 289, 729, 7318, 1210, 15616, 30026, 1449, 269, 5822, 267, 1617, 850, 767, 20592, 729, 4294, 547, 1353, 519, 7681, 540, 14298, 289, 607, 1134, 607, 631, 15477, 609, 519, 1377, 540, 19591, 543, 4160, 2589, 269, 17520, 543, 19591, 2589, 941, 10567, 538, 1614, 15654, 1079, 7400, 4351, 18448, 3631, 1210, 26228, 700, 1731, 9685, 7605, 755, 630, 7876, 305, 264, 3934, 1807, 269, 769, 519, 14955, 6463, 7844, 476, 271, 267, 519, 13065, 540, 19591, 543, 4160, 2589, 729, 9674, 883, 1369, 2197, 543, 1063, 2197, 1083, 1734, 1210, 2197, 540, 4332, 607, 513, 24159, 4756, 547, 1852, 585, 519, 18312, 20173, 2066, 2477, 269, 769, 7844, 476, 272, 267, 519, 6378, 2360, 540, 1852, 4632, 3023, 630, 325, 24580, 815, 476, 271, 267, 5256, 815, 476, 272, 264, 543, 2085, 941, 9411, 547, 519, 2203, 269, 7844, 476, 273, 5189, 519, 6378, 2360, 540, 14298, 289, 543, 631, 15477, 538, 5094, 3631, 269, 17738, 476, 271, 543, 476, 272, 607, 1134, 607, 17738, 476, 272, 543, 476, 273, 941, 3379, 609, 15616, 30026, 6476, 4255, 14661, 585, 519, 16066, 305, 18440, 15494, 3815, 1739, 519, 5227, 5650, 4366, 269, 634, 6045, 13065, 540, 519, 6378, 2360, 729, 6829, 676, 519, 3448, 6175, 540, 519, 1369, 28029, 787, 1083, 1734, 269, 12059, 267, 649, 8268, 2436, 519, 7681, 540, 14298, 289, 19072, 15477, 609, 19591, 270, 534, 3806, 2589, 15320, 585, 1004, 7820, 982, 476, 4792, 543, 4587, 982, 476, 4792, 1296, 676, 18110, 519, 3631, 1247, 14404, 4328, 593, 2085, 1895, 269, 14936, 267, 649, 14404, 1881, 519, 3732, 2066, 3023, 543, 3864, 4525, 543, 5340, 5276, 9695, 17782, 19591, 543, 4160, 2589, 609, 631, 15477, 610, 14298, 289, 269, 13474, 540, 4332, 729, 711, 6417, 585, 1934, 267, 607, 519, 8390, 1369, 3864, 4525, 630, 16746, 547, 1970, 1297, 540, 2477, 1369, 1142, 3148, 264, 1705, 711, 11863, 547, 7447, 4351, 2360, 585, 2197, 269, 634, 9382, 941, 5340, 538, 631, 15200, 630, 11437, 476, 279, 269, 275, 264, 543, 519, 5515, 941, 2813, 538, 681, 630, 11437, 476, 275, 269, 272, 269, 271, 1916, 1607, 1353, 729, 5645, 856, 538, 13076, 609, 519, 16672, 540, 670, 1564, 1074, 328, 269, 15562, 22664, 814, 1044, 14578, 12649, 543, 9516, 676, 519, 15979, 9730, 540, 519, 2160, 540, 28553, 8583, 269, 2353, 5171, 3177, 513, 2854, 5483, 9844, 269, 4578, 941, 29660, 12845, 7716, 1242, 543, 5171, 941, 5483, 827, 519, 4859, 543, 946, 540, 519, 1239, 543, 741, 1318, 547, 11198, 9844, 269, 634, 1459, 2079, 729, 9516, 676, 519, 15979, 9730, 540, 519, 2817, 4659, 540, 10076, 2657, 267, 16231, 6243, 563, 16966, 547, 519, 15562, 22664, 1239, 568, 3177, 1863, 540, 5279, 593, 519, 4493, 540, 513, 5305, 3609, 602, 3947, 2656, 543, 10375, 1569, 547, 782, 3621, 3755, 5001, 1310, 1367, 14261, 269, 2353, 3877, 827, 519, 3498, 543, 14261, 1184, 666, 581, 1336, 593, 713, 3896, 281, 2671, 3491, 915, 3820, 269, 634, 1353, 7014, 543, 16105, 540, 519, 8579, 2079, 786, 581, 3838, 2390, 7662, 689, 519, 7222, 2278, 540, 713, 1353, 563, 299, 2946, 18090, 267, 808, 11607, 303, 269, 25731, 5735, 267, 11411, 267, 543, 9659, 538, 4965, 543, 4160, 269, 808, 269, 7885, 269, 24741, 476, 7830, 267, 476, 275, 1700, 1321, 630, 1220, 272, 1916, 2710, 345, 12251, 267, 667, 269, 808, 1421, 25994, 267, 623, 269, 631, 269, 1299, 19811, 267, 918, 269, 589, 269, 3690, 10972, 1725, 8251, 4485, 547, 519, 6604, 540, 4965, 543, 4160, 269, 808, 269, 595, 1758, 269, 5369, 1278, 269, 476, 2537, 267, 476, 4510, 1700, 6795, 630, 1220, 280, 1916, 306, 601, 580, 2006, 267, 631, 269, 661, 1421, 5576, 592, 2006, 267, 623, 1421, 1546, 305, 4209, 529, 267, 681, 269, 808, 269, 1299, 670, 3326, 517, 267, 590, 269, 667, 269, 634, 6604, 540, 4965, 543, 4160, 269, 2776, 341, 269, 6164, 269, 476, 273, 267, 476, 279, 320, 630, 1960, 280, 1916, 8624, 2006, 267, 594, 269, 1299, 2311, 320, 31608, 13568, 267, 589, 269, 5020, 1576, 5380, 593, 519, 27496, 540, 4965, 269, 2052, 269, 808, 269, 5369, 9332, 269, 476, 4649, 267, 476, 25118, 1700, 277, 3953, 630, 1001, 271, 1916, 16675, 267, 631, 269, 808, 269, 1299, 5484, 2763, 1998, 267, 631, 269, 634, 1646, 540, 14227, 16526, 538, 4160, 543, 4965, 2589, 936, 519, 1272, 322, 6847, 269, 17502, 269, 24741, 5369, 9332, 337, 269, 25731, 2723, 269, 476, 4366, 267, 476, 4198, 272, 1700, 3422, 272, 630, 1001, 274, 1916, 298, 7795, 267, 667, 269, 1696, 620, 269, 589, 1272, 1576, 1935, 547, 2635, 30333, 281, 634, 670, 3201, 24426, 517, 10872, 269, 5398, 2657, 476, 14695, 267, 476, 4350, 1700, 4198, 630, 1001, 273, 1916, 307, 528, 9445, 267, 661, 269, 674, 1421, 21984, 13530, 267, 681, 269, 681, 1421, 2037, 23036, 267, 808, 269, 631, 1421, 8585, 18115, 267, 667, 269, 667, 269, 1299, 4469, 2803, 267, 667, 269, 590, 269, 17510, 4005, 1275, 538, 17299, 4524, 267, 18624, 267, 11634, 714, 10394, 8997, 4524, 543, 1869, 321, 597, 2195, 269, 5576, 15573, 337, 269, 1763, 269, 476, 2641, 267, 476, 15221, 1700, 14983, 630, 1960, 277, 1916, 307, 528, 9445, 267, 661, 269, 674, 1421, 16019, 267, 808, 1421, 21984, 13530, 267, 681, 269, 1299, 962, 565, 5287, 267, 681, 269, 670, 269, 17897, 1275, 540, 24570, 538, 18624, 543, 17299, 4524, 281, 589, 2689, 540, 519, 3332, 269, 5576, 15573, 337, 269, 1763, 269, 476, 2764, 267, 476, 272, 1700, 4343, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 13478, 6021, 273, 271, 268, 4200, 277, 275, 263, 9032, 264, 1822, 10844, 268, 274, 630, 1960, 278, 1916, 11514, 27053, 267, 717, 1421, 7435, 601, 267, 589, 269, 661, 1421, 3474, 320, 267, 589, 269, 661, 1421, 10548, 698, 641, 23750, 267, 590, 269, 966, 269, 1299, 7435, 684, 6339, 628, 328, 267, 700, 269, 17897, 540, 4332, 543, 30604, 6179, 6242, 269, 5696, 269, 808, 269, 24741, 476, 2735, 267, 476, 29024, 1700, 28147, 630, 1001, 272, 1916, 297, 784, 4565, 334, 564, 267, 623, 1421, 23108, 523, 1168, 3716, 267, 670, 269, 1299, 681, 4141, 548, 557, 671, 267, 715, 269, 17897, 958, 3808, 9065, 14527, 8957, 968, 339, 17687, 693, 17748, 892, 607, 2014, 585, 30604, 6179, 6242, 543, 824, 4189, 4713, 269, 2271, 269, 808, 269, 16202, 269, 2598, 867, 269, 476, 4343, 267, 476, 26951, 1700, 25838, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 273, 27160, 520, 269, 1001, 10463, 630, 1220, 276, 1916, 298, 754, 749, 267, 681, 269, 1299, 918, 11391, 267, 594, 269, 15604, 23899, 642, 4832, 23899, 11634, 15617, 923, 269, 5696, 269, 808, 269, 24741, 476, 14681, 267, 476, 275, 4200, 1700, 31746, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 15686, 273, 11486, 329, 335, 269, 14681, 269, 275, 269, 275, 4200, 630, 2735, 278, 1916, 309, 728, 2041, 577, 267, 570, 1421, 1284, 324, 651, 267, 589, 269, 1299, 667, 1575, 2632, 267, 589, 269, 7736, 18100, 2618, 4680, 543, 4005, 540, 4332, 269, 2920, 320, 5369, 9332, 337, 269, 20280, 269, 476, 2004, 267, 476, 1708, 1700, 25908, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 9340, 272, 10768, 269, 8182, 271, 268, 271, 4510, 278, 269, 3192, 275, 6745, 321, 5400, 273, 6021, 11859, 630, 3192, 275, 1916, 290, 770, 5766, 328, 990, 28839, 267, 623, 1421, 594, 777, 747, 3626, 267, 590, 1421, 623, 659, 577, 1512, 2714, 328, 267, 595, 269, 1299, 623, 1512, 3147, 7236, 267, 674, 269, 17897, 540, 4332, 538, 11784, 4524, 269, 11671, 17595, 984, 5735, 476, 2412, 267, 476, 10082, 1700, 9264, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 13478, 1822, 277, 268, 27088, 274, 263, 9032, 264, 279, 7597, 11025, 29930, 630, 1960, 280, 1916, 21574, 752, 267, 962, 1421, 23580, 267, 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 ]
[ 529, 267, 2110, 585, 22647, 9218, 18218, 267, 6763, 856, 607, 513, 3143, 21415, 5937, 520, 15390, 267, 1247, 1373, 11684, 543, 3532, 538, 2173, 25514, 1239, 2497, 4558, 269, 13242, 5097, 607, 513, 6538, 267, 21461, 267, 543, 5048, 30549, 267, 4414, 529, 7028, 513, 2647, 2039, 540, 1239, 3889, 971, 607, 12673, 267, 814, 1127, 267, 8638, 267, 5036, 267, 543, 15044, 5036, 269, 1548, 5036, 4414, 529, 6306, 568, 922, 2702, 547, 6023, 1164, 18286, 4238, 1247, 4180, 1239, 18094, 269, 5047, 4414, 529, 568, 606, 7046, 4149, 1830, 5741, 269, 901, 2306, 621, 606, 17170, 1907, 585, 2413, 3156, 602, 3747, 2656, 1239, 23023, 543, 1483, 6066, 12642, 563, 763, 17714, 540, 4414, 529, 454, 763, 1650, 540, 4414, 529, 5956, 538, 476, 1220, 280, 267, 4535, 856, 540, 519, 27265, 540, 25554, 520, 648, 5842, 16344, 2089, 334, 269, 21231, 2966, 547, 2087, 519, 25382, 540, 1010, 23492, 267, 4414, 529, 3533, 7960, 3564, 922, 3312, 3483, 269, 4706, 2702, 547, 6023, 1804, 14449, 7561, 267, 13745, 609, 922, 1930, 21299, 2470, 267, 21959, 1229, 7839, 3007, 269, 3683, 519, 1296, 267, 4414, 529, 814, 22734, 1713, 3986, 906, 267, 15268, 547, 519, 2479, 21608, 2029, 5251, 269, 4653, 267, 621, 779, 711, 1175, 513, 524, 2286, 3070, 855, 513, 6687, 17123, 1907, 7533, 547, 1082, 1164, 26024, 3156, 269, 634, 3460, 540, 4414, 529, 9356, 513, 5812, 7029, 547, 5647, 267, 1818, 621, 513, 20013, 538, 2413, 3301, 6189, 563, 7659, 17972, 540, 4414, 529, 454, 1103, 5336, 25514, 4578, 19554, 454, 16446, 529, 13333, 5097, 607, 606, 538, 2173, 25514, 1239, 4558, 267, 799, 568, 4909, 547, 922, 1164, 2773, 269, 9521, 2757, 12240, 602, 4558, 1239, 593, 12210, 267, 4414, 529, 8952, 922, 1239, 538, 20433, 269, 901, 1374, 3903, 3091, 1079, 1713, 2640, 281, 3432, 543, 4398, 269, 7457, 532, 1239, 538, 3965, 568, 27723, 18334, 982, 12210, 2861, 4238, 267, 3850, 4414, 529, 547, 1685, 1224, 543, 2328, 4238, 693, 11108, 11250, 269, 901, 2306, 4414, 529, 3226, 1134, 25252, 1243, 585, 7653, 1141, 4028, 1239, 1569, 568, 2629, 267, 971, 607, 524, 2286, 267, 8400, 4859, 267, 543, 1483, 6066, 12642, 563, 10574, 23113, 543, 2155, 1343, 454, 16446, 529, 6763, 856, 585, 922, 1489, 540, 513, 3099, 540, 1239, 3889, 267, 1142, 609, 513, 1305, 540, 12981, 3358, 585, 1808, 946, 2665, 269, 1452, 3889, 1331, 912, 268, 5899, 902, 281, 11822, 1257, 610, 9352, 1239, 267, 4998, 585, 524, 2286, 543, 4831, 4238, 563, 268, 700, 1235, 281, 26888, 540, 10288, 2609, 267, 3730, 585, 6446, 1132, 610, 588, 2931, 563, 268, 30498, 281, 1133, 23912, 10070, 540, 2189, 2609, 267, 5078, 585, 4247, 899, 11090, 3101, 543, 1483, 6066, 12642, 563, 268, 670, 10449, 281, 6206, 17032, 8424, 1369, 513, 1883, 267, 3501, 585, 8204, 3615, 563, 268, 590, 9285, 30498, 281, 5381, 547, 30498, 855, 609, 19280, 267, 1898, 585, 6205, 15236, 610, 10862, 6446, 1132, 563, 10376, 1239, 2497, 2501, 609, 922, 1378, 1305, 540, 12981, 267, 7175, 5730, 543, 3608, 1239, 12879, 269, 901, 8112, 2636, 9367, 547, 3442, 519, 1034, 3617, 3889, 585, 741, 1808, 2115, 267, 3056, 547, 20979, 2773, 543, 4199, 13345, 563, 306, 5632, 1464, 543, 4039, 6636, 454, 16446, 529, 779, 2773, 568, 711, 1152, 11911, 547, 922, 538, 2173, 25514, 2470, 855, 849, 547, 922, 15826, 1374, 20979, 585, 4398, 269, 2368, 540, 922, 1164, 26024, 4162, 1331, 912, 268, 1306, 2106, 28942, 1234, 6473, 281, 3416, 999, 1239, 15006, 543, 1164, 8244, 1510, 18731, 593, 2773, 563, 268, 26932, 5202, 543, 3690, 9146, 8081, 281, 14190, 338, 2789, 12981, 547, 581, 13401, 607, 513, 16801, 267, 4227, 519, 1297, 540, 5180, 15143, 2877, 563, 268, 6583, 270, 8138, 11619, 1645, 18963, 281, 11120, 4106, 919, 2679, 27249, 1483, 6066, 20261, 3156, 563, 268, 6431, 14571, 18169, 281, 5510, 619, 8848, 9092, 1239, 18094, 547, 12210, 267, 4180, 1239, 15006, 1510, 513, 1713, 1764, 593, 2773, 563, 4322, 4162, 1118, 4414, 529, 606, 5140, 3903, 585, 5054, 1141, 3432, 543, 4398, 616, 14063, 267, 1510, 27531, 519, 10727, 543, 7347, 1145, 4397, 689, 513, 2413, 1239, 4558, 563, 16446, 529, 2422, 27418, 454, 16446, 529, 267, 609, 922, 11684, 4183, 1305, 267, 9060, 922, 3498, 538, 1585, 11890, 267, 7393, 2773, 543, 4398, 269, 769, 713, 3184, 267, 649, 2263, 930, 540, 519, 1883, 946, 2665, 540, 4414, 529, 563, 290, 2286, 538, 4414, 529, 454, 3080, 540, 519, 1034, 1455, 3096, 540, 4414, 529, 568, 607, 513, 524, 2286, 4494, 269, 1635, 13936, 4749, 15600, 1239, 538, 4414, 529, 267, 3156, 666, 3648, 2569, 519, 942, 3144, 547, 1569, 713, 1239, 3379, 547, 10099, 4221, 621, 689, 513, 3119, 6538, 269, 901, 568, 3226, 6225, 585, 1239, 602, 1281, 711, 1689, 1419, 855, 568, 1224, 4749, 267, 971, 607, 3593, 9043, 1344, 610, 1587, 3877, 538, 606, 552, 19645, 3498, 269, 634, 1267, 568, 513, 1454, 5488, 3593, 1995, 543, 4389, 4452, 593, 519, 3119, 6538, 563, 16446, 529, 568, 606, 5140, 3903, 585, 8400, 4859, 1813, 547, 922, 3728, 1239, 1569, 7207, 269, 769, 1357, 3156, 267, 3593, 8400, 1344, 666, 581, 6740, 538, 4414, 529, 267, 3850, 585, 2656, 1569, 543, 10311, 269, 901, 568, 2523, 3730, 538, 7856, 3156, 1141, 4509, 8400, 11007, 2066, 2789, 13763, 568, 2629, 269, 1635, 1210, 4414, 529, 267, 3156, 666, 2327, 602, 3593, 8400, 1344, 568, 11593, 2139, 267, 27249, 267, 543, 711, 13615, 547, 513, 1808, 7746, 563, 763, 6583, 1501, 270, 29771, 630, 8530, 270, 8138, 264, 20261, 4806, 568, 1134, 23418, 9285, 538, 4414, 529, 269, 901, 4806, 2636, 585, 519, 5137, 540, 20261, 9055, 547, 799, 32224, 666, 6432, 269, 23255, 6494, 6835, 547, 891, 9055, 267, 799, 616, 1287, 4607, 676, 782, 519, 32224, 269, 901, 4183, 568, 4922, 1031, 538, 1483, 6066, 10004, 3156, 267, 1483, 6066, 12642, 21686, 15236, 267, 543, 585, 24254, 3527, 538, 3210, 547, 2621, 563, 16446, 529, 568, 5051, 1031, 585, 1483, 6066, 12642, 1813, 547, 922, 2702, 547, 6023, 1804, 12531, 540, 2328, 543, 1224, 4238, 609, 8766, 26125, 269, 898, 666, 581, 1031, 547, 3950, 543, 5659, 1239, 538, 1483, 6066, 267, 971, 607, 3593, 2534, 20743, 267, 4945, 3613, 3195, 1239, 267, 610, 14164, 9300, 1239, 269, 634, 3728, 1239, 4393, 12588, 540, 4414, 529, 2306, 621, 2009, 547, 5352, 8216, 4030, 543, 4431, 547, 3466, 607, 789, 4755, 267, 799, 568, 2565, 538, 7653, 899, 12611, 7020, 267, 1483, 6066, 10229, 267, 543, 2661, 5464, 1949, 563, 21093, 29035, 609, 4414, 529, 454, 21615, 1046, 532, 593, 707, 4414, 529, 3460, 3340, 513, 1906, 3551, 3268, 269, 901, 3184, 786, 3391, 596, 998, 16459, 4414, 529, 593, 13891, 1014, 2861, 14778, 267, 8848, 1005, 621, 585, 2596, 946, 267, 543, 15025, 609, 621, 1210, 519, 4971, 11060, 8818, 563, 9743, 718, 566, 543, 5590, 1575, 593, 13891, 1014, 2861, 5940, 4592, 454, 2414, 3888, 4414, 529, 593, 513, 13891, 1014, 2861, 1062, 267, 971, 607, 29974, 31583, 267, 1246, 891, 3268, 912, 10000, 11845, 13268, 720, 700, 1235, 912, 5575, 267, 9337, 707, 10189, 8638, 547, 2327, 596, 723, 1569, 547, 519, 5767, 3301, 8747, 563, 338, 30186, 19038, 268, 1326, 9337, 454, 9743, 718, 4414, 529, 1210, 519, 19038, 10189, 9614, 563, 338, 30186, 19038, 268, 1326, 3888, 2699, 529, 1606, 13996, 454, 9359, 4414, 529, 6796, 912, 5629, 8704, 267, 1376, 519, 4414, 529, 3028, 563, 338, 30186, 1062, 551, 331, 1376, 2699, 529, 1606, 13996, 454, 5319, 762, 4414, 529, 547, 3399, 693, 645, 2393, 912, 2252, 596, 1616, 4414, 529, 547, 1376, 8850, 950, 519, 1062, 25192, 912, 338, 30186, 1062, 551, 331, 5512, 2699, 529, 1606, 13996, 454, 13425, 4414, 529, 21073, 912, 2414, 2327, 4414, 529, 568, 4881, 7157, 912, 338, 30186, 1062, 551, 331, 4567, 2699, 529, 1606, 13996, 454, 5475, 16459, 4414, 529, 267, 596, 1522, 1616, 547, 1118, 930, 2596, 19383, 912, 15411, 519, 4414, 529, 4762, 580, 4851, 11711, 912, 763, 1292, 12122, 3758, 585, 4414, 529, 568, 4092, 693, 2387, 270, 31756, 270, 1042, 529, 270, 1042, 529, 269, 20813, 18269, 7046, 713, 3758, 609, 513, 1257, 9375, 269, 1280, 3236, 267, 1210, 24519, 912, 338, 30186, 24519, 1315, 31756, 270, 1042, 529, 270, 1042, 529, 269, 20813, 454, 31171, 4762, 580, 4851, 23994, 912, 20751, 519, 12122, 3758, 267, 596, 666, 4188, 1585, 5468, 269, 1280, 1383, 267, 547, 1689, 519, 9949, 2823, 593, 799, 4414, 529, 1592, 839, 267, 1265, 519, 1899, 2387, 258, 2823, 476, 277, 4391, 280, 319, 543, 1689, 621, 547, 707, 5551, 2823, 1297, 563, 8855, 547, 4894, 519, 2387, 258, 319, 547, 9296, 618, 543, 19334, 519, 4259, 563, 27916, 691, 4414, 529, 6796, 912, 5475, 1818, 2242, 267, 4688, 519, 3758, 543, 1964, 691, 519, 4414, 529, 3028, 547, 4019, 873, 563, 338, 30186, 1062, 551, 331, 1964, 691, 2699, 529, 1606, 13996, 454, 21995, 4414, 529, 2155, 1343, 454, 16446, 529, 2501, 609, 513, 3710, 2987, 4971, 11060, 8818, 630, 12710, 296, 264, 602, 2636, 596, 547, 2170, 609, 519, 4414, 529, 7746, 2047, 269, 1677, 946, 621, 912, 16966, 532, 4414, 529, 14160, 296, 454, 8245, 2952, 1826, 2387, 1042, 529, 12641, 328, 319, 538, 707, 12363, 563, 16446, 529, 9978, 2155, 1343, 454, 306, 4953, 281, 1677, 1305, 513, 1883, 609, 513, 5569, 1871, 563, 306, 4953, 1883, 834, 7407, 4840, 294, 4953, 281, 1677, 23074, 519, 1871, 540, 513, 1883, 563, 291, 5085, 281, 1677, 18419, 513, 1883, 563, 17395, 22076, 281, 1677, 1592, 782, 10569, 12805, 513, 4806, 563, 13052, 18444, 3918, 281, 1677, 1305, 513, 942, 719, 593, 513, 1883, 563, 13052, 18444, 3918, 1883, 7643, 454, 2750, 1746, 4414, 529, 14160, 296, 454, 2414, 14827, 519, 14160, 296, 267, 1826, 912, 10574, 9537, 538, 4414, 529, 454, 16446, 529, 3091, 513, 3638, 1305, 540, 1239, 2010, 547, 8597, 547, 1114, 1239, 2359, 2115, 269, 4197, 891, 2010, 568, 2629, 585, 3927, 1210, 4414, 529, 269, 3371, 779, 513, 5618, 7650, 540, 519, 3119, 1239, 2010, 2139, 538, 4414, 529, 912, 1700, 5899, 902, 616, 519, 1034, 2596, 1826, 540, 1239, 538, 4414, 529, 563, 1700, 13242, 585, 13936, 1257, 610, 9352, 1239, 630, 1575, 547, 476, 24423, 15406, 1916, 1700, 5871, 12981, 281, 2387, 306, 4953, 319, 585, 4259, 513, 1871, 267, 2387, 294, 4953, 319, 585, 13098, 1324, 513, 1871, 563, 1700, 700, 1235, 616, 2241, 8638, 540, 12673, 267, 15044, 676, 24450, 1931, 563, 1700, 26758, 585, 7598, 6446, 1132, 610, 588, 2931, 563, 1700, 6206, 12981, 1331, 2387, 10861, 4785, 295, 319, 585, 4946, 606, 3693, 547, 519, 4098, 267, 543, 2387, 14641, 4785, 295, 319, 585, 4946, 547, 519, 1439, 563, 1700, 30498, 616, 796, 23912, 10070, 540, 12673, 563, 1700, 4279, 585, 13936, 2189, 2609, 630, 706, 27289, 616, 711, 4847, 1916, 1700, 2422, 2387, 306, 4696, 291, 319, 547, 1039, 2609, 267, 543, 2387, 15551, 4932, 289, 8991, 319, 547, 23074, 782, 2609, 563, 1700, 670, 10449, 616, 7851, 1063, 5569, 4610, 543, 5569, 2418, 563, 1700, 2672, 3386, 585, 13936, 3615, 630, 3697, 3593, 12632, 1916, 1700, 2155, 1343, 899, 2387, 9391, 4953, 319, 543, 2387, 295, 294, 4953, 319, 616, 1031, 547, 1305, 543, 23074, 2361, 2418, 267, 6606, 563, 1700, 5381, 547, 30498, 855, 1142, 3693, 568, 2404, 609, 513, 6060, 563, 1700, 901, 6060, 568, 1031, 547, 4990, 2609, 538, 513, 9138, 1931, 563, 1700, 2387, 313, 4696, 291, 319, 8591, 2609, 267, 1247, 2387, 313, 305, 3198, 12283, 319, 13098, 1407, 873, 538, 1931, 563, 16446, 529, 8232, 7454, 13756, 454, 28444, 1005, 519, 3354, 540, 707, 4414, 529, 17293, 568, 4105, 269, 3371, 616, 519, 1883, 2853, 5059, 593, 17452, 267, 28431, 267, 543, 14238, 547, 2226, 513, 5150, 4414, 529, 1604, 563, 268, 2037, 762, 10426, 5320, 10466, 281, 4414, 529, 2636, 596, 547, 5150, 1569, 609, 513, 10957, 269, 5590, 513, 2178, 10957, 538, 519, 4414, 529, 12122, 3758, 630, 319, 1042, 529, 269, 20813, 319, 264, 1210, 519, 2387, 7528, 790, 10139, 319, 1463, 633, 563, 268, 2422, 27483, 295, 16710, 281, 1849, 1801, 1590, 6461, 6510, 609, 519, 4414, 529, 7746, 1210, 519, 2387, 288, 7473, 295, 319, 4971, 4553, 676, 519, 10957, 563, 1700, 23423, 7457, 547, 11565, 539, 20305, 281, 3550, 602, 1152, 11967, 3755, 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 ]
[ 538, 264, 540, 4764, 267, 6140, 538, 519, 30734, 4005, 689, 3735, 4873, 547, 2038, 5239, 269, 12736, 1562, 2063, 689, 5437, 547, 5130, 543, 616, 7646, 267, 4352, 1970, 338, 666, 2887, 547, 476, 276, 11019, 290, 630, 6078, 11019, 293, 264, 1818, 621, 21230, 4411, 563, 347, 13434, 867, 1164, 11019, 290, 630, 4113, 293, 10534, 3607, 269, 276, 454, 347, 13614, 5021, 11019, 290, 630, 4113, 293, 10534, 4029, 269, 276, 454, 24820, 2071, 1164, 11019, 290, 630, 4113, 293, 10534, 2764, 269, 271, 454, 24820, 2071, 1970, 11019, 290, 630, 4113, 293, 10534, 1724, 269, 274, 454, 347, 13614, 5934, 11019, 290, 630, 4113, 293, 10534, 279, 269, 277, 454, 347, 13434, 867, 1970, 11019, 290, 630, 4113, 293, 10534, 276, 269, 271, 454, 24820, 2071, 11811, 6515, 630, 514, 2583, 10534, 1724, 269, 278, 454, 24820, 2071, 24925, 2395, 1475, 272, 269, 271, 1475, 272, 269, 271, 1475, 272, 269, 273, 1475, 272, 269, 271, 1475, 273, 269, 275, 1475, 279, 269, 279, 1475, 1691, 269, 274, 1475, 1691, 269, 272, 1475, 280, 269, 274, 1475, 273, 269, 276, 1475, 271, 269, 278, 1475, 271, 269, 275, 1475, 6321, 269, 279, 2008, 24820, 2071, 3448, 11195, 630, 8472, 630, 520, 476, 1704, 281, 1789, 594, 4306, 10534, 5325, 1475, 3374, 1475, 2764, 1475, 2420, 1475, 2767, 1475, 7367, 1475, 10602, 1475, 8064, 1475, 10463, 1475, 6795, 1475, 7906, 1475, 5392, 1475, 5392, 2008, 347, 13126, 281, 3127, 25561, 1670, 4972, 2008, 30025, 543, 6214, 31171, 454, 26244, 760, 584, 2749, 814, 513, 27391, 531, 18294, 269, 898, 729, 7620, 3964, 676, 519, 3703, 593, 476, 1704, 2904, 476, 5908, 278, 267, 621, 729, 1287, 3957, 14780, 760, 584, 27391, 531, 12233, 269, 898, 729, 18175, 24612, 547, 14780, 760, 584, 27391, 531, 15278, 538, 519, 1032, 476, 3192, 274, 269, 634, 1858, 540, 519, 18513, 18294, 568, 476, 26297, 5998, 273, 630, 9262, 13483, 11465, 1040, 681, 10157, 568, 18170, 896, 519, 4808, 5018, 538, 519, 932, 1002, 26385, 3258, 327, 27391, 8017, 2920, 267, 476, 3422, 272, 269, 1306, 829, 476, 1001, 272, 17227, 540, 3127, 4683, 4903, 331, 558, 3130, 2551, 538, 14780, 760, 584, 267, 667, 4026, 5174, 327, 559, 2967, 729, 476, 274, 267, 5908, 267, 277, 3953, 269, 634, 1614, 4683, 4872, 540, 14780, 760, 584, 267, 13225, 559, 2967, 543, 667, 4026, 538, 4639, 3844, 540, 932, 1002, 26385, 3258, 327, 1927, 5932, 14780, 760, 584, 5174, 327, 559, 2967, 5937, 4026, 10222, 4975, 5450, 549, 1858, 563, 763, 3252, 896, 519, 18513, 18294, 616, 4070, 540, 1072, 7740, 267, 3872, 32112, 267, 3506, 543, 13350, 5826, 540, 519, 8075, 269, 769, 1840, 547, 2921, 519, 5539, 540, 14335, 2596, 18523, 5989, 267, 8038, 13569, 543, 9897, 267, 621, 568, 849, 3384, 16351, 7740, 971, 607, 15882, 267, 2146, 31508, 543, 11614, 269, 13966, 609, 2596, 18523, 5989, 267, 8038, 13569, 267, 543, 9897, 563, 763, 10324, 12233, 5161, 540, 519, 30934, 267, 3493, 14280, 10243, 518, 267, 2749, 1072, 10492, 267, 10324, 8030, 267, 7997, 10243, 619, 543, 824, 5234, 269, 634, 1699, 25650, 540, 14780, 760, 584, 568, 1744, 686, 269, 28397, 4599, 327, 27958, 630, 296, 6993, 2529, 1040, 634, 1699, 25650, 568, 589, 6359, 1794, 667, 515, 8663, 689, 5442, 290, 269, 634, 26302, 538, 14643, 2874, 540, 519, 26302, 945, 568, 519, 608, 6815, 1470, 11381, 17367, 540, 519, 631, 2975, 269, 7324, 11221, 5646, 322, 650, 832, 519, 25650, 1528, 338, 873, 547, 519, 14643, 269, 1703, 616, 476, 3583, 530, 1841, 543, 476, 279, 10851, 1369, 519, 14780, 760, 584, 27391, 531, 15278, 269, 634, 1990, 4689, 20758, 26639, 616, 18188, 676, 11381, 11825, 976, 945, 616, 11221, 676, 20758, 5646, 322, 650, 832, 540, 519, 9757, 7997, 563, 763, 2487, 18513, 12836, 729, 4371, 593, 476, 2641, 5412, 476, 1001, 280, 269, 634, 2797, 6105, 538, 5354, 693, 519, 18513, 1377, 616, 645, 297, 303, 543, 5442, 290, 269, 634, 6059, 18513, 6578, 476, 1001, 278, 268, 1001, 279, 20907, 568, 12652, 269, 476, 2918, 267, 14695, 267, 6858, 269, 6206, 8907, 2959, 616, 3454, 4747, 267, 3171, 525, 543, 10997, 267, 5842, 2787, 10997, 267, 6182, 1218, 543, 23190, 543, 13317, 4747, 563, 763, 2749, 568, 513, 851, 540, 14780, 760, 584, 10588, 609, 3220, 269, 590, 269, 32038, 27821, 30605, 534, 267, 594, 3008, 270, 8624, 937, 528, 1299, 20336, 269, 634, 21689, 9843, 519, 8664, 7245, 8257, 269, 634, 5580, 21689, 267, 1244, 14280, 21689, 543, 4745, 1244, 14280, 4217, 519, 11814, 528, 269, 4033, 12044, 8041, 602, 616, 3742, 538, 519, 2749, 540, 14780, 760, 584, 568, 519, 12124, 10029, 1656, 4886, 267, 932, 1002, 26385, 3258, 327, 563, 26244, 760, 584, 9457, 4643, 476, 1708, 272, 17767, 519, 991, 585, 9709, 1646, 547, 1491, 519, 2604, 1055, 519, 25708, 4295, 543, 2743, 519, 991, 585, 3039, 5624, 543, 4703, 540, 1216, 538, 602, 1858, 269, 634, 1544, 7125, 585, 10053, 8027, 538, 1007, 30834, 2888, 593, 519, 856, 12921, 16630, 543, 1134, 13807, 10165, 1164, 8573, 1047, 5010, 543, 4853, 1646, 2059, 519, 19760, 268, 277, 607, 1134, 607, 593, 519, 5087, 2427, 540, 519, 2749, 563, 26765, 529, 331, 894, 10198, 543, 1533, 8041, 31171, 454, 26244, 760, 584, 568, 513, 700, 758, 17939, 3873, 270, 13640, 8365, 776, 14218, 1890, 538, 6239, 932, 1002, 26385, 3258, 327, 540, 932, 1002, 26385, 3258, 327, 543, 568, 4092, 538, 6239, 3127, 269, 14780, 760, 584, 700, 758, 17939, 3873, 10160, 568, 796, 637, 5703, 269, 6004, 2529, 684, 559, 27958, 12312, 328, 267, 645, 297, 303, 568, 14780, 760, 584, 4975, 12463, 269, 1703, 616, 1614, 17090, 14218, 1890, 538, 14780, 760, 584, 2749, 543, 835, 14218, 1890, 585, 14780, 760, 584, 22798, 269, 634, 9757, 16066, 2026, 540, 519, 1614, 14218, 1890, 616, 14780, 760, 584, 4975, 3162, 17090, 568, 6004, 269, 645, 686, 329, 332, 2129, 534, 3397, 3863, 531, 267, 645, 297, 303, 267, 585, 14780, 760, 584, 4975, 3345, 621, 568, 6004, 269, 918, 592, 1372, 788, 4873, 10937, 267, 5442, 290, 543, 585, 14780, 760, 584, 4975, 4639, 621, 568, 6004, 269, 23819, 553, 5455, 611, 1506, 599, 267, 5442, 290, 563, 763, 2706, 23734, 550, 540, 19296, 15445, 19296, 267, 519, 2319, 540, 19296, 543, 5234, 3743, 585, 519, 1644, 2238, 540, 519, 4155, 8257, 2212, 519, 5398, 1568, 8257, 269, 634, 9757, 3252, 616, 12020, 543, 8888, 540, 4155, 7088, 1216, 8963, 267, 5826, 540, 9897, 543, 10754, 267, 2226, 10651, 543, 11614, 607, 1134, 607, 759, 584, 325, 5217, 519, 4155, 543, 28472, 1494, 8559, 543, 3983, 15649, 563, 1103, 519, 1668, 3560, 1062, 540, 14780, 760, 584, 4975, 972, 568, 513, 2698, 1297, 540, 476, 14991, 645, 4926, 533, 2391, 1369, 519, 2749, 563, 27852, 3028, 543, 5201, 31171, 454, 763, 2749, 5201, 568, 13859, 676, 932, 1002, 26385, 3258, 327, 3557, 5295, 17392, 7577, 17290, 269, 9605, 543, 17073, 2533, 941, 1305, 909, 538, 519, 1032, 476, 1001, 277, 547, 2149, 3595, 13685, 538, 519, 1533, 269, 1306, 829, 519, 8846, 540, 519, 2229, 267, 519, 3595, 13749, 540, 519, 4683, 1560, 616, 1373, 3144, 896, 3595, 543, 6595, 2533, 563, 12850, 267, 12775, 543, 29326, 720, 31171, 454, 763, 4540, 2707, 540, 6151, 1216, 568, 689, 918, 9618, 684, 5757, 543, 827, 476, 10204, 16066, 291, 1216, 568, 5701, 593, 513, 3232, 4493, 568, 476, 22550, 544, 671, 799, 568, 519, 2126, 4390, 540, 519, 2030, 269, 634, 829, 21027, 1216, 3761, 538, 519, 2749, 540, 14780, 760, 584, 568, 476, 13670, 561, 335, 7251, 269, 1703, 568, 513, 1216, 3761, 4276, 547, 513, 2698, 540, 476, 4335, 876, 10820, 269, 13966, 609, 1216, 689, 519, 918, 9618, 684, 5211, 630, 2767, 16066, 291, 1070, 1776, 2707, 540, 1216, 568, 2666, 1216, 543, 519, 4390, 8246, 568, 476, 2420, 16066, 291, 269, 1703, 568, 513, 2698, 540, 476, 13647, 274, 1688, 335, 7927, 538, 519, 2749, 563, 2467, 568, 513, 3668, 538, 519, 29326, 720, 1949, 540, 14780, 760, 584, 4975, 269, 634, 1239, 585, 10820, 609, 513, 29828, 518, 720, 8416, 568, 28998, 269, 1809, 519, 1297, 540, 10820, 609, 1530, 10364, 13688, 616, 476, 272, 267, 4510, 267, 6434, 273, 543, 519, 10820, 1510, 1022, 19093, 585, 30079, 568, 476, 276, 5038, 280, 269, 634, 2749, 814, 1100, 5094, 12775, 1062, 6862, 1022, 29326, 3515, 269, 1703, 568, 513, 5094, 7088, 1216, 12775, 1062, 616, 9788, 607, 829, 10421, 563, 306, 13521, 3653, 2359, 31171, 454, 763, 3653, 2359, 538, 519, 2749, 568, 1303, 27434, 609, 519, 2749, 1072, 11464, 267, 519, 538, 5279, 1072, 11464, 267, 1990, 4689, 1072, 11464, 543, 519, 2319, 540, 7254, 3202, 19217, 832, 543, 20758, 19217, 832, 269, 589, 2698, 540, 476, 32579, 275, 3445, 10820, 723, 1044, 3811, 609, 2707, 17478, 543, 616, 4988, 676, 7450, 547, 7450, 4015, 269, 14780, 760, 584, 781, 2101, 3653, 12871, 3135, 568, 519, 7203, 7431, 3135, 267, 799, 568, 476, 1321, 5998, 2476, 689, 2749, 4099, 563, 26244, 760, 584, 543, 715, 11535, 14780, 760, 584, 19836, 4811, 1668, 2533, 2196, 1063, 6196, 14780, 760, 584, 543, 715, 11535, 14780, 760, 584, 563, 26244, 760, 584, 808, 4233, 16749, 6728, 568, 519, 3119, 16749, 6728, 540, 519, 2749, 799, 568, 13883, 593, 519, 1215, 19207, 9539, 698, 20580, 5336, 26842, 1899, 540, 519, 4095, 12565, 1811, 630, 16129, 13225, 639, 1177, 531, 267, 18491, 20580, 267, 717, 1180, 807, 267, 31167, 5684, 584, 267, 681, 712, 330, 11253, 267, 918, 9618, 698, 20580, 264, 543, 568, 4448, 609, 1034, 2101, 4872, 269, 898, 568, 11008, 2213, 538, 589, 268, 272, 7121, 540, 16749, 10473, 676, 519, 4095, 12565, 1811, 269, 2368, 1507, 16749, 10473, 616, 849, 1459, 1934, 585, 2199, 14884, 899, 7203, 7431, 267, 7203, 553, 342, 10620, 18491, 541, 543, 654, 11965, 2051, 3415, 16749, 10473, 269, 5445, 849, 9114, 593, 1482, 1215, 19207, 9539, 698, 20580, 5336, 26842, 1899, 563, 8266, 540, 949, 832, 31171, 454, 347, 28350, 540, 5604, 1475, 11243, 1475, 8512, 344, 1475, 24687, 2008, 347, 5881, 269, 4905, 269, 1708, 271, 570, 650, 11261, 1475, 288, 6359, 1794, 667, 515, 8663, 1475, 24465, 2817, 6837, 2008, 347, 5881, 269, 4905, 269, 1001, 276, 476, 5881, 269, 4905, 269, 1708, 271, 1475, 303, 1090, 617, 667, 4209, 344, 1475, 24465, 2817, 6837, 2008, 347, 4962, 269, 4905, 269, 1001, 271, 476, 5881, 269, 4905, 269, 1001, 276, 1475, 298, 597, 534, 16673, 328, 715, 599, 752, 1475, 24465, 2817, 6837, 2008, 347, 4962, 269, 4905, 269, 1220, 275, 476, 4962, 269, 4905, 269, 1001, 271, 1475, 26422, 559, 27958, 12312, 328, 1475, 289, 297, 303, 2008, 347, 6860, 269, 4905, 269, 1220, 271, 476, 1839, 269, 1321, 269, 1220, 274, 1475, 307, 541, 684, 2398, 553, 611, 932, 2660, 329, 2465, 1475, 24465, 2817, 6837, 2008, 347, 4962, 269, 4905, 269, 1960, 276, 476, 6860, 269, 4905, 269, 1220, 271, 1475, 25911, 2041, 518, 4873, 10937, 1475, 24465, 2817, 6837, 2008, 347, 1556, 269, 6021, 269, 2735, 275, 476, 2918, 269, 6349, 269, 2735, 276, 1475, 306, 656, 9655, 3397, 3863, 531, 1475, 24465, 2817, 6837, 2008, 347, 2767, 269, 6349, 269, 2735, 274, 476, 1015, 269, 6021, 269, 2735, 275, 1475, 307, 541, 684, 2398, 553, 611, 669, 2660, 329, 2465, 1475, 24465, 2817, 6837, 2008, 347, 2767, 269, 6349, 269, 2735, 273, 476, 2918, 269, 6349, 269, 2735, 274, 1475, 306, 8705, 17274, 25941, 27454, 1475, 24465, 2817, 6837, 2008, 347, 2767, 269, 6349, 269, 2735, 272, 476, 2767, 269, 6349, 269, 2735, 273, 1475, 306, 10611, 8160, 584, 628, 328, 1475, 24465, 2817, 6837, 2008, 347, 2767, 269, 6349, 269, 2735, 271, 476, 2767, 269, 6349, 269, 2735, 272, 1475, 306, 8705, 17274, 25941, 27454, 1475, 24465, 2817, 6837, 2008, 26244, 760, 584, 814, 1831, 513, 2462, 3872, 13398, 540, 932, 1002, 26385, 3258, 327, 1813, 547, 519, 4527, 540, 1082, 32112, 540, 3084, 2956, 538, 4702, 267, 2359, 267, 2564, 543, 1876, 269, 898, 568, 519, 1152, 2749, 538, 3127, 799, 568, 1753, 547, 4083, 300, 267, 715, 3951, 267, 589, 2862, 5960, 267, 670, 6118, 520, 31608, 2817, 4521, 2160, 630, 295, 301, 299, 308, 1070, 543, 8633, 307, 563, 268, 4095, 4659, 540, 5004, 630, 2862, 300, 264, 14780, 760, 584, 454, 268, 670, 6118 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20606, 476, 1691, 267, 476, 1220, 279, 454, 294, 25366, 11188, 3288, 4347, 839, 320, 10960, 454, 27154, 10304, 960, 568, 2352, 2429, 519, 1158, 267, 855, 2027, 2591, 3068, 713, 476, 1220, 279, 10960, 5917, 11229, 269, 6792, 4975, 568, 1753, 547, 606, 6059, 476, 274, 269, 276, 2929, 5243, 267, 1079, 22188, 540, 799, 616, 15602, 269, 10960, 28877, 4031, 616, 4617, 543, 14605, 24451, 269, 4270, 936, 3368, 540, 519, 1480, 2551, 2729, 538, 6710, 269, 8616, 1256, 538, 891, 2175, 267, 4658, 585, 519, 16470, 540, 12292, 267, 610, 717, 7968, 6395, 585, 922, 5053, 2012, 267, 814, 4278, 1882, 543, 1831, 835, 540, 519, 1034, 9565, 3662, 4027, 3906, 538, 6792, 563, 293, 15903, 538, 476, 1220, 271, 267, 717, 7968, 6395, 5713, 607, 513, 21757, 5264, 585, 28877, 5359, 543, 6571, 269, 11554, 609, 15321, 27192, 267, 519, 3919, 20781, 547, 827, 32210, 28877, 5359, 829, 1032, 267, 20547, 873, 998, 8227, 2069, 610, 3656, 2962, 269, 4014, 4540, 4031, 616, 4617, 267, 717, 7968, 6395, 814, 1336, 3860, 2081, 547, 19439, 3662, 705, 22852, 998, 4540, 6054, 267, 543, 814, 13175, 7432, 519, 20352, 538, 3662, 1876, 269, 1358, 849, 960, 609, 824, 3906, 543, 24181, 593, 13959, 3662, 2152, 267, 2324, 538, 1880, 547, 3247, 519, 11375, 636, 2033, 855, 1455, 2259, 540, 552, 30984, 676, 6850, 322, 1081, 563, 9391, 296, 1185, 519, 8956, 540, 2324, 5702, 609, 717, 7968, 6395, 538, 6792, 538, 476, 1220, 278, 950, 519, 7013, 1533, 540, 21741, 553, 1723, 4810, 519, 10782, 14700, 538, 476, 2004, 1296, 269, 634, 2229, 6059, 602, 476, 272, 269, 279, 2929, 2212, 540, 13184, 543, 909, 547, 476, 2568, 267, 1822, 13959, 2831, 941, 4299, 269, 717, 7968, 6395, 15527, 3533, 267, 4358, 513, 5859, 547, 2445, 7727, 543, 10891, 13538, 585, 519, 3662, 8323, 3646, 269, 1879, 670, 10485, 8452, 538, 21741, 553, 1723, 267, 717, 7968, 6395, 729, 2907, 593, 741, 1259, 609, 5722, 13538, 267, 835, 543, 513, 3368, 9748, 540, 1426, 543, 18915, 7727, 269, 634, 717, 7968, 6395, 2319, 6170, 513, 3923, 538, 519, 4299, 1858, 267, 3246, 1416, 547, 2831, 538, 21741, 553, 1723, 543, 538, 519, 1533, 540, 15616, 777, 553, 563, 1103, 476, 1220, 279, 267, 717, 7968, 6395, 729, 15747, 538, 922, 948, 609, 519, 1101, 5993, 3486, 1975, 599, 4303, 676, 8757, 856, 547, 811, 982, 476, 273, 267, 1822, 1004, 538, 519, 1292, 4009, 540, 6792, 4975, 269, 717, 7968, 6395, 3177, 1344, 593, 519, 2956, 540, 10322, 559, 1944, 13959, 2831, 563, 24109, 2033, 5980, 4139, 7249, 7806, 12885, 717, 7968, 6395, 585, 922, 1082, 10781, 543, 568, 10583, 547, 581, 28337, 609, 713, 476, 1220, 279, 10960, 25635, 919, 8366, 2465, 269, 0, 307, 15957, 6840, 616, 1565, 547, 6330, 741, 1158, 267, 5968, 267, 543, 454, 31553, 930, 2694, 540, 741, 2729, 269, 1358, 1810, 1405, 2965, 723, 1852, 936, 454, 332, 1276, 267, 855, 4189, 568, 835, 540, 519, 1101, 2127, 789, 786, 4487, 563, 29261, 666, 948, 873, 2972, 741, 3908, 1379, 676, 4758, 873, 454, 14363, 5666, 540, 5191, 950, 621, 2501, 547, 7446, 3536, 543, 454, 6546, 781, 711, 547, 2161, 20854, 616, 14045, 1018, 547, 723, 585, 12129, 563, 29261, 723, 519, 1271, 2816, 540, 3246, 519, 5686, 540, 3536, 602, 606, 454, 5562, 22525, 2115, 269, 589, 2385, 781, 1909, 568, 547, 1459, 2635, 3536, 543, 454, 2280, 513, 1126, 6430, 799, 3283, 547, 3548, 910, 610, 2436, 547, 3548, 693, 782, 269, 14205, 11803, 454, 18499, 666, 27464, 513, 22525, 4724, 2635, 4189, 267, 855, 1522, 723, 547, 798, 454, 527, 538, 513, 4739, 344, 1259, 563, 3528, 9027, 908, 2042, 543, 5356, 5079, 267, 3237, 4001, 3214, 454, 6518, 5615, 786, 6556, 2318, 2164, 543, 799, 3283, 4465, 1405, 563, 2080, 781, 875, 547, 2490, 1455, 4145, 883, 3255, 547, 4001, 2635, 4189, 6208, 563, 7197, 25595, 6840, 3657, 17292, 344, 661, 11596, 454, 6624, 20854, 2769, 741, 27503, 7115, 998, 4189, 910, 610, 454, 2254, 4189, 267, 607, 519, 2013, 949, 581, 269, 1924, 5176, 782, 20854, 1223, 581, 454, 9188, 8282, 607, 4584, 344, 3548, 619, 269, 1403, 3214, 1810, 1405, 899, 513, 1426, 267, 789, 4465, 1405, 3548, 621, 20620, 7224, 15177, 2257, 972, 563, 9989, 707, 22525, 1616, 547, 3548, 1152, 5672, 16336, 328, 543, 10381, 286, 1879, 513, 1126, 454, 529, 12758, 593, 835, 1426, 267, 513, 2385, 1522, 1745, 7142, 547, 4196, 602, 1426, 454, 22336, 1554, 865, 519, 1126, 22655, 1945, 269, 1809, 5555, 519, 1126, 949, 12483, 454, 1993, 602, 1426, 910, 543, 1287, 1018, 888, 2791, 3442, 519, 3536, 593, 707, 22525, 781, 6676, 910, 543, 596, 1810, 1405, 723, 547, 454, 338, 2925, 5672, 16336, 328, 543, 10381, 3232, 269, 1403, 596, 798, 267, 596, 4413, 606, 4316, 547, 454, 842, 28558, 1007, 3536, 543, 2333, 519, 1297, 540, 1346, 707, 1126, 568, 454, 342, 3739, 547, 3548, 269, 4107, 834, 25988, 795, 4711, 2437, 607, 789, 2811, 1419, 1572, 267, 4465, 1405, 2063, 454, 14075, 952, 3237, 1810, 1405, 13918, 873, 563, 27736, 4465, 1405, 5182, 557, 543, 789, 786, 1451, 547, 581, 811, 8465, 2864, 982, 454, 2998, 17237, 269, 10558, 513, 3099, 540, 2635, 3536, 910, 1519, 3964, 454, 325, 2948, 2572, 543, 930, 1007, 3536, 910, 547, 1118, 909, 519, 10624, 269, 2659, 22525, 949, 454, 31162, 21215, 596, 835, 1554, 676, 4189, 782, 540, 873, 563, 7312, 22525, 3085, 1405, 899, 3039, 10365, 519, 1101, 942, 1472, 286, 5213, 1405, 454, 17380, 7674, 873, 269, 8866, 616, 6923, 3500, 547, 3398, 1007, 16919, 543, 454, 3667, 999, 267, 865, 1832, 32543, 18166, 519, 10365, 269, 31160, 513, 1507, 6712, 543, 454, 16780, 5971, 707, 1126, 547, 2119, 513, 11116, 1510, 562, 698, 3101, 610, 16550, 563, 4517, 581, 2386, 596, 2811, 4259, 513, 1434, 1383, 256, 31160, 14312, 3536, 454, 7474, 596, 899, 610, 3548, 1945, 1007, 865, 707, 3214, 1294, 596, 11981, 1018, 454, 9767, 2811, 6998, 873, 547, 3548, 563, 5649, 811, 593, 713, 1888, 269, 0, 20124, 15894, 281, 5192, 339, 1399, 16103, 454, 15933, 22166, 949, 3132, 2589, 2147, 547, 1426, 11959, 267, 971, 607, 14159, 16081, 4771, 269, 1809, 1247, 1004, 609, 3020, 1426, 11959, 1590, 2057, 1055, 2056, 3536, 15587, 267, 1004, 609, 1426, 22166, 666, 1419, 3548, 930, 540, 519, 1055, 2056, 1426, 1510, 7092, 2589, 269, 634, 2179, 602, 949, 581, 13881, 1354, 2589, 2408, 568, 2356, 1360, 1507, 543, 9775, 609, 1142, 1367, 563, 20062, 2894, 29332, 7495, 5084, 14888, 30888, 2464, 25758, 589, 11550, 25770, 300, 454, 7021, 519, 1296, 267, 1004, 723, 4080, 547, 15111, 8801, 6547, 547, 1978, 1426, 21187, 267, 1519, 607, 4820, 877, 630, 320, 6653, 10273, 1070, 1395, 657, 18754, 22965, 600, 622, 630, 320, 8137, 2573, 22083, 1070, 16247, 2861, 29089, 2510, 267, 543, 25188, 23432, 710, 267, 849, 1634, 607, 674, 291, 261, 290, 14117, 3143, 269, 476, 276, 630, 320, 1426, 2681, 1040, 634, 5313, 5253, 267, 10684, 267, 543, 15328, 8714, 2920, 3340, 602, 15111, 2327, 519, 3106, 540, 782, 6878, 3773, 547, 3536, 267, 855, 1367, 1072, 2175, 3006, 2014, 2042, 609, 1978, 21187, 563, 5475, 17265, 3621, 2090, 267, 15111, 5462, 538, 476, 2735, 272, 602, 607, 4820, 877, 729, 2922, 585, 946, 538, 3536, 269, 769, 476, 2735, 278, 267, 519, 4937, 19098, 8433, 11567, 519, 1184, 4478, 15111, 781, 13170, 540, 607, 4820, 877, 543, 9672, 519, 8116, 1185, 19500, 5265, 269, 1717, 267, 15111, 814, 4797, 547, 2689, 20286, 10246, 3101, 8801, 6547, 547, 2472, 5627, 607, 4820, 877, 269, 1677, 4266, 267, 15111, 814, 711, 5462, 1022, 5812, 4806, 540, 2589, 602, 666, 581, 11911, 547, 519, 946, 540, 607, 4820, 877, 267, 6862, 568, 519, 8116, 3222, 540, 1022, 2487, 2090, 602, 5693, 1397, 3106, 2042, 563, 22512, 2685, 6417, 4791, 2090, 1397, 602, 607, 4820, 877, 568, 711, 606, 6784, 523, 269, 1717, 267, 1978, 1004, 609, 519, 4719, 2068, 4307, 2643, 8208, 517, 22202, 630, 303, 298, 308, 1070, 1346, 609, 4359, 6797, 2068, 267, 543, 9176, 2021, 609, 5409, 335, 1156, 2643, 23750, 710, 630, 14683, 2157, 540, 4307, 2643, 23750, 710, 538, 1973, 264, 723, 513, 1966, 609, 607, 4820, 877, 1317, 789, 798, 711, 3927, 8311, 1125, 519, 11254, 3679, 4307, 2643, 23750, 710, 267, 835, 540, 607, 4820, 877, 781, 3334, 269, 4400, 2157, 540, 713, 11254, 3679, 538, 1560, 12862, 666, 2014, 2634, 3441, 269, 4475, 267, 15111, 814, 12199, 602, 782, 2472, 5627, 607, 4820, 877, 1590, 1331, 513, 9963, 547, 4307, 2643, 8208, 517, 584, 923, 602, 519, 6653, 10273, 3568, 4307, 2643, 23750, 710, 269, 0, 32491, 1374, 1299, 2359, 454, 1432, 1281, 713, 3296, 1331, 888, 763, 2994, 3769, 538, 713, 7121, 1445, 593, 8888, 543, 7598, 2937, 2069, 2533, 547, 11126, 6267, 685, 8404, 543, 2702, 547, 7390, 543, 6414, 269, 634, 1883, 2994, 9305, 547, 8380, 538, 1747, 3889, 267, 971, 607, 16649, 2176, 610, 1565, 11444, 267, 543, 3157, 267, 971, 607, 2875, 9525, 693, 782, 2157, 610, 1210, 1982, 1239, 547, 1217, 4058, 269, 20661, 685, 28146, 2115, 585, 8116, 267, 2146, 267, 16169, 267, 9355, 540, 3483, 267, 10083, 543, 6617, 616, 3730, 538, 13057, 519, 1646, 540, 1982, 4507, 543, 2853, 602, 1489, 18094, 563, 1432, 568, 519, 4276, 1063, 1982, 1374, 543, 2359, 543, 18094, 888, 22923, 18094, 568, 1419, 2219, 540, 607, 513, 4161, 547, 581, 9619, 998, 4928, 2861, 9283, 269, 8616, 1034, 18094, 2994, 991, 547, 581, 6462, 676, 1982, 7400, 4507, 267, 3889, 267, 543, 2853, 269, 1280, 1383, 267, 519, 2139, 1382, 5267, 602, 7307, 27350, 543, 16126, 593, 2875, 16649, 2176, 6971, 4928, 31285, 543, 11729, 3152, 18094, 269, 901, 4015, 2882, 513, 3099, 540, 1806, 540, 875, 1982, 1374, 543, 2359, 1107, 689, 1982, 17008, 547, 5234, 2866, 547, 20343, 4507, 1107, 5540, 18094, 563, 15311, 281, 3367, 811, 827, 2994, 610, 1582, 12431, 20156, 269, 0, 293, 5893, 543, 2659, 476, 1724, 268, 547, 476, 1240, 4458, 6040, 454, 19894, 2168, 2534, 666, 948, 2061, 2295, 2068, 267, 3987, 267, 543, 824, 2564, 2042, 1524, 519, 4155, 269, 1809, 1810, 1405, 30391, 519, 7525, 2640, 540, 606, 3742, 6197, 281, 4509, 513, 2635, 2597, 267, 4743, 811, 17615, 267, 543, 5009, 513, 1732, 19773, 269, 12160, 908, 538, 2319, 543, 1367, 5026, 267, 666, 5818, 1582, 21873, 267, 1683, 3255, 585, 1514, 5872, 267, 543, 2709, 513, 4960, 547, 723, 1187, 269, 6270, 2640, 616, 711, 3908, 547, 8013, 5026, 282, 1875, 4818, 564, 1438, 2238, 666, 849, 948, 12322, 3035, 891, 3853, 563, 293, 5893, 538, 519, 24635, 13012, 454, 16498, 2534, 11148, 547, 7771, 1282, 519, 7141, 1296, 269, 3509, 12322, 616, 21177, 856, 540, 6896, 5026, 543, 7589, 538, 3232, 2168, 2069, 5049, 568, 4742, 513, 3364, 540, 519, 2250, 563, 3719, 2016, 519, 4316, 543, 1719, 267, 12322, 666, 4584, 909, 593, 3592, 1022, 2534, 602, 789, 2972, 267, 689, 8013, 547, 1875, 4818, 564, 1438, 5026, 689, 3635, 5049, 547, 4730, 609, 2828, 269, 4787, 622, 24692, 267, 538, 11060, 1236, 908, 267, 10649, 267, 10977, 267, 15472, 267, 610, 737, 10107, 513, 3723, 321, 698, 538, 519, 5397, 3118, 782, 20618, 607, 1390, 8516, 2238, 269, 13379, 2866, 267, 896, 15569, 540, 513, 11727, 2937, 267, 666, 2087, 4222, 543, 948, 2061, 5026, 7063, 269, 634, 7399, 547, 1205, 9308, 3514, 616, 11995, 563, 5938, 839, 666, 849, 6451, 2534, 883, 741, 4948, 6296, 267, 971, 607, 6972, 547, 1153, 267, 3257, 26050, 267, 610, 4466, 606, 3742, 851, 6066, 2816, 269, 4634, 7820, 12322, 666, 2972, 3255, 547, 1491, 593, 1007, 9021, 543, 581, 538, 5279, 267, 865, 6009, 607, 21738, 3786, 24784, 267, 4816, 1694, 1562, 267, 610, 13930, 19393, 585, 1762, 5026, 6887, 666, 4196, 602, 991, 1247, 849, 3246, 519, 1126, 609, 513, 4960, 547, 581, 3742, 563, 300, 582, 22899, 1855, 839, 547, 581, 15765, 454, 5938, 839, 3068, 1082, 1007, 1514, 543, 4081, 12503, 538, 1840, 547, 7231, 609, 3929, 543, 2168, 2242, 269, 10765, 2090, 723, 3254, 602, 12322, 593, 3328, 616, 7836, 811, 982, 476, 277, 3108, 513, 1554, 593, 1585, 2923, 267, 1519, 8384, 8613, 267, 6947, 547, 2575, 267, 2469, 2228, 267, 543, 4730, 3381, 3756, 269, 898, 781, 711, 9670 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 292, 12076, 8759, 281, 700, 262, 770, 6331, 773, 5918, 561, 643, 516, 632, 774, 582, 630, 9965, 276, 1070, 647, 643, 773, 632, 5589, 615, 2583, 1147, 561, 262, 7290, 334, 790, 632, 561, 262, 770, 6331, 773, 1696, 5918, 20579, 582, 2580, 533, 269, 476, 4029, 994, 3719, 538, 711, 513, 2582, 2013, 723, 1022, 267, 2436, 1965, 582, 20143, 5837, 9088, 610, 3621, 12206, 267, 6035, 2963, 5007, 547, 519, 20579, 582, 689, 519, 2038, 476, 1428, 628, 2540, 610, 4505, 585, 621, 269, 901, 1223, 581, 1317, 972, 568, 9039, 547, 581, 1336, 269, 2368, 723, 3773, 740, 554, 665, 3137, 610, 2963, 267, 1247, 1866, 723, 3274, 7150, 621, 1510, 1351, 13681, 2610, 269, 769, 519, 1739, 10530, 267, 4063, 519, 946, 540, 2474, 899, 968, 531, 1811, 5608, 968, 684, 1392, 958, 5608, 610, 968, 10177, 3431, 892, 1107, 513, 17720, 1688, 2914, 1511, 538, 519, 4287, 540, 519, 5467, 779, 14882, 267, 799, 538, 4641, 3765, 29715, 338, 267, 2476, 689, 519, 3020, 2116, 2579, 540, 519, 968, 10177, 6463, 892, 7681, 269, 5272, 7853, 2798, 547, 519, 2757, 543, 1134, 8153, 22530, 819, 267, 855, 18864, 2488, 1022, 2963, 540, 621, 689, 519, 942, 543, 1747, 540, 20579, 582, 779, 5169, 563, 12901, 334, 710, 7040, 632, 717, 2946, 10964, 514, 630, 9965, 272, 267, 533, 269, 476, 23841, 1070, 593, 1297, 2473, 7656, 267, 12280, 281, 968, 2005, 568, 15991, 9670, 602, 621, 1058, 581, 5116, 896, 713, 1297, 282, 519, 1297, 24369, 729, 2141, 9833, 607, 25031, 269, 898, 1590, 581, 602, 1279, 3516, 930, 1390, 3765, 325, 28232, 5949, 593, 971, 513, 1554, 267, 543, 602, 519, 3965, 540, 621, 1185, 3310, 593, 782, 519, 3504, 8315, 269, 631, 697, 621, 581, 607, 513, 1267, 540, 713, 3965, 602, 519, 24369, 17650, 525, 540, 519, 1261, 3691, 9749, 941, 2760, 18886, 607, 824, 982, 12964, 18313, 4467, 974, 632, 9253, 2280, 630, 9965, 272, 267, 533, 269, 476, 4375, 279, 2567, 968, 1320, 597, 18818, 282, 713, 1297, 267, 2141, 25031, 267, 568, 6131, 547, 12280, 267, 945, 568, 3254, 544, 12976, 1524, 9843, 1312, 7715, 2740, 543, 1455, 3034, 11990, 2701, 874, 731, 630, 2735, 276, 267, 533, 269, 476, 10755, 2567, 968, 763, 1297, 24369, 267, 1739, 519, 19870, 540, 12964, 267, 814, 2141, 1044, 2404, 609, 2669, 269, 898, 729, 513, 12576, 540, 519, 7831, 2672, 3899, 540, 2441, 609, 1010, 12964, 19980, 956, 3034, 27144, 966, 269, 744, 685, 10468, 650, 630, 2735, 277, 267, 533, 269, 476, 27183, 2567, 968, 763, 1297, 24369, 568, 24080, 519, 1297, 540, 2669, 543, 9568, 269, 3509, 1804, 20730, 723, 1100, 19412, 18818, 6989, 1317, 519, 14882, 1996, 24369, 568, 865, 1455, 1256, 538, 938, 2486, 3034, 288, 1652, 18588, 772, 7666, 764, 542, 328, 630, 8586, 538, 968, 299, 685, 6625, 690, 571, 325, 807, 2554, 2993, 818, 4754, 328, 4012, 326, 1640, 328, 5608, 538, 26450, 328, 267, 717, 269, 1656, 589, 269, 966, 1388, 328, 267, 32308, 1421, 476, 2735, 278, 267, 533, 269, 476, 11260, 2567, 968, 1103, 519, 1034, 2487, 1806, 513, 2147, 12835, 2762, 568, 12873, 267, 543, 519, 1003, 3130, 849, 3788, 3586, 267, 1373, 2141, 519, 1297, 476, 1724, 267, 610, 519, 796, 331, 13806, 1297, 3034, 26469, 26036, 517, 630, 1220, 275, 267, 6032, 269, 476, 14093, 268, 15686, 2567, 968, 1862, 1082, 1232, 802, 2966, 4481, 585, 7047, 2674, 1097, 723, 6854, 713, 3556, 538, 519, 12926, 796, 331, 13806, 19412, 18818, 2990, 538, 519, 25041, 5311, 907, 3034, 27144, 631, 269, 9255, 630, 1220, 276, 267, 533, 269, 476, 5611, 2567, 968, 1103, 782, 519, 1634, 2038, 9753, 540, 519, 959, 7927, 12280, 568, 2141, 1297, 24369, 269, 1306, 24369, 568, 513, 1297, 2404, 609, 3983, 9939, 543, 2669, 267, 713, 5267, 602, 12280, 729, 2016, 713, 1297, 585, 12572, 4128, 3034, 1103, 2835, 8156, 519, 13513, 540, 2338, 998, 1686, 267, 649, 798, 711, 538, 1249, 1265, 602, 476, 1724, 729, 2141, 267, 12926, 267, 610, 1454, 1447, 968, 684, 1392, 958, 5608, 2808, 796, 331, 13806, 269, 769, 1249, 519, 9998, 13513, 3947, 621, 513, 2318, 25664, 566, 269, 9210, 13023, 1415, 568, 519, 476, 1724, 628, 1554, 1310, 2441, 779, 4332, 267, 519, 13642, 26499, 4967, 12462, 22977, 13023, 1415, 26158, 5565, 3226, 1271, 5717, 540, 519, 9998, 2963, 585, 519, 22530, 819, 616, 14929, 704, 779, 968, 8469, 8148, 7089, 29526, 892, 630, 653, 269, 476, 9873, 742, 4700, 543, 26637, 1408, 30086, 1156, 1889, 9807, 267, 476, 1724, 281, 634, 9452, 540, 519, 2622, 779, 4107, 15019, 8111, 560, 819, 630, 653, 269, 476, 5655, 268, 6246, 1040, 30086, 1156, 1889, 9807, 267, 1603, 538, 476, 1220, 275, 267, 4667, 23387, 540, 14929, 704, 607, 513, 2707, 267, 855, 899, 14929, 704, 476, 3199, 1296, 4505, 267, 20147, 602, 519, 22530, 819, 1185, 922, 8129, 538, 519, 3661, 602, 7225, 553, 610, 4906, 729, 519, 476, 1724, 628, 693, 519, 3349, 538, 519, 7831, 2672, 3899, 563, 763, 9998, 4704, 547, 513, 22530, 819, 827, 968, 1724, 693, 513, 3349, 892, 2943, 1634, 729, 1336, 676, 14929, 704, 476, 3199, 1296, 3516, 267, 538, 519, 3647, 9820, 540, 8053, 5218, 324, 630, 289, 330, 269, 8633, 267, 524, 269, 642, 13839, 282, 1309, 269, 476, 15647, 276, 1040, 8053, 5218, 324, 11339, 912, 17606, 4667, 547, 803, 2300, 20608, 952, 594, 4782, 519, 9642, 547, 519, 1256, 1297, 267, 513, 13628, 547, 513, 11016, 267, 952, 594, 899, 811, 519, 1000, 27097, 610, 2185, 18818, 982, 513, 19412, 18818, 693, 519, 3349, 907, 3034, 295, 32111, 9060, 519, 1101, 2942, 25664, 725, 540, 519, 1297, 2016, 676, 623, 2884, 549, 645, 784, 334, 538, 968, 7069, 10973, 2801, 23168, 28262, 892, 630, 539, 1431, 540, 476, 15647, 275, 543, 1739, 1296, 2187, 2108, 30821, 6350, 645, 2426, 639, 568, 519, 1101, 818, 603, 332, 6048, 547, 5431, 1022, 9409, 7915, 538, 519, 1297, 269, 1261, 5638, 602, 519, 7642, 9597, 332, 3293, 476, 1724, 2053, 1996, 2696, 538, 519, 608, 21402, 689, 5527, 267, 602, 519, 19412, 18818, 533, 15680, 332, 4145, 29063, 1145, 543, 13313, 267, 602, 519, 4931, 17800, 540, 5840, 7018, 538, 519, 19412, 18818, 1032, 267, 3976, 711, 8757, 519, 9547, 540, 519, 4521, 543, 519, 5345, 13370, 1235, 267, 799, 616, 23125, 676, 476, 1015, 543, 476, 275, 269, 1306, 476, 1556, 568, 513, 1297, 540, 1098, 326, 1833, 267, 1317, 621, 4422, 3564, 519, 476, 1015, 16710, 906, 267, 865, 476, 1724, 4422, 3564, 519, 476, 1321, 24347, 956, 269, 4475, 267, 554, 545, 3875, 7225, 2801, 28262, 3454, 520, 791, 2884, 622, 332, 269, 634, 3105, 9000, 540, 1022, 971, 7778, 538, 519, 818, 603, 332, 3098, 3947, 519, 12705, 602, 2442, 3661, 1185, 7142, 2390, 519, 17308, 713, 11213, 543, 2864, 14955, 9109, 1424, 7664, 540, 519, 16710, 906, 543, 519, 27076, 269, 8053, 5218, 324, 779, 703, 11582, 602, 519, 22530, 819, 729, 4922, 538, 642, 4084, 1131, 4043, 547, 7903, 922, 5169, 1394, 693, 2547, 547, 519, 5664, 12698, 3034, 300, 2632, 5218, 324, 779, 782, 4288, 547, 621, 267, 1851, 513, 1592, 540, 824, 22530, 1431, 267, 10522, 267, 607, 14929, 704, 4967, 267, 602, 621, 729, 513, 2442, 3661, 630, 553, 10353, 547, 513, 7142, 543, 4121, 25127, 1070, 799, 1131, 581, 1360, 2352, 547, 10250, 538, 2854, 3332, 269, 634, 20579, 582, 4061, 4667, 547, 581, 519, 9998, 7198, 602, 513, 536, 2033, 995, 7681, 609, 519, 1297, 11478, 693, 782, 563, 763, 4143, 15102, 689, 14929, 704, 543, 30086, 1156, 1889, 9807, 1246, 563, 309, 514, 1417, 23340, 14929, 704, 267, 968, 8469, 8148, 7089, 29526, 892, 630, 4350, 279, 282, 1585, 1065, 29251, 264, 6032, 269, 476, 9873, 742, 269, 912, 10527, 4583, 2048, 684, 331, 13806, 476, 1724, 685, 543, 2523, 519, 11313, 1724, 693, 3349, 685, 568, 267, 594, 3494, 267, 11214, 4448, 609, 713, 2245, 1496, 1993, 476, 1321, 5892, 5941, 4940, 645, 7238, 330, 6352, 1496, 291, 773, 796, 6921, 6686, 4242, 345, 629, 331, 667, 516, 1125, 16818, 3768, 1775, 327, 516, 7242, 27528, 16170, 324, 583, 2426, 316, 814, 13986, 547, 6961, 519, 9860, 540, 519, 22530, 819, 607, 2038, 607, 25264, 545, 2053, 267, 855, 1010, 2963, 568, 6537, 689, 1010, 1378, 6602, 540, 8320, 1141, 513, 3765, 325, 28232, 568, 1767, 547, 723, 7018, 547, 835, 540, 476, 1724, 2043, 269, 594, 3112, 3494, 713, 1826, 540, 2963, 547, 581, 4570, 267, 2094, 519, 1297, 568, 2760, 7682, 539, 547, 581, 519, 2014, 540, 519, 3765, 325, 28232, 6862, 568, 621, 2479, 2047, 13042, 607, 2048, 684, 331, 13806, 685, 538, 1022, 4901, 540, 1713, 2338, 610, 11992, 269, 634, 1101, 1808, 2446, 540, 519, 796, 331, 13806, 476, 1724, 799, 594, 723, 1044, 2111, 547, 1265, 4386, 538, 8053, 5218, 324, 281, 2048, 4517, 803, 3100, 996, 594, 949, 1134, 581, 2300, 4310, 952, 594, 2864, 4849, 606, 9642, 1297, 982, 606, 1256, 1862, 1403, 594, 1185, 2864, 1118, 513, 1000, 27097, 610, 2185, 18818, 693, 513, 3349, 267, 1287, 513, 19412, 18818, 1862, 2353, 971, 23816, 10703, 1080, 267, 1631, 538, 5491, 827, 721, 267, 17330, 693, 2547, 547, 581, 19557, 21349, 10200, 1496, 10497, 9820, 267, 645, 330, 269, 8633, 267, 4828, 24163, 267, 2048, 8170, 519, 3203, 540, 1230, 2536, 2590, 685, 630, 293, 3271, 1470, 8144, 13580, 563, 10527, 1249, 602, 519, 1297, 729, 2404, 609, 9210, 13023, 1415, 676, 519, 5783, 267, 543, 5526, 711, 723, 1044, 2808, 824, 982, 13411, 676, 1022, 540, 519, 10120, 1297, 28466, 5012, 547, 519, 23221, 602, 519, 796, 331, 13806, 476, 1724, 729, 513, 2442, 22530, 819, 7357, 30890, 689, 519, 2048, 14396, 540, 2338, 10200, 8891, 6350, 645, 2426, 639, 568, 519, 1101, 818, 603, 332, 6048, 547, 5431, 1022, 9409, 7915, 538, 519, 1297, 269, 1261, 5638, 602, 519, 7642, 9597, 332, 3293, 476, 1724, 2053, 1996, 2696, 538, 519, 608, 21402, 689, 5527, 267, 602, 519, 19412, 18818, 533, 15680, 332, 4145, 29063, 1145, 543, 13313, 267, 602, 519, 4931, 17800, 540, 5840, 7018, 538, 519, 19412, 18818, 1032, 267, 3976, 711, 8757, 519, 9547, 540, 519, 4521, 543, 519, 5345, 13370, 1235, 267, 799, 616, 23125, 676, 476, 1015, 543, 476, 275, 269, 1306, 476, 1556, 568, 513, 1297, 540, 1098, 326, 1833, 267, 1317, 621, 4422, 3564, 519, 476, 1015, 16710, 906, 267, 865, 476, 1724, 4422, 3564, 519, 476, 1321, 24347, 956, 269, 4475, 267, 554, 545, 3875, 7225, 2801, 28262, 3454, 520, 791, 2884, 622, 332, 269, 634, 3105, 9000, 540, 1022, 971, 7778, 538, 519, 818, 603, 332, 3098, 3947, 519, 12705, 602, 2442, 3661, 1185, 7142, 2390, 519, 17308, 713, 11213, 543, 2864, 14955, 9109, 1424, 7664, 540, 519, 16710, 906, 543, 519, 27076, 269, 8053, 5218, 324, 779, 703, 11582, 602, 519, 22530, 819, 729, 4922, 538, 642, 4084, 1131, 4043, 547, 7903, 922, 5169, 1394, 693, 2547, 547, 519, 5664, 12698, 269, 1677, 1265, 513, 476, 1724, 799, 1522, 2442, 569, 3035, 536, 1446, 995, 25664, 725, 568, 865, 2653, 602, 594, 1058, 2864, 3651, 519, 22530, 819, 547, 513, 1476, 26475, 540, 2188, 267, 2864, 982, 547, 513, 2582, 2707, 563, 2108, 4415, 5176, 1169, 2757, 476, 1321, 267, 513, 476, 1724, 568, 11214, 2404, 269, 23778, 5006, 538, 942, 568, 519, 954, 5632, 730, 19412, 18818, 3923, 267, 799, 645, 7238, 330, 6352, 31234, 729, 9833, 607, 1167, 867, 656, 543, 796, 331, 13806, 1496, 28926, 269, 3632, 269, 6032, 269, 476, 279, 268, 280, 4940, 28732, 23216, 602, 971, 729, 3006, 519, 2013, 1496, 27916, 17963, 267, 533, 269, 476, 28510, 4940, 1703, 568, 513, 28795, 4960, 602, 513, 2245, 267, 1256, 607, 7334, 607, 713, 267, 1522, 723, 1044, 30375, 10299, 547, 519, 5664, 12698, 269, 1703, 568, 513, 1454, 1732, 4960, 602, 519, 9631, 30876, 6974, 476, 1724, 540, 519, 16264, 543, 28689, 4783, 1500, 519, 1297, 12194, 727, 267, 610, 693, 2547, 10002, 641, 983, 563, 2108, 4263, 519, 1482, 942, 267, 519, 1297, 949, 723, 1831, 2442, 569, 2404, 609, 519, 1019, 21966, 673, 6575, 269, 769, 13056, 755, 779, 21001, 31397, 3203, 543, 3883, 540, 3057, 12069, 267, 610, 519, 4563, 681, 13273, 267, 476, 1724, 616, 1767, 547, 17492, 519, 5606, 1716, 531, 28762 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13557, 540, 519, 6114, 563, 8368, 476, 273, 281, 27872, 30880, 563, 18871, 1068, 2305, 3590, 1475, 260, 30880, 2008, 347, 13563, 10326, 12426, 3590, 610, 11083, 12396, 1475, 271, 260, 2008, 347, 20288, 560, 19731, 13734, 7027, 610, 674, 17092, 1475, 10619, 260, 2008, 16085, 20980, 32645, 19541, 610, 24700, 296, 1475, 6924, 260, 2008, 347, 4692, 6598, 11621, 2667, 665, 269, 12655, 11206, 27002, 31198, 269, 3590, 610, 595, 6347, 4149, 30820, 1475, 271, 260, 2008, 347, 25284, 1889, 585, 519, 7736, 16017, 618, 540, 11206, 27872, 610, 623, 9128, 290, 1475, 1556, 260, 2008, 763, 1533, 540, 16855, 3091, 513, 1895, 4104, 1633, 13995, 538, 519, 12655, 32645, 19541, 267, 1977, 10326, 12426, 267, 543, 11206, 19731, 13734, 7027, 1949, 585, 4104, 1633, 5411, 563, 2691, 4280, 952, 513, 2147, 1895, 13995, 585, 1957, 4780, 1562, 1131, 4324, 741, 9744, 267, 476, 4343, 260, 14452, 602, 621, 1131, 581, 513, 4324, 563, 23804, 4074, 630, 12921, 2683, 610, 5667, 330, 2683, 264, 814, 12735, 4240, 782, 6080, 2094, 519, 6855, 269, 7305, 476, 274, 3877, 7694, 2338, 607, 1134, 607, 1930, 7158, 585, 14775, 3549, 269, 634, 1239, 2982, 602, 10283, 3549, 941, 1134, 6719, 2066, 782, 7694, 2450, 6688, 269, 9540, 518, 3549, 22157, 547, 723, 811, 851, 6066, 5520, 269, 8307, 476, 1626, 260, 540, 3549, 4080, 1100, 1930, 7158, 269, 27819, 476, 4037, 260, 540, 14775, 3549, 4080, 1063, 476, 272, 543, 476, 866, 1930, 7158, 609, 476, 280, 260, 8989, 811, 982, 476, 736, 1930, 7158, 563, 8368, 476, 274, 281, 25477, 10606, 543, 7046, 30142, 1431, 563, 347, 10387, 7877, 21145, 1475, 14085, 1475, 272, 547, 476, 275, 1475, 276, 547, 476, 866, 1475, 736, 547, 476, 4200, 1475, 1911, 610, 811, 2008, 6624, 540, 519, 14775, 3549, 723, 13234, 538, 519, 1957, 2872, 585, 5756, 269, 634, 3328, 2754, 2085, 540, 4238, 729, 476, 5655, 1296, 609, 930, 5665, 585, 1152, 476, 276, 1296, 543, 835, 4431, 550, 2348, 1044, 538, 5106, 585, 476, 9873, 1296, 269, 3807, 936, 3368, 540, 519, 17013, 267, 476, 7367, 9077, 1767, 789, 1544, 547, 1332, 610, 4228, 741, 9744, 538, 519, 1985, 2947, 1296, 609, 476, 10037, 260, 4058, 593, 10115, 538, 1007, 14291, 3937, 269, 7767, 906, 2039, 689, 7366, 540, 5215, 547, 7366, 540, 6634, 540, 9489, 607, 3254, 538, 7612, 476, 274, 269, 634, 5993, 3854, 24723, 585, 1957, 4780, 1562, 538, 16855, 814, 30714, 1269, 6110, 2929, 936, 519, 2250, 476, 276, 1296, 563, 290, 1068, 2305, 1299, 6997, 9934, 270, 8802, 17419, 13624, 690, 2524, 18025, 3174, 270, 13480, 4403, 12694, 454, 2171, 4280, 513, 3126, 540, 2055, 827, 519, 2591, 1369, 519, 14291, 2872, 269, 634, 2101, 3584, 3769, 13995, 543, 21458, 267, 9431, 267, 17825, 267, 2504, 267, 543, 13781, 2591, 630, 8201, 476, 275, 1916, 290, 1068, 2305, 1299, 6997, 9934, 543, 27943, 941, 1079, 540, 519, 2547, 4101, 6688, 630, 8201, 476, 275, 1040, 634, 1804, 4158, 4544, 13063, 3254, 538, 7612, 476, 275, 5447, 609, 711, 693, 782, 4101, 593, 938, 1353, 4336, 269, 2334, 1281, 711, 1611, 972, 616, 1100, 2591, 538, 1346, 6688, 607, 3254, 676, 519, 15454, 267, 5835, 267, 543, 1769, 4544, 13063, 269, 9717, 519, 4763, 540, 3549, 1369, 519, 1957, 14291, 2872, 267, 972, 568, 849, 513, 4763, 540, 2591, 4470, 2390, 1018, 2344, 10126, 1142, 2754, 13333, 1369, 563, 763, 8298, 2524, 7121, 9863, 3648, 811, 4101, 585, 519, 17013, 269, 7457, 547, 1854, 9535, 267, 1854, 9535, 610, 11288, 3790, 267, 543, 6325, 26708, 941, 2591, 585, 1034, 17013, 630, 8201, 476, 275, 1916, 763, 13870, 7121, 4951, 1713, 13260, 2066, 17013, 630, 8201, 476, 275, 1040, 15531, 1957, 6006, 814, 1044, 16609, 538, 2487, 3275, 269, 2290, 2754, 7150, 267, 968, 2171, 991, 1957, 269, 3776, 2872, 568, 1269, 1240, 5479, 543, 3395, 543, 649, 798, 711, 723, 2614, 6469, 3761, 540, 1957, 3068, 610, 561, 10719, 269, 7490, 948, 3034, 7661, 267, 519, 4518, 4403, 7121, 4951, 2591, 2066, 782, 17013, 269, 670, 3931, 513, 2298, 13781, 267, 20808, 513, 2298, 13781, 267, 543, 12805, 13781, 5662, 569, 13230, 538, 12721, 6080, 941, 782, 2042, 630, 8201, 476, 275, 1040, 2290, 2754, 7150, 602, 4466, 5520, 729, 5393, 2352, 269, 21894, 12434, 789, 1500, 979, 1394, 547, 11288, 543, 5520, 1317, 540, 10637, 563, 2467, 616, 3875, 3255, 585, 2866, 1369, 16855, 779, 1957, 14291, 2872, 269, 2353, 3584, 3254, 538, 7612, 476, 276, 1397, 2866, 2115, 676, 1978, 17013, 269, 11762, 971, 607, 8441, 538, 1957, 2861, 11183, 543, 6198, 23541, 543, 21187, 1397, 1713, 1719, 676, 17013, 269, 16844, 2066, 519, 2872, 4249, 513, 1909, 538, 2866, 2094, 711, 782, 3549, 723, 519, 1482, 32258, 563, 26261, 4780, 1562, 616, 1898, 585, 4264, 4104, 2359, 543, 519, 5347, 8647, 540, 3574, 543, 6775, 6990, 602, 2272, 585, 513, 521, 14184, 6712, 540, 16855, 779, 4346, 269, 18227, 891, 4213, 2635, 786, 581, 1271, 585, 519, 3574, 3761, 5832, 543, 519, 1082, 6917, 11615, 621, 2337, 1489, 563, 763, 4589, 1131, 899, 547, 9684, 519, 16855, 24700, 296, 23840, 9730, 9886, 1982, 585, 7616, 713, 1788, 269, 1284, 1131, 849, 899, 547, 9684, 16855, 779, 1957, 4780, 1562, 585, 14775, 547, 713, 1353, 1107, 2659, 942, 543, 3646, 616, 15874, 2336, 288, 18308, 281, 8845, 14332, 324, 267, 2160, 540, 16855, 5336, 611, 2581, 282, 6754, 674, 578, 2401, 267, 2160, 540, 16855, 4149, 974, 26223, 8672, 282, 7325, 773, 11831, 933, 326, 267, 22340, 11206, 15733, 12524, 267, 543, 853, 864, 344, 9652, 267, 16855, 7433, 7027, 269, 0, 763, 2557, 540, 10637, 814, 24111, 3648, 538, 519, 2475, 936, 519, 2250, 1906, 1296, 269, 24641, 519, 1699, 1279, 3856, 10637, 2557, 568, 29964, 532, 1472, 476, 275, 9077, 621, 6607, 13702, 9643, 547, 3592, 476, 280, 260, 538, 476, 1708, 273, 269, 1656, 1247, 10637, 814, 3323, 547, 6749, 267, 621, 779, 1869, 513, 2101, 3390, 585, 1082, 4892, 269, 2334, 781, 1317, 10637, 11081, 707, 11449, 1379, 1107, 538, 824, 1913, 267, 519, 1942, 540, 1919, 899, 14770, 625, 267, 3154, 267, 543, 824, 5370, 814, 8854, 909, 25409, 547, 1034, 1004, 779, 4747, 563, 2005, 781, 1271, 547, 1451, 875, 547, 11694, 707, 11449, 1379, 1282, 2053, 540, 10637, 547, 2327, 602, 707, 4747, 666, 3382, 707, 9276, 543, 2226, 707, 3044, 540, 2713, 563, 1432, 568, 623, 3420, 2084, 5295, 888, 29973, 569, 267, 11449, 1379, 630, 528, 7836, 1379, 264, 568, 519, 1871, 540, 519, 13362, 538, 6935, 547, 519, 2179, 540, 5370, 543, 2533, 596, 666, 6718, 269, 2659, 11449, 1379, 11148, 547, 6749, 1282, 1164, 10637, 269, 634, 2601, 568, 602, 519, 8375, 5777, 6971, 875, 1454, 596, 666, 6488, 547, 4444, 563, 14813, 3175, 666, 1860, 3388, 689, 707, 2702, 547, 4444, 4948, 5370, 693, 519, 17365, 4558, 547, 519, 1871, 540, 707, 9541, 563, 2080, 616, 513, 7008, 540, 824, 4128, 1946, 7836, 1379, 12772, 1282, 2053, 540, 10637, 912, 268, 634, 1942, 540, 2713, 14380, 811, 6385, 982, 707, 4747, 454, 268, 9314, 3928, 585, 1919, 899, 20251, 12029, 543, 5491, 6486, 2333, 454, 306, 599, 267, 585, 1383, 267, 596, 6170, 1269, 1911, 593, 14770, 625, 538, 519, 1032, 476, 1220, 271, 269, 769, 476, 1708, 274, 267, 596, 9364, 991, 547, 6108, 827, 1269, 14917, 547, 3382, 602, 1482, 10918, 7552, 267, 7064, 547, 10637, 269, 1411, 666, 4061, 1294, 602, 952, 707, 4747, 18387, 1405, 24111, 538, 8167, 547, 707, 7836, 267, 707, 11449, 1379, 786, 581, 2539, 563, 2252, 596, 2461, 3843, 547, 1265, 2081, 547, 11694, 707, 11449, 1379, 1282, 2053, 540, 1164, 10637, 267, 1934, 616, 930, 5363, 2994, 563, 310, 904, 547, 7665, 4476, 2659, 623, 3420, 2084, 5295, 454, 14813, 3175, 666, 581, 17173, 267, 1100, 2339, 875, 1454, 2724, 596, 1118, 269, 18641, 267, 1934, 616, 930, 4388, 547, 11694, 707, 11449, 1379, 267, 8396, 10637, 267, 543, 24390, 519, 2883, 11411, 912, 268, 25826, 707, 1875, 24207, 7836, 269, 834, 11514, 17917, 776, 7836, 257, 4016, 547, 9276, 899, 9913, 267, 18226, 856, 267, 543, 7477, 725, 269, 6875, 513, 1413, 543, 2119, 547, 2759, 1394, 269, 4634, 4227, 707, 7836, 676, 1269, 1911, 513, 3923, 666, 948, 8396, 519, 2360, 540, 10637, 269, 12338, 1394, 593, 7199, 12348, 267, 4444, 13598, 12478, 267, 543, 1491, 5413, 540, 4558, 14017, 3292, 563, 268, 5455, 707, 9806, 269, 21561, 707, 9806, 538, 707, 3232, 1272, 269, 19171, 1022, 5491, 3556, 6589, 609, 606, 5993, 13927, 269, 32468, 5573, 609, 707, 6142, 3549, 585, 513, 2539, 14167, 269, 26332, 3729, 930, 10865, 31941, 687, 269, 22732, 547, 513, 811, 10097, 4950, 610, 6049, 1544, 269, 1656, 2141, 723, 2724, 538, 9806, 547, 1683, 2883, 31289, 563, 268, 9796, 1524, 1164, 29027, 7963, 269, 15894, 3556, 1719, 3928, 616, 4867, 693, 606, 782, 6066, 1164, 540, 811, 982, 476, 736, 9077, 7064, 547, 10637, 269, 634, 3476, 596, 4163, 513, 3666, 267, 519, 811, 596, 3580, 1439, 909, 9878, 538, 1719, 269, 8347, 547, 2628, 1524, 707, 22440, 19692, 547, 1863, 909, 6666, 2095, 563, 268, 13724, 707, 7694, 3510, 269, 1403, 596, 2461, 2324, 1369, 513, 3908, 4747, 267, 2015, 2921, 593, 513, 2427, 554, 755, 548, 610, 28479, 766, 960, 269, 2107, 1491, 593, 606, 3606, 6521, 693, 960, 269, 4634, 2324, 513, 1906, 3063, 3108, 1142, 3018, 666, 948, 596, 2628, 585, 1919, 899, 14770, 625, 610, 20848, 563, 268, 9105, 585, 513, 13319, 610, 513, 6318, 269, 1403, 596, 4076, 1044, 693, 707, 1699, 2754, 585, 513, 1247, 267, 596, 949, 581, 1813, 585, 513, 13319, 610, 513, 6318, 269, 28423, 609, 707, 16108, 543, 6542, 519, 1871, 596, 3142, 547, 519, 2319, 269, 1358, 949, 581, 8348, 547, 21907, 609, 596, 269, 630, 8450, 938, 4388, 593, 1215, 547, 13724, 2659, 25477, 538, 8648, 540, 5606, 3175, 1916, 268, 6875, 593, 1970, 16151, 9541, 269, 6271, 1259, 547, 948, 8396, 10637, 543, 922, 1764, 593, 707, 11449, 1379, 568, 547, 4129, 1518, 707, 14769, 609, 1970, 16151, 9541, 269, 901, 2882, 1919, 899, 1726, 21204, 7554, 267, 2724, 2344, 6589, 267, 21113, 899, 4154, 267, 543, 3407, 1148, 563, 268, 5192, 513, 1164, 3917, 1752, 9806, 2272, 269, 4400, 3917, 1752, 9806, 6589, 4043, 547, 2628, 856, 811, 538, 1719, 982, 2757, 9806, 6589, 269, 2368, 5491, 796, 3930, 333, 267, 2146, 8492, 267, 543, 2228, 2883, 9872, 616, 4867, 5356, 1719, 3928, 540, 476, 275, 18336, 14813, 3175, 568, 9608, 454, 2026, 10637, 14380, 267, 621, 779, 1271, 547, 1174, 602, 10637, 1281, 711, 1860, 3025, 8449, 269, 898, 1419, 16125, 1970, 13867, 10820, 519, 1034, 269, 769, 1249, 267, 835, 11829, 1575, 1353, 1336, 602, 1472, 476, 10170, 260, 540, 10820, 602, 1118, 896, 1269, 2412, 267, 1822, 513, 1032, 1995, 2883, 27465, 1813, 547, 10637, 563, 3080, 540, 519, 7887, 4128, 585, 713, 568, 602, 2539, 4747, 2043, 543, 3885, 4043, 547, 6108, 1034, 540, 741, 4747, 593, 519, 30304, 1107, 899, 10519, 610, 14770, 625, 1107, 543, 723, 513, 9875, 942, 5969, 1394, 593, 24787, 776, 7836, 269, 6271, 2009, 2601, 568, 602, 789, 3335, 723, 1447, 2724, 547, 2322, 4724, 9541, 610, 824, 7221, 602, 2628, 856, 538, 1719, 563, 3719, 4747, 3884, 1406, 519, 1152, 3815, 693, 1404, 269, 2659, 2189, 6381, 849, 4249, 513, 2101, 1909, 538, 875, 10637, 5222, 596, 269, 2334, 779, 1946, 621, 779, 1271, 547, 1118, 707, 10637, 1544, 540, 4323, 1759, 593, 707, 2123, 2883, 3510, 543, 2115, 563, 2791, 666, 8396, 10637, 543, 922, 1198, 593, 596, 676, 1620, 707, 2189, 6381, 543, 3853, 543, 4058, 9935, 563, 15447, 2659, 9608, 5606, 3175, 15580, 454, 305, 1430, 982, 13156, 707, 11449, 1379, 610, 10637, 538, 2241, 2338, 267, 1589, 827, 707, 2883, 3510, 269, 901, 666, 2285, 596, 513, 1732, 2856, 540, 707, 2123, 10637, 2557, 563, 306, 599, 267, 585, 1383, 267, 596, 2461, 2582, 543, 2713, 538, 606, 7199, 2749, 855, 723, 513, 1390, 4308, 593, 10519, 1107, 5310, 1813, 547, 2713, 538, 606, 4587, 2679, 610, 2348, 1896, 887, 2174, 919, 269, 13966, 609, 713, 267, 2161, 596, 849, 1810, 1406, 1378, 513, 1286, 543, 1152, 1491, 1857, 6283, 8164, 596, 979, 856, 269, 2659, 1942, 540, 2713, 568, 2693, 547, 581, 1454, 2539, 982, 519, 3328, 1268, 267, 543, 707, 11449 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16749, 16166, 267, 519, 3791, 3247, 568, 519, 3247, 1310, 519, 1101, 3247, 543, 1354, 519, 8772, 3247, 269, 634, 3791, 3247, 568, 849, 3006, 1572, 519, 968, 16149, 3247, 3034, 763, 3791, 3247, 568, 606, 1271, 3247, 593, 513, 16749, 1899, 1317, 621, 568, 3335, 519, 3247, 1141, 26708, 543, 18213, 14884, 19467, 5196, 519, 1899, 269, 634, 3791, 3247, 568, 849, 513, 3247, 585, 14884, 602, 616, 10707, 538, 519, 6587, 4287, 563, 1692, 1082, 13515, 568, 476, 273, 269, 279, 543, 476, 275, 888, 1103, 6128, 267, 950, 596, 9062, 1079, 2898, 2338, 1927, 267, 519, 2626, 568, 2141, 513, 2898, 1297, 269, 1280, 1383, 267, 952, 596, 9062, 476, 273, 543, 476, 279, 267, 519, 2626, 568, 476, 1626, 269, 1403, 596, 9062, 476, 273, 269, 279, 543, 476, 275, 267, 519, 2626, 568, 476, 1556, 269, 273, 269, 901, 568, 1317, 476, 273, 269, 279, 568, 2731, 1175, 476, 273, 269, 279, 16611, 676, 476, 1015, 267, 799, 568, 476, 2764, 269, 476, 275, 568, 1175, 476, 275, 16611, 676, 476, 1015, 267, 799, 568, 476, 2412, 269, 1879, 596, 9062, 476, 273, 269, 279, 543, 476, 275, 267, 519, 2626, 568, 476, 1556, 269, 273, 1317, 476, 273, 269, 279, 16611, 676, 476, 275, 568, 476, 1556, 269, 273, 269, 0, 7476, 7982, 1677, 4518, 630, 5881, 281, 1626, 994, 763, 17557, 2802, 545, 2919, 1369, 24396, 14985, 543, 16851, 269, 32544, 2798, 856, 513, 19433, 1063, 16851, 1445, 593, 7082, 1143, 543, 519, 5289, 1445, 540, 17557, 1143, 269, 4197, 713, 19433, 3340, 606, 2079, 540, 2413, 24041, 2534, 543, 17557, 3909, 4978, 563, 9377, 1456, 13317, 1143, 630, 6349, 281, 7871, 994, 18439, 519, 1114, 8847, 540, 16851, 1063, 14100, 543, 32544, 269, 32544, 6322, 547, 10646, 2413, 16851, 689, 2757, 1143, 269, 23874, 16851, 28263, 2413, 16851, 563, 3849, 1203, 675, 13317, 1143, 630, 6349, 281, 4029, 994, 1607, 1106, 540, 16851, 3322, 519, 11601, 540, 5763, 998, 533, 16820, 267, 4108, 21037, 267, 610, 1179, 17419, 3408, 269, 32544, 729, 7255, 609, 1480, 2962, 543, 8404, 2864, 982, 7293, 2934, 269, 10812, 606, 1383, 602, 14550, 875, 32544, 6045, 519, 3017, 1063, 2757, 543, 2413, 3854, 2065, 2804, 18144, 563, 18128, 1828, 540, 17557, 27801, 338, 630, 6860, 281, 2420, 994, 763, 6891, 540, 2413, 16851, 568, 6353, 676, 20174, 547, 519, 15980, 540, 5763, 543, 21084, 540, 519, 946, 540, 4747, 585, 2123, 18399, 269, 634, 4720, 540, 519, 17557, 2802, 545, 5956, 609, 519, 556, 4146, 540, 519, 5783, 540, 7507, 269, 13162, 22675, 2813, 519, 1523, 540, 834, 320, 10912, 4799, 2026, 322, 2045, 17557, 1143, 630, 6349, 281, 6734, 994, 2467, 616, 1614, 28975, 540, 27869, 626, 3661, 4143, 547, 519, 4720, 540, 17557, 2802, 545, 269, 3689, 267, 519, 7122, 568, 2813, 9003, 547, 2417, 519, 18710, 540, 2696, 543, 1152, 814, 2495, 538, 1894, 547, 2696, 5301, 269, 5822, 267, 2696, 5301, 616, 3564, 1480, 8223, 543, 519, 2856, 540, 2392, 652, 1588, 563, 20329, 1670, 31664, 540, 27869, 1143, 630, 6734, 281, 2190, 994, 2171, 828, 7682, 539, 602, 519, 2164, 540, 27869, 1143, 616, 26568, 20420, 269, 589, 2417, 4720, 540, 14985, 1500, 621, 8078, 2218, 547, 3494, 2933, 513, 6074, 835, 269, 6153, 1568, 267, 1519, 606, 11601, 540, 5763, 267, 616, 513, 1129, 540, 9550, 267, 711, 513, 1259, 540, 1140, 8724, 621, 563, 306, 2869, 527, 540, 13317, 1143, 630, 6860, 281, 3374, 994, 9773, 9109, 626, 3909, 14985, 6173, 919, 960, 2802, 545, 543, 535, 2607, 1275, 547, 5289, 3741, 799, 7914, 3613, 14975, 2413, 16851, 269, 634, 7787, 1143, 540, 2804, 1272, 538, 2413, 16851, 13462, 609, 19450, 2609, 540, 4984, 269, 32544, 781, 960, 568, 22192, 540, 519, 13172, 673, 2078, 1063, 4346, 543, 4984, 543, 6941, 606, 1528, 633, 25505, 563, 290, 1042, 1080, 281, 7665, 32544, 781, 519, 17557, 6599, 545, 543, 519, 13336, 540, 13317, 1143, 630, 876, 281, 1839, 994, 290, 1042, 1080, 281, 7665, 32544, 781, 519, 17557, 6599, 545, 543, 519, 13336, 540, 13317, 1143, 454, 2690, 3606, 3059, 682, 2084, 543, 6718, 3681, 3346, 513, 2923, 22639, 693, 476, 8517, 268, 27038, 268, 24423, 277, 454, 9638, 816, 4781, 476, 274, 264, 610, 4757, 11333, 2593, 269, 0, 1432, 14348, 2142, 634, 8779, 1677, 12706, 589, 9891, 19937, 24121, 2710, 898, 23126, 5600, 9891, 6052, 1107, 1215, 547, 6480, 1493, 2659, 7780, 1006, 8779, 14205, 902, 543, 8564, 606, 5510, 8566, 5090, 3590, 454, 2710, 596, 1616, 547, 2759, 707, 10626, 3790, 543, 723, 513, 22619, 344, 2707, 540, 5122, 1648, 286, 1411, 666, 798, 621, 3054, 609, 513, 3859, 1648, 1062, 269, 1703, 616, 3875, 1919, 547, 2015, 950, 8600, 513, 18789, 1753, 3859, 4305, 269, 6258, 875, 547, 16977, 707, 1648, 9806, 543, 4584, 606, 1055, 3766, 5090, 1062, 269, 3973, 267, 1451, 875, 547, 4336, 909, 707, 1062, 607, 707, 1648, 2115, 2333, 269, 11086, 267, 707, 18789, 3859, 2816, 786, 4688, 596, 2724, 1247, 9494, 519, 1604, 269, 1018, 1131, 581, 519, 1942, 547, 1628, 513, 3859, 8470, 454, 14888, 312, 5851, 9891, 5295, 1018, 1131, 581, 519, 1942, 547, 1628, 513, 3859, 8470, 454, 30787, 909, 25675, 8440, 593, 707, 1753, 454, 13729, 1575, 540, 513, 2777, 3859, 1379, 1062, 666, 1491, 513, 7008, 540, 2395, 543, 1256, 4374, 267, 4470, 2390, 519, 5704, 2329, 540, 519, 1062, 269, 1306, 4166, 607, 519, 3888, 518, 814, 6192, 519, 32072, 1062, 7041, 543, 1305, 909, 519, 5122, 11443, 547, 519, 1379, 1062, 267, 519, 3859, 8440, 786, 581, 2322, 593, 519, 32072, 986, 9535, 269, 634, 25675, 8440, 786, 581, 5532, 547, 519, 12679, 1562, 543, 1852, 5547, 787, 602, 6460, 3859, 1379, 547, 5201, 269, 13405, 547, 10380, 666, 1376, 267, 519, 3888, 518, 2115, 547, 3489, 519, 13170, 540, 519, 2749, 2229, 267, 543, 789, 786, 8524, 519, 1062, 547, 1118, 1978, 621, 10742, 782, 5122, 9479, 543, 18387, 1406, 26991, 1022, 3652, 543, 4507, 563, 7212, 596, 666, 3888, 25675, 8440, 676, 3054, 267, 596, 1058, 711, 3801, 547, 1685, 713, 2816, 1510, 513, 3318, 269, 3502, 1175, 568, 621, 942, 10438, 267, 2705, 596, 949, 711, 581, 2111, 547, 1205, 1808, 15314, 269, 2368, 2829, 946, 3454, 32479, 338, 547, 3959, 5411, 585, 4259, 909, 3859, 8440, 267, 855, 789, 991, 596, 547, 2308, 513, 13931, 3859, 14764, 2754, 269, 1656, 1810, 1406, 7340, 547, 2307, 585, 7840, 267, 607, 513, 1297, 540, 891, 3859, 3549, 1810, 1406, 1616, 547, 960, 609, 3274, 24455, 563, 5629, 596, 723, 2965, 5697, 519, 3859, 3888, 518, 267, 1352, 610, 646, 786, 829, 1555, 547, 707, 2777, 543, 5965, 519, 8122, 267, 1818, 2386, 547, 2149, 8122, 17981, 269, 1358, 786, 3888, 519, 11443, 547, 3095, 519, 19236, 1062, 547, 519, 5122, 1062, 543, 4087, 519, 986, 9535, 602, 6585, 519, 25675, 8440, 538, 2990, 269, 4495, 519, 14998, 616, 538, 1747, 267, 519, 3888, 518, 786, 4444, 519, 2838, 3457, 543, 2253, 10380, 269, 634, 10380, 5650, 3217, 513, 1906, 4374, 267, 543, 607, 4166, 607, 519, 19236, 1062, 568, 8737, 267, 519, 3888, 518, 786, 991, 547, 7227, 513, 7008, 540, 2395, 585, 519, 3457, 547, 12446, 563, 5629, 596, 723, 2965, 6074, 547, 1305, 909, 3859, 8440, 593, 707, 1753, 267, 519, 1985, 2962, 568, 547, 3313, 707, 6578, 269, 3509, 1004, 4584, 547, 3888, 873, 2933, 2094, 789, 666, 4688, 513, 9645, 7274, 540, 2724, 269, 1703, 616, 5294, 543, 931, 547, 1312, 2010, 540, 19698, 269, 13689, 2390, 707, 2115, 267, 596, 949, 711, 723, 519, 2702, 547, 2628, 585, 513, 4625, 1305, 909, 1062, 267, 865, 596, 11129, 547, 581, 5423, 547, 6108, 930, 6666, 593, 519, 14764, 269, 634, 2640, 616, 1134, 4502, 519, 4674, 563, 15612, 908, 707, 1648, 3790, 9806, 454, 26212, 547, 596, 1305, 909, 513, 3859, 1379, 1062, 267, 596, 991, 547, 1174, 519, 6093, 13258, 540, 707, 3167, 3790, 269, 8298, 883, 707, 5122, 1648, 2272, 543, 5173, 606, 3328, 585, 519, 2063, 1896, 3275, 269, 17776, 513, 5934, 540, 3670, 3275, 547, 2099, 12119, 12381, 543, 4657, 9276, 269, 22034, 713, 3328, 267, 596, 1590, 7447, 513, 1269, 10219, 2834, 10865, 1942, 9806, 610, 1269, 5611, 271, 829, 1032, 269, 1635, 1210, 891, 2338, 267, 596, 666, 3362, 5635, 519, 13258, 540, 3859, 1379, 547, 707, 4540, 10626, 3915, 269, 1018, 1131, 581, 519, 1942, 547, 1628, 513, 3859, 8470, 454, 2414, 2697, 519, 1297, 540, 8440, 596, 786, 2154, 267, 1101, 1265, 856, 707, 3232, 1379, 6165, 269, 901, 786, 4137, 856, 519, 3099, 540, 8440, 2838, 547, 3914, 707, 6662, 540, 1648, 1582, 3146, 18910, 269, 1280, 1383, 267, 952, 596, 946, 476, 1789, 737, 2662, 540, 5122, 1648, 513, 1554, 267, 596, 3580, 2154, 827, 476, 1839, 268, 1789, 8440, 269, 1411, 3580, 2154, 811, 952, 596, 723, 3063, 1648, 2115, 269, 589, 6007, 19307, 786, 18359, 596, 2724, 950, 596, 1810, 1406, 723, 5201, 563, 763, 3328, 3923, 3562, 18881, 1648, 3915, 3568, 513, 6093, 4893, 578, 3430, 16923, 630, 330, 2662, 264, 6165, 267, 607, 1134, 607, 519, 3099, 540, 3108, 8246, 269, 19147, 602, 1297, 676, 12964, 547, 1205, 707, 3923, 3562, 18881, 3328, 267, 543, 676, 13977, 585, 707, 3232, 3328, 269, 1403, 596, 723, 2965, 1044, 9001, 5201, 585, 936, 3368, 540, 707, 942, 267, 596, 3580, 4688, 5111, 827, 476, 279, 260, 540, 707, 1459, 10626, 3915, 269, 1403, 596, 4076, 1031, 621, 782, 1032, 267, 519, 1942, 9806, 596, 3580, 1118, 786, 581, 607, 1454, 607, 476, 736, 2600, 540, 707, 2949, 5993, 3790, 563, 763, 3099, 540, 8440, 2838, 786, 4268, 267, 4470, 593, 707, 1858, 267, 2777, 2450, 267, 543, 11593, 2139, 24106, 269, 769, 519, 772, 2529, 1421, 606, 3328, 1753, 2115, 538, 1063, 476, 736, 543, 476, 1789, 3859, 8440, 547, 15558, 835, 4627, 2600, 540, 922, 5122, 1379, 9276, 269, 11048, 267, 4093, 666, 8428, 4122, 4470, 2390, 707, 13664, 1858, 543, 1753, 1648, 6165, 269, 634, 1739, 2055, 666, 4217, 596, 4137, 856, 875, 1082, 8440, 596, 991, 543, 875, 1454, 707, 3859, 1648, 1062, 786, 1942, 563, 763, 1942, 540, 513, 476, 5611, 547, 476, 4968, 2914, 3430, 25675, 8470, 8677, 689, 1269, 12208, 547, 1269, 14596, 267, 4470, 2390, 922, 2450, 267, 2298, 267, 543, 1374, 269, 1411, 666, 6718, 513, 8470, 689, 513, 3859, 2754, 610, 798, 621, 3054, 269, 1684, 621, 3054, 3859, 19698, 616, 1454, 4443, 982, 2324, 609, 513, 3859, 28079, 269, 670, 3931, 513, 3859, 3888, 518, 786, 7413, 707, 2949, 1942, 267, 855, 596, 949, 1869, 1651, 584, 930, 3606, 9276, 538, 1840, 547, 707, 3355, 2883, 5092, 269, 23448, 10997, 2874, 540, 9075, 267, 16459, 8800, 267, 543, 5122, 11443, 563, 303, 10107, 606, 1055, 3766, 5090, 1062, 454, 2467, 616, 513, 7008, 540, 1919, 547, 2015, 950, 16116, 606, 1055, 3766, 5090, 2777, 3859, 1648, 1062, 1411, 1590, 3313, 707, 1648, 3340, 269, 1215, 1454, 1379, 798, 596, 946, 950, 707, 2777, 568, 4625, 13324, 676, 3859, 1379, 286, 898, 786, 948, 952, 596, 3313, 875, 1454, 1379, 596, 946, 2429, 8445, 3108, 538, 707, 1858, 269, 1403, 596, 2461, 4058, 547, 979, 1055, 3766, 5090, 267, 1118, 1978, 547, 2015, 707, 1648, 4170, 543, 707, 1604, 563, 2791, 3580, 2154, 547, 1118, 2386, 602, 519, 1062, 596, 4584, 1568, 609, 707, 32072, 1062, 543, 666, 13918, 707, 2115, 269, 2368, 1055, 3766, 5090, 1949, 616, 2596, 547, 1305, 909, 267, 1247, 1866, 991, 519, 2533, 540, 513, 3318, 3859, 3888, 518, 269, 1452, 1949, 666, 581, 2919, 609, 513, 11305, 610, 9823, 5916, 2707, 540, 1379, 267, 799, 1331, 6093, 3859, 12679, 1562, 267, 2842, 18434, 267, 19307, 18402, 267, 543, 12463, 8976, 3859, 5279, 27196, 269, 3509, 1004, 849, 2824, 2890, 31622, 549, 1949, 563, 763, 2817, 24997, 4199, 12524, 32245, 8445, 7943, 3108, 676, 1533, 543, 1858, 269, 634, 3349, 2630, 8638, 519, 8445, 24106, 3108, 538, 1142, 1858, 540, 519, 2136, 2276, 269, 1306, 4166, 607, 596, 723, 891, 5515, 267, 596, 666, 2697, 519, 2450, 540, 707, 19236, 1062, 269, 631, 699, 569, 9062, 519, 1297, 540, 3108, 540, 7943, 676, 476, 1789, 547, 1205, 513, 3902, 10839, 540, 707, 6093, 8445, 3108, 269, 4635, 713, 3877, 786, 4217, 596, 2697, 519, 2450, 540, 707, 3859, 5044, 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 ]
[ 891, 2621, 269, 1656, 621, 779, 1453, 945, 786, 7703, 513, 19018, 622, 2671, 540, 519, 1764, 269, 17778, 1590, 581, 3144, 547, 2569, 519, 4220, 547, 1453, 689, 12469, 269, 5753, 538, 513, 21744, 8693, 630, 6717, 290, 264, 6594, 513, 1297, 540, 4485, 543, 2553, 540, 9568, 1981, 5786, 630, 11403, 305, 1040, 1306, 851, 540, 519, 519, 22687, 267, 16440, 519, 5753, 6487, 519, 8561, 540, 19010, 305, 1590, 1631, 6521, 547, 5150, 519, 2104, 540, 2221, 779, 1453, 269, 0, 2171, 1294, 7812, 623, 8688, 639, 538, 519, 476, 1556, 628, 11416, 19599, 17804, 834, 1492, 3504, 543, 14758, 7507, 267, 543, 519, 2663, 267, 811, 3532, 2749, 257, 1496, 256, 898, 568, 1631, 2182, 547, 9787, 31862, 607, 513, 3152, 2749, 982, 7507, 267, 855, 972, 1131, 723, 1044, 2370, 538, 7507, 781, 3870, 538, 623, 8688, 639, 262, 1554, 563, 17582, 24764, 634, 4530, 574, 28016, 7726, 634, 1739, 8574, 568, 1336, 538, 519, 31607, 5259, 22251, 540, 9478, 639, 19264, 4592, 1014, 639, 538, 519, 476, 1556, 628, 2540, 267, 28912, 639, 538, 519, 476, 1691, 628, 2540, 267, 543, 3057, 857, 29104, 538, 519, 476, 1428, 628, 2540, 563, 1607, 8574, 568, 20926, 676, 661, 2224, 321, 3780, 538, 519, 8772, 2540, 281, 1261, 16668, 936, 547, 1864, 7507, 1557, 2243, 1082, 540, 519, 7642, 267, 543, 1082, 540, 519, 22918, 3796, 269, 1261, 729, 519, 2441, 282, 543, 950, 15815, 622, 267, 693, 519, 19583, 540, 519, 9030, 2367, 10838, 721, 267, 1185, 28715, 1864, 547, 519, 3444, 267, 1346, 602, 6068, 1864, 693, 519, 1101, 1705, 711, 585, 338, 820, 1864, 267, 585, 646, 7902, 547, 873, 9800, 1586, 519, 3791, 1554, 267, 607, 519, 10143, 28556, 1185, 2062, 339, 1245, 891, 543, 4557, 8536, 824, 8748, 1919, 7282, 1864, 282, 543, 519, 14316, 540, 10271, 267, 865, 3957, 689, 1864, 267, 616, 711, 17255, 547, 713, 1554, 563, 302, 11017, 542, 593, 519, 13597, 540, 713, 8574, 568, 9867, 269, 674, 15505, 2006, 23500, 519, 4143, 3332, 689, 547, 538, 9478, 639, 543, 7073, 18623, 1222, 269, 674, 15505, 2006, 7074, 602, 476, 275, 5640, 9833, 519, 4530, 574, 28016, 4469, 822, 1014, 636, 607, 7357, 9758, 267, 476, 277, 607, 6140, 9758, 267, 476, 736, 3398, 621, 609, 930, 11410, 565, 725, 267, 476, 280, 609, 1896, 11410, 565, 725, 267, 543, 476, 1724, 2543, 621, 607, 1373, 11207, 606, 31992, 563, 2005, 568, 7543, 602, 713, 8574, 568, 7357, 9758, 563, 2005, 568, 3810, 12691, 602, 9478, 639, 267, 513, 18468, 4035, 2324, 896, 14564, 267, 1131, 723, 2854, 267, 834, 3891, 729, 519, 31050, 269, 11569, 267, 538, 12668, 540, 519, 7642, 267, 9478, 639, 32141, 602, 26751, 335, 22057, 24009, 519, 3190, 1014, 545, 522, 571, 3380, 563, 13010, 267, 2107, 3394, 267, 1603, 827, 513, 2540, 1354, 661, 2224, 321, 3780, 267, 3081, 7466, 602, 9478, 639, 834, 323, 573, 711, 3494, 538, 4906, 607, 519, 2441, 269, 8409, 945, 3870, 9864, 13597, 2356, 31455, 519, 2453, 834, 604, 621, 581, 1876, 995, 547, 1289, 1864, 513, 812, 2437, 834, 3891, 729, 519, 2441, 2437, 543, 834, 1721, 646, 7902, 547, 873, 9800, 1586, 519, 3791, 1554, 267, 607, 519, 10143, 28556, 1185, 2062, 339, 1245, 891, 543, 4557, 4071, 534, 824, 8748, 1919, 7282, 1864, 563, 2005, 568, 3006, 11130, 602, 519, 8360, 834, 1729, 7507, 1557, 2243, 1554, 257, 693, 519, 1439, 540, 519, 8574, 6920, 519, 5133, 540, 513, 5856, 945, 729, 1603, 1279, 1310, 519, 2621, 538, 2243, 543, 602, 9478, 639, 729, 1932, 2673, 538, 942, 547, 1118, 621, 1825, 15344, 602, 646, 1131, 723, 1031, 519, 4082, 563, 4002, 519, 14669, 267, 513, 12732, 540, 476, 2568, 1296, 942, 1310, 519, 2669, 540, 4906, 568, 6190, 547, 2014, 930, 9983, 693, 519, 6668, 540, 519, 1381, 269, 4340, 547, 519, 4633, 540, 717, 7056, 1408, 538, 20450, 476, 276, 281, 898, 568, 1419, 11130, 602, 519, 6609, 540, 4906, 568, 29099, 2110, 585, 9478, 639, 563, 2690, 1383, 267, 9478, 639, 1821, 4925, 936, 7466, 607, 1454, 2230, 547, 519, 6609, 540, 3627, 519, 23837, 269, 4014, 2303, 633, 267, 713, 4661, 568, 711, 598, 5477, 269, 7905, 9995, 619, 15109, 713, 8574, 547, 581, 834, 1492, 1655, 6662, 2963, 540, 519, 2956, 540, 4906, 1282, 1010, 1378, 10715, 563, 763, 575, 28145, 1711, 519, 12705, 602, 519, 3003, 17069, 864, 729, 3857, 958, 5461, 538, 4906, 543, 1018, 5949, 547, 1864, 269, 15742, 569, 646, 1705, 4482, 3007, 269, 1809, 952, 649, 2268, 519, 2489, 1764, 540, 4412, 4854, 5515, 676, 519, 4110, 540, 19717, 789, 3361, 267, 649, 4927, 9959, 602, 4906, 729, 1447, 1271, 538, 519, 4064, 540, 1034, 540, 1010, 29629, 2456, 982, 941, 3627, 519, 23837, 543, 519, 12266, 769, 519, 4165, 1172, 885, 267, 891, 11673, 616, 5612, 4553, 676, 519, 4530, 574, 28016, 827, 4906, 563, 1103, 6014, 2782, 476, 273, 269, 7917, 16827, 4967, 602, 834, 333, 821, 540, 873, 1496, 11990, 519, 23837, 267, 6276, 267, 610, 4906, 316, 568, 547, 581, 1336, 538, 519, 6252, 15102, 538, 1010, 4505, 2782, 282, 27229, 10271, 1185, 1831, 811, 1271, 538, 519, 8884, 563, 1607, 568, 3274, 711, 3020, 282, 972, 616, 1100, 31607, 22251, 1354, 661, 2224, 321, 3780, 269, 898, 568, 849, 3006, 11329, 856, 602, 519, 21280, 2089, 517, 267, 513, 10120, 12355, 4528, 540, 9478, 639, 267, 19330, 519, 8574, 538, 2243, 269, 1717, 267, 21280, 2089, 517, 568, 8200, 593, 519, 1257, 540, 519, 4165, 1172, 885, 12873, 676, 10271, 267, 865, 621, 568, 2312, 602, 519, 2278, 540, 21280, 2089, 517, 1281, 711, 2099, 606, 4830, 12377, 2245, 855, 2864, 3483, 569, 9631, 1080, 519, 8574, 563, 293, 15505, 2006, 11339, 9478, 639, 267, 17194, 543, 8567, 267, 533, 269, 898, 568, 11130, 602, 519, 4704, 547, 834, 1492, 14316, 540, 10271, 865, 3957, 689, 1864, 257, 3340, 519, 4505, 8360, 834, 3891, 729, 519, 2441, 269, 19994, 2280, 1512, 2798, 856, 519, 1383, 540, 4165, 1172, 885, 1717, 267, 621, 3112, 581, 10924, 602, 519, 5467, 1131, 581, 3222, 602, 4906, 729, 1634, 607, 519, 2441, 563, 5278, 1131, 2057, 713, 1966, 676, 2655, 23082, 834, 3891, 729, 5156, 547, 581, 519, 2441, 257, 610, 834, 3891, 729, 519, 865, 10777, 2441, 257, 538, 1747, 540, 519, 8360, 267, 834, 3891, 729, 519, 2441, 563, 9288, 1512, 13187, 602, 519, 3948, 834, 572, 2114, 856, 540, 1747, 538, 922, 1459, 2990, 543, 14907, 2125, 519, 2095, 540, 2219, 269, 6270, 20073, 687, 267, 1498, 14754, 538, 930, 540, 519, 5783, 18971, 8037, 7603, 727, 732, 3274, 2663, 7835, 538, 519, 2245, 269, 901, 1966, 786, 581, 2808, 538, 811, 1469, 538, 6935, 547, 519, 9478, 639, 568, 6340, 540, 30331, 822, 1023, 267, 855, 972, 568, 1100, 30331, 10052, 1934, 563, 3891, 568, 15738, 856, 519, 1165, 569, 540, 6014, 30280, 267, 1827, 832, 267, 543, 8373, 16234, 538, 2489, 267, 855, 713, 8574, 568, 4625, 11215, 540, 1312, 4906, 543, 1010, 13794, 269, 28243, 543, 1866, 723, 11130, 602, 519, 15364, 540, 519, 1166, 21403, 15102, 1568, 1655, 950, 1100, 8574, 827, 4906, 18060, 525, 563, 763, 3803, 2219, 540, 519, 3105, 5037, 8928, 6923, 883, 519, 1913, 540, 519, 835, 1739, 267, 6466, 519, 6679, 540, 519, 8545, 5037, 1281, 711, 3514, 607, 513, 1246, 5346, 547, 519, 14656, 4845, 540, 519, 4530, 574, 28016, 563, 1607, 4661, 568, 10169, 10917, 1229, 676, 519, 1249, 602, 2094, 519, 606, 857, 757, 1185, 1100, 1523, 540, 3723, 17084, 267, 2007, 816, 1308, 1570, 1185, 547, 581, 17332, 883, 519, 1292, 1257, 267, 607, 972, 729, 24076, 3116, 547, 2322, 621, 269, 2290, 1522, 849, 2303, 602, 267, 2007, 1833, 610, 1100, 267, 2899, 9478, 639, 1185, 2854, 621, 267, 1010, 6679, 1913, 538, 519, 7766, 5037, 11129, 547, 723, 10630, 267, 2864, 982, 16053, 267, 519, 5037, 593, 4906, 269, 272, 661, 563, 293, 269, 26858, 267, 14564, 538, 634, 1401, 1842, 3218, 779, 6426, 19410, 776, 267, 476, 273, 26858, 267, 14564, 267, 666, 514, 9222, 329, 3570, 2593, 724, 649, 1131, 10990, 609, 930, 540, 26858, 779, 7389, 676, 607, 1454, 607, 835, 1032, 630, 22238, 2406, 3735, 476, 4649, 610, 2038, 476, 6321, 568, 519, 4266, 585, 14564, 1070, 835, 3274, 3112, 581, 811, 5730, 543, 2915, 15122, 538, 713, 12225, 1108, 563, 6701, 1284, 7507, 286, 281, 634, 12096, 540, 606, 7276, 543, 519, 674, 622, 540, 3013, 1496, 290, 1638, 523, 32298, 316, 593, 666, 514, 9222, 329, 3570, 2593, 2608, 293, 12767, 265, 11288, 593, 27216, 3091, 269, 634, 4473, 543, 2887, 540, 3504, 7507, 814, 1044, 593, 1977, 8186, 689, 519, 4098, 540, 938, 666, 514, 9222, 329, 3570, 2593, 649, 1445, 1447, 593, 519, 4936, 6243, 982, 593, 519, 10504, 602, 3576, 922, 1747, 563, 27039, 593, 945, 779, 3257, 519, 1547, 12414, 527, 514, 2488, 16929, 609, 519, 2645, 547, 2061, 17096, 267, 4497, 1053, 538, 519, 1603, 1184, 267, 543, 1683, 10531, 5955, 269, 634, 4005, 3803, 324, 540, 834, 8512, 338, 32148, 257, 729, 8929, 538, 7507, 269, 834, 2005, 781, 513, 1360, 4190, 1397, 563, 763, 1034, 4190, 649, 4312, 2479, 1500, 267, 594, 1589, 2437, 3081, 20900, 25816, 323, 664, 269, 634, 1739, 1570, 9607, 2152, 540, 3140, 2956, 585, 6754, 779, 4484, 547, 519, 14564, 269, 901, 4484, 568, 24903, 519, 1034, 1271, 3561, 540, 519, 4168, 5132, 282, 621, 6763, 3297, 12303, 782, 1390, 5322, 540, 2696, 538, 519, 2063, 1296, 563, 296, 269, 4985, 589, 269, 634, 8191, 4014, 972, 568, 1100, 15539, 827, 6754, 710, 4589, 1222, 267, 621, 949, 581, 5363, 1547, 5130, 1677, 798, 1945, 1134, 596, 723, 547, 899, 621, 563, 6546, 2856, 568, 711, 4010, 3209, 269, 1284, 4312, 3893, 621, 1524, 547, 2185, 1913, 281, 834, 2710, 1018, 596, 2648, 1701, 1809, 1547, 0, 2304, 531, 2860, 568, 519, 2165, 585, 9402, 1591, 2208, 538, 519, 1387, 1858, 610, 519, 1387, 12324, 269, 634, 1387, 12324, 13462, 519, 606, 639, 519, 6679, 547, 519, 6439, 636, 269, 901, 8574, 568, 827, 6279, 1279, 269, 898, 568, 519, 851, 540, 519, 1560, 602, 608, 4038, 525, 4396, 3653, 15108, 5322, 267, 28797, 563, 295, 11901, 267, 1387, 7988, 25936, 543, 1387, 2860, 1923, 11404, 2316, 292, 910, 4516, 781, 2707, 585, 7486, 543, 17537, 595, 1344, 454, 2304, 531, 7988, 25936, 568, 513, 840, 2275, 22083, 748, 2783, 538, 799, 15087, 723, 4646, 538, 610, 2282, 519, 1387, 12324, 269, 1452, 15087, 616, 2960, 2281, 602, 723, 4957, 883, 9402, 2281, 269, 1452, 616, 1419, 3361, 676, 1480, 13099, 650, 558, 8785, 19690, 2073, 799, 568, 849, 519, 2014, 540, 1387, 530, 11301, 269, 1323, 531, 7988, 25936, 666, 581, 5701, 563, 14549, 13099, 650, 558, 8785, 568, 519, 1034, 1455, 16770, 10299, 3644, 543, 519, 3056, 2014, 540, 19058, 530, 11301, 269, 631, 2297, 6542, 1808, 2589, 2899, 789, 723, 519, 3644, 269, 5274, 13099, 650, 558, 8785, 19690, 5540, 519, 2960, 543, 5848, 17011, 602, 1899, 519, 1560, 563, 288, 1981, 3815, 568, 4376, 602, 4679, 707, 4960, 540, 3478, 513, 2068, 971, 607, 2860, 269, 7756, 11871, 723, 1114, 1981, 2188, 269, 2368, 1981, 2188, 267, 899, 7296, 610, 2732, 267, 666, 581, 4957, 269, 0, 15703, 1382, 2090, 723, 3254, 602, 3728, 3536, 543, 9268, 3536, 723, 2799, 6689, 8377, 267, 2295, 2068, 543, 3987, 543, 824, 5312, 3676, 269, 1411, 917, 602, 22938, 1426, 666, 10413, 707, 1072, 267, 855, 596, 949, 723, 711, 1634, 827, 519, 2360, 540, 22938, 1426, 593, 875, 707, 2634, 3252, 563, 8256, 18790, 713, 267, 1018, 568, 519, 1034, 2635, 3728, 1426, 888, 2080, 616, 476, 1015, 834, 9724, 1426, 257, 14060, 602, 2965, 723, 930, 2635, 3681, 593, 519, 10624, 563, 268, 932, 760, 13444, 269, 932, 760, 13444, 11204, 6182, 650, 568, 513, 13962, 5832, 602, 24870, 538, 3536, 899, 512, 659, 657, 543, 3276, 761, 657, 563, 268, 25007, 13638, 563, 268, 634, 4258, 525, 1815, 820, 31543, 563, 3674, 22938, 1426, 3983, 585, 596, 888, 2005, 666, 3441, 707, 6797, 281, 4400, 2157, 540, 1098, 9600, 1336, 538, 513, 1297, 540, 22938, 1426, 666, 2014, 18254, 540, 9600, 538, 519, 6797, 267, 799, 666, 2014, 6797, 14524, 269, 476, 280, 269, 898, 666, 2014, 1826 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 930, 2127, 540, 6454, 563, 265, 1732, 2930, 7041, 540, 1053, 3248, 265, 7722, 4863, 2209, 945, 6462, 1053, 262, 2115, 3248, 265, 4824, 1576, 2326, 3248, 265, 1732, 1079, 17574, 2792, 1063, 1053, 543, 3610, 607, 1134, 607, 1063, 3610, 543, 4863, 2209, 282, 543, 454, 265, 12905, 3210, 547, 2029, 2152, 563, 4002, 513, 2318, 4063, 267, 519, 4139, 5980, 585, 5303, 538, 4065, 1867, 1336, 602, 589, 6717, 8577, 1185, 24009, 922, 5692, 540, 3246, 3160, 1569, 547, 1053, 269, 3958, 267, 811, 982, 476, 4037, 260, 540, 519, 589, 6717, 8577, 1053, 4080, 741, 5691, 1153, 1995, 729, 3160, 610, 1732, 982, 519, 2757, 6030, 538, 519, 2250, 269, 19573, 566, 3928, 723, 2799, 267, 6749, 719, 3928, 723, 8519, 267, 543, 519, 1297, 540, 4359, 13307, 512, 5474, 814, 23060, 607, 513, 1267, 540, 519, 6388, 540, 589, 6717, 8577, 543, 824, 1533, 7341, 630, 2704, 16342, 4972, 540, 4065, 267, 476, 1001, 271, 1916, 291, 9281, 293, 4785, 12778, 5508, 5442, 301, 10976, 9569, 454, 2704, 16342, 568, 1753, 547, 835, 540, 519, 4102, 1533, 5691, 3506, 538, 519, 4182, 269, 8307, 8419, 543, 3345, 10491, 723, 3677, 5691, 1153, 18934, 906, 630, 310, 20490, 267, 12653, 514, 267, 966, 1662, 1177, 267, 26155, 514, 267, 1299, 681, 1952, 267, 476, 1220, 280, 1040, 1215, 1705, 17665, 781, 589, 6717, 8577, 3401, 2936, 741, 1982, 865, 3533, 286, 1937, 20321, 540, 7156, 568, 519, 18236, 540, 5647, 3069, 799, 814, 2185, 1292, 2609, 281, 5647, 267, 2792, 267, 942, 267, 543, 1514, 1062, 269, 1306, 8612, 676, 29124, 630, 1960, 276, 1070, 834, 21093, 606, 2856, 7550, 267, 1256, 950, 621, 814, 1082, 6654, 5383, 267, 568, 2352, 269, 3509, 10124, 2154, 513, 17890, 1974, 540, 1082, 1296, 689, 519, 942, 789, 1831, 2139, 547, 519, 942, 950, 789, 616, 4922, 7550, 257, 630, 335, 269, 476, 272, 1916, 5575, 540, 782, 267, 606, 5647, 568, 4376, 602, 568, 834, 704, 18727, 257, 607, 1373, 1007, 547, 519, 1761, 3792, 614, 269, 4014, 7855, 538, 519, 1533, 540, 17665, 1185, 8045, 6639, 10124, 547, 2087, 4081, 9740, 1991, 547, 589, 6717, 8577, 267, 971, 7341, 1705, 711, 723, 519, 12588, 540, 12419, 519, 1533, 781, 3853, 269, 4147, 7741, 2429, 519, 1533, 941, 29040, 609, 7317, 2756, 27019, 325, 17182, 543, 1357, 2861, 1565, 10124, 547, 4228, 1576, 17008, 547, 1053, 267, 547, 1683, 4244, 3681, 547, 1346, 5275, 547, 1427, 820, 6030, 2877, 547, 10927, 267, 547, 13468, 8430, 7526, 267, 543, 5924, 17108, 606, 4081, 1982, 269, 5565, 4162, 540, 5647, 616, 4143, 547, 713, 2013, 1353, 1519, 3448, 5413, 543, 4693, 1464, 269, 6736, 519, 1269, 1015, 269, 274, 2929, 2877, 547, 2508, 519, 1101, 5123, 589, 6717, 8577, 267, 519, 3448, 5383, 540, 3160, 3872, 3255, 585, 1169, 1857, 1164, 1153, 2875, 729, 3152, 982, 519, 646, 11998, 3902, 11090, 267, 799, 8476, 519, 10171, 540, 18236, 269, 6271, 3815, 568, 4693, 1464, 610, 519, 834, 323, 12801, 547, 799, 606, 5647, 1522, 581, 4603, 539, 593, 513, 3908, 4493, 257, 630, 305, 690, 619, 267, 476, 1960, 276, 267, 533, 269, 476, 1626, 1040, 23840, 540, 589, 6717, 8577, 781, 1982, 3576, 1747, 609, 1152, 476, 2190, 3506, 1282, 519, 12681, 5123, 3079, 540, 30015, 782, 476, 4391, 272, 3506, 693, 519, 1482, 942, 269, 901, 4847, 589, 6717, 8577, 781, 4305, 3196, 547, 3732, 4603, 958, 543, 547, 17408, 752, 2930, 1350, 9662, 1354, 2407, 6388, 563, 13553, 267, 519, 1344, 512, 719, 532, 519, 14767, 540, 589, 6717, 8577, 729, 28078, 3842, 2527, 10618, 676, 4358, 609, 519, 17294, 8066, 2923, 19014, 602, 941, 13739, 593, 2199, 8613, 543, 5925, 10473, 543, 3370, 538, 14786, 2429, 519, 1533, 563, 763, 17294, 781, 6835, 543, 2875, 16499, 517, 10118, 6949, 730, 609, 8639, 267, 3610, 267, 1053, 267, 543, 3237, 945, 1287, 3262, 1344, 547, 1866, 3842, 14375, 10618, 563, 19931, 2792, 568, 9764, 538, 2470, 267, 2495, 602, 5955, 568, 2838, 585, 606, 5385, 540, 2093, 267, 6835, 267, 543, 6786, 547, 1491, 1747, 269, 30433, 568, 606, 10546, 540, 2792, 543, 11151, 519, 5048, 689, 1373, 9228, 538, 519, 6073, 538, 799, 519, 30699, 1185, 5497, 269, 18378, 6846, 267, 7654, 519, 1034, 14124, 547, 606, 3919, 781, 10639, 267, 11710, 689, 519, 2256, 1392, 262, 11994, 543, 8456, 4724, 519, 9872, 630, 328, 4318, 1421, 834, 3674, 713, 1982, 2469, 547, 5838, 593, 922, 1982, 607, 589, 6717, 8577, 3401, 605, 8010, 8119, 1040, 634, 17258, 540, 519, 1153, 1062, 781, 5048, 568, 711, 1152, 6027, 676, 5007, 20241, 543, 22692, 3928, 267, 855, 849, 998, 16499, 517, 10118, 28078, 676, 1053, 543, 824, 8639, 563, 23612, 267, 513, 4999, 540, 2500, 2527, 2923, 543, 14375, 10618, 26558, 2989, 589, 6717, 8577, 781, 942, 689, 1702, 547, 6388, 269, 1717, 267, 4797, 1982, 6940, 610, 21533, 786, 4096, 593, 875, 1279, 519, 5499, 3800, 616, 2877, 267, 875, 1279, 7616, 786, 581, 2139, 547, 1489, 621, 267, 543, 952, 10526, 689, 5007, 2976, 2209, 3136, 547, 1397, 9283, 723, 1044, 1500, 538, 1022, 2127, 540, 19518, 269, 13507, 545, 4485, 267, 971, 607, 1818, 5520, 1745, 741, 2123, 3403, 568, 1271, 543, 6209, 267, 941, 25368, 585, 519, 17294, 781, 4305, 3196, 269, 13507, 545, 4485, 1331, 2994, 602, 8661, 519, 10545, 540, 18517, 547, 2333, 519, 10171, 602, 2318, 2623, 786, 581, 7368, 538, 519, 2104, 630, 289, 565, 2006, 1299, 20958, 267, 476, 1220, 279, 1916, 7661, 267, 519, 1514, 1062, 729, 6766, 676, 513, 2319, 540, 12021, 4966, 538, 519, 2361, 540, 3845, 2069, 269, 5463, 2888, 616, 834, 18478, 676, 5266, 1906, 2043, 538, 513, 1062, 945, 4865, 1379, 267, 4567, 267, 610, 2930, 6791, 257, 630, 305, 690, 619, 267, 476, 1960, 276, 267, 533, 269, 476, 4343, 1040, 769, 519, 2013, 1353, 540, 589, 6717, 8577, 267, 1896, 15197, 4966, 538, 519, 2361, 540, 2069, 15548, 538, 519, 17294, 781, 17130, 10414, 593, 20028, 4065, 269, 17135, 681, 13704, 729, 2111, 547, 946, 1010, 2797, 3310, 547, 7520, 1689, 3544, 519, 3919, 630, 328, 4318, 1421, 3478, 519, 15889, 2200, 2877, 585, 519, 11036, 1070, 519, 2797, 19178, 602, 11478, 1369, 519, 3919, 609, 13854, 589, 6717, 8577, 5234, 619, 267, 3610, 267, 543, 1053, 5280, 1628, 1010, 1379, 3490, 563, 301, 566, 4204, 267, 27350, 538, 1533, 5691, 3506, 568, 5111, 476, 14596, 267, 1822, 538, 476, 1001, 271, 630, 310, 20490, 1696, 620, 1421, 476, 1001, 271, 1040, 774, 8812, 5991, 710, 2829, 723, 1533, 21445, 7341, 269, 1280, 17665, 267, 589, 6717, 8577, 814, 8118, 9885, 547, 519, 1533, 781, 9207, 5703, 543, 834, 338, 5703, 607, 513, 18463, 547, 9258, 7194, 19696, 17665, 1851, 519, 9803, 286, 704, 14127, 2829, 585, 1164, 1153, 543, 2852, 20021, 257, 630, 3722, 290, 8577, 267, 476, 1001, 271, 267, 533, 269, 476, 1724, 1040, 3816, 8724, 2875, 19721, 568, 540, 519, 909, 2865, 2956, 585, 891, 3059, 25165, 269, 3776, 1360, 2104, 5673, 593, 621, 563, 3722, 290, 8577, 269, 630, 1001, 271, 1040, 589, 1544, 585, 4797, 17284, 281, 476, 1001, 272, 268, 1001, 277, 269, 27293, 267, 9338, 281, 8191, 563, 2704, 16342, 3557, 4972, 540, 4065, 269, 630, 1220, 280, 1040, 17665, 2069, 1867, 3556, 269, 27293, 267, 9338, 281, 8191, 563, 289, 565, 2006, 267, 700, 269, 717, 1421, 1299, 20958, 267, 570, 269, 661, 269, 630, 1220, 279, 1040, 4676, 1090, 532, 3906, 281, 3203, 3588, 267, 3903, 267, 543, 5718, 269, 630, 275, 628, 1196, 12175, 5842, 12770, 267, 11404, 281, 21280, 8124, 5174, 817, 563, 5141, 1046, 267, 681, 269, 661, 269, 630, 10955, 12175, 630, 1220, 272, 1040, 4804, 689, 2923, 281, 14803, 3701, 267, 2079, 267, 543, 2963, 269, 5682, 16049, 267, 11632, 281, 6176, 6520, 563, 294, 7949, 267, 681, 269, 631, 269, 630, 1220, 279, 1040, 12634, 4640, 2079, 630, 277, 628, 1196, 12175, 5689, 6577, 267, 10790, 281, 4563, 6202, 563, 17220, 5980, 585, 5303, 538, 4065, 630, 1001, 271, 1040, 17665, 4045, 532, 4147, 7741, 267, 30451, 267, 1299, 4841, 3557, 4204, 630, 3722, 290, 8577, 2567, 5729, 2185, 6268, 7797, 269, 6115, 267, 9823, 281, 4139, 5980, 585, 5303, 538, 4065, 563, 32354, 267, 631, 269, 630, 1220, 276, 1040, 22628, 568, 18468, 281, 634, 1909, 540, 3381, 1476, 17182, 538, 3845, 1565, 269, 3703, 4750, 540, 12409, 5303, 267, 476, 3607, 263, 274, 1070, 476, 4375, 278, 268, 28147, 563, 300, 1229, 603, 267, 590, 1421, 1299, 13053, 267, 645, 269, 630, 1220, 274, 1040, 17738, 540, 552, 13981, 281, 5303, 9153, 5288, 269, 15226, 2115, 269, 634, 4139, 4750, 540, 5004, 4065, 267, 476, 274, 263, 274, 1070, 476, 6246, 268, 6321, 563, 300, 5674, 619, 267, 590, 269, 630, 1220, 279, 1040, 4635, 13710, 27380, 950, 3450, 2228, 269, 5441, 9752, 267, 476, 6321, 263, 275, 1070, 476, 25546, 268, 23470, 563, 303, 718, 4752, 267, 681, 269, 589, 269, 1299, 2398, 3430, 267, 918, 269, 630, 1220, 278, 1040, 8490, 2228, 1565, 2950, 281, 13229, 2994, 585, 519, 5691, 4928, 269, 5842, 12770, 267, 11404, 281, 21280, 8124, 5174, 817, 563, 303, 686, 1122, 518, 267, 808, 269, 661, 1421, 1299, 13535, 267, 654, 269, 630, 1220, 279, 1040, 634, 29577, 3059, 7941, 543, 519, 683, 343, 639, 540, 5198, 267, 6735, 267, 543, 2298, 269, 6176, 13188, 543, 8889, 267, 476, 736, 267, 476, 5611, 268, 15757, 563, 305, 690, 619, 267, 661, 269, 631, 269, 630, 1960, 276, 1040, 5262, 4288, 540, 10124, 269, 630, 275, 628, 1196, 12175, 1715, 3840, 267, 12924, 281, 634, 5131, 4964, 563, 8245, 976, 517, 267, 631, 269, 630, 1220, 271, 1040, 10435, 3664, 281, 634, 946, 540, 5907, 2029, 538, 2228, 13460, 1715, 19648, 585, 9752, 543, 4804, 267, 476, 10019, 263, 272, 1070, 476, 3066, 268, 4097, 563, 306, 7356, 323, 3626, 267, 590, 269, 661, 1421, 8899, 750, 267, 667, 269, 700, 1421, 1299, 21651, 267, 808, 269, 667, 269, 630, 1220, 279, 1040, 19019, 531, 2029, 543, 2923, 585, 1565, 630, 280, 628, 1196, 1040, 16592, 590, 18150, 5211, 267, 27359, 281, 21942, 563, 306, 9109, 1157, 328, 267, 631, 1421, 1299, 5062, 11390, 778, 773, 267, 654, 269, 808, 269, 630, 1001, 272, 1040, 5062, 11390, 778, 773, 781, 3450, 4388, 281, 11150, 267, 1382, 267, 543, 3069, 585, 2852, 543, 6280, 3610, 269, 5617, 23992, 267, 11404, 281, 654, 611, 29536, 563, 310, 20490, 267, 808, 1421, 12653, 514, 267, 589, 1421, 966, 1662, 1177, 267, 700, 1421, 26155, 514, 267, 645, 1421, 1299, 681, 1952, 267, 595, 269, 630, 1001, 271, 1040, 18227, 10605, 609, 918, 268, 1321, 2228, 1565, 281, 1323, 5993, 2689, 540, 3609, 543, 2259, 269, 17451, 13582, 267, 2910, 281, 17451, 13582, 4065, 6828, 563, 306, 615, 787, 12254, 4290, 267, 16594, 18058, 26189, 528, 267, 2836, 327, 1735, 7991, 5441, 267, 5463, 4405, 267, 9338, 563, 5938, 548, 7483, 281, 630, 16348, 264, 476, 278, 1724, 268, 4366, 273, 275, 563, 347, 7468, 5793, 7874, 25737, 270, 15062, 19478, 24720, 2008, 347, 14630, 10573, 13356, 476, 272, 267, 476, 1001, 272, 2008, 347, 28095, 9137, 10573, 2691, 3845, 2069, 568, 1100, 3476, 606, 4781, 855, 513, 13766, 8198, 347, 9202, 9137, 10573, 303, 7748, 1359, 513, 12242, 27350, 1982, 693, 513, 3845, 269, 347, 0, 763, 2136, 2276, 262, 6909, 13664, 543, 20296, 4763, 568, 593, 2407, 4159, 538, 5988, 269, 2755, 519, 3923, 568, 1869, 519, 4666, 540, 5162, 585, 1454, 540, 519, 2197, 267, 972, 616, 513, 1906, 4025, 1141, 596, 666, 561, 1735, 613, 593, 519, 11824, 538, 3636, 5210, 1657, 476, 3583, 5232, 18278, 630, 2641, 5232, 17622, 1040, 17859, 540, 2436, 596, 2811, 18644, 519, 19527, 610, 519, 5070, 267, 5988, 538, 519, 772, 2529, 269, 568, 606, 3078, 267, 2680, 1790, 17977, 3923, 563, 18197, 2276, 16661, 538, 5988, 454, 1103, 519, 2136, 2276, 267, 519, 3923, 540, 5988, 5956, 609, 513, 1360, 9642, 9161, 3323, 538, 519, 3735, 476, 5197, 271, 338, 676, 4436, 13896, 538, 12425, 269, 2201, 5988, 476, 273, 267, 610, 834, 294, 1037, 32120, 4303, 2437, 519, 2197, 5654, 547, 1294, 952, 513, 2666, 32120, 12034, 1010, 14692, 269, 1403, 646, 12034, 519, 14692, 267, 519, 10828, 6585, 267, 1287, 5162, 4365, 786, 2063, 1776, 3670 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1034, 4324, 563, 18770, 1734, 538, 2029, 267, 3226, 519, 1646, 540, 3059, 4393, 267, 814, 5280, 2569, 519, 2179, 540, 5982, 4598, 269, 1284, 2461, 849, 6297, 609, 1018, 2010, 540, 1535, 17530, 649, 946, 269, 634, 1034, 1455, 1826, 568, 519, 11116, 9405, 267, 513, 3926, 609, 519, 4670, 7923, 547, 513, 1279, 4062, 540, 5068, 602, 519, 1126, 6585, 538, 741, 5023, 1247, 24146, 1524, 563, 27039, 593, 519, 1297, 540, 938, 3461, 779, 4522, 267, 649, 666, 2356, 1205, 513, 3102, 2070, 609, 1079, 547, 2185, 11116, 342, 902, 269, 589, 6093, 11116, 9405, 8400, 27875, 873, 547, 1447, 5982, 982, 1018, 789, 2461, 8391, 689, 2067, 2825, 4282, 2959, 1142, 1554, 563, 30789, 519, 4598, 607, 1970, 543, 607, 1447, 7928, 607, 2009, 7494, 6971, 1072, 4220, 1247, 1869, 3478, 519, 2407, 4324, 540, 2038, 9178, 7020, 269, 12846, 267, 952, 596, 723, 4145, 827, 707, 1126, 779, 1535, 11920, 4598, 267, 649, 3580, 581, 6126, 547, 1865, 938, 1935, 543, 782, 519, 15416, 649, 1491, 1210, 1535, 11920, 9196, 563, 2252, 596, 1131, 899, 811, 1344, 593, 1535, 11920, 26129, 543, 707, 1126, 267, 5225, 3346, 721, 610, 8430, 606, 13393, 585, 513, 15360, 269, 1411, 666, 849, 1451, 811, 827, 713, 1888, 676, 2542, 519, 31351, 16362, 12139, 2376, 968, 311, 7304, 599, 8881, 585, 5753, 1848, 0, 3963, 568, 713, 14909, 286, 6056, 827, 1648, 2504, 538, 707, 1560, 1454, 899, 12550, 1648, 4616, 593, 513, 19236, 1377, 269, 15021, 568, 14407, 543, 18660, 543, 3190, 525, 9748, 540, 1114, 1919, 909, 269, 1411, 991, 547, 3136, 547, 6633, 621, 547, 1205, 1648, 269, 9891, 1379, 568, 1863, 267, 2973, 543, 7168, 1454, 3970, 1652, 269, 901, 568, 7168, 1454, 519, 1482, 1650, 950, 596, 616, 8781, 19719, 630, 19254, 264, 8957, 9600, 630, 338, 6897, 264, 585, 1648, 563, 14549, 781, 2702, 547, 3132, 543, 12444, 1125, 11337, 821, 4703, 24903, 7960, 547, 3986, 6668, 1282, 27781, 676, 3246, 606, 1648, 2707, 585, 519, 2634, 543, 23646, 519, 15059, 540, 19346, 543, 3940, 8637, 630, 302, 30591, 1696, 620, 1421, 476, 3422, 278, 282, 590, 6737, 1696, 620, 1421, 476, 1960, 276, 282, 21244, 267, 476, 1001, 271, 1040, 634, 2634, 568, 7363, 882, 5050, 593, 19346, 607, 513, 14041, 267, 1373, 1447, 2111, 547, 8311, 1125, 26307, 267, 5103, 28539, 846, 5160, 8204, 513, 2484, 3677, 1648, 4558, 982, 4887, 543, 6797, 25026, 4094, 269, 4475, 267, 1282, 27781, 267, 26307, 616, 1031, 585, 646, 31154, 11337, 14003, 543, 267, 3842, 11337, 821, 4703, 267, 26307, 2844, 519, 2634, 269, 7736, 18100, 2504, 540, 519, 11337, 821, 4703, 267, 546, 268, 15512, 31622, 32611, 8117, 344, 3433, 630, 15512, 295, 289, 264, 543, 1035, 16587, 659, 564, 622, 630, 10907, 10907, 1070, 4679, 7444, 267, 9141, 676, 4205, 1063, 5672, 1258, 22021, 8244, 630, 328, 4318, 1421, 1970, 7280, 543, 1164, 1863, 9761, 7408, 264, 543, 17441, 15202, 630, 328, 4318, 1421, 1970, 7378, 267, 1164, 6722, 6782, 543, 23280, 1040, 21277, 1027, 11179, 896, 12214, 2175, 267, 1973, 11337, 821, 9830, 2333, 1282, 27781, 630, 290, 1695, 650, 267, 476, 3192, 271, 1070, 950, 10438, 513, 968, 8208, 8328, 892, 630, 869, 19346, 267, 1164, 19339, 264, 2732, 630, 294, 559, 6975, 1696, 620, 1421, 476, 1220, 271, 264, 610, 1739, 12675, 3635, 630, 298, 3996, 25419, 1696, 620, 1421, 476, 2735, 271, 1916, 7021, 2947, 11564, 267, 5171, 630, 333, 815, 476, 1626, 264, 10057, 2901, 476, 275, 269, 275, 6515, 565, 269, 11899, 6629, 272, 540, 16061, 295, 289, 630, 273, 269, 273, 6515, 565, 269, 11899, 6629, 272, 610, 476, 4375, 276, 8406, 21515, 540, 26395, 282, 476, 272, 3727, 540, 26395, 9447, 476, 273, 18253, 540, 546, 268, 15512, 295, 289, 5973, 757, 2567, 7466, 15029, 3728, 539, 267, 543, 7466, 1739, 513, 13387, 7594, 267, 610, 606, 568, 5914, 7595, 632, 868, 13427, 4235, 1510, 513, 7594, 269, 1677, 2087, 5493, 520, 1464, 267, 10425, 941, 29809, 547, 476, 4335, 16720, 609, 513, 20749, 2139, 267, 20521, 7657, 1819, 4235, 5627, 476, 4792, 737, 9773, 630, 276, 575, 540, 19346, 264, 630, 10908, 864, 879, 267, 5177, 1040, 634, 632, 868, 13427, 4235, 729, 6492, 2173, 520, 3481, 1210, 513, 15280, 1145, 19605, 630, 15228, 23438, 267, 4591, 345, 332, 785, 523, 267, 5125, 1040, 634, 3044, 7594, 15538, 540, 11188, 16466, 28113, 630, 7918, 575, 1070, 10859, 1606, 330, 574, 4364, 5144, 630, 11740, 16720, 264, 543, 19337, 630, 6344, 575, 1070, 4758, 476, 7785, 737, 9773, 829, 1268, 267, 609, 513, 5672, 1258, 22021, 5223, 540, 2961, 8510, 3433, 281, 19871, 281, 15310, 540, 476, 273, 281, 272, 281, 272, 563, 2005, 568, 513, 1434, 2856, 547, 9260, 519, 5294, 543, 931, 1354, 14045, 547, 1039, 513, 7513, 7110, 547, 707, 2732, 269, 901, 2882, 608, 18100, 11337, 821, 9360, 269, 1403, 596, 723, 1022, 1981, 2188, 585, 21404, 267, 723, 1970, 5642, 5860, 267, 610, 723, 2152, 602, 2061, 596, 689, 10438, 513, 8770, 11656, 2732, 267, 1287, 519, 2640, 540, 7513, 9360, 786, 2693, 29387, 519, 4220, 269, 1809, 1810, 1406, 7340, 602, 972, 616, 824, 18817, 547, 5355, 707, 5642, 5860, 267, 899, 4222, 2866, 267, 543, 267, 811, 11932, 267, 513, 1134, 28394, 2331, 2732, 563, 296, 6557, 711, 2386, 2436, 594, 993, 1577, 334, 14194, 2194, 539, 855, 723, 1044, 1739, 519, 27520, 1982, 585, 827, 476, 277, 4374, 269, 634, 4336, 543, 519, 3750, 6166, 594, 723, 1044, 8781, 3170, 269, 594, 4076, 1044, 1210, 11337, 739, 1460, 547, 1832, 3950, 540, 11337, 2158, 607, 594, 1810, 1406, 4782, 547, 533, 4459, 1250, 11263, 547, 1205, 1973, 7403, 269, 594, 723, 6603, 1250, 2597, 2530, 3804, 543, 4058, 547, 5912, 547, 5826, 538, 519, 1985, 7008, 540, 4374, 269, 594, 6557, 8049, 952, 608, 18100, 11337, 2158, 786, 581, 5351, 538, 4509, 1250, 2597, 563, 8253, 1152, 568, 31509, 16230, 526, 2808, 835, 540, 519, 1655, 593, 11337, 821, 9360, 519, 2344, 621, 849, 4867, 6585, 15028, 16863, 267, 8757, 2338, 607, 1164, 607, 476, 7176, 2600, 538, 6075, 8039, 269, 1358, 11613, 2648, 713, 1587, 543, 596, 786, 1932, 952, 596, 2285, 621, 513, 2119, 269, 1411, 786, 1205, 930, 6909, 2164, 269, 6787, 596, 616, 513, 11112, 4648, 267, 19002, 267, 593, 7308, 30559, 31908, 610, 546, 6758, 267, 610, 2852, 1053, 596, 1932, 786, 2648, 713, 1587, 563, 32507, 23181, 633, 2640, 281, 589, 2067, 851, 540, 519, 10172, 1184, 568, 31895, 523, 3130, 267, 799, 568, 7361, 3743, 585, 5042, 12889, 899, 12216, 779, 2068, 269, 10765, 1382, 5267, 602, 608, 18100, 11337, 821, 21455, 666, 20427, 3500, 31895, 523, 3130, 543, 519, 4611, 6175, 538, 2790, 1599, 269, 1717, 267, 519, 7271, 3297, 713, 4466, 3788, 547, 581, 19286, 730, 282, 1498, 267, 3173, 2303, 608, 18100, 11337, 2158, 957, 547, 2569, 2634, 6553, 269, 3794, 26651, 267, 593, 519, 14669, 267, 949, 2965, 17108, 12982, 3210, 538, 519, 2634, 563, 7197, 1004, 917, 602, 596, 666, 6336, 2597, 676, 10438, 7864, 19719, 543, 513, 2603, 811, 3940, 269, 1717, 267, 621, 781, 1360, 1271, 602, 596, 4585, 707, 3940, 6981, 5402, 952, 596, 1616, 547, 3035, 11337, 2670, 3533, 269, 1703, 2115, 547, 581, 513, 3666, 538, 519, 2179, 540, 3940, 596, 616, 10438, 267, 2094, 1932, 1454, 540, 621, 568, 711, 2469, 547, 581, 6225, 585, 596, 269, 1548, 596, 991, 547, 3314, 568, 602, 713, 1184, 568, 782, 827, 3478, 519, 1318, 3666, 540, 9600, 267, 5946, 267, 13101, 267, 20919, 267, 3092, 1421, 547, 1205, 707, 1560, 883, 11337, 2670, 5488, 563, 14188, 596, 267, 4460, 256, 594, 993, 606, 19294, 14727, 12396, 3461, 267, 543, 594, 723, 4824, 3833, 513, 3787, 593, 513, 29145, 2732, 267, 799, 594, 723, 1044, 1739, 585, 519, 2250, 476, 274, 3275, 269, 594, 993, 7444, 9561, 2597, 630, 332, 1276, 2877, 264, 543, 594, 9289, 267, 1281, 1210, 608, 18100, 11337, 2158, 21391, 3170, 2530, 286, 594, 6557, 3843, 547, 3666, 519, 2640, 540, 11173, 2597, 2530, 609, 2640, 538, 7231, 609, 19294, 14727, 12396, 2589, 269, 11289, 596, 585, 1022, 9623, 596, 666, 2709, 2336, 4504, 21526, 3959, 8720, 3096, 540, 8192, 11337, 821, 543, 11337, 821, 1965, 614, 21455, 568, 11262, 676, 31641, 294, 13456, 1421, 519, 2160, 540, 10228, 267, 519, 2817, 4659, 540, 2657, 543, 570, 24941, 306, 13456, 269, 9701, 10424, 2906, 2479, 934, 4902, 689, 891, 24977, 267, 918, 290, 543, 7193, 267, 607, 31132, 267, 786, 4309, 513, 2671, 540, 519, 10424, 2906, 896, 519, 2474, 11311, 676, 519, 2160, 540, 10228, 269, 918, 290, 568, 513, 8689, 540, 570, 24941, 306, 13456, 1421, 513, 2754, 838, 684, 856, 540, 519, 2160, 540, 10228, 547, 1020, 543, 5010, 1125, 2472, 1759, 593, 519, 2257, 540, 11337, 821, 4703, 538, 1480, 6484, 269, 2311, 519, 942, 540, 1239, 4015, 543, 12377, 7041, 267, 29172, 729, 606, 9441, 540, 570, 24941, 306, 13456, 1421, 14102, 676, 519, 9576, 8189, 585, 519, 1401, 22128, 540, 476, 6977, 272, 269, 15562, 568, 606, 9441, 540, 715, 22721, 11298, 4596, 19616, 267, 5549, 269, 630, 297, 3253, 1040, 634, 824, 4589, 17551, 602, 519, 1382, 729, 5342, 538, 519, 9000, 540, 1022, 5010, 610, 2883, 3347, 602, 1223, 581, 1526, 29471, 607, 513, 1761, 4655, 540, 1719, 563, 763, 1973, 2157, 540, 645, 15121, 289, 602, 666, 581, 6913, 609, 519, 20919, 610, 1965, 614, 30422, 616, 538, 519, 476, 272, 268, 274, 544, 300, 2039, 267, 2147, 547, 1018, 666, 581, 6913, 609, 513, 1134, 27322, 4327, 29145, 2732, 538, 7378, 6213, 3425, 267, 855, 1134, 2630, 2157, 6913, 1310, 513, 476, 275, 268, 278, 2395, 540, 2698, 17509, 630, 302, 30591, 476, 3422, 280, 1040, 769, 811, 7378, 11259, 3425, 267, 519, 1965, 614, 19862, 949, 5838, 2362, 1973, 2157, 982, 513, 4264, 2732, 630, 553, 10353, 547, 2110, 2165, 17509, 1040, 1280, 1383, 267, 538, 519, 5164, 3279, 594, 308, 295, 5530, 540, 936, 476, 1220, 2550, 609, 1826, 476, 273, 3987, 267, 1973, 11337, 821, 1611, 2157, 941, 476, 271, 269, 277, 544, 300, 693, 476, 1015, 4374, 543, 476, 271, 269, 275, 544, 300, 1310, 476, 272, 1032, 563, 4131, 803, 6338, 8885, 269, 3733, 2012, 568, 4460, 590, 24480, 269, 594, 6557, 476, 8287, 1296, 1762, 269, 594, 2661, 543, 960, 538, 5689, 756, 340, 267, 4993, 269, 769, 513, 2250, 1272, 594, 729, 513, 3318, 2261, 25070, 518, 543, 2468, 987, 8541, 269, 3767, 1250, 1272, 3804, 568, 547, 948, 476, 1911, 2929, 1004, 1205, 2635, 269, 594, 3323, 713, 5816, 538, 476, 1220, 277, 547, 7668, 1004, 547, 1491, 2407, 5539, 585, 741, 1378, 1072, 543, 18399, 540, 1272, 676, 14236, 267, 7234, 267, 543, 9691, 556, 628, 9722, 3388, 649, 4076, 10924, 547, 581, 3020, 827, 1072, 543, 9716, 2483, 296, 3357, 2066, 513, 1007, 2754, 1572, 31509, 821, 288, 573, 602, 814, 13175, 6721, 1507, 10627, 2583, 540, 11337, 821, 1395, 3996, 1562, 630, 298, 10933, 338, 1040, 634, 1292, 11140, 538, 741, 1587, 630, 291, 268, 15512, 31622, 32611, 8117, 344, 3433, 1315, 667, 476, 272, 267, 274, 1532, 27175, 2664, 565, 264, 568, 1759, 593, 513, 2947, 4458, 267, 1269, 1015, 300, 1353, 20827, 676, 519, 16470, 11628, 3194, 18768, 10837, 630, 291, 2752, 5183, 1070, 3168, 547, 1711, 519, 1034, 3532, 2707, 540, 1648, 585, 2027, 4238, 7980, 971, 607, 13108, 10323, 3201, 338, 267, 950, 23072, 1360, 9308, 543, 5042, 569, 4101, 13485, 269, 769, 1249, 267, 519, 1292, 11001, 540, 519, 667, 2752, 5183, 1353, 568, 3220, 269, 9400, 966, 2465, 577, 267, 519, 1482, 1268, 602, 30363, 519, 15325, 1353, 594, 1175, 5018, 269, 15020, 3579, 563, 300, 6311, 13813, 568, 513, 27520, 7110, 602, 2337, 707, 1560, 1118, 11337, 2158, 269, 634, 3282, 3568, 6986, 5420, 7302, 664, 27831, 1938, 630, 300, 6311, 338, 1070, 799, 616, 2010, 540, 9761, 7408, 602, 707, 1560, 27422, 1210, 585, 7525, 1648, 269, 9521, 1279, 7302, 664, 9761, 7408, 267, 631, 6311, 338, 1810, 1405, 2154, 11476, 543, 23925, 585, 12536, 543, 789, 979, 2786, 547, 519, 6797, 1141, 789, 616, 1031, 585, 1818, 1863, 9761, 7408, 610, 11337, 2158, 269, 5525, 593, 631, 6311, 338, 1397, 602, 789, 3895, 2597, 2530, 4586, 32451, 1454, 23280, 6645, 519, 6797, 602, 596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3610, 538, 13416, 5049, 945, 949, 581, 14542, 609, 519, 2115, 540, 661, 3201, 6267, 1007, 547, 1565, 2296, 267, 661, 3201, 3610, 543, 7924, 1071, 268, 867, 20788, 945, 949, 581, 2016, 5539, 585, 21528, 9241, 8452, 1053, 538, 3506, 269, 634, 3211, 616, 2966, 547, 581, 1031, 609, 3573, 5711, 960, 543, 4901, 563, 2791, 666, 1569, 811, 1344, 3823, 5885, 9241, 8452, 1053, 689, 519, 4972, 540, 4065, 543, 9751, 3896, 269, 0, 4322, 2189, 476, 274, 291, 11308, 13410, 5337, 924, 5876, 543, 1565, 538, 3214, 269, 2060, 2324, 8276, 8221, 2694, 3214, 1451, 827, 7344, 2694, 267, 11508, 267, 543, 865, 1454, 811, 2336, 16908, 10341, 5272, 24635, 9701, 5700, 1519, 1919, 899, 875, 547, 10571, 585, 960, 267, 22343, 267, 2500, 2792, 543, 811, 2336, 307, 516, 330, 6362, 3414, 3778, 568, 606, 3872, 4604, 3014, 10023, 476, 10482, 3140, 2621, 609, 513, 3804, 540, 11093, 873, 538, 26567, 1931, 563, 22512, 518, 11202, 1811, 585, 23467, 1041, 619, 689, 32525, 4804, 616, 2228, 6030, 1141, 1053, 666, 1451, 519, 9238, 540, 513, 3099, 540, 4876, 3255, 563, 19733, 17828, 568, 606, 2228, 1565, 3760, 4171, 3804, 568, 547, 948, 596, 2123, 1125, 519, 1565, 1995, 585, 1142, 543, 1169, 1126, 563, 8794, 2661, 2228, 1164, 1153, 6030, 585, 32059, 1164, 1153, 568, 513, 8748, 1259, 547, 16080, 1830, 3584, 596, 1810, 1406, 1745, 6899, 3450, 3054, 563, 20055, 16473, 14400, 22391, 609, 891, 3292, 602, 616, 5131, 585, 519, 14400, 256, 7335, 267, 1148, 267, 14440, 267, 2979, 267, 8193, 267, 1686, 267, 543, 811, 256, 20231, 17676, 11123, 5990, 590, 9331, 300, 2207, 2336, 295, 1343, 268, 4002, 3778, 609, 5269, 5025, 268, 13750, 11314, 623, 752, 689, 5851, 3427, 538, 519, 28418, 568, 606, 10097, 543, 2653, 1259, 547, 1451, 827, 519, 476, 2004, 2829, 267, 1818, 513, 22272, 26247, 585, 1142, 835, 2336, 27319, 10746, 543, 4317, 9012, 585, 2659, 23467, 1041, 518, 568, 513, 1413, 693, 875, 596, 666, 2322, 891, 4199, 547, 1434, 946, 609, 707, 3214, 585, 1565, 563, 763, 29986, 11773, 12814, 2561, 568, 513, 13002, 2561, 585, 3450, 25777, 1210, 5192, 1399, 5937, 889, 599, 10378, 32228, 545, 29986, 267, 1818, 621, 2653, 547, 1451, 267, 1256, 593, 519, 979, 2336, 1607, 4015, 540, 23467, 1041, 5664, 3427, 3778, 3681, 269, 2882, 3332, 543, 1837, 3681, 607, 1134, 607, 2622, 543, 1977, 3778, 563, 19741, 9608, 16010, 568, 513, 2123, 8804, 1576, 585, 12322, 602, 12662, 873, 538, 519, 9920, 779, 10160, 269, 1358, 1118, 3664, 543, 23348, 547, 1294, 875, 741, 2883, 2104, 786, 1413, 256, 0, 763, 9266, 1785, 1005, 540, 9433, 543, 2453, 568, 5219, 547, 607, 9266, 4835, 2497, 269, 2290, 2219, 1058, 1291, 547, 519, 1985, 269, 634, 2963, 1590, 25401, 1489, 519, 6898, 267, 799, 538, 2490, 1590, 25401, 1489, 519, 5098, 269, 589, 1434, 5037, 814, 513, 2312, 4098, 267, 1647, 267, 543, 1439, 269, 898, 3568, 1152, 835, 2219, 829, 4845, 267, 609, 1100, 11991, 1913, 610, 2453, 563, 299, 16479, 4835, 2497, 568, 1018, 3947, 513, 5037, 9322, 543, 14429, 4369, 269, 9453, 713, 2497, 267, 519, 5037, 1131, 581, 4986, 811, 982, 513, 1592, 540, 2093, 609, 1100, 4276, 1063, 873, 269, 1358, 1522, 581, 4277, 2093, 855, 789, 1131, 6336, 4276, 609, 519, 5467, 1317, 789, 616, 711, 851, 540, 513, 3677, 4806, 269, 1280, 1383, 281, 834, 296, 899, 13212, 1317, 789, 616, 8949, 282, 533, 8986, 616, 849, 8949, 855, 789, 616, 1114, 689, 13212, 282, 4061, 267, 13212, 616, 2189, 1701, 257, 21413, 9266, 4835, 2497, 267, 713, 1592, 1131, 581, 2495, 1652, 1317, 621, 1131, 3668, 1022, 4990, 540, 1931, 269, 1703, 568, 1100, 4276, 1063, 519, 1101, 2856, 630, 1952, 956, 616, 8949, 264, 543, 519, 2034, 2856, 630, 701, 1513, 616, 849, 8949, 1040, 769, 1249, 267, 891, 1079, 2093, 1223, 723, 1044, 4376, 3116, 269, 12344, 20397, 616, 849, 8949, 610, 6148, 14274, 616, 256, 4935, 267, 519, 1592, 814, 1100, 4287, 610, 3483, 824, 982, 1373, 513, 1592, 4799, 1103, 1840, 547, 9266, 4835, 2497, 267, 972, 1590, 581, 2963, 602, 7028, 1142, 3948, 538, 519, 5037, 543, 602, 7028, 519, 3932, 693, 519, 1439, 563, 16391, 1436, 4016, 547, 513, 4062, 540, 1603, 781, 7915, 2497, 269, 634, 8360, 6257, 547, 875, 596, 2497, 707, 1603, 1765, 6011, 596, 1931, 707, 9433, 267, 1921, 873, 267, 543, 979, 689, 835, 1523, 547, 519, 1985, 269, 1703, 616, 1079, 2010, 540, 3919, 281, 6101, 543, 13016, 563, 293, 5436, 3919, 568, 1031, 950, 1603, 585, 8313, 538, 2835, 610, 17476, 269, 2060, 6101, 3919, 267, 5830, 7941, 741, 22251, 883, 6810, 610, 11271, 602, 1419, 1331, 31047, 267, 8753, 267, 8847, 267, 8638, 267, 543, 1806, 269, 1452, 616, 930, 824, 1455, 3296, 26333, 281, 31047, 267, 7440, 267, 2055, 267, 4267, 267, 5359, 267, 11673, 267, 23278, 4925, 267, 2665, 267, 9382, 267, 8369, 267, 21520, 267, 543, 865, 593, 563, 1103, 845, 531, 3919, 568, 1031, 950, 1603, 585, 3054, 610, 4687, 2093, 2228, 269, 2060, 13016, 3919, 267, 5830, 949, 7914, 1472, 1369, 513, 2582, 3561, 610, 2985, 269, 1358, 949, 849, 1118, 946, 540, 1016, 21650, 610, 2212, 619, 1510, 1210, 513, 1808, 2165, 585, 891, 3688, 269, 2368, 1806, 540, 13016, 3919, 1331, 12270, 909, 513, 1279, 1557, 883, 1114, 2694, 609, 1016, 3650, 902, 610, 10643, 267, 610, 21458, 1114, 2833, 610, 8823, 607, 834, 1410, 3263, 2580, 834, 534, 21967, 4925, 2580, 610, 834, 322, 1162, 8487, 2691, 2576, 3081, 789, 1616, 834, 23457, 257, 1603, 267, 1018, 789, 1611, 568, 602, 789, 899, 3388, 538, 922, 1697, 1747, 267, 1519, 1022, 6101, 610, 13016, 6810, 563, 2691, 649, 2911, 827, 513, 1957, 781, 2497, 267, 649, 1611, 875, 621, 781, 10288, 269, 4270, 3613, 19099, 4574, 1491, 519, 942, 547, 6338, 519, 1641, 2339, 16697, 8271, 267, 1459, 519, 1344, 538, 513, 2312, 543, 9266, 6073, 267, 543, 2673, 676, 17923, 519, 3119, 1523, 543, 5356, 19479, 269, 589, 1434, 1957, 2497, 2636, 585, 9355, 543, 31824, 563, 9336, 1557, 1058, 723, 513, 2312, 1292, 2856, 610, 1888, 269, 4634, 952, 596, 1865, 1896, 3584, 538, 707, 1557, 267, 1142, 835, 1058, 9305, 1394, 547, 519, 1292, 2856, 610, 6249, 269, 589, 2178, 1557, 2497, 2337, 1118, 713, 4276, 2312, 693, 1101, 16145, 269, 1403, 596, 1616, 547, 2328, 606, 4277, 1557, 267, 1287, 596, 1058, 1376, 609, 513, 2178, 2497, 563, 2304, 4367, 568, 899, 513, 8115, 1063, 519, 5467, 543, 519, 1560, 540, 519, 1557, 269, 634, 3483, 540, 519, 4367, 568, 547, 10544, 519, 5467, 781, 3007, 676, 1818, 513, 8903, 2013, 585, 2417, 2542, 593, 519, 1888, 269, 1323, 2500, 4367, 1281, 1614, 1919, 281, 898, 20964, 1018, 568, 1634, 607, 834, 1492, 1966, 2437, 621, 8711, 834, 18528, 1359, 5380, 257, 593, 602, 1966, 267, 543, 6368, 621, 2982, 875, 519, 2278, 786, 946, 891, 5380, 547, 2709, 513, 3070, 563, 10376, 3296, 540, 519, 1557, 1058, 723, 513, 2312, 3804, 610, 3483, 269, 1280, 1383, 267, 519, 1560, 540, 519, 1557, 949, 581, 1031, 547, 1489, 519, 4661, 538, 519, 4367, 610, 621, 949, 1683, 3606, 1344, 827, 519, 1888, 269, 1306, 1776, 1383, 267, 513, 3296, 593, 1644, 2035, 1223, 1246, 519, 4901, 540, 513, 2582, 2165, 538, 519, 1257, 563, 10907, 27854, 1603, 12346, 8185, 593, 2497, 269, 589, 1134, 3613, 19099, 1257, 2306, 621, 2009, 585, 519, 5467, 547, 1246, 519, 4661, 543, 2263, 519, 1543, 269, 589, 1697, 2497, 543, 9266, 2095, 616, 1898, 585, 513, 17396, 960, 538, 4081, 1603, 563, 1805, 4450, 666, 581, 1031, 547, 5031, 1883, 2093, 610, 3584, 267, 2491, 1950, 2152, 267, 610, 5659, 1114, 3344, 540, 513, 1966, 269, 898, 2636, 3988, 547, 1265, 1018, 789, 2811, 3168, 585, 3362, 607, 1134, 607, 1683, 873, 609, 513, 2489, 2856, 540, 519, 1543, 563, 763, 2185, 1292, 2010, 540, 3889, 1031, 538, 1603, 616, 9433, 267, 5220, 267, 2453, 267, 543, 1913, 269, 3962, 1826, 540, 2497, 666, 581, 2417, 5258, 883, 1016, 18196, 971, 607, 3119, 543, 6281, 9433, 267, 2110, 543, 1279, 5220, 267, 543, 3742, 543, 12809, 5639, 269, 4804, 875, 547, 946, 891, 3889, 3927, 568, 606, 1271, 851, 540, 1603, 1134, 563, 13640, 4588, 338, 616, 3989, 607, 4830, 4559, 540, 18340, 1369, 513, 1257, 602, 1331, 513, 1888, 4845, 543, 5885, 3877, 610, 1806, 269, 1452, 4559, 666, 581, 2582, 5220, 610, 3476, 6810, 540, 1257, 269, 589, 5037, 1058, 723, 513, 2312, 1376, 543, 1439, 269, 898, 568, 1455, 547, 1294, 4808, 827, 1141, 547, 1747, 12931, 565, 976, 543, 862, 553, 538, 1603, 267, 799, 948, 1711, 2312, 9433, 269, 6201, 540, 9433, 1331, 3137, 267, 7440, 267, 543, 11673, 563, 306, 550, 1878, 616, 519, 2596, 1770, 540, 1893, 4082, 538, 1603, 269, 1358, 2270, 835, 1641, 543, 835, 8231, 543, 616, 19016, 1227, 2953, 269, 0, 3528, 12756, 22513, 7701, 23111, 599, 334, 2717, 339, 1258, 1512, 328, 910, 4139, 9534, 9906, 454, 288, 11572, 9139, 568, 513, 1514, 4579, 676, 799, 782, 22728, 681, 4618, 4961, 267, 538, 713, 2013, 267, 616, 18170, 543, 1142, 540, 519, 2197, 781, 4961, 1058, 15666, 547, 891, 4031, 269, 634, 9139, 5036, 519, 7182, 543, 11225, 519, 1894, 1063, 519, 7060, 540, 519, 3557, 543, 519, 4961, 267, 9591, 519, 13279, 585, 741, 2229, 543, 519, 3919, 540, 741, 5238, 269, 22728, 28573, 779, 11156, 729, 9516, 543, 2854, 538, 476, 3707, 280, 1310, 519, 2063, 3540, 2112, 269, 2859, 982, 476, 3583, 1296, 2663, 267, 519, 4901, 540, 513, 1007, 2413, 1242, 11156, 2501, 547, 519, 3349, 269, 634, 476, 3707, 271, 338, 22728, 28573, 781, 2486, 519, 11156, 729, 3710, 2390, 568, 9090, 1114, 547, 938, 1699, 5108, 269, 2368, 8044, 602, 556, 8586, 938, 15713, 6054, 1223, 581, 519, 7887, 3463, 547, 9111, 607, 649, 917, 621, 267, 1866, 8428, 543, 3747, 22853, 602, 786, 2154, 556, 11529, 513, 11156, 269, 1772, 621, 2556, 547, 2413, 1125, 519, 11156, 676, 556, 8586, 621, 538, 713, 20833, 8701, 1242, 5736, 888, 2005, 814, 1044, 16271, 547, 1896, 15024, 267, 519, 2063, 1373, 4521, 3143, 269, 476, 280, 1789, 276, 540, 476, 1001, 276, 267, 799, 6444, 519, 3818, 268, 30710, 543, 18371, 1915, 540, 519, 2197, 269, 15080, 476, 4198, 543, 476, 3422, 10038, 519, 9864, 610, 2489, 6963, 540, 519, 13338, 1257, 269, 589, 9864, 6963, 3340, 513, 11556, 4843, 547, 519, 22694, 894, 13909, 538, 8723, 7886, 267, 9896, 676, 693, 2547, 4557, 1244, 583, 625, 610, 676, 693, 2547, 2947, 2600, 269, 630, 11902, 302, 267, 476, 1708, 272, 1040, 4706, 1699, 2497, 5161, 540, 476, 1240, 10643, 281, 594, 264, 5487, 3115, 14243, 321, 997, 320, 282, 4083, 264, 11968, 1942, 541, 878, 5151, 282, 8633, 264, 11968, 970, 3757, 329, 14058, 282, 10001, 264, 667, 699, 577, 657, 586, 575, 5875, 6403, 553, 1367, 525, 282, 966, 264, 667, 699, 577, 657, 586, 575, 5875, 6403, 553, 1514, 525, 282, 17886, 264, 5487, 2538, 18059, 282, 23446, 264, 5487, 1534, 24265, 586, 3288, 1381, 3120, 282, 24163, 264, 667, 699, 577, 657, 586, 632, 2041, 637, 1135, 6403, 6776, 657, 282, 26577, 264, 4432, 623, 18344, 22694, 520, 16343, 282, 2473, 264, 4432, 623, 18344, 661, 329, 1815, 583, 16343, 282, 2473, 296, 264, 4432, 623, 18344, 7225, 2772, 282, 2473, 2862, 264, 4432, 678, 2946, 326, 11948, 18513, 282, 2473, 7656, 264, 5487, 670, 659, 328, 12629, 623, 14243, 321, 997, 320, 282, 2473, 4353, 264, 20098, 1128, 527, 1075, 542, 525, 533, 14243, 321, 997, 553, 282, 2473, 309, 264, 4432, 4419, 545, 1470, 6406, 282, 2473, 9654, 264, 4432, 795, 3120, 618, 334, 7587, 1075, 1308, 282, 2473, 23997, 264, 20098, 6963, 553, 632, 3288, 4790, 15856, 857, 11252, 282, 2473, 309, 7656, 264, 2598, 1842, 20601, 525, 3803, 525, 269, 2598, 1842, 20601, 525, 1098, 3218, 5362, 269, 630, 307, 1026, 26915, 10016, 8145, 334, 632, 18479, 764, 542, 525, 267, 476, 1001, 276, 1040, 21637, 1344, 568, 3769, 538, 519, 4967, 540, 1142, 6963, 539, 2376, 610, 1876, 3330, 519, 11156, 563, 2005, 781, 1100, 5728, 602, 1689, 543, 7004, 616, 1034, 9090, 2556, 585, 22728, 28573, 693, 519, 1459, 4090, 269, 3509, 8044, 602, 519, 1699, 11156, 1281, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3203, 26814, 585, 519, 1739, 10092, 780, 1012, 5153, 476, 866, 692, 763, 17285, 8546, 1590, 723, 8325, 1769, 9634, 269, 1924, 267, 596, 991, 547, 4019, 519, 834, 19669, 11453, 257, 547, 519, 1985, 3254, 10092, 780, 1012, 5153, 476, 736, 692, 12648, 519, 25351, 4120, 15484, 630, 300, 264, 543, 9414, 513, 14328, 2619, 936, 519, 5835, 1439, 540, 519, 17285, 8546, 267, 543, 6445, 621, 609, 606, 2587, 1194, 5276, 13506, 780, 10190, 979, 547, 8629, 3436, 30771, 543, 4228, 713, 13506, 547, 13506, 17450, 780, 8620, 513, 804, 6235, 9633, 689, 519, 5835, 1439, 2619, 676, 2469, 547, 8629, 3436, 1849, 6235, 631, 2532, 3436, 5269, 267, 543, 7693, 519, 17450, 609, 621, 780, 1012, 5153, 476, 2641, 692, 7343, 569, 519, 834, 14937, 11453, 257, 547, 519, 3254, 2619, 267, 13718, 1862, 663, 7693, 621, 609, 513, 804, 6235, 9633, 780, 3086, 1711, 513, 1769, 5544, 780, 1012, 5153, 476, 2420, 692, 763, 642, 14489, 2619, 568, 13556, 519, 1482, 1259, 269, 3689, 267, 1491, 519, 25351, 4120, 15484, 630, 300, 1070, 2721, 513, 14328, 2619, 543, 6445, 621, 609, 513, 5276, 13506, 607, 3254, 538, 519, 5363, 6516, 2630, 780, 3086, 4228, 519, 13506, 6445, 547, 13506, 17450, 607, 596, 1705, 1354, 780, 5475, 602, 2824, 519, 2539, 9136, 540, 519, 17450, 1210, 519, 20098, 810, 15484, 630, 304, 264, 543, 7485, 873, 856, 676, 2469, 547, 8629, 3436, 17992, 3436, 17361, 269, 1411, 1058, 4309, 513, 4605, 519, 1482, 607, 2630, 780, 3086, 7693, 621, 609, 513, 7222, 804, 6235, 9633, 780, 1012, 5153, 476, 2537, 692, 763, 12931, 1844, 983, 18125, 616, 4904, 609, 7222, 2587, 1194, 5276, 27080, 780, 763, 12285, 1469, 568, 4904, 609, 3109, 267, 13718, 1862, 663, 15091, 609, 513, 5186, 5529, 2619, 547, 799, 519, 834, 19669, 11453, 257, 568, 4294, 780, 1012, 5153, 476, 2190, 692, 763, 9803, 12285, 1469, 568, 4904, 609, 513, 5276, 13506, 607, 3254, 780, 293, 650, 519, 4544, 11836, 2619, 609, 4158, 12457, 780, 4517, 1039, 519, 3337, 547, 621, 676, 1210, 519, 3203, 26814, 269, 5455, 547, 713, 1448, 538, 519, 5850, 596, 2907, 917, 875, 547, 3035, 713, 1510, 6351, 269, 5901, 538, 2247, 1152, 602, 707, 10092, 1058, 2099, 711, 1152, 519, 3337, 540, 519, 1469, 267, 855, 849, 519, 1769, 3892, 593, 621, 780, 1012, 5153, 476, 1839, 692, 763, 3039, 1439, 851, 540, 519, 1318, 7148, 13718, 1862, 29019, 581, 4904, 609, 606, 2587, 1194, 5276, 13506, 543, 1058, 723, 513, 12457, 853, 6593, 269, 594, 1589, 602, 596, 917, 875, 547, 1747, 1022, 2619, 538, 519, 1283, 538, 519, 700, 16558, 29984, 267, 1810, 1405, 596, 286, 594, 946, 519, 1292, 9511, 17250, 538, 519, 5377, 540, 519, 700, 16558, 29984, 1317, 621, 568, 6281, 1152, 547, 519, 2407, 11247, 780, 763, 1985, 6309, 5459, 2619, 568, 10736, 883, 513, 17450, 7311, 8629, 3436, 8073, 27240, 1304, 12379, 327, 269, 634, 1769, 3892, 666, 581, 2938, 538, 519, 1739, 4605, 780, 1012, 5153, 476, 2918, 692, 763, 5835, 2619, 568, 1776, 17450, 2813, 689, 519, 13506, 11423, 269, 8073, 713, 3054, 607, 596, 1705, 4505, 538, 713, 5850, 269, 634, 5363, 6516, 568, 3254, 2630, 780, 763, 1985, 10092, 538, 519, 1318, 7148, 568, 4904, 609, 519, 8912, 4778, 780, 763, 6309, 5459, 3440, 540, 519, 1318, 7148, 568, 513, 17450, 1932, 780, 1012, 5153, 476, 2767, 692, 763, 1283, 2694, 540, 519, 3440, 568, 4904, 609, 519, 8912, 4778, 607, 3254, 780, 763, 14248, 18967, 673, 2619, 538, 519, 4099, 540, 519, 1283, 851, 568, 4904, 609, 513, 24293, 13506, 780, 7343, 569, 519, 834, 14937, 11453, 257, 547, 519, 853, 6593, 540, 713, 2619, 607, 3254, 538, 519, 3239, 2630, 780, 1012, 5153, 476, 2764, 692, 1103, 1931, 547, 1711, 711, 2583, 267, 1101, 9414, 1079, 5276, 10092, 543, 4019, 519, 834, 19669, 11453, 257, 547, 1312, 780, 10190, 979, 547, 8629, 3436, 2349, 754, 3436, 2349, 754, 18169, 543, 1305, 519, 1975, 5217, 547, 10410, 1881, 3268, 543, 519, 7274, 540, 3268, 547, 476, 1428, 269, 5047, 267, 1305, 519, 18112, 550, 566, 547, 1325, 793, 547, 8525, 780, 5475, 602, 979, 547, 8629, 3436, 2349, 754, 3436, 5269, 630, 8333, 663, 1341, 16816, 1341, 645, 6393, 12648, 519, 6755, 15484, 630, 303, 264, 543, 2721, 519, 1739, 2619, 780, 291, 4048, 543, 6749, 713, 2619, 883, 519, 2349, 754, 1895, 538, 519, 700, 16558, 29984, 269, 1411, 1058, 4309, 519, 1739, 1267, 1384, 27087, 519, 1566, 13369, 540, 519, 11100, 543, 7693, 621, 609, 513, 804, 6235, 9633, 780, 1012, 5153, 476, 3066, 692, 7343, 569, 519, 834, 14937, 11453, 257, 547, 519, 3254, 6094, 2619, 267, 543, 7693, 621, 609, 602, 804, 6235, 9633, 1932, 780, 763, 6587, 4544, 11573, 568, 4904, 609, 519, 1482, 13506, 780, 763, 11836, 1469, 540, 519, 11573, 568, 4904, 609, 606, 2587, 1194, 5276, 13506, 780, 7343, 569, 519, 5033, 527, 4920, 8001, 834, 14937, 11453, 257, 547, 519, 3254, 2619, 780, 1012, 5153, 476, 1789, 692, 763, 1283, 11573, 568, 13556, 609, 519, 948, 540, 513, 17450, 5186, 5529, 609, 513, 804, 6235, 9633, 269, 594, 1589, 596, 2907, 666, 798, 713, 3054, 693, 713, 1448, 538, 519, 5850, 269, 7427, 519, 5363, 6516, 2630, 269, 634, 17450, 9136, 3564, 519, 23451, 540, 519, 11573, 616, 711, 2556, 269, 1358, 616, 1031, 585, 13418, 547, 1711, 519, 4611, 17450, 1152, 780, 4537, 1228, 519, 2451, 2427, 540, 519, 11573, 676, 7311, 519, 834, 14937, 11453, 257, 547, 519, 3254, 2619, 780, 8620, 519, 6587, 11573, 780, 763, 10538, 1469, 538, 519, 1292, 9511, 17250, 267, 799, 1140, 2851, 519, 3440, 547, 519, 7148, 267, 1058, 581, 4904, 609, 606, 2587, 1194, 5276, 13506, 607, 3254, 780, 1012, 5153, 476, 4029, 692, 763, 2451, 7148, 568, 11609, 519, 1482, 1259, 780, 8620, 519, 4282, 1210, 519, 17450, 543, 707, 11247, 786, 581, 3803, 1242, 780, 1012, 10390, 692, 763, 3803, 3239, 568, 2630, 269, 0, 258, 2324, 856, 12945, 4320, 1107, 1215, 547, 4518, 856, 11730, 540, 513, 13340, 476, 274, 14168, 17778, 15825, 692, 11529, 856, 12945, 4320, 1692, 547, 4518, 856, 11730, 540, 513, 13340, 476, 274, 14168, 17778, 15825, 692, 21353, 545, 12596, 585, 12719, 4320, 4320, 540, 13551, 1759, 17571, 692, 306, 16577, 9351, 543, 11730, 540, 2398, 3359, 595, 298, 476, 1321, 7690, 692, 20797, 4574, 267, 23794, 273, 6657, 4574, 267, 11730, 540, 476, 274, 291, 25609, 267, 634, 11730, 692, 30447, 4721, 1851, 4320, 4390, 543, 2527, 476, 273, 476, 272, 4320, 543, 4390, 692, 14179, 2541, 540, 513, 7750, 1355, 649, 666, 1265, 519, 4320, 540, 692, 14157, 6979, 540, 2398, 3359, 543, 595, 2643, 785, 619, 11427, 269, 8845, 779, 476, 279, 628, 6103, 23727, 4569, 692, 24127, 540, 513, 14328, 24388, 269, 1215, 547, 5173, 519, 12531, 7750, 6950, 692, 20663, 12400, 540, 1896, 3615, 269, 634, 4834, 585, 519, 4320, 540, 692, 1692, 1677, 4518, 4934, 10699, 545, 22062, 687, 692, 24127, 6726, 725, 5440, 31542, 3400, 767, 9995, 543, 20548, 2958, 919, 692, 303, 514, 7151, 10699, 1355, 476, 274, 1635, 476, 275, 476, 278, 593, 26964, 692, 26625, 846, 649, 4941, 547, 1265, 519, 4320, 519, 4320, 1131, 581, 692, 307, 1678, 5292, 6979, 692, 20797, 4574, 267, 23794, 273, 6657, 4574, 267, 11730, 540, 476, 274, 291, 25609, 267, 634, 11730, 692, 19327, 476, 277, 1535, 476, 275, 476, 2190, 4320, 1858, 1535, 476, 273, 4320, 476, 2190, 1535, 476, 273, 476, 4366, 12945, 4559, 692, 290, 889, 1355, 4569, 290, 2194, 664, 2593, 692, 15612, 908, 9351, 543, 11730, 269, 9351, 568, 6027, 538, 4559, 16302, 267, 875, 692, 31957, 545, 6279, 538, 4320, 269, 2334, 666, 849, 581, 2854, 607, 476, 2190, 514, 317, 274, 2073, 610, 476, 2190, 30501, 692, 22772, 519, 4320, 540, 513, 12106, 538, 12945, 17744, 692, 16215, 476, 2420, 8791, 476, 272, 2433, 11730, 1210, 519, 5149, 28116, 692, 24127, 28116, 5149, 476, 2420, 3296, 476, 273, 2433, 4320, 540, 513, 13306, 692, 15612, 908, 7698, 5292, 6979, 585, 8490, 10049, 2422, 938, 8490, 692, 9288, 20011, 11730, 634, 579, 743, 320, 6323, 1299, 17651, 737, 476, 277, 4276, 692, 19327, 476, 275, 1535, 476, 273, 476, 279, 4320, 1858, 1535, 476, 277, 4320, 476, 279, 1535, 476, 277, 476, 4366, 12945, 4559, 692, 16215, 476, 2420, 8791, 476, 272, 2433, 11730, 1210, 519, 5149, 28116, 692, 24058, 1047, 513, 5681, 547, 16534, 513, 9046, 5681, 2897, 692, 290, 889, 545, 1298, 22015, 637, 267, 11730, 543, 4390, 267, 20970, 267, 13174, 5729, 476, 277, 267, 966, 2975, 692, 1692, 547, 4518, 856, 11730, 540, 513, 13340, 476, 274, 14168, 17778, 15825, 692, 267, 2073, 2073, 2073, 0, 2162, 476, 2537, 6113, 10925, 5864, 476, 3422, 273, 692, 19370, 589, 275, 692, 305, 568, 519, 556, 1023, 269, 1496, 320, 267, 536, 316, 568, 606, 8884, 609, 536, 21759, 513, 1341, 476, 273, 269, 535, 2433, 1496, 320, 267, 536, 316, 9890, 681, 568, 7466, 1114, 4192, 543, 1923, 325, 3287, 31206, 18016, 476, 272, 543, 1923, 325, 15234, 263, 343, 31206, 18016, 476, 272, 269, 8058, 602, 1923, 325, 1412, 263, 343, 31206, 18016, 476, 273, 780, 11405, 692, 12648, 519, 8884, 547, 581, 30585, 272, 267, 476, 272, 4940, 13177, 781, 4542, 3947, 535, 263, 272, 264, 815, 535, 3287, 264, 1341, 630, 272, 910, 1535, 264, 535, 1412, 263, 343, 264, 1341, 630, 272, 910, 1535, 264, 273, 325, 15234, 263, 327, 8358, 273, 267, 535, 8987, 272, 264, 815, 535, 3287, 264, 1341, 11196, 272, 910, 1535, 264, 535, 1412, 263, 343, 264, 1341, 11196, 272, 910, 1535, 264, 273, 325, 15234, 263, 330, 8358, 273, 585, 930, 554, 267, 737, 538, 519, 8884, 630, 16694, 602, 649, 616, 9750, 827, 1535, 6393, 8138, 339, 24219, 267, 535, 263, 272, 264, 910, 535, 8987, 272, 264, 815, 476, 273, 535, 1412, 263, 343, 264, 1341, 630, 272, 910, 1535, 264, 273, 325, 15234, 263, 327, 8358, 273, 910, 630, 272, 1341, 1535, 264, 273, 325, 15234, 263, 330, 8358, 273, 269, 9747, 476, 273, 1923, 325, 1412, 263, 343, 31206, 18016, 1923, 325, 263, 272, 31206, 1341, 1923, 325, 8987, 272, 31206, 1341, 630, 272, 910, 1535, 264, 273, 347, 325, 15234, 263, 327, 31206, 270, 273, 1341, 630, 272, 1341, 1535, 264, 273, 347, 325, 15234, 263, 330, 31206, 270, 273, 18016, 476, 273, 1341, 630, 272, 910, 1535, 264, 273, 270, 273, 1341, 630, 272, 1341, 1535, 264, 273, 270, 273, 815, 476, 274, 1341, 1535, 273, 18016, 476, 275, 269, 1924, 1923, 325, 1412, 263, 343, 31206, 18016, 476, 273, 269, 0, 10387, 841, 721, 547, 1205, 606, 8216, 476, 736, 260, 10958, 593, 3810, 2500, 918, 268, 1321, 4569, 1299, 2296, 737, 342, 714, 25892, 15789, 2439, 15697, 13658, 630, 17582, 18694, 5723, 7374, 2020, 26524, 3131, 13658, 815, 476, 273, 476, 275, 476, 277, 476, 279, 476, 1015, 692, 12443, 326, 976, 602, 723, 2185, 5011, 616, 1572, 9076, 559, 831, 1023, 269, 7392, 540, 21408, 559, 831, 1023, 281, 4009, 267, 13551, 267, 32077, 639, 267, 25521, 267, 30866, 267, 25671, 1355, 269, 23155, 9999, 723, 1079, 8424, 540, 6252, 5011, 269, 769, 513, 29105, 267, 519, 1899, 10126, 11836, 6587, 14622, 568, 1572, 513, 15497, 269, 25351, 9201, 543, 10945, 616, 2027, 5686, 540, 6252, 9999, 269, 25351, 9201, 723, 6587, 5011, 6252, 543, 3160, 269, 8293, 4100, 723, 782, 5011, 3160, 269, 589, 29105, 609, 1152, 835, 6292, 540, 6252, 3515, 568, 1572, 25671, 1355, 269, 589, 32077, 639, 568, 513, 29105, 267, 609, 782, 5011, 3160, 267, 855, 21376, 32377, 269, 19648, 281, 8382, 519, 1739, 269, 4746, 2721, 782, 519, 5686, 540, 9076, 559, 831, 1023, 543, 2328, 741, 3601, 593, 513, 6656, 540, 1957, 563, 1627, 476, 272, 281, 2290, 540, 891, 568, 711, 513, 9076, 559, 831, 5306, 686, 9201, 13645, 339, 7275, 345, 1355, 5550, 4120, 1627, 476, 273, 281, 12443, 326, 976, 609, 2185, 5011, 616, 1572, 12914, 30368, 5226, 7310, 559, 831, 1023, 303, 550, 30368, 1627, 476, 274, 281, 1215, 1082, 7285, 1281, 513, 9076, 4120, 723, 286, 30500, 273, 1627, 476, 275, 281, 769, 513, 29105, 519, 1899, 10126, 602, 26082, 1079, 6587, 14622, 568, 1572, 31709, 1706, 5537, 20898, 328, 6782, 718, 710, 1627, 476, 276, 281, 21408, 559 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1510, 1519, 4642, 2418, 269, 3371, 616, 930, 540, 922, 5383, 912, 268, 21252, 281, 4635, 519, 16790, 23742, 614, 1907, 2636, 596, 547, 6882, 543, 5173, 519, 3328, 540, 513, 1804, 10471, 3533, 563, 268, 14871, 7888, 281, 634, 1907, 568, 2653, 547, 946, 267, 1256, 585, 1346, 609, 3908, 9185, 1702, 269, 898, 2488, 513, 11617, 16022, 1259, 547, 23868, 4642, 2418, 689, 519, 3328, 9819, 563, 268, 21253, 2225, 281, 1411, 666, 3362, 4188, 519, 6882, 7355, 547, 1331, 610, 23868, 1808, 2418, 267, 1818, 621, 22537, 547, 1114, 7653, 563, 21918, 14591, 543, 19047, 540, 4635, 16448, 531, 4813, 10358, 454, 4407, 19585, 12596, 2709, 1776, 1935, 547, 23868, 4642, 2418, 950, 12719, 519, 3328, 538, 9185, 267, 972, 616, 1896, 7687, 543, 9270, 547, 1832, 538, 2247, 912, 268, 29203, 281, 20074, 19585, 12596, 666, 581, 811, 1950, 267, 2523, 585, 1346, 945, 616, 711, 5432, 609, 9185, 781, 4542, 16105, 563, 268, 18438, 17376, 821, 281, 1703, 568, 513, 2362, 1981, 540, 6959, 950, 4259, 909, 543, 4509, 1950, 12596, 267, 2810, 519, 10171, 540, 11234, 3328, 9273, 563, 268, 2480, 531, 1464, 281, 16448, 531, 12596, 949, 1831, 7938, 1752, 344, 543, 2352, 547, 4383, 950, 2324, 609, 1804, 14449, 610, 950, 3606, 2175, 991, 547, 581, 4294, 563, 19119, 543, 8571, 10587, 540, 12861, 513, 11426, 16754, 454, 2252, 9444, 519, 16790, 23742, 614, 1907, 6862, 19585, 12596, 2743, 707, 1808, 4170, 267, 2870, 513, 2688, 4542, 568, 1776, 14323, 4781, 269, 1717, 267, 621, 849, 2501, 609, 922, 1378, 1305, 540, 2640, 543, 19363, 912, 268, 30059, 281, 589, 2688, 4542, 2636, 585, 811, 5730, 1852, 936, 799, 2418, 616, 3769, 610, 16934, 689, 519, 3328, 9819, 267, 5356, 3152, 6111, 538, 1808, 7653, 563, 268, 4804, 7455, 281, 12861, 513, 2688, 4542, 3340, 513, 2178, 1620, 540, 9185, 3252, 543, 12596, 267, 1818, 621, 1447, 3015, 585, 3755, 609, 3908, 9185, 6791, 563, 268, 20904, 281, 11426, 12596, 949, 991, 547, 581, 8242, 610, 9168, 607, 519, 10471, 610, 7355, 1689, 267, 8506, 5571, 5826, 543, 5732, 10962, 3606, 10848, 563, 16032, 2853, 585, 27195, 4642, 2418, 454, 2691, 2324, 609, 1239, 538, 9185, 267, 621, 568, 1419, 2556, 547, 5173, 25939, 269, 1717, 267, 1519, 4642, 2418, 538, 519, 9819, 666, 7729, 342, 519, 2164, 543, 1291, 547, 25619, 4030, 269, 1677, 2327, 519, 6111, 540, 707, 1239, 2079, 267, 621, 568, 1271, 547, 1246, 1978, 1655, 2853, 585, 27195, 4642, 2418, 689, 519, 3328, 9819, 269, 901, 3184, 786, 7291, 1079, 1883, 2853, 602, 666, 948, 596, 3035, 811, 6325, 2164, 563, 28444, 1005, 1239, 8699, 1354, 7311, 1022, 17181, 1505, 454, 6524, 12394, 547, 23868, 4642, 2418, 689, 707, 3328, 9819, 267, 621, 568, 2629, 547, 2327, 519, 8699, 540, 707, 1239, 269, 769, 24014, 610, 18106, 1239, 666, 7494, 1764, 519, 10727, 540, 707, 2164, 269, 7427, 891, 3268, 547, 2327, 1239, 8699, 912, 268, 476, 272, 269, 7638, 1518, 1239, 2959, 281, 17677, 27902, 519, 2959, 689, 799, 596, 5833, 707, 1239, 269, 5269, 2386, 789, 616, 18019, 543, 6325, 563, 268, 476, 273, 269, 11162, 909, 519, 1239, 281, 26332, 3729, 1022, 26134, 13366, 267, 2953, 1022, 6959, 267, 543, 4894, 1022, 13061, 610, 11991, 9587, 610, 9343, 563, 268, 476, 274, 269, 7435, 548, 7508, 1239, 281, 1403, 596, 7237, 7508, 1239, 267, 6430, 593, 519, 1034, 3617, 1505, 547, 6023, 621, 267, 971, 607, 27195, 519, 3003, 2594, 610, 1210, 31992, 2553, 563, 268, 476, 275, 269, 4406, 28371, 1239, 3347, 281, 6744, 952, 519, 3347, 1063, 4632, 616, 9266, 543, 1118, 2631, 269, 6733, 585, 1022, 856, 11502, 610, 29927, 602, 949, 1860, 707, 2079, 563, 13434, 1800, 543, 25643, 519, 1184, 585, 2104, 4704, 454, 291, 17805, 532, 707, 1184, 585, 27195, 4642, 2418, 568, 1898, 585, 2104, 4704, 543, 10063, 322, 2225, 269, 1635, 5329, 513, 2594, 540, 707, 12191, 267, 596, 666, 3362, 21613, 707, 9273, 543, 13182, 519, 6111, 540, 707, 2164, 269, 7427, 891, 4808, 950, 25643, 707, 1184, 912, 268, 476, 272, 269, 14674, 519, 17181, 1505, 281, 22682, 2491, 519, 1505, 596, 1031, 547, 23868, 4642, 2418, 689, 519, 3328, 9819, 269, 901, 1058, 1331, 1022, 1808, 9185, 3252, 610, 12596, 596, 8246, 563, 268, 476, 273, 269, 3417, 1900, 8386, 9912, 5528, 281, 3629, 513, 2143, 267, 1900, 8386, 9912, 3391, 593, 875, 547, 4019, 519, 17181, 1505, 538, 9185, 269, 901, 786, 948, 1866, 21613, 707, 9273, 543, 3035, 5812, 2164, 563, 268, 476, 274, 269, 5410, 1806, 281, 3417, 1806, 540, 1354, 543, 1310, 27195, 4642, 2418, 547, 6542, 519, 1764, 593, 519, 3328, 9819, 269, 901, 2306, 621, 4443, 585, 1866, 547, 1174, 519, 7744, 3297, 519, 17181, 563, 268, 476, 275, 269, 8074, 1022, 7687, 610, 10054, 281, 1403, 972, 616, 1022, 7687, 610, 10054, 2404, 609, 707, 17181, 1505, 267, 5693, 1533, 873, 538, 707, 12319, 269, 901, 786, 948, 1866, 4612, 543, 13865, 1125, 707, 2164, 14013, 563, 3528, 1739, 891, 1655, 2853, 267, 596, 666, 2327, 519, 6111, 543, 10727, 540, 707, 3328, 9819, 538, 9185, 269, 5457, 602, 1239, 8699, 543, 1697, 12319, 616, 1883, 3344, 540, 1022, 1239, 2079, 1184, 563, 1103, 3932, 267, 27195, 4642, 2418, 538, 25939, 568, 2629, 1317, 621, 2488, 513, 811, 4977, 6041, 540, 519, 1239, 543, 23352, 519, 7729, 9405, 1198, 540, 21325, 593, 519, 2949, 1267, 269, 898, 568, 3226, 1271, 950, 7231, 609, 2883, 610, 8579, 2079, 1141, 4642, 2418, 949, 711, 2992, 519, 3020, 2470, 540, 519, 1239, 269, 10801, 713, 5816, 2022, 267, 649, 723, 5941, 1079, 2500, 2409, 547, 23868, 4642, 2418, 538, 9185, 563, 19686, 476, 272, 281, 4635, 519, 20724, 2207, 17803, 9281, 1599, 454, 763, 20724, 2207, 17803, 9281, 1599, 2636, 596, 547, 5173, 519, 3328, 540, 513, 2039, 540, 2418, 1247, 27195, 1808, 7355, 267, 971, 607, 4642, 2418, 269, 1635, 28408, 519, 2039, 543, 519, 7355, 547, 23868, 267, 596, 666, 3489, 606, 3328, 602, 568, 811, 6209, 543, 11347, 540, 519, 1239, 563, 19686, 476, 273, 281, 14146, 532, 519, 20724, 2207, 17803, 9281, 306, 1599, 454, 763, 20724, 2207, 17803, 9281, 306, 1599, 3217, 519, 1523, 540, 20724, 2207, 17803, 9281, 513, 1900, 2417, 676, 3850, 596, 547, 23868, 2789, 7355, 8195, 269, 901, 1505, 568, 3730, 950, 596, 991, 547, 23868, 1896, 2418, 689, 519, 3328, 9819, 267, 971, 607, 4642, 267, 2942, 2418, 267, 610, 856, 11502, 269, 1635, 28408, 519, 2039, 543, 519, 7355, 547, 23868, 267, 596, 666, 3489, 513, 811, 4977, 3328, 602, 1732, 9356, 519, 5817, 1239, 563, 3528, 9001, 891, 2409, 547, 23868, 4642, 2418, 538, 9185, 267, 596, 666, 2327, 602, 707, 3328, 9273, 616, 811, 6325, 543, 6209, 269, 6787, 596, 616, 7421, 2883, 1239, 267, 10647, 8579, 2079, 267, 610, 3274, 2324, 609, 513, 10471, 267, 27195, 4642, 2418, 786, 1683, 596, 609, 1732, 4030, 543, 948, 596, 1118, 811, 5483, 3664, 563, 8085, 2316, 300, 12442, 12327, 4753, 299, 667, 23808, 19447, 2752, 9169, 645, 26685, 4041, 454, 300, 3722, 1299, 7193, 3281, 26702, 454, 10403, 19478, 8081, 454, 296, 993, 606, 4274, 538, 9185, 543, 1239, 2079, 267, 609, 513, 2620, 1620, 540, 3252, 543, 2553, 1031, 538, 22369, 3301, 269, 3733, 6791, 568, 10423, 538, 1250, 2702, 547, 2491, 1950, 2035, 5693, 543, 1683, 4052, 3435, 547, 1455, 2591, 538, 1239, 12879, 543, 2079, 563, 1103, 519, 3177, 2376, 267, 519, 1445, 568, 593, 519, 3328, 1599, 538, 9185, 543, 519, 2956, 540, 27195, 4642, 2418, 585, 811, 4977, 1239, 6041, 269, 2913, 781, 2736, 1524, 519, 1883, 2035, 5941, 538, 519, 2376, 912, 30182, 9577, 538, 9185, 912, 268, 9502, 281, 634, 3328, 1599, 21410, 519, 1611, 1871, 540, 513, 2039, 540, 2338, 538, 9185, 563, 268, 11957, 281, 898, 568, 4122, 1031, 585, 1239, 2079, 543, 2488, 513, 2268, 540, 3844, 12402, 563, 21675, 540, 20023, 18880, 538, 9185, 912, 268, 9185, 13000, 4642, 2418, 607, 4570, 1239, 543, 2882, 873, 538, 3328, 9273, 676, 9949, 563, 25842, 540, 26451, 20023, 18880, 538, 589, 12610, 912, 268, 28024, 9405, 11778, 281, 26451, 4642, 2418, 666, 7729, 342, 519, 2164, 543, 3765, 10517, 6974, 3466, 538, 519, 1239, 563, 32325, 547, 1401, 2850, 20023, 18880, 538, 9185, 912, 268, 16790, 23742, 614, 15484, 281, 8606, 1562, 1239, 547, 12404, 610, 4894, 4642, 2418, 1354, 12719, 519, 3328, 563, 268, 16448, 531, 4813, 10358, 281, 13139, 3278, 12596, 899, 20724, 2207, 17803, 9281, 547, 14574, 2175, 585, 10014, 270, 1410, 2424, 563, 268, 11426, 4813, 10358, 281, 6282, 525, 513, 3358, 4542, 1210, 3252, 899, 590, 9331, 9281, 543, 2910, 7419, 2316, 293, 547, 5173, 25939, 1510, 4642, 2418, 563, 9928, 523, 926, 657, 10671, 3931, 1401, 2424, 540, 20023, 18880, 912, 268, 11038, 5811, 281, 20023, 2418, 949, 2099, 7508, 610, 18106, 1239, 267, 18363, 2883, 2773, 2079, 563, 268, 11660, 31401, 281, 20023, 2418, 949, 5815, 8959, 610, 23380, 7403, 267, 7133, 4603, 2164, 563, 268, 11752, 4578, 281, 1133, 753, 26833, 2055, 6719, 607, 4642, 2418, 666, 3765, 10517, 6974, 5619, 6114, 563, 3682, 338, 543, 3117, 540, 3962, 6396, 912, 268, 16790, 23742, 614, 15484, 281, 31478, 267, 3593, 7888, 267, 543, 8465, 855, 949, 723, 7687, 538, 1950, 7653, 563, 268, 16448, 531, 4813, 10358, 281, 5510, 619, 8856, 855, 666, 581, 1950, 267, 5470, 17376, 821, 267, 543, 1447, 27249, 563, 268, 11426, 4813, 10358, 281, 30216, 8856, 855, 814, 513, 1565, 7455, 543, 3340, 5571, 5826, 563, 16032, 13756, 585, 1401, 6984, 20023, 18880, 912, 268, 3550, 4578, 6715, 31772, 281, 7638, 1518, 2959, 267, 2973, 909, 1239, 267, 6023, 7508, 1239, 267, 543, 19472, 1239, 3347, 563, 268, 11657, 519, 6713, 281, 16680, 543, 3561, 519, 17181, 1505, 585, 2104, 4704, 543, 10063, 322, 2225, 563, 268, 1401, 6984, 4642, 2418, 538, 25939, 568, 2629, 585, 4977, 1239, 6041, 267, 3226, 538, 2883, 543, 8579, 2079, 563, 268, 10613, 5941, 281, 20724, 2207, 17803, 9281, 1599, 543, 20724, 2207, 17803, 9281, 306, 1599, 585, 811, 1950, 7653, 563, 3528, 1739, 519, 3177, 2409, 543, 1655, 2853, 267, 3755, 666, 2327, 519, 6111, 543, 10727, 540, 3328, 9273, 538, 9185, 267, 3056, 547, 811, 6209, 1239, 2079, 543, 3375, 6194, 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 ]
[ 3045, 8811, 23624, 1034, 540, 873, 1317, 646, 1705, 711, 1616, 1010, 1378, 1004, 14353, 532, 1864, 540, 808, 31866, 543, 2322, 6266, 540, 1004, 538, 5834, 13122, 543, 789, 1869, 21078, 972, 269, 630, 297, 31866, 15215, 264, 808, 31866, 12090, 689, 14100, 1143, 6441, 523, 24452, 269, 14100, 1143, 6441, 523, 24452, 729, 2813, 676, 20913, 14100, 267, 930, 540, 519, 1292, 2798, 538, 713, 16809, 616, 602, 513, 21340, 5428, 1058, 581, 2111, 547, 1685, 543, 1404, 2101, 5107, 538, 2486, 269, 2368, 824, 4978, 538, 14100, 1143, 6441, 523, 24452, 616, 602, 2413, 16851, 1058, 2490, 883, 22030, 269, 630, 303, 7416, 684, 990, 264, 3345, 9705, 6591, 6667, 689, 14100, 1143, 6441, 523, 24452, 267, 799, 568, 1946, 713, 16809, 568, 835, 540, 519, 1292, 19237, 602, 808, 31866, 12090, 269, 2368, 824, 19237, 602, 808, 31866, 12090, 941, 25230, 22675, 269, 25230, 22675, 729, 2919, 538, 3624, 676, 513, 812, 3957, 15158, 1627, 24926, 630, 3519, 14673, 857, 639, 1040, 15158, 1627, 24926, 24964, 2066, 519, 2197, 547, 3262, 1010, 10752, 267, 855, 693, 602, 942, 1010, 4978, 729, 711, 2442, 543, 930, 540, 1010, 4978, 941, 875, 547, 798, 519, 1318, 1919, 538, 1272, 269, 1261, 0, 306, 29022, 3408, 568, 865, 1271, 585, 9002, 543, 1762, 1453, 269, 1358, 1451, 827, 519, 1158, 1472, 873, 998, 741, 12823, 269, 769, 713, 3296, 267, 596, 786, 1265, 930, 10372, 585, 11576, 800, 7591, 269, 7490, 581, 3106, 3222, 693, 782, 2053, 563, 8368, 540, 12937, 454, 268, 11576, 800, 10289, 645, 4711, 454, 268, 11576, 800, 7734, 454, 268, 674, 5424, 1773, 904, 454, 268, 4826, 7591, 454, 268, 18181, 543, 11256, 609, 20854, 543, 1762, 1453, 454, 306, 29022, 10289, 645, 4711, 454, 306, 29022, 11435, 2709, 1453, 519, 2702, 547, 1745, 1114, 18282, 609, 741, 3946, 267, 3952, 610, 4703, 998, 28241, 3408, 269, 901, 849, 7512, 1688, 31378, 11558, 267, 3308, 17655, 267, 543, 3007, 12732, 2679, 563, 289, 4711, 4904, 609, 25549, 3819, 7573, 281, 1039, 513, 1906, 12772, 540, 1114, 1426, 7990, 532, 547, 1507, 26633, 540, 3819, 7573, 267, 3575, 998, 543, 1450, 547, 3819, 4628, 267, 1747, 883, 513, 2178, 29606, 9126, 267, 12404, 1507, 2831, 3330, 543, 13021, 519, 9126, 269, 2422, 513, 5595, 9126, 952, 9053, 543, 13021, 1134, 269, 667, 3072, 10365, 543, 21378, 2812, 849, 960, 1134, 563, 291, 3072, 23611, 267, 971, 607, 7573, 737, 5142, 335, 625, 267, 11876, 3591, 267, 3092, 281, 20177, 7157, 883, 11435, 3947, 1835, 684, 4221, 3280, 950, 17065, 7458, 609, 3946, 610, 3952, 269, 24439, 513, 1007, 3280, 543, 568, 1769, 547, 3180, 538, 1507, 3946, 563, 29209, 543, 1507, 22153, 332, 718, 3298, 281, 2322, 519, 32041, 3298, 883, 513, 29606, 9126, 267, 1039, 1507, 7990, 995, 610, 26776, 9162, 3330, 547, 1265, 269, 5269, 2386, 547, 13021, 519, 9126, 1134, 563, 303, 5593, 11435, 281, 3442, 693, 2547, 1614, 15437, 540, 5862, 267, 1747, 883, 513, 29606, 9126, 543, 13021, 269, 9540, 1453, 616, 30590, 950, 789, 616, 3254, 875, 547, 23601, 1142, 7990, 883, 1142, 824, 269, 589, 1434, 2534, 585, 2502, 543, 6158, 827, 15437, 267, 543, 1739, 4287, 909, 270, 6658, 30032, 3092, 269, 1744, 3058, 8645, 666, 849, 581, 3773, 585, 1198, 543, 9329, 563, 294, 601, 11435, 630, 327, 1515, 610, 1688, 15074, 540, 1022, 7990, 2567, 1747, 883, 513, 29606, 9126, 267, 1039, 1507, 9162, 3330, 547, 1265, 269, 1530, 531, 1134, 563, 306, 29022, 2835, 585, 1453, 616, 7317, 543, 3501, 585, 3695, 1913, 899, 26776, 267, 11315, 267, 5347, 267, 2695, 880, 344, 543, 2571, 563, 293, 5424, 680, 904, 616, 2110, 2370, 2984, 1419, 1210, 30053, 609, 9416, 5322, 547, 2995, 519, 1650, 269, 674, 5424, 680, 904, 6338, 6586, 2719, 543, 6965, 547, 1762, 1453, 269, 1358, 1683, 1187, 3255, 585, 1453, 547, 6432, 267, 708, 10028, 543, 3717, 269, 1358, 5000, 1453, 547, 6474, 1913, 609, 2168, 3527, 269, 674, 5424, 680, 904, 1450, 1762, 1453, 547, 2972, 3695, 1893, 538, 2081, 602, 1628, 2262, 1983, 543, 946, 1007, 1913, 563, 293, 5424, 680, 904, 666, 581, 10150, 9170, 267, 20471, 543, 666, 581, 827, 1919, 602, 1719, 707, 22525, 269, 1280, 1383, 267, 2831, 267, 1004, 267, 2338, 267, 15437, 267, 4025, 269, 1358, 5000, 1453, 547, 6474, 1913, 609, 2168, 3527, 269, 2353, 519, 1920, 666, 6443, 538, 543, 723, 1187, 1927, 269, 12989, 616, 930, 2241, 9416, 680, 904, 547, 2119, 609, 707, 1126, 563, 8489, 568, 774, 3518, 7219, 286, 7316, 568, 774, 3518, 7219, 286, 630, 18485, 3946, 3297, 1394, 994, 2080, 594, 993, 269, 630, 1962, 532, 856, 835, 1688, 609, 707, 14853, 909, 994, 2080, 594, 993, 269, 630, 1962, 532, 856, 519, 824, 1688, 609, 707, 14853, 909, 994, 1692, 616, 596, 2221, 267, 11184, 286, 630, 23143, 326, 548, 835, 14853, 994, 25802, 1134, 267, 594, 9684, 596, 269, 630, 23143, 326, 548, 519, 824, 14853, 994, 305, 684, 2476, 267, 2196, 2476, 269, 630, 327, 728, 3946, 3297, 707, 1394, 994, 2080, 568, 519, 27392, 670, 633, 454, 2080, 568, 519, 27392, 670, 633, 286, 630, 24708, 513, 31329, 609, 14853, 3330, 1070, 7316, 616, 519, 10987, 286, 630, 23896, 532, 1413, 994, 295, 5200, 3330, 1141, 18864, 12034, 630, 4812, 547, 6806, 31329, 1916, 19400, 267, 543, 596, 3580, 1294, 873, 2097, 856, 540, 519, 554, 633, 630, 19972, 693, 6806, 31329, 994, 3080, 267, 1079, 267, 630, 335, 1638, 856, 14853, 267, 1287, 4994, 9416, 264, 1614, 267, 2185, 267, 2947, 630, 13449, 6967, 11263, 1916, 262, 31807, 3960, 3960, 3960, 8339, 630, 12187, 11263, 538, 2011, 899, 2370, 10987, 994, 298, 333, 1442, 2201, 634, 1684, 528, 454, 298, 333, 1442, 593, 519, 7450, 630, 326, 1836, 22545, 593, 1126, 779, 30432, 994, 8248, 2131, 538, 630, 331, 3424, 835, 22442, 573, 994, 299, 3424, 519, 561, 2255, 18011, 331, 3424, 262, 1439, 540, 9224, 994, 27662, 707, 3952, 630, 13041, 1750, 4060, 994, 310, 1779, 538, 630, 13133, 754, 547, 3802, 883, 4816, 779, 1930, 5023, 1916, 273, 11680, 30577, 7912, 454, 272, 7484, 6070, 630, 325, 710, 994, 272, 7484, 3636, 1216, 630, 320, 1906, 12772, 540, 1426, 7990, 532, 666, 581, 3773, 994, 272, 29537, 540, 5986, 3282, 2337, 547, 1118, 14859, 726, 4192, 630, 28436, 994, 20278, 7912, 543, 6070, 883, 1804, 12826, 267, 5402, 13248, 538, 1216, 630, 663, 3282, 952, 1210, 264, 543, 3575, 1927, 563, 2691, 3579, 267, 9054, 611, 547, 5347, 14859, 269, 589, 2370, 3063, 7912, 666, 581, 3773, 952, 1932, 20202, 563, 1607, 14859, 666, 581, 6854, 538, 519, 26806, 547, 19074, 269, 5901, 621, 20386, 538, 804, 532, 4670, 270, 27415, 9126, 267, 543, 621, 568, 1434, 585, 476, 272, 268, 273, 4374, 563, 763, 2640, 540, 707, 1126, 4730, 609, 7591, 323, 965, 563, 293, 710, 16359, 10341, 281, 901, 2337, 707, 1126, 779, 3946, 1020, 519, 4222, 267, 32609, 614, 640, 267, 543, 1852, 2877, 547, 13861, 4948, 3688, 971, 607, 23805, 267, 22796, 267, 1990, 26802, 267, 543, 16181, 563, 12892, 1983, 281, 7591, 323, 965, 2488, 513, 2603, 540, 1930, 25804, 3255, 585, 1453, 547, 1995, 4830, 543, 18756, 1404, 269, 769, 1312, 6163, 540, 1404, 267, 1453, 616, 3695, 5759, 267, 1272, 2833, 267, 543, 4664, 269, 1879, 4730, 609, 1866, 630, 32355, 606, 2937, 610, 1126, 1070, 1453, 616, 1565, 827, 9316, 267, 5698, 267, 1582, 20820, 267, 543, 17052, 563, 24478, 2032, 281, 21894, 707, 1126, 779, 9345, 666, 2097, 909, 609, 267, 1404, 323, 965, 568, 513, 9735, 17752, 269, 7591, 323, 965, 666, 1711, 4376, 2336, 23458, 2433, 1306, 1453, 1404, 609, 519, 14859, 621, 7512, 4901, 827, 1018, 789, 616, 2870, 267, 865, 741, 10444, 2833, 616, 9750, 741, 6863, 269, 1306, 596, 2307, 707, 1126, 2055, 267, 789, 616, 1565, 547, 6432, 269, 1703, 616, 865, 1082, 1114, 2081, 1453, 1451, 8223, 267, 6947, 267, 543, 2792, 1983, 998, 4730, 609, 1404, 323, 965, 563, 19370, 9010, 281, 23632, 543, 5470, 267, 2870, 5546, 267, 9236, 7306, 267, 10203, 1107, 1175, 3274, 4730, 609, 1404, 323, 965, 27875, 1453, 547, 2038, 13004, 543, 1966, 6061, 269, 12267, 666, 581, 1427, 1245, 1210, 14859, 5546, 607, 605, 1186, 563, 306, 29022, 11588, 540, 7591, 323, 965, 454, 21652, 14304, 281, 8293, 5109, 267, 1159, 4770, 267, 11319, 267, 17444, 267, 6335, 532, 267, 543, 5969, 616, 782, 1187, 1404, 323, 965, 2238, 269, 3807, 519, 2596, 957, 540, 4730, 609, 1404, 323, 965, 13976, 1453, 779, 1688, 543, 9416, 6091, 269, 7591, 323, 965, 849, 2501, 538, 513, 3099, 540, 1114, 2874, 4293, 930, 540, 799, 2154, 811, 4222, 982, 1866, 547, 13861, 269, 901, 2306, 621, 9425, 2653, 547, 2743, 1367, 2115, 563, 303, 10187, 334, 21082, 281, 623, 5241, 538, 23739, 2759, 1562, 610, 9162, 267, 17444, 1394, 513, 12902, 8930, 267, 610, 1256, 1175, 17065, 4506, 513, 1360, 13888, 14859, 782, 1683, 2620, 2604, 3403, 585, 707, 1126, 779, 10549, 563, 307, 716, 850, 281, 18421, 827, 1404, 323, 965, 693, 519, 1034, 2596, 1377, 568, 827, 3695, 1210, 519, 28241, 10444, 1062, 269, 3245, 18282, 547, 2874, 4293, 267, 547, 9162, 543, 3688, 1031, 267, 1404, 323, 965, 568, 782, 827, 3946, 6823, 3408, 269, 2368, 1453, 899, 547, 1694, 543, 25837, 610, 2651, 1472, 513, 3440, 540, 1404, 323, 965, 538, 741, 3946, 267, 621, 6411, 899, 513, 2566, 3440, 269, 7591, 323, 965, 666, 4217, 607, 513, 2566, 17212, 591, 563, 12179, 540, 519, 1739, 666, 581, 1031, 607, 1404, 323, 965, 2645, 912, 290, 809, 773, 2759, 1562, 267, 9174, 1351, 802, 267, 1507, 12902, 8930, 267, 1850, 334, 267, 2269, 9749, 267, 18437, 267, 5068, 3106, 23805, 267, 2036, 338, 267, 12566, 935, 525, 267, 11442, 7401, 1305, 267, 1507, 5068, 2831, 267, 543, 6517, 563, 29002, 513, 6749, 540, 11993, 267, 20909, 610, 29877, 20416, 3533, 543, 3362, 563, 15933, 7990, 902, 666, 2285, 513, 10565, 1689, 547, 1404, 323, 965, 269, 3807, 1039, 513, 7008, 540, 12772, 883, 519, 1216, 538, 519, 11600, 1657, 269, 5269, 2386, 547, 1039, 519, 1426, 7990, 532, 1354, 4946, 519, 7912, 563, 12850, 1404, 666, 1491, 1082, 3029, 267, 1519, 8602, 1404, 267, 7535, 1404, 267, 4730, 609, 513, 1216, 3349, 610, 10943, 4770, 538, 513, 16935, 269, 4826, 1404, 666, 723, 1082, 1271, 2640, 585, 513, 1126, 779, 1646, 269, 4826, 1404, 13847, 1648, 267, 621, 666, 581, 1312, 1045, 580, 528, 908, 610, 21363, 543, 22196, 585, 1762, 1453, 563, 2005, 4679, 513, 1126, 779, 2702, 547, 13404, 593, 835, 2534, 269, 898, 666, 581, 513, 16625, 2534, 630, 338, 1723, 14563, 267, 26311, 543, 4881, 741, 3946, 998, 519, 1216, 1040, 22918, 548, 1216, 1404, 2636, 873, 547, 7938, 785, 267, 1931, 741, 4555, 543, 6001, 563, 22142, 4734, 1453, 796, 3430, 2105, 1282, 1216, 1404, 563, 19119, 540, 1216, 1404, 454, 19350, 616, 930, 540, 519, 2640, 540, 1216, 1404, 454, 5522, 11691, 609, 1216, 2337, 513, 1126, 1020, 1688, 543, 3750, 11558, 1983, 269, 589, 2388, 899, 26311, 267, 17065, 4506, 28817, 267, 610, 17661, 1154, 267, 1020, 5386, 5179, 1983, 971, 607, 519, 8930, 1356, 17945, 799, 568, 606, 1271, 5578, 585, 1153, 269, 634, 8930, 1356, 17945, 786, 5512, 513, 1126, 547, 3180, 741, 15513, 7157, 269, 4826, 1404, 568, 513, 1390, 10444, 1995, 585, 1453, 607, 621, 12857, 873, 547, 1114, 18282, 267, 971, 607, 6632, 267, 31868, 344, 267, 8389, 20321, 267, 543, 28489, 344, 267, 607, 1134, 607, 5210, 630, 342, 1301, 543, 4411, 1916, 15411, 8694, 1404, 454, 12850, 1404, 2636, 1453, 547, 2263, 543, 946, 741, 9345, 269, 898, 779, 606, 5863, 10444, 1995, 269, 898, 3947, 5191, 547, 3442, 543, 1831, 3860, 269, 898, 2337, 609, 2038, 13004, 267, 585, 1383, 281, 2407, 270, 24105, 267, 4320, 267, 16759, 267, 5230, 270, 2775, 267, 811, 270, 1652, 269, 898, 849, 568, 606, 4316, 585, 10203, 270, 3712, 2293, 563, 7628, 741, 1404, 942, 609, 1216, 267, 1453, 786, 723, 519, 4316, 547, 1451, 6266, 540, 1007, 1913, 267, 971, 607, 1187, 6773, 267, 31953, 267, 18616, 267, 521, 10079, 267, 17661, 1154, 267, 512, 2355, 267, 16173, 267, 11690, 267, 29008, 525, 267, 12308, 338, 267, 5671, 14794, 267, 6632, 7933, 787, 270, 810, 752, 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 ]
[ 513, 3760, 547, 5000, 513, 9764, 4346, 538, 1931, 547, 3986, 9657, 3157, 269, 1635, 14139, 1546, 22380, 267, 21311, 16010, 568, 2111, 547, 3715, 606, 5117, 602, 949, 7668, 782, 5171, 267, 3226, 20203, 4584, 619, 267, 3850, 873, 547, 7118, 15314, 862, 839, 23847, 609, 741, 3646, 543, 6318, 741, 1514, 7555, 563, 5415, 27084, 10778, 2690, 636, 2974, 20713, 2433, 6939, 13771, 636, 454, 293, 709, 332, 9043, 29250, 2433, 4179, 2517, 4226, 1723, 842, 1779, 3820, 27651, 21703, 286, 9146, 284, 2889, 12803, 282, 340, 284, 21172, 6434, 273, 280, 454, 5938, 5586, 1090, 27024, 2433, 7711, 12949, 3518, 527, 8314, 454, 27893, 2433, 4179, 2517, 4226, 1723, 842, 1779, 3820, 27651, 21703, 286, 339, 8084, 284, 276, 4097, 9692, 275, 269, 916, 326, 6872, 273, 271, 4037, 10844, 258, 916, 326, 6872, 273, 271, 4037, 10844, 0, 13775, 2904, 476, 1220, 272, 454, 2421, 22439, 14893, 4964, 4586, 24309, 538, 2296, 454, 21511, 8447, 8629, 2008, 31871, 540, 9664, 1475, 27174, 2008, 4131, 1562, 3245, 519, 11330, 515, 1206, 22281, 338, 519, 1272, 543, 13977, 4458, 4876, 540, 513, 4116, 945, 16913, 519, 5137, 543, 2208, 540, 835, 540, 519, 1034, 23773, 543, 3811, 3872, 14364, 3292, 538, 8191, 281, 30486, 5576, 331, 639, 6199, 269, 634, 3883, 540, 519, 3828, 10679, 267, 610, 519, 19724, 11330, 515, 1206, 769, 8278, 27036, 2880, 639, 630, 534, 7442, 665, 787, 13921, 1433, 2854, 524, 269, 536, 6983, 13776, 4906, 1649, 590, 4275, 12038, 540, 968, 1492, 12964, 28556, 892, 630, 31319, 27036, 2880, 639, 3738, 607, 513, 1770, 6252, 547, 30037, 267, 22819, 31109, 543, 26442, 2131, 1408, 269, 3967, 476, 6187, 267, 5788, 5494, 2118, 281, 5457, 5808, 1411, 3657, 281, 519, 11330, 515, 1206, 267, 519, 16707, 540, 6754, 1496, 32178, 1635, 6113, 12070, 651, 267, 27813, 14173, 29353, 12070, 651, 316, 593, 708, 15505, 659, 569, 1372, 2593, 2608, 293, 12767, 265, 11288, 593, 27216, 3091, 269, 20591, 5746, 303, 4041, 281, 31087, 4932, 21612, 14959, 9358, 25758, 568, 851, 540, 519, 2185, 25686, 20591, 5746, 303, 4041, 1982, 543, 568, 5423, 585, 1346, 945, 723, 6192, 645, 4488, 6865, 5058, 20591, 5746, 12195, 2464, 8946, 4629, 308, 21203, 19739, 25770, 29898, 269, 634, 6117, 2856, 538, 713, 1353, 568, 1315, 276, 263, 1556, 1040, 4340, 547, 620, 6874, 629, 926, 538, 1010, 3778, 540, 519, 11330, 515, 1206, 543, 18301, 267, 17124, 4956, 1310, 519, 15521, 540, 21972, 599, 6798, 344, 344, 1695, 547, 6494, 5022, 547, 1082, 17710, 540, 519, 1158, 267, 18136, 873, 547, 5771, 269, 16024, 2103, 723, 31713, 713, 2245, 267, 2705, 269, 17124, 267, 2687, 547, 2757, 9099, 2351, 25086, 267, 2366, 5605, 817, 611, 832, 609, 971, 5022, 547, 4173, 659, 2993, 639, 519, 19332, 540, 18031, 656, 1756, 267, 932, 657, 549, 525, 4083, 519, 10609, 657, 571, 340, 540, 563, 21801, 476, 1839, 267, 5788, 901, 1592, 3877, 782, 519, 2101, 543, 5634, 6196, 11620, 28556, 267, 1498, 711, 8209, 538, 3501, 26567, 1931, 269, 2368, 28556, 16937, 267, 5030, 538, 1114, 2127, 267, 610, 519, 12225, 1108, 3112, 581, 6059, 609, 1022, 6111, 269, 6196, 11620, 22445, 568, 513, 30573, 11015, 23319, 269, 1849, 826, 281, 6196, 11620, 22445, 269, 6196, 11620, 22445, 568, 513, 30573, 11015, 23319, 602, 649, 723, 19481, 936, 476, 736, 2053, 269, 1703, 616, 1644, 10881, 630, 3333, 1144, 2630, 1040, 901, 2985, 3568, 6402, 547, 3059, 8747, 540, 519, 2101, 1568, 540, 3627, 27869, 799, 723, 1044, 12261, 883, 2296, 269, 1452, 21820, 616, 4571, 5991, 6839, 324, 996, 2540, 16627, 3370, 676, 1547, 13536, 610, 16520, 11330, 515, 1206, 616, 1346, 607, 8282, 547, 476, 1428, 2043, 945, 2451, 721, 4412, 4854, 23543, 4857, 676, 519, 2012, 540, 513, 1808, 22445, 269, 634, 1614, 945, 581, 4302, 520, 1117, 721, 3573, 12591, 616, 1419, 1572, 519, 968, 28899, 11330, 515, 1206, 892, 630, 3674, 320, 11672, 267, 22819, 31109, 267, 543, 26442, 2131, 1408, 1070, 1247, 519, 824, 476, 1321, 616, 5219, 547, 2901, 607, 968, 763, 3828, 10679, 892, 610, 519, 968, 14737, 528, 11330, 515, 1206, 2223, 1317, 741, 17005, 5339, 6561, 563, 9349, 602, 6257, 519, 9552, 540, 717, 690, 543, 7395, 690, 9502, 661, 30438, 298, 296, 5085, 607, 513, 10902, 281, 476, 272, 269, 630, 292, 345, 2131, 1408, 267, 661, 14864, 1408, 264, 815, 513, 12355, 22445, 540, 519, 476, 277, 628, 2540, 7460, 945, 729, 608, 6150, 547, 20770, 538, 7460, 476, 273, 269, 630, 292, 345, 2131, 1408, 267, 661, 14864, 1408, 267, 3883, 540, 26442, 2131, 1408, 264, 815, 606, 6196, 11620, 1433, 5627, 26442, 2131, 1408, 781, 16322, 2886, 540, 519, 31774, 540, 13243, 543, 28311, 543, 741, 7766, 269, 11330, 515, 1206, 538, 519, 3883, 540, 18301, 281, 589, 17714, 20553, 519, 7956, 269, 2776, 14083, 3816, 10225, 281, 769, 519, 1650, 5143, 538, 519, 1433, 540, 18301, 1765, 4820, 540, 519, 834, 845, 518, 28556, 257, 538, 519, 6014, 17374, 1765, 933, 1265, 267, 711, 19599, 267, 513, 1297, 540, 2984, 827, 28556, 538, 519, 11200, 532, 2239, 269, 654, 8576, 2429, 519, 9661, 540, 5840, 781, 1686, 267, 15198, 689, 519, 2669, 540, 3751, 6424, 269, 634, 5494, 2118, 8633, 5457, 5808, 1411, 3657, 281, 5530, 15015, 10905, 4287, 543, 1344, 7175, 1353, 540, 519, 1257, 1107, 519, 6426, 907, 5565, 10643, 538, 519, 16555, 3296, 540, 519, 8261, 2992, 2093, 3844, 547, 519, 28556, 543, 6754, 781, 5022, 269, 834, 763, 6478, 540, 519, 7083, 257, 26717, 909, 513, 5432, 8360, 689, 519, 28556, 1107, 513, 2312, 3948, 540, 741, 10912, 281, 1358, 12038, 630, 663, 3717, 264, 585, 708, 15505, 659, 569, 1372, 2593, 281, 2806, 532, 18484, 4964, 269, 4119, 476, 736, 267, 5788, 1548, 941, 519, 2835, 540, 519, 6426, 2854, 547, 519, 13039, 538, 519, 1715, 11620, 286, 1548, 798, 789, 723, 547, 798, 609, 721, 2221, 286, 634, 9210, 30178, 634, 19815, 956, 630, 528, 5022, 264, 540, 519, 1715, 11620, 616, 5022, 269, 0, 26073, 1811, 543, 10644, 454, 5649, 707, 1433, 9170, 267, 593, 1022, 3926, 267, 998, 4414, 306, 3559, 325, 781, 6531, 1759, 552, 5649, 518, 563, 19445, 11872, 543, 5530, 13088, 454, 289, 16742, 2987, 1353, 2645, 1331, 8711, 267, 1353, 10274, 267, 14391, 725, 267, 8847, 267, 15460, 267, 543, 5698, 563, 5970, 519, 1433, 1224, 547, 596, 2336, 763, 17404, 540, 713, 1433, 2636, 513, 6712, 540, 519, 1543, 547, 581, 1031, 22356, 563, 763, 17404, 540, 713, 1433, 2636, 513, 6712, 540, 519, 1543, 547, 581, 9102, 563, 763, 17404, 540, 713, 1433, 2636, 513, 6712, 540, 519, 1543, 547, 581, 23652, 543, 2250, 539, 883, 5007, 2645, 543, 6054, 563, 21206, 3883, 19672, 454, 21893, 1837, 568, 606, 5140, 1907, 602, 7710, 2152, 18363, 11174, 32592, 1890, 267, 6436, 267, 1062, 3210, 267, 2146, 7459, 267, 543, 2500, 3292, 547, 948, 2569, 32592, 1890, 4799, 1765, 21659, 16535, 4303, 15588, 338, 267, 9049, 310, 267, 8713, 303, 267, 14151, 3557, 2160, 779, 3427, 540, 595, 3234, 11659, 1299, 22518, 10456, 454, 17315, 8736, 5548, 22055, 1890, 281, 11202, 1811, 543, 10644, 7710, 519, 11358, 5107, 602, 1920, 267, 8194, 267, 2790, 1072, 267, 543, 3506, 723, 593, 11174, 32592, 1890, 267, 1247, 3695, 3255, 585, 6604, 543, 6304, 269, 22439, 18332, 589, 269, 631, 4150, 1777, 543, 631, 12011, 25431, 30738, 2313, 9874, 23413, 528, 2721, 689, 1296, 540, 1995, 2324, 609, 11174, 25476, 547, 8774, 1769, 593, 519, 2470, 540, 32592, 1890, 543, 519, 3309, 11444, 547, 11174, 32592, 1890, 267, 1247, 5356, 2963, 2861, 2553, 585, 7303, 543, 11222, 22626, 32249, 25476, 269, 13068, 3137, 540, 519, 2035, 543, 2219, 4538, 2013, 2090, 1847, 1053, 3564, 8357, 1436, 1765, 16780, 15758, 873, 547, 1589, 9691, 827, 11174, 32592, 1890, 543, 1118, 7840, 585, 1732, 2853, 543, 4507, 563, 24876, 707, 1053, 519, 590, 17803, 6316, 2336, 6347, 12283, 6316, 3091, 513, 7347, 2228, 1604, 10023, 606, 11141, 5044, 540, 1863, 2645, 543, 2200, 585, 2689, 267, 1353, 267, 543, 2417, 3408, 267, 5329, 1312, 16929, 543, 1053, 593, 519, 5969, 6316, 540, 3450, 543, 1565, 269, 6258, 811, 693, 6316, 4732, 720, 335, 889, 2593, 8276, 4150, 1777, 563, 16085, 1245, 1635, 1475, 6347, 12283, 23549, 2008, 347, 25835, 338, 1475, 7818, 5611, 277, 3607, 9083, 275, 267, 476, 7818, 5611, 277, 3607, 9083, 275, 267, 476, 7818, 15150, 275, 3451, 6507, 278, 278, 267, 476, 15150, 275, 3451, 6507, 278, 280, 2008, 31871, 540, 9664, 1475, 4375, 273, 347, 0, 32451, 1454, 1463, 7943, 949, 2014, 6978, 6633, 269, 1358, 1332, 547, 513, 4463, 540, 827, 476, 274, 547, 476, 277, 3952, 269, 1323, 522, 1598, 747, 535, 1716, 538, 3819, 3037, 786, 581, 8572, 547, 11883, 609, 1463, 3141, 543, 786, 7985, 689, 1085, 528, 3481, 3762, 269, 2701, 814, 4904, 1200, 28816, 4677, 538, 6777, 344, 853, 578, 324, 267, 28599, 267, 609, 513, 13795, 540, 1114, 2010, 540, 25836, 7542, 985, 602, 6445, 1200, 7997, 476, 274, 12094, 4677, 609, 11419, 543, 9403, 269, 27819, 782, 7542, 985, 1332, 1655, 538, 5848, 855, 1134, 1673, 11712, 3037, 267, 1498, 930, 786, 8853, 538, 3819, 12094, 269, 769, 11255, 14713, 267, 588, 698, 1817, 333, 7542, 985, 616, 3335, 6738, 15841, 593, 11308, 12545, 267, 5911, 30504, 267, 610, 593, 824, 7028, 602, 1683, 519, 1898, 3501, 12775, 269, 7427, 713, 2010, 540, 7542, 985, 4604, 256, 269, 1358, 4043, 547, 581, 540, 513, 5420, 20695, 267, 799, 2306, 873, 5078, 585, 9544, 538, 1034, 10651, 267, 543, 789, 616, 24215, 9157, 585, 7542, 985, 269, 9537, 540, 12113, 985, 547, 22320, 4934, 13073, 269, 634, 7542, 985, 3262, 676, 11895, 11710, 547, 1106, 2220, 23411, 538, 4677, 15135, 269, 2913, 721, 917, 538, 519, 8292, 267, 543, 5225, 2671, 713, 2985, 609, 1866, 945, 949, 581, 5461, 256, 4746, 1634, 607, 5743, 6853, 5951, 535, 1716, 267, 2371, 602, 4309, 811, 1769, 3132, 1835, 1074, 1194, 18651, 1091, 23401, 32420, 267, 1247, 1346, 3395, 538, 2407, 12094, 723, 6366, 18651, 1091, 811, 899, 1697, 3762, 269, 12113, 985, 616, 1851, 519, 9510, 2010, 540, 2371, 538, 519, 1158, 269, 898, 568, 3810, 9053, 547, 946, 538, 26484, 8916, 543, 8768, 15135, 547, 2285, 513, 4190, 1413, 547, 519, 4677, 269, 4706, 11710, 616, 513, 2620, 13711, 15918, 871, 267, 7555, 856, 23182, 1996, 519, 10347, 3039, 16714, 269, 1358, 616, 835, 540, 519, 1034, 2442, 2010, 540, 2371, 585, 695, 8014, 2127, 1317, 789, 8853, 538, 1970, 1769, 543, 2285, 1454, 2877, 3039, 543, 1272, 547, 519, 4158, 543, 20585, 15174, 540, 10651, 543, 8075, 907, 6129, 2775, 18859, 618, 281, 24761, 9940, 3141, 269, 898, 4991, 922, 2012, 19962, 547, 922, 2786, 2571, 13692, 344, 18651, 1091, 602, 18613, 522, 1598, 747, 2766, 17207, 269, 1703, 616, 513, 1297, 540, 9205, 7542, 985, 547, 3442, 689, 609, 519, 1739, 1373, 519, 1034, 1455, 281, 634, 15529, 3723, 535, 1716, 568, 513, 5065, 540, 674, 25702, 269, 9282, 789, 899, 5848, 3037, 267, 789, 3335, 1810, 1406, 899, 6632, 3037, 630, 2288, 972, 616, 930, 17756, 547, 713, 1040, 769, 1249, 267, 891, 7542, 985, 616, 865, 7381, 602, 789, 666, 3914, 15627, 540, 909, 547, 476, 276, 10264, 269, 630, 272, 269, 276, 544, 1040, 1452, 7542, 985, 3914, 15627, 540, 476, 276, 610, 476, 277, 3952, 543, 4183, 1079, 1114, 11954, 18651, 1091, 269, 4858, 651, 22513, 3082, 338, 1134, 547, 3328, 11255, 2175, 267, 15980, 621, 1776, 1455, 2012, 281, 7305, 22513, 610, 25906, 2548, 535, 1716, 269, 1452, 7509, 2000, 8221, 7542, 985, 616, 5065, 547, 519, 2136, 2276, 267, 1336, 10876, 7532, 2072, 689, 519, 14967, 5211, 269, 634, 2030, 568, 25836, 998, 22340, 3395, 10851, 476, 275, 547, 476, 280, 267, 1818, 621, 5078, 585, 2208, 538, 513, 2647, 2039, 540, 16374, 269, 12113, 985, 616, 11684, 267, 543, 972, 616, 1082, 2010, 547, 1332, 547, 9290, 707, 4677, 269, 898, 3340, 3636, 2175, 267, 1152, 1373, 25836, 538, 22340, 10851, 476, 280, 547, 476, 1556, 950, 6854, 3544, 269, 8241, 10326, 22513, 269, 898, 568, 25836, 998, 22340, 3395, 10851, 476, 276, 547, 476, 279, 269, 901, 11741, 543, 16517, 3168, 2030, 568, 849, 1572, 3165, 14752, 535, 1716, 269, 898, 9428, 1134, 538, 10851, 476, 274, 1107, 476, 278, 269, 634, 1804 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2816, 568, 547, 14377, 519, 5053, 4845, 883, 674, 1513, 328, 563, 19152, 281, 1306, 6403, 6446, 4557, 17144, 19448, 1225, 3930, 21059, 1213, 6403, 1076, 269, 19923, 18372, 562, 328, 25123, 3138, 1654, 17144, 1035, 2075, 12838, 513, 544, 6403, 598, 2234, 3930, 586, 22007, 2946, 325, 517, 657, 586, 547, 4777, 9133, 334, 632, 5430, 553, 563, 20479, 912, 24220, 20901, 476, 20901, 14534, 17262, 14180, 12168, 363, 12022, 17262, 12022, 12168, 373, 12022, 8294, 28405, 20901, 587, 490, 17262, 12168, 368, 406, 363, 28519, 20254, 587, 490, 8294, 14180, 406, 363, 17262, 404, 366, 17262, 12168, 363, 8294, 404, 368, 20254, 14534, 269, 476, 15906, 28405, 20254, 17262, 12168, 357, 406, 484, 20901, 12168, 357, 15906, 21333, 14534, 404, 490, 18457, 15906, 12168, 365, 8294, 27755, 17262, 587, 490, 21333, 17262, 21333, 14534, 476, 30764, 20901, 12168, 357, 8294, 12168, 365, 8294, 21333, 17262, 15906, 20901, 8294, 476, 15906, 12168, 359, 12022, 28519, 14180, 587, 490, 20901, 8294, 476, 15906, 476, 20901, 14507, 476, 14180, 15906, 28257, 476, 406, 484, 17262, 404, 366, 12168, 363, 17262, 406, 363, 14507, 12168, 357, 20901, 27755, 14180, 476, 14180, 404, 366, 21333, 17262, 30764, 27755, 17262, 587, 490, 404, 368, 15906, 21333, 780, 15008, 281, 594, 723, 12261, 519, 2016, 5053, 4845, 883, 674, 1513, 328, 1900, 676, 1900, 267, 1247, 4509, 519, 2495, 543, 2497, 540, 519, 3312, 4845, 607, 5702, 607, 2009, 780, 268, 1306, 6403, 6446, 4557, 17144, 19448, 1225, 3930, 21059, 1213, 6403, 1076, 269, 9847, 12168, 357, 20901, 476, 20901, 14534, 17262, 14180, 12168, 363, 12022, 17262, 12022, 12168, 373, 12022, 8294, 28405, 20901, 587, 490, 17262, 12168, 368, 406, 363, 28519, 20254, 587, 490, 8294, 14180, 406, 363, 17262, 404, 366, 17262, 12168, 363, 8294, 404, 368, 20254, 14534, 563, 263, 2026, 6403, 6446, 815, 12168, 357, 20901, 476, 20901, 14534, 17262, 14180, 12168, 363, 12022, 17262, 12022, 267, 4557, 17144, 815, 12168, 363, 8294, 404, 368, 20254, 14534, 267, 19448, 1225, 3930, 21059, 815, 12168, 373, 12022, 8294, 28405, 20901, 587, 490, 17262, 267, 1213, 6403, 1076, 815, 12168, 368, 406, 363, 28519, 20254, 587, 490, 8294, 14180, 406, 363, 17262, 404, 366, 2020, 268, 19923, 18372, 562, 328, 25123, 3138, 1654, 17144, 1035, 2075, 12838, 513, 544, 6403, 598, 2234, 3930, 586, 22007, 2946, 325, 517, 657, 586, 547, 4777, 9133, 334, 632, 5430, 553, 269, 9847, 476, 15906, 28405, 20254, 17262, 12168, 357, 406, 484, 20901, 12168, 357, 15906, 21333, 14534, 404, 490, 18457, 15906, 12168, 365, 8294, 27755, 17262, 587, 490, 21333, 17262, 21333, 14534, 476, 30764, 20901, 12168, 357, 8294, 12168, 365, 8294, 21333, 17262, 15906, 20901, 8294, 476, 15906, 12168, 359, 12022, 28519, 14180, 587, 490, 20901, 8294, 476, 15906, 476, 20901, 14507, 476, 14180, 15906, 28257, 476, 406, 484, 17262, 404, 366, 12168, 363, 17262, 406, 363, 14507, 12168, 357, 20901, 27755, 14180, 476, 14180, 404, 366, 21333, 17262, 30764, 27755, 17262, 587, 490, 404, 368, 15906, 21333, 563, 18154, 340, 18372, 815, 476, 15906, 28405, 20254, 17262, 267, 562, 328, 25123, 815, 12168, 357, 406, 484, 20901, 267, 3138, 1654, 17144, 815, 27755, 17262, 587, 490, 21333, 17262, 21333, 14534, 18457, 15906, 12168, 365, 8294, 267, 1035, 2075, 12838, 513, 544, 6403, 815, 12168, 357, 20901, 27755, 14180, 476, 14180, 404, 366, 21333, 17262, 30764, 12168, 368, 15906, 21333, 267, 598, 815, 12168, 357, 8294, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 295, 8114, 5931, 616, 22251, 543, 3140, 3332, 1644, 547, 1022, 540, 519, 3309, 5389, 1369, 554, 8114, 1143, 269, 6732, 2835, 593, 554, 8114, 1143, 267, 554, 8114, 4984, 267, 554, 8114, 2528, 269, 1924, 1775, 15475, 3833, 3274, 267, 789, 2463, 741, 13411, 2835, 676, 1739, 737, 12609, 543, 546, 327, 12609, 20994, 952, 713, 4667, 1279, 543, 568, 2182, 547, 6330, 561, 565, 269, 4475, 267, 1082, 24866, 936, 513, 1974, 540, 942, 2968, 851, 610, 8371, 540, 554, 8114, 1143, 865, 1454, 865, 602, 621, 1100, 3476, 7283, 513, 4984, 855, 513, 1259, 540, 1272, 5227, 676, 521, 1137, 269, 898, 729, 2854, 827, 2947, 8536, 1296, 3516, 607, 851, 540, 519, 30652, 629, 9618, 1092, 269, 634, 3268, 540, 554, 8114, 1143, 568, 7415, 543, 922, 3460, 998, 519, 1974, 540, 942, 568, 4502, 28505, 269, 1809, 519, 642, 539, 4842, 4978, 4682, 896, 1454, 7004, 543, 2968, 7930, 4874, 1492, 2065, 538, 1915, 269, 1358, 616, 6026, 827, 1142, 554, 8114, 1143, 13411, 1433, 267, 922, 9115, 267, 543, 875, 621, 7028, 543, 10274, 12042, 639, 538, 741, 3232, 1272, 269, 18420, 3029, 519, 6418, 4222, 540, 2486, 607, 621, 568, 2221, 269, 634, 642, 539, 553, 616, 519, 2185, 2868, 5006, 2835, 540, 519, 676, 18495, 547, 519, 1985, 267, 5310, 936, 5215, 540, 1296, 1142, 1433, 814, 2185, 2101, 5686, 540, 1257, 519, 7663, 327, 26320, 16051, 6652, 543, 1649, 539, 11881, 267, 519, 818, 1415, 752, 553, 1257, 593, 12738, 267, 18428, 267, 24279, 543, 3090, 923, 659, 337, 881, 525, 267, 519, 2909, 327, 2006, 553, 6085, 2456, 593, 12738, 267, 18428, 543, 24279, 267, 543, 519, 909, 4314, 6758, 5931, 7234, 9066, 267, 6138, 269, 634, 5354, 540, 519, 642, 539, 553, 616, 2808, 519, 695, 337, 583, 328, 267, 799, 568, 12261, 547, 602, 799, 568, 2182, 269, 18420, 1281, 711, 723, 513, 2582, 13411, 1433, 267, 855, 1082, 3504, 5931, 543, 30920, 269, 2311, 519, 1482, 942, 267, 12666, 1143, 267, 1289, 621, 8471, 10892, 267, 4847, 519, 4984, 10929, 12381, 609, 942, 563, 5445, 3893, 741, 1459, 1106, 1063, 476, 6344, 22903, 271, 536, 576, 543, 941, 5189, 547, 269, 18420, 4647, 2835, 267, 10723, 267, 5289, 5931, 543, 7824, 269, 18420, 13411, 1433, 1271, 2835, 543, 12591, 540, 554, 8114, 1143, 269, 1280, 811, 593, 945, 8547, 554, 8114, 1143, 3643, 554, 8114, 1143, 13653, 269, 634, 512, 15785, 534, 1433, 540, 519, 4666, 1101, 540, 782, 972, 786, 2408, 547, 596, 267, 2220, 604, 614, 982, 17500, 267, 519, 24788, 748, 26672, 528, 540, 519, 2681, 1652, 1769, 540, 7962, 1465, 267, 543, 602, 786, 3295, 596, 593, 782, 5011, 563, 4407, 649, 723, 519, 1292, 642, 539, 553, 267, 909, 4314, 6758, 267, 519, 30652, 629, 9618, 1092, 538, 1896, 16627, 649, 849, 1459, 18960, 6085, 2456, 267, 16320, 3098, 269, 3967, 476, 5881, 267, 476, 1220, 280, 519, 546, 327, 2459, 777, 3385, 568, 513, 1434, 1433, 543, 2965, 519, 536, 327, 698, 822, 611, 575, 7534, 568, 811, 14609, 11297, 982, 554, 8114, 1143, 269, 634, 14609, 3873, 267, 546, 327, 12609, 543, 7254, 724, 320, 616, 1767, 547, 581, 13411, 543, 17709, 540, 27527, 269, 634, 30920, 540, 519, 642, 539, 553, 616, 5921, 547, 3391, 554, 8114, 21071, 538, 741, 3232, 2729, 269, 634, 4984, 540, 554, 8114, 1143, 12090, 538, 7187, 15242, 267, 2282, 519, 5757, 967, 639, 267, 827, 476, 6110, 271, 1296, 3516, 543, 568, 519, 10600, 9510, 4540, 4984, 563, 763, 3661, 1062, 538, 519, 31448, 4984, 568, 13890, 689, 891, 30920, 269, 4924, 476, 5881, 267, 476, 1001, 273, 554, 8114, 1143, 568, 1454, 4587, 982, 1022, 540, 519, 824, 10764, 269, 634, 642, 539, 553, 543, 891, 824, 1568, 616, 2417, 5258, 883, 1079, 6810, 269, 634, 909, 4314, 6758, 616, 849, 1572, 607, 642, 539, 656, 553, 610, 519, 1439, 540, 519, 642, 539, 553, 269, 769, 713, 1433, 519, 4589, 16785, 883, 642, 14037, 6128, 543, 2263, 952, 621, 568, 2731, 642, 14037, 538, 5169, 610, 6128, 538, 1543, 269, 18420, 30573, 11015, 535, 321, 529, 323, 3786, 4926, 3817, 476, 272, 476, 275, 269, 1358, 849, 948, 547, 8190, 519, 3909, 7516, 540, 1920, 543, 2486, 269, 5637, 519, 15155, 27011, 543, 519, 30652, 629, 9618, 1092, 2832, 547, 3715, 546, 327, 12609, 538, 519, 2486, 563, 2467, 616, 513, 1297, 540, 2835, 543, 1114, 2516, 540, 12042, 639, 1747, 8795, 2956, 547, 1114, 3283, 269, 634, 2185, 15626, 18408, 616, 1767, 547, 581, 513, 13411, 3450, 269, 3371, 693, 519, 554, 8114, 1143, 7611, 540, 267, 649, 2832, 693, 9306, 519, 3312, 1568, 602, 2482, 519, 13210, 540, 554, 8114, 1143, 269, 594, 1589, 596, 616, 14845, 1945, 602, 568, 13411, 689, 1945, 602, 568, 2915, 2742, 269, 589, 13411, 2835, 585, 519, 23984, 2812, 616, 519, 12534, 600, 339, 597, 340, 11663, 698, 600, 543, 2820, 5984, 533, 4599, 663, 5069, 269, 7638, 330, 5554, 515, 1206, 6269, 325, 3430, 940, 818, 26627, 325, 3430, 940, 541, 9631, 2357, 330, 5554, 515, 1084, 538, 558, 5260, 531, 2083, 657, 1993, 328, 1474, 20369, 330, 860, 328, 269, 13225, 698, 822, 611, 575, 7534, 2241, 7005, 28957, 267, 519, 1863, 22605, 269, 594, 666, 849, 1174, 602, 554, 8114, 1143, 814, 811, 13411, 2835, 267, 7429, 824, 10764, 267, 855, 568, 972, 1022, 13411, 1433, 540, 519, 512, 7056, 521, 269, 9699, 13411, 1433, 30573, 4267, 267, 10881, 267, 4214, 269, 4208, 1058, 1004, 1353, 3909, 2090, 267, 2687, 547, 519, 1453, 563, 12606, 519, 23573, 267, 519, 13411, 7117, 584, 534, 267, 519, 30652, 629, 9618, 1092, 267, 543, 5215, 540, 1863, 7824, 552, 9248, 593, 14609, 11297, 267, 9066, 267, 3092, 269, 18243, 2967, 561, 4821, 267, 642, 880, 9366, 554, 8114, 25110, 611, 642, 327, 335, 522, 577, 546, 329, 1575, 3939, 269, 4033, 982, 513, 1906, 28031, 802, 899, 713, 267, 713, 568, 519, 1152, 1433, 1775, 1223, 1265, 602, 3947, 513, 1434, 267, 561, 16112, 269, 28174, 553, 2241, 7005, 28957, 267, 519, 1863, 22605, 269, 18420, 1281, 711, 1175, 723, 835, 10723, 1433, 855, 1896, 30920, 269, 634, 642, 539, 553, 616, 30920, 602, 519, 554, 8114, 1004, 946, 607, 513, 3391, 547, 3232, 543, 3909, 1272, 563, 763, 3448, 6392, 540, 3909, 5931, 10953, 936, 942, 543, 568, 6508, 689, 519, 3731, 2305, 269, 6258, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 1323, 2038, 4704, 568, 1336, 538, 519, 669, 663, 690, 5984, 909, 4314, 611, 476, 278, 269, 8830, 11446, 616, 29933, 538, 1297, 267, 24223, 827, 519, 1614, 2101, 10971, 538, 554, 8114, 1143, 267, 1634, 607, 519, 13411, 959, 6541, 269, 4924, 476, 1015, 267, 476, 1001, 272, 12042, 639, 4043, 547, 2543, 554, 8114, 1143, 811, 607, 513, 1259, 540, 1272, 982, 513, 4984, 1317, 922, 519, 5837, 10752, 602, 616, 519, 4493, 540, 519, 4984, 267, 519, 24587, 616, 1018, 1118, 568, 3909, 269, 1284, 4126, 602, 519, 1739, 1592, 540, 19655, 585, 519, 2262, 554, 8114, 13411, 1433, 786, 948, 596, 547, 9096, 707, 30573, 2221, 269, 1548, 616, 519, 1283, 4557, 10764, 543, 1018, 568, 519, 13411, 1433, 269, 6936, 547, 922, 2470, 267, 972, 568, 711, 1175, 835, 27403, 602, 568, 24080, 7608, 269, 17124, 4718, 729, 2016, 519, 13411, 7117, 584, 534, 998, 10143, 6304, 2429, 1010, 10715, 269, 18420, 814, 9937, 540, 5215, 540, 13411, 17633, 543, 695, 21218, 267, 6140, 538, 15242, 267, 855, 1631, 4092, 1472, 519, 1158, 269, 634, 546, 327, 2459, 777, 3385, 568, 513, 1434, 1433, 543, 2965, 519, 536, 327, 698, 822, 611, 575, 7534, 568, 811, 14609, 11297, 982, 554, 8114, 1143, 269, 589, 3128, 344, 2835, 585, 519, 23984, 2812, 616, 519, 12534, 600, 339, 597, 340, 11663, 698, 600, 543, 2820, 5984, 533, 4599, 663, 5069, 269, 4033, 982, 513, 1906, 28031, 802, 899, 713, 267, 713, 568, 519, 1152, 1433, 1775, 1223, 1265, 602, 3947, 513, 1434, 267, 561, 16112, 267, 18340, 7650, 610, 8137, 540, 519, 9115, 540, 782, 519, 642, 539, 553, 269, 4033, 13411, 30920, 538, 554, 8114, 1143, 616, 1572, 519, 909, 534, 529, 6758, 267, 519, 1159, 337, 583, 529, 267, 519, 1625, 11446, 267, 519, 15155, 27011, 543, 519, 30652, 629, 9618, 1092, 563, 296, 723, 711, 21821, 539, 513, 2898, 17048, 593, 519, 3332, 593, 519, 1888, 269, 634, 13411, 642, 539, 553, 568, 606, 11108, 16320, 1108, 540, 18627, 3144, 689, 519, 26060, 2185, 642, 539, 553, 540, 554, 8114, 13299, 267, 12261, 883, 7005, 585, 519, 4324, 540, 519, 2527, 519, 2185, 642, 539, 553, 540, 554, 8114, 2528, 267, 519, 6551, 1386, 320, 267, 586, 1690, 20940, 320, 267, 6622, 541, 341, 8491, 320, 267, 543, 7663, 8491, 320, 267, 616, 2808, 547, 581, 519, 30920, 602, 3989, 519, 6197, 543, 4978, 540, 782, 12042, 639, 269, 26186, 603, 476, 6245, 277, 2139, 2228, 1934, 4950, 10723, 1257, 21287, 269, 589, 1906, 5931, 616, 3838, 2200, 2066, 891, 5389, 543, 17618, 2808, 607, 554, 8114, 30920, 269, 18420, 839, 2357, 330, 5554, 515, 1206, 6269, 325, 3430, 940, 4984, 22408, 636, 5471, 269, 1879, 649, 1265, 513, 1433, 609, 1543, 602, 3568, 513, 6474, 585, 707, 3406, 2474, 267, 1134, 3095, 547, 621, 538, 707, 3406, 2164, 269, 25587, 554, 8114, 3909, 3401, 1331, 544, 2129, 663, 553, 575, 16905, 543, 4164, 1695, 753, 320, 15446, 534, 7701, 267, 13653, 540, 519, 1582, 9418, 1436, 31776, 269, 18420, 568, 513, 4984, 799, 814, 896, 8854, 1082, 2242, 7429, 824, 10764, 540, 519, 1158, 269, 1358, 8428, 689, 5339, 5931, 676, 1373, 513, 28094, 610, 4901, 540, 4978, 267, 7242, 3098, 267, 9161, 2853, 267, 4971, 906, 610, 4031, 267, 5683, 2932, 267, 5289, 17050, 267, 543, 585, 2870, 610, 5807, 513, 3909, 2146, 269, 4706, 5289, 4295, 568, 922, 13411, 2367, 543, 2021, 945, 723, 6131, 741, 2729, 547, 2407, 5503, 3028, 267, 20174, 543, 5601, 20185, 267, 543, 547, 605, 8010, 532, 519, 18163, 18408, 540, 519, 7254, 520, 3570, 546, 327, 12609, 563, 4467, 12723, 538, 642, 14037, 521, 14234, 1728, 332, 985, 267, 519, 5931, 13822, 519, 9510, 4494, 540, 521, 14234, 3332, 543, 519, 9510, 30920, 540, 554, 8114, 1143, 269, 18420, 568, 1316, 2213, 676, 811, 982, 476, 3199, 260, 540, 967, 5362, 2551, 269, 2368, 3909, 5931, 616, 7608, 610, 19040, 607, 28138, 267, 930, 562, 269, 15345, 20369, 330, 582, 518, 777, 328, 267, 1514, 1541, 527, 564, 522, 577, 2357, 330, 5554, 515, 1206, 6269, 325, 3430, 940, 269, 2755, 649, 723, 519, 1292, 642, 539, 553, 267, 909, 4314, 6758, 267, 519, 30652, 629, 9618, 1092, 538, 1896, 16627, 649, 849, 1459, 18960, 6085, 2456, 267, 16320, 3098, 267, 543, 7357, 1007, 8371, 540, 554, 8114, 1143, 269, 9699, 13411, 1433, 554, 8114, 13411, 1433, 568, 513, 4484, 8360, 4358, 609, 554, 543, 10678, 609, 737, 19655, 267, 30573, 4267, 543, 824, 1644, 1913, 585, 554, 8114, 13411, 1433, 269, 18420, 1492, 1625, 11446, 530, 1731, 756, 23697, 267, 1930, 2835, 585, 606, 1930, 1158, 269, 2353, 827, 554, 8114, 1143, 568, 5497, 547, 2743, 519, 2115, 540, 1346, 945, 1616, 547, 581, 5189, 547, 519, 1585, 18125, 540, 519, 12627, 602, 568, 554, 8114, 1143, 269, 634, 642, 20364, 568, 513, 2864, 8966, 4015, 540, 3332, 269, 29447, 583, 328, 12851, 547, 519, 642, 14037, 1974, 1247, 1159, 761, 328, 12851, 547, 519, 2022, 1386, 545, 1974, 269, 16179, 554, 8114, 1143, 1433, 554, 8114, 1143, 13411, 2835, 2206, 327, 14552, 269, 16241, 5931, 616, 5931, 1644, 547, 513, 3909, 2245, 269, 769, 2757, 554, 8114, 1143, 267, 519, 642, 539, 553, 616, 2808, 10143, 538, 5169, 543, 616, 10924, 547, 581, 11240, 725, 689, 5601, 269, 898, 814, 1044, 936, 476, 7742, 271, 1296, 2094, 14609, 11297, 7153, 607, 513, 4984, 267, 543, 519, 2189, 11455, 5289, 7067, 621, 3947, 814, 2938, 621, 3478, 2442, 538, 1082, 824, 2694, 540, 519, 1158, 563, 5278, 540, 519, 824, 13411, 1568, 543, 2835, 540, 554, 8114, 1143, 269, 1703, 616, 2705, 1079, 13411, 2835, 585, 554, 8114, 1143, 519, 30652, 629, 15590, 1092, 543, 519, 15155, 27011, 269, 667, 2632, 1589, 540, 891, 9456, 10764, 538, 519, 1482, 2796, 540, 7262 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1875, 321, 17424, 2068, 971, 607, 10194, 5563, 267, 1519, 11483, 293, 14915, 622, 267, 595, 3146, 5562, 3940, 267, 605, 5632, 31842, 13908, 267, 543, 930, 29299, 267, 610, 7463, 25859, 585, 4551, 971, 607, 2802, 29899, 28538, 728, 267, 723, 7283, 7361, 8097, 543, 2760, 4922, 11368, 883, 519, 5868, 540, 9190, 23971, 4345, 563, 1103, 519, 9000, 540, 513, 6166, 2218, 2528, 610, 824, 6325, 10368, 1449, 585, 9190, 7103, 538, 2550, 5910, 8972, 585, 513, 16912, 539, 9190, 3968, 267, 519, 11983, 5714, 9043, 630, 324, 3052, 1421, 1591, 1293, 267, 11186, 267, 3940, 267, 543, 7280, 264, 538, 865, 10777, 13148, 5701, 9190, 23971, 4345, 568, 26526, 5812, 543, 2370, 4957, 689, 602, 540, 2550, 609, 2318, 11483, 293, 4529, 945, 723, 711, 1044, 5910, 8972, 609, 11216, 630, 8368, 476, 272, 1040, 8307, 519, 4908, 540, 2318, 4529, 543, 12896, 24308, 12962, 568, 4389, 538, 1346, 1453, 609, 9190, 23971, 4345, 945, 723, 4607, 11216, 1354, 561, 29856, 14047, 675, 630, 1321, 1040, 2201, 8317, 267, 519, 5868, 540, 9190, 23971, 4345, 666, 581, 1476, 15903, 676, 519, 23139, 15779, 561, 29856, 14047, 675, 267, 799, 814, 1044, 6059, 547, 2049, 538, 476, 1428, 260, 1700, 736, 260, 540, 1453, 269, 2368, 4589, 723, 6700, 602, 952, 8990, 540, 519, 5223, 540, 3043, 1973, 2281, 270, 7825, 274, 547, 2699, 1973, 2281, 270, 7825, 274, 538, 11483, 293, 20489, 519, 5223, 538, 519, 15672, 1973, 267, 519, 4430, 3043, 1973, 2281, 1223, 2099, 12982, 5418, 26014, 2670, 630, 1724, 1040, 1717, 267, 17053, 2090, 723, 1419, 1336, 602, 713, 8990, 568, 25619, 269, 4475, 267, 538, 1346, 2665, 538, 799, 519, 11483, 293, 4681, 798, 711, 1489, 513, 9190, 3968, 267, 513, 2318, 2528, 610, 824, 6325, 10368, 1353, 585, 14471, 814, 7283, 519, 3044, 585, 513, 5868, 540, 17386, 9190, 23971, 4345, 267, 609, 21483, 610, 2009, 6688, 8506, 5051, 1447, 22608, 11215, 7355, 563, 9377, 20532, 540, 645, 17424, 631, 2287, 4345, 4595, 476, 1960, 271, 454, 7712, 476, 1960, 271, 267, 3370, 2090, 723, 2356, 6964, 513, 4214, 540, 9190, 23971, 4345, 602, 2838, 519, 10072, 540, 606, 11248, 538, 2528, 267, 2901, 2047, 689, 519, 11483, 293, 610, 519, 1973, 269, 634, 15544, 585, 8376, 6513, 9190, 4295, 13178, 1788, 267, 799, 2882, 13178, 585, 782, 519, 2101, 13596, 540, 2146, 14092, 638, 1600, 23971, 4345, 267, 1519, 1895, 645, 1792, 696, 25497, 857, 267, 12794, 655, 17232, 639, 4623, 345, 2801, 267, 3026, 1170, 4997, 23971, 527, 573, 529, 267, 543, 6790, 696, 19905, 16415, 324, 267, 814, 1031, 513, 2013, 4214, 540, 968, 529, 15684, 630, 324, 3052, 1421, 2528, 2318, 264, 540, 2507, 9190, 13596, 689, 513, 7363, 25062, 3135, 892, 630, 1691, 1040, 634, 15544, 585, 8376, 6513, 543, 2817, 715, 657, 665, 6706, 25124, 24028, 11462, 723, 3989, 23971, 25497, 5632, 267, 688, 655, 17232, 639, 267, 543, 13969, 25497, 5632, 3968, 609, 13178, 8847, 8506, 2318, 4529, 610, 2318, 18970, 4255, 585, 23971, 25497, 5632, 5563, 538, 519, 2665, 540, 1625, 335, 3120, 267, 609, 2942, 9190, 4529, 610, 688, 655, 17232, 639, 18970, 25273, 1152, 609, 3968, 1813, 547, 12794, 655, 17232, 639, 4623, 345, 2801, 538, 9190, 23971, 4345, 269, 5221, 540, 4057, 8417, 543, 23506, 267, 13969, 25497, 5632, 2318, 18970, 4255, 723, 711, 1044, 3769, 607, 7355, 538, 15544, 585, 8376, 6513, 543, 2817, 715, 657, 665, 6706, 25124, 24028, 11462, 8847, 563, 1103, 476, 1960, 273, 267, 9517, 6347, 19775, 17046, 4808, 585, 519, 25046, 7355, 585, 4791, 8062, 540, 21734, 8069, 585, 9190, 23971, 4345, 630, 1428, 1070, 7551, 3246, 519, 1101, 13387, 4214, 540, 9190, 23971, 4345, 269, 4595, 602, 942, 267, 8062, 540, 11216, 585, 519, 2126, 540, 9190, 23971, 4345, 723, 1419, 11855, 891, 7355, 630, 8368, 476, 273, 264, 607, 519, 3044, 585, 519, 5868, 540, 9190, 23971, 4345, 630, 1626, 267, 476, 1704, 1040, 4935, 267, 519, 4867, 6069, 8847, 585, 9190, 23971, 4345, 585, 12256, 267, 19440, 919, 267, 543, 1453, 6069, 1934, 616, 970, 1905, 565, 730, 689, 1312, 519, 3140, 8847, 543, 519, 8847, 3177, 676, 519, 476, 1960, 273, 9517, 6347, 4808, 30363, 676, 15966, 571, 1188, 523, 1696, 620, 630, 8368, 476, 274, 264, 630, 1428, 1040, 4475, 267, 607, 1454, 607, 2009, 267, 519, 8847, 540, 9190, 23971, 4345, 3177, 14626, 728, 609, 1346, 540, 519, 9517, 6347, 543, 723, 1044, 6963, 4327, 547, 1683, 519, 17386, 267, 21483, 267, 543, 2009, 6688, 563, 763, 9517, 6347, 7355, 3177, 513, 5868, 540, 9190, 23971, 4345, 538, 2185, 7653, 267, 9256, 519, 2164, 540, 513, 5812, 4791, 6794, 7132, 2901, 513, 2318, 9190, 2528, 267, 9190, 18970, 4255, 267, 543, 17244, 540, 519, 11483, 293, 5812, 609, 9190, 23971, 4345, 269, 634, 9517, 6347, 7355, 10924, 513, 5868, 630, 324, 3052, 1421, 17386, 264, 540, 9190, 23971, 4345, 1152, 950, 513, 9190, 2528, 540, 519, 11483, 293, 610, 1973, 568, 2318, 538, 7681, 609, 606, 25983, 1275, 540, 11483, 293, 32151, 14231, 267, 7280, 267, 610, 3940, 5812, 609, 9190, 23971, 4345, 269, 1403, 972, 568, 513, 2942, 1973, 610, 11483, 293, 2528, 267, 519, 5868, 568, 7608, 950, 1312, 519, 11483, 293, 18970, 1449, 543, 11483, 293, 17244, 616, 2318, 543, 513, 15095, 4791, 6794, 269, 5221, 713, 7121, 568, 1447, 22608, 855, 2488, 513, 3810, 21483, 23633, 5868, 540, 9190, 3968, 267, 621, 7208, 1571, 519, 10368, 7121, 540, 21483, 9190, 23971, 4345, 269, 5221, 519, 9517, 6347, 4808, 941, 547, 11886, 519, 4170, 585, 25046, 585, 7127, 883, 5123, 8633, 772, 2529, 269, 5253, 543, 10684, 10029, 2090, 540, 9190, 5563, 267, 17431, 540, 519, 11248, 676, 2528, 610, 18970, 7020, 729, 2838, 585, 25046, 269, 4475, 267, 2009, 610, 21483, 9190, 23971, 4345, 607, 7396, 538, 7305, 476, 274, 1281, 711, 11886, 1022, 540, 519, 9517, 6347, 7355, 1317, 7020, 540, 4551, 568, 711, 2838, 267, 855, 713, 4214, 1281, 6474, 1346, 540, 3105, 2090, 540, 519, 2126, 543, 27496, 540, 9190, 23971, 4345, 602, 8246, 8847, 540, 7510, 8328, 610, 1625, 12040, 7164, 23971, 4345, 269, 13689, 593, 519, 4791, 4259, 267, 4908, 540, 3105, 11216, 267, 543, 2298, 540, 18117, 1670, 2930, 2533, 267, 519, 2009, 7121, 814, 1044, 6059, 547, 2099, 476, 276, 260, 1700, 736, 260, 540, 2665, 563, 10468, 517, 7614, 9190, 5563, 723, 2838, 519, 10072, 540, 519, 11248, 1317, 9444, 519, 4791, 6794, 6862, 519, 11483, 293, 2242, 2404, 609, 9190, 3968, 538, 4587, 5396, 616, 9846, 1459, 1282, 9190, 3968, 540, 519, 3844, 8401, 1062, 538, 19440, 919, 630, 8368, 476, 273, 264, 630, 1240, 267, 476, 866, 1040, 4014, 30243, 592, 848, 24308, 588, 20942, 25497, 857, 616, 7928, 3123, 540, 25687, 538, 19440, 919, 267, 789, 723, 1044, 1102, 18526, 2404, 609, 5563, 540, 519, 3844, 8401, 1062, 267, 8259, 519, 10867, 814, 513, 3926, 5579, 5896, 538, 519, 3844, 8401, 1062, 267, 971, 607, 513, 28602, 592, 739, 3912, 610, 5887, 14152, 695, 2863, 630, 736, 1040, 4475, 267, 519, 10072, 540, 891, 7103, 538, 12256, 1510, 971, 3457, 5176, 2141, 4564, 513, 8764, 656, 538, 519, 11483, 293, 2528, 543, 711, 513, 3020, 19800, 563, 309, 12637, 3968, 568, 519, 1034, 1455, 2014, 540, 6553, 540, 519, 3844, 8401, 1062, 543, 8650, 27095, 686, 548, 29363, 14527, 540, 1453, 543, 616, 5941, 13713, 1317, 540, 519, 10368, 10539, 789, 1266, 2658, 538, 519, 11186, 540, 9190, 3968, 269, 32035, 540, 10194, 5169, 616, 3622, 9286, 607, 23971, 4345, 267, 23971, 334, 775, 13921, 4345, 267, 610, 29363, 4345, 1759, 593, 519, 3448, 4791, 7418, 540, 23971, 7002, 6553, 610, 9525, 540, 519, 2634, 30822, 577, 2096, 320, 269, 7756, 2747, 689, 9190, 3968, 540, 519, 3844, 8401, 1062, 568, 1500, 593, 519, 4493, 540, 4191, 543, 2589, 267, 1519, 4791, 27496, 543, 11483, 293, 2242, 269, 11916, 2589, 5812, 609, 23971, 7002, 9525, 616, 7646, 518, 855, 16937, 609, 1346, 540, 9190, 3968, 267, 6466, 538, 23971, 334, 775, 13921, 4345, 543, 29363, 4345, 267, 519, 19548, 2589, 543, 4191, 2392, 558, 3729, 609, 4756, 2404, 23971, 7002, 9525, 269, 11916, 2589, 949, 4268, 689, 7646, 547, 4049, 1875, 325, 5914, 20902, 29363, 14527, 547, 602, 540, 1152, 17122, 4681, 269, 11483, 293, 5418, 26014, 2670, 543, 2242, 538, 11483, 293, 7998, 616, 1419, 3982, 267, 3622, 609, 513, 1395, 517, 13086, 5418, 26014, 2670, 540, 476, 1911, 1700, 4968, 3043, 1973, 2281, 270, 7825, 274, 267, 855, 666, 2039, 909, 547, 513, 1906, 8536, 267, 513, 3339, 610, 16434, 569, 11506, 3940, 267, 543, 513, 3339, 7280, 630, 2641, 1040, 1717, 267, 2038, 538, 519, 4576, 267, 11483, 293, 3043, 1591, 12523, 949, 9765, 476, 1911, 271, 270, 7825, 274, 267, 609, 513, 2392, 7631, 766, 540, 26340, 517, 13086, 2281, 630, 2420, 267, 476, 2537, 1040, 4475, 267, 519, 17431, 540, 10194, 26898, 610, 31332, 7408, 267, 610, 10194, 1808, 12489, 267, 538, 11483, 293, 568, 2838, 547, 17046, 569, 3715, 513, 5868, 540, 10194, 2068, 540, 519, 3844, 8401, 1062, 630, 2190, 1700, 2918, 1040, 1879, 3379, 609, 10194, 2528, 267, 19738, 585, 4283, 990, 21905, 538, 11483, 293, 5439, 568, 4749, 2318, 267, 3379, 609, 1152, 827, 476, 1015, 260, 585, 10194, 2528, 267, 27548, 513, 8417, 543, 23506, 540, 476, 5952, 269, 278, 260, 543, 476, 11152, 269, 280, 9077, 6606, 630, 2918, 1040, 4033, 2090, 1210, 4283, 990, 12637, 19738, 538, 1762, 12256, 723, 7152, 22740, 8481, 16042, 476, 1911, 9077, 609, 1808, 885, 23630, 476, 3445, 10065, 5221, 4283, 990, 21905, 616, 519, 12880, 2014, 540, 519, 968, 848, 10364, 23971, 4345, 892, 6794, 267, 713, 2582, 1449, 568, 2693, 547, 23868, 513, 10194, 1696, 5735, 538, 3436, 3445, 260, 540, 1453, 269, 21676, 9482, 609, 11483, 293, 267, 4791, 267, 543, 3566, 328, 11043, 4681, 602, 23868, 9190, 3968, 630, 324, 3052, 1421, 2528, 610, 9190, 18970, 4152, 1070, 513, 5868, 540, 513, 10194, 1696, 5735, 666, 581, 3964, 538, 1034, 1453, 269, 1717, 267, 519, 7121, 11855, 1657, 540, 2009, 9190, 23971, 4345, 568, 2693, 547, 3648, 16937, 538, 4791, 2589, 543, 11483, 293, 2242, 609, 602, 540, 10194, 23971, 4345, 563, 2690, 3123, 540, 10194, 3844, 8401, 1062, 3968, 267, 824, 982, 4283, 990, 12637, 5563, 267, 1082, 824, 19738, 4255, 616, 538, 1646, 267, 543, 930, 267, 971, 607, 1346, 585, 15601, 8290, 267, 616, 4922, 2139, 855, 711, 2943, 9516, 676, 519, 772, 2529, 269, 5253, 543, 10684, 10029, 630, 2767, 1040, 1717, 267, 1317, 29363, 4345, 814, 1256, 513, 3152, 2039, 538, 4791, 4681, 543, 16917, 328, 11043, 5468, 267, 519, 5868, 786, 4096, 593, 519, 4791, 6794, 543, 11483, 293, 2242, 5812, 609, 513, 10194, 31630, 267, 543, 950, 2139, 267, 513, 1808, 11483, 293, 2528, 267, 10194, 17193, 267, 610, 19738, 1267, 602, 568, 2404, 609, 1164, 8417, 543, 23506, 267, 971, 607, 1346, 585, 15601, 543, 4639, 20407, 23971, 334, 775, 13921, 4345, 630, 2764, 267, 476, 3066, 1040, 769, 1840, 267, 585, 1034, 2665, 267, 9444, 519, 11483, 293, 610, 4529, 540, 2901, 1973, 610, 11483, 293, 786, 2743, 519, 7355, 585, 5868, 540, 9190, 3968, 269, 4475, 267, 538, 1346, 9190, 543, 10194, 25102, 27689, 609, 20718, 11483, 293, 4681, 267, 519, 5868, 540, 519, 2693, 1808, 31630, 1131, 4096, 593, 2901, 519, 10072, 540, 4551, 689, 606, 3617, 11483, 293, 610, 1973, 2528, 610, 519, 17431, 540, 513, 3644, 689, 11483, 293, 676, 2901, 29920, 5832, 5114, 267, 1808, 27179, 12489, 267, 610, 2528, 540, 519, 3644, 563, 5425, 293, 1744, 2863, 32035, 454, 14813, 1254, 540, 519, 5887, 14152, 695, 2863, 4386, 538, 909, 547, 476, 2767, 260, 540, 1453, 609, 8652, 21306, 639, 267, 543, 4352, 695, 2863, 5563, 949, 723, 513, 968, 20200, 673, 892, 4791, 6794, 543, 11483, 293, 4681, 630, 341, 558, 1746, 267, 8611, 267, 3844, 8401, 1062, 14524, 267, 543, 11483, 293, 32151, 26014, 2670, 1070, 891, 949, 4268, 676, 519, 942, 540, 12614, 1310, 695, 2863, 13307, 267, 519, 19800, 4929, 5563, 267, 543, 3135, 540, 3968, 538, 2901, 519, 9938, 2711, 630, 1203, 14152, 264, 610, 30218, 630, 520, 7434, 610, 829, 32050, 531, 264, 29259, 630, 1789, 267, 476, 4029, 1040, 4475, 267, 519, 5868, 540, 9190, 695, 2863, 3968, 3112, 581, 3964, 676, 11483, 293, 543, 4791, 4681, 4805, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 827, 519, 2956, 585, 1142, 2014, 585, 519, 5722, 3123, 540, 4853, 1143, 519, 8087, 2829, 540, 13314, 568, 513, 269, 7605, 321, 1231, 267, 17794, 601, 476, 4350, 280, 519, 2804, 3123, 540, 2112, 561, 5064, 281, 1309, 701, 1455, 2934, 538, 519, 4505, 7269, 543, 2663, 22030, 540, 519, 8087, 2829, 269, 11633, 1143, 1775, 786, 5659, 519, 3123, 540, 519, 4473, 540, 519, 4853, 1143, 538, 519, 3735, 476, 866, 628, 2540, 1898, 2243, 281, 1018, 3361, 519, 4473, 540, 4853, 1143, 538, 519, 8087, 2829, 563, 292, 2202, 1282, 713, 476, 10219, 4458, 12732, 729, 1312, 8087, 543, 7184, 4838, 543, 519, 2208, 540, 4853, 2486, 267, 24067, 2829, 941, 5051, 19526, 538, 269, 3399, 4974, 3670, 3123, 540, 22713, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 4804, 6859, 17412, 519, 1883, 6639, 267, 2797, 267, 543, 13664, 2188, 602, 8329, 547, 519, 2344, 4838, 538, 519, 8087, 2829, 269, 634, 4853, 4838, 729, 519, 968, 24030, 19944, 8462, 892, 602, 3710, 519, 13210, 585, 938, 2413, 2486, 630, 28496, 6202, 267, 476, 3192, 272, 269, 6004, 556, 11445, 781, 1362, 3896, 3406, 519, 8087, 2829, 998, 4853, 1143, 9284, 525, 1053, 538, 513, 3532, 3460, 998, 630, 328, 666, 264, 6218, 519, 2789, 3123, 563, 1692, 1705, 4853, 1143, 1860, 1018, 729, 513, 2101, 4324, 540, 519, 1863, 13055, 1062, 538, 519, 8087, 2829, 1282, 1018, 2242, 3366, 547, 519, 4853, 4838, 269, 11633, 1436, 281, 22713, 4853, 1143, 5526, 547, 1711, 513, 519, 5137, 540, 519, 968, 16371, 1062, 892, 538, 519, 8087, 2829, 729, 519, 6364, 540, 269, 634, 3123, 540, 1126, 4074, 1453, 1063, 519, 6502, 540, 476, 276, 543, 476, 1015, 941, 7722, 538, 2744, 995, 23909, 538, 519, 8087, 2829, 540, 13314, 476, 5197, 271, 781, 1126, 4074, 538, 563, 763, 1909, 540, 519, 1007, 4853, 2085, 281, 1310, 519, 3540, 2112, 538, 519, 1686, 540, 519, 8087, 2829, 540, 13314, 269, 2136, 2829, 22713, 538, 13314, 585, 3506, 267, 6780, 267, 3214, 543, 1453, 22713, 538, 13314, 910, 3123, 540, 22713, 538, 13314, 269, 6969, 519, 4853, 4838, 267, 972, 729, 513, 942, 18848, 538, 3592, 3388, 602, 3576, 1747, 538, 519, 8087, 2829, 519, 6283, 4838, 4957, 782, 540, 269, 2677, 704, 622, 1004, 689, 1169, 2197, 538, 519, 1158, 1166, 18088, 547, 519, 8087, 2829, 547, 9101, 741, 596, 1175, 8737, 20012, 538, 519, 476, 866, 628, 2540, 721, 320, 8799, 960, 563, 14532, 540, 519, 8087, 2829, 22713, 543, 6963, 630, 6942, 271, 268, 4489, 277, 264, 519, 4853, 2208, 602, 3459, 538, 519, 8087, 2829, 538, 519, 2038, 476, 5197, 271, 781, 4797, 20406, 909, 547, 543, 998, 519, 7819, 3540, 2112, 269, 0, 3719, 1018, 729, 621, 2731, 899, 5665, 513, 1854, 9535, 2754, 896, 519, 5230, 2229, 632, 28832, 4847, 721, 547, 798, 1018, 649, 798, 26708, 6283, 269, 1879, 632, 28832, 540, 6283, 543, 3282, 543, 3154, 3459, 538, 2229, 538, 5279, 540, 1870, 5777, 543, 13848, 275, 585, 323, 267, 1286, 614, 267, 543, 632, 28832, 538, 519, 269, 6554, 6042, 1860, 782, 3344, 540, 519, 4346, 2705, 267, 930, 9922, 616, 1641, 547, 1808, 6042, 1813, 547, 741, 2956, 713, 269, 667, 699, 326, 1637, 568, 950, 519, 2229, 18788, 9993, 538, 606, 2872, 5294, 543, 931, 1806, 538, 519, 12948, 267, 1648, 543, 29617, 6080, 563, 9558, 1636, 566, 9297, 910, 6283, 7939, 543, 632, 28832, 281, 585, 1082, 1296, 267, 519, 2804, 2853, 540, 1454, 540, 519, 6283, 1062, 538, 519, 8087, 269, 667, 699, 326, 1637, 21044, 1382, 5758, 721, 8087, 2829, 7939, 676, 2229, 568, 1419, 1572, 585, 952, 269, 667, 699, 326, 1637, 568, 519, 5786, 610, 17594, 540, 2229, 1379, 538, 513, 1880, 2872, 267, 2356, 21892, 547, 1711, 811, 6735, 1369, 519, 2872, 563, 763, 1764, 540, 579, 828, 543, 11430, 1111, 1686, 779, 14286, 723, 3254, 721, 602, 585, 3620, 790, 6283, 25361, 609, 519, 632, 28832, 540, 585, 3620, 790, 6283, 269, 19938, 610, 632, 28832, 538, 954, 7116, 531, 6283, 7084, 5528, 2429, 519, 1576, 267, 519, 1641, 540, 7939, 543, 632, 28832, 630, 326, 17922, 269, 6554, 632, 28832, 593, 519, 3454, 328, 2872, 1557, 547, 519, 3454, 328, 2872, 729, 3361, 676, 2229, 632, 28832, 267, 632, 28832, 540, 519, 6283, 563, 21080, 6283, 632, 28832, 910, 737, 574, 828, 569, 530, 2643, 773, 910, 2165, 1957, 910, 4702, 910, 23825, 2029, 910, 15476, 707, 20277, 781, 610, 4487, 781, 5098, 267, 12031, 267, 2165, 269, 901, 1957, 12116, 519, 1909, 540, 2229, 538, 519, 721, 6283, 2872, 713, 1957, 12116, 875, 632, 28832, 814, 4299, 519, 1577, 721, 2328, 596, 513, 269, 22489, 267, 1810, 12245, 642, 543, 795, 28427, 267, 28642, 524, 630, 2735, 278, 1070, 2048, 1492, 1761, 4539, 540, 632, 28832, 540, 6283, 721, 5313, 4123, 10243, 31163, 323, 2229, 269, 22427, 9535, 6283, 538, 28492, 1354, 543, 1310, 632, 28832, 910, 2101, 3466, 795, 24944, 1395, 974, 10098, 630, 639, 610, 30067, 4815, 264, 2887, 896, 5313, 269, 634, 1434, 267, 519, 3983, 267, 543, 519, 30299, 281, 13977, 1296, 540, 721, 29617, 632, 28832, 519, 721, 8257, 540, 6283, 476, 1220, 271, 1070, 519, 721, 2229, 12477, 563, 15761, 2056, 632, 28832, 585, 6283, 2229, 1852, 540, 5777, 543, 3977, 616, 267, 538, 1249, 267, 3833, 3875, 4352, 711, 269, 667, 699, 326, 1637, 540, 6283, 4507, 538, 721, 268, 2278, 6894, 6881, 269, 6554, 7939, 543, 632, 28832, 519, 2278, 5267, 602, 519, 721, 2229, 1058, 581, 519, 18463, 585, 10124, 538, 954, 7116, 531, 6283, 269, 634, 5222, 540, 632, 28832, 543, 519, 721, 2275, 534, 3385, 1863, 4123, 6876, 593, 666, 6598, 6283, 12331, 536, 6929, 1793, 871, 8257, 540, 11585, 267, 6677, 867, 807, 6280, 563, 307, 1314, 328, 2872, 7939, 267, 632, 28832, 267, 6283, 1876, 4760, 267, 3454, 328, 2872, 7939, 267, 632, 28832, 267, 543, 556, 28832, 15545, 12315, 721, 513, 1289, 610, 7662, 513, 1289, 3724, 543, 606, 519, 2229, 2451, 632, 28832, 909, 547, 476, 1704, 519, 1686, 540, 1648, 632, 28832, 538, 519, 8087, 2829, 6300, 269, 2368, 723, 11130, 602, 632, 28832, 814, 8329, 547, 6735, 543, 7939, 538, 519, 29617, 2872, 543, 2111, 892, 676, 519, 8257, 540, 6283, 563, 28158, 29617, 632, 28832, 281, 538, 1804, 851, 1317, 519, 2212, 23867, 7914, 883, 519, 632, 28832, 1184, 676, 519, 721, 2229, 5921, 602, 28863, 1996, 269, 667, 699, 326, 1637, 538, 519, 8087, 2829, 1319, 12847, 521, 615, 2006, 5104, 569, 476, 1220, 280, 2229, 267, 2810, 23930, 543, 11413, 538, 519, 3119, 19736, 2344, 538, 476, 4350, 275, 267, 519, 269, 667, 699, 326, 1637, 543, 3051, 520, 5314, 538, 606, 4346, 17253, 2796, 513, 756, 15300, 533, 11445, 8942, 676, 519, 2229, 547, 12666, 1047, 3486, 19426, 27260, 763, 632, 28832, 957, 5555, 15702, 519, 3540, 513, 1876, 602, 4957, 519, 29617, 2872, 3564, 6284, 607, 3655, 637, 941, 14931, 676, 519, 2229, 269, 901, 9910, 5618, 3947, 606, 7650, 540, 519, 632, 28832, 2907, 632, 28832, 540, 6283, 519, 2150, 8021, 2229, 6054, 8257, 269, 5794, 1467, 632, 28832, 568, 519, 1184, 540, 9427, 2229, 21553, 12723, 7127, 543, 3902, 9993, 593, 2011, 6050, 7133, 267, 538, 1880, 267, 519, 19057, 15868, 547, 4196, 269, 2974, 8257, 540, 6283, 476, 6344, 271, 1007, 28478, 8124, 28627, 267, 694, 11067, 2023, 267, 546, 322, 476, 13078, 3445, 476, 279, 4649, 268, 3607, 279, 268, 22213, 271, 269, 0, 10403, 1557, 281, 2495, 540, 519, 5757, 538, 521, 1342, 9618, 15925, 521, 1342, 9618, 15925, 267, 538, 1200, 2006, 11688, 572, 781, 3209, 267, 521, 1342, 9618, 15925, 267, 568, 513, 1762, 267, 4190, 267, 543, 10995, 2909, 327, 2381, 267, 513, 4759, 540, 269, 901, 1353, 3391, 543, 1102, 4919, 585, 1200, 10458, 11688, 572, 781, 521, 1342, 9618, 15925, 2709, 5758, 543, 2079, 593, 4798, 267, 6698, 267, 543, 824, 5339, 3457, 1336, 538, 519, 1257, 22805, 538, 543, 856, 540, 519, 3197, 262, 4555, 9356, 513, 2101, 6249, 538, 519, 3209, 2186, 7542, 787, 2006, 12374, 21481, 6947, 547, 519, 5757, 3893, 4821, 24084, 2989, 11783, 769, 521, 1342, 9618, 15925, 781, 1391, 585, 21481, 267, 1200, 2006, 11688, 572, 2306, 519, 5757, 519, 3803, 2495, 540, 519, 5757, 538, 521, 1342, 9618, 15925, 521, 1342, 9618, 15925, 267, 538, 1200, 2006, 11688, 572, 781, 3209, 27260, 10403, 1395, 651, 2106, 4925, 2228, 1433, 4967, 5758, 585, 521, 1342, 9618, 15925, 676, 1200, 2006, 11688, 572, 1606, 28248, 1143, 8276, 582, 604, 338, 270, 19960, 2044, 270, 32188, 338, 6954, 1433, 269, 3627, 6159, 576, 7873, 5151, 521, 1342, 9618, 15925, 521, 1342, 9618, 15925, 676, 1200, 10458, 11688, 572, 14646, 6159, 576, 646, 8120, 547, 519, 5757, 1141, 979, 341, 25475, 729, 9361, 538, 519, 2603, 639, 2990, 2943, 1010, 1317, 519, 2495, 540, 1272, 568, 972, 781, 1100, 1747, 899, 9631, 563, 30206, 540, 4798, 543, 18305, 538, 1200, 10458, 11688, 572, 781, 521, 1342, 9618, 15925, 538, 519, 1576, 540, 519, 3209, 267, 521, 1342, 9618, 15925, 2501, 883, 3346, 609, 1896, 1114, 9456, 269, 4208, 1058, 596, 1416, 827, 519, 5757, 538, 1200, 10458, 11688, 572, 781, 521, 1342, 9618, 15925, 649, 723, 547, 16153, 1765, 10472, 1433, 2306, 721, 1616, 547, 979, 1524, 519, 5757, 593, 513, 986, 1111, 519, 5757, 568, 513, 3844, 3090, 538, 521, 1342, 9618, 15925, 267, 8204, 9322, 543, 519, 552, 1181, 640, 540, 782, 1919, 269, 11242, 267, 1310, 513, 2110, 12092, 540, 1200, 2006, 11688, 572, 267, 1775, 3079, 2285, 513, 3126, 540, 2542, 2491, 519, 3090, 540, 519, 5757, 543, 1946, 621, 568, 1271, 547, 519, 3209, 269, 31928, 572, 781, 3209, 666, 581, 1224, 607, 513, 3909, 610, 10952, 14336, 800, 607, 646, 1199, 527, 919, 676, 513, 5757, 267, 521, 1342, 9618, 15925, 1140, 1622, 21481, 4798, 543, 18305, 512, 1132, 17058, 609, 2849, 4471, 267, 676, 544, 3558, 11549, 558, 1629, 1014, 267, 676, 1200, 10458, 11688, 572, 519, 10143, 269, 670, 9007, 11688, 572, 5932, 891, 4296, 538, 1010, 3209, 521, 1342, 9618, 15925, 543, 519, 5757, 602, 646, 543, 521, 1342, 9618, 15925, 2661, 1312, 723, 713, 12572, 2956, 267, 799, 2769, 563, 2005, 568, 513, 14165, 602, 11688, 572, 568, 2693, 547, 723, 3144, 689, 519, 3504, 19967, 519, 5757, 538, 519, 1433, 568, 6998, 721, 547, 1294, 519, 1082, 5933, 540, 938, 2729, 607, 782, 1373, 269, 11374, 616, 1806, 540, 519, 6698, 538, 521, 1342, 9618, 15925, 543, 1018, 521, 1342, 9618, 15925, 22613, 519, 5757, 950, 646, 7475, 1010, 1272, 607, 513, 7663, 3570, 547, 269, 901, 6221, 281, 338, 1342, 9618, 15925, 281, 513, 3209, 676, 1200, 10458, 11688, 572, 2527, 2344, 1957, 3724, 524, 323, 333, 259, 2282, 21817, 267, 521, 1342, 9618, 15925, 2501, 547, 513, 5757, 1141, 646, 30650, 513, 2189, 3280, 563, 306, 1342, 9618, 15925, 281, 14165, 2079, 267, 1863, 1353, 10274, 543, 1433, 4967, 1519, 519, 5757, 676, 3294, 568, 606, 3239, 267, 855, 950, 519, 4514, 2495, 799, 11688, 572, 269, 19555, 2335, 11688, 572, 781, 521, 1342, 9618, 15925, 568, 835, 540, 519, 5931, 5171, 538, 519, 24141, 4359, 2278, 781, 1699, 21200, 1851, 7819, 1053, 267, 713, 3209, 786, 3136, 9322, 6457, 1302, 267, 538, 519, 3090, 540, 519, 5757, 267, 543, 6612, 2299, 267, 538, 519, 269, 590, 1342, 9618, 15925, 568, 513, 3209, 676, 1200, 10458, 11688, 572, 602, 9388, 609, 519, 5289, 3460, 540, 1582, 22523, 646, 13187, 602, 519, 1367, 11394, 606, 11613, 2189, 267, 2123, 2495, 602, 3112, 581, 4843, 547, 1864, 676, 513, 4116, 521, 1342, 9618, 15925, 22613, 513, 5757, 543, 519, 21464, 7542, 787, 2006, 267, 7247, 521, 1342, 9618, 15925, 568, 8572, 547, 2628, 267, 5789, 337, 1176, 563, 763, 5757, 538, 521, 1342, 9618, 15925, 267, 676, 1200, 10458, 11688, 572, 267, 568, 606, 1271, 3090, 11688, 572, 2488, 1082, 8100, 547, 519, 5757, 2429, 1010, 3209, 267, 543, 621, 5713, 1082, 269, 29062, 543, 13513, 538, 521, 1342, 9618, 15925, 910, 519, 13131, 267, 519, 6177, 543, 519, 5757, 2495, 540, 519, 5757, 538, 521, 1342, 9618, 15925, 521, 1342, 9618, 15925, 267, 538, 1200, 2006, 11688, 572, 781, 3209, 11783, 630, 9476, 967, 1329, 689, 15242, 264, 543, 883 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 581, 17866, 267, 609, 19421, 540, 13006, 2458, 22663, 2094, 519, 476, 3192, 271, 779, 563, 2690, 513, 1732, 1620, 540, 4224, 2895, 6617, 267, 513, 2319, 540, 2520, 5505, 3366, 676, 11518, 18703, 693, 519, 2160, 540, 18096, 4941, 547, 1711, 4977, 1614, 8820, 3631, 540, 11599, 30617, 899, 14175, 11312, 15167, 563, 763, 2319, 3893, 741, 1353, 1055, 519, 2666, 676, 2921, 547, 519, 2011, 269, 1358, 941, 2111, 547, 946, 19025, 593, 1978, 1533, 543, 5313, 3338, 607, 513, 1875, 29554, 1259, 547, 3489, 3810, 2143, 3308, 11269, 540, 1082, 30617, 2066, 519, 3148, 563, 1103, 3084, 11614, 899, 24258, 4133, 543, 1488, 2583, 1141, 19025, 616, 17049, 547, 24390, 6846, 5533, 543, 18063, 547, 7320, 267, 519, 2319, 554, 27419, 547, 519, 3490, 540, 1142, 2895, 543, 3576, 11147, 1210, 12514, 15841, 593, 1279, 18635, 563, 10190, 267, 789, 5916, 519, 2143, 476, 274, 5937, 3631, 609, 824, 2825, 1239, 547, 1732, 1174, 519, 5854, 1049, 3601, 540, 891, 3889, 563, 2691, 838, 539, 909, 267, 519, 3631, 1118, 519, 6149, 21272, 2408, 547, 530, 24513, 548, 610, 7544, 269, 1452, 22298, 21513, 616, 25623, 676, 11029, 4282, 5322, 540, 519, 3618, 267, 519, 12451, 4657, 609, 4672, 1543, 543, 8143, 17613, 607, 519, 7725, 3002, 543, 3579, 269, 634, 3631, 616, 1373, 2895, 1882, 547, 2327, 972, 779, 513, 2594, 585, 16968, 640, 1058, 930, 540, 891, 3504, 3889, 12900, 538, 519, 2104, 563, 12812, 1934, 547, 1491, 513, 5691, 4663, 540, 519, 30617, 281, 4179, 2517, 338, 8208, 577, 325, 629, 2593, 270, 3333, 332, 1105, 0, 30051, 781, 17629, 2657, 5516, 7844, 1772, 9406, 585, 3013, 454, 30051, 3091, 513, 1072, 6142, 2203, 602, 267, 899, 4516, 779, 267, 2164, 538, 2484, 1447, 7836, 982, 538, 519, 2136, 2276, 267, 1247, 8236, 8471, 267, 3102, 3795, 269, 634, 3017, 568, 602, 5125, 779, 568, 513, 6687, 9707, 2203, 267, 799, 13976, 811, 6923, 593, 519, 1977, 1072, 6142, 1062, 563, 306, 13521, 10846, 543, 8682, 3766, 4261, 766, 267, 5125, 2919, 519, 1101, 1514, 1072, 6142, 1062, 538, 519, 1158, 563, 4322, 1079, 3741, 723, 7283, 693, 519, 4295, 540, 5125, 781, 6024, 1646, 540, 1072, 1416, 3795, 585, 922, 4961, 936, 519, 2063, 476, 13670, 1296, 563, 16446, 25035, 4031, 616, 2854, 547, 4894, 15963, 689, 1004, 10834, 18633, 2623, 563, 1103, 519, 2136, 2276, 267, 513, 2699, 9206, 1876, 568, 513, 7784, 1852, 1876, 602, 14998, 7128, 610, 1920, 2818, 547, 21936, 513, 1533, 5480, 547, 1931, 519, 10151, 8851, 540, 32205, 689, 513, 1268, 945, 949, 1459, 513, 8594, 547, 1866, 610, 2933, 269, 589, 9794, 2306, 519, 8990, 547, 3390, 519, 1931, 1759, 593, 6898, 543, 3527, 1500, 676, 519, 7784, 8227, 538, 2243, 563, 26876, 753, 616, 2838, 547, 723, 1072, 6142, 267, 855, 789, 666, 3442, 1063, 811, 982, 476, 1911, 4357, 18758, 1202, 20445, 1572, 968, 306, 32169, 8750, 338, 3034, 13480, 619, 543, 12820, 2671, 519, 1942, 540, 6142, 998, 2628, 2651, 9204, 267, 1247, 519, 2229, 18083, 3795, 585, 1453, 543, 519, 32014, 269, 15928, 4566, 616, 711, 13615, 547, 12820, 269, 7896, 616, 14102, 998, 11636, 21259, 267, 865, 1569, 568, 1759, 593, 991, 267, 711, 2702, 547, 2628, 267, 543, 2883, 7418, 616, 1759, 593, 5763, 267, 711, 1072, 269, 19928, 1903, 547, 19210, 7482, 616, 31344, 958, 7535, 539, 543, 1287, 21248, 547, 1367, 1202, 20445, 1210, 513, 829, 1532, 523, 1030, 26547, 4542, 602, 2188, 538, 3604, 538, 1072, 4220, 563, 763, 2136, 2276, 814, 519, 5748, 538, 1747, 585, 7598, 713, 2186, 540, 1062, 563, 21132, 4317, 8232, 543, 24310, 1949, 946, 21259, 547, 2628, 585, 1514, 6142, 4507, 267, 543, 519, 1072, 1416, 15377, 2813, 676, 519, 32285, 5516, 2920, 1683, 2344, 17541, 585, 6142, 4507, 269, 769, 606, 1977, 4528, 540, 713, 1062, 267, 4357, 1202, 20445, 1131, 723, 547, 581, 8185, 14931, 547, 2327, 602, 3795, 729, 10097, 543, 547, 2061, 519, 4990, 540, 4028, 4679, 538, 14167, 338, 267, 20952, 17156, 543, 1942, 6879, 2130, 602, 723, 7018, 936, 519, 2250, 8717, 269, 5381, 547, 6042, 585, 24310, 543, 27083, 267, 1202, 20445, 1131, 581, 2838, 547, 1683, 513, 3102, 1305, 540, 2640, 609, 7182, 593, 3461, 1942, 6879, 2130, 267, 799, 1223, 581, 1797, 2389, 6479, 610, 13615, 547, 824, 7355, 267, 971, 607, 2348, 513, 5312, 2068, 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 ]
[ 2079, 8850, 2165, 7149, 950, 15018, 568, 2347, 543, 519, 3819, 2597, 568, 7123, 267, 610, 1310, 513, 6378, 942, 9138, 676, 519, 11346, 267, 610, 16924, 563, 4263, 519, 1439, 540, 519, 7509, 20604, 782, 4143, 1239, 7282, 3355, 2527, 267, 15895, 2527, 267, 1449, 6724, 543, 2164, 666, 581, 9102, 856, 3842, 606, 19954, 268, 22446, 8818, 563, 2691, 519, 7509, 2555, 10045, 568, 4448, 547, 513, 7193, 519, 1239, 11601, 3301, 2636, 519, 11346, 547, 3132, 513, 3113, 28321, 2164, 1996, 942, 267, 3246, 3407, 1344, 593, 3432, 540, 15018, 543, 21533, 540, 3819, 2597, 6617, 563, 24342, 540, 1367, 4255, 666, 581, 6740, 538, 519, 2780, 3965, 585, 7766, 6476, 269, 2353, 7509, 2555, 345, 619, 6035, 676, 570, 990, 2801, 577, 2743, 717, 10861, 270, 3041, 302, 2594, 5329, 4170, 563, 9616, 602, 7509, 2555, 345, 619, 1590, 581, 973, 531, 2320, 730, 593, 513, 2834, 4493, 543, 1169, 942, 789, 616, 6410, 689, 835, 4087, 547, 1776, 269, 5589, 531, 12299, 5773, 585, 1312, 2597, 543, 2837, 616, 25250, 856, 538, 519, 3593, 8261, 563, 14300, 540, 1141, 7509, 2555, 345, 619, 1265, 946, 543, 875, 789, 7500, 786, 581, 1336, 593, 824, 570, 990, 622, 577, 7509, 2555, 10045, 5816, 9708, 269, 1656, 5225, 1289, 721, 585, 811, 1344, 593, 8939, 543, 5665, 8856, 7509, 2555, 345, 619, 269, 0, 763, 2422, 2986, 1520, 1513, 1656, 4033, 22553, 2986, 681, 3534, 3798, 1746, 1656, 4256, 15783, 1280, 7169, 1125, 29119, 1046, 518, 4886, 454, 7176, 275, 9293, 275, 9664, 454, 9558, 1842, 762, 2609, 630, 15288, 338, 264, 971, 607, 1488, 628, 13681, 1461, 561, 1393, 639, 630, 288, 1663, 264, 9696, 1118, 909, 5111, 476, 736, 260, 540, 519, 1480, 5027, 11646, 269, 634, 7368, 5027, 9696, 941, 2899, 2219, 547, 581, 968, 329, 6064, 892, 585, 5756, 1310, 922, 6602, 538, 519, 476, 3707, 271, 338, 267, 2705, 267, 2487, 1239, 2303, 602, 891, 9696, 2014, 13798, 517, 27327, 543, 10943, 823, 3135, 882, 6327, 269, 11086, 891, 2621, 1689, 519, 1480, 11646, 269, 634, 1098, 1842, 762, 2609, 616, 5156, 547, 723, 24111, 689, 1427, 8527, 4920, 6570, 543, 3586, 10717, 11049, 936, 4720, 630, 298, 574, 476, 1001, 274, 1040, 634, 3119, 7271, 585, 1427, 8527, 4920, 6570, 568, 3361, 676, 20722, 27343, 632, 3133, 1162, 9117, 593, 10717, 630, 4696, 2752, 338, 1040, 5084, 2752, 2746, 2032, 543, 1494, 1890, 786, 5512, 3744, 547, 3950, 1507, 10717, 543, 5444, 13779, 2238, 269, 634, 1427, 8527, 4920, 6570, 540, 10717, 883, 1455, 703, 6425, 4196, 607, 10832, 540, 4609, 540, 2860, 22612, 267, 11144, 267, 543, 9354, 2360, 269, 634, 27614, 538, 519, 5834, 543, 4908, 540, 2504, 1325, 340, 9696, 9594, 5311, 15817, 267, 10451, 1114, 3940, 568, 12002, 267, 3056, 547, 2860, 630, 290, 4319, 338, 476, 1001, 276, 1916, 1607, 5623, 23607, 1699, 4681, 540, 519, 3498, 540, 5084, 2752, 338, 543, 824, 3029, 540, 10717, 11049, 543, 741, 1761, 547, 22499, 24750, 518, 1646, 269, 634, 2104, 540, 10531, 9354, 5061, 543, 13003, 4915, 568, 538, 519, 10717, 31937, 532, 543, 519, 7939, 540, 10717, 11049, 2238, 269, 901, 666, 581, 2944, 998, 15632, 540, 726, 584, 760, 582, 550, 6565, 2281, 630, 529, 4916, 12336, 264, 543, 824, 6565, 1591, 3156, 630, 26876, 1481, 345, 476, 1001, 275, 1040, 6987, 2400, 1382, 538, 5084, 2752, 338, 0, 10376, 7574, 6293, 568, 1114, 267, 855, 972, 616, 1082, 10486, 1063, 1082, 540, 873, 269, 634, 14440, 543, 519, 13176, 616, 1312, 5569, 539, 7405, 602, 2154, 9015, 543, 4480, 547, 4487, 269, 1358, 849, 991, 513, 2603, 540, 2259, 563, 763, 13176, 543, 14440, 2671, 513, 2147, 2298, 538, 602, 789, 616, 1312, 6985, 1738, 543, 666, 3914, 1169, 4063, 593, 519, 6985, 1738, 4336, 269, 634, 16726, 2306, 621, 2653, 585, 4896, 945, 6499, 547, 6467, 1063, 519, 1079, 7405, 547, 798, 609, 8897, 269, 4804, 2901, 666, 581, 1360, 2653, 269, 1717, 267, 519, 10752, 666, 1152, 4019, 952, 596, 6467, 1063, 519, 14440, 543, 519, 13176, 563, 763, 13176, 568, 513, 5569, 539, 11308, 6293, 602, 3096, 513, 4584, 547, 1404, 519, 12673, 563, 763, 3350, 568, 1634, 607, 1193, 636, 2719, 269, 1677, 6707, 1193, 636, 707, 13176, 267, 596, 786, 991, 547, 1832, 707, 23969, 856, 540, 519, 1259, 543, 6251, 547, 519, 3490, 540, 707, 13176, 269, 23560, 602, 2636, 707, 1688, 547, 1847, 11884, 1510, 17527, 1022, 540, 519, 12673, 563, 763, 14440, 568, 849, 513, 11308, 6293, 609, 12673, 5734, 676, 513, 17200, 3330, 519, 14440, 1169, 942, 596, 2046, 513, 1883, 269, 1703, 616, 10199, 476, 15996, 12673, 538, 513, 14440, 267, 855, 713, 1297, 1223, 1689, 4470, 593, 519, 1826, 540, 14440, 269, 3962, 1883, 12673, 1614, 12673, 267, 543, 585, 3490, 4967, 267, 1079, 12673, 616, 1193, 2426, 693, 513, 942, 267, 16715, 519, 5569, 2179, 607, 519, 18369, 12772, 269, 1411, 1223, 3533, 2995, 519, 3017, 689, 519, 2596, 20005, 1524, 547, 519, 1655, 4816, 6264, 14440, 563, 303, 1014, 657, 946, 13737, 1883, 7158, 585, 1169, 1883, 543, 786, 711, 723, 519, 1482, 3280, 4947, 689, 1079, 1114, 10569, 8195, 269, 634, 4967, 616, 711, 16625, 543, 666, 1152, 581, 1336, 538, 835, 1747, 269, 3962, 16147, 267, 4063, 267, 610, 4336, 568, 538, 922, 1747, 585, 602, 1880, 3280, 269, 1677, 1711, 513, 18900, 3280, 267, 596, 1131, 723, 547, 2824, 513, 1906, 10569, 8195, 563, 294, 3726, 1513, 616, 519, 6587, 581, 0, 301, 984, 1328, 15055, 3983, 3377, 269, 769, 1249, 267, 835, 1455, 5114, 547, 3478, 3983, 3377, 568, 24677, 563, 3719, 621, 779, 1932, 3735, 547, 20912, 2916, 1689, 269, 1403, 649, 1616, 547, 3136, 2713, 267, 602, 568, 563, 20458, 1689, 5540, 721, 538, 811, 2081, 982, 649, 8275, 563, 2690, 1383, 267, 519, 4414, 9061, 1767, 2916, 543, 4365, 5829, 12469, 3361, 811, 982, 476, 1789, 2929, 547, 25176, 741, 5321, 538, 476, 1708, 271, 2443, 1614, 2053, 811, 982, 519, 1297, 19774, 676, 2112, 563, 4322, 3769, 2477, 971, 607, 12925, 267, 29874, 543, 20787, 3711, 1664, 267, 855, 849, 3638, 6082, 971, 607, 5125, 267, 799, 713, 1032, 4718, 14042, 17160, 538, 519, 7178, 563, 2171, 10093, 1406, 2944, 513, 1434, 2614, 2816, 3478, 1141, 649, 991, 547, 581, 563, 288, 1867, 689, 519, 2916, 1589, 7382, 2142, 345, 657, 3047, 8750, 1336, 1689, 538, 2872, 543, 6683, 5749, 1406, 4947, 3728, 2614, 547, 3500, 2916, 1689, 563, 10454, 3983, 3377, 568, 1318, 1631, 602, 9039, 540, 873, 616, 593, 3950, 2223, 1767, 1867, 1071, 27236, 23765, 2274, 9109, 267, 519, 8783, 540, 3163, 267, 4578, 543, 7010, 7827, 693, 519, 1589, 7382, 269, 968, 763, 6505, 9634, 616, 1906, 543, 2484, 1063, 267, 547, 581, 9237, 267, 543, 585, 519, 1804, 5354, 540, 519, 10832, 267, 1256, 950, 649, 2461, 7487, 1689, 18188, 538, 519, 1318, 4287, 267, 835, 1131, 991, 547, 17108, 602, 10605, 540, 1689, 267, 543, 676, 513, 3815, 267, 1419, 2053, 267, 540, 811, 982, 5595, 3034, 308, 2529, 269, 8693, 2037, 341, 1195, 3627, 23715, 787, 1767, 713, 3018, 519, 1158, 568, 2673, 547, 7680, 834, 22563, 770, 908, 4539, 257, 540, 2518, 8337, 563, 2108, 28319, 770, 908, 4539, 1246, 952, 649, 9765, 519, 476, 272, 269, 276, 5232, 2223, 646, 1767, 538, 513, 4633, 13628, 693, 519, 5507, 3427, 540, 13188, 269, 968, 4517, 649, 616, 1631, 2907, 1175, 827, 693, 476, 272, 269, 273, 595, 563, 2108, 5591, 835, 568, 21179, 908, 950, 789, 1289, 713, 606, 16650, 3463, 269, 3807, 2307, 519, 1004, 538, 519, 21244, 11866, 267, 674, 25702, 610, 538, 519, 7925, 6082, 540, 519, 1158, 4799, 24618, 779, 3328, 2837, 814, 24111, 811, 982, 476, 272, 269, 279, 5232, 2094, 519, 476, 6642, 271, 338, 267, 19430, 676, 8511, 3154, 5434, 4098, 1472, 519, 942, 540, 519, 11633, 7169, 267, 2687, 547, 519, 7027, 593, 14579, 9534, 269, 12207, 2161, 713, 2362, 1377, 540, 3002, 814, 8329, 547, 29083, 4365, 26037, 267, 1519, 28555, 543, 3476, 3002, 6329, 543, 6905, 26221, 563, 763, 11848, 568, 8337, 693, 2547, 7466, 607, 3728, 607, 519, 1964, 540, 519, 4541, 269, 2859, 982, 835, 1922, 604, 628, 540, 519, 2518, 2551, 1631, 2729, 538, 4525, 602, 723, 2907, 4810, 8337, 3152, 982, 476, 273, 269, 278, 5232, 267, 606, 2333, 602, 3592, 782, 6082, 723, 8815, 1058, 581, 14284, 547, 3648, 2569, 519, 1981, 540, 2800, 689, 2916, 1689, 563, 2467, 568, 11566, 2963, 602, 2916, 1689, 568, 1483, 267, 602, 621, 779, 8345, 693, 606, 796, 11499, 2557, 267, 602, 519, 10231, 568, 3361, 676, 1480, 2623, 543, 602, 649, 1522, 2943, 581, 2111, 547, 2744, 1852, 540, 621, 563, 298, 518, 787, 568, 11504, 513, 2916, 1689, 21895, 538, 29161, 267, 799, 3323, 10732, 269, 1261, 1767, 646, 779, 23904, 602, 267, 5103, 519, 23473, 540, 519, 3510, 267, 621, 779, 711, 1932, 3735, 547, 1832, 519, 4541, 3110, 3386, 269, 1284, 2461, 15691, 646, 779, 1318, 269, 0, 18698, 6402, 1063, 4008, 267, 2804, 16882, 543, 5208, 1996, 2021, 538, 12925, 454, 279, 27977, 281, 20821, 5216, 2367, 543, 2021, 689, 15787, 267, 27060, 543, 16273, 543, 1451, 827, 741, 15322, 607, 15076, 543, 20404, 538, 5607, 607, 789, 2995, 741, 1378, 2984, 538, 891, 5216, 27977, 563, 288, 476, 1789, 16512, 7104, 8255, 513, 1007, 855, 30987, 6300, 538, 11676, 330, 7431, 267, 3162, 20528, 269, 901, 1489, 519, 17612, 540, 3885, 543, 7925, 10820, 454, 11403, 290, 779, 4826, 267, 5842, 2787, 543, 30719, 630, 310, 23808, 264, 15961, 538, 27060, 779, 681, 12112, 710, 3557, 3077, 13122, 585, 24323, 19774, 1004, 547, 948, 2569, 2068, 6771, 543, 1628, 6043, 547, 11883, 609, 1072, 4220, 563, 312, 18779, 568, 519, 1158, 781, 4102, 19493, 6433, 609, 476, 736, 269, 278, 2929, 1004, 538, 991, 540, 5351, 543, 476, 275, 2929, 1004, 19774, 269, 1548, 596, 991, 547, 917, 827, 519, 29874, 6433, 563, 763, 16899, 540, 898, 19441, 543, 3345, 918, 643, 340, 267, 19010, 22096, 267, 723, 2938, 513, 10565, 2333, 538, 11439, 5208, 1996, 21127, 936, 519, 2250, 476, 1240, 3275, 269, 15332, 1373, 513, 3463, 547, 2168, 3106, 267, 519, 4527, 540, 11439, 2516, 849, 13054, 513, 4049, 3463, 547, 519, 2790, 1072, 267, 24454, 267, 1426, 3354, 267, 543, 2069, 540, 1004, 540, 6161, 1107, 782, 609, 1279, 3856, 4539, 563, 5415, 982, 476, 279, 2568, 267, 1822, 30323, 532, 5984, 15076, 689, 27060, 723, 12306, 2066, 519, 8473, 538, 1018, 568, 4122, 1634, 607, 2048, 1492, 1158, 779, 4102, 21345, 3786, 685, 538, 519, 30532, 781, 645, 1794, 541, 8664, 538, 16273, 269, 1358, 2661, 538, 29822, 20651, 13122, 267, 4867, 6849, 519, 17784, 3463, 540, 11642, 267, 1395, 810, 976, 267, 543, 5046, 268, 866, 1107, 609, 2370, 19175, 540, 13059, 1753, 269, 901, 568, 1018, 596, 991, 547, 917, 827, 519, 30323, 532, 5984, 21345, 6433, 563, 763, 2518, 5046, 268, 866, 6855, 568, 513, 19493, 267, 2804, 267, 543, 1514, 6433, 593, 513, 5176, 13778, 4336, 269, 4706, 5222, 723, 10969, 730, 2950, 2429, 519, 1158, 267, 855, 19774, 1004, 723, 1044, 19018, 958, 4299, 269, 4595, 519, 12176, 540, 519, 6433, 267, 667, 13612, 814, 1044, 2324, 547, 2697, 543, 2232, 519, 1808, 2591, 5185, 676, 15076, 543, 19774, 1004, 563, 763, 16850, 6433, 568, 519, 1158, 781, 4102, 12761, 6433, 269, 2859, 982, 3368, 540, 519, 2551, 723, 1044, 7142, 547, 25176, 741, 5321, 267, 543, 1454, 540, 519, 2197, 568, 538, 21219, 269, 1548, 596, 991, 547, 917, 827, 519, 16850, 6433, 563, 2691, 2112, 543, 4655, 4229, 3885, 883, 513, 1272, 540, 12761, 267, 6690, 543, 2021, 616, 519, 1034, 7925, 269, 3502, 1317, 2021, 616, 11214, 8572, 547, 7639, 610, 4383, 2933, 267, 855, 1317, 789, 267, 607, 2021, 267, 616, 693, 3152, 1981, 540, 1373, 26884, 543, 27226, 540, 741, 2924, 269, 0, 322, 269, 476, 9610, 271, 267, 834, 1729, 6632, 267, 5848, 523, 2437, 689, 6196, 3943, 4779, 650, 1512, 834, 1729, 6632, 267, 5848, 523, 257, 630, 1321, 322, 1421, 7073, 3943, 544, 537, 14525, 1070, 689, 23977, 3258, 5824, 2608, 28485, 2993, 732, 267, 689, 5824, 30114, 529, 834, 7809, 2437, 689, 623, 23966, 3597, 2608, 17745, 268, 630, 272, 264, 834, 7809, 1701, 23281, 540, 834, 20142 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 337, 30354, 27446, 554, 534, 30019, 275, 3123, 513, 32280, 540, 782, 5722, 18993, 19830, 2033, 11890, 630, 20812, 684, 1696, 620, 1421, 476, 1220, 276, 1040, 9747, 267, 621, 568, 12691, 602, 519, 4573, 730, 3940, 786, 2199, 1125, 693, 519, 1591, 2627, 269, 554, 534, 30019, 275, 4573, 1218, 1397, 513, 8965, 26737, 6697, 547, 21584, 14275, 13733, 281, 9000, 540, 6640, 24736, 267, 606, 4434, 540, 519, 10543, 8445, 538, 31298, 543, 2855, 15219, 6193, 2623, 538, 30250, 269, 1717, 267, 519, 30354, 27446, 554, 534, 28656, 280, 267, 799, 5012, 547, 513, 9864, 32280, 540, 519, 595, 12363, 6389, 5732, 7133, 519, 595, 543, 667, 568, 334, 13257, 1152, 267, 15387, 922, 6640, 24736, 267, 1247, 4929, 2855, 15219, 6193, 640, 538, 30250, 630, 20812, 684, 1696, 620, 1421, 476, 1220, 276, 282, 1955, 543, 22105, 615, 339, 267, 476, 1001, 271, 1040, 901, 5267, 602, 7300, 949, 1114, 6053, 1860, 11409, 4470, 593, 519, 1808, 21584, 337, 568, 334, 13257, 789, 2769, 269, 1717, 267, 519, 10911, 312, 266, 642, 10908, 583, 266, 667, 301, 272, 335, 616, 6190, 547, 5397, 6640, 24736, 538, 3044, 31298, 630, 30942, 614, 329, 2465, 1696, 620, 1421, 476, 1001, 279, 264, 543, 7300, 305, 5336, 312, 290, 267, 513, 4020, 5132, 2685, 8989, 7300, 305, 4082, 267, 568, 14311, 6829, 538, 519, 10911, 312, 266, 667, 301, 272, 335, 630, 3412, 543, 22105, 615, 339, 267, 476, 1001, 271, 1040, 4475, 267, 649, 15974, 602, 7300, 8992, 519, 2534, 540, 519, 10911, 312, 266, 6640, 667, 301, 272, 335, 11409, 267, 799, 538, 2490, 21391, 519, 2534, 540, 519, 10543, 667, 301, 272, 335, 563, 305, 1961, 540, 667, 301, 272, 335, 538, 18323, 9980, 1778, 618, 454, 763, 2634, 9219, 666, 581, 1303, 11712, 676, 1769, 543, 2837, 630, 12640, 601, 518, 1696, 620, 1421, 476, 1960, 274, 1040, 2755, 827, 3368, 540, 519, 9219, 11409, 538, 519, 2634, 20475, 3956, 543, 4061, 666, 581, 1303, 11712, 676, 1769, 538, 519, 9000, 540, 513, 6198, 3308, 1062, 630, 28770, 344, 1696, 620, 1421, 476, 1220, 271, 1070, 789, 3112, 581, 1303, 11712, 676, 2837, 538, 519, 9000, 540, 519, 13020, 344, 267, 543, 811, 4481, 267, 519, 16147, 582, 4689, 8219, 543, 18211, 2801, 630, 5353, 17495, 13960, 1696, 620, 1421, 476, 1220, 280, 282, 962, 611, 331, 777, 718, 328, 1696, 620, 1421, 476, 1001, 279, 1040, 769, 1100, 551, 324, 4573, 1218, 267, 519, 16147, 582, 4689, 8219, 616, 1785, 12147, 26843, 267, 543, 13733, 798, 711, 5265, 1303, 1778, 547, 570, 290, 267, 1247, 15222, 1436, 547, 1769, 568, 3339, 630, 10908, 6471, 543, 12254, 1168, 20391, 267, 476, 1220, 276, 282, 1530, 17495, 13960, 1696, 620, 1421, 476, 1220, 280, 282, 16441, 1696, 620, 1421, 476, 1001, 279, 1040, 8187, 15178, 13733, 666, 581, 1303, 11712, 547, 570, 290, 1256, 609, 513, 1507, 2837, 8390, 540, 1152, 476, 273, 9180, 630, 290, 1156, 1696, 620, 1421, 476, 1001, 276, 282, 962, 9655, 4512, 1696, 620, 1421, 476, 1220, 276, 1040, 634, 667, 4592, 32166, 9357, 32430, 13805, 16843, 1839, 320, 568, 4481, 2838, 585, 15222, 1436, 547, 971, 1970, 268, 600, 680, 3363, 570, 290, 630, 273, 9180, 264, 538, 26993, 610, 30250, 630, 290, 1156, 1696, 620, 1421, 476, 1001, 276, 1040, 4595, 16843, 1839, 320, 4573, 1218, 798, 711, 1860, 1164, 268, 600, 680, 3363, 2837, 1303, 1778, 618, 267, 649, 666, 4061, 15974, 602, 15222, 1436, 547, 1970, 268, 543, 1164, 268, 600, 680, 3363, 570, 290, 3096, 1114, 7636, 543, 5732, 27090, 5687, 334, 2275, 1844, 7057, 269, 21452, 267, 29376, 14251, 725, 4431, 8335, 547, 519, 9000, 540, 713, 9357, 32430, 13805, 4470, 593, 519, 1769, 2783, 269, 769, 1970, 17931, 26993, 12839, 267, 29376, 19589, 1063, 2098, 307, 1626, 543, 2098, 307, 1240, 538, 782, 3552, 15178, 9219, 11409, 9916, 538, 713, 1353, 269, 769, 16843, 1839, 320, 4573, 1218, 267, 2705, 267, 29376, 568, 7683, 1970, 538, 519, 667, 301, 272, 335, 543, 667, 301, 273, 543, 922, 14251, 725, 616, 9244, 22841, 538, 519, 7300, 11409, 267, 855, 616, 711, 267, 610, 1152, 4617, 569, 4299, 538, 519, 700, 301, 323, 543, 667, 301, 274, 630, 290, 1156, 1696, 620, 1421, 476, 1001, 276, 1070, 11021, 606, 16843, 1839, 320, 4830, 7271, 585, 741, 1303, 1778, 618, 547, 1970, 17931, 570, 290, 538, 26993, 269, 769, 519, 1482, 1970, 17931, 570, 290, 1282, 30250, 267, 29376, 19589, 693, 1114, 11775, 538, 519, 9219, 11409, 281, 2311, 2098, 307, 1626, 538, 519, 700, 301, 267, 693, 2098, 307, 1015, 538, 519, 667, 301, 273, 267, 543, 1063, 2098, 307, 1015, 543, 2098, 307, 1626, 538, 519, 667, 301, 272, 335, 543, 667, 301, 274, 269, 769, 16843, 1839, 320, 4573, 1218, 267, 29376, 568, 693, 7587, 583, 1947, 1970, 2157, 538, 519, 700, 301, 267, 855, 14251, 725, 2611, 24240, 538, 519, 667, 301, 273, 267, 667, 301, 274, 543, 538, 519, 667, 301, 272, 335, 267, 4352, 519, 17931, 568, 14927, 2989, 543, 519, 8445, 7522, 539, 269, 634, 30250, 12839, 3510, 568, 2352, 547, 4612, 1317, 835, 1223, 1589, 602, 952, 9219, 11409, 1831, 1202, 17567, 547, 2837, 1303, 1778, 618, 789, 1058, 2226, 741, 14251, 725, 543, 1863, 2196, 269, 9747, 267, 649, 798, 711, 1174, 1946, 29376, 2157, 616, 1970, 543, 6366, 538, 519, 700, 301, 323, 543, 521, 299, 301, 341, 269, 16480, 267, 538, 1970, 268, 600, 680, 3363, 26993, 12839, 267, 519, 1198, 540, 16843, 1839, 320, 593, 29376, 4082, 538, 519, 667, 301, 272, 335, 543, 667, 301, 273, 568, 1360, 2312, 269, 5015, 267, 950, 667, 301, 272, 335, 610, 667, 301, 273, 27090, 2534, 568, 7409, 1243, 1210, 15067, 29104, 25560, 267, 13733, 3111, 547, 15222, 1125, 547, 513, 1970, 17931, 570, 290, 538, 26993, 630, 290, 1156, 1696, 620, 1421, 476, 1001, 276, 1070, 849, 5885, 513, 1909, 585, 519, 667, 301, 272, 335, 630, 663, 667, 301, 273, 264, 538, 891, 2175, 563, 1103, 519, 3552, 267, 519, 3232, 8390, 540, 2837, 5205, 519, 3141, 269, 9747, 267, 547, 1449, 2436, 649, 666, 10646, 513, 1769, 14251, 1807, 689, 513, 2837, 835, 267, 899, 538, 2371, 630, 28061, 1696, 620, 1421, 476, 1220, 274, 1070, 649, 991, 547, 4608, 537, 921, 1769, 543, 570, 290, 269, 4635, 606, 2825, 4608, 537, 7204, 7014, 267, 1141, 31298, 543, 570, 290, 941, 15558, 676, 476, 277, 554, 267, 29376, 4082, 538, 519, 14694, 11409, 4553, 519, 31298, 12512, 267, 1247, 519, 24725, 11409, 941, 4776, 5166, 6053, 1303, 11712, 676, 2837, 630, 300, 12011, 553, 752, 334, 1696, 620, 1421, 476, 1220, 278, 1040, 13536, 267, 7311, 513, 7014, 609, 4010, 6587, 31298, 543, 570, 290, 267, 1152, 519, 10911, 312, 1700, 667, 301, 272, 335, 267, 667, 301, 273, 267, 543, 667, 301, 274, 4553, 519, 570, 290, 630, 312, 9655, 4512, 1696, 620, 1421, 476, 1001, 271, 1040, 4635, 513, 1114, 10444, 4655, 7014, 543, 25783, 6375, 739, 8724, 630, 6518, 568, 1447, 6213, 547, 1769, 11378, 1070, 22489, 1696, 620, 269, 630, 1001, 277, 264, 4767, 602, 1152, 519, 667, 301, 273, 543, 667, 301, 274, 1246, 519, 570, 290, 269, 1717, 267, 538, 519, 9000, 540, 3956, 267, 25783, 14251, 725, 538, 782, 9219, 11409, 9916, 4553, 519, 570, 290, 267, 14669, 547, 1018, 729, 4767, 1282, 6587, 31298, 543, 570, 290, 267, 1141, 519, 700, 301, 5336, 302, 9738, 922, 5123, 538, 13076, 609, 519, 31298, 4783, 630, 312, 9655, 4512, 1696, 620, 1421, 476, 1001, 271, 1040, 16480, 267, 621, 568, 11495, 547, 7747, 602, 538, 3956, 271, 13733, 267, 25783, 14251, 919, 609, 519, 5207, 17931, 538, 667, 301, 272, 335, 543, 667, 301, 273, 267, 2436, 1769, 543, 2837, 14251, 725, 616, 538, 5123, 610, 711, 630, 19604, 704, 1696, 620, 1421, 476, 1001, 277, 1916, 763, 13138, 5183, 8756, 7510, 516, 19333, 630, 6853, 343, 264, 568, 4481, 2838, 585, 15222, 1436, 547, 4411, 570, 290, 630, 736, 1700, 1626, 9180, 264, 630, 310, 6504, 32184, 1696, 620, 1421, 476, 1001, 274, 1040, 2755, 16843, 1839, 320, 568, 6829, 538, 519, 16147, 582, 4689, 11409, 630, 290, 1156, 1696, 620, 1421, 476, 1001, 276, 1070, 7510, 343, 568, 6829, 538, 519, 1698, 2281, 540, 519, 16147, 582, 4689, 8219, 607, 1134, 607, 538, 519, 15672, 8401, 1062, 630, 303, 10064, 264, 630, 310, 6504, 32184, 1696, 620, 1421, 476, 1001, 274, 282, 10162, 31757, 327, 1696, 620, 1421, 476, 1001, 280, 1040, 7510, 343, 274, 4573, 1218, 798, 711, 5265, 15222, 1125, 547, 4411, 570, 290, 538, 30250, 543, 1863, 2196, 3079, 630, 305, 334, 31757, 327, 1696, 620, 1421, 476, 1001, 280, 1040, 21452, 267, 1247, 25783, 14251, 725, 538, 519, 521, 299, 301, 341, 540, 7510, 343, 274, 4573, 1218, 3100, 547, 1863, 2196, 1282, 519, 17146, 570, 290, 267, 789, 616, 14927, 2989, 538, 519, 667, 301, 272, 335, 563, 7212, 7510, 343, 543, 16843, 1839, 320, 616, 1312, 6829, 538, 16147, 582, 4689, 8219, 267, 789, 1404, 513, 1909, 538, 1808, 570, 290, 2175, 267, 543, 8335, 1860, 2837, 15222, 1436, 540, 1585, 9219, 11409, 269, 932, 867, 582, 4689, 8219, 616, 1459, 782, 936, 519, 667, 4592, 32166, 1560, 269, 1717, 267, 621, 568, 15458, 875, 519, 2837, 1344, 568, 11843, 689, 519, 16147, 582, 4689, 8219, 547, 519, 9219, 11409, 269, 634, 1769, 2175, 616, 849, 606, 1271, 3815, 1317, 519, 667, 301, 272, 335, 616, 1114, 6053, 4299, 676, 519, 9000, 540, 16843, 1839, 320, 538, 4527, 610, 9000, 540, 1769, 563, 1103, 5758, 267, 519, 667, 301, 272, 335, 616, 6213, 547, 2837, 1303, 1778, 618, 950, 789, 798, 711, 4309, 14251, 908, 1769, 11378, 269, 4256, 7636, 15222, 1436, 568, 9244, 4299, 950, 16147, 582, 4689, 1599, 610, 2497, 616, 22841, 630, 290, 1156, 1696, 620, 1421, 476, 1001, 276, 267, 476, 1001, 279, 282, 10162, 31757, 327, 1696, 620, 1421, 476, 1001, 280, 1040, 769, 1970, 17931, 570, 290, 267, 741, 27090, 2534, 568, 2838, 585, 8965, 1303, 1778, 618, 269, 1717, 267, 827, 3368, 540, 873, 2769, 3956, 543, 538, 513, 2837, 2000, 697, 4655, 17565, 267, 789, 616, 15222, 1242, 609, 519, 1769, 630, 19604, 704, 1696, 620, 1421, 476, 1001, 277, 1916, 305, 1961, 540, 519, 667, 301, 272, 335, 538, 18323, 5937, 8817, 12619, 19938, 454, 28036, 568, 513, 4909, 12214, 1184, 14931, 676, 1312, 1753, 739, 1738, 543, 27266, 6127, 269, 12619, 991, 7213, 12885, 1282, 12687, 6888, 543, 568, 5950, 1282, 3207, 269, 769, 30250, 267, 519, 9219, 11775, 3207, 630, 4537, 1177, 1696, 620, 1421, 476, 1220, 271, 1040, 1717, 267, 513, 27248, 10856, 666, 6467, 547, 1019, 1248, 1275, 950, 922, 1604, 2242, 630, 25988, 1569, 543, 2837, 264, 11021, 602, 519, 1604, 267, 4830, 540, 922, 1303, 1778, 618, 1599, 267, 666, 5123, 3207, 630, 7079, 3541, 15550, 928, 1696, 620, 1421, 476, 1001, 275, 1916, 5472, 2831, 609, 513, 1950, 3844, 8401, 1062, 3207, 267, 1498, 519, 3207, 4806, 15320, 1063, 2249, 630, 290, 790, 25651, 543, 29139, 18223, 267, 476, 1220, 279, 1040, 667, 269, 14264, 690, 2120, 568, 2808, 1212, 16476, 4788, 585, 12225, 334, 27563, 855, 1019, 19012, 585, 3207, 27563, 269, 769, 3044, 31298, 2175, 267, 13733, 616, 6140, 3742, 1472, 1769, 13289, 267, 7713, 519, 1212, 16476, 4788, 8760, 269, 769, 1063, 267, 789, 1397, 3207, 6438, 5615, 267, 543, 1317, 3781, 3207, 16569, 3476, 982, 1554, 3207, 630, 10193, 1572, 521, 625, 3279, 1070, 789, 723, 1044, 9286, 607, 1019, 19012, 269, 898, 568, 2221, 2312, 602, 1554, 543, 3781, 3207, 616, 8335, 14931, 538, 13733, 630, 296, 3333, 574, 9369, 1696, 620, 1421, 476, 1001, 273, 264, 543, 540, 1114, 2298, 630, 309, 534, 1325, 335, 1156, 1696, 620, 1421, 476, 1001, 274, 1040, 9182, 267, 521, 625, 3279, 543, 3781, 3207, 1522, 946, 1114, 27090, 11387, 563, 1103, 3044, 31298, 2175, 267, 4573, 1218, 585, 519, 26733, 667, 295, 4029, 3207, 5594, 811, 982, 8060, 630, 298, 684, 560, 1696, 620, 1421, 476, 1001, 275, 1040, 23883, 1282, 519, 6640, 24736, 1974, 693, 519, 1439, 540, 519, 3781, 267, 13733, 616, 3207, 1512, 538, 519, 9000, 540, 667, 295, 4029, 630, 298, 684, 560, 1696, 620, 1421, 476, 1001, 275, 1040, 21452, 267, 930, 540, 519, 667 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 306, 293, 2975, 1040, 634, 24700, 22473, 1185, 1044, 5258, 936, 1489, 585, 3943, 7589, 538, 2622, 2782, 594, 543, 936, 2436, 547, 6443, 519, 19797, 4139, 630, 4467, 514, 1181, 1040, 634, 1007, 24700, 2975, 3989, 3294, 607, 12316, 543, 11180, 3844, 626, 269, 23160, 990, 545, 14114, 24249, 674, 1484, 731, 729, 922, 1101, 23122, 24932, 1968, 267, 543, 14208, 15616, 3687, 327, 729, 849, 1851, 519, 27428, 269, 674, 1484, 731, 5128, 759, 11220, 538, 476, 4572, 274, 267, 543, 519, 476, 4572, 271, 338, 4718, 513, 1297, 540, 10943, 1080, 1369, 519, 5428, 936, 1894, 609, 824, 2451, 26310, 6105, 543, 936, 15984, 547, 519, 19797, 4139, 781, 9598, 919, 269, 634, 5428, 6591, 6041, 538, 519, 3943, 14618, 538, 20422, 12836, 267, 855, 849, 15469, 10880, 2962, 543, 10353, 19525, 269, 24839, 590, 2946, 332, 731, 267, 6205, 689, 476, 4572, 275, 547, 476, 4572, 279, 267, 8179, 5428, 9322, 543, 24816, 609, 824, 6105, 282, 855, 3401, 1519, 24381, 823, 774, 648, 345, 13684, 513, 23237, 626, 1899, 689, 519, 3735, 476, 4572, 271, 338, 267, 3056, 547, 2530, 540, 15376, 998, 10943, 1080, 543, 1163, 6160, 687, 267, 543, 4389, 21146, 1967, 269, 2060, 519, 4473, 540, 26812, 1143, 713, 3609, 17146, 1310, 476, 4350, 275, 267, 543, 519, 7193, 293, 6462, 519, 15019, 13571, 267, 799, 3357, 547, 1379, 896, 700, 2946, 517, 2349, 636, 538, 476, 4350, 277, 269, 634, 5428, 5280, 547, 5150, 3943, 1489, 585, 519, 5053, 25743, 1282, 519, 5053, 6406, 2782, 267, 543, 10353, 519, 476, 4350, 279, 22540, 6876, 609, 13609, 269, 4438, 713, 1974, 519, 7193, 293, 7550, 513, 811, 13348, 5328, 3239, 267, 543, 7957, 10696, 606, 3160, 855, 3982, 1909, 585, 2021, 538, 519, 21340, 3350, 269, 0, 303, 5142, 857, 534, 267, 5824, 538, 2407, 2398, 529, 857, 29104, 6970, 525, 926, 18424, 267, 630, 4148, 712, 1639, 524, 269, 476, 4335, 2781, 267, 6970, 525, 19327, 267, 8575, 675, 11927, 807, 1496, 852, 22216, 23025, 267, 27988, 807, 25818, 519, 1655, 1634, 540, 782, 519, 5824, 6121, 332, 12579, 267, 2278, 540, 519, 26323, 525, 6121, 15122, 2801, 267, 799, 1185, 513, 7096, 3310, 593, 519, 3450, 540, 5824, 543, 8197, 540, 8239, 3622, 538, 2342, 563, 15987, 4535, 538, 8575, 675, 11927, 807, 267, 2398, 529, 857, 534, 6026, 538, 31862, 630, 852, 594, 30955, 267, 11894, 1040, 3571, 5634, 1568, 1331, 1546, 9930, 710, 267, 5731, 558, 710, 1696, 2357, 2692, 12462, 4002, 715, 1735, 267, 25460, 1735, 267, 543, 32040, 25257, 585, 519, 3450, 540, 8239, 538, 3506, 282, 513, 1521, 1047, 593, 12035, 543, 3800, 282, 513, 1521, 1047, 593, 519, 15432, 540, 570, 2397, 282, 16217, 324, 1410, 2075, 527, 600, 2088, 267, 606, 9542, 585, 5824, 3988, 540, 930, 5259, 17720, 5751, 282, 513, 3443, 1122, 344, 878, 538, 14235, 593, 519, 17169, 1323, 770, 553, 3780, 594, 282, 543, 513, 14235, 8144, 540, 667, 542, 903, 3780, 779, 3131, 773, 2471, 529, 269, 2398, 529, 857, 534, 779, 26323, 525, 6121, 15122, 2801, 12462, 294, 1090, 3901, 673, 25043, 14615, 568, 606, 476, 1240, 31891, 1163, 3789, 540, 5824, 8239, 269, 1306, 2484, 607, 2009, 2398, 529, 857, 534, 3576, 607, 1010, 10274, 519, 1568, 540, 7442, 3326, 517, 3780, 21619, 3712, 639, 593, 5259, 8239, 543, 4469, 822, 3780, 595, 1653, 593, 5824, 8239, 269, 1261, 16668, 3879, 13577, 14327, 689, 1082, 5824, 4589, 543, 538, 713, 1259, 729, 2111, 547, 8190, 3875, 15998, 602, 1131, 6382, 723, 1044, 4503, 563, 303, 5142, 857, 534, 779, 960, 729, 14916, 20926, 538, 519, 476, 278, 628, 267, 476, 279, 628, 267, 543, 476, 280, 628, 5553, 269, 30272, 621, 2968, 519, 3044, 960, 585, 519, 3450, 540, 8239, 538, 519, 10120, 3506, 282, 543, 621, 3177, 519, 4282, 585, 519, 4473, 540, 23019, 8239, 630, 1492, 7954, 540, 1893, 264, 538, 519, 476, 1724, 628, 543, 476, 1691, 628, 5553, 269, 1703, 616, 827, 476, 272, 267, 1822, 12377, 12215, 31607, 269, 2986, 891, 267, 519, 3152, 851, 2270, 1152, 2835, 1775, 1700, 343, 12858, 630, 21406, 2398, 529, 857, 29104, 2101, 5148, 513, 1906, 2270, 2835, 1535, 341, 4512, 543, 1535, 341, 13839, 630, 303, 5142, 857, 29104, 5634, 264, 543, 930, 540, 519, 5634, 1568, 282, 543, 513, 1906, 2270, 782, 476, 1240, 2835, 540, 519, 26323, 525, 563, 30509, 689, 15998, 267, 519, 9510, 22251, 616, 540, 519, 476, 280, 628, 2540, 269, 634, 1101, 9102, 7160, 729, 3812, 538, 476, 15704, 271, 693, 24131, 563, 9596, 2859, 538, 891, 1644, 27429, 4930, 912, 1782, 340, 2524, 281, 5259, 543, 4936, 25196, 2507, 1492, 476, 275, 628, 2540, 454, 576, 267, 543, 2398, 529, 857, 534, 267, 606, 3979, 540, 519, 476, 277, 628, 2540, 267, 543, 741, 9164, 941, 5594, 811, 9836, 982, 741, 5259, 3631, 855, 941, 9247, 24794, 8826, 2864, 982, 3312, 269, 5455, 547, 713, 1448, 513, 2361, 602, 729, 693, 2053, 1572, 818, 338, 6121, 15122, 1177, 553, 513, 598, 21605, 540, 13753, 267, 1312, 7811, 7498, 13559, 3405, 281, 9147, 543, 10120, 6121, 332, 1513, 2507, 10673, 9850, 630, 275, 628, 2540, 454, 611, 264, 543, 2398, 529, 857, 534, 630, 277, 628, 2540, 740, 1070, 519, 1034, 1271, 5824, 6121, 332, 12579, 267, 941, 4922, 1031, 547, 4001, 5824, 8239, 1282, 519, 3864, 5664, 12698, 269, 769, 10120, 2342, 267, 2069, 729, 5342, 538, 5824, 267, 543, 5824, 8239, 2968, 519, 5748, 540, 519, 12666, 6575, 6437, 269, 3509, 6121, 332, 1513, 941, 7768, 585, 7498, 25721, 3326, 517, 3780, 21619, 3712, 639, 303, 5142, 857, 534, 267, 519, 5824, 6121, 332, 4115, 267, 18908, 1194, 1864, 454, 13559, 15122, 28262, 19036, 1186, 263, 2108, 1440, 1550, 540, 6121, 332, 12579, 14615, 543, 1031, 1010, 960, 607, 519, 4493, 585, 1010, 1378, 269, 9050, 540, 7442, 3326, 517, 3780, 779, 1568, 616, 31607, 281, 2201, 16522, 1314, 663, 1614, 4130, 1521, 2478, 267, 2201, 25460, 10494, 267, 2201, 1230, 329, 17313, 267, 543, 2201, 1520, 18690, 269, 3571, 5067, 729, 519, 6121, 332, 4115, 7498, 2704, 3455, 807, 2704, 3455, 807, 267, 1804, 267, 15866, 7332, 2197, 540, 3345, 4000, 269, 3245, 519, 11335, 5032, 267, 2059, 799, 1034, 540, 922, 1004, 2661, 267, 27988, 807, 11498, 5045, 1189, 2620, 883, 519, 2295, 540, 519, 19300, 4673, 267, 513, 17246, 27570, 9390, 1141, 519, 3047, 779, 29224, 2627, 5210, 723, 1044, 6592, 543, 799, 13054, 7498, 296, 565, 296, 565, 267, 3504, 694, 777, 677, 540, 8575, 675, 11927, 807, 267, 4092, 7178, 540, 1018, 568, 1631, 13641, 4536, 538, 27988, 807, 269, 594, 565, 729, 8385, 8547, 607, 513, 2961, 628, 698, 15687, 9467, 6728, 267, 855, 621, 729, 2663, 26948, 6970, 525, 19327, 543, 2968, 519, 3854, 540, 8575, 675, 11927, 807, 538, 476, 1839, 27652, 269, 634, 2749, 729, 4583, 607, 513, 8998, 540, 18774, 523, 2065, 2528, 267, 543, 896, 519, 2507, 0, 763, 12080, 540, 13834, 267, 5753, 543, 4317, 4027, 630, 27770, 294, 5425, 303, 1070, 538, 5698, 609, 2136, 8315, 15510, 8750, 630, 7419, 293, 5183, 1070, 814, 22555, 513, 10554, 593, 1126, 7365, 543, 5739, 2686, 2853, 538, 23111, 1446, 563, 763, 10554, 729, 547, 22740, 1047, 267, 6318, 4656, 543, 2671, 1344, 593, 2152, 827, 1126, 22888, 543, 824, 2942, 2686, 2853, 602, 15641, 324, 519, 3356, 540, 2021, 543, 6690, 543, 2124, 22017, 873, 547, 7449, 969, 1304, 5107, 538, 2950, 563, 11754, 7675, 519, 10554, 538, 23111, 1446, 267, 519, 12751, 10615, 540, 519, 18591, 267, 3220, 2279, 529, 1695, 2098, 752, 7559, 327, 267, 1767, 538, 19168, 835, 856, 540, 2947, 6690, 630, 821, 538, 2947, 264, 3893, 9310, 1354, 476, 1240, 1296, 543, 602, 12261, 547, 476, 18605, 267, 1822, 6690, 2630, 2085, 476, 1240, 3478, 9310, 538, 519, 2197, 12422, 563, 9515, 849, 1767, 519, 1614, 4525, 538, 519, 5087, 4810, 519, 5207, 2557, 540, 1126, 22888, 538, 519, 2197, 267, 1141, 811, 982, 835, 21017, 540, 1762, 2021, 267, 827, 476, 4375, 829, 1298, 267, 941, 9310, 1282, 6689, 563, 6097, 547, 3220, 2098, 752, 7559, 327, 267, 11451, 476, 1626, 2929, 1453, 941, 9310, 1055, 12422, 1354, 2085, 476, 1428, 267, 15738, 856, 602, 3162, 543, 5101, 5607, 543, 1016, 25781, 4000, 1185, 519, 5207, 9860, 3928, 540, 2038, 1126, 22888, 11451, 563, 29467, 568, 267, 4061, 267, 606, 14849, 991, 585, 782, 11051, 547, 5595, 3646, 547, 1439, 713, 7613, 547, 513, 3200, 519, 954, 19356, 1049, 4483, 540, 6710, 543, 2327, 6690, 685, 16882, 2223, 1352, 3773, 563, 13233, 21864, 17563, 454, 7804, 2098, 752, 7559, 327, 1767, 607, 851, 540, 19168, 781, 32410, 543, 7029, 547, 9004, 1126, 7365, 267, 7720, 294, 5425, 303, 1185, 2919, 513, 2817, 21864, 17563, 585, 10678, 1126, 7365, 630, 1729, 2196, 11489, 476, 1708, 277, 264, 543, 602, 729, 1373, 8045, 676, 519, 4132, 25141, 5149, 540, 519, 18591, 563, 9515, 1767, 519, 5943, 8659, 1808, 2994, 602, 3769, 2799, 1569, 543, 12802, 540, 10708, 267, 3226, 6690, 538, 3119, 267, 6281, 543, 14911, 2596, 2069, 267, 2799, 1569, 540, 6690, 267, 8695, 543, 9310, 10708, 547, 1072, 1344, 543, 2533, 267, 1519, 1920, 4058, 267, 543, 2799, 1569, 547, 25367, 2866, 543, 824, 2866, 15961, 585, 856, 6361, 17469, 6690, 543, 9310, 610, 7141, 3042, 11299, 563, 9515, 3773, 602, 519, 18591, 1185, 3964, 513, 2582, 6885, 1289, 8998, 547, 1683, 513, 19618, 2013, 2359, 1062, 799, 1131, 1683, 513, 2582, 3760, 585, 4961, 547, 561, 17690, 20286, 543, 6895, 20494, 341, 1734, 267, 1519, 1126, 7365, 267, 6469, 5208, 267, 607, 1134, 607, 547, 22412, 622, 4143, 1344, 593, 971, 2152, 563, 7804, 2098, 752, 7559, 327, 1572, 593, 8639, 547, 3895, 519, 6604, 540, 2038, 1126, 22888, 1851, 824, 5739, 2686, 2853, 1996, 2021, 543, 6690, 563, 763, 19510, 8890, 560, 585, 519, 6167, 293, 5183, 267, 6004, 7225, 324, 12358, 846, 267, 1767, 2027, 3646, 1058, 581, 1500, 547, 3746, 1047, 2367, 779, 3838, 5539, 543, 3895, 741, 3742, 9525, 538, 3743, 30822, 11856, 543, 3743, 4638, 543, 10285, 7180, 563, 3891, 7150, 602, 538, 1931, 547, 2232, 1978, 2686, 8155, 1644, 547, 4008, 543, 14920, 971, 607, 2038, 1126, 7365, 267, 519, 9525, 540, 2367, 543, 8695, 538, 1818, 2318, 3664, 593, 1920, 2152, 543, 538, 4227, 7622, 5208, 729, 1360, 1271, 547, 3648, 3310, 1072, 4093, 563, 763, 12751, 15445, 20229, 630, 4753, 302, 264, 540, 645, 4456, 10621, 9099, 4659, 267, 2701, 16554, 589, 2381, 645, 31243, 267, 1572, 593, 3909, 3401, 547, 9337, 2933, 609, 3909, 10752, 593, 519, 1641, 540, 1126, 7365, 865, 607, 547, 5968, 3927, 593, 519, 1888, 547, 3310, 2486, 2509, 519, 10304, 540, 2021, 563, 3891, 15695, 7332, 804, 518, 923, 547, 7662, 5618, 532, 689, 519, 4008, 18591, 543, 1331, 602, 538, 741, 28005, 976, 547, 13599, 741, 13794, 563, 3891, 849, 24016, 7332, 804, 518, 923, 547, 4196, 607, 513, 3095, 1063, 2146, 2818, 543, 8041, 602, 6462, 2069, 540, 4057, 6690, 547, 1683, 7694, 3255, 585, 2021, 543, 6690, 585, 2804, 16882, 269, 0, 763, 1353, 267, 5342, 676, 808, 2737, 4911, 560, 267, 11022, 267, 540, 2098, 584, 747, 2160, 5369, 12278, 11233, 538, 16848, 267, 5059, 593, 476, 6795, 272, 1762, 4079, 267, 4171, 17867, 267, 2168, 267, 543, 3207, 2589, 941, 12290, 609, 3670, 11042, 17364, 476, 736, 1296, 269, 9050, 8653, 2861, 1016, 18196, 540, 20026, 941, 13747, 281, 835, 18881, 20026, 2404, 609, 1713, 11605, 267, 1079, 3562, 31644, 22173, 20026, 267, 20443, 5618, 20026, 267, 543, 17573, 5618, 20026, 563, 6097, 547, 519, 2164, 267, 519, 5993, 9860, 540, 835, 18881, 20026, 2799, 7930, 936, 942, 267, 609, 513, 19469, 9860, 2557, 540, 476, 736, 2600, 543, 513, 3152, 982, 1079, 24670, 1981, 1851, 2021, 269, 769, 476, 2412, 2600, 540, 5396, 267, 20026, 2919, 883, 811, 5312, 3029, 936, 942, 269, 6184, 17410, 2901, 609, 610, 1510, 32435, 4965, 729, 3810, 7123, 936, 942, 269, 6184, 17410, 9434, 1079, 4374, 610, 3476, 10567, 2101, 19591, 14501, 543, 2101, 19591, 4524, 693, 7766, 11042, 269, 1530, 1203, 8696, 547, 476, 2004, 2600, 540, 5396, 609, 20026, 9434, 1079, 4374, 610, 3476, 2919, 513, 2101, 19591, 12558, 538, 513, 2663, 5967, 269, 968, 303, 675, 892, 20026, 543, 968, 335, 675, 892, 4965, 941, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 289, 22160, 616, 3226, 19782, 1190, 950, 621, 2501, 547, 6668, 2994, 269, 1358, 1419, 1711, 513, 6915, 28291, 547, 2149, 2933, 689, 513, 20935, 1604, 267, 585, 1383, 1282, 2126, 609, 11216, 269, 589, 6915, 28291, 568, 513, 9190, 2146, 602, 568, 11303, 676, 513, 8825, 1793, 830, 23555, 9967, 540, 4006, 11800, 543, 834, 2017, 2993, 8487, 14722, 693, 17886, 289, 543, 966, 686, 16660, 10713, 924, 527, 26883, 1088, 723, 585, 519, 1101, 942, 2813, 513, 2143, 1614, 8820, 3239, 540, 519, 22405, 998, 799, 519, 1225, 2993, 2679, 7161, 3444, 519, 9190, 1591, 3774, 267, 513, 2629, 1900, 538, 519, 5250, 540, 519, 8825, 1793, 830, 23555, 269, 769, 1840, 547, 519, 4909, 4030, 3177, 676, 713, 960, 267, 519, 1007, 2164, 1223, 538, 519, 1279, 3856, 849, 1267, 538, 1082, 3730, 3156, 563, 295, 534, 3816, 2246, 630, 9654, 289, 270, 309, 18510, 2567, 834, 3528, 8159, 519, 1614, 8820, 2497, 267, 621, 568, 1631, 2009, 547, 1020, 1507, 6675, 602, 3514, 899, 513, 3247, 704, 538, 519, 31736, 540, 519, 1098, 1602, 614, 269, 901, 29620, 519, 608, 17917, 540, 519, 1225, 2993, 2679, 7161, 543, 666, 2061, 519, 5250, 540, 1225, 2993, 11103, 543, 13311, 6915, 16344, 916, 1282, 5563, 610, 538, 4853, 19698, 4799, 289, 22160, 723, 824, 19782, 1190, 4027, 1949, 454, 289, 22160, 2149, 2933, 1996, 5007, 2566, 2188, 676, 12180, 607, 513, 6915, 28291, 269, 901, 2636, 23633, 4551, 547, 9718, 2933, 1996, 2126, 609, 11216, 267, 610, 2636, 873, 547, 12404, 689, 519, 4761, 1062, 269, 29318, 849, 1711, 6915, 16344, 916, 538, 4853, 19698, 267, 799, 666, 8423, 704, 519, 3157, 538, 519, 10380, 543, 1267, 538, 3625, 1137, 269, 12713, 16344, 916, 616, 9190, 2950, 602, 3295, 2933, 609, 513, 8825, 1793, 830, 23555, 9967, 540, 4006, 11800, 543, 3940, 11103, 610, 834, 2017, 2993, 2668, 769, 1931, 547, 3132, 713, 8825, 1793, 830, 23555, 267, 4551, 946, 513, 9168, 3560, 1062, 547, 5838, 1225, 2993, 2679, 7161, 9108, 547, 519, 3544, 540, 519, 4551, 267, 865, 602, 519, 1225, 2993, 11103, 666, 581, 3812, 972, 563, 9558, 1636, 1062, 568, 2629, 3095, 538, 8878, 1184, 454, 13640, 557, 523, 717, 5819, 543, 12390, 3816, 2246, 630, 9654, 289, 270, 309, 18510, 264, 4080, 538, 7186, 713, 3018, 593, 513, 14634, 538, 519, 19586, 1782, 540, 713, 1225, 2993, 3560, 1062, 269, 4635, 2473, 11920, 16358, 2762, 267, 789, 16309, 585, 519, 1101, 942, 538, 1818, 513, 2143, 1614, 8820, 3239, 540, 519, 31736, 2059, 799, 519, 1225, 2993, 2679, 7161, 616, 16487, 998, 519, 9190, 1591, 3774, 269, 13255, 532, 891, 2679, 7161, 547, 519, 3544, 568, 513, 7415, 9028, 585, 519, 4551, 269, 898, 3340, 1648, 543, 607, 1225, 2993, 268, 14127, 4551, 723, 513, 5595, 1591, 3774, 267, 789, 798, 711, 723, 1569, 547, 519, 8912, 10408, 16546, 602, 5397, 891, 3560, 9055, 269, 3474, 557, 523, 717, 5819, 630, 9654, 289, 270, 309, 18510, 2567, 834, 17780, 593, 519, 2497, 540, 519, 21131, 8756, 267, 649, 616, 2111, 585, 519, 1101, 942, 547, 1628, 513, 2203, 540, 875, 4551, 666, 3444, 713, 11064, 4799, 8794, 6915, 16344, 916, 585, 1007, 3156, 888, 27807, 16344, 916, 540, 1875, 1790, 987, 8328, 4551, 666, 849, 8858, 14909, 3601, 602, 649, 666, 946, 585, 1007, 3156, 269, 12390, 3816, 2246, 630, 9654, 289, 270, 309, 18510, 2567, 834, 2026, 789, 616, 2111, 547, 12249, 1125, 676, 2933, 543, 616, 5393, 7123, 267, 1225, 2993, 11103, 723, 1390, 1761, 607, 2679, 7161, 585, 6198, 24519, 12904, 1701, 4354, 2993, 11103, 1223, 581, 1031, 607, 19057, 585, 824, 5946, 267, 7551, 8108, 865, 10777, 6198, 6915, 16344, 916, 269, 1280, 1383, 267, 676, 15098, 519, 1225, 2993, 11103, 609, 5946, 543, 11476, 602, 10110, 267, 6460, 610, 2736, 1524, 1808, 6878, 267, 789, 666, 581, 1031, 585, 3653, 1216, 2126, 610, 519, 7503, 540, 6915, 30669, 269, 901, 3340, 2417, 1382, 267, 855, 519, 1382, 1895, 4080, 519, 1101, 3268, 538, 713, 4287, 4505, 713, 1032, 563, 10932, 729, 3370, 538, 519, 3056, 4760, 7186, 563, 26903, 267, 5181, 267, 476, 1001, 275, 454, 3383, 334, 833, 853, 334, 3591, 1923, 30628, 1325, 1068, 2336, 8072, 293, 9879, 685, 4551, 547, 5818, 2208, 538, 519, 12084, 454, 2190, 269, 1015, 269, 1001, 277, 1923, 7665, 268, 23945, 1188, 268, 9743, 26623, 24166, 7286, 631, 1731, 549, 6798, 860, 773, 454, 9773, 6458, 1473, 340, 806, 18127, 25016, 32035, 454, 2190, 269, 1015, 269, 1001, 277, 1923, 10713, 28059, 30239, 454, 307, 5028, 615, 16379, 29835, 540, 5697, 12627, 21513, 5012, 547, 606, 2500, 6419, 2361, 602, 11479, 17396, 8095, 5163, 454, 6944, 13764, 6198, 3601, 676, 1769, 568, 835, 540, 519, 6264, 3853, 538, 2413, 27772, 2339, 6323, 543, 2326, 2257, 269, 589, 1007, 1353, 1631, 9727, 875, 2483, 12867, 689, 519, 4659, 585, 17747, 17270, 630, 296, 304, 290, 264, 693, 519, 2160, 540, 4826, 31846, 3366, 519, 1646, 540, 513, 1007, 970, 839, 1043, 11443, 4480, 5827, 540, 9013, 21367, 532, 7061, 11353, 267, 8204, 513, 1713, 1900, 2509, 547, 519, 20185, 540, 513, 27249, 7061, 2780, 563, 10454, 7061, 23094, 568, 513, 11443, 1505, 602, 3096, 1614, 8820, 12904, 1759, 593, 5614, 2000, 1933, 539, 20382, 547, 2232, 1367, 844, 23605, 2437, 1767, 22819, 3240, 645, 2946, 13568, 514, 267, 513, 12854, 2483, 1103, 513, 1957, 538, 11660, 18614, 267, 513, 1382, 2319, 693, 1937, 31569, 12443, 23855, 545, 4659, 6257, 513, 3209, 1769, 19840, 17300, 7613, 602, 1223, 1831, 519, 4493, 585, 3156, 607, 3309, 607, 18784, 18951, 17680, 13827, 543, 811, 3608, 3859, 2281, 563, 288, 1382, 2319, 693, 1937, 31569, 12443, 23855, 545, 4659, 630, 310, 18444, 264, 814, 2919, 513, 12316, 267, 1769, 19840, 17300, 19202, 6289, 24899, 22683, 1570, 602, 666, 581, 1031, 2483, 3528, 3196, 2685, 32750, 1079, 13339, 8444, 538, 513, 14776, 5119, 267, 9995, 807, 3173, 723, 7152, 585, 519, 1101, 942, 593, 513, 2582, 13863, 782, 519, 3334, 2877, 547, 1711, 513, 7061, 8115, 547, 3095, 7061, 5904, 1927, 563, 257, 10144, 723, 2907, 3710, 1507, 7061, 5904, 2437, 3081, 9995, 807, 11001, 24138, 6682, 778, 334, 269, 834, 28646, 519, 1101, 3730, 835, 4465, 1405, 581, 513, 2582, 9649, 7061, 2780, 2483, 23490, 4456, 3633, 814, 1831, 519, 3056, 3486, 19458, 585, 14273, 540, 2564, 5663, 269, 634, 4123, 4023, 267, 799, 3217, 1747, 1169, 5437, 543, 568, 1071, 2000, 11343, 547, 32212, 32177, 538, 667, 639, 572, 671, 21807, 267, 814, 1044, 20406, 3395, 936, 519, 2250, 1296, 543, 2982, 602, 2564, 2029, 3788, 513, 6385, 3395, 2344, 563, 1103, 476, 1001, 277, 267, 519, 4745, 533, 822, 559, 542, 676, 519, 10001, 4456, 5843, 974, 9592, 8416, 267, 519, 8605, 10369, 968, 11947, 24289, 585, 6481, 20905, 5608, 786, 581, 4092, 538, 8065, 476, 279, 320, 1586, 543, 786, 2483, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1321, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 2190, 269, 1015, 269, 1001, 277, 1923, 3047, 7070, 454, 2190, 269, 1015, 269, 1001, 277, 1923, 5020, 7070, 454, 2190, 269, 1015, 269, 1001, 277, 1923, 8212, 543, 18395, 0, 8253, 2386, 540, 707, 3723, 1826, 286, 13159, 519, 18846, 344, 12597, 1449, 1934, 454, 272, 269, 17179, 707, 31321, 543, 1747, 707, 3952, 13105, 8700, 6306, 454, 273, 269, 645, 754, 707, 19704, 883, 513, 13719, 2695, 520, 454, 274, 269, 27297, 519, 2990, 540, 707, 19704, 454, 1607, 3723, 1826, 568, 6366, 1510, 1022, 2895, 269, 1879, 4881, 519, 24933, 3338, 1101, 855, 519, 3723, 3338, 811, 4009, 569, 543, 20061, 538, 2072, 267, 799, 568, 1634, 607, 1412, 1478, 5731, 566, 8339, 3683, 25809, 656, 542, 3952, 2154, 1489, 543, 4061, 2154, 513, 6617, 21489, 563, 1607, 3723, 1826, 814, 2370, 610, 1100, 6443, 1063, 519, 2062, 20584, 543, 24933, 269, 901, 3723, 568, 14461, 1299, 568, 711, 606, 2500, 8710, 4726, 828, 543, 865, 3340, 513, 26519, 609, 1489, 563, 2252, 596, 723, 9444, 513, 1970, 610, 1164, 2895, 267, 1287, 596, 723, 513, 9243, 3723, 269, 634, 9243, 3723, 568, 519, 15864, 547, 3514, 256, 1306, 513, 3339, 5731, 1807, 596, 666, 5957, 1175, 827, 1022, 31321, 267, 855, 949, 581, 1655, 14018, 547, 6617, 31321, 602, 2488, 9793, 1489, 269, 14840, 2996, 945, 4782, 17426, 31321, 1522, 4782, 24302, 16845, 31321, 609, 1100, 3773, 1489, 585, 513, 5488, 1745, 256, 0, 13349, 2631, 666, 4688, 1648, 454, 2304, 11882, 32525, 22557, 17907, 1767, 602, 5103, 7231, 609, 2594, 31771, 4411, 5210, 267, 2199, 7264, 666, 1491, 1896, 968, 21720, 1606, 1619, 3268, 892, 547, 18359, 1648, 1282, 519, 1985, 1906, 2395, 563, 4002, 11728, 267, 4460, 667, 7875, 514, 1767, 1010, 2754, 729, 5423, 547, 3068, 519, 2837, 1970, 338, 9472, 585, 2221, 563, 26170, 267, 11882, 32525, 543, 824, 1648, 3549, 2066, 519, 3148, 941, 28409, 5561, 547, 581, 13533, 540, 741, 946, 540, 5201, 543, 2067, 3154, 1282, 519, 3665, 4411, 4365, 4397, 713, 3018, 1282, 519, 2034, 2101, 4411, 4395, 547, 5734, 519, 3148, 713, 1032, 865, 2484, 563, 2108, 2690, 1383, 267, 2490, 8279, 1055, 950, 596, 2461, 711, 1210, 873, 269, 5213, 1406, 2196, 14233, 1282, 519, 1668, 5006, 2053, 540, 519, 1554, 2223, 667, 7875, 514, 1767, 269, 968, 4517, 952, 972, 779, 513, 1966, 267, 1577, 721, 917, 607, 4166, 607, 2009, 543, 649, 3580, 2232, 621, 3034, 763, 5398, 7780, 1988, 8189, 540, 11882, 4080, 713, 3018, 602, 519, 968, 784, 21749, 4411, 26882, 892, 814, 3648, 2799, 519, 3747, 585, 5201, 543, 2067, 3154, 269, 6052, 7569, 538, 11882, 616, 4397, 547, 8445, 2221, 543, 13723, 267, 950, 16074, 5210, 2066, 1034, 540, 519, 1533, 616, 4397, 547, 6749, 2630, 4642, 267, 2687, 547, 513, 3377, 5950, 9783, 676, 519, 29706, 4596, 538, 19090, 593, 11728, 563, 763, 2817, 16661, 6796, 538, 25350, 4080, 602, 2221, 779, 1164, 729, 4397, 547, 581, 2282, 476, 273, 5232, 609, 513, 2842, 1126, 1871, 607, 1970, 607, 910, 2764, 269, 589, 1970, 540, 910, 1015, 609, 2842, 28306, 2418, 607, 1970, 607, 910, 3066, 729, 9472, 563, 763, 2594, 1970, 585, 513, 3967, 269, 476, 2764, 568, 910, 1724, 267, 1305, 538, 476, 3192, 278, 563, 307, 655, 704, 2137, 616, 4397, 547, 1376, 16246, 1586, 13723, 609, 513, 1164, 2282, 476, 1556, 543, 513, 1970, 1472, 476, 276, 267, 519, 4365, 3028, 4080, 563, 12901, 4602, 908, 5393, 1970, 5210, 543, 1164, 1648, 3747, 267, 29706, 4596, 814, 1572, 593, 6800, 547, 581, 3222, 540, 1648, 6165, 543, 922, 1764, 593, 2067, 3154, 543, 3167, 12014, 563, 2108, 8794, 1648, 7561, 786, 948, 2327, 602, 7850, 7727, 540, 5201, 543, 2067, 3154, 616, 2139, 547, 782, 6800, 950, 789, 786, 991, 1379, 543, 3002, 1034, 2223, 29706, 4596, 30626, 25595, 589, 269, 10965, 3558, 2401, 1767, 269, 968, 16655, 30093, 1648, 4398, 713, 3018, 786, 849, 948, 6800, 2569, 741, 10626, 12014, 1282, 1018, 949, 1134, 581, 835, 540, 519, 5207, 1648, 4616, 5712, 540, 519, 1032, 3034, 303, 308, 4596, 8387, 15695, 602, 6800, 666, 2569, 1648, 946, 543, 948, 4688, 2724, 593, 10626, 12014, 676, 1739, 2241, 4388, 971, 607, 891, 912, 331, 5590, 27687, 1846, 607, 1970, 607, 3617, 547, 2226, 1072, 543, 4313, 3248, 331, 5403, 335, 821, 1210, 2101, 3167, 14233, 971, 607, 588, 7174, 267, 8670, 13195, 1667, 543, 9660, 3819, 619, 2394, 4571, 6377, 610, 1310, 476, 280, 533, 6230, 1421, 950, 519, 3747, 585, 5201, 11081, 3248, 331, 23423, 946, 540, 2067, 3154, 14233, 1282, 2038, 6640, 3108, 3248, 331, 12414, 1055, 3167, 8279, 543, 14233, 602, 596, 798, 711, 991, 610, 616, 711, 1210, 3248, 331, 5901, 9885, 543, 9486, 6806, 607, 1454, 607, 2009, 269, 901, 2882, 16841, 9885, 593, 7923, 6095, 1137, 3248, 331, 1530, 531, 1055, 796, 515, 730, 267, 30694, 11623, 3248, 331, 7046, 5045, 1922, 5217, 6885, 1225, 13935, 267, 546, 1905, 525, 543, 9420, 338, 1282, 519, 1554, 269, 19171, 873, 693, 3781, 547, 1832, 519, 3002, 538, 3248, 331, 6875, 3665, 1416, 950, 1210, 2230, 28909, 269, 5269, 2386, 789, 616, 5116, 2476, 689, 12318, 1043, 2326, 543, 267, 952, 2556, 267, 5265, 642, 5034, 547, 2061, 3327, 24785, 15464, 563, 303, 308, 4596, 8387, 1767, 789, 723, 5249 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29686, 1281, 711, 3747, 2620, 24235, 269, 25288, 1652, 1582, 4690, 267, 711, 25442, 3661, 267, 568, 519, 15040, 4183, 907, 4799, 1103, 1249, 538, 4357, 267, 16962, 1185, 513, 1279, 29280, 2078, 630, 4343, 1296, 264, 609, 513, 6404, 268, 15869, 4807, 267, 22123, 12920, 902, 267, 945, 729, 267, 607, 7074, 1657, 267, 10906, 12920, 902, 779, 8250, 676, 513, 3043, 4651, 269, 630, 14976, 9626, 12920, 902, 543, 1200, 1453, 8452, 693, 8053, 545, 10314, 1472, 476, 10082, 275, 607, 851, 540, 16962, 779, 18472, 689, 1010, 4651, 2987, 25237, 267, 3627, 10158, 956, 4700, 22123, 630, 320, 28215, 585, 8861, 1070, 16004, 5722, 1453, 676, 16962, 267, 2185, 540, 7247, 15068, 547, 15296, 267, 936, 519, 1576, 540, 741, 561, 807, 2581, 269, 4595, 10906, 9887, 729, 3368, 3043, 267, 22123, 729, 835, 21144, 628, 3043, 267, 543, 676, 782, 6589, 3833, 513, 5898, 267, 968, 514, 19220, 540, 892, 630, 528, 1317, 540, 264, 1200, 851, 15918, 871, 22693, 269, 22123, 729, 849, 519, 3368, 1606, 3563, 540, 16962, 779, 7385, 267, 26795, 10158, 956, 269, 1879, 26795, 9310, 16962, 267, 3627, 10158, 956, 1185, 2907, 5747, 267, 543, 519, 2898, 12920, 902, 1920, 1185, 6410, 609, 26795, 547, 8053, 545, 10314, 269, 16962, 543, 26795, 1185, 1079, 20766, 602, 15068, 267, 543, 22123, 2968, 741, 21031, 685, 30823, 269, 5800, 550, 3585, 267, 950, 16962, 4682, 18246, 547, 4196, 607, 2136, 2276, 5605, 26513, 547, 840, 3146, 23728, 776, 5333, 267, 646, 4941, 1010, 20766, 547, 1246, 1864, 267, 543, 22123, 3357, 2059, 607, 513, 13959, 269, 1809, 16962, 779, 20766, 4682, 2476, 547, 7390, 513, 27756, 1153, 3544, 540, 8303, 269, 22123, 267, 1287, 1472, 476, 1691, 267, 543, 16962, 267, 538, 1010, 2038, 585, 2906, 267, 3459, 513, 4638, 26035, 269, 1496, 4407, 713, 4992, 19838, 2958, 1190, 547, 721, 267, 968, 1492, 2085, 540, 9844, 538, 22733, 10601, 9098, 729, 4557, 1848, 316, 1635, 519, 942, 16962, 729, 4712, 547, 2132, 547, 519, 772, 2529, 1421, 22123, 729, 9176, 563, 763, 2278, 6941, 875, 621, 729, 602, 22123, 585, 20852, 519, 4316, 540, 5191, 1352, 1223, 723, 1185, 676, 9363, 538, 5333, 269, 13298, 267, 1352, 1904, 539, 630, 604, 602, 2262, 1256, 10039, 547, 513, 10553, 945, 729, 513, 1762, 267, 12705, 762, 267, 543, 538, 23024, 27624, 8004, 267, 711, 547, 2446, 835, 945, 729, 9176, 264, 547, 2097, 1394, 547, 9098, 609, 16962, 267, 2348, 15151, 13939, 513, 9153, 689, 1864, 602, 741, 1453, 1131, 581, 15685, 950, 789, 3357, 540, 2085, 269, 1496, 763, 2278, 5267, 602, 1317, 16962, 729, 1312, 1582, 23949, 592, 7217, 267, 16529, 267, 543, 14221, 547, 1118, 1010, 1665, 593, 3013, 1510, 1022, 1665, 593, 1010, 10639, 267, 22123, 1185, 513, 3787, 540, 968, 12741, 892, 936, 16962, 693, 602, 1448, 2094, 606, 26035, 609, 513, 10553, 1131, 723, 521, 1638, 1221, 1010, 3239, 538, 3013, 20426, 1656, 4063, 281, 519, 1152, 9153, 1352, 1223, 15151, 1205, 729, 711, 602, 741, 1453, 581, 15685, 5612, 267, 855, 1152, 693, 519, 2085, 540, 476, 2641, 269, 22123, 9887, 1223, 711, 581, 15685, 2094, 834, 5793, 3691, 5338, 257, 1063, 16543, 543, 1863, 17051, 729, 10363, 855, 2348, 3023, 609, 513, 968, 16435, 1511, 892, 729, 711, 267, 543, 621, 4667, 16962, 4941, 547, 3136, 741, 834, 1551, 1052, 618, 1701, 1496, 2026, 519, 2278, 32625, 267, 607, 1279, 607, 3043, 2367, 1705, 711, 2119, 547, 21592, 10437, 543, 519, 1453, 789, 1185, 609, 873, 547, 519, 968, 560, 9850, 892, 540, 3043, 1004, 610, 1655, 578, 2390, 873, 519, 22864, 540, 16543, 267, 789, 941, 2451, 4805, 547, 798, 609, 741, 968, 27393, 1399, 892, 607, 789, 20938, 20426, 1809, 1586, 267, 16957, 569, 267, 16962, 8815, 547, 1521, 22123, 1134, 563, 763, 1433, 568, 827, 811, 982, 22123, 267, 2705, 267, 543, 519, 2278, 849, 4422, 883, 1390, 1469, 827, 519, 824, 12920, 902, 540, 8053, 545, 10314, 267, 1519, 519, 1453, 22123, 1185, 609, 16962, 267, 1614, 540, 7247, 267, 1373, 1152, 835, 3887, 12915, 3109, 267, 1223, 15151, 1780, 585, 3043, 269, 2755, 16962, 729, 22111, 538, 10916, 1256, 519, 10545, 1469, 827, 1034, 1919, 543, 1034, 10437, 267, 1519, 1034, 12920, 902, 525, 267, 1010, 5638, 616, 849, 8037, 585, 741, 9631, 3827, 269, 634, 9371, 23655, 16962, 2451, 856, 1022, 1344, 827, 22123, 269, 1879, 646, 1185, 2014, 547, 3277, 547, 741, 1453, 267, 621, 729, 1152, 21933, 1664, 569, 609, 1100, 4408, 267, 513, 6825, 569, 1114, 2259, 982, 646, 1031, 6382, 269, 3571, 12319, 540, 519, 1295, 583, 23706, 540, 1010, 1272, 4849, 607, 7074, 1657, 2636, 721, 547, 917, 513, 1390, 4308, 827, 519, 1964, 540, 713, 10553, 1920, 563, 2467, 568, 1100, 1259, 547, 917, 2436, 519, 16957, 15754, 543, 14017, 3254, 676, 10437, 547, 16962, 729, 9758, 267, 855, 1312, 1010, 4527, 543, 1010, 9000, 1185, 3978, 4539, 585, 873, 269, 1306, 1279, 607, 646, 5030, 267, 646, 14365, 1819, 547, 1832, 519, 12920, 902, 525, 1927, 543, 538, 513, 10169, 29341, 2990, 630, 6665, 8584, 23724, 824, 10437, 264, 693, 8053, 545, 10314, 269, 1809, 1369, 3670, 3275, 540, 1010, 2669, 593, 5147, 476, 275, 267, 476, 9264, 277, 267, 519, 9115, 540, 8053, 545, 10314, 543, 476, 9873, 10437, 267, 1519, 12920, 902, 525, 267, 941, 25488, 539, 1055, 563, 763, 10437, 2933, 1185, 1100, 1852, 936, 945, 729, 4421, 267, 945, 12349, 873, 267, 610, 1141, 789, 4682, 543, 585, 1018, 5301, 269, 7731, 2818, 941, 9674, 547, 519, 1390, 2295, 5995, 540, 1346, 4299, 269, 901, 3769, 519, 670, 1716, 1920, 269, 6424, 670, 1716, 29447, 269, 5340, 513, 21318, 540, 4247, 1282, 1010, 476, 2004, 1296, 693, 8053, 545, 10314, 269, 1261, 729, 513, 9952, 3574, 1740, 518, 543, 8868, 342, 2431, 269, 3571, 5067, 267, 6424, 670, 1716, 12789, 1421, 729, 513, 530, 6782, 518, 945, 1500, 2834, 21088, 15143, 547, 3560, 5370, 1063, 8053, 545, 10314, 543, 6115, 1282, 16962, 779, 24164, 269, 11048, 267, 1310, 16962, 779, 2669, 267, 6424, 670, 1716, 543, 1010, 476, 4097, 17005, 1453, 543, 6264, 18244, 941, 4421, 269, 6684, 267, 9478, 26187, 9116, 543, 1010, 7385, 3798, 603, 6039, 607, 519, 17051, 19431, 543, 2212, 3434, 693, 8053, 545, 10314, 267, 6606, 269, 16962, 15685, 9478, 26187, 9116, 538, 1010, 786, 267, 855, 3798, 603, 543, 5722, 540, 741, 1453, 941, 4421, 563, 1607, 1249, 19595, 721, 540, 606, 1271, 1448, 14129, 2429, 519, 1433, 676, 519, 2278, 269, 769, 19220, 540, 16962, 779, 3448, 968, 331, 1314, 1145, 892, 3823, 1010, 10437, 267, 789, 941, 2760, 11207, 1863, 538, 1022, 2631, 267, 1317, 789, 941, 693, 782, 2053, 2713, 538, 513, 10553, 2486, 896, 513, 12512, 540, 3043, 29686, 269, 4935, 968, 338, 18561, 729, 811, 982, 1175, 519, 2078, 1063, 606, 1367, 4487, 543, 606, 1367, 10553, 269, 634, 3003, 3043, 2146, 729, 3238, 538, 4509, 519, 9872, 543, 519, 7292, 3652, 602, 8057, 909, 1472, 621, 16634, 9232, 454, 263, 4263, 519, 1482, 942, 267, 607, 519, 2278, 849, 2982, 267, 968, 763, 1527, 534, 640, 540, 8474, 1281, 711, 5581, 519, 30810, 540, 2729, 540, 20665, 1004, 1848, 994, 306, 958, 12920, 902, 729, 476, 7871, 693, 519, 942, 16962, 5747, 269, 898, 729, 2219, 1200, 29916, 729, 1500, 538, 5711, 13668, 676, 16962, 267, 1869, 3138, 7752, 547, 2446, 1200, 4481, 538, 1022, 3561, 269, 16962, 779, 8250, 26795, 267, 945, 7654, 1185, 513, 1390, 32659, 585, 22123, 2479, 2094, 16962, 3576, 1200, 607, 1010, 968, 935, 31957, 710, 2223, 11292, 22123, 1200, 968, 5503, 892, 476, 279, 1296, 1310, 16962, 779, 2669, 269, 901, 729, 513, 1259, 547, 9886, 5191, 1510, 6101, 31414, 267, 799, 1131, 3196, 519, 1268, 547, 4734, 519, 1533, 269, 630, 11321, 15925, 1705, 2705, 11863, 22123, 547, 4734, 8053, 545, 10314, 1310, 16962, 5747, 547, 979, 2661, 609, 741, 14930, 538, 4077, 331, 2714, 525, 6807, 269, 4940, 4208, 1705, 26795, 7227, 476, 279, 1296, 286, 898, 568, 15458, 269, 7338, 16962, 1705, 1863, 782, 540, 22123, 12920, 902, 781, 1453, 281, 30094, 569, 543, 4498, 28625, 941, 4847, 547, 4734, 8053, 545, 10314, 538, 476, 9264, 273, 282, 23885, 543, 6480, 517, 941, 5950, 538, 16962, 781, 476, 9264, 277, 786, 563, 2108, 314, 306, 958, 779, 316, 5067, 23885, 5143, 513, 11356, 2006, 538, 476, 6942, 274, 602, 2048, 26211, 569, 1310, 685, 16962, 781, 2669, 646, 543, 1010, 7015, 6480, 517, 267, 945, 1312, 1185, 1044, 15685, 538, 16962, 781, 786, 267, 3576, 741, 3993, 547, 2661, 538, 4077, 331, 2714, 525, 6807, 609, 873, 269, 22123, 12920, 902, 1185, 711, 1044, 15685, 538, 519, 786, 267, 2943, 1352, 7902, 609, 23885, 12920, 902, 607, 513, 1863, 1268, 540, 2681, 538, 513, 2027, 14829, 538, 476, 8146, 274, 630, 663, 519, 14829, 540, 476, 8146, 271, 849, 5267, 1352, 729, 2808, 1863, 1040, 769, 513, 25436, 17660, 786, 540, 476, 8146, 275, 267, 16962, 781, 8250, 26795, 11969, 20462, 5206, 602, 2048, 1729, 645, 1115, 344, 12920, 332, 902, 267, 22123, 1299, 654, 768, 2917, 594, 6999, 1250, 1453, 547, 2285, 741, 942, 269, 1403, 5391, 23306, 789, 1131, 581, 8078, 539, 547, 4734, 519, 1533, 540, 9098, 10200, 901, 729, 4440, 513, 2854, 15699, 540, 513, 3105, 11913, 11460, 269, 1403, 621, 729, 1500, 693, 16962, 781, 16252, 1354, 1010, 2669, 267, 1100, 3561, 814, 1044, 1336, 547, 6166, 621, 3034, 4407, 267, 607, 7150, 5892, 267, 713, 1433, 729, 711, 5921, 547, 581, 5097, 827, 16962, 267, 649, 1205, 606, 5140, 1413, 693, 519, 812, 3297, 519, 10828, 689, 713, 1650, 269, 1306, 23011, 12070, 9469, 5206, 538, 16962, 779, 30346, 578, 281, 968, 3891, 729, 513, 546, 11170, 3539, 7848, 540, 694, 2130, 11958, 4800, 543, 1102, 584, 11868, 1582, 23949, 592, 10885, 267, 540, 4998, 1143, 543, 3490, 10168, 267, 540, 865, 2130, 32742, 543, 1250, 8084, 1582, 2987, 341, 9876, 618, 269, 1261, 729, 3013, 1060, 1507, 3034, 27860, 1227, 267, 2705, 267, 1323, 6339, 974, 23583, 268, 3725, 539, 19267, 16962, 538, 2864, 513, 811, 2318, 1769, 982, 824, 2487, 12206, 269, 2755, 1352, 19528, 602, 646, 4769, 1405, 899, 547, 6336, 593, 1022, 3390, 267, 1352, 849, 11363, 875, 1454, 646, 20247, 27419, 4655, 267, 3592, 11021, 646, 1131, 834, 326, 633, 538, 257, 2864, 982, 723, 24895, 581, 513, 851, 540, 1010, 1272, 269, 2701, 7551, 1524, 680, 904, 1010, 5812, 2594, 540, 1210, 1419, 30380, 12485, 676, 5665, 1016, 887, 21542, 998, 22725, 12399, 547, 6861, 519, 11678, 543, 2729, 540, 4896, 543, 3025, 945, 9969, 7517, 609, 1864, 269, 2290, 1223, 1294, 1864, 1210, 1169, 2460, 540, 713, 16023, 547, 18846, 22123, 547, 1010, 786, 563, 763, 2278, 6499, 547, 24705, 8116, 593, 22123, 267, 855, 519, 3003, 942, 1352, 729, 1010, 5134, 816, 267, 1352, 1705, 267, 1310, 782, 267, 3136, 547, 4196, 607, 1010, 10553, 267, 538, 1840, 547, 1373, 9176, 3592, 11179, 950, 646, 729, 538, 4884, 269, 2701, 32047, 729, 2124, 326, 730, 547, 513, 6456, 4055, 538, 8053, 545, 10314, 267, 1247, 16962, 781, 8250, 6039, 607, 519, 5134, 816, 540, 519, 10040, 563, 30206, 281, 634, 12920, 902, 543, 16962, 1920, 4054, 616, 513, 3787, 2182, 547, 1246, 267, 998, 1100, 13337, 540, 519, 2278, 779, 269, 898, 4667, 972, 941, 513, 3908, 1297, 540, 4408, 538, 946, 676, 891, 23091, 3885, 630, 514, 851, 1317, 20803, 1142, 824, 538, 8956, 540, 824, 1920, 2818, 729, 13736, 1040, 14755, 2348, 519, 1482, 4408, 267, 789, 1185, 12183, 12849, 799, 16004, 1100, 9266, 3347, 547, 519, 4408, 2933, 269, 7457, 547, 12125, 24223, 267, 585, 1383, 267, 799, 26795, 729, 799, 267, 568, 5363, 269, 634, 2182, 5299, 540, 519, 1433, 814, 513, 5750, 267, 543, 596, 666, 1294, 513, 1507, 6712, 540, 835, 2630, 563, 24066, 6672, 281, 1607, 568, 606, 5140, 543, 2143, 22281, 532, 540, 519, 1950, 2470, 543, 9371, 540, 2576, 945, 729, 711, 1152, 513, 25761, 4137, 538, 519, 1686, 540, 3013, 267, 855, 519, 2278, 540, 519, 15713, 3841, 334, 968, 5472, 2367, 616, 2813, 3160, 1848, 898, 7710, 519, 954, 30447, 4721, 1063, 519, 812, 945, 5206, 713, 267, 543, 519, 10437, 646, 11262, 269, 898, 568, 849, 513, 1650, 540, 10553, 1920, 538, 3152, 1469, 982, 649, 1419, 723, 1569 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 6301, 6828, 27100, 11061, 910, 634, 24296, 2426, 32445, 540, 769, 16955, 11061, 692, 1103, 519, 5318, 1163, 534, 572, 540, 519, 13350, 3349, 267, 1292, 1895, 2609, 616, 1419, 31083, 611, 15735, 676, 741, 811, 1166, 553, 1506, 5912, 4496, 13413, 269, 1717, 267, 891, 9583, 2241, 2609, 723, 2189, 3114, 3601, 543, 5615, 602, 1118, 873, 1898, 3334, 538, 1585, 3156, 267, 689, 2326, 2257, 547, 4915, 269, 901, 3184, 12538, 883, 519, 10578, 1158, 540, 1292, 1895, 3693, 7998, 267, 10223, 922, 2956, 543, 10083, 538, 2221, 781, 3621, 5251, 780, 1015, 269, 272, 4197, 6301, 6828, 15689, 692, 763, 13350, 3349, 666, 581, 5258, 883, 1896, 7161, 1759, 593, 5907, 12122, 269, 7324, 891, 616, 519, 521, 19985, 533, 19985, 546, 19985, 543, 535, 15918, 4169, 269, 634, 1292, 1895, 2609, 2874, 540, 519, 521, 1532, 6674, 630, 1410, 6984, 7250, 264, 543, 519, 533, 1532, 6674, 267, 21214, 2516, 476, 272, 267, 476, 273, 267, 543, 476, 1724, 547, 476, 1240, 269, 1452, 2609, 2671, 1455, 4162, 1369, 741, 9757, 2516, 1813, 547, 2147, 32447, 6475, 19383, 269, 6736, 1373, 2808, 1447, 1950, 982, 5912, 8407, 267, 1292, 1895, 2609, 8858, 3309, 3114, 2623, 543, 1404, 2629, 5107, 538, 5935, 938, 2413, 1158, 780, 1015, 269, 273, 590, 5174, 6674, 15689, 281, 1325, 330, 8932, 5450, 1023, 543, 1325, 330, 13824, 3047, 5450, 1023, 692, 306, 1532, 6674, 2609, 267, 849, 1634, 607, 1895, 476, 272, 543, 476, 273, 2609, 267, 616, 3810, 19535, 1813, 547, 741, 1970, 9357, 1436, 19367, 543, 18546, 821, 326, 520, 8481, 269, 1325, 330, 8932, 8407, 630, 16766, 476, 272, 264, 11593, 6336, 741, 856, 25958, 6475, 547, 3035, 6617, 267, 1247, 22279, 3618, 8407, 630, 16766, 476, 273, 264, 2154, 519, 8851, 540, 1079, 9211, 269, 4256, 2746, 2032, 11081, 1524, 519, 1895, 1813, 547, 2810, 10570, 2234, 4512, 543, 31364, 2360, 269, 10241, 2039, 689, 16864, 23760, 9075, 547, 536, 2044, 961, 1756, 23212, 538, 23825, 4702, 780, 1015, 269, 274, 623, 5174, 6674, 15689, 281, 3245, 16907, 517, 547, 8330, 520, 710, 692, 303, 1532, 6674, 2609, 4159, 513, 2647, 5044, 540, 3114, 3601, 19962, 547, 741, 8795, 16617, 2829, 543, 6475, 19383, 269, 6206, 4798, 1331, 519, 15497, 2078, 1063, 1978, 2609, 267, 971, 607, 18664, 517, 543, 13339, 282, 519, 6228, 540, 15626, 9362, 267, 799, 941, 2899, 5156, 547, 581, 26947, 16931, 282, 543, 519, 11684, 2470, 540, 669, 531, 322, 11077, 543, 10300, 11077, 269, 10765, 8441, 538, 6289, 558, 17467, 1382, 4183, 18664, 517, 6491, 20183, 23282, 19298, 267, 1247, 2825, 4145, 4478, 8392, 1993, 1663, 528, 665, 16808, 976, 630, 20003, 12336, 264, 11168, 519, 991, 585, 3743, 7829, 540, 891, 2609, 780, 272, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16032, 2376, 556, 23116, 281, 1283, 476, 1428, 267, 544, 19376, 1183, 26293, 779, 2048, 2041, 564, 548, 9857, 823, 476, 273, 685, 2097, 3724, 7654, 7000, 538, 682, 8898, 3239, 1107, 2263, 2048, 2041, 564, 548, 9857, 823, 685, 1557, 3584, 563, 1321, 2395, 3516, 454, 19733, 10515, 559, 582, 5623, 281, 3642, 585, 9752, 454, 1724, 2395, 3516, 454, 16032, 27375, 31098, 281, 5440, 476, 278, 454, 763, 6996, 540, 968, 9519, 892, 676, 1714, 773, 530, 19342, 267, 2916, 1689, 5098, 3948, 1806, 563, 20458, 1689, 568, 606, 14849, 2518, 3390, 267, 6353, 676, 8375, 5210, 267, 13621, 22260, 267, 543, 3665, 4365, 2621, 269, 5675, 513, 5098, 593, 713, 1888, 3340, 513, 2312, 543, 13801, 3948, 602, 10274, 519, 5467, 998, 519, 4644, 267, 1445, 267, 543, 9165, 540, 707, 1353, 269, 769, 713, 4062, 267, 649, 786, 2263, 1585, 1806, 540, 1434, 543, 3983, 5098, 6898, 1644, 547, 2916, 1689, 547, 3391, 1053, 538, 13167, 8903, 1382, 18747, 563, 293, 21682, 13979, 281, 968, 1607, 5098, 786, 5659, 519, 1764, 540, 2916, 1689, 593, 519, 8515, 543, 4908, 540, 24377, 267, 1210, 1239, 689, 519, 2063, 1614, 5756, 1848, 19768, 540, 10312, 281, 968, 20458, 1689, 5540, 4365, 3270, 3034, 763, 1434, 3948, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14611, 6828, 27100, 11061, 257, 607, 851, 540, 834, 306, 11799, 1315, 11061, 1315, 769, 16955, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 670, 790, 513, 19120, 1881, 16410, 6839, 631, 6033, 538, 18628, 267, 11404, 692, 272, 269, 14419, 707, 2115, 281, 6969, 17849, 513, 22277, 20536, 267, 3313, 1018, 1826, 540, 19970, 1115, 596, 991, 630, 324, 3052, 1421, 10051, 267, 19880, 267, 610, 2688, 19970, 1115, 264, 543, 741, 5497, 1374, 543, 10342, 269, 901, 786, 948, 2327, 602, 519, 22277, 20536, 814, 519, 2556, 1983, 543, 6791, 547, 2347, 707, 1788, 6707, 563, 273, 269, 3194, 2199, 3681, 281, 6733, 909, 2199, 22277, 15670, 538, 18628, 267, 11404, 676, 10478, 2228, 1463, 1559, 267, 1514, 2923, 5867, 267, 610, 6998, 585, 7840, 689, 2828, 267, 1920, 267, 610, 9164, 945, 723, 1185, 2147, 960, 2944, 269, 5269, 2386, 547, 1224, 8039, 543, 2638, 16863, 1354, 1818, 513, 2110, 4289, 540, 1761, 10457, 563, 274, 269, 7638, 1518, 20340, 543, 22754, 281, 4495, 596, 723, 513, 1592, 540, 1761, 22277, 15670, 267, 13182, 741, 20340, 543, 22754, 676, 10992, 952, 789, 3180, 4143, 24501, 267, 27121, 267, 543, 6142, 4507, 269, 1411, 949, 849, 1616, 547, 2307, 873, 827, 741, 1377, 540, 2069, 267, 2866, 267, 543, 1995, 538, 22277, 14708, 563, 275, 269, 32369, 2823, 31987, 543, 8100, 281, 9105, 1142, 11134, 547, 1683, 513, 14769, 15386, 741, 3105, 960, 267, 2059, 609, 8100, 689, 2250, 7218, 269, 13555, 532, 891, 8100, 786, 2285, 596, 5813, 883, 519, 2298, 540, 741, 960, 26206, 267, 10727, 267, 543, 6075, 9547, 2157, 563, 276, 269, 21480, 29492, 281, 5590, 909, 11401, 609, 1896, 1283, 733, 11367, 547, 1865, 707, 1788, 4170, 543, 6788, 269, 4438, 891, 29492, 267, 2307, 2055, 971, 607, 912, 453, 265, 1548, 2326, 798, 596, 4363, 585, 1250, 19970, 1115, 888, 453, 265, 2052, 596, 1711, 2688, 6272, 1759, 593, 1250, 7375, 888, 453, 265, 1548, 568, 707, 6059, 15415, 585, 11264, 713, 1788, 888, 453, 265, 4024, 596, 1683, 2854, 11731, 24152, 782, 3877, 540, 519, 1788, 888, 277, 269, 14424, 536, 1749, 543, 18747, 281, 2991, 5870, 609, 2789, 22277, 16234, 267, 5635, 741, 536, 1749, 543, 18747, 2427, 8386, 20933, 269, 6333, 2188, 3564, 3902, 267, 899, 15549, 344, 3795, 267, 8244, 267, 2792, 2511, 267, 543, 2949, 3514, 609, 707, 5075, 585, 519, 1788, 563, 278, 269, 32468, 5573, 2474, 543, 1129, 513, 4579, 281, 1403, 596, 1265, 513, 5078, 22277, 20447, 267, 21907, 519, 3803, 2474, 540, 519, 6876, 267, 4180, 602, 3388, 5941, 1282, 519, 15360, 568, 3769, 538, 1603, 269, 6178, 513, 3102, 4579, 24223, 519, 9165, 540, 960, 267, 8569, 8430, 267, 21852, 267, 15549, 625, 267, 543, 824, 1271, 3344, 540, 519, 11450, 563, 279, 269, 18554, 3356, 2429, 519, 1788, 281, 13773, 3238, 2429, 519, 3003, 1184, 676, 5781, 14379, 609, 707, 6074, 22277, 20536, 269, 3629, 5955, 950, 2877, 543, 7662, 10311, 593, 519, 4567, 540, 707, 1788, 269, 1635, 9363, 7722, 267, 596, 666, 2232, 1022, 4145, 2038, 593, 543, 2226, 513, 2318, 2324, 2078, 609, 707, 22277, 20447, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 304, 783, 1881, 18370, 7476, 20083, 609, 11727, 15790, 18782, 2533, 538, 18628, 267, 11404, 563, 5649, 17352, 8450, 1018, 3755, 538, 18628, 267, 11404, 616, 6031, 827, 891, 15790, 550, 619, 563, 24718, 645, 1749, 1805, 534, 5112, 267, 11404, 15790, 18782, 2533, 786, 3346, 596, 609, 1863, 10530, 585, 707, 2816, 563, 304, 783, 1881, 2961, 335, 18782, 18370, 538, 18628, 267, 11404, 454, 8702, 1677, 10866, 14893, 14716, 1299, 27006, 10866, 3028, 267, 602, 781, 1018, 5036, 721, 6306, 689, 519, 1964, 269, 1306, 519, 3056, 7206, 28079, 538, 2353, 7345, 9351, 543, 4706, 28259, 902, 267, 649, 693, 10866, 14893, 14716, 1299, 27006, 11348, 6000, 593, 938, 2647, 2039, 540, 2533, 602, 2743, 707, 1753, 22058, 10620, 2483, 4263, 10439, 1242, 30059, 14716, 267, 596, 666, 2503, 1164, 7779, 23477, 543, 3318, 1143, 269, 5510, 1359, 513, 2039, 540, 2533, 689, 519, 10051, 267, 8602, 267, 543, 2407, 25571, 28889, 9934, 3785, 267, 547, 4190, 19970, 4479, 543, 16013, 4534, 649, 666, 6023, 1175, 827, 4376, 256, 2060, 938, 5318, 1272, 17489, 1995, 543, 11876, 2483, 297, 11586, 14716, 568, 513, 1121, 13783, 543, 4070, 3028, 8502, 609, 936, 476, 1428, 1296, 540, 1995, 543, 533, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 290, 629, 514, 4479, 257, 607, 851, 540, 834, 9816, 27516, 1299, 670, 26041, 1315, 1684, 268, 2005, 268, 7312, 1345, 1315, 2961, 335, 18782, 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, 17345, 5149, 281, 4197, 4658, 3414, 28668, 910, 634, 3509, 17435, 5014, 540, 15352, 3627, 6754, 4083, 692, 7072, 912, 5331, 2576, 945, 729, 11212, 10995, 855, 849, 6068, 4730, 5026, 267, 2576, 945, 7283, 4357, 5103, 1373, 4583, 267, 543, 2576, 945, 1223, 1921, 609, 1004, 689, 782, 15211, 540, 1272, 269, 901, 1268, 4992, 4241, 267, 1318, 286, 4270, 267, 713, 6609, 13352, 10127, 565, 808, 6759, 345, 1030, 654, 19390, 1399, 5055, 267, 1732, 1634, 607, 15352, 3627, 6754, 4083, 256, 769, 713, 1576, 1770, 267, 649, 786, 2263, 875, 10236, 5505, 1353, 1114, 3344, 540, 513, 1268, 781, 3961, 543, 4983, 1946, 15352, 3627, 6754, 4083, 729, 971, 513, 2189, 1367, 998, 519, 14485, 540, 2069, 267, 12348, 267, 3347, 267, 543, 2123, 2208, 780, 4089, 476, 272, 281, 4065, 630, 6343, 649, 1451, 994, 2304, 6605, 5505, 3494, 602, 1565, 3085, 1405, 1175, 4755, 538, 3506, 1107, 621, 666, 1491, 1747, 9170, 256, 1280, 1383, 267, 15352, 3627, 6754, 4083, 4121, 1082, 1919, 1282, 1010, 942, 607, 513, 2875, 267, 899, 6138, 543, 12416, 269, 1809, 1256, 1310, 22692, 267, 646, 4797, 547, 13599, 5128, 676, 2542, 4922, 543, 5870, 1007, 1004, 269, 1261, 2968, 5461, 538, 519, 7826, 5132, 543, 5555, 4956, 547, 1831, 513, 17308, 269, 1306, 513, 17308, 267, 646, 6594, 18381, 267, 799, 568, 519, 3909, 6697, 540, 2469, 1394, 547, 1153, 256, 1635, 6313, 2576, 781, 4690, 267, 4978, 267, 543, 2418, 267, 649, 666, 1174, 811, 827, 741, 3872, 3460, 780, 4089, 476, 273, 281, 20122, 9812, 1299, 9314, 338, 630, 6011, 649, 6108, 938, 1863, 942, 994, 5970, 596, 2479, 8068, 602, 707, 5172, 2238, 1419, 2995, 1866, 1945, 1271, 827, 596, 286, 9320, 596, 2972, 7206, 1317, 621, 2337, 596, 2769, 3054, 21176, 267, 610, 5310, 596, 2648, 13558, 1317, 621, 2636, 596, 547, 960, 1927, 609, 2319, 10863, 2509, 513, 1455, 3804, 269, 3807, 899, 721, 267, 15352, 3627, 6754, 4083, 1185, 1010, 1378, 1305, 540, 12348, 543, 4690, 269, 4014, 596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 930, 2027, 5751, 1572, 16685, 11873, 2677, 31731, 1436, 543, 3115, 549, 22422, 630, 4932, 11403, 264, 3797, 269, 1452, 5751, 3238, 3001, 1010, 4064, 1394, 543, 8521, 1247, 3206, 827, 519, 7088, 269, 901, 1131, 948, 1010, 2634, 1184, 519, 8823, 8335, 865, 789, 9327, 1405, 1118, 1864, 1745, 865, 18901, 15042, 780, 4263, 1101, 267, 18581, 2219, 621, 32131, 9490, 267, 855, 4166, 646, 1336, 602, 621, 2731, 1705, 948, 256, 5272, 942, 646, 13736, 15444, 11403, 3797, 267, 646, 8068, 602, 519, 4158, 6531, 3330, 1864, 3323, 547, 12740, 269, 3571, 4555, 2968, 20501, 267, 543, 646, 15422, 811, 6126, 8090, 609, 1010, 1920, 780, 2026, 18581, 4797, 547, 2259, 15444, 11403, 3797, 267, 646, 7691, 602, 1256, 1498, 519, 7088, 729, 1869, 851, 540, 1010, 2250, 267, 621, 1100, 3476, 6417, 875, 646, 5433, 269, 5502, 267, 646, 3459, 547, 1445, 593, 519, 1434, 1919, 538, 1010, 1272, 267, 899, 4730, 609, 1010, 2828, 543, 7836, 942, 609, 1010, 1920, 780, 4415, 3220, 269, 16737, 344, 781, 5583, 267, 18581, 4121, 602, 3025, 4422, 998, 9157, 2053, 267, 1175, 899, 1169, 3662, 538, 519, 4104, 1281, 269, 1656, 4352, 1346, 2833, 1522, 581, 2352, 267, 789, 849, 4001, 721, 1271, 4245, 269, 1635, 1565, 891, 4245, 267, 649, 666, 1332, 6793, 543, 5923, 518, 269, 2334, 781, 1946, 18581, 7012, 1405, 12922, 540, 519, 7088, 15042, 282, 3079, 267, 646, 4718, 621, 607, 606, 4316, 585, 2208, 780, 4517, 8164, 1022, 824, 3662, 3659, 538, 519, 4104, 5433, 18901, 610, 16397, 267, 18581, 1131, 2671, 1010, 1378, 1995, 543, 2995, 873, 827, 15444, 11403, 3797, 269, 8625, 267, 789, 4362, 602, 6849, 2591, 2212, 6823, 543, 5275, 948, 1500, 873, 2909, 591, 543, 2186, 518, 982, 1354, 780, 3383, 952, 2479, 596, 3068, 513, 7088, 538, 707, 1272, 267, 3314, 18581, 543, 1010, 3460, 2509, 7067, 543, 2123, 2208, 269, 3807, 899, 938, 12703, 2370, 536, 22324, 267, 3972, 3054, 543, 2307, 585, 948, 950, 596, 991, 621, 269, 17652, 2614, 267, 596, 1932, 786, 3605, 602, 4190, 1919, 666, 10836, 689, 4101, 3871, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 20524, 15444, 11403, 3797, 267, 513, 1007, 1259, 547, 1995, 2022, 32034, 2208, 543, 12115, 689, 8194, 454, 8070, 32034, 2208, 568, 513, 1826, 540, 4656, 602, 4386, 1310, 513, 15779, 2680, 950, 513, 1268, 10593, 741, 14820, 543, 3792, 1206, 513, 1114, 1935, 547, 1272, 269, 898, 568, 513, 2067, 1480, 4390, 602, 2636, 2043, 547, 12115, 543, 1451, 689, 519, 2182, 2053, 5030, 267, 543, 19951, 621, 568, 4742, 811, 543, 811, 7298, 3976, 1004, 616, 4098, 547, 2911, 827, 621, 811, 1419, 267, 4687, 930, 1769, 593, 519, 1888, 563, 1103, 713, 2376, 267, 596, 666, 1265, 3730, 1344, 827, 2022, 32034, 2208, 543, 875, 3750, 3350, 3797, 568, 4543, 6634, 540, 2550, 7753, 741, 8194, 563, 8070, 6874, 571, 9964, 12618, 281, 9502, 1299, 11957, 454, 8070, 32034, 2208, 729, 1101, 3964, 607, 513, 3069, 538, 519, 4571, 268, 1960, 271, 338, 676, 1079, 16895, 609, 623, 8461, 338, 267, 9400, 23413, 525, 14024, 543, 18039, 2836, 327, 1735, 269, 4340, 547, 519, 1977, 4284, 8344, 5948, 267, 519, 3069, 6585, 602, 968, 15161, 945, 22036, 5626, 6560, 1739, 14488, 666, 1419, 1294, 2318, 9240, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25787, 1315, 31499, 1315, 29960, 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, 1012, 2558, 15635, 730, 7743, 13106, 23585, 1546, 1260, 6570, 609, 4856, 21975, 19336, 692, 1103, 713, 3296, 267, 649, 786, 1865, 519, 6388, 540, 513, 1505, 585, 12719, 519, 959, 15635, 730, 7743, 13106, 23585, 1546, 1260, 6570, 630, 303, 7495, 264, 1210, 519, 9756, 5119, 269, 901, 1505, 568, 1419, 1031, 538, 1239, 2079, 543, 5365, 4393, 267, 2523, 538, 519, 2361, 540, 5714, 6384, 585, 4389, 19195, 9781, 780, 2162, 2776, 7528, 28987, 692, 6524, 649, 4685, 883, 519, 3009, 267, 1577, 781, 2327, 649, 723, 519, 2556, 8021, 8704, 543, 16865, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5228, 1085, 27251, 7456, 1400, 326, 1104, 552, 662, 454, 7884, 2162, 634, 2387, 3944, 319, 6396, 692, 763, 2387, 3944, 319, 1505, 568, 513, 851, 540, 513, 1362, 602, 15824, 519, 959, 15635, 730, 623, 7495, 269, 634, 1505, 3217, 513, 2582, 4661, 267, 2387, 311, 12452, 799, 568, 513, 476, 273, 291, 11885, 5044, 8204, 519, 5119, 547, 581, 10920, 12723, 269, 634, 1505, 7024, 1614, 11885, 14249, 281, 519, 959, 15635, 730, 2451, 1606, 532, 983, 10321, 5119, 267, 519, 959, 15635, 730, 13737, 2418, 5044, 267, 543, 519, 959, 15635, 730, 1318, 1606, 532, 983, 10321, 5119, 780, 2162, 15350, 26659, 692, 763, 1505, 5956, 609, 513, 19585, 3948, 602, 11974, 2436, 519, 2387, 338, 1511, 8548, 25514, 319, 14487, 540, 519, 1362, 3236, 568, 1305, 547, 2387, 12148, 18269, 1403, 621, 568, 267, 519, 1505, 3096, 513, 3965, 268, 9953, 574, 1242, 1935, 547, 5173, 519, 9756, 5119, 1384, 3499, 7090, 454, 604, 1582, 4732, 1511, 8548, 25514, 912, 825, 1351, 337, 815, 5286, 269, 24105, 263, 27729, 14352, 311, 17482, 314, 272, 3910, 2473, 17482, 314, 272, 28413, 825, 585, 1775, 267, 1775, 5334, 333, 777, 538, 26246, 11583, 11053, 2187, 1038, 585, 795, 267, 737, 5334, 333, 777, 538, 26246, 11583, 11053, 2187, 2018, 1351, 337, 5157, 267, 795, 316, 815, 5286, 23357, 1676, 9217, 5334, 333, 777, 267, 737, 5334, 333, 777, 994, 7884, 1607, 1935, 21410, 519, 9756, 5119, 3693, 30150, 267, 799, 6971, 519, 3965, 11640, 693, 519, 1942, 540, 2799, 19106, 942, 780, 2252, 2387, 338, 1511, 8548, 25514, 319, 568, 2387, 16178, 12452, 519, 1505, 21410, 519, 9756, 5119, 1210, 513, 5119, 8691, 5106, 1384, 3499, 7090, 454, 12828, 912, 825, 1351, 337, 815, 2473, 11053, 31715, 11583, 994, 7884, 1607, 1935, 568, 5488, 855, 3340, 811, 3965, 780, 2162, 29626, 519, 661, 3394, 11161, 543, 661, 3394, 27523, 692, 9202, 267, 519, 1505, 21410, 519, 27744, 543, 14802, 27523, 540, 519, 9756, 5119, 1210, 519, 2387, 324, 662, 319, 1599, 689, 519, 2387, 2675, 27251, 7456, 1400, 326, 319, 9074, 1384, 3499, 7090, 454, 324, 12127, 267, 552, 580, 341, 815, 552, 662, 6262, 22741, 994, 7884, 763, 2387, 324, 662, 319, 1599, 7024, 1079, 14249, 281, 519, 27744, 543, 519, 14802, 27523, 540, 519, 3403, 5119, 269, 634, 27744, 616, 8120, 538, 26799, 1931, 267, 543, 519, 7222, 14802, 27523, 616, 8120, 538, 519, 1482, 1931, 780, 2162, 590, 15659, 519, 661, 3394, 11161, 543, 661, 3394, 27523, 692, 763, 1505, 1287, 12204, 519, 27744, 543, 14802, 27523, 538, 27312, 1931, 1384, 3499, 7090, 454, 23912, 16182, 343, 815, 5286, 269, 16911, 677, 16216, 12127, 264, 11468, 18737, 272, 2639, 324, 12127, 815, 552, 12127, 314, 23912, 16182, 343, 2639, 324, 580, 341, 815, 552, 580, 341, 18020, 10288, 16182, 343, 2639, 7884, 763, 2387, 16911, 677, 319, 1599, 7024, 519, 17523, 602, 1131, 4990, 519, 5044, 538, 26799, 1931, 269, 1635, 14253, 532, 519, 5044, 609, 2387, 11468, 18737, 272, 316, 12452, 649, 9258, 519, 1931, 540, 519, 17523, 267, 3927, 18570, 519, 5044, 538, 27312, 1931, 780, 2162, 2558, 15635, 566, 692, 763, 1505, 1287, 959, 15635, 919, 519, 13737, 2418, 5044, 1759, 593, 513, 3593, 20452, 21205, 269, 634, 959, 15635, 566, 568, 5340, 676, 519, 2387, 318, 13700, 15635, 566, 319, 1505, 267, 799, 568, 711, 3254, 1934, 269, 634, 1267, 540, 519, 959, 15635, 566, 568, 519, 7584, 540, 519, 959, 15635, 730, 5119, 1384, 3499, 7090, 454, 338, 815, 5286, 28460, 16216, 12127, 314, 324, 12127, 3436, 476, 271, 7481, 17213, 815, 1582, 11519, 13700, 15635, 566, 11583, 267, 521, 994, 7884, 2162, 17270, 519, 3525, 525, 692, 7661, 267, 519, 1505, 1939, 525, 519, 12331, 540, 519, 959, 15635, 730, 5119, 1384, 3499, 7090, 454, 324, 580, 341, 815, 552, 580, 341, 18020, 552, 12127, 3436, 476, 271, 2639, 308, 815, 2473, 31715, 16216, 580, 341, 264, 1315, 521, 454, 7884, 763, 12331, 616, 519, 2451, 1606, 532, 983, 10321, 540, 519, 959, 15635, 730, 5119, 267, 28348, 676, 519, 4009, 3597, 540, 519, 7222, 13737, 2418, 780, 2162, 4825, 9506, 519, 11778, 692, 763, 1505, 7024, 519, 959, 15635, 730, 2451, 1606, 532, 983, 10321, 5119, 267, 519, 959, 15635, 730, 13737, 2418, 5044, 267, 543, 519, 959, 15635, 730, 1318, 1606, 532, 983, 10321, 5119, 1384, 3499, 7090, 454, 8873, 772, 18020, 2433, 17213, 3910, 521, 11468, 17213, 2639, 7884, 4322, 2164, 666, 581, 1031, 585, 2417, 2079, 267, 971, 607, 4389, 19195, 9781, 610, 1239, 13496, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 3944, 4311, 267, 2473, 2187, 1038, 8173, 1038, 2558, 15635, 730, 623, 7495, 7229, 609, 9756, 5119, 780, 1038, 2433, 12407, 11885, 269, 526, 6783, 2473, 281, 519, 5119, 547, 31693, 563, 1038, 2433, 8873, 281, 519, 959, 15635, 730, 2451, 1606, 532, 983, 10321, 5119, 267, 519, 959, 15635, 730, 454, 2018, 13737, 2418, 5044, 267, 519, 959, 15635, 730, 1318, 1606, 532, 983, 10321, 5119, 563, 1038, 2433, 337, 6943, 281, 11885, 269, 526, 6783, 267, 11885, 269, 526, 6783, 267, 11885, 269, 526, 6783, 454, 1038, 29185, 1038, 952, 1582, 4732, 1511, 8548, 25514, 912, 2018, 1351, 337, 815, 5286, 269, 24105, 263, 27729, 14352, 311, 17482, 314, 272, 3910, 2473, 17482, 314, 272, 28413, 2018, 585, 1775, 267, 1775, 5334, 333, 777, 538, 26246, 11583, 11053, 2187, 3546, 585, 795, 267, 737, 5334, 333, 777, 538, 26246, 11583, 11053, 2187, 7386, 1351, 337, 5157, 267, 795, 316, 815, 5286, 23357, 1676, 9217, 5334, 333, 777, 267, 737, 5334, 333, 777, 2020, 1038, 3116, 912, 2018, 1351, 337, 815, 2473, 11053, 31715, 11583, 2020, 1038, 552, 12127, 267, 552, 580, 341, 815, 552, 662, 6262, 22741, 2020, 1038, 10288, 16182, 343, 815, 5286, 269, 16911, 677, 16216, 12127, 264, 11468, 18737, 272, 2639, 1038, 552, 12127, 815, 552, 12127, 314, 23912, 16182, 343, 2639, 1038, 552, 580, 341, 815, 552, 580, 341, 18020, 10288, 16182, 343, 2639, 1038, 521, 815, 5286, 28460, 16216, 12127, 314, 324, 12127, 3436, 476, 271, 7481, 1038, 7584, 815, 1582, 11519, 13700, 15635, 566, 11583, 267, 521, 2020, 1038, 1948, 12337, 12331, 454, 1038, 552, 580, 341, 815, 552, 580, 341, 18020, 552, 12127, 3436, 476, 271, 2639, 1038, 772, 815, 2473, 31715, 16216, 580, 341, 264, 1315, 521, 692, 1038, 2132, 772, 18020, 2433, 17213, 3910, 521, 11468, 17213, 2639, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 5149, 476, 274, 269, 274, 281, 24006, 1722, 12565, 23800, 281, 589, 17714, 3414, 5384, 543, 6611, 692, 7072, 692, 5331, 3054, 10707, 1394, 538, 942, 1247, 11981, 519, 29413, 635, 325, 2176, 540, 2413, 29319, 269, 901, 2189, 1995, 568, 1100, 3476, 16876, 547, 519, 7706, 540, 2257, 5708, 267, 7064, 547, 17195, 7841, 2951, 602, 10905, 519, 27559, 540, 1686, 609, 4207, 1566, 18834, 269, 769, 713, 1770, 267, 649 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 649, 2322, 519, 1871, 538, 2387, 337, 271, 319, 630, 1467, 476, 5325, 264, 543, 1287, 649, 1289, 2387, 2399, 3645, 319, 630, 1467, 476, 4366, 1040, 901, 568, 10912, 2387, 2399, 3645, 263, 273, 264, 18269, 27539, 1934, 519, 10518, 568, 8900, 2387, 26514, 18269, 26419, 621, 3884, 1406, 8900, 267, 855, 585, 1018, 621, 6927, 547, 27353, 621, 568, 269, 1306, 594, 1767, 1657, 267, 1142, 11852, 540, 513, 1599, 630, 319, 10852, 319, 5288, 2387, 2399, 3645, 319, 264, 20362, 922, 1378, 10518, 1169, 942, 789, 616, 1572, 269, 3371, 11852, 2495, 1169, 942, 649, 798, 2387, 4565, 319, 547, 519, 1599, 563, 1892, 3767, 938, 1982, 568, 538, 1899, 476, 1556, 269, 31962, 2387, 337, 271, 319, 568, 476, 273, 563, 1892, 1284, 7903, 2387, 331, 337, 319, 543, 2387, 337, 271, 319, 5196, 519, 10518, 269, 3776, 10518, 630, 5228, 1283, 547, 1524, 264, 568, 1631, 2387, 314, 273, 267, 2232, 540, 1899, 476, 7906, 316, 319, 891, 616, 2387, 337, 271, 319, 543, 2387, 331, 337, 319, 6606, 630, 6050, 476, 1556, 268, 1321, 994, 1892, 31962, 267, 2387, 337, 271, 319, 568, 476, 273, 267, 649, 5635, 621, 609, 476, 271, 630, 1467, 476, 1691, 1916, 1892, 3973, 649, 7936, 952, 621, 568, 1875, 25179, 547, 2387, 529, 5332, 517, 14706, 12452, 865, 649, 1439, 693, 1899, 476, 736, 269, 630, 1467, 476, 1428, 994, 1892, 3767, 649, 10208, 476, 272, 547, 2387, 337, 271, 12452, 799, 3762, 721, 2387, 337, 271, 319, 609, 476, 272, 269, 8074, 281, 519, 1283, 540, 519, 10518, 1869, 814, 519, 968, 2181, 2365, 892, 2387, 337, 271, 319, 602, 729, 476, 273, 269, 630, 1467, 476, 736, 994, 1892, 3767, 649, 1289, 2387, 2399, 3645, 319, 1586, 855, 713, 942, 2387, 337, 271, 319, 568, 476, 272, 267, 865, 713, 568, 2387, 2399, 3645, 263, 272, 23375, 630, 1467, 476, 2641, 994, 1892, 3767, 649, 979, 1586, 547, 1899, 476, 1556, 269, 8074, 602, 1631, 2387, 337, 271, 319, 568, 476, 272, 563, 1892, 1284, 7903, 2387, 331, 337, 319, 543, 2387, 337, 271, 319, 5196, 519, 10518, 269, 3776, 10518, 630, 5228, 1283, 547, 1524, 264, 568, 1631, 2387, 314, 272, 267, 2232, 540, 1899, 476, 2190, 267, 476, 272, 267, 2232, 540, 1899, 476, 7906, 316, 319, 630, 6050, 476, 1556, 268, 1321, 994, 1892, 31962, 267, 2387, 337, 271, 319, 568, 476, 272, 267, 649, 5635, 621, 609, 476, 271, 630, 1467, 476, 1691, 1916, 1892, 3973, 649, 7936, 952, 621, 568, 1875, 25179, 547, 2387, 529, 5332, 517, 14706, 12452, 865, 649, 1439, 693, 1899, 476, 736, 269, 630, 1467, 476, 1428, 994, 1892, 3767, 649, 10208, 476, 272, 547, 2387, 337, 271, 12452, 799, 3762, 721, 2387, 337, 271, 319, 609, 476, 271, 269, 8074, 281, 519, 1283, 540, 519, 10518, 1869, 814, 519, 968, 2181, 2365, 892, 2387, 337, 271, 319, 602, 729, 476, 272, 563, 1892, 3767, 649, 1289, 27353, 1586, 855, 713, 942, 2387, 337, 271, 319, 568, 476, 271, 267, 865, 713, 568, 2387, 2399, 3645, 263, 271, 23375, 630, 1467, 476, 2641, 994, 1892, 3767, 649, 979, 1586, 547, 1899, 476, 1556, 269, 8074, 602, 1631, 2387, 337, 271, 319, 568, 476, 271, 563, 1892, 1284, 7903, 2387, 331, 337, 319, 543, 2387, 337, 271, 319, 5196, 519, 10518, 269, 3776, 10518, 630, 5228, 1283, 547, 1524, 264, 568, 1631, 1496, 271, 267, 2232, 540, 1899, 476, 2190, 267, 476, 272, 267, 2232, 540, 1899, 476, 2190, 267, 476, 273, 267, 2232, 540, 1899, 476, 7906, 316, 630, 6050, 476, 1556, 268, 1321, 994, 1892, 31962, 267, 2387, 337, 271, 319, 568, 476, 271, 267, 649, 5635, 621, 609, 476, 271, 630, 1467, 476, 1691, 1916, 1892, 1284, 798, 711, 7936, 1317, 2387, 337, 271, 319, 568, 4642, 267, 865, 649, 2887, 28443, 693, 1899, 476, 1626, 630, 1467, 476, 1428, 994, 1892, 1284, 1305, 2387, 337, 271, 319, 547, 581, 476, 272, 630, 1467, 476, 1626, 994, 1892, 1284, 630, 684, 935, 3431, 264, 7936, 547, 1439, 267, 547, 1899, 476, 2764, 630, 1467, 476, 1704, 994, 1892, 1284, 798, 2387, 4944, 7602, 494, 838, 1341, 476, 275, 12452, 713, 1797, 602, 649, 723, 1402, 6244, 519, 1283, 540, 938, 10518, 602, 1631, 5654, 899, 2387, 314, 5417, 816, 540, 1899, 476, 2190, 267, 476, 272, 267, 2232, 540, 1899, 476, 2190, 267, 476, 273, 267, 2232, 540, 1899, 476, 7906, 316, 319, 630, 1467, 476, 2764, 994, 1892, 1284, 1224, 519, 1283, 540, 519, 10518, 630, 810, 561, 337, 568, 1631, 2232, 540, 1899, 476, 2190, 264, 543, 1287, 649, 798, 838, 7602, 494, 838, 1341, 476, 275, 269, 3767, 938, 10518, 5654, 899, 2387, 314, 272, 267, 2232, 540, 1899, 476, 2190, 267, 476, 273, 267, 2232, 540, 1899, 476, 7906, 316, 319, 630, 1467, 476, 3066, 994, 1892, 1284, 14892, 2387, 321, 343, 561, 337, 319, 799, 3217, 721, 547, 1899, 476, 2190, 269, 630, 1467, 476, 1789, 994, 1892, 3767, 649, 4452, 519, 1283, 540, 519, 10518, 883, 2387, 337, 272, 18269, 1924, 2387, 337, 272, 319, 568, 1631, 476, 272, 269, 8074, 602, 519, 10518, 568, 2451, 4805, 267, 1175, 1224, 267, 711, 1402, 6244, 269, 1924, 621, 568, 1869, 2387, 314, 272, 267, 2232, 540, 1899, 476, 2190, 267, 476, 273, 267, 2232, 540, 1899, 476, 7906, 316, 319, 630, 1467, 476, 2190, 994, 1892, 1284, 798, 2387, 337, 271, 2608, 678, 272, 18269, 31962, 2387, 337, 271, 319, 568, 476, 272, 1317, 649, 1305, 621, 1657, 538, 1899, 476, 1626, 269, 2387, 337, 272, 319, 568, 476, 272, 1317, 649, 723, 1175, 16041, 519, 1283, 540, 519, 10518, 799, 729, 476, 272, 269, 634, 1267, 568, 476, 272, 543, 621, 568, 6740, 538, 2387, 337, 271, 18269, 630, 1467, 476, 1839, 994, 1892, 8074, 602, 1631, 649, 2887, 28443, 547, 1439, 267, 547, 1899, 476, 2764, 563, 1892, 1284, 798, 2387, 4944, 7602, 494, 838, 1341, 476, 275, 12452, 713, 1797, 602, 649, 723, 1402, 6244, 519, 1283, 540, 938, 10518, 602, 1631, 5654, 899, 2387, 314, 5417, 816, 540, 1899, 476, 2190, 267, 476, 273, 267, 2232, 540, 1899, 476, 7906, 316, 319, 630, 1467, 476, 2764, 994, 1892, 1284, 1224, 519, 1283, 540, 519, 10518, 630, 810, 2387, 331, 337, 319, 568, 1631, 2232, 540, 1899, 476, 2190, 264, 543, 1287, 649, 798, 2387, 4944, 7602, 494, 838, 1341, 476, 275, 18269, 3767, 938, 10518, 5654, 899, 2387, 314, 273, 267, 2232, 540, 1899, 476, 7906, 316, 319, 630, 1467, 476, 3066, 994, 1892, 1284, 14892, 2387, 321, 343, 561, 337, 319, 799, 3217, 721, 547, 1899, 476, 2190, 269, 630, 1467, 476, 1789, 994, 1892, 3767, 649, 4452, 519, 1283, 540, 519, 10518, 883, 2387, 337, 272, 18269, 1924, 2387, 337, 272, 319, 568, 1631, 476, 273, 269, 8074, 602, 519, 10518, 568, 2451, 4805, 267, 1175, 1224, 267, 711, 1402, 6244, 269, 1924, 621, 568, 1869, 2387, 314, 273, 267, 2232, 540, 1899, 476, 7906, 316, 319, 630, 1467, 476, 2190, 994, 1892, 1284, 798, 2387, 337, 271, 2608, 678, 272, 18269, 31962, 2387, 337, 271, 319, 568, 476, 272, 1317, 649, 1305, 621, 1657, 538, 1899, 476, 1839, 269, 2387, 337, 272, 319, 568, 476, 273, 1317, 649, 723, 1175, 16041, 519, 1283, 540, 519, 10518, 799, 729, 476, 273, 269, 634, 1267, 568, 476, 273, 543, 621, 568, 6740, 538, 2387, 337, 271, 18269, 630, 1467, 476, 1839, 994, 1892, 8074, 602, 1631, 649, 2887, 998, 547, 1439, 267, 547, 1899, 476, 2764, 563, 1892, 1284, 798, 2387, 4944, 7602, 494, 838, 1341, 476, 275, 12452, 713, 1797, 602, 649, 723, 1402, 6244, 519, 1283, 540, 938, 10518, 602, 1631, 5654, 899, 2387, 314, 5417, 816, 540, 1899, 476, 7906, 316, 319, 630, 1467, 476, 2764, 994, 1892, 1284, 1224, 519, 1283, 540, 519, 10518, 630, 810, 2387, 331, 337, 319, 568, 1631, 2232, 540, 1899, 476, 2190, 264, 543, 1287, 649, 798, 2387, 4944, 7602, 494, 838, 1341, 476, 275, 18269, 3767, 938, 10518, 5654, 899, 2387, 26514, 319, 630, 1467, 476, 3066, 994, 1892, 1284, 14892, 2387, 321, 343, 561, 337, 319, 799, 3217, 721, 547, 1899, 476, 7906, 269, 630, 1467, 476, 1789, 994, 1892, 1656, 1631, 649, 616, 1394, 519, 1292, 1599, 538, 1899, 476, 7906, 780, 28775, 713, 942, 594, 6557, 20501, 269, 1684, 711, 19292, 547, 2307, 780, 30747, 14621, 267, 23011, 692, 1892, 26778, 3081, 1384, 14188, 596, 865, 1454, 269, 901, 5587, 5809, 3388, 9985, 269, 7442, 3098, 585, 1250, 10539, 4505, 780, 1892, 23011, 12113, 17243, 25592, 5451, 10722, 14162, 3081, 1384, 14187, 547, 917, 267, 7064, 585, 707, 9639, 2439, 1607, 3135, 3096, 13019, 1143, 564, 547, 2569, 28417, 269, 6258, 875, 707, 6085, 1239, 568, 9268, 269, 0, 258, 4911, 983, 24665, 566, 692, 1012, 4911, 983, 24665, 566, 16754, 910, 17817, 1299, 3752, 1386, 6201, 692, 1103, 9764, 5163, 267, 16070, 10231, 568, 519, 2557, 609, 799, 519, 16070, 6991, 1109, 577, 5190, 609, 942, 269, 898, 568, 849, 5219, 547, 607, 519, 24364, 10231, 269, 898, 568, 513, 6152, 7274, 267, 602, 568, 267, 621, 814, 1312, 9588, 543, 4287, 780, 17951, 983, 10231, 568, 20922, 676, 4399, 10401, 259, 563, 2252, 4399, 9064, 259, 529, 519, 16070, 12761, 267, 4399, 18652, 259, 529, 519, 16070, 6991, 543, 4399, 10401, 8961, 519, 16070, 10231, 267, 1287, 3248, 7445, 10401, 815, 1422, 2765, 13997, 323, 315, 18652, 7684, 2410, 346, 19049, 3686, 815, 1422, 2765, 13997, 346, 323, 317, 273, 4153, 9064, 7684, 2410, 346, 323, 346, 339, 317, 273, 3686, 4151, 630, 553, 282, 4399, 18652, 815, 1422, 2765, 13997, 323, 24592, 7684, 2410, 346, 19049, 22288, 994, 763, 1657, 4542, 3947, 519, 31302, 16070, 10231, 563, 2252, 4399, 18773, 1422, 18652, 259, 529, 519, 1689, 538, 16070, 6991, 936, 513, 942, 8884, 4399, 18773, 512, 8961, 1287, 3328, 16070, 10231, 568, 2016, 676, 912, 7445, 10401, 815, 1422, 2765, 346, 3189, 18773, 1422, 18652, 7684, 2410, 3189, 18773, 512, 3686, 14204, 1103, 519, 2013, 540, 7833, 10047, 267, 519, 3328, 543, 31302, 2418, 14626, 728, 563, 2005, 568, 6829, 538, 519, 4559, 540, 2234, 4882, 273, 1109, 528, 32494, 829, 2034, 16302, 780, 7078, 476, 272, 454, 2252, 519, 16070, 6991, 540, 513, 1560, 538, 24364, 5163, 2242, 689, 4399, 2765, 3189, 7032, 25452, 273, 4151, 2784, 4882, 547, 4399, 2765, 13997, 274, 19570, 7684, 2410, 275, 4151, 538, 476, 271, 269, 275, 521, 269, 4855, 519, 16070, 10231, 563, 11405, 912, 21851, 18652, 9041, 272, 348, 815, 1422, 2765, 3189, 7032, 25452, 273, 348, 2784, 4882, 12101, 12101, 12101, 267, 3189, 18652, 9041, 273, 348, 815, 1422, 2765, 13997, 274, 19570, 7684, 2410, 275, 348, 2784, 4882, 12101, 12101, 12101, 12101, 18773, 512, 815, 476, 271, 269, 275, 20867, 338, 12101, 12101, 12101, 12101, 10401, 815, 7790, 14204, 7445, 10401, 815, 1422, 2765, 346, 3189, 18773, 1422, 18652, 7684, 2410, 3189, 18773, 512, 3686, 815, 1422, 2765, 13997, 3189, 18652, 9041, 273, 348, 734, 3189, 18652, 9041, 272, 3686, 2410, 3189, 18773, 512, 3686, 815, 1422, 2765, 346, 3189, 2765, 13997, 274, 19570, 7684, 2410, 275, 348, 734, 315, 2765, 3189, 7032, 25452, 273, 3686, 2410, 346, 271, 269, 275, 3686, 815, 1422, 2765, 13997, 276, 19570, 7684, 2410, 279, 348, 2784, 270, 346, 338, 317, 273, 10592, 7078, 476, 273, 454, 763, 16070, 12761, 540, 606, 1843, 538, 24364, 5163, 5673, 593, 942, 512, 2687, 547, 519, 6935, 454, 7445, 9064, 815, 476, 273, 19570, 22773, 346, 339, 317, 274, 348, 734, 315, 7032, 2715, 339, 317, 273, 348, 1341, 476, 274, 19570, 4534, 277, 8961, 1141, 4399, 9064, 259, 529, 538, 32494, 543, 512, 538, 7643, 269, 4855, 922, 16070, 10231, 693, 512, 815, 476, 273, 521, 563, 11405, 912, 2171, 723, 281, 4399, 9064, 815, 476, 273, 19570, 22773, 346, 339, 317, 274, 348, 734, 315, 7032, 22773, 346, 339, 317, 273, 348, 1341, 476, 274, 19570, 22773, 339, 734, 277, 259, 2234, 454, 17951, 983, 6991, 281, 4399, 18652, 815, 1422, 2765, 13997, 323, 24592, 7684, 2410, 346, 19049, 3686, 815, 476, 277, 19570, 22773, 346, 339, 317, 273, 348, 734, 273, 19570, 22773, 339, 1341, 476, 274, 19570, 259, 2234, 4882, 454, 17951, 983, 10231, 281, 4399, 10401, 815, 1422, 2765, 13997, 323, 315, 18652, 7684, 2410, 346, 19049 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 270, 274, 6661, 1107, 272, 267, 799, 25389, 519, 10421, 780, 4131, 781, 1205, 1394, 547, 5981, 543, 16888, 781, 7045, 256, 4635, 741, 3972, 344, 24275, 26732, 267, 789, 4729, 1585, 8424, 540, 3515, 1759, 593, 2016, 4834, 269, 2060, 707, 9241, 9715, 1983, 267, 3313, 2436, 1142, 6292, 568, 6252, 267, 13902, 267, 610, 9444, 676, 6313, 741, 19527, 543, 10992, 952, 519, 1587, 11224, 910, 272, 585, 13902, 2665, 269, 898, 781, 782, 827, 9301, 3270, 543, 1620, 4296, 1063, 21370, 11269, 543, 5817, 6310, 3741, 780, 9617, 1589, 267, 13215, 713, 5578, 1522, 2097, 538, 13561, 14693, 950, 21264, 532, 12357, 6835, 6456, 1369, 1835, 1170, 29589, 532, 8955, 21870, 1862, 2107, 6148, 1175, 4543, 596, 1265, 519, 20125, 2619, 998, 1016, 3118, 10473, 1282, 2361, 15143, 256, 23657, 1259, 267, 7249, 17894, 593, 30196, 2943, 1776, 4494, 540, 15821, 4898, 1633, 256, 0, 8620, 606, 2502, 543, 3015, 552, 19543, 9074, 593, 1412, 31955, 10789, 476, 273, 324, 3299, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 563, 2171, 616, 1603, 593, 3184, 1412, 30791, 12793, 8339, 769, 1880, 267, 3296, 1412, 30791, 12793, 8339, 1284, 723, 2907, 4988, 519, 1739, 1770, 538, 713, 3296, 281, 1412, 11847, 6974, 532, 12430, 12793, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 11847, 6974, 532, 12430, 12793, 3299, 1412, 23005, 1456, 6787, 513, 12430, 9577, 1772, 23207, 267, 28206, 2084, 267, 610, 19693, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 11847, 6974, 532, 12430, 12793, 3299, 1412, 23005, 1456, 6787, 513, 12430, 9577, 1772, 23207, 267, 28206, 2084, 267, 610, 19693, 3299, 1412, 11328, 31147, 32437, 607, 513, 15580, 540, 7827, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 11847, 6974, 532, 12430, 12793, 3299, 1412, 23005, 1456, 6787, 513, 12430, 9577, 1772, 23207, 267, 28206, 2084, 267, 610, 19693, 3299, 1412, 11328, 31147, 32437, 607, 513, 15580, 540, 7827, 3299, 1412, 16240, 543, 3955, 31147, 606, 17817, 585, 513, 12430, 9577, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 11847, 6974, 532, 12430, 12793, 3299, 1412, 23005, 1456, 6787, 513, 12430, 9577, 1772, 23207, 267, 28206, 2084, 267, 610, 19693, 3299, 1412, 11328, 31147, 32437, 607, 513, 15580, 540, 7827, 3299, 1412, 16240, 543, 3955, 31147, 606, 17817, 585, 513, 12430, 9577, 3299, 1412, 9556, 9934, 7464, 28131, 10819, 609, 12430, 12793, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 11847, 6974, 532, 12430, 12793, 3299, 1412, 11847, 6974, 532, 12430, 12793, 3299, 1412, 23005, 1456, 6787, 513, 12430, 9577, 1772, 23207, 267, 28206, 2084, 267, 610, 19693, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 11847, 6974, 532, 12430, 12793, 3299, 1412, 11847, 6974, 532, 12430, 12793, 8339, 3503, 513, 1007, 1770, 11331, 1412, 23005, 1456, 6787, 20514, 616, 23155, 610, 3131, 12993, 262, 780, 21156, 540, 513, 2757, 1837, 1935, 267, 946, 513, 1650, 2861, 2239, 547, 2491, 519, 1523, 269, 8347, 547, 1384, 268, 3680, 2930, 3822, 543, 1459, 519, 2093, 538, 513, 3551, 267, 17187, 3159, 547, 8141, 7279, 543, 9305, 547, 519, 2833, 540, 513, 7820, 5304, 563, 268, 3417, 7317, 2609, 899, 2219, 6901, 543, 1483, 3734, 7653, 269, 634, 3804, 568, 547, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 563, 268, 1684, 711, 946, 2606, 2453, 971, 607, 834, 342, 4372, 547, 713, 1770, 257, 693, 519, 4098, 610, 8753, 519, 1439, 269, 1684, 711, 946, 2592, 269, 0, 6092, 5149, 281, 634, 22032, 540, 11193, 6468, 692, 7072, 912, 5331, 2713, 1282, 513, 942, 950, 1148, 267, 2257, 267, 543, 3408, 941, 28480, 899, 2760, 1354, 256, 901, 1974, 267, 1634, 607, 519, 11193, 267, 3576, 1747, 1063, 519, 476, 1691, 628, 543, 476, 1704, 628, 5553, 269, 4438, 713, 942, 267, 1082, 6909, 2021, 1500, 741, 7436, 593, 1686, 269, 4653, 267, 649, 786, 1451, 827, 1018, 1272, 729, 899, 585, 891, 7415, 21031, 543, 2263, 741, 10781, 780, 4089, 476, 272, 281, 28064, 5020, 585, 11193, 6468, 454, 7628, 519, 11193, 267, 1034, 2021, 5030, 1360, 8335, 982, 789, 798, 2221, 269, 3509, 6170, 741, 2395, 2921, 1416, 540, 10820, 267, 9870, 1453, 267, 543, 4543, 609, 3484, 960, 269, 21989, 1419, 4121, 1983, 899, 5986, 267, 22927, 267, 543, 2542, 693, 513, 1762, 2085, 269, 1717, 267, 5763, 1512, 3885, 1522, 6494, 741, 20766, 547, 1153, 547, 1353, 5396, 971, 607, 2575, 267, 4654, 267, 543, 3332, 780, 7078, 281, 2913, 781, 2743, 21965, 632, 5709, 328, 267, 945, 729, 4535, 883, 513, 14547, 7969, 1920, 1282, 519, 11193, 269, 4014, 1352, 7012, 1405, 4847, 547, 7390, 6280, 1317, 1352, 729, 513, 8004, 267, 1200, 4651, 24458, 602, 1352, 4607, 5140, 4357, 23468, 269, 21965, 2968, 1134, 268, 951, 539, 538, 1585, 5396, 267, 1519, 6128, 267, 6138, 267, 543, 1256, 2067, 9443, 2439, 4089, 476, 273, 281, 11554, 6468, 538, 519, 11193, 454, 5278, 2021, 5249, 3544, 519, 1753, 1282, 519, 11193, 267, 2523, 952, 789, 4769, 1406, 723, 8152, 27512, 610, 18971, 547, 1489, 873, 20019, 269, 1358, 1223, 1831, 5159, 267, 5830, 267, 22278, 267, 610, 4739, 1873, 1580, 269, 2368, 1256, 8678, 3909, 2950, 607, 562, 12584, 269, 1452, 2324, 2021, 2356, 4371, 2539, 3613, 9850, 6009, 3379, 547, 2367, 855, 1869, 7307, 547, 3565, 3648, 547, 2486, 780, 7078, 281, 3203, 28087, 807, 22918, 3796, 14024, 729, 835, 540, 519, 1906, 4775, 26719, 1282, 519, 11193, 269, 6736, 6849, 3875, 2591, 1813, 547, 1200, 4008, 267, 1352, 6591, 6284, 585, 1200, 10875, 11247, 269, 4173, 10367, 13269, 2178, 543, 12703, 13400, 2021, 267, 799, 1305, 1200, 6306, 689, 824, 5159, 540, 1200, 942, 780, 4089, 476, 274, 281, 25587, 11193, 6468, 543, 4256, 19793, 557, 906, 454, 6624, 11121, 2021, 2451, 23543, 602, 3136, 547, 3310, 938, 1158, 2221, 269, 1280, 1383, 267, 10348, 10906, 594, 12199, 4789, 585, 936, 2185, 5756, 267, 3056, 1200, 2197, 998, 4101, 2053, 1247, 5009, 2069, 543, 6575, 269, 11531, 267, 31485, 12756, 27584, 344, 12848, 8585, 1014, 14612, 547, 3162, 3013, 547, 1353, 7786, 543, 2371, 267, 6721, 14262, 1382, 602, 4359, 3621, 1620, 780, 12244, 281, 5994, 596, 616, 513, 19784, 1282, 519, 11193, 267, 25461, 609, 5967, 532, 2901, 10348, 10906, 594, 610, 12756, 27584, 344, 12848, 8585, 1014, 269, 3503, 1524, 1614, 2055, 596, 1131, 2307, 1142, 4807, 543, 1946, 1346, 2055, 1719, 596, 780, 6962, 912, 305, 10718, 2021, 5185, 2189, 9465, 2943, 829, 572, 30099, 547, 3035, 30493, 538, 1585, 4610, 269, 3245, 15194, 2477, 547, 14027, 3621, 1702, 267, 891, 13009, 4565, 5074, 8951, 6961, 602, 4896, 666, 4734, 741, 1665, 593, 1686, 1765, 7224, 2339, 519, 6381, 269, 1635, 1565, 827, 741, 2729, 543, 18517, 267, 649, 1932, 666, 1265, 6667, 543, 8404, 547, 3914, 1007, 15627, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9349, 700, 1478, 8249, 267, 31876, 585, 19536, 543, 23255, 454, 347, 12709, 1315, 5623, 518, 781, 454, 8368, 540, 12937, 454, 288, 16336, 6115, 781, 7734, 3559, 325, 454, 763, 14520, 628, 540, 5181, 454, 7818, 15094, 279, 4343, 276, 1691, 274, 267, 1269, 3607, 269, 6734, 630, 14551, 16225, 1070, 476, 280, 1321, 653, 454, 7818, 15094, 279, 4343, 276, 1428, 271, 267, 1269, 2537, 269, 4962, 630, 7809, 16225, 994, 7818, 15094, 279, 4343, 276, 1724, 277, 267, 1269, 275, 269, 4200, 28632, 267, 8940, 269, 600, 7571, 2593, 454, 763, 14520, 628, 540, 5181, 5205, 519, 2984, 540, 1079, 1114, 855, 1713, 2021, 269, 9986, 14746, 543, 20153, 773, 2661, 538, 1114, 10600, 267, 13197, 1114, 1919, 2394, 835, 1554, 12556, 6770, 873, 1927, 269, 1284, 616, 1101, 5189, 547, 9986, 14746, 269, 2701, 1185, 513, 3339, 6689, 538, 19903, 1662, 790, 1141, 1352, 887, 1372, 1200, 28886, 19564, 2059, 519, 5397, 3118, 538, 1200, 554, 32528, 267, 1373, 2366, 547, 519, 8378, 6300, 543, 3257, 782, 519, 8912, 1919, 3214, 1200, 2085, 1705, 269, 9986, 14746, 740, 1819, 1200, 3993, 3687, 22448, 269, 634, 2078, 519, 1079, 1185, 1044, 17681, 269, 2290, 3364, 594, 25343, 538, 3687, 22448, 729, 1200, 6015, 267, 5898, 543, 875, 1352, 5645, 9887, 269, 2701, 729, 513, 1909, 2203, 585, 9986, 14746, 543, 6026, 1200, 513, 2603, 540, 1272, 4245, 269, 2701, 5280, 9986, 14746, 538, 1200, 5289, 1272, 543, 1620, 930, 1272, 4978, 1352, 9408, 337, 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, 22032, 540, 11193, 6468, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 3778, 1315, 11193, 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, 589, 14044, 7402, 3300, 2334, 932, 6548, 18421, 692, 296, 2760, 2808, 8885, 606, 7376, 267, 1577, 4805, 2576, 945, 15874, 2413, 1148, 269, 1809, 2063, 1032, 267, 594, 16686, 2390, 513, 3059, 1148, 14266, 1247, 19855, 2228, 1282, 27579, 269, 898, 729, 1287, 950, 1250, 5133, 593, 1148, 4625, 17146, 267, 7064, 547, 606, 6397, 7237, 538, 519, 5691, 1158, 780, 4263, 1101, 267, 594, 729, 26617, 827, 875, 2029, 1223, 3986, 519, 1995, 540, 13156, 1148, 2094, 594, 4312, 2141, 1044, 9864, 547, 8106, 10367, 269, 1717, 267, 594, 4956, 547, 2285, 621, 513, 2119, 543, 9411, 519, 5691, 19922, 269, 1703, 941, 3001, 2592, 267, 7317, 19698, 267, 543, 1256, 15138, 11623, 1141, 596, 5433, 899, 851, 540, 519, 11247, 3294, 269, 594, 6170, 3108, 3695, 1114, 4773, 267, 19832, 676, 519, 5876, 543, 5647, 7604, 1078, 998, 891, 1007, 2923, 780, 3080, 1554, 267, 1247, 10188, 835, 540, 519, 5691, 15225, 267, 1945, 9058, 5949, 269, 1306, 594, 22283, 883, 606, 10380, 11331, 834, 22069, 3363, 2437, 594, 10393, 1336, 8885, 3068, 3562, 19904, 609, 1776, 21233, 1107, 693, 2547, 267, 602, 781, 1018, 594, 2219, 7620, 269, 1284, 1312, 8389, 2763, 267, 31325, 693, 1142, 824, 689, 6587, 5011, 540, 519, 5496, 269, 3973, 1352, 20493, 543, 530, 8491, 269, 31928, 26938, 267, 594, 8120, 1200, 28551, 269, 1677, 1250, 9983, 267, 1352, 3323, 6158, 547, 803, 2439, 2171, 3533, 7691, 649, 7948, 1405, 5873, 1142, 824, 1813, 547, 2930, 7687, 267, 865, 649, 3459, 17511, 6835, 1394, 543, 8521, 1210, 519, 10004, 1599, 269, 4173, 2012, 729, 15609, 267, 513, 2875, 689, 12670, 4974, 5386, 6575, 269, 2701, 3838, 875, 1454, 1352, 25343, 519, 5610, 540, 2029, 543, 1148, 543, 875, 621, 4847, 585, 3152, 5191, 540, 4082, 269, 3776, 6643, 2095, 539, 24672, 267, 4904, 609, 17409, 267, 4030, 267, 543, 6612, 585, 519, 6575, 780, 7021, 942, 267, 938, 5691, 13341, 2968, 519, 5031, 540, 1250, 3018, 269, 1284, 8268, 9118, 26847, 1927, 267, 7234, 1169, 4062, 602, 9575, 938, 3007, 269, 6736, 1373, 5195, 6306, 267, 649, 4646, 513, 2620, 4276, 1759, 593, 8994, 2463, 543, 1620, 269, 16828, 267, 649, 4956, 547, 12840, 593, 513, 1788, 1107, 513, 3059, 8858, 16471, 3308, 6575, 609, 6965, 267, 26399, 1079, 9583, 19635, 10600, 780, 12507, 2195, 2663, 267, 1310, 3875, 3735, 5991, 697, 23730, 7886, 543, 12483, 1652, 3646, 267, 649, 6368, 30792, 938, 5137, 281, 834, 24552, 538, 18289, 1701, 898, 4607, 2565, 1035, 8010, 543, 13631, 5215, 540, 8436, 5001, 269, 4658, 26916, 922, 5169, 1275, 267, 5898, 267, 543, 2702, 547, 18427, 4664, 7429, 1022, 2757, 1106, 540, 1148, 789, 1185, 4810, 1354, 780, 9961, 713, 3460, 267, 594, 4362, 602, 2029, 4769, 1405, 27298, 519, 1871, 540, 1148, 282, 3079, 267, 621, 9450, 922, 20030, 543, 7399, 269, 5047, 267, 1250, 11505, 609, 15609, 6026, 803, 602, 4296, 16637, 2168, 6302, 267, 18445, 602, 3838, 2833, 543, 18653, 666, 3142, 1004, 1927, 538, 519, 1034, 6397, 2081, 269, 1924, 9811, 267, 2029, 1281, 1764, 519, 8226, 267, 21200, 267, 543, 7664 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 518, 936, 3368, 1039, 518, 888, 2005, 568, 1031, 585, 519, 3483, 540, 4946, 1079, 2582, 3787, 2338, 609, 513, 4163, 269, 4935, 267, 2407, 1039, 518, 814, 519, 2702, 547, 1685, 519, 1840, 540, 1614, 11353, 563, 1692, 1082, 19235, 616, 1031, 538, 2407, 1039, 518, 888, 288, 2407, 1039, 518, 666, 581, 8045, 1210, 8370, 715, 13263, 19235, 269, 769, 31844, 782, 11378, 540, 513, 2407, 1039, 518, 849, 12679, 1206, 782, 540, 922, 17016, 267, 799, 666, 581, 1031, 538, 519, 1374, 540, 3728, 678, 21451, 2275, 14019, 1039, 619, 267, 1317, 972, 568, 1100, 991, 547, 538, 3200, 519, 4163, 563, 1432, 616, 519, 5413, 543, 11393, 540, 3368, 2407, 1039, 518, 888, 295, 2788, 1039, 619, 723, 1100, 9165, 540, 4946, 519, 4163, 3787, 4611, 689, 519, 1840, 540, 3105, 11353, 269, 634, 1483, 6066, 7653, 4125, 4946, 519, 2789, 2338, 540, 11353, 799, 3112, 581, 12913, 1210, 3368, 1039, 518, 269, 898, 568, 711, 5078, 585, 22107, 8172, 585, 3818, 19229, 23937, 563, 1432, 568, 3368, 327, 2788, 1039, 518, 543, 2407, 1039, 518, 888, 295, 2788, 1520, 1457, 568, 1031, 585, 519, 3483, 540, 4946, 1079, 2582, 3787, 2338, 269, 21009, 1039, 619, 723, 1100, 9165, 540, 4946, 519, 4163, 3787, 4611, 689, 519, 1840, 540, 3105, 11353, 269, 1677, 7753, 713, 2721, 3724, 267, 2407, 1039, 518, 2501, 883, 1404, 269, 769, 713, 2376, 267, 649, 786, 1865, 827, 9509, 1520, 1457, 563, 4692, 513, 2407, 1039, 518, 5547, 581, 8045, 609, 1079, 3368, 1039, 619, 888, 763, 3977, 590, 568, 606, 12327, 268, 3036, 1063, 519, 3403, 589, 543, 519, 3368, 268, 9554, 590, 9331, 3977, 645, 269, 634, 595, 744, 7473, 786, 581, 3020, 1152, 952, 1022, 540, 519, 1079, 11378, 856, 540, 519, 1614, 616, 670, 26996, 610, 693, 7954, 476, 272, 269, 4935, 267, 513, 2407, 1039, 518, 5547, 666, 581, 8045, 609, 519, 948, 540, 1079, 3368, 1039, 518, 11387, 563, 1432, 568, 519, 3017, 1063, 543, 10766, 543, 3368, 1039, 518, 888, 4407, 519, 3977, 5833, 676, 6730, 10766, 568, 519, 4163, 5833, 676, 1840, 269, 21009, 1520, 1457, 568, 2036, 24676, 7954, 5547, 799, 8591, 1079, 476, 272, 19229, 9704, 269, 634, 3368, 1039, 518, 7472, 513, 2040, 540, 519, 1079, 11378, 269, 9509, 1039, 518, 568, 2036, 24676, 9266, 5547, 602, 15824, 606, 1840, 5106, 593, 1614, 835, 19229, 9352, 2338, 563, 1692, 798, 596, 946, 513, 2407, 1039, 518, 888, 17359, 1520, 1457, 269, 2060, 519, 948, 540, 713, 1826, 540, 3090, 267, 835, 666, 1039, 1079, 11353, 1927, 267, 2921, 513, 4163, 689, 519, 1985, 2539, 1931, 540, 9588, 543, 11488, 513, 4163, 547, 519, 1985, 2362, 1931, 540, 9588, 269, 769, 513, 2780, 267, 585, 513, 3818, 19229, 5106, 267, 1142, 3787, 1590, 581, 6719, 676, 513, 2407, 1039, 518, 543, 1590, 581, 3773, 8195, 269, 0, 1432, 616, 519, 1079, 2010, 540, 4238, 2359, 888, 23330, 725, 5004, 11150, 5565, 1455, 2010, 616, 4398, 14573, 543, 7145, 14573, 563, 1432, 616, 10512, 3252, 540, 513, 1870, 888, 763, 3804, 540, 4238, 2359, 568, 547, 948, 11694, 4398, 1369, 606, 3919, 267, 2333, 519, 3919, 779, 7607, 267, 2333, 12434, 1247, 4227, 3790, 267, 543, 2327, 519, 2504, 543, 6765, 540, 1164, 7779, 2472, 610, 2533, 602, 9290, 6800, 685, 2115, 563, 1432, 616, 519, 1079, 1292, 3853, 540, 4238, 2359, 888, 20062, 2969, 4959, 20525, 2207, 25972, 10790, 2793, 294, 30121, 286, 5272, 1870, 568, 7307, 998, 1614, 2101, 3252, 281, 8804, 267, 6725, 267, 543, 4238, 2359, 563, 1432, 616, 519, 476, 275, 2010, 540, 4238, 2359, 888, 17457, 4238, 2359, 25856, 1472, 2185, 6436, 281, 1870, 1184, 2699, 30472, 630, 289, 11266, 1070, 11028, 14808, 9092, 5663, 1949, 267, 14520, 590, 7950, 267, 543, 10709, 5663, 563, 1432, 616, 519, 1079, 2010, 540, 3028, 4238, 888, 306, 16291, 20491, 9537, 454, 268, 1306, 2106, 28942, 835, 17574, 563, 268, 1306, 2106, 28942, 7662, 270, 24978, 563, 268, 1306, 2106, 28942, 547, 15222, 748, 563, 1432, 616, 519, 1079, 2101, 3252, 540, 5106, 2359, 888, 2171, 666, 10646, 5722, 1292, 3252, 540, 5106, 2359, 538, 519, 4853, 13055, 281, 4058, 267, 20319, 267, 11449, 267, 9013, 267, 2298, 1852, 543, 11891, 1852, 563, 1432, 616, 519, 1292, 4238, 2359, 888, 23330, 725, 2359, 3322, 4058, 267, 12180, 267, 543, 27459, 2358, 3157, 267, 543, 1118, 2556, 9283, 585, 2362, 20656, 269, 634, 11941, 538, 519, 4948, 4238, 723, 547, 1489, 519, 2754, 779, 7580, 3853, 267, 865, 789, 616, 28263, 676, 2620, 2079, 543, 6482, 540, 519, 1699, 3157, 563, 1432, 616, 519, 476, 277, 1883, 3252, 540, 1870, 4238, 888, 23744, 267, 519, 3670, 6198, 2127, 540, 1870, 2359, 4125, 4640, 267, 6725, 267, 8804, 267, 1480, 2200, 267, 2029, 543, 3937, 267, 543, 4238, 269, 4475, 267, 782, 1870, 24990, 1058, 13404, 593, 15388, 543, 8499, 1620, 891, 2127, 607, 789, 9305, 547, 519, 1367, 1870, 563, 1432, 616, 519, 1614, 4238, 3252, 538, 519, 1870, 888, 2467, 616, 1614, 1114, 2010, 540, 1870, 4238, 268, 3028, 267, 23335, 2358, 267, 543, 5663, 269, 1280, 513, 1870, 547, 1599, 5265, 543, 1587, 1947, 267, 11639, 1590, 1174, 799, 1870, 5106, 20383, 609, 741, 2754, 543, 519, 9021, 621, 14122, 563, 1432, 616, 1806, 540, 4238, 538, 1870, 888, 2507, 19853, 6093, 1870, 4238, 1522, 1331, 912, 268, 11352, 2359, 563, 268, 5680, 1374, 1535, 2918, 2086, 282, 1646, 563, 268, 22802, 2359, 563, 268, 654, 732, 327, 17639, 543, 20106, 563, 1432, 616, 519, 476, 275, 3252, 540, 4238, 2359, 888, 23192, 4857, 676, 28741, 674, 599, 565, 607, 2947, 2609, 267, 972, 616, 1631, 2185, 4122, 7608, 3252, 540, 2359, 602, 7854, 891, 2556, 1983, 281, 4058, 267, 12180, 267, 3056, 267, 543, 9013, 269, 0, 2690, 513, 1970, 24289, 12630, 7382, 540, 476, 1789, 17529, 610, 1447, 267, 513, 18789, 13803, 2910, 273, 19720, 666, 581, 513, 2241, 267, 1942, 15807, 1259, 547, 7110, 2910, 273, 1510, 519, 5092, 610, 15677, 540, 513, 1164, 24289, 14764, 269, 898, 779, 4061, 1360, 2442, 585, 4130, 12630, 13688, 267, 2523, 585, 6864, 541, 1235, 945, 616, 1175, 3478, 883, 519, 12630, 7382, 15908, 563, 4322, 1949, 616, 20522, 547, 1628, 543, 5266, 2653, 547, 2226, 267, 4352, 519, 13803, 2528, 7848, 2115, 547, 581, 18589, 1117, 21237, 269, 1280, 13688, 476, 1015, 17529, 543, 3677, 519, 1981, 540, 30072, 568, 8766, 267, 855, 585, 24519, 13688, 267, 649, 8910, 18973, 1210, 513, 4130, 11480, 543, 3843, 519, 14764, 856, 1354, 4946, 3165, 267, 607, 606, 30072, 568, 20248, 2009, 267, 543, 621, 779, 2352, 547, 6895, 610, 1852, 519, 2910, 273, 3977, 689, 713, 14764, 563, 6524, 4098, 267, 5531, 519, 1739, 2326, 912, 5629, 596, 723, 9715, 519, 2556, 2326, 267, 596, 2461, 4712, 547, 1628, 707, 19720, 912, 2467, 616, 1896, 1797, 540, 886, 6748, 2910, 273, 883, 707, 7382, 689, 707, 18789, 19720, 267, 930, 540, 799, 616, 1454, 811, 3608, 982, 1866, 912, 288, 18789, 13803, 2910, 273, 19720, 7472, 2910, 273, 607, 513, 10894, 676, 28237, 540, 13803, 18829, 540, 4006, 269, 1703, 616, 513, 1906, 1114, 12753, 540, 4006, 547, 13803, 267, 543, 596, 666, 4603, 547, 1265, 1018, 1568, 1655, 585, 596, 267, 855, 649, 4363, 519, 1739, 547, 2226, 606, 3742, 267, 11931, 1533, 540, 2910, 273, 2504, 912, 29002, 811, 13803, 786, 1267, 538, 2362, 2910, 273, 2504, 267, 855, 519, 4006, 786, 849, 581, 10057, 811, 6385, 267, 971, 602, 519, 7848, 1590, 581, 8719, 811, 1419, 269, 901, 1223, 849, 1291, 547, 513, 2910, 273, 30072, 267, 2523, 585, 4130, 13688, 269, 19279, 342, 1301, 1216, 568, 5227, 547, 948, 5000, 13803, 2208, 267, 855, 1118, 2386, 602, 519, 1216, 568, 711, 3905, 267, 607, 713, 786, 6146, 519, 13803, 2336, 1607, 568, 513, 5266, 2241, 1062, 547, 1118, 543, 2226, 267, 855, 972, 616, 513, 1906, 31452, 543, 1919, 547, 2057, 281, 0, 8368, 540, 12937, 454, 1692, 1419, 1281, 6778, 32431, 21074, 888, 300, 339, 32431, 18962, 814, 1185, 693, 2547, 476, 275, 2101, 21074, 633, 5712, 1282, 519, 2250, 476, 1428, 267, 1822, 1296, 269, 634, 2063, 1614, 7018, 1369, 519, 2250, 476, 5197, 271, 1296, 689, 642, 757, 1164, 593, 519, 17335, 1166, 1678, 543, 3812, 12074, 602, 941, 7856, 5097, 547, 519, 5045, 543, 7178, 2059, 519, 9995, 344, 543, 2098, 580, 345, 698, 8933, 563, 12663, 24398, 32431, 21074, 1586, 888, 300, 870, 32431, 3788, 606, 3742, 18962, 2443, 2495, 602, 621, 786, 21074, 1586, 269, 1656, 950, 621, 1281, 267, 621, 1223, 25793, 1662, 16095, 6503, 338, 711, 7429, 1346, 689, 21896, 779, 19607, 5964, 1642, 22859, 714, 18962, 538, 476, 2735, 276, 563, 3674, 24398, 32431, 3742, 18962, 888, 4407, 711, 21074, 532, 267, 6778, 32431, 2982, 4191, 602, 621, 568, 513, 8647, 267, 3742, 18962, 269, 6778, 32431, 7472, 7928, 16767, 267, 543, 9252, 543, 15027, 9362, 616, 19501, 538, 519, 1858, 1472, 9197, 831, 9412, 2282, 519, 21895, 563, 1432, 1131, 4755, 952, 24398, 32431, 1011, 10757, 888, 288, 1713, 20349, 540, 6778, 32431, 267, 971, 607, 606, 20349, 540, 23419, 546, 2345, 602, 12900, 547, 1106, 7510, 549, 743, 2880, 8928, 543, 561, 1695, 1513, 267, 1131, 771, 2897, 1896, 8536, 7264, 543, 2014, 5479, 1673, 20683, 8397, 3441, 547, 5989, 543, 5656, 563, 2691, 729, 519, 2063, 942, 24398, 32431, 30192, 888, 347, 14157, 4754, 545, 9095, 1475, 290, 2444, 1228, 26439, 545, 20211, 2008, 347, 8310, 20349, 1475, 2641, 5181, 476, 5908, 276, 547, 5130, 476, 5908, 277, 2008, 2691, 1705, 24398, 853, 4477, 839, 21074, 888, 9802, 476, 1240, 267, 476, 2735, 271, 454, 2735, 271, 661, 8306, 540, 6778, 853, 269, 4477, 839, 270, 9359, 7389, 454, 9213, 538, 2257, 281, 2201, 2904, 476, 1240, 267, 476, 2735, 271, 267, 6778, 853, 269, 4477, 839, 23384, 513, 21472, 543, 14686, 20349, 267, 24254, 519, 4102, 26949, 728, 2479, 6592, 269, 2423, 17067, 538, 519, 1032, 267, 5215, 540, 1507, 16767, 267, 5887, 532, 9252, 267, 543, 513, 3395, 4439, 613, 31732, 24851, 476, 14596, 3952, 630, 9610, 544, 264, 8612, 602, 29351, 729, 8375, 538, 519, 18962, 563, 3674, 24398, 853, 4477, 839, 3742, 888, 300, 870, 853, 269, 4477, 839, 568, 519, 1034, 3742, 18962, 538, 519, 733, 27631, 2136, 2276, 267, 799, 2306, 621, 513, 4241, 1747, 547, 1353, 543, 1451, 827, 563, 3674, 24398, 32431, 15765, 476, 1708, 272, 888, 300, 870, 32431, 6763, 513, 7381, 476, 272, 267, 13301, 3952, 1164, 282, 519, 1164, 15038, 568, 1753, 547, 476, 1321, 3957, 22260, 543, 6777, 26753, 269, 2755, 2475, 14899, 1915, 3278, 519, 18962, 607, 968, 13607, 1113, 569, 3742, 5608, 519, 7823, 568, 2808, 1217, 958, 26862, 585, 1631, 563, 12663, 24398, 14175, 1512, 21074, 4166, 888, 300, 870, 14175, 1512, 568, 1969, 532, 827, 607, 621, 814, 936, 519, 2063, 3368, 2173, 11669, 1296, 267, 865, 782, 2963, 5267, 602, 519, 18962, 786, 3136, 547, 21074, 267, 1332, 267, 543, 12900, 563, 3674, 700, 1695, 541, 513, 23419, 888, 2691, 23419, 11199, 14186, 9944, 513, 27224, 610, 8928, 936, 6777, 543, 4672, 267, 15835, 4248, 689, 519, 4672, 543, 6777, 666, 1267, 538, 2484, 23568, 561, 1695, 1513, 269, 1403, 23419, 13788, 513, 1560, 540, 1216, 610, 1216, 13788, 513, 23419, 8546, 267, 519, 1216, 949, 14974, 3423, 1836, 543, 2014, 606, 23292, 17643, 540, 25183, 838, 2660, 936, 513, 2647, 1858, 563, 12441, 6778, 32431, 21074, 476, 5002, 278, 888, 763, 5767, 5634, 21074, 633, 2680, 7018, 538, 4864, 476, 5002, 278, 269, 634, 22260, 593, 519, 7823, 779, 5580, 19527, 949, 581, 513, 2707, 540, 5732, 5906, 561, 1695, 1513, 950, 519, 7823, 1985, 11199, 14186, 563, 12441, 24398, 853, 4477, 839, 30192, 538, 476, 1220, 279, 888, 13900, 839, 568, 2048, 516, 12737, 532, 685, 634, 2063, 942, 6778, 853, 269, 4477, 839, 30192, 729, 538, 476, 1220, 279, 269, 0, 291, 2905, 3377, 543, 1713, 2621, 616, 711, 4988, 13974, 538, 1114, 2477, 543, 676, 1585, 2923, 19093, 269, 2368, 13685, 543, 12602, 616, 3808, 547, 581, 9763, 538, 824, 2477, 998, 513, 24388, 540, 519, 2078, 1063, 519, 1079, 2829, 269, 901, 1557, 786, 1865, 875, 2475, 3377, 2923, 1867, 2621, 602, 616, 2921, 1747, 538, 824, 2477, 269, 13018, 267, 1079, 4930, 10503, 519, 3795, 540, 2621, 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, 291, 1751, 1299, 24054, 538, 4065, 630, 14701, 264, 568, 513, 1514, 268, 3286, 823, 20218, 1982, 602, 6663, 693, 3246, 7855, 609, 13710, 4485, 547, 2152, 1644, 547, 4763, 543, 9698, 538, 623, 268, 1626, 1565, 5054, 269, 20043, 786, 948, 3610, 267, 16984, 267, 1153, 5234, 267, 543, 824, 7855, 547, 1174, 875, 4763, 543, 9698, 12211, 547, 1565, 6436, 267, 5718, 267, 543, 27380, 269, 3776, 15834, 1935, 547, 4763, 543, 9698, 786, 3382, 519, 28963, 540, 9659, 267, 5198, 267, 4008, 267, 4638, 10066, 267, 1514, 1362, 267, 543, 6710, 543, 14405, 593, 15834, 1382, 538, 2069, 563, 23430, 281, 4065, 8889, 267, 9257, 543, 15557, 454, 8340, 856, 1018, 596, 991, 547, 1376, 707, 3498, 1184, 563, 9596, 827, 3498, 21852, 1299, 2838, 2326, 563, 18800, 938, 24875, 543, 13927, 3928, 676, 4081, 1032, 610, 676, 2165, 269, 0, 2750, 2075, 2358, 666, 948, 1453, 543, 4079, 609, 513, 2039, 540, 1072, 2042, 267, 513, 1072, 17493, 814, 1767, 563, 763, 5753, 779, 2657, 8416, 1767, 519, 1072, 540, 9002, 543, 1762, 1004, 729, 711, 607, 1434, 607, 602, 540, 4079, 855, 972, 941, 1082, 2081, 538, 799, 3635, 1223, 948, 873, 563, 763, 17493, 1767, 602, 1247, 519, 5177, 1185, 606, 8377, 6433, 267, 538, 2474, 540, 519, 1297, 540, 1453, 609, 7392, 476, 273, 3987, 267, 519, 5177, 729, 593, 3950, 547, 10726, 5245, 538, 2474, 543, 2661, 3476, 563, 10527, 1034, 1455, 1259, 538, 799, 1004, 609, 7392, 476, 272, 3987, 666, 2661, 3476, 568, 998, 3635, 2223, 519, 17493, 779, 8783, 10324, 267, 3220, 15537, 6519, 267, 1767, 563, 14071, 2461, 2965, 693, 513, 1448, 1141, 3635, 814, 1831, 513, 4105, 851, 540, 938, 4948, 2729, 585, 1082, 540, 938, 1762, 1004, 3034, 5978, 5796, 547, 3237, 543, 1416, 3464, 568, 547, 5000, 741, 1453, 547, 979, 585, 513, 1490, 7416, 3802, 267, 2196, 610, 4783, 267, 543, 547, 1205, 930, 3635, 563, 10527, 17493, 1568, 609, 3506, 543, 2199, 8128, 547, 6318, 4656, 540, 519, 2956, 540, 3635, 585, 1453, 563, 7804, 6519, 1767, 602, 519, 5177, 779, 2949, 8377, 2557, 1185, 15468, 689, 476, 3374, 829, 1298, 538, 476, 1220, 278, 547, 476, 2190, 829, 1298, 713, 1032, 563, 3891, 1767, 519, 5177, 1223, 3035, 513, 8902, 267, 811, 3742, 2486, 952, 621, 3576, 922, 1126, 8377, 15435, 12517, 3034, 2005, 568, 711, 1175, 827, 4227, 8377, 267, 855, 621, 568, 849, 827, 5466, 6689, 8377, 2223, 3220, 6519, 1767, 563, 288, 3650, 540, 519, 717, 736, 21895, 538, 645, 5142, 321, 2033, 593, 11728, 267, 3220, 6519, 24016, 519, 3486, 2146, 547, 948, 10994, 519, 8377, 6433, 676, 9870, 4656, 540, 2635, 4189, 543, 3635, 3034, 2252, 649, 616, 3978, 827, 7303, 6689, 8377, 267, 649, 991, 547, 581, 3168, 693, 891, 6689, 8377, 8623, 12515, 607, 513, 10862, 585, 1857, 1072, 267, 2864, 982, 2519, 593, 513, 1906, 1360, 1804, 1426, 543, 20892, 3549, 2223, 646, 1767, 269, 27398, 11320, 2231, 0, 24993, 281, 5437, 476, 1240, 267, 476, 1708, 271, 476, 279, 281, 2764, 281, 2412, 993, 454, 4002, 11728, 267, 7073, 320, 9307, 2164, 540, 1480, 8062, 593, 519, 6669, 621, 814, 2919, 609, 2475, 2817, 23941, 540, 2657, 269, 634, 8062, 1336, 519, 6669, 476, 11463, 269, 276, 829, 1298, 2500, 267, 543, 519, 23318, 2501, 2395, 1310, 26172, 6500, 1185, 5950, 4693, 2164, 6029, 476, 3445, 829, 1298, 7145, 538, 922, 1378, 6669, 267, 2919, 538, 5698, 609, 12713, 18199, 3663, 6363, 657, 684, 1912, 12609, 563, 763, 7073, 320, 543, 26172, 6500, 10074, 946, 519, 1482, 2029, 267, 1759, 593, 28034, 10717, 267, 610, 22328, 269, 6270, 10074, 1118, 946, 540, 519, 28034, 10717, 6675, 602, 2995, 519, 1560, 779, 2281, 1018, 5946, 547, 1628, 563, 763, 22328, 267, 538, 713, 2013, 267, 568, 27573, 547, 2995, 519, 2281, 547, 30712, 519, 21782, 3940, 540, 519, 11452, 16568, 17336, 268, 273, 267, 799, 3123, 13044, 268, 866, 269, 898, 568, 519, 21782, 3940, 2443, 799, 5526, 607, 26389, 593, 519, 2627, 540, 519, 11452, 2443, 602, 4384, 919, 519, 1184, 540, 3968, 282, 621, 2636, 519, 3644, 547, 23309, 2281, 267, 1310, 799, 621, 4422, 593, 547, 21613, 269, 9462, 497, 352, 18124, 4112, 7134, 568, 1631, 593, 1855, 5586, 1090, 454, 288, 11452, 6669, 1759, 593, 22328, 267, 2899, 22280, 883, 519, 1560, 267, 786, 4051, 519, 1560, 779, 2281, 547, 1711, 12215, 540, 519, 21782, 3940, 269, 769, 2490, 267, 713, 568, 4397, 547, 5401, 519, 4761, 2281, 547, 1711, 12489, 547, 4339, 621, 563, 8138, 2675, 686, 828, 8307, 12267, 454, 4322, 12489, 786, 2611, 538, 519, 1973, 543, 4339, 519, 1483, 3644, 952, 543, 950, 621, 3468, 338, 519, 1480, 1560, 563, 8448, 2010, 540, 6669, 1331, 519, 1875, 3146, 2364, 908, 10194, 6152, 7121, 267, 606, 1383, 540, 799, 568, 519, 6669, 2919, 676, 10228, 543, 8330, 571, 313, 523, 29132, 563, 763, 6669, 3096, 513, 1114, 3644, 2443, 538, 519, 10228, 5025, 14259, 313, 523, 29132, 2013, 267, 513, 18604, 4528, 540, 513, 1455, 4411, 3644, 630, 23565, 21552, 264, 602, 3468, 338, 32315, 2763, 525, 2443, 547, 4163, 1175, 519, 3009, 547, 1118, 519, 21782, 3940, 267, 899, 513, 18858, 13568, 7504, 563, 763, 20722, 21552, 267, 799, 814, 1044, 16220, 9168, 865, 602, 621, 3112, 21613, 538, 3425, 267, 786, 4283, 519, 1591, 543, 5305, 519, 3009, 547, 1118, 1152, 519, 21782, 3940, 563, 763, 1560, 779, 4761, 1062, 568, 4397, 547, 21028, 519, 21782, 3940, 607, 513, 5732, 5739, 4914, 6219, 267, 543, 6238, 2679, 12489, 1996, 621, 563, 9827, 538, 4112, 7134, 1923, 1323, 16869, 4112, 1622, 281, 1215, 547, 1224, 1583, 657, 584, 557, 903, 454, 10190, 972, 616, 30737, 17300, 3644, 10074, 1500, 676, 1210, 5536, 540, 519, 13044, 268, 866, 3644, 602, 941, 7166, 267, 1818, 873, 8572, 547, 3468, 610, 21613, 282, 3940, 1016, 22780, 10074, 602, 946, 513, 851, 540, 519, 3644, 630, 4944, 833, 3940, 1586, 267, 538, 713, 2013, 264, 547, 1628, 513, 6098, 4761, 3210, 2509, 282, 543, 5027, 10074, 602, 946, 16220, 22041, 5027, 6675, 602, 267, 1586, 267, 616, 27573, 609, 519, 18970, 1996, 799, 519, 4761, 3210, 568, 547, 581, 3710, 11859, 454, 6930, 497, 352, 15012, 938, 1855, 5586, 1090, 8756, 630, 763, 4095, 18124, 264, 585, 519, 5767, 3377, 543, 10311, 454, 268, 634, 4095, 18124, 3896, 814, 1044, 15951, 24321, 2894, 585, 922, 17258, 543, 3972, 10290, 1465, 676, 5240, 31384, 267, 513, 2518, 3028, 602, 3928, 3377, 2959, 585, 741, 4760, 2065, 4441, 269, 0, 5715, 639, 14860, 10340, 454, 763, 1473, 639, 14860, 10340, 729, 4683, 538, 1915, 543, 519, 1004, 540, 602, 942, 941, 4708, 15962, 269, 1358, 5795, 519, 1158, 922, 9998, 4872, 267, 4884, 4058, 267, 6189, 538, 6149, 12775, 1062, 267, 20341, 267, 7047, 338, 781, 8798, 547, 10244, 519, 11668, 3196, 540, 2831, 538, 1931, 547, 948, 519, 3425, 563, 268, 1548, 729, 3632, 12818, 543, 875, 729, 621, 1271, 585, 4498, 1952, 753, 888, 268, 14674, 13713, 1148, 543, 818, 669, 3538, 675, 1282, 519, 1473, 639, 9503, 10340, 454, 268, 4208, 941, 519, 20910, 1271, 888, 268, 1548, 941, 519, 2101, 23909, 540, 1473, 639, 1004, 888, 268, 14674, 519, 10571, 543, 610, 23788, 540, 1473, 639, 1004, 454, 268, 1548, 941, 519, 1114, 1797, 540, 31768, 585, 1473, 639, 14860, 1004, 286, 0, 9199, 767, 532, 689, 835, 2995, 584, 545, 4541, 547, 1776, 630, 21955, 9370, 264, 538, 519, 6418, 3859, 1062, 267, 519, 645, 788, 328, 8624, 558, 2692, 16785, 814, 1175, 6192, 922, 2034, 8038, 2421, 540, 922, 22638, 3077, 267, 22358, 269, 26812, 3215, 1007, 2592, 540, 519, 4541, 14191, 547, 519, 6129, 269, 12846, 2370, 1634, 267, 519, 30673, 630, 28158, 2230, 8116, 264, 543, 808, 1314, 320, 630, 30153, 2230, 8116, 264, 2230, 16785, 645, 788, 328, 8624, 558, 2692, 814, 2899, 1586, 2097, 2673, 547, 22358, 269, 13628, 267, 4873, 476, 2537, 267, 729, 1010, 2034, 8038, 2421, 540, 519, 10545, 4541, 538, 519, 9891, 3590, 630, 275, 267, 279, 3199, 12919, 538, 8006, 1070, 1010, 3803, 10278, 269, 1280, 519, 4090, 267, 519, 6928, 2640, 689, 14965, 6351, 267, 519, 2034, 540, 3670, 9709, 267, 607, 1134, 607, 602, 540, 519, 3047, 630, 517, 576, 264, 543, 19026, 630, 13512, 823, 1070, 1354, 29780, 3294, 883, 10739, 538, 476, 1708, 276, 543, 4358, 922, 3621, 13753, 269, 634, 3381, 1657, 6770, 1927, 476, 6321, 2592, 3144, 593, 519, 8038, 827, 19939, 3764, 1310, 621, 5293, 14191, 547, 519, 2627, 540, 22358, 267, 1175, 476, 1220, 12919, 2476, 269, 634, 6337, 540, 519, 1079, 3126, 941, 9676, 609, 606, 8884, 540, 476, 1428, 547, 476, 736, 7643, 950, 519, 14361, 729, 1063, 476, 280, 736, 543, 476, 277, 267, 271, 4200, 12919, 5111, 267, 585, 519, 1101, 8254, 630, 10157, 4456, 268, 273, 1070, 543, 1063, 476, 7176, 275, 543, 476, 277, 267, 3707, 12919, 267, 585, 519, 2034, 630, 10157, 4456, 268, 476, 274, 1040, 769, 519, 32215, 267, 649, 5431, 1896, 2609, 10362, 547, 519, 2230, 16785, 269, 1306, 585, 519, 4541, 3294, 267, 649, 3605, 1360, 4190, 3877, 540, 922, 10058, 543, 2189, 8323, 338, 267, 971, 607, 519, 5266, 2487, 13891, 1380, 344, 1764, 28188, 267, 11303, 676, 922, 30275, 320, 269, 1548, 1281, 519, 1101, 8038, 2421, 540, 22358, 676, 519, 645, 788, 328, 8624, 558, 2692, 16785, 2995, 721, 286, 20684, 676, 1520, 31151, 3213, 742, 6839, 3370, 593, 5239, 476, 2641, 267, 476, 1708, 272, 634, 6419, 543, 28634, 1604, 1472, 22358, 729, 25541, 676, 645, 788, 328, 8624, 558, 2692, 1282, 519, 8038, 2421, 593, 5239, 476, 272, 543, 476, 273, 267, 476, 1708, 272, 267, 1247, 519, 634, 4541, 781, 14965, 7485, 729, 5433, 676, 922, 5787, 18852, 269, 25080, 543, 5787, 6248, 1239, 941, 10736, 883, 3280, 6119, 269, 1306, 649, 4080, 538, 519, 2376, 2630, 267, 645, 788, 328, 8624, 558, 2692, 1500, 922, 1101, 8038, 2421, 540, 22358, 593, 519, 3781, 540, 5239, 476, 272, 547, 476, 273, 269, 769, 1840, 547, 519, 6337, 649, 4843, 547, 596, 267, 519, 16402, 11219, 17702, 2230, 16785, 630, 2464, 288, 543, 808, 1314, 320, 264, 9715, 1585, 1239, 593, 519, 4541, 267, 1312, 593, 922, 6419, 543, 9325, 1604, 543, 593, 922, 14965, 2361, 269, 29312, 5484, 16223, 4752, 267, 645, 788, 328, 8624, 558, 2692, 1788, 10196, 693, 30673, 267, 6941, 602, 267, 968, 1721, 930, 540, 519, 645, 788, 328, 8624, 558, 2692, 7405, 267, 1496, 10472, 8038, 2421, 316, 6825, 519, 1376, 540, 741, 3621, 1239, 4015, 543, 513, 4960, 547, 2731, 1376, 8600, 585, 519, 1292, 5692, 269, 1547, 1452, 8038, 321, 903, 849, 1683, 519, 4316, 547, 3732, 4525, 1472, 22358, 602, 786, 711, 581, 3015, 2899, 649, 616, 538, 10739, 1848, 1323, 7650, 602, 568, 2907, 3638, 538, 4245, 763, 623, 515, 24650, 22292, 26563, 2678, 814, 6394, 1239, 593, 519, 2609, 1459, 538, 519, 1360, 23661, 5790, 540, 519, 4541, 267, 610, 608, 14459, 269, 634, 717, 10397, 14105, 543, 3026, 583, 1258, 15190, 668, 2678, 585, 22358, 630, 300, 294, 10064, 264, 9571, 1713, 13441, 525, 540, 25268, 543, 18325, 12345, 269, 1452, 5434, 616, 3812, 676, 519, 5872, 540, 7523, 12519, 17184, 12345, 609, 519, 5580, 2627, 6106, 540, 22358, 543, 849, 1683, 1344, 827, 519, 5888, 540, 519, 2627, 269, 589, 2143, 2079, 540, 519, 1239, 1107, 849, 9715, 1282, 519, 8038, 2421, 540, 19026, 1107, 568, 538, 3356, 269, 11576, 832, 593, 519, 11275, 10309, 22820, 6592, 3877, 540, 519, 3859, 2842, 543, 6419, 2361, 1472, 22358, 269, 634, 11275, 10309, 2319, 729, 3226, 9599, 547, 2445, 1239, 865, 2673, 1657, 519, 4541, 781, 7013, 21571, 1317, 267, 2394, 1631, 267, 1152, 22358, 781, 7187, 21571, 1185, 1044, 8947, 11275, 1227, 267, 676, 8331, 781, 11619, 10152, 5692, 269, 12312, 2305, 540, 22358, 781, 6419, 2361, 1239, 267, 9676, 609, 667, 23859, 781, 593, 4580, 11275, 10309, 269, 1284, 1611, 1079, 13754, 9088, 6417, 676, 1614, 4162, 540, 519, 6419, 2361, 269, 634, 4463, 540, 519, 1101, 13754, 6500, 4564, 519, 7444, 4657, 17931, 540, 519, 4282, 6419, 2361, 269, 3689, 519, 3859, 2842, 568, 4862, 267, 1287, 519, 2333, 543, 6175, 540, 519, 19236, 6419, 2361, 267, 1287, 1586, 519, 3859, 2842, 269, 634, 2539, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 21093, 519, 3501, 4598, 585, 707, 8666, 786, 581, 513, 2603, 4443, 2899, 596, 1451, 519, 1523, 540, 519, 4598, 6906, 563, 763, 4598, 6906, 949, 3280, 899, 7294, 9511, 855, 621, 3274, 3322, 3478, 1614, 4632, 1524, 281, 18869, 267, 9505, 614, 3432, 543, 27934, 269, 4495, 891, 616, 538, 3666, 267, 596, 666, 7001, 519, 3501, 6337, 563, 5649, 593, 547, 1265, 856, 811, 827, 875, 519, 4598, 6906, 1568, 563, 288, 13630, 675, 4016, 547, 875, 1930, 610, 6806, 519, 7828, 32640, 568, 269, 1403, 972, 568, 513, 9962, 27934, 630, 12294, 535, 3613, 641, 1297, 264, 972, 786, 581, 811, 540, 606, 6679, 547, 1577, 811, 1769, 883, 519, 7828, 269, 1403, 519, 27934, 568, 7522, 630, 14683, 535, 3613, 641, 1297, 264, 621, 786, 1577, 1447, 1769, 538, 547, 3914, 519, 9300, 563, 2791, 949, 1589, 602, 972, 786, 2760, 581, 513, 942, 950, 596, 1616, 547, 1577, 1447, 1769, 883, 519, 7828, 269, 1717, 267, 7522, 25180, 999, 616, 4998, 950, 596, 1616, 513, 3152, 3178, 540, 2361, 269, 1358, 786, 1205, 811, 540, 519, 6429, 538, 1445, 799, 568, 1946, 789, 616, 1419, 1031, 585, 5251, 15833, 563, 310, 3187, 25180, 999, 1711, 513, 7522, 3178, 540, 2361, 799, 568, 3501, 952, 596, 1616, 547, 24917, 538, 593, 513, 1641, 563, 7197, 14485, 616, 8325, 652, 1472, 535, 270, 276, 269, 277, 540, 535, 270, 279, 269, 1717, 267, 930, 21706, 949, 4123, 602, 8325, 1145, 585, 519, 2706, 5248, 908, 2360, 513, 9962, 27934, 666, 1683, 563, 4537, 13616, 3432, 9598, 919, 875, 1279, 519, 9505, 614, 13978, 1930, 267, 1775, 4318, 269, 875, 1279, 519, 9300, 568, 6534, 547, 1769, 269, 16258, 9505, 614, 11250, 2285, 519, 9300, 1447, 942, 6534, 547, 1769, 3246, 513, 2539, 4598, 269, 20405, 9505, 614, 11250, 2285, 519, 9300, 811, 942, 6534, 547, 1769, 543, 1683, 2362, 4598, 563, 11947, 9505, 614, 11250, 616, 1434, 585, 13830, 5163, 269, 17859, 540, 2436, 519, 8254, 695, 1389, 610, 519, 1641, 7575, 267, 621, 786, 948, 11677, 8325, 1145, 269, 13722, 9505, 614, 11250, 786, 2594, 2609, 540, 519, 7406, 585, 513, 3476, 2179, 540, 942, 1519, 1022, 3350, 602, 786, 2014, 20747, 337, 1465, 563, 7197, 21706, 2161, 3478, 519, 1318, 9505, 614, 3432, 568, 519, 1034, 1271, 2460, 950, 621, 2501, 547, 3478, 513, 8325, 3239, 563, 19102, 2084, 519, 18869, 2636, 596, 547, 960, 609, 1447, 1769, 269, 1717, 267, 621, 786, 849, 1267, 538, 2799, 6846, 543, 1447, 1469, 563, 3383, 267, 596, 949, 4898, 267, 1946, 9496, 609, 513, 1164, 18869, 286, 4270, 267, 952, 596, 616, 2324, 538, 1970, 1769, 543, 1210, 519, 11097, 652, 2009, 27934, 543, 9803, 2009, 9505, 614, 3432, 267, 2810, 519, 18869, 786, 581, 707, 1152, 3903, 269, 898, 949, 3132, 513, 1178, 4176, 3239, 267, 855, 707, 1152, 824, 4781, 786, 581, 547, 979, 585, 513, 14887, 9505, 614, 3432, 602, 786, 1267, 538, 4652, 1460, 762, 20747, 563, 763, 10286, 1465, 949, 581, 4389, 538, 11049, 563, 1432, 779, 519, 17828, 12601, 888, 2467, 568, 1100, 6310, 4341, 585, 519, 3501, 12601, 267, 610, 3666, 1063, 18869, 267, 9505, 614, 3432, 543, 27934, 269, 1411, 991, 547, 1265, 1018, 1568, 585, 596, 538, 707, 2016, 3510, 563, 4913, 267, 952, 596, 4188, 835, 540, 891, 267, 596, 786, 723, 547, 1118, 11941, 547, 873, 782, 563, 3383, 267, 952, 596, 6430, 547, 6175, 707, 9505, 614, 3432, 676, 1079, 13515, 267, 596, 786, 991, 547, 2333, 707, 27934, 676, 1079, 13515, 269, 1403, 596, 2333, 707, 18869, 676, 2185, 13515, 267, 596, 786, 991, 547, 1265, 606, 6697, 6175, 538, 707, 27934, 543, 9505, 614, 3432, 563, 1607, 782, 949, 3280, 14845, 267, 855, 936, 942, 267, 707, 3750, 786, 3391, 596, 547, 1118, 11941, 602, 960, 269, 1548, 12601, 4388, 798, 596, 946, 547, 1265, 519, 3501, 4598, 286, 0, 763, 16004, 531, 4104, 23119, 513, 5458, 2530, 540, 4054, 1813, 547, 23967, 454, 27288, 18394, 723, 1044, 513, 2101, 6161, 538, 519, 7187, 2865, 20173, 16004, 531, 7733, 267, 7092, 811, 3529, 2530, 936, 519, 2250, 8717, 982, 1022, 824, 1747, 593, 3047, 563, 10574, 2982, 602, 6739, 7733, 616, 519, 1034, 4299, 267, 9561, 811, 4054, 547, 3595, 982, 1022, 824, 2197, 267, 634, 26851, 4080, 269, 670, 4007, 5666, 540, 12617, 3327, 8166, 1223, 13451, 883, 519, 5318, 16004, 531, 3148, 602, 10580, 519, 7187, 21571, 21214, 2694, 540, 22778, 807, 267, 6480, 8205, 267, 26403, 807, 267, 6576, 267, 3162, 3013, 267, 3744, 24633, 269, 14522, 543, 4516, 267, 1851, 824, 2477, 267, 1657, 519, 4503, 4054, 602, 1491, 513, 2540, 547, 1036, 992, 563, 6097, 547, 1382, 5950, 13723, 676, 6820, 11206, 13772, 267, 606, 11036, 540, 519, 2622, 8249, 4659, 267, 519, 7187, 16004, 531, 7733, 2272, 585, 827, 476, 3583, 260, 540, 782, 3529, 2530, 547, 3595, 936, 519, 2250, 1079, 5756, 269, 6168, 476, 3199, 2929, 25614, 723, 1044, 4503, 538, 519, 1974, 476, 1220, 272, 547, 476, 1708, 272, 267, 540, 799, 6576, 814, 4503, 827, 476, 7871, 2929, 25614, 540, 3529, 3382, 547, 11642, 2094, 476, 1220, 272, 267, 543, 4516, 814, 4503, 827, 476, 2767, 2929, 25614, 1813, 547, 11642, 1282, 519, 1482, 1974, 563, 28317, 342, 23818, 892, 547, 519, 1158, 454, 13328, 8249, 4659, 25566, 543, 1867, 1071, 27236, 6276, 5839, 10111, 20321, 1336, 519, 2164, 968, 854, 7282, 892, 543, 968, 320, 12687, 5346, 1289, 547, 519, 1158, 9731, 2108, 20288, 7370, 616, 938, 1655, 1899, 540, 8878, 1996, 2916, 1689, 543, 1058, 581, 693, 519, 1283, 540, 938, 1592, 1496, 1993, 14422, 316, 2108, 267, 646, 1767, 267, 4946, 602, 519, 3327, 5950, 883, 519, 5790, 676, 4104, 11642, 5932, 513, 30380, 4783, 540, 2916, 3441, 269, 968, 4322, 7733, 666, 2490, 689, 3327, 29826, 547, 2959, 540, 3327, 538, 519, 5790, 563, 27288, 18394, 616, 811, 1455, 538, 22465, 4525, 899, 2342, 543, 519, 2136, 2276, 267, 855, 6385, 8337, 16004, 531, 7733, 1118, 873, 811, 11630, 547, 20414, 3595, 269, 2755, 835, 21017, 547, 476, 2412, 260, 540, 16004, 531, 4104, 11642, 616, 3323, 6923, 676, 17500, 267, 519, 824, 1292, 3595, 2707, 6238, 609, 1004, 269, 4653, 267, 519, 2179, 540, 4104, 10032, 676, 11642, 1813, 547, 26221, 543, 23967, 814, 2799, 267, 634, 26851, 5206, 563, 9827, 1224, 281, 15604, 538, 519, 5375, 22615, 28569, 11385, 919, 676, 476, 2004, 260, 2066, 519, 9533, 7909, 1063, 519, 10897, 2803, 543, 19360, 454, 17471, 3529, 3382, 2530, 454, 293, 2231, 2272, 585, 1472, 513, 10116, 540, 3529, 3382, 2530, 11451, 267, 2810, 676, 1472, 476, 275, 260, 829, 1032, 267, 610, 1472, 476, 15996, 267, 1822, 3606, 25614, 1142, 1032, 269, 4340, 547, 519, 1239, 267, 827, 3368, 568, 3361, 676, 3677, 11642, 538, 16004, 531, 4525, 563, 10214, 519, 21050, 923, 28297, 741, 2530, 540, 4054, 547, 3595, 693, 1472, 476, 276, 260, 829, 1032, 610, 606, 3606, 476, 3607, 267, 1822, 25614, 563, 763, 2530, 540, 4054, 1813, 547, 4104, 11642, 814, 2799, 11451, 676, 1472, 476, 274, 2929, 25614, 1169, 1032, 2094, 476, 1220, 272, 267, 799, 4564, 606, 3606, 1858, 519, 2450, 540, 19934, 4503, 1169, 1032, 676, 11642, 267, 676, 3379, 547, 4557, 1296, 3516, 269, 7831, 1032, 267, 23967, 1085, 528, 3481, 606, 1858, 540, 4054, 10199, 519, 2450, 540, 17289, 543, 941, 2808, 519, 10782, 593, 2594, 563, 1607, 1032, 267, 4525, 5734, 2182, 676, 2594, 1164, 5210, 1331, 2342, 267, 2694, 540, 519, 2136, 2276, 267, 3162, 5607, 267, 2694, 540, 3624, 543, 824, 4025, 1472, 519, 1158, 563, 4002, 519, 2318, 2427, 267, 938, 1702, 540, 4104, 3382, 2530, 814, 4824, 26526, 936, 519, 2250, 8717, 998, 519, 946, 540, 9682, 11052, 585, 513, 1454, 811, 2143, 2070, 540, 938, 7733, 563, 16665, 2376, 281, 667, 3754, 2389, 26985, 4677, 8952, 22254, 2469, 8015, 2916, 1689, 454, 15100, 476, 1708, 273, 7186, 13328, 21158, 2593, 2353, 2924, 11603, 269, 1684, 711, 16196, 1510, 10479, 269, 0, 31624, 2391, 568, 950, 1776, 1268, 1085, 4100, 610, 9292, 1206, 596, 593, 3483, 267, 543, 596, 1810, 1405, 917, 1018, 547, 798, 547, 9718, 3054, 269, 898, 666, 1331, 18644, 267, 2012, 10912, 610, 6158, 3297, 707, 1394, 563, 1892, 15681, 606, 2937, 281, 707, 3237, 267, 513, 4116, 267, 513, 7023, 267, 4896, 945, 666, 948, 563, 1892, 8347, 711, 547, 1397, 519, 4439, 569, 602, 596, 616, 14220, 610, 18901, 563, 1892, 2422, 9644, 610, 2995, 519, 1268, 547, 3247, 543, 3802, 2476, 269, 1684, 711, 4339, 609, 519, 4439, 569, 563, 1892, 3680, 4025, 1141, 596, 1589, 519, 11648, 786, 4755, 267, 971, 607, 519, 1394, 540, 519, 1668, 267, 519, 19880, 610, 1373, 4805, 538, 4025, 899, 519, 15547, 563, 306, 21788, 4753, 281, 634, 772, 2529, 269, 4972, 540, 2657, 543, 5274, 8249, 0, 3080, 942, 1352, 3096, 24320, 2478, 568, 950, 1352, 4485, 1855, 12661, 11030, 538, 1433, 835, 269, 2701, 3217, 593, 519, 5920, 540, 22895, 525, 267, 23071, 540, 519, 570, 7469, 2103, 269, 2701, 3096, 713, 24320, 1047, 538, 1931, 547, 1217, 1855, 12661, 11030, 602, 1010, 4651, 568, 2965, 9800, 543, 711, 4666, 543, 602, 646, 1058, 2119, 547, 979, 547, 4262, 543, 3406, 585, 1864, 269, 968, 292, 1722, 332, 11030, 267, 1250, 4651, 568, 711, 4947, 1753, 269, 594, 1100, 3476, 3972, 1022, 3377, 602, 949, 2097, 267, 610, 1022, 28897, 1250, 3993, 949, 723, 20335, 689, 513, 694, 518, 1352, 814, 2040, 3000, 539, 909, 547, 519, 2777, 563, 305, 334, 5446, 998, 594, 628, 20403, 267, 646, 9060, 1010, 5067, 543, 6645, 1864, 602, 968, 23723, 320, 267, 13508, 803, 267, 786, 2285, 803, 2262, 267, 543, 594, 4927, 5365, 547, 596, 267, 12162, 3429, 281, 693, 519, 1448, 5180, 909, 782, 24915, 267, 561, 1734, 267, 10591, 540, 2112, 2451, 538, 938, 10689, 2507, 950, 519, 647, 6002, 4413, 1346, 7916, 543, 2243, 596, 892, 630, 276, 4200, 454, 7212, 30328, 568, 513, 4583, 267, 10995, 543, 24123, 4137, 267, 1010, 14017, 547, 6755, 601, 2100, 568, 9039, 343, 11962, 269, 901, 568, 7000, 676, 1010, 12602, 609, 824, 4807, 267, 1010, 6905, 3460, 1753, 267, 543, 676, 519, 1249, 602, 646, 8959, 547, 1118, 6755, 601, 2100, 1010, 10862, 269, 700, 5819, 1399, 568, 711, 513, 2352, 1523, 267, 782, 30328, 1185, 547, 798, 547, 11886, 713, 729, 2057, 824, 2021, 267, 543, 2322, 6755, 601, 2100, 1657, 1010, 25796, 2081, 269, 3571, 5821, 547, 798, 713, 18327, 1864, 547, 581, 606, 31877, 9393, 267, 945, 1281, 711, 17330, 1010, 1582, 1652, 543, 22973, 7385, 269, 700, 5819, 1399, 568, 606, 1898, 851, 540, 7365, 610, 1022, 2078, 543, 3340, 1312, 1004, 3238, 538, 519, 2078, 563, 1103, 25264, 779, 12473, 267, 968, 763, 31660, 892, 646, 14550, 547, 519, 3988, 513, 8903, 2648, 1063, 30328, 267, 519, 3751, 540, 594, 628, 20403, 543, 1010, 7385, 10348, 6755, 601, 2100, 269, 634, 7008, 568, 9674, 1317, 540, 519, 18858, 13568, 2782, 950, 30328, 5012, 1010, 2367, 883, 6370, 269, 13405, 547, 30328, 685, 22576, 267, 646, 31825, 547, 6755, 601, 2100, 602, 952, 646, 3085, 1406, 2132, 547, 594, 628, 20403, 1369, 476, 1015, 1296, 610, 952, 646, 1058, 25110, 282, 1287, 1352, 1058, 1265, 1776, 812, 547, 19533, 267, 1831, 3751, 543, 6318, 741, 10867, 5067, 267, 1855, 12661, 11030, 269, 6755, 601, 2100, 568, 1253, 571, 9853, 693, 519, 1360, 2219, 540, 1864, 711, 13059, 267, 855, 9900, 30491, 602, 1352, 786, 7227, 2390, 1010, 2132, 610, 2394, 1855, 12661, 11030, 9428, 513, 581, 731, 1354, 1121, 541, 11538, 269, 634, 2278, 3217, 721, 593, 30328, 685, 3460, 1394, 547, 594, 628, 20403, 267, 855, 1100, 2339, 519, 3510, 646, 13315, 267, 6755, 601, 2100, 454, 3891, 2968, 818, 5766, 656, 538, 1010, 2081, 543, 1033, 10696, 689, 519, 3811, 2619, 540, 2245, 269, 968, 4517, 2943, 585, 18710, 734, 875, 1223, 594, 723, 4465, 513, 8821, 2401, 982, 676, 4758, 19746, 547, 1250, 1378, 7015, 9495, 2073, 30466, 821, 29064, 713, 3948, 538, 513, 6450, 583, 2145, 1996, 11511, 517, 269, 11511, 517, 7150, 267, 968, 3086, 2357, 1176, 594, 993, 1100, 812, 267, 1352, 568, 519, 812, 267, 952, 713, 11802, 4927, 1964, 609, 1200, 543, 3142, 1100, 15163, 1848, 11511, 517, 21787, 1010, 1379, 1131 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9568, 269, 634, 3389, 5006, 2530, 540, 1272, 7018, 1851, 519, 1004, 593, 519, 2539, 16064, 267, 945, 941, 5645, 1524, 609, 519, 29855, 9252, 518, 269, 20640, 8696, 4666, 4703, 941, 1336, 543, 4857, 1282, 519, 1101, 1079, 2395, 1310, 519, 9568, 267, 543, 17288, 5498, 1597, 7606, 941, 1634, 547, 581, 1869, 7508, 267, 865, 602, 519, 2698, 2530, 540, 1272, 786, 4440, 3914, 693, 2547, 24239, 19317, 269, 14066, 24921, 540, 1004, 10272, 519, 1085, 821, 540, 519, 9568, 1282, 519, 2250, 3018, 267, 543, 519, 24738, 540, 11605, 543, 16236, 1851, 1346, 3168, 585, 4503, 14077, 543, 2828, 941, 1034, 15700, 269, 18279, 7338, 267, 540, 519, 2233, 9369, 267, 814, 1831, 1202, 2033, 689, 16236, 267, 543, 568, 5702, 9856, 539, 561, 652, 646, 1058, 3614, 675, 5128, 269, 1261, 568, 7683, 10912, 585, 1010, 5067, 267, 7247, 11876, 3081, 646, 23689, 269, 589, 1804, 2671, 540, 519, 5539, 585, 519, 9568, 26520, 2390, 519, 5411, 540, 519, 2233, 9369, 267, 585, 519, 9252, 518, 729, 1152, 17101, 676, 1876, 547, 4163, 29235, 19317, 15915, 267, 1247, 1352, 568, 1634, 547, 723, 1185, 693, 2547, 476, 10384, 593, 4604, 950, 1352, 521, 1678, 563, 306, 5357, 14888, 8991, 595, 4041, 2752, 5058, 589, 654, 17751, 8946, 4629, 308, 21203, 8946, 308, 17335, 4456, 4916, 11123, 589, 13138, 3198, 9915, 18306, 269, 910, 3245, 589, 27699, 4953, 6224, 676, 670, 269, 700, 990, 773, 269, 6816, 3143, 269, 1015, 568, 538, 20173, 269, 476, 3607, 269, 1789, 267, 1141, 519, 14967, 2306, 922, 1390, 5595, 7455, 269, 898, 729, 8185, 25167, 543, 6870, 676, 2220, 10102, 593, 519, 7532, 267, 543, 519, 9075, 540, 1715, 28925, 267, 7720, 1421, 729, 2219, 547, 4971, 519, 5757, 269, 1715, 28925, 729, 9676, 676, 15352, 781, 7952, 630, 18550, 267, 476, 5908, 273, 1070, 674, 334, 1774, 781, 7784, 2692, 1846, 16309, 538, 4881, 2250, 519, 6532, 267, 930, 3560, 338, 7142, 741, 1259, 998, 519, 2220, 10102, 3297, 519, 6532, 267, 543, 519, 5969, 540, 513, 12324, 2066, 519, 18846, 267, 13087, 519, 12658, 5644, 547, 3295, 543, 7001, 922, 575, 28207, 630, 19688, 476, 278, 264, 1510, 513, 3978, 6370, 269, 1306, 3370, 538, 5990, 595, 4353, 6579, 654, 2752, 5442, 5990, 6167, 3951, 3633, 29865, 2464, 593, 2985, 476, 10844, 454, 310, 269, 645, 269, 570, 2207, 23802, 454, 310, 599, 781, 13268, 564, 30615, 7089, 476, 6321, 273, 274, 454, 306, 1181, 20253, 601, 17142, 10935, 454, 289, 16742, 693, 5617, 548, 31996, 517, 267, 24282, 903, 569, 7079, 807, 538, 476, 6977, 277, 563, 305, 534, 22087, 1075, 1695, 7232, 770, 1636, 593, 17906, 5211, 1991, 547, 519, 6406, 2782, 1530, 1242, 693, 22087, 1075, 1695, 593, 4864, 476, 2641, 267, 476, 5908, 272, 267, 676, 772, 2529, 269, 7784, 29539, 700, 13052, 5058, 307, 2177, 585, 2502, 538, 6808, 609, 519, 10546, 543, 585, 10760, 519, 20752, 9206, 269, 570, 15735, 547, 595, 23879, 267, 13325, 269, 22210, 539, 693, 667, 3089, 5211, 267, 17906, 593, 20029, 269, 476, 274, 267, 476, 5908, 273, 563, 1607, 568, 835, 540, 519, 20868, 652, 2038, 1266, 9545, 902, 594, 4312, 2479, 2938, 540, 513, 9252, 29539, 454, 763, 10169, 834, 294, 15402, 257, 2126, 2306, 519, 10935, 1413, 899, 519, 10935, 1185, 1044, 547, 18774, 543, 1394, 538, 519, 2511, 540, 3943, 7376, 29775, 1511, 16910, 2946, 3943, 281, 476, 8146, 273, 910, 476, 6642, 274, 994, 291, 528, 2946, 1185, 513, 27506, 585, 9446, 532, 1629, 4577, 5396, 538, 1010, 12383, 585, 519, 6426, 630, 5908, 277, 1070, 667, 14397, 781, 5606, 1716, 334, 630, 6977, 278, 264, 543, 29859, 781, 21537, 1047, 23452, 630, 5908, 277, 264, 607, 1134, 607, 12383, 585, 1082, 824, 1568, 540, 3332, 543, 849, 519, 834, 9418, 257, 1158, 971, 607, 5507, 267, 4789, 630, 6942, 273, 264, 538, 799, 646, 3769, 519, 2695, 531, 528, 540, 922, 1034, 791, 1478, 1639, 16973, 799, 10982, 26359, 13915, 540, 519, 942, 945, 14201, 1405, 1031, 547, 7487, 519, 9378, 344, 2427, 540, 2342, 781, 2462, 4872, 6719, 865, 796, 4148, 514, 4221, 569, 563, 1103, 476, 6977, 274, 267, 16910, 2946, 729, 20827, 547, 9414, 519, 1568, 540, 7083, 1635, 1258, 799, 1223, 723, 1044, 950, 646, 610, 513, 2875, 540, 1010, 1223, 723, 7654, 3812, 713, 3239, 540, 519, 595, 2562, 290, 2562, 2793, 2316, 267, 476, 6977, 271, 268, 4649, 269, 901, 568, 689, 519, 32298, 7732, 4015, 267, 20134, 1297, 476, 278, 2412, 277, 563, 5353, 696, 269, 476, 2537, 6113, 267, 476, 5908, 276, 717, 548, 1783, 781, 11625, 3645, 14745, 540, 4452, 514, 262, 10412, 536, 2297, 1524, 586, 16093, 538, 1325, 629, 20632, 1547, 1547, 4586, 292, 339, 4221, 540, 476, 4572, 279, 17813, 1063, 595, 2562, 290, 2562, 2793, 2316, 543, 7537, 2207, 32177, 454, 10454, 6008, 14781, 520, 17813, 257, 1063, 519, 9252, 619, 595, 2562, 290, 2562, 2793, 2316, 543, 7537, 2207, 32177, 267, 476, 866, 4864, 476, 866, 267, 476, 4572, 279, 689, 8402, 6807, 547, 14986, 6816, 13269, 538, 713, 1469, 6508, 689, 513, 9896, 1696, 4221, 676, 519, 7376, 32572, 4864, 918, 7795, 2401, 269, 570, 16660, 3312, 1519, 19114, 3800, 476, 280, 269, 2412, 1535, 476, 1321, 269, 3199, 6279, 543, 835, 568, 6035, 585, 9042, 593, 661, 4811, 312, 912, 257, 5588, 15674, 22847, 294, 19851, 918, 308, 30045, 2207, 630, 13563, 267, 476, 6977, 280, 268, 5002, 280, 1070, 1412, 763, 6008, 14781, 520, 17813, 267, 476, 4572, 279, 10086, 3312, 1696, 4221, 267, 15513, 9896, 1701, 552, 1206, 344, 2593, 454, 4415, 519, 9868, 540, 2592, 20295, 547, 1857, 5238, 2676, 22336, 2251, 593, 713, 2985, 568, 689, 513, 4357, 4015, 563, 8923, 3346, 6008, 14781, 1846, 2593, 585, 10479, 585, 5010, 946, 30818, 0, 20360, 18434, 723, 519, 1761, 547, 1764, 5017, 543, 16835, 267, 543, 950, 4092, 538, 23864, 7297, 949, 849, 1764, 7286, 7103, 971, 607, 7286, 11864, 543, 4262, 16015, 269, 6489, 18434, 949, 723, 1114, 5222, 4470, 593, 2436, 789, 616, 521, 1243, 593, 2244, 610, 538, 519, 1216, 269, 1677, 2708, 891, 5222, 519, 1715, 14948, 4972, 540, 7025, 10466, 630, 23430, 264, 814, 2919, 7226, 6268, 267, 1764, 4879, 267, 543, 840, 7146, 2022, 268, 4070, 5464, 4170, 1808, 547, 519, 4087, 540, 519, 2842, 17081, 267, 593, 2244, 610, 538, 23864, 7297, 269, 634, 2164, 786, 581, 1031, 676, 519, 4972, 547, 6218, 519, 5222, 540, 2842, 18434, 267, 3313, 519, 6708, 547, 799, 4238, 616, 4929, 1463, 9019, 547, 5017, 543, 16835, 267, 543, 519, 2360, 540, 4070, 543, 5106, 593, 7286, 7103, 269, 901, 1239, 786, 948, 1217, 2104, 4507, 585, 519, 1694, 532, 543, 5106, 540, 2842, 18434, 538, 519, 9381, 3148, 563, 763, 4972, 786, 2015, 4244, 2409, 982, 1346, 4330, 538, 713, 2930, 8261, 3177, 971, 4244, 2409, 786, 1683, 1239, 602, 568, 13380, 547, 602, 6488, 539, 676, 519, 2930, 8261, 269, 901, 568, 2556, 547, 5512, 519, 4972, 547, 6218, 519, 5222, 540, 2842, 18434, 9112, 2059, 519, 5032, 543, 538, 23864, 7297, 543, 5635, 1239, 689, 3017, 2842, 17081, 7835, 269, 0, 2691, 7234, 12362, 18047, 267, 972, 616, 513, 1297, 540, 2474, 602, 616, 1031, 547, 4766, 513, 1880, 454, 26212, 640, 281, 1452, 18047, 616, 519, 5207, 10862, 602, 616, 8362, 1373, 6098, 585, 16701, 1709, 676, 519, 1284, 539, 310, 1047, 5358, 563, 307, 1173, 9643, 281, 1452, 18047, 616, 4686, 1369, 519, 10315, 543, 616, 8362, 6417, 676, 519, 1284, 539, 310, 1047, 5358, 950, 1336, 563, 14611, 5199, 281, 1452, 18047, 616, 14124, 543, 7839, 269, 634, 1284, 539, 310, 1047, 5358, 7512, 1852, 676, 2244, 14935, 543, 666, 4217, 609, 1646, 540, 513, 1544, 547, 1852, 891, 18047, 563, 302, 13791, 715, 2135, 1190, 1284, 539, 8889, 543, 19032, 3590, 912, 288, 1107, 513, 18290, 540, 1634, 2804, 2956, 799, 4386, 538, 519, 1533, 538, 1507, 2614, 28383, 547, 1118, 16701, 1709, 610, 2270, 618, 2009, 282, 610, 568, 711, 1634, 547, 2049, 267, 855, 922, 4527, 538, 15231, 2829, 1118, 2104, 12136, 538, 14822, 3100, 31873, 269, 30318, 2962, 281, 5606, 652, 725, 616, 1641, 547, 16701, 1709, 610, 14021, 1852, 950, 543, 1141, 1336, 563, 289, 1107, 513, 18290, 540, 2804, 2956, 799, 568, 3148, 958, 10731, 267, 855, 799, 949, 723, 3908, 3892, 538, 930, 17521, 269, 30318, 2962, 281, 17290, 547, 14021, 1852, 693, 519, 1533, 267, 10315, 610, 6237, 1377, 607, 5462, 593, 513, 3135, 1808, 267, 2013, 8386, 30924, 4493, 269, 7316, 6388, 540, 513, 4628, 7471, 1533, 4204, 2359, 1544, 568, 711, 15164, 267, 6211, 1852, 630, 15290, 2139, 264, 4927, 581, 519, 3119, 1852, 1505, 563, 307, 1107, 513, 10862, 1100, 343, 1190, 18290, 11280, 676, 519, 14822, 3557, 1284, 539, 8274, 607, 513, 3077, 585, 799, 519, 744, 6395, 786, 1020, 543, 2936, 513, 1533, 4204, 2359, 1544, 269, 968, 307, 892, 11280, 1100, 343, 1190, 18047, 616, 2249, 5697, 689, 2901, 519, 968, 288, 892, 610, 968, 289, 892, 1592, 22535, 638, 1774, 2639, 19177, 6019, 31913, 1284, 539, 5004, 9351, 1284, 539, 19032, 454, 288, 815, 2699, 10332, 267, 1034, 12362, 267, 1869, 4175, 762, 593, 513, 6237, 610, 2199, 4336, 610, 3908, 3262, 454, 289, 815, 1034, 12362, 267, 12725, 10731, 454, 290, 815, 1034, 12362, 267, 7839, 454, 291, 815, 1447, 10728, 267, 3552, 1633, 28164, 267, 1447, 1764, 593, 2067, 1949, 454, 292, 815, 10728, 5097, 538, 24972, 12734, 270, 698, 3472, 1116, 3871, 282, 4063, 281, 713, 7121, 568, 18106, 454, 293, 284, 2115, 811, 9623, 267, 1058, 581, 7074, 952, 543, 1141, 621, 779, 513, 1966, 454, 310, 284, 4585, 1592, 0, 763, 1655, 540, 19889, 19400, 267, 1318, 538, 707, 28600, 269, 6178, 909, 585, 938, 4757, 20394, 2336, 3528, 6424, 1744, 858, 2006, 454, 4322, 1644, 2249, 2443, 799, 267, 2059, 609, 669, 9874, 10327, 267, 616, 1634, 15217, 607, 669, 1180, 5341, 20321, 753, 2443, 1331, 930, 540, 519, 1034, 12219, 7286, 24991, 538, 519, 1158, 269, 1744, 10225, 543, 12345, 3068, 513, 3099, 540, 6937, 4470, 593, 1141, 789, 2661, 543, 7669, 267, 855, 519, 7887, 1981, 2501, 689, 936, 325, 5109, 267, 799, 3217, 513, 18476, 17167, 593, 891, 3500, 21212, 267, 3500, 3562, 3146, 335, 28558, 2831, 269, 1306, 513, 1267, 267, 5176, 476, 272, 538, 476, 275, 2249, 540, 669, 1180, 878, 628, 12505, 24991, 568, 6059, 547, 581, 267, 610, 12290, 607, 267, 12219, 267, 2687, 547, 519, 594, 30002, 4414, 5903, 563, 31359, 9291, 476, 3199, 279, 267, 799, 7979, 9155, 519, 18532, 11318, 267, 7001, 267, 6057, 610, 1303, 836, 2211, 540, 16142, 543, 12345, 538, 1533, 7286, 7297, 267, 5293, 922, 1101, 12233, 5870, 593, 13723, 269, 634, 5580, 12068, 4528, 267, 14130, 9291, 476, 4366, 280, 267, 17956, 922, 1101, 12233, 13170, 3735, 2063, 3923, 543, 5293, 513, 2034, 2542, 593, 11728, 563, 292, 1723, 19400, 11545, 5240, 12072, 454, 305, 600, 8124, 267, 513, 7286, 29489, 267, 1767, 593, 519, 9215, 31165, 8058, 602, 621, 729, 834, 11274, 5193, 569, 18198, 543, 2295, 2173, 601, 1154, 257, 547, 581, 14059, 676, 519, 7372, 3165, 563, 4913, 267, 824, 7286, 27563, 267, 1519, 7812, 667, 727, 1512, 267, 519, 15713, 8689, 540, 519, 1875, 17416, 13149, 11094, 3163, 4659, 267, 6659, 4145, 827, 10548, 8124, 781, 3527, 267, 2523, 585, 15700, 519, 16356, 543, 585, 7654, 11121, 1875, 7721, 704, 1206, 547, 5577, 538, 519, 5836, 538, 3406, 540, 1582, 625, 609, 7925, 543, 5732, 5906, 5836, 7068, 563, 763, 3043, 267, 20259, 543, 13032, 16356, 616, 519, 1283, 1614, 16356, 2249, 3297, 519, 1034, 14603, 6285, 1813, 547, 741, 1804, 2450, 267, 2687, 547, 519, 8419, 7467, 563, 10454, 1297, 476, 272, 4341, 540, 16048, 16356, 11362, 12427, 568, 667, 2177, 31415, 570, 5495, 6224, 5990, 15562, 2752, 16775, 10590, 667, 727, 1512, 5206, 538, 606, 17749, 2022, 269, 834, 1607, 568, 711, 16356, 14223, 1862, 527, 568, 25796, 267, 1582, 1790, 668, 10056, 4799, 291, 727, 1512, 5206, 538, 513, 5094, 17749, 2022, 602, 513, 1554, 1310, 10548, 8124, 781, 7044, 4682, 10194, 267, 827, 476, 2568, 1004, 10272, 519, 7297, 1472, 1200, 7669, 267, 8380, 2933, 543, 519, 1858, 781, 16142, 693, 1981, 563, 257, 10817, 612, 875, 1082, 16142, 941, 4767, 281, 2098, 2207, 302 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6514, 543, 25759, 1250, 1382, 3092, 269, 6271, 19231, 666, 581, 1913, 607, 594, 1131, 723, 547, 2328, 3102, 543, 538, 3178, 1867, 609, 9803, 1913, 2009, 269, 0, 268, 606, 3504, 2197, 538, 5607, 267, 590, 540, 519, 24272, 30510, 543, 536, 867, 1359, 593, 519, 4563, 7256, 281, 519, 2244, 540, 519, 13642, 18307, 324, 576, 543, 540, 2405, 20660, 538, 5259, 13299, 563, 14300, 689, 519, 5680, 585, 897, 577, 529, 454, 23208, 6201, 540, 897, 577, 529, 454, 2005, 2306, 513, 9702, 538, 2051, 577, 529, 8164, 971, 513, 3364, 4523, 11053, 4120, 6229, 24079, 454, 3891, 729, 10629, 547, 519, 1488, 12455, 2246, 338, 538, 741, 4583, 16939, 547, 2051, 577, 529, 269, 1911, 271, 19088, 1670, 16992, 16684, 569, 2677, 8282, 454, 10955, 1189, 590, 269, 32762, 454, 8624, 577, 529, 267, 875, 666, 594, 2479, 23231, 596, 585, 519, 942, 596, 723, 2016, 547, 519, 5478, 540, 891, 14848, 888, 8624, 577, 529, 840, 4718, 621, 267, 543, 6956, 621, 282, 1352, 1223, 2760, 1689, 563, 5445, 616, 733, 27631, 547, 519, 24272, 22057, 10239, 267, 547, 30345, 807, 267, 543, 2051, 577, 529, 563, 268, 606, 3504, 2197, 593, 519, 4563, 7256, 5045, 540, 519, 24272, 30510, 282, 519, 2244, 540, 2405, 20660, 543, 519, 13642, 18307, 324, 576, 538, 5259, 13299, 0, 3963, 798, 4064, 2220, 749, 888, 5226, 924, 513, 2603, 540, 1004, 723, 513, 22224, 1858, 896, 741, 4064, 538, 519, 6640, 269, 898, 568, 693, 2547, 711, 8353, 24312, 24886, 543, 711, 16990, 2614, 269, 634, 5920, 540, 971, 9259, 949, 5815, 519, 991, 547, 1491, 1978, 3800, 547, 8396, 519, 2068, 269, 1284, 666, 2012, 8370, 1292, 4128, 1946, 4064, 2220, 749, 563, 268, 645, 4711, 896, 519, 4064, 949, 2408, 1813, 547, 7050, 5666, 540, 5714, 26583, 689, 519, 10543, 269, 898, 666, 581, 1216, 267, 7401, 267, 6995, 267, 21097, 267, 737, 341, 817, 543, 824, 16098, 563, 268, 634, 2601, 1946, 11926, 896, 519, 4064, 666, 581, 606, 7050, 2179, 540, 4568, 3144, 593, 519, 552, 557, 269, 1306, 596, 917, 267, 971, 10425, 798, 711, 30164, 513, 1268, 781, 3068, 267, 855, 2864, 28596, 2178, 30046, 543, 11435, 896, 519, 4064, 267, 799, 723, 513, 15116, 640, 547, 2333, 609, 942, 269, 589, 2147, 5114, 4386, 1813, 547, 519, 1249, 602, 4568, 25601, 1216, 538, 519, 2281, 540, 519, 1560, 563, 268, 1403, 596, 899, 547, 32696, 538, 28655, 16469, 267, 14546, 543, 30644, 1426, 910, 581, 5423, 585, 519, 4539, 269, 2991, 971, 513, 7594, 267, 513, 1268, 781, 1216, 1606, 5306, 3666, 568, 22841, 267, 799, 5012, 547, 18473, 9259, 593, 519, 3068, 563, 268, 634, 1482, 11435, 593, 519, 2539, 22442, 573, 949, 2408, 1813, 547, 15198, 267, 4617, 2287, 610, 9668, 540, 519, 13545, 810, 20771, 4494, 602, 14014, 519, 3750, 4252, 689, 8801, 5007, 7506, 269, 1677, 3713, 971, 1200, 333, 658, 5485, 338, 568, 711, 2352, 2614, 269, 1411, 1175, 991, 547, 2673, 707, 4064, 543, 21066, 7903, 856, 269, 1452, 12982, 2220, 32478, 666, 1152, 581, 6569, 4907, 1227, 563, 268, 1403, 707, 4064, 616, 22224, 267, 519, 4128, 585, 713, 949, 9114, 538, 519, 2085, 269, 3683, 519, 1296, 267, 8031, 6336, 741, 22786, 543, 1831, 10690, 269, 12815, 519, 2540, 849, 1281, 711, 1780, 519, 10172, 1184, 269, 3502, 782, 4587, 1004, 949, 1995, 2147, 2042, 609, 11435, 896, 519, 4064, 269, 1809, 713, 7613, 568, 3833, 7928, 563, 268, 4658, 1419, 3956, 1317, 540, 8401, 28654, 267, 17140, 267, 2566, 267, 610, 3274, 17140, 269, 901, 5012, 547, 11926, 540, 519, 5580, 543, 2539, 22442, 1749, 269, 634, 5714, 568, 17477, 538, 519, 8031, 543, 621, 3217, 930, 942, 547, 1205, 621, 856, 269, 901, 4523, 6923, 267, 855, 1082, 1004, 723, 25858, 1465, 585, 513, 1279, 942, 563, 268, 634, 3668, 540, 6171, 645, 276, 538, 519, 1560, 949, 1134, 2014, 11926, 540, 519, 22442, 1749, 269, 898, 568, 606, 1271, 10250, 3693, 1336, 538, 3536, 971, 607, 3165, 267, 5779, 267, 10365, 267, 607, 32651, 267, 6797, 267, 581, 1115, 267, 11188, 322, 7236, 17228, 267, 28471, 31884, 543, 10683, 2472, 563, 268, 1703, 616, 513, 1297, 540, 3676, 267, 519, 12343, 610, 10835, 540, 799, 949, 581, 11926, 540, 519, 22442, 1749, 269, 4322, 3676, 1331, 2295, 2068, 267, 8459, 267, 1973, 543, 519, 4539, 540, 3978, 7063, 563, 268, 1656, 1776, 267, 711, 513, 1906, 1271, 2601, 949, 581, 19021, 640, 269, 3245, 519, 11937, 596, 666, 1847, 513, 2027, 2497, 540, 519, 2540, 269, 769, 713, 2013, 267, 596, 1175, 991, 547, 2268, 269, 18087, 568, 1634, 910, 14077, 616, 711, 6074, 563, 2252, 596, 8068, 602, 519, 1126, 781, 4064, 616, 22224, 267, 798, 711, 19292, 547, 3346, 513, 4387, 269, 2986, 1576, 267, 519, 2014, 540, 30046, 666, 581, 11234, 3207, 3270, 267, 936, 1740, 610, 1279, 8384, 7641, 267, 855, 972, 949, 581, 811, 3978, 3123, 267, 971, 607, 2295, 2068, 267, 15466, 2068, 267, 17350, 543, 824, 13542, 563, 3086, 596, 917, 1946, 519, 4064, 2220, 749, 538, 519, 6640, 269, 1403, 596, 1185, 547, 4308, 609, 713, 1966, 267, 581, 2386, 547, 1265, 856, 922, 3123, 269, 623, 4428, 1465, 896, 519, 4064, 666, 581, 711, 1152, 606, 12716, 19319, 267, 855, 849, 513, 5365, 547, 3978, 3676, 269, 1684, 711, 7340, 547, 6895, 707, 1072, 543, 5920, 563, 274, 1292, 9073, 602, 6690, 1118, 538, 7365, 454, 1692, 547, 1118, 606, 13297, 547, 513, 2915, 454, 279, 540, 519, 10782, 1919, 2367, 798, 1310, 3023, 454, 1692, 547, 2638, 519, 2272, 593, 519, 3556, 540, 590, 828, 23810, 0, 288, 23644, 29769, 545, 4323, 630, 339, 807, 264, 568, 513, 8482, 602, 16569, 1152, 513, 1906, 3764, 621, 4523, 950, 519, 1973, 3761, 547, 851, 540, 519, 2634, 568, 13713, 17808, 2589, 540, 513, 512, 807, 616, 899, 824, 8482, 2589, 267, 855, 798, 711, 2063, 607, 1279, 269, 634, 2165, 3670, 3613, 6593, 2599, 814, 1044, 4294, 547, 513, 1297, 540, 4244, 4835, 13674, 2599, 6272, 602, 3801, 547, 2087, 593, 2757, 1079, 3613, 6593, 543, 2185, 3613, 6593, 9817, 269, 634, 2599, 4783, 5956, 609, 519, 6981, 8482, 607, 519, 25059, 568, 15504, 2509, 519, 1835, 3471, 3873, 1111, 630, 1729, 519, 2451, 538, 519, 4137, 264, 519, 6981, 11896, 568, 1930, 267, 543, 4492, 543, 2011, 616, 6537, 2250, 519, 11896, 543, 883, 519, 13674, 12068, 543, 12718, 689, 519, 6981, 32032, 4092, 593, 1283, 540, 519, 13674, 563, 296, 2675, 1335, 545, 8482, 729, 519, 1034, 1455, 1826, 267, 8051, 585, 476, 277, 1240, 260, 630, 4817, 260, 524, 328, 476, 277, 1428, 268, 277, 2641, 8472, 540, 7972, 1813, 547, 8482, 538, 476, 1001, 277, 1034, 540, 519, 16917, 8344, 10832, 630, 4532, 2064, 267, 9860, 267, 9019, 3562, 2987, 322, 2064, 5223, 267, 9019, 267, 9659, 14194, 3286, 539, 1272, 1296, 267, 1296, 4503, 1813, 547, 9659, 267, 543, 1296, 540, 1272, 4503, 264, 540, 8482, 538, 2489, 610, 2901, 1826, 540, 269, 853, 6593, 14317, 267, 543, 5009, 6051, 689, 14715, 22907, 267, 3340, 513, 5748, 540, 1702, 538, 8482, 8446, 543, 2359, 713, 2689, 6799, 2963, 1644, 519, 5817, 2035, 540, 8482, 14317, 269, 4985, 513, 1982, 1544, 547, 1020, 2295, 2068, 538, 7178, 20424, 807, 729, 2919, 607, 513, 4199, 547, 948, 2087, 519, 9025, 1072, 540, 7178, 20424, 2103, 7303, 20956, 323, 543, 5355, 519, 1072, 540, 938, 7264, 786, 1491, 513, 13455, 267, 13447, 539, 4674, 540, 2043, 543, 2950, 593, 519, 851, 540, 721, 782, 563, 300, 9394, 8482, 1770, 2126, 519, 3804, 540, 519, 5985, 8482, 1770, 568, 547, 2110, 523, 519, 942, 1063, 519, 12614, 540, 8482, 6438, 2589, 543, 519, 6765, 540, 8052, 1532, 755, 532, 910, 610, 555, 668, 2513, 344, 6776, 910, 5061, 267, 799, 1590, 581, 13950, 1369, 1614, 3108, 540, 950, 2589, 3459, 610, 950, 519, 3461, 729, 2063, 1634, 547, 581, 1134, 269, 476, 272, 4367, 596, 616, 14376, 547, 7119, 538, 713, 1382, 1788, 799, 568, 14236, 2242, 538, 1004, 630, 5976, 543, 1510, 8482, 264, 609, 5580, 18215, 1928, 269, 4985, 547, 4791, 11719, 344, 689, 6280, 540, 1608, 4727, 267, 7254, 21473, 322, 8646, 606, 7650, 540, 519, 4143, 3344, 540, 519, 27496, 267, 4791, 6881, 267, 2596, 2068, 6127, 267, 10368, 4485, 543, 2126, 3681, 540, 519, 1034, 269, 634, 8482, 5748, 568, 513, 3084, 17493, 602, 4891, 609, 519, 2146, 547, 2061, 267, 1521, 543, 10726, 8482, 649, 1796, 7258, 8482, 15000, 543, 741, 3885, 267, 3782, 4648, 543, 3173, 269, 6736, 519, 2518, 1764, 543, 8441, 538, 1620, 519, 2619, 30986, 540, 6147, 15842, 341, 6018, 3676, 267, 519, 2165, 8482, 568, 711, 9846, 3989, 538, 4791, 2259, 267, 538, 4791, 1382, 267, 610, 538, 10526, 540, 519, 1857, 1072, 563, 10303, 519, 18960, 6198, 543, 7293, 5778, 574, 1645, 2553, 723, 11999, 6286, 585, 14317, 1382, 543, 1646, 267, 621, 568, 3810, 14909, 602, 14317, 3173, 581, 2111, 547, 6218, 519, 28252, 540, 519, 2553, 585, 14317, 1382, 543, 602, 519, 6800, 540, 14317, 1382, 630, 773, 267, 19353, 543, 3173, 264, 581, 2111, 547, 6218, 4681, 689, 269, 634, 1826, 540, 8482, 596, 723, 5540, 707, 2126, 543, 6051, 1034, 18116, 630, 9262, 8472, 616, 29769, 545, 18116, 476, 272, 606, 29769, 545, 8482, 4523, 950, 1973, 2095, 998, 519, 16050, 602, 7727, 5135, 11656, 1973, 547, 519, 2634, 3587, 17808, 1973, 28163, 1419, 2014, 519, 3625, 1137, 602, 1291, 547, 29769, 545, 18116, 269, 589, 8482, 568, 2147, 547, 513, 2295, 4323, 267, 1152, 538, 713, 2013, 267, 1973, 2095, 547, 2634, 267, 2864, 982, 519, 2295, 267, 568, 17808, 519, 2165, 8482, 2501, 689, 519, 2899, 2442, 2856, 602, 2576, 1185, 4607, 513, 8482, 540, 5601, 781, 1688, 543, 729, 4061, 8697, 269, 630, 4820, 476, 272, 540, 476, 274, 264, 29122, 737, 548, 514, 267, 795, 323, 543, 29122, 30883, 267, 544, 323, 5189, 519, 10529, 585, 519, 30425, 593, 2068, 2319, 17758, 281, 1016, 2275, 677, 673, 8482, 267, 606, 3872, 2680, 4843, 693, 519, 524, 3305, 269, 4985, 547, 8482, 267, 5310, 998, 1699, 562, 785, 338, 14422, 538, 8482, 1382, 616, 1305, 8482, 281, 2591, 267, 3356, 267, 543, 9153, 476, 274, 563, 288, 8482, 568, 513, 2634, 4323, 621, 666, 4755, 547, 4896, 693, 1022, 942, 621, 4386, 950, 1973, 2095, 547, 606, 1858, 540, 2634, 568, 2759, 1055, 950, 713, 4523, 267, 2634, 2281, 616, 27226, 540, 5135, 543, 2253, 547, 5884, 269, 9483, 6268, 538, 8482, 1382, 281, 606, 4367, 713, 2689, 568, 547, 2708, 519, 10083, 540, 519, 2804, 20241, 2509, 519, 1942, 540, 8482, 538, 1114, 2477, 519, 11001, 2808, 1896, 2090, 547, 5173, 519, 2104, 267, 1699, 1239, 543, 8417, 2079, 547, 1265, 30608, 543, 15889, 2164, 269, 15616, 18132, 545, 568, 513, 1072, 1416, 3924, 602, 6212, 593, 519, 2078, 1063, 519, 1560, 781, 2497, 1765, 10852, 569, 519, 12636, 11652, 922, 8647, 4352, 9439, 949, 946, 513, 3099, 540, 2126, 4485, 267, 789, 5097, 1685, 11941, 630, 2006, 760, 2827, 264, 547, 519, 12636, 610, 824, 2694, 540, 519, 269, 853, 6593, 610, 6147, 15842, 341, 6018, 8009, 630, 322, 9366, 264, 4214, 7602, 494, 568, 519, 6385, 3384, 2530, 540, 2634, 1599, 4433, 264, 1813, 547, 19717, 538, 519, 1973, 3761, 547, 519, 2634, 27496, 7602, 494, 8482, 568, 4867, 519, 2034, 3056, 2014, 540, 2669, 538, 519, 7262, 1158, 267, 20823, 1310, 2295, 2068, 543, 1354, 2860, 7602, 494, 519, 11841, 540, 8482, 4679, 563, 1805, 6593, 281, 519, 6727, 2669, 540, 2634, 2281, 1813, 547, 3668, 540, 5135, 267, 3361, 676, 31797, 540, 1973, 2095, 610, 28230, 540, 606, 16050, 547, 519, 2634, 6727, 2530, 540, 4633, 267, 8467, 267, 610, 26900, 540, 835, 2427, 540, 519, 1560, 666, 581, 2589, 269, 589, 8482, 568, 513, 2564, 6595, 18116, 4755, 950, 1973, 2095, 547, 707, 2634, 13515, 1369, 3764, 267, 2634, 2281, 2253, 547, 5884, 972, 616, 1079, 5686, 540, 8482, 563, 1805, 6593, 9601, 538, 519, 15922, 1858, 616, 7487, 6909, 9156, 625, 267, 930, 12777, 16074, 267, 7064, 547, 513, 1007, 2186, 540, 6565, 1591, 2126, 693, 588, 534, 5112, 6280, 900, 1176, 2490, 518, 5359, 630, 277, 270, 272, 270, 1626, 269, 4828, 4367, 7291, 6280, 7005, 11418, 4702, 3584, 585, 1382 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14630, 2776, 341, 6012, 14630, 8921, 6012, 1320, 1348, 2776, 341, 6012, 1320, 1348, 8921, 6012, 14630, 12039, 6012, 1320, 1348, 12039, 2639, 24336, 21519, 670, 32670, 454, 24336, 21519, 670, 32670, 630, 12953, 383, 369, 994, 295, 784, 1797, 2433, 2699, 563, 763, 21519, 15173, 568, 827, 476, 5197, 271, 1296, 2025, 563, 1103, 476, 276, 4696, 15651, 631, 836, 630, 382, 353, 383, 377, 11054, 383, 369, 1070, 945, 729, 519, 19524, 2987, 268, 27815, 540, 519, 11439, 454, 1721, 806, 540, 519, 12390, 19092, 630, 23263, 349, 21485, 13651, 476, 18684, 6195, 547, 476, 13136, 4696, 1070, 23689, 20568, 20855, 630, 26528, 289, 383, 494, 26872, 994, 1492, 14890, 543, 8704, 20568, 962, 532, 630, 26528, 289, 383, 478, 22935, 1070, 513, 11397, 3448, 540, 20568, 20855, 2676, 553, 519, 14610, 540, 519, 12390, 19092, 269, 24641, 15651, 631, 836, 29064, 602, 646, 729, 454, 1492, 5910, 2105, 14890, 563, 1103, 476, 280, 4696, 15651, 631, 836, 25323, 20568, 962, 532, 607, 519, 14610, 540, 12390, 543, 3964, 454, 20130, 1378, 19092, 1572, 2473, 514, 19092, 630, 6440, 338, 21485, 13651, 1040, 1261, 7715, 2740, 5128, 607, 519, 1101, 454, 10387, 10132, 540, 519, 2473, 514, 19092, 630, 280, 4696, 547, 476, 2537, 4696, 1916, 311, 514, 19092, 729, 10032, 676, 20568, 2473, 24926, 630, 26528, 289, 382, 357, 336, 264, 538, 476, 2537, 4696, 269, 4935, 20568, 2473, 24926, 2847, 1882, 454, 1492, 12390, 19092, 799, 729, 1634, 607, 13536, 12390, 19092, 630, 382, 359, 293, 23263, 349, 21485, 13651, 476, 1839, 4696, 547, 454, 13136, 4696, 1040, 20568, 2473, 24926, 729, 7715, 2740, 607, 519, 14890, 269, 14890, 20568, 2473, 24926, 711, 1152, 454, 1177, 12023, 519, 1200, 3386, 2140, 540, 17921, 630, 26872, 297, 264, 610, 3057, 638, 529, 547, 1010, 3448, 1572, 454, 299, 24926, 17540, 630, 26528, 289, 21485, 296, 264, 855, 849, 12912, 1864, 547, 17982, 513, 8664, 1572, 15173, 454, 263, 12953, 383, 369, 538, 519, 22236, 3148, 540, 1459, 1554, 2473, 26820, 2473, 12248, 344, 2485, 379, 16006, 382, 379, 382, 353, 538, 808, 21628, 24175, 454, 25075, 1550, 2485, 355, 382, 379, 383, 482, 12953, 12953, 383, 503, 1040, 20568, 17540, 729, 1634, 607, 15173, 17921, 17540, 630, 12953, 383, 369, 26872, 297, 21485, 296, 1040, 2991, 519, 454, 1372, 987, 540, 15173, 17921, 17540, 1010, 7800, 652, 5067, 15110, 519, 2140, 799, 729, 2663, 454, 10139, 539, 1524, 547, 1010, 7800, 652, 1178, 2738, 517, 269, 1717, 267, 519, 1390, 1178, 2738, 517, 540, 20568, 17540, 454, 17495, 1100, 5256, 18472, 543, 519, 2140, 729, 27618, 676, 519, 12390, 7040, 563, 8448, 982, 713, 1390, 1178, 2738, 517, 945, 1185, 1100, 5067, 20568, 17540, 849, 1185, 824, 454, 26160, 7428, 543, 930, 540, 873, 7550, 670, 32670, 607, 19412, 21519, 538, 1121, 27320, 540, 454, 1492, 8664, 15173, 563, 763, 21519, 15173, 12090, 538, 606, 1858, 5219, 547, 607, 623, 532, 26284, 454, 7093, 2739, 675, 630, 15100, 383, 371, 382, 354, 4113, 335, 264, 1282, 519, 12390, 19092, 269, 634, 1459, 1554, 4087, 540, 454, 303, 532, 26284, 2776, 2739, 675, 568, 538, 22703, 3148, 540, 623, 532, 26284, 10315, 2282, 454, 6826, 18268, 2749, 2485, 354, 318, 382, 357, 383, 488, 382, 354, 26872, 538, 1261, 2041, 328, 11662, 2485, 359, 324, 382, 354, 318, 12953, 383, 503, 994, 6224, 7419, 294, 962, 3019, 9539, 1146, 18078, 17106, 11333, 3820, 454, 15648, 476, 1960, 280, 269, 2353, 2924, 11603, 563, 268, 670, 622, 544, 5661, 454, 268, 3245, 281, 8863, 7419, 294, 962, 3019, 9539, 1146, 2999, 16942, 11333, 2593, 285, 0, 8421, 3101, 538, 610, 19142, 909, 4367, 547, 8051, 795, 527, 754, 571, 272, 5334, 2466, 8281, 5403, 547, 2433, 15745, 2433, 13565, 10558, 725, 2433, 9523, 5410, 547, 25035, 2506, 5523, 19478, 27189, 547, 2349, 9233, 543, 17978, 5410, 547, 19305, 772, 22744, 539, 689, 2278, 17269, 19860, 561, 924, 23453, 13334, 7044, 538, 5295, 303, 2632, 15942, 609, 513, 306, 30325, 9008, 25767, 7842, 3009, 281, 2506, 5523, 281, 18044, 27317, 25674, 25767, 6496, 711, 1489, 2923, 1299, 27515, 14825, 5597, 2242, 547, 18044, 610, 1875, 6363, 31988, 7842, 31964, 2506, 5523, 11426, 1125, 2506, 5523, 15745, 281, 25767, 774, 3518, 333, 841, 281, 25767, 634, 6881, 568, 6707, 3773, 769, 2659, 674, 2948, 2572, 269, 14358, 281, 476, 277, 6507, 21145, 281, 4065, 17821, 281, 2353, 7126, 27616, 6145, 621, 630, 272, 264, 2598, 3697, 621, 630, 271, 264, 1520, 4765, 281, 4864, 476, 1704, 267, 476, 1001, 271, 901, 19809, 568, 5398, 674, 2948, 2572, 281, 476, 272, 19809, 13517, 3143, 6609, 2139, 269, 22227, 5403, 532, 6085, 1862, 1635, 281, 1094, 329, 3192, 276, 630, 2767, 3923, 4433, 264, 3516, 264, 2731, 8799, 5225, 1683, 513, 947, 585, 4647, 30540, 32465, 5403, 31400, 19171, 30540, 32465, 22478, 19410, 19171, 1635, 281, 3490, 518, 29900, 630, 1789, 3923, 4433, 264, 3516, 264, 8799, 6881, 267, 865, 666, 1775, 4647, 621, 726, 338, 269, 30540, 32465, 5403, 31400, 19171, 30540, 32465, 22478, 19410, 19171, 1635, 281, 29732, 32627, 334, 7742, 271, 630, 3451, 3923, 4433, 264, 3516, 264, 19743, 922, 513, 1434, 835, 32465, 4754, 594, 723, 519, 929, 633, 5076, 540, 23842, 621, 30540, 32465, 5403, 31400, 19171, 30540, 32465, 22478, 19410, 19171, 20031, 1756, 4759, 19809, 3690, 5296, 11038, 1299, 15440, 658, 19098, 2433, 11038, 1299, 15440, 658, 19098, 634, 5178, 529, 585, 6355, 5463, 2888, 22391, 476, 273, 281, 8028, 4596, 7419, 16249, 281, 22033, 585, 17423, 10435, 3848, 272, 22391, 476, 274, 281, 19098, 1344, 634, 8051, 1184, 17423, 15670, 9483, 2238, 589, 2388, 630, 20657, 2888, 264, 19098, 968, 31904, 892, 3375, 15670, 609, 2804, 2238, 476, 382, 378, 543, 609, 519, 2164, 540, 741, 3664, 269, 9537, 540, 19098, 6176, 2433, 9537, 540, 19098, 6176, 11038, 15440, 658, 12525, 22391, 476, 276, 281, 6176, 20305, 7767, 832, 28946, 6002, 2494, 6162, 13574, 619, 11426, 619, 31740, 27943, 8041, 910, 306, 4488, 910, 7644, 306, 910, 292, 5183, 17423, 8081, 22008, 303, 2079, 13437, 6268, 9214, 11365, 2079, 20907, 532, 13317, 14305, 2423, 11789, 829, 2671, 22472, 2079, 6176, 3590, 9978, 12793, 540, 606, 19098, 3590, 2433, 9978, 12793, 540, 606, 19098, 3590, 19873, 543, 2594, 1870, 8852, 269, 9978, 12793, 540, 606, 19098, 3590, 2433, 9978, 12793, 540, 606, 19098, 3590, 19873, 543, 2594, 1870, 8852, 269, 20505, 540, 24498, 11038, 27561, 2433, 20505, 540, 24498, 11038, 27561, 634, 3119, 5007, 3755, 540, 2883, 1344, 616, 9520, 543, 5491, 832, 269, 22391, 476, 280, 281, 20505, 540, 11038, 27561, 20505, 540, 24498, 11038, 27561, 2433, 20505, 540, 24498, 11038, 27561, 634, 3119, 2883, 6898, 269, 22391, 476, 1556, 281, 11038, 27561, 11038, 27561, 11038, 32276, 11038, 32276, 281, 589, 30776, 547, 7348, 6355, 18567, 540, 1401, 27238, 7797, 539, 6176, 2433, 18567, 540, 1401, 27238, 7797, 539, 6176, 589, 31283, 547, 606, 7736, 16340, 518, 982, 11038, 32276, 8466, 538, 7186, 11778, 689, 769, 1410, 716, 543, 20976, 1493, 21474, 9122, 593, 4937, 20828, 2667, 18870, 2422, 6888, 24046, 3842, 19247, 18378, 20305, 540, 19098, 6176, 2433, 18378, 20305, 540, 19098, 6176, 8274, 540, 6034, 832, 12751, 15445, 20229, 12751, 11038, 20229, 21470, 3465, 6342, 6355, 5149, 2494, 6162, 7233, 2494, 6162, 15188, 2494, 6162, 7412, 8111, 6665, 832, 22391, 476, 1428, 281, 6176, 827, 3375, 6194, 6392, 267, 585, 3375, 6194, 1489, 267, 543, 585, 10442, 543, 14785, 3375, 6194, 2773, 269, 6176, 3730, 538, 12570, 1312, 519, 2250, 2773, 543, 2104, 8846, 540, 519, 13055, 543, 1344, 689, 5007, 543, 4835, 2959, 269, 6176, 3730, 547, 948, 519, 13055, 3035, 922, 3804, 267, 6859, 543, 5692, 269, 20505, 540, 15440, 658, 27561, 18567, 540, 5004, 19098, 6176, 2433, 18567, 540, 5004, 19098, 6176, 7033, 17165, 10576, 17423, 5336, 1136, 16958, 18112, 5034, 19331, 731, 8892, 21474, 540, 21252, 543, 6356, 4369, 589, 31283, 547, 606, 7736, 6715, 31772, 540, 19098, 6176, 2433, 6715, 31772, 540, 19098, 6176, 2382, 6627, 17972, 13575, 20504, 539, 19098, 14362, 630, 16598, 4338, 264, 11038, 19098, 11621, 8274, 1530, 15247, 543, 16510, 8189, 18378, 6513, 12856, 10748, 1080, 6715, 31772, 540, 19098, 6176, 2433, 6715, 31772, 540, 19098, 6176, 12333, 20871, 1977, 4659, 540, 26133, 5398, 10055, 1218, 4659, 540, 5004, 10055, 1218, 4659, 540, 18378, 10748, 6002, 1977, 19098, 5948, 7736, 540, 3848, 476, 272, 2433, 7736, 540, 3848, 476, 272, 1411, 798, 711, 723, 519, 10479, 547, 2070, 713, 6881, 269, 769, 1931, 547, 2070, 621, 267, 5225, 3346, 519, 2278, 540, 519, 6881, 269, 0, 10267, 1375, 1281, 711, 10018, 7131, 338, 267, 1569, 9479, 267, 610, 2978, 8261, 338, 609, 713, 1433, 563, 22492, 4065, 281, 7464, 11334, 267, 7464, 19198, 543, 4841, 267, 7464, 4147, 7741, 267, 7464, 3194, 269, 12634, 2035, 543, 2963, 2861, 2853, 5965, 1007, 3610, 585, 741, 5107, 538, 519, 2069, 543, 1134, 5630, 540, 1053, 609, 9124, 543, 824, 2027, 2115, 269, 3057, 1176, 333, 31541, 10905, 1382, 26455, 2035, 543, 1983, 609, 4052, 1344, 585, 7855, 2324, 538, 713, 4101, 2085, 540, 1164, 4441, 543, 12477, 267, 6437, 1569, 267, 8537, 2853, 267, 3318, 5698, 267, 543, 2875, 4763, 269, 634, 3791, 7160, 26779, 519, 4170, 540, 519, 12135, 299, 289, 543, 9517, 12788, 9086, 609, 2963, 2861, 2853, 865, 602, 3988, 1174, 519, 6788, 585, 7855, 543, 1053, 267, 543, 1451, 875, 2565, 2035, 14377, 883, 3872, 2853, 269, 7464, 4658, 267, 7464, 4147, 7741, 281, 3848, 14956, 2287, 966, 793, 22863, 4766, 519, 2833, 540, 1614, 1114, 1053, 540, 8795, 6502, 607, 789, 9305, 547, 519, 3584, 5941, 538, 1142, 3184, 543, 616, 26518, 693, 1883, 2798, 538, 519, 3184, 269, 3689, 8518, 10055, 2934, 1483, 1272, 2984, 689, 3610, 267, 1053, 267, 3237, 267, 543, 1153, 4648, 4687, 741, 1378, 2833, 543, 5380, 11341, 547, 1272, 543, 1565, 609, 2027, 2115, 269, 24935, 689, 15232, 2934, 7001, 519, 4030, 543, 5796, 540, 4810, 3610, 593, 3584, 8151, 689, 2324, 3927, 609, 9164, 547, 4466, 2081, 547, 5104, 24327, 782, 519, 9021, 540, 1373, 513, 2027, 19829, 547, 5466, 513, 3099, 540, 3318, 2591, 267, 1519, 1346, 1644, 547, 2875, 2623, 543, 1920, 4145, 269, 7464, 3194, 281, 19019, 538, 11059, 5031, 3450, 3498, 585, 14021, 6044, 9447, 676, 2027, 2069, 3610, 538, 1585, 3872, 5468, 269, 15474, 19884, 4675, 2176, 14550, 519, 1082, 2318, 267, 14942, 2081, 547, 2232, 1053, 685, 2623, 4882, 3469, 2152, 607, 851, 540, 2949, 4928, 3450, 543, 1565, 269, 28981, 22750, 6176, 5303, 11872, 2934, 13686, 4241, 14292, 543, 4217, 633, 2029, 3156, 585, 3450, 1053, 609, 11108, 2115, 538, 2027, 3872, 5468, 607, 1134, 607, 6402, 547, 1344, 602, 666, 948, 4098, 3610, 1544, 741, 4245, 267, 18663, 741, 1053, 267, 543, 1832, 32448, 540, 741, 6385, 4657, 2361, 269, 12333, 22750, 2934, 4766, 12497, 2326, 543, 5969, 6316, 1344, 602, 1921, 3069, 547, 2259, 269, 16938, 17004, 1447, 454, 22492, 4065, 281, 7464, 11334, 267, 7464, 19198, 543, 4841, 267, 7464, 4147, 7741, 267, 7464, 3194, 269, 12634, 2035, 543, 2963, 2861, 2853, 5965, 1007, 3610, 585, 741, 5107, 538, 519, 2069, 543, 1134, 5630, 540, 1053, 609, 9124, 543, 1862, 8058, 811, 14872, 8698, 7305, 540, 12937, 454, 305, 550, 7981, 4065, 476, 274, 6113, 9990, 2221, 267, 610, 3406, 938, 3135, 585, 824, 31541, 7981, 4065, 9499, 269, 2353, 540, 938, 9499, 2097, 609, 513, 476, 2641, 1554, 9045, 529, 8351, 2871, 5875, 2465, 267, 476, 1691, 2395, 585, 552, 17806, 9248, 563, 8139, 7981, 4065, 4804, 20505, 16610, 602, 6651, 7981, 4065, 634, 11759, 3038, 2888, 540, 7981, 4065, 7981, 4065, 13565, 7896, 4675, 11915, 589, 1749, 543, 7896, 4886, 540, 519, 7981, 4065, 12197, 7216, 3778, 5178, 529, 585, 4653, 781, 4937, 4065, 543, 7981, 4065, 3590, 26521, 543, 519, 22073, 540, 7827, 22175, 12720, 585, 519, 7126, 540, 4841, 609, 24894, 589, 8549, 15863, 281, 16572, 547, 13363, 4841, 609, 24894, 4676, 710, 906, 547, 519, 4521, 8549, 7981, 4065, 4521, 281, 6452, 558, 680, 880, 906, 543, 2598, 1952, 2002, 906, 4886, 540, 32213, 13756, 2598, 2889, 15251, 622, 23830, 1323, 16527, 540, 8033, 5224, 26094, 16572, 585, 4841, 609, 24894, 15706, 609, 24894, 4065, 26094, 2920, 630, 2839, 12788, 264, 540, 476, 1220, 275, 20023, 1234, 915, 5131, 30785, 5398, 4065, 2274, 770, 10163, 2774, 633, 5113, 715, 1180, 4593, 3234, 22922, 16214, 9977, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 7170, 281, 1234, 1597, 1218, 910, 589, 1975, 809, 344, 3828, 626, 593, 26415, 338, 2439, 5970, 596, 2479, 4862, 519, 22090, 704, 540, 513, 15293, 569, 5639, 538, 606, 2025, 2777, 267, 610, 5433, 513, 28306, 2196, 1524, 707, 12636, 950, 6972, 998, 513, 28200, 693, 3781, 286, 2755, 2757, 15293, 2984, 666, 6157, 6494, 695, 1392, 909, 938, 838, 1149, 267, 972, 781, 1776, 1826, 540, 16750, 1373, 602, 1522, 533, 1664, 707, 1719, 281, 6774, 1218, 2439, 3383, 1018, 4010, 616, 6774, 1218, 286, 1358, 2811, 1419, 2808, 547, 581, 513, 2027, 2186, 540, 3768, 1737, 13442, 267, 2147, 547, 1990, 4861, 625, 610, 30632, 2231, 269, 1717, 267, 7429, 741, 2634, 1652, 13413, 610, 1973, 628, 1009, 344, 535, 328, 1742, 267, 6774, 1218, 4865, 4987, 267, 1582, 18221, 267, 543, 3006, 1256, 4664, 269, 1452, 552, 24809, 7919, 2132, 689, 3564, 519, 18205, 5275, 642, 3188, 766, 1996, 1346, 945, 4636, 539, 873, 1282, 741, 6180, 531, 2729, 269, 898, 1223, 581, 4896, 12544, 1920, 4759, 267, 3659, 267, 10546, 267, 610, 1256, 2576, 7357, 7164, 269, 901, 1391, 585, 5126, 11479, 6774, 1218, 1394, 883, 519, 1158, 540, 519, 2713, 267, 1818, 873, 1454, 1085, 926, 518, 10779, 2456, 982, 1022, 8723, 20807, 532, 6891, 780, 3086, 596, 1522, 4898, 267, 875, 1281, 835, 1831, 513, 6774, 656, 286, 4270, 267, 621, 2356, 3322, 12955, 896, 10795, 6381, 610, 7680, 513, 2620, 2631, 540, 20729, 531, 1354, 2669, 269, 16270, 13059, 607, 513, 6774, 656, 267, 519, 1367, 25601, 8823, 540, 922, 2250, 1272, 267, 4946, 4492, 547, 922, 7287, 585, 20947, 269, 1809, 1810, 1405, 5855, 282, 4742, 513, 6774, 656, 3884, 1405, 1945, 596, 991, 547, 4250, 538, 1483, 1272, 256, 5502, 267, 649, 786, 2263, 1585, 14070, 1568, 10023, 6774, 1218, 865, 596, 666, 4685, 4514, 883, 1620, 891, 4241, 3197, 780, 4131, 781, 1491, 513, 1413, 693, 835, 971, 1433, 1572, 834, 763, 681, 17470, 2437, 676, 27050, 17793, 10045, 269, 5590, 538, 10430, 267, 713, 17680, 6137, 3209, 6645, 519, 1650, 540, 513, 17400, 539, 8498, 1141, 1004, 2097, 1394, 689, 519, 4666, 607, 6774, 1218, 269, 3776, 16502, 267, 29484, 5839, 14211, 267, 7024, 1310, 1296, 2476, 1152, 547, 3605, 1010, 6689, 6653, 24711, 814, 12357, 569, 8709, 1639, 269, 1306, 646, 19707, 585, 1200, 267, 646, 796, 1723, 951, 4158, 11580, 827, 519, 10034, 27714, 543, 16137, 1946, 789, 4473, 1586, 607, 6774, 1218, 269, 4024, 29484, 4194, 519, 9814, 543, 4688, 1010, 11537, 1354, 1352, 3587, 519, 1985, 6408, 286, 1411, 3513, 1175, 723, 547, 1224, 519, 1433, 547, 1265, 856, 2439, 5194, 9159, 9661, 5473, 6774, 1218, 568, 834, 291, 3195, 338, 1299, 1744, 27595, 257, 676, 595, 269, 7917, 595, 1173, 650, 269, 769, 713, 4683, 14810, 1305, 538, 2413, 6377, 21388, 267, 7147, 267, 1079, 1453, 7938, 9231, 569, 1930, 513, 22045, 1063, 10600, 543, 32570, 5256, 14179, 550, 4229, 269, 7324, 873, 616, 6774, 1218, 18761, 593, 4929, 14784, 543, 9552, 269, 2060, 12667, 11673, 543, 10578, 4729, 23538, 267, 3988, 1246, 2051, 2421, 21862, 839, 267, 513, 5449, 1126, 605, 21745, 344, 5828, 31510, 5436, 19792, 267, 607, 646, 12959, 891, 32049, 7068, 269, 2052, 2051, 2421, 2673, 519, 22045, 543, 536, 4314, 519, 9409, 6774, 1218, 11014, 2496, 20091, 827, 6774, 1218, 2488, 721, 609, 13858, 9035, 4904, 609, 24457, 543, 10761, 269, 1635, 3695, 1114, 3344, 540, 891, 2189, 9988, 2066, 1585, 14070, 5468, 267, 649, 2744, 513, 3152, 7071, 585, 519, 10848, 4478, 519, 16750, 7706, 269, 1924, 10544, 707, 5172, 24120, 267, 1769, 513, 18241, 15489, 23156, 267, 543, 5965, 3054, 585, 669, 1571, 543, 4278, 1571, 607, 596, 3460, 883, 519, 12357, 1158, 540, 6774, 1218, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 1732, 1259, 547, 8661, 519, 4005, 540, 26546, 2011, 267, 22481, 24996, 267, 855, 1181, 583, 23601, 267, 30861, 13212, 267, 726, 4660, 267, 3476, 17334, 267, 543, 29511, 344, 3762, 982, 609, 1007, 1957, 3724, 2835, 286, 7433, 10587, 1577, 596, 547, 974, 707, 5767, 1224, 1472, 609, 596, 899, 1100, 2462, 4308, 267, 543, 693, 513, 2539, 3902, 1448, 267, 1577, 596, 2879, 698, 811, 693, 707, 2199, 967, 773, 610, 585, 707, 5399, 269, 5192, 4712, 547, 798, 1256, 811, 9205, 2542, 267, 5310, 609, 513, 26345, 23156, 267, 610, 11255, 2542, 9944, 513, 18241, 24120, 267, 609, 713, 5180, 1575, 540, 2887, 476, 1708, 273, 962, 288, 1957, 10587, 563, 8340, 2630, 930, 540, 519, 1034, 3078, 962, 288, 1957, 10587, 18644, 21684, 713, 2887, 269, 5221, 540, 519, 3761, 5832, 2591, 1869, 18363, 13629, 267, 930, 540, 891, 7389, 949, 6521, 610, 1689, 267, 855, 713, 568, 519, 14191, 547, 4977, 607, 2009, 267, 829, 13629, 17048, 1344, 269, 2368, 540, 891, 2835, 616, 1957, 3724, 5169, 1023, 267, 2495, 789, 3580, 1152, 2479, 5305, 538, 1957, 3724, 267, 1247, 1866, 616, 1101, 13847, 538, 1957, 3724, 540, 2835, 602, 723, 2907, 1044, 3370, 538, 2182, 16225, 269, 594, 4076, 12758, 547, 1101, 2835, 538, 513, 3126, 593, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3725, 1597, 1218, 257, 607, 851, 540, 834, 11227, 1315, 26415, 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, 7706, 540, 5339, 9880, 267, 519, 1523, 540, 32408, 543, 7254, 640, 20217, 721, 547, 4983, 519, 10848, 540, 1480, 2623, 543, 8404, 269, 901, 6249, 19674, 1379, 2685, 538, 519, 6609, 540, 21280, 577, 6390, 674, 29531, 781, 9525, 538, 513, 10795, 7369, 322, 566, 1282, 1010, 6107, 269, 3414, 713, 2079, 267, 649, 786, 2263, 875, 3332, 666, 8774, 1769, 593, 6848, 11994, 540, 2790, 1072, 543, 4161, 938, 10054, 827, 11807, 2932, 780, 5575, 267, 1577, 721, 2015, 519, 10206, 540, 32408, 1369, 519, 2796, 540, 713, 8574, 269, 1879, 10503, 519, 6429, 267, 1913, 971, 607, 834, 12712, 569, 2437, 834, 12921, 3305, 880, 2437, 834, 3430, 871, 2437, 543, 834, 1260, 10232, 257, 18427, 513, 2631, 540, 14784, 543, 19450, 640, 2404, 609, 32408, 269, 1717, 267, 621, 568, 2629, 547, 5431, 602, 21458, 2576, 607, 834, 24703, 257, 1759, 9003, 593, 741, 3527, 666, 581, 16609, 269, 1306, 5640, 899, 18466, 18539, 322, 5435, 723, 11130, 267, 10747, 1978, 5615, 607, 1821, 5050, 5713, 2797, 5301, 676, 9591, 29708, 4441, 540, 2932, 269, 4475, 267, 950, 7421, 8320, 540, 9228, 32408, 267, 621, 568, 1898, 547, 29506, 1125, 1312, 1367, 18144, 543, 6626, 1514, 2188, 693, 1404, 780, 1103, 21280, 577, 6390, 674, 29531, 781, 2013, 267, 519, 8523, 19306, 1864, 7722, 538, 2168, 30925, 609, 1876, 11268, 10492, 269, 2311, 1101, 16145, 267, 713, 2623, 1522, 3100, 22566, 540, 513, 23304, 731, 585, 6392, 5515, 12544, 1761, 10835, 540, 2790, 16132, 269, 8616, 267, 2390, 6251, 6514, 267, 4244, 3137, 10836, 269, 1280, 3236, 267, 674, 29531, 949, 723, 19500, 856, 540, 7184, 4371, 4978, 12082, 538, 20748, 31710, 269, 11569, 267, 646, 2663, 2968, 513, 7986, 22267, 14957, 585, 11636, 4507, 267, 11021, 602, 1010, 18144, 941, 5483, 676, 1134, 19603, 545, 4327, 3741, 2864, 982, 6071, 791, 6160, 4369, 269, 4935, 267, 1247, 1010, 3527, 1223, 581, 1526, 29471, 607, 834, 24703, 2437, 789, 849, 2992, 513, 7029, 547, 4101, 3964, 3889, 540, 1379, 780, 3519, 14287, 267, 519, 7128, 11464, 13269, 538, 519, 3239, 24151, 513, 1106, 540, 12250, 1242, 5208, 1419, 15763, 1813, 547, 922, 7681, 609, 6392, 543, 1931, 269, 1635, 1915, 1944, 519, 1486, 22246, 607, 10728, 8373, 16234, 267, 2486, 4220, 3339, 1944, 1533, 1606, 534, 794, 539, 30468, 269, 769, 1249, 267, 3875, 4207, 5322, 899, 4563, 22032, 17460, 2721, 3007, 547, 11528, 2152, 4478, 7128, 13817, 2265, 267, 13031, 3270, 540, 6057, 6456, 9944, 32320, 619, 540, 26117, 269, 9182, 267, 15819, 945, 5963, 4564, 7254, 640, 543, 32408, 3587, 14063, 538, 9691, 2502, 609, 5931, 18995, 4655, 1063, 4961, 543, 8128, 780, 11101, 267, 519, 13509, 4478, 519, 4008, 3961, 540, 930, 2043, 1459, 538, 519, 11147, 2591, 2757, 10822, 2456, 540, 27828, 543, 8706, 6541, 269, 16301, 971, 607, 834, 12921, 4883, 344, 8004, 610, 6148, 513, 1279, 3620, 8529, 7911, 257, 5031, 519, 5714, 640, 540, 1582, 22325, 543, 14920, 11342, 1282, 713, 942, 1974, 269, 6270, 11269, 20838, 519, 2956, 540, 9301, 3309, 19183, 540, 2790, 1072, 2066, 1585, 22097, 269, 13298, 982, 759, 15659, 547, 5187, 2065, 11008, 3074, 540, 834, 7538, 1097, 257, 610, 834, 1278, 1145, 2437, 891, 13857, 28402, 5000, 3988, 547, 9784, 3818, 13109, 543, 6988, 538, 1620, 1480, 2623, 780, 7661, 267, 621, 568, 4502, 15663, 602, 2413, 23798, 5170, 547, 28196, 710, 938, 8223, 540, 1202, 534, 640, 269, 10765, 1382, 5267, 602, 2175, 5892, 16363, 2150, 805, 762, 267, 971, 607, 18624, 267, 949, 4431, 9797, 547, 5499, 9354, 7459, 269, 3958, 267, 5571, 9840, 3823, 7803, 5539, 543, 25112, 1464, 11168, 519, 991, 585, 17519, 4485, 2509, 1346, 21679, 609, 2790, 4576, 269, 9182, 267, 7311, 4207, 3621, 4030, 547, 3140, 6386, 2636, 721, 547, 15260, 612, 2250, 21520, 543, 11349, 6568, 585, 3197, 2899, 25323, 607, 8806, 834, 24703, 3010, 1103, 3932, 267, 6313, 519, 2078, 1063, 32408, 543, 7254, 640, 998, 5339, 16472, 7512, 2565, 3206, 543, 11942, 13784, 269, 1635, 23827, 908, 6848, 8847, 540, 11807, 2932, 267, 14344, 3309, 7215, 540, 3961, 267, 543, 10128, 6932, 3621, 8906, 267, 1053, 1831, 1732, 9280, 547, 6330, 1950, 5683, 21140, 4843, 538, 5339, 1568, 269, 11086, 267, 713, 4514, 6278, 27862, 7214, 2208, 543, 10114, 999, 3743, 2518, 15114, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8310, 5130, 267, 590, 1181, 12139, 538, 5125, 3370, 513, 1305, 540, 2947, 1178, 4176, 11147, 540, 21280, 577, 6390, 674, 29531, 267, 519, 4436, 4914, 14012, 543, 13030, 4960, 27891, 267, 607, 513, 1762, 4439, 569, 538, 513, 8265, 6370, 538, 7671, 31060, 269, 898, 729, 4989, 476, 3192, 274, 269, 634, 6337, 4951, 281, 513, 4137, 538, 513, 3109, 27576, 24743, 267, 13042, 607, 674, 29531, 267, 6849, 1055, 1996, 1776, 4137, 538, 513, 3043, 2384, 17507, 779, 24743, 267, 609, 513, 546, 5034, 5292, 802, 342, 10402, 2695, 520, 1154, 538, 519, 4282, 282, 519, 3109, 268, 3559, 5471, 539, 674, 29531, 5373, 2282, 267, 543, 513, 2960, 5500, 8004, 610, 6148, 513, 1279, 3620, 8529, 7911, 630, 10472, 729, 606, 543, 5766, 2106, 748, 5736, 264, 4881, 547, 6443, 1864, 282, 674, 29531, 543, 824, 1004, 593, 519, 4323, 267, 519, 3043, 268, 3559, 5471, 539, 2941, 2469, 883, 513, 524, 709, 577, 282, 674, 29531, 779, 3109, 25322, 3437, 31329, 6659, 607, 952, 547, 24362, 519, 524, 709, 4221, 2941, 593, 519, 1394, 267, 674, 29531, 779, 635, 10232, 7715, 3429, 1472, 282, 519, 2941, 554, 3291, 1194, 593, 519, 2666, 267, 674, 29531, 543, 1010, 635, 10232, 17729, 547, 14736, 1864, 267, 609, 1079, 3606, 1004, 8384, 269, 1656, 1100, 811, 546, 5034, 5292, 802, 342, 10402, 269, 634, 23031, 814, 10423, 569, 1044, 4963, 743, 532, 1472, 519, 1236, 3305, 880, 267, 2879, 6260, 1010, 8254, 538, 1018, 1660, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 23527, 1299, 21771, 1315, 4937, 1315, 8496, 1145, 543, 5842, 640, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2450, 1957, 269, 589, 275, 3800, 476, 13975, 1535, 476, 29574, 6515, 267, 1247, 4484, 2450, 1957, 3800, 476, 279, 269, 276, 1535, 476, 1556, 6279, 563, 304, 281, 2052, 594, 1820, 593, 513, 1957, 2450, 602, 568, 711, 6462, 676, 1250, 17002, 888, 288, 281, 898, 31963, 593, 519, 17002, 543, 3301, 538, 946, 269, 589, 1906, 23252, 949, 759, 1125, 519, 3561, 8850, 547, 6474, 519, 1957, 2450, 693, 1688, 267, 1247, 1866, 949, 2154, 8261, 11941, 610, 1256, 2688, 1957, 7306, 563, 304, 281, 1548, 568, 519, 10545, 1957, 2450, 585, 8228, 888, 288, 281, 634, 10545, 1957, 2450, 585, 8228, 568, 589, 1015, 267, 799, 3800, 476, 2918, 1535, 476, 4391, 6515, 563, 304, 281, 1548, 568, 519, 4102, 1957, 2450, 585, 8228, 888, 288, 281, 634, 4102, 1957, 2450, 585, 8228, 568, 589, 271, 267, 799, 3800, 476, 279, 6078, 1535, 476, 14093, 280, 6515, 563, 304, 281, 2052, 594, 2759, 513, 3677, 1957, 2450, 1524, 547, 513, 4130, 2450, 585, 8228, 888, 288, 281, 15742, 569, 267, 621, 779, 14323, 547, 2759, 1524, 513, 3677, 1957, 2450, 547, 513, 4130, 835, 585, 8228, 5301, 269, 16480, 267, 621, 779, 2629, 547, 2226, 519, 1482, 2460, 5223, 543, 2327, 602, 519, 1957, 568, 30000, 14961, 547, 2061, 1022, 8228, 1350, 9662, 563, 304, 281, 1548, 568, 519, 3017, 1063, 589, 3126, 543, 645, 3126, 1957, 7306, 888, 288, 281, 589, 3126, 1957, 7306, 723, 606, 2460, 5223, 540, 476, 272, 281, 18414, 273, 543, 616, 2966, 585, 2489, 8228, 5301, 269, 645, 3126, 1957, 7306, 723, 606, 2460, 5223, 540, 476, 272, 281, 18414, 273, 543, 616, 2966, 585, 16968, 543, 3915, 4580, 8228, 563, 18893, 532, 585, 519, 1318, 1957, 2450, 568, 513, 2629, 3815, 950, 621, 2501, 547, 8228, 269, 1635, 28809, 538, 519, 3561, 1826, 267, 8228, 1935, 267, 543, 1439, 14025, 267, 596, 666, 4584, 513, 1957, 2450, 602, 13352, 519, 3915, 269, 5457, 547, 2708, 519, 2460, 5223, 267, 10066, 267, 8244, 267, 543, 1942, 1247, 1818, 707, 3903, 269, 901, 786, 10018, 602, 707, 16493, 2097, 856, 26672, 573, 569, 267, 543, 602, 596, 1205, 519, 1034, 856, 540, 707, 8228, 5650, 563, 10666, 14161, 2806, 601, 267, 24614, 16869, 454, 288, 19023, 8228, 3318, 609, 1296, 540, 1995, 538, 519, 8228, 7706, 267, 14161, 2806, 601, 568, 1134, 268, 951, 539, 538, 519, 8228, 1184, 269, 1261, 568, 1990, 20454, 827, 29000, 1004, 538, 13844, 519, 1655, 4093, 689, 741, 8228, 4170, 269, 14161, 779, 15334, 814, 5280, 3875, 4213, 543, 2043, 12492, 9120, 7779, 16493, 602, 2743, 741, 1808, 2115, 563, 268, 594, 993, 513, 8228, 4274, 609, 1296, 540, 1995, 538, 1585, 8228, 2553, 269, 3733, 6791, 2882, 15558, 8228, 267, 3059, 8228, 267, 543, 5496, 8228, 269, 594, 993, 1634, 585, 1250, 3007, 547, 1469, 267, 1966, 9010, 1983, 267, 543, 7029, 547, 12419, 14222, 2164, 269, 594, 993, 6131, 547, 9363, 909, 3562, 15082, 609, 519, 5767, 7835, 538, 8228, 2029, 547, 1683, 5969, 12967, 3435, 269, 594, 993, 13730, 827, 23712, 609, 7218, 547, 2981, 741, 2093, 883, 10875, 16493, 269, 3367, 811, 827, 721, 0, 1432, 616, 930, 9342, 540, 519, 15080, 540, 32700, 888, 6343, 729, 835, 4222, 540, 519, 4930, 540, 1476, 539, 3130, 286, 476, 272, 20193, 4847, 2829, 547, 1118, 3664, 585, 2933, 269, 476, 274, 20193, 5795, 18322, 519, 6392, 547, 16765, 1248, 3664, 1500, 676, 519, 7022, 269, 476, 275, 20193, 3177, 18322, 609, 513, 1797, 547, 10038, 4123, 563, 1432, 568, 519, 6574, 4222, 540, 519, 15080, 540, 32700, 888, 1805, 21880, 2195, 543, 31808, 1145, 525, 454, 268, 3689, 9139, 540, 519, 1715, 2136, 2276, 563, 268, 6837, 1185, 519, 1379, 547, 4308, 609, 4914, 12602, 267, 17551, 2112, 267, 1118, 4708, 543, 1129, 21308, 563, 268, 16874, 519, 1379, 547, 4383, 7111, 4095, 12602, 563, 268, 16393, 1780, 4031, 602, 4299, 782, 2829, 563, 1432, 616, 476, 276, 18454, 540, 519, 15080, 540, 32700, 888, 1805, 21880, 2195, 1299, 6452, 558, 680, 880, 906, 6554, 9896, 513, 14097, 540, 19710, 609, 5333, 538, 476, 10082, 279, 269, 6554, 6707, 530, 3042, 513, 2112, 585, 7115, 1996, 519, 3703, 269, 6554, 7858, 7007, 606, 1439, 547, 519, 1977, 7169, 538, 519, 15521, 540, 8303, 267, 9896, 538, 476, 9965, 274, 563, 1432, 941, 476, 273, 18454, 540, 519, 15080, 540, 32700, 888, 8005, 28322, 689, 519, 15080, 540, 32700, 888, 763, 3703, 3576, 5413, 540, 519, 4930, 540, 1476, 539, 3130, 269, 4340, 547, 519, 15521, 540, 8303, 267, 519, 11182, 7178, 540, 519, 3312, 476, 1724, 10125, 941, 519, 5539, 540, 519, 2136, 2276, 269, 7201, 519, 15080, 540, 32700, 267, 6207, 9322, 729, 2838, 585, 519, 772, 2529, 269, 547, 1852, 602, 2244, 563, 1432, 729, 519, 1292, 22920, 540, 519, 15080, 540, 32700, 888, 15152, 519, 15080, 540, 32700, 519, 3084, 2229, 7307, 547, 3035, 513, 3099, 540, 18454, 971, 607, 519, 5137, 540, 10324, 13623, 547, 17982, 8804, 267, 4914, 1894, 267, 543, 4108, 12602, 855, 519, 1034, 1271, 9740, 1131, 581, 519, 19566, 18103, 12099, 799, 16798, 3160, 2126, 585, 6693, 3963, 729, 519, 15080, 540, 32700, 711, 3811, 888, 27407, 267, 519, 15080, 540, 32700, 8959, 1317, 789, 941, 18705, 547, 1832, 519, 3084, 2229, 607, 4617, 607, 2009, 281, 1703, 729, 1100, 1379, 547, 17997, 4031, 269, 3143, 16324, 7936, 610, 3084, 10470, 269, 2549, 754, 906, 2877, 547, 723, 513, 796, 29434, 748, 8917, 563, 1432, 941, 519, 9342, 540, 519, 4930, 888, 2080, 616, 930, 540, 519, 9342, 540, 519, 15080, 540, 32700, 2433, 476, 272, 269, 898, 4847, 519, 2197, 547, 723, 930, 1106, 540, 2229, 269, 1879, 519, 1977, 10125, 2968, 1863, 689, 519, 3703, 7276, 267, 519, 1004, 4769, 1406, 723, 4896, 547, 1827, 873, 543, 2327, 519, 2197, 13978, 593, 513, 5347, 543, 7123, 1576, 563, 1432, 729, 835, 540, 519, 9342, 540, 519, 15080, 540, 32700, 888, 763, 4972, 540, 27308, 267, 519, 4972, 540, 5403, 531, 6796, 543, 519, 4972, 540, 14579, 16457, 1851, 1866, 941, 3964, 269, 898, 15469, 513, 1978, 2631, 540, 11558, 543, 9316, 1063, 1114, 2829, 269, 898, 4847, 519, 6239, 6554, 547, 1129, 21308, 543, 4708, 9388, 609, 824, 2477, 4758, 4473, 547, 513, 7123, 8378, 563, 6701, 972, 1022, 20924, 538, 519, 15080, 540, 32700, 888, 763, 15080, 540, 32700, 9090, 7012, 1406, 3501, 2443, 538, 1249, 267, 621, 1185, 513, 2603, 540, 20924, 2443, 855, 621, 3964, 4808, 602, 5280, 519, 4182, 4473, 909, 593, 922, 3952, 269, 589, 2603, 540, 1004, 1810, 1406, 2731, 1589, 3810, 540, 519, 15080, 540, 32700, 1317, 789, 941, 530, 3754, 609, 20924, 563, 1692, 1705, 519, 15080, 540, 32700, 1860, 519, 2229, 888, 763, 15080, 941, 21266, 1540, 8185, 2509, 519, 1533, 6608, 4758, 519, 6239, 2229, 1360, 2370, 1379, 547, 1852, 519, 2197, 20833, 267, 20019, 543, 17215, 269, 634, 3844, 6554, 1223, 711, 1780, 1022, 1876, 1256, 1310, 11268, 269, 0, 2026, 649, 3356, 538, 519, 3059, 2085, 267, 538, 16512, 8852, 543, 2757, 1957, 1870, 6486, 616, 7444, 535, 8172, 563, 10521, 21282, 4066, 910, 715, 15598, 5288, 269, 30040, 8943, 267, 1796, 23217, 693, 519, 4099, 267, 7393, 938, 4948, 2729, 609, 3728, 267, 5150, 267, 543, 15774, 5905, 9557, 269, 1809, 1018, 4010, 616, 789, 267, 543, 875, 798, 789, 8428, 888, 4131, 781, 5490, 883, 1142, 540, 891, 4241, 4066, 563, 1432, 568, 715, 15598, 888, 301, 15598, 267, 7555, 585, 14033, 12197, 9442, 267, 568, 513, 2110, 24365, 12616, 14479, 2029, 602, 2636, 1079, 3457, 547, 5968, 950, 4547, 1369, 513, 1906, 17744, 540, 1142, 824, 563, 2791, 1522, 723, 2907, 1031, 715, 15598, 1510, 1256, 16734, 621, 269, 1403, 596, 4312, 2479, 5293, 707, 16335, 936, 513, 8569, 12363, 547, 1118, 513, 6718, 267, 596, 4312, 2693, 1031, 715, 15598, 563, 301, 15598, 1568, 1759, 593, 5925, 4908, 8446, 630, 27184, 2839, 264, 2035, 269, 1323, 715, 15598, 3926, 267, 971, 607, 513, 16335, 267, 666, 957, 607, 606, 715, 15598, 5467, 610, 606, 715, 15598, 11090, 269, 1306, 513, 5467, 267, 621, 666, 23074, 1239, 689, 715, 15598, 16776, 269, 769, 4334, 267, 607, 513, 11090, 267, 621, 666, 6494, 1239, 547, 824, 715, 15598, 3457, 610, 4309, 1239, 689, 606, 715, 15598, 5467, 563, 1432, 568, 513, 30040, 8943, 888, 4002, 519, 824, 1688, 267, 513, 30040, 8943, 610, 16797, 15863, 8943, 568, 513, 1079, 8820, 536, 2117, 1712, 602, 666, 581, 1085, 10165, 1210, 513, 16335, 781, 8254, 610, 513, 30040, 5467, 3926, 269, 4495, 1085, 10165, 267, 621, 3533, 2488, 1569, 547, 3059, 1543, 1107, 581, 621, 513, 2546, 267, 513, 3381, 267, 513, 3346, 3556, 267, 610, 513, 31923, 10957, 563, 304, 305, 9479, 9411, 519, 16669, 2872, 855, 723, 1336, 7961, 10179, 762, 3096, 538, 2221, 781, 3059, 1158, 269, 1358, 616, 1312, 3593, 7888, 543, 11684, 267, 5827, 540, 8066, 513, 1713, 2179, 540, 1239, 3379, 547, 2757, 536, 2117, 3941, 563, 1103, 519, 6370, 540, 834, 304, 305, 3009, 5288, 269, 715, 15598, 2437, 891, 1079, 4066, 12081, 538, 519, 26750, 609, 741, 2189, 7207, 269, 1284, 786, 2263, 741, 16198, 543, 946, 2665, 538, 713, 3391, 269, 13773, 22934, 607, 649, 1232, 1712, 519, 2104, 540, 1870, 6486, 543, 811, 563, 1692, 3657, 715, 15598, 543, 30040, 32011, 13242, 888, 6124, 4066, 899, 14033, 12197, 9442, 630, 301, 15598, 264, 543, 16797, 15863, 630, 304, 305, 264, 9479, 723, 19117, 875, 649, 2170, 609, 1239, 269, 7183, 811, 865, 982, 538, 519, 1158, 540, 1870, 6486, 267, 5985, 11033, 267, 543, 4687, 1344, 269, 769, 3695, 834, 304, 305, 3009, 5288, 269, 715, 15598, 2437, 1577, 781, 4983, 741, 3096, 538, 891, 2127, 563, 1103, 6355, 21998, 454, 2005, 781, 5051, 1455, 585, 4648, 547, 4123, 538, 2757, 1957, 2861, 1870, 6486, 585, 3059, 8925, 269, 634, 6117, 3196, 3297, 713, 6521, 286, 715, 15598, 543, 30040, 9479, 563, 301, 15598, 6355, 21998, 454, 1103, 519, 2013, 540, 715, 15598, 1870, 6486, 267, 519, 715, 15598, 13863, 11251, 1369, 519, 3556, 8637, 519, 8227, 781, 3346, 3877, 269, 1879, 519, 3556, 568, 512, 11474, 1996, 606, 715, 15598, 10276, 12574, 16335, 267, 519, 3593, 781, 3346, 1344, 568, 14678, 10268, 593, 519, 5496, 267, 14123, 2656, 543, 2653, 3346, 1840, 563, 1103, 519, 1412, 301, 15598, 5288, 269, 30040, 3009, 1870, 3556, 262, 6370, 267, 715, 15598, 814, 513, 2101, 5413, 540, 15774, 5872, 269, 3807, 513, 7148, 1996, 513, 15095, 3926, 267, 543, 21350, 10042, 910, 707, 3346, 9623, 568, 3838, 1510, 8506, 1022, 8924, 563, 5331, 1373, 693, 513, 13033, 2680, 267, 9319, 519, 646, 11998, 5385, 540, 2757, 1870, 6486, 267, 543, 3079, 26378, 707, 715, 15598, 10276, 12574, 1870, 3556, 1996, 513, 1761, 7817, 610, 7649, 781, 6049, 269, 1230, 1597, 1304, 267, 1318, 888, 304, 305, 8943, 6355, 21998, 454, 288, 30040, 3009, 1870, 3556, 267, 593, 519, 824, 1688, 267, 3340, 519, 19175, 547, 1448, 741, 6049, 781, 8254, 693, 519, 30040, 3009, 9102, 593, 519, 3556, 269, 4495, 1085, 10165, 267, 519, 16335, 12987, 519, 3593, 547, 1491, 606, 2962, 267, 899, 6679, 513, 2546, 610, 9494, 3346, 1344, 563, 304, 305, 3009, 1870, 6486, 2709, 519, 2147, 5413, 540, 14874, 1957, 1247, 1373, 1942, 15807, 269, 1358, 849, 1683, 8112, 538, 2474, 540, 16046, 547, 7270, 267, 1808, 13941, 3817, 267, 610, 3059, 2923, 267, 3246, 513, 3638, 3593, 1995, 563, 1607, 25040, 519, 1448, 602, 950, 6849, 1055, 715, 15598, 5288, 269, 30040, 3009, 1870, 6486, 267, 1312, 3142, 741, 2189, 9342, 547, 519, 3349, 563, 1103, 16353, 9796, 906, 454, 2691, 596, 2811, 678, 5241, 998, 513, 2638, 719, 1899, 610, 1178, 25290, 513, 2656, 4234, 974, 693, 707, 5172, 22538, 2946, 267, 715, 15598, 543, 30040, 9479, 1404, 513, 1713, 1909, 538, 1818, 707, 11834, 2656, 267, 2653, 267, 543, 5905, 1652, 563, 301, 15598, 538, 16353, 9796, 906, 454, 301, 15598, 267, 513, 3346, 1652, 8569, 1505, 267, 568, 1419, 519, 2029, 2324, 3297, 519, 10207, 540, 707, 5172, 5985, 8569, 8924, 899, 5616, 9796, 610, 11197, 9796, 269, 2659, 16335, 31825, 609, 519, 8569, 12363, 1210, 715, 15598, 547, 18172, 10141, 8569, 1344, 267, 782, 1369, 7643, 563, 21953, 267, 715, 15598, 781, 1909, 3884, 1405, 1175, 3908, 547, 8569, 4393, 269, 1306 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 4864, 476, 4350, 279, 267, 7054, 2742, 772, 6447, 31348, 779, 1272, 1185, 13175, 547, 19586, 281, 1352, 1185, 1044, 711, 1881, 602, 519, 6014, 24804, 2754, 538, 645, 637, 331, 879, 585, 799, 1352, 5249, 729, 2469, 547, 581, 5277, 730, 267, 6028, 1200, 2816, 1652, 269, 1656, 1200, 28867, 867, 1185, 2165, 3990, 1200, 25755, 269, 2755, 972, 729, 1100, 1876, 538, 5239, 476, 4350, 279, 23616, 6819, 602, 1875, 11219, 31974, 1223, 711, 723, 6014, 4557, 1218, 267, 930, 28867, 3581, 941, 11235, 547, 1205, 7759, 540, 873, 269, 769, 7054, 2742, 772, 6447, 31348, 779, 2013, 267, 519, 1966, 729, 602, 1200, 6014, 1071, 268, 1084, 1218, 1223, 1100, 3476, 6488, 519, 1747, 543, 1185, 6410, 856, 269, 634, 1875, 11219, 28779, 28867, 867, 267, 2687, 547, 7054, 2742, 267, 729, 12922, 547, 3398, 824, 6014, 4557, 1218, 267, 543, 2094, 7642, 543, 1875, 11219, 31974, 14201, 1406, 4847, 547, 2671, 2713, 2230, 267, 1352, 1185, 1100, 3903, 855, 547, 4734, 269, 7324, 519, 824, 3584, 2156, 3737, 676, 7054, 2742, 538, 713, 4484, 547, 1200, 3659, 670, 32499, 17389, 335, 3881, 538, 12670, 267, 568, 1200, 2816, 3510, 269, 24664, 1176, 267, 519, 8092, 525, 591, 7171, 538, 12670, 5795, 1200, 10479, 547, 798, 1893, 4245, 538, 519, 6014, 2950, 540, 28228, 333, 3122, 6199, 543, 17793, 755, 611, 339, 267, 1312, 2282, 645, 637, 331, 879, 267, 3246, 1200, 1312, 609, 1797, 547, 2661, 607, 1134, 607, 3850, 1200, 547, 3136, 12391, 585, 1200, 3993, 269, 589, 2370, 3063, 4747, 729, 6383, 676, 13465, 4497, 906, 563, 7628, 519, 3781, 540, 5181, 476, 1789, 628, 2469, 883, 5239, 476, 272, 560, 267, 519, 31263, 4084, 540, 631, 749, 5341, 26684, 339, 538, 13722, 17012, 935, 807, 729, 4625, 10969, 730, 269, 769, 1249, 267, 519, 4254, 1185, 621, 538, 585, 519, 7249, 2958, 1218, 281, 14181, 564, 523, 4436, 15076, 1185, 1651, 1243, 519, 1857, 547, 5605, 2313, 26902, 26802, 593, 741, 1259, 547, 519, 31263, 4084, 269, 1717, 267, 519, 6014, 30798, 1185, 1044, 19230, 609, 6190, 942, 543, 2533, 666, 576, 1194, 269, 3767, 519, 14220, 4254, 540, 14181, 564, 523, 16586, 543, 7264, 540, 631, 749, 5341, 26684, 339, 11542, 1354, 519, 7450, 540, 519, 31263, 4084, 269, 853, 2158, 941, 16207, 267, 519, 7450, 729, 7745, 1930, 543, 519, 9703, 10032, 269, 634, 4254, 1705, 711, 22302, 519, 22560, 20801, 338, 543, 824, 9161, 3688, 269, 2991, 602, 3781, 267, 519, 31263, 4084, 1223, 1100, 3476, 581, 1031, 563, 292, 27996, 28553, 5956, 1200, 1433, 609, 513, 9159, 6609, 269, 2701, 6645, 540, 513, 5870, 609, 513, 11427, 269, 631, 269, 689, 22540, 269, 2311, 713, 942, 267, 661, 27996, 5030, 609, 1200, 3237, 7338, 543, 15576, 807, 28553, 538, 24815, 269, 11427, 269, 631, 269, 4941, 547, 32164, 3433, 609, 1200, 1920, 1932, 269, 901, 6999, 729, 538, 1260, 11772, 1043, 547, 661, 27996, 28553, 269, 2991, 782, 267, 607, 3413, 23308, 968, 288, 787, 753, 2223, 11427, 269, 631, 269, 543, 1200, 1920, 1185, 4986, 547, 4250, 269, 1809, 11427, 269, 631, 269, 1500, 513, 811, 20310, 3948, 281, 968, 296, 1616, 519, 7911, 547, 1831, 513, 22510, 1480, 1373, 1700, 320, 812, 543, 711, 513, 13303, 1848, 901, 4845, 1131, 1831, 519, 17259, 11325, 1448, 585, 661, 27996, 28553, 779, 1353, 540, 967, 24934, 337, 1588, 543, 519, 2817, 4149, 3469, 626, 3872, 1062, 269, 4173, 1134, 9113, 4624, 1433, 7902, 896, 519, 2140, 968, 18662, 585, 15016, 12579, 2433, 4065, 7201, 519, 21647, 892, 538, 519, 2136, 2276, 538, 476, 4350, 279, 563, 23562, 823, 538, 519, 1576, 540, 4436, 1686, 267, 7642, 941, 7142, 547, 1689, 741, 4408, 281, 519, 1101, 942, 998, 519, 4367, 540, 630, 21865, 588, 25634, 1944, 264, 1920, 4408, 1282, 519, 661, 2006, 322, 11692, 267, 519, 2034, 942, 998, 519, 4367, 540, 25471, 1101, 4408, 281, 968, 306, 4673, 892, 585, 6014, 2021, 543, 968, 29994, 892, 585, 6014, 2367, 630, 20606, 476, 1704, 267, 476, 4350, 279, 1040, 4935, 267, 7642, 941, 2206, 1194, 856, 543, 1500, 547, 1796, 6306, 689, 519, 1964, 540, 2486, 269, 1403, 519, 2016, 2012, 7902, 593, 606, 13166, 9516, 1592, 540, 6014, 4408, 9783, 676, 519, 21647, 267, 1100, 3606, 2012, 729, 2838, 269, 634, 12512, 849, 4718, 547, 621, 602, 7642, 945, 1185, 4957, 741, 1920, 4408, 538, 1931, 547, 11100, 538, 543, 2057, 7130, 1185, 547, 2132, 547, 741, 3105, 4408, 563, 2026, 513, 18555, 2173, 1393, 4035, 267, 772, 3464, 3121, 12379, 518, 6308, 729, 6065, 569, 17071, 538, 519, 4064, 540, 519, 21647, 269, 4595, 5147, 476, 1691, 267, 476, 4350, 274, 267, 519, 4521, 585, 519, 10644, 540, 2637, 13443, 6779, 1078, 5510, 338, 7428, 1185, 1044, 538, 1198, 267, 799, 3656, 1242, 519, 7142, 10322, 16478, 540, 519, 18555, 267, 519, 9420, 267, 519, 5042, 569, 16981, 267, 3134, 850, 696, 923, 267, 543, 1866, 269, 772, 3464, 3121, 1185, 13984, 519, 1152, 6014, 9872, 585, 519, 18555, 2173, 1393, 538, 5125, 267, 519, 968, 29994, 4345, 3832, 570, 879, 321, 560, 636, 5443, 534, 560, 5306, 892, 538, 12670, 1284, 328, 29967, 1619, 324, 269, 7201, 519, 13303, 12512, 267, 519, 946, 540, 1129, 1893, 729, 24193, 538, 1857, 3506, 267, 543, 538, 476, 4350, 277, 267, 6014, 1053, 941, 16934, 689, 5238, 23695, 547, 519, 2115, 540, 519, 18555, 2173, 1393, 269, 4340, 547, 513, 968, 9223, 32666, 585, 2506, 580, 7847, 2223, 799, 1352, 1185, 11643, 538, 4989, 476, 4350, 279, 267, 772, 3464, 3121, 1185, 1044, 8036, 607, 513, 2978, 11832, 585, 4791, 26129, 543, 729, 15691, 547, 960, 538, 713, 2361, 538, 519, 2136, 2276, 269, 634, 3061, 687, 593, 891, 11147, 630, 13768, 5147, 476, 1704, 267, 476, 4350, 279, 264, 1397, 602, 538, 19220, 540, 519, 2352, 2053, 267, 519, 476, 866, 4458, 6040, 1185, 711, 4503, 1200, 2631, 540, 9644, 269, 1358, 2408, 547, 1397, 772, 3464, 3121, 543, 1200, 11078, 609, 741, 3237, 14120, 835, 2063, 942, 1354, 772, 3464, 3121, 8977, 539, 585, 519, 2475, 563, 4002, 4873, 476, 1704, 267, 519, 6014, 1855, 25393, 545, 10837, 5359, 602, 538, 519, 2063, 2185, 2395, 267, 519, 13303, 8128, 723, 556, 10784, 839, 1881, 741, 986, 1749, 593, 22538, 15530, 538, 12670, 543, 11992, 538, 519, 2197, 267, 799, 1063, 4873, 476, 1724, 543, 476, 1704, 723, 3366, 547, 519, 10654, 338, 540, 476, 273, 267, 1822, 7642, 269, 4438, 519, 1284, 31483, 6243, 267, 972, 1185, 1044, 513, 14762, 918, 3530, 2465, 3873, 23677, 738, 584, 1765, 691, 1235, 543, 30921, 18374, 4718, 1978, 22538, 525, 607, 741, 5321, 267, 1141, 789, 1131, 6108, 3368, 540, 741, 2395, 543, 17334, 7234, 1148, 267, 3332, 267, 543, 6214, 269, 7201, 519, 21647, 267, 713, 7613, 3533, 20374, 282, 789, 16143, 1016, 951, 633, 2238, 1851, 891, 1863, 17024, 269, 634, 1857, 12106, 729, 1102, 6479, 609, 1217, 619, 269, 1635, 519, 942, 540, 519, 9947, 328, 5025, 330, 5406, 267, 538, 519, 2796, 540, 799, 891, 986, 1749, 941, 5645, 856, 267, 519, 3312, 7817, 25279, 1185, 7361, 20374, 269, 744, 560, 839, 4601, 267, 519, 986, 1749, 941, 13389, 968, 21468, 1606, 3469, 2609, 1848, 769, 1249, 267, 2705, 267, 789, 27648, 519, 1101, 2527, 268, 541, 6135, 540, 7642, 269, 634, 10579, 540, 31666, 7701, 267, 9478, 717, 984, 321, 1564, 267, 1185, 24298, 519, 9837, 609, 519, 533, 603, 344, 1913, 281, 968, 5978, 10957, 568, 669, 4618, 2044, 267, 711, 519, 1876, 3034, 288, 1906, 14455, 30679, 6681, 3515, 538, 2221, 779, 3390, 540, 519, 808, 6686, 4134, 3832, 681, 1495, 338, 577, 879, 14441, 513, 11000, 538, 12670, 779, 968, 302, 3559, 808, 714, 577, 752, 892, 14271, 698, 4084, 676, 968, 29309, 3204, 2088, 13744, 553, 892, 593, 519, 1888, 968, 9824, 16406, 2042, 540, 519, 6014, 7991, 2221, 1848, 3204, 2088, 13744, 553, 1185, 6594, 609, 1454, 11428, 693, 519, 670, 5255, 338, 577, 2544, 24166, 5884, 654, 1170, 839, 577, 10762, 964, 7225, 550, 4548, 538, 12670, 543, 10692, 2182, 547, 3914, 1200, 3804, 540, 4742, 513, 14558, 328, 269, 3502, 530, 5109, 547, 4224, 519, 10935, 538, 891, 30223, 2053, 267, 1256, 12666, 14558, 529, 945, 1522, 723, 1044, 9797, 20916, 4724, 519, 3921, 1588, 540, 2021, 267, 971, 607, 24955, 645, 2801, 1188, 267, 941, 711, 8348, 547, 3921, 664, 1200, 269, 4173, 3803, 5098, 729, 513, 10300, 12112, 545, 1521, 1047, 593, 519, 1888, 968, 9802, 513, 19716, 15579, 681, 13741, 28649, 8433, 9495, 898, 729, 15887, 6798, 7665, 667, 1329, 655, 2335, 945, 538, 476, 4350, 276, 1500, 1200, 519, 1101, 4775, 14558, 328, 538, 1686, 269, 21452, 267, 538, 19220, 540, 519, 13730, 11685, 538, 930, 20453, 543, 22027, 3823, 519, 14496, 540, 3204, 2088, 13744, 553, 779, 3921, 1588, 267, 1352, 10150, 519, 2463, 1256, 540, 930, 31249, 14558, 529, 267, 945, 8754, 1721, 628, 9619, 1200, 607, 2605, 7564, 2544, 514, 681, 13741, 10719, 610, 968, 3712, 548, 6558, 1848, 634, 808, 6686, 4134, 3832, 681, 1495, 338, 577, 879, 15151, 9053, 547, 1404, 621, 2922, 563, 288, 13431, 296, 25982, 267, 21238, 5576, 6686, 16379, 1185, 6594, 1876, 267, 15257, 267, 543, 6138, 693, 519, 2160, 540, 21499, 269, 4595, 519, 3735, 476, 4572, 271, 338, 267, 646, 1185, 5249, 585, 519, 3486, 12948, 2777, 1234, 527, 2401, 1299, 3213, 269, 4438, 519, 4436, 12289, 540, 15212, 267, 646, 5949, 547, 581, 593, 513, 1870, 7552, 547, 5333, 269, 1261, 1904, 539, 547, 3251, 13383, 267, 6028, 3297, 1010, 7385, 543, 1126, 269, 589, 3659, 945, 1185, 10272, 21499, 689, 5507, 11339, 827, 1010, 6643, 609, 5576, 6686, 16379, 779, 7385, 267, 19129, 572, 269, 769, 1010, 4484, 267, 646, 4744, 340, 3547, 21238, 689, 13059, 547, 15212, 1813, 547, 519, 1007, 12512, 779, 10182, 540, 27421, 2509, 519, 3486, 12948, 2872, 269, 769, 1769, 540, 519, 31587, 8594, 267, 513, 10151, 9668, 689, 1010, 1920, 8604, 899, 513, 1732, 4781, 547, 5576, 6686, 16379, 982, 4947, 1394, 547, 21499, 563, 763, 711, 528, 13124, 28974, 2398, 11701, 2069, 1062, 1185, 12926, 6322, 585, 24150, 543, 9015, 267, 1419, 8840, 1453, 779, 12209, 2038, 593, 269, 769, 519, 968, 288, 24849, 1695, 892, 630, 3891, 1962, 269, 585, 968, 331, 913, 14615, 5753, 779, 5851, 593, 4864, 14259, 29967, 324, 538, 12670, 779, 3844, 18664, 965, 267, 513, 1114, 6891, 556, 11220, 281, 1453, 3838, 538, 3375, 6194, 998, 513, 968, 14399, 779, 7027, 5608, 519, 3804, 1373, 547, 2981, 873, 883, 4961, 2864, 982, 5396, 269, 11283, 531, 10751, 729, 24193, 543, 5520, 941, 9415, 547, 1711, 519, 5790, 540, 513, 1753, 269, 2142, 622, 19161, 518, 267, 513, 12016, 543, 2212, 540, 519, 1453, 779, 1753, 2094, 476, 4572, 273, 267, 3576, 513, 1895, 540, 1453, 609, 1200, 950, 1352, 32164, 3603, 547, 21157, 538, 476, 4350, 275, 543, 8120, 547, 5125, 1082, 2053, 538, 519, 1671, 5224, 1296, 547, 15063, 811, 1453, 269, 634, 6337, 1397, 1942, 25390, 1453, 693, 519, 8830, 574, 11812, 540, 519, 1453, 779, 1753, 563, 3412, 9712, 2299, 1310, 519, 21647, 25868, 1379, 267, 593, 5130, 476, 1789, 267, 476, 4350, 274, 267, 12670, 2861, 1234, 15939, 6154, 1512, 8547, 519, 808, 6686, 4134, 3832, 808, 1872, 754, 327, 559, 10623, 12462, 8333, 527, 6590, 585, 519, 26859, 540, 6014, 15272, 14615, 4166, 547, 581, 1634, 607, 808, 1872, 754, 25575, 6359, 320, 12462, 312, 1926, 1325, 12011, 1695, 26158, 634, 3919, 779, 3804, 729, 547, 3142, 6014, 1453, 2250, 519, 2085, 540, 10026, 1153, 547, 3106, 538, 21157, 269, 769, 519, 6107, 7110, 540, 519, 5840, 4345, 2583, 12259, 1329, 4565, 3430, 540, 5988, 476, 1704, 267, 476, 4350, 279, 267, 519, 1453, 779, 4606, 616, 4330, 607, 789, 8977, 585, 21157, 281, 3502, 1152, 1705, 789, 723, 547, 11883, 609, 519, 9668, 689, 741, 3237, 543, 3885, 267, 855, 849, 609, 519, 10462, 827, 741, 2104, 563, 2304, 796, 30009, 2278, 7249, 7806, 12885, 519, 4436, 7823, 6172, 828, 543, 21997, 19555, 2335, 14208, 518, 4802, 267, 1759, 538, 853, 18636, 326, 691, 267, 593, 1010, 14232, 16806, 609, 918, 7564, 1492, 5576, 13232, 267, 945, 729, 2808, 513, 968, 295, 2788, 11219, 1168, 892, 538, 13303, 1612, 28917, 269, 634, 968, 25187, 585, 519, 10466, 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 ]
[ 14452, 267, 834, 6546, 781, 1317, 1934, 538, 8303, 267, 1919, 960, 8335, 982, 1394, 1753, 269, 12182, 1564, 2709, 811, 8465, 18226, 3108, 547, 13918, 8436, 945, 1522, 12446, 2663, 610, 1616, 547, 2972, 8289, 572, 4370, 1510, 20468, 827, 7508, 741, 1985, 7594, 3010, 27880, 6743, 11821, 543, 1287, 31113, 608, 13094, 267, 834, 32452, 256, 2334, 1797, 649, 666, 2263, 519, 4190, 10754, 540, 8303, 3476, 1354, 4947, 1394, 585, 12129, 256, 594, 6999, 1169, 1747, 1185, 971, 2186, 12417, 15323, 9617, 950, 1352, 8737, 6340, 267, 519, 3649, 3438, 14059, 741, 3349, 8876, 8949, 8286, 4904, 609, 2848, 5446, 3943, 11951, 269, 1717, 267, 1247, 3025, 3323, 11981, 741, 7188, 2996, 267, 8861, 7948, 1405, 948, 855, 5469, 602, 1200, 6084, 3240, 5433, 16168, 269, 898, 678, 14217, 10978, 569, 267, 22348, 1200, 602, 3006, 1932, 1454, 10761, 666, 25657, 1256, 519, 1655, 13807, 10165, 16131, 269, 1656, 3976, 3459, 8861, 781, 6397, 7045, 538, 1565, 827, 15191, 18848, 543, 922, 2360, 593, 938, 4703, 1282, 12599, 563, 9572, 338, 285, 692, 21206, 5401, 630, 514, 3210, 547, 707, 1246, 5346, 5048, 2567, 3371, 781, 606, 4244, 10678, 609, 513, 1445, 593, 11585, 3079, 540, 7350, 1384, 30342, 7138, 1194, 267, 8861, 3838, 1200, 6161, 609, 519, 7874, 3649, 3438, 3957, 14639, 269, 1261, 669, 3089, 1194, 28663, 543, 10709, 539, 1524, 2509, 1200, 1274, 267, 22090, 27128, 267, 834, 2791, 917, 267, 1250, 15210, 1126, 267, 4872, 2484, 2476, 723, 2189, 2081, 1813, 547, 3604, 538, 942, 10851, 269, 1284, 1289, 713, 1412, 27826, 18848, 10086, 799, 2306, 11941, 4101, 7620, 269, 1809, 1810, 1405, 5855, 282, 4166, 2614, 267, 707, 1560, 786, 1451, 547, 6474, 891, 1007, 13467, 3010, 10501, 1190, 267, 8861, 20402, 267, 834, 11742, 10851, 286, 1548, 1281, 602, 1611, 267, 14639, 8119, 2060, 1000, 1074, 1782, 4064, 2407, 540, 7279, 267, 1352, 19557, 32348, 607, 646, 6045, 519, 1523, 540, 3047, 1373, 5258, 883, 476, 2190, 6810, 1759, 593, 942, 1107, 1818, 1142, 3296, 2099, 835, 5662, 540, 519, 1554, 780, 257, 17764, 2437, 3154, 6244, 8861, 267, 6368, 1620, 1946, 1919, 8604, 865, 6404, 909, 1934, 3379, 547, 1200, 18241, 9381, 4884, 269, 901, 3750, 19945, 2287, 13414, 6825, 519, 4098, 540, 8861, 781, 22906, 609, 7851, 267, 5895, 525, 267, 543, 782, 1919, 1644, 547, 3695, 938, 5318, 1158, 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, 9223, 281, 3503, 513, 3818, 31547, 2243, 585, 519, 1739, 2376, 281, 9137, 281, 6004, 269, 543, 11427, 269, 20831, 1185, 2141, 6170, 741, 4832, 14812, 538, 513, 1507, 15678, 693, 519, 15798, 728, 2282, 741, 554, 32528, 269, 2290, 1032, 267, 2705, 267, 6004, 269, 476, 20831, 1500, 513, 2603, 540, 2724, 538, 1010, 12051, 267, 865, 789, 4956, 547, 979, 547, 513, 4914, 2197, 543, 3251, 693, 513, 2731, 1434, 15678, 269, 1358, 24363, 547, 8303, 267, 543, 8452, 693, 513, 476, 276, 3613, 541, 15678, 3735, 538, 519, 10543, 269, 1358, 2219, 789, 1131, 723, 547, 979, 547, 5127, 17237, 267, 1317, 538, 602, 1507, 15678, 1141, 789, 1031, 547, 3251, 538, 519, 2250, 267, 1100, 6980, 941, 6039, 1310, 5722, 538, 519, 10543, 269, 1358, 941, 14281, 547, 581, 5143, 602, 519, 15678, 6039, 12129, 2394, 4557, 269, 834, 10190, 1018, 616, 519, 2053, 540, 6980, 8119, 4280, 11427, 269, 20831, 269, 834, 11039, 267, 8496, 600, 267, 649, 4196, 14254, 689, 5722, 547, 22221, 267, 12899, 689, 12964, 547, 1614, 267, 7401, 689, 2185, 547, 2947, 267, 543, 12129, 689, 3670, 547, 4557, 1701, 834, 3719, 602, 15991, 3762, 1022, 942, 585, 721, 547, 1294, 519, 2749, 10590, 1767, 11427, 269, 20831, 563, 12585, 912, 9223, 281, 769, 519, 2376, 267, 1946, 941, 6004, 269, 543, 11427, 269, 20831, 14281, 676, 519, 7594, 2053, 693, 519, 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, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 10167, 540, 2029, 267, 2528, 267, 543, 3961, 538, 4207, 5824, 3013, 998, 519, 7828, 540, 5824, 1977, 6880, 335, 6064, 5708, 269, 1284, 786, 2263, 875, 8441, 538, 3059, 2792, 4066, 971, 607, 16389, 543, 1514, 2923, 5867, 723, 9927, 519, 1259, 2043, 1921, 267, 1106, 3347, 267, 543, 6330, 741, 2686, 9163, 1369, 519, 3148, 781, 3309, 1914, 32241, 5251, 269, 1635, 6313, 1883, 5931, 267, 4798, 267, 543, 8658, 267, 649, 2832, 547, 1683, 513, 13857, 543, 2565, 2079, 540, 519, 1909, 540, 2029, 538, 5935, 5824, 343, 2833, 543, 16697, 2456, 780, 2414, 2253, 267, 649, 1590, 1101, 1174, 519, 3140, 543, 2686, 8658, 602, 20690, 5824, 1977, 6880, 335, 6064, 269, 1306, 513, 24848, 516, 540, 2257, 5708, 267, 6880, 335, 6064, 7153, 538, 519, 476, 2735, 271, 338, 607, 513, 3210, 547, 519, 4028, 6639, 7760, 540, 519, 942, 269, 10886, 1242, 676, 922, 29711, 1014, 5075, 540, 519, 2104, 267, 6880, 335, 6064, 7710, 4798, 971, 607, 5691, 4641, 267, 5841, 4987, 267, 543, 2166, 321, 3073, 338, 267, 1419, 32215, 532, 2055, 1472, 1379, 267, 8116, 267, 543, 4187, 269, 2755, 2038, 23200, 540, 519, 9135, 22157, 547, 1445, 593, 17454, 12677, 5468, 267, 2663, 1568, 9450, 547, 6451, 2518, 5380, 543, 2199, 1102, 27928, 269, 901, 6521, 4847, 585, 519, 11944, 540, 3982, 6237, 7648, 267, 1519, 5824, 1977, 6880, 335, 6064, 780, 4263, 519, 2295, 540, 5824, 1977, 6880, 335, 6064, 6013, 513, 6161, 609, 519, 2081, 538, 799, 2029, 18657, 919, 1480, 1894, 543, 5546, 1367, 543, 7104, 9163, 269, 14301, 593, 6436, 540, 2022, 16058, 1143, 543, 1098, 16058, 1143, 267, 891, 6386, 4161, 2757, 10822, 2456, 1063, 3425, 543, 6191, 267, 5214, 543, 10991, 267, 2067, 543, 5841, 269, 5502, 267, 789, 4952, 10316, 9988, 5827, 540, 10489, 2056, 2168, 7687, 543, 28196, 1456, 1018, 621, 1797, 547, 581, 1480, 269, 769, 3257, 865, 267, 789, 849, 6318, 1271, 5683, 543, 2797, 2055, 827, 519, 6286, 540, 971, 14759, 585, 12790, 2950, 543, 1514, 5126, 5322, 780, 3080, 540, 519, 1883, 2934, 540, 5824, 1977, 6880, 335, 6064, 568, 922, 6278, 609, 2152, 540, 1893, 267, 2528, 267, 543, 6041, 269, 1280, 1383, 267, 538, 1010, 25761, 960, 834, 306, 5844, 11470, 4678, 2088, 2437, 9375, 6276, 7338, 8711, 519, 2956, 540, 10409, 5647, 538, 4207, 5824, 343, 3332, 267, 15663, 602, 834, 314, 339, 316, 515, 572, 5830, 1491, 4220, 282, 789, 7903, 1996, 6302, 1765, 1782, 340, 2065, 267, 13598, 267, 13664, 1701, 6684, 267, 5824, 1977, 6880, 335, 6064, 4589, 4603, 609, 1893, 543, 1106, 267, 6220, 2609, 540, 5053, 267, 14082, 267, 6805, 4654, 267, 543, 3059, 31546, 15066, 338, 547, 1711, 2189, 5339, 29528, 269, 1452, 6901, 2992, 1312, 519, 3148, 781, 1617, 13308, 6561, 543, 519, 3310, 540, 14051, 543, 7857, 1436, 593, 2199, 4529, 780, 11101, 267, 5824, 1977, 6880, 335, 6064, 2591, 8789, 11269, 540, 519, 3148, 607, 15672, 610, 18807, 538, 6935, 547, 519, 6820, 3345, 269, 13298, 982, 3274, 10063, 1424, 11475, 540, 5824, 3013, 607, 513, 3135, 540, 16678, 824, 1145, 610, 18642, 2215, 527, 13659, 267, 891, 6386, 2709, 4244, 22649, 540, 519, 2104, 12082, 538, 2199, 12583, 267, 5389, 267, 543, 9620, 269, 1358, 19424, 1099, 10999, 4359, 7239, 602, 2721, 2390, 6805, 1702, 1949, 267, 25812, 1673, 5362, 1602, 545, 7326, 267, 543, 29065, 10124, 267, 7551, 22510, 1359, 16402, 1417, 878, 26381, 3098, 543, 23835, 3098, 780, 288, 8037, 1383, 540, 713, 7678, 568, 519, 11204, 8642, 3209, 834, 300, 13579, 807, 632, 796, 13777, 1755, 1064, 1043, 257, 630, 300, 25514, 540, 513, 25792, 8892, 264, 676, 808, 5282, 25548, 699, 974, 269, 5590, 538, 6792, 4975, 538, 476, 13078, 278, 267, 519, 1650, 5205, 513, 1762, 11360, 518, 3957, 25795, 11253, 945, 3096, 1200, 1983, 547, 4339, 1996, 9746, 14226, 543, 2825, 9552, 269, 3414, 922, 12667, 12383, 543, 3728, 19550, 2239, 267, 519, 13371, 3091, 513, 8903, 17855, 540, 513, 14388, 543, 4199, 995, 2146, 10188, 519, 1950, 14099, 540, 3735, 16851, 543, 2916, 1689, 269, 2311, 519, 1482, 942, 267, 621, 20502, 519, 2749, 781, 3638, 3308, 2528, 267, 5373, 6667, 689, 8265, 1148, 267, 9597, 1023, 267, 543, 1178, 29201, 547, 6655, 513, 2631, 540, 1747, 543, 10362, 780, 5194, 7986, 6249, 538, 5824, 1977, 6880, 335, 6064, 568, 519, 8082, 1063, 1367, 5191, 543, 7104, 5539, 269, 3509, 6386, 20920, 609, 519, 4539, 540, 19727, 11712, 6639, 1646, 585, 2486, 607, 513, 2898, 267, 3695, 519, 1761, 585, 2029, 547, 2901, 3986, 610, 24183, 11180, 2418, 543, 2853, 269, 1280, 3236, 267, 538, 519, 772, 2607, 340, 18885, 2110, 1650, 834, 14976, 642, 3241, 334, 632, 3288, 544, 8113, 320, 257, 630, 763, 22947, 540, 519, 26850, 1070, 2278, 12253, 7195, 10972, 4337, 1149, 513, 2282, 1922, 1956, 9183, 538, 799, 4961, 666, 14202, 741, 9637, 525, 547, 513, 3838, 6538, 267, 3850, 873, 547, 2661, 11014, 607, 851, 540, 513, 5318, 3060, 539, 11769, 269, 1717, 267, 713, 9583, 2588, 26508, 5075, 4166, 8761, 922, 4158, 2427, 267, 607, 2043, 882, 22055, 880, 1852, 936, 741, 1378, 2729, 543, 10505, 547, 519, 627, 15501, 540, 519, 7104, 9637, 269, 634, 1650, 3976, 12651, 14849, 2055, 827, 519, 7182, 540, 2123, 13190, 543, 519, 991, 585, 3743, 10350, 538, 606, 2085, 540, 24819, 7384, 780, 7661, 267, 5824, 1977, 6880, 335, 6064, 19156, 519, 4797, 10083, 540, 7810, 23543, 543, 1232, 565, 11102, 9620, 538, 5935, 4207, 5824, 343, 9163, 269, 1635, 2198, 908, 2029, 1369, 6626, 3140, 24551, 540, 21037, 267, 7006, 1601, 11970, 267, 543, 4187, 267, 891, 6386, 7866, 519, 5571, 1764, 540, 7810, 640, 593, 519, 1459, 4090, 269, 1280, 1383, 267, 538, 519, 18207, 1014, 3209, 5055, 834, 17442, 2205, 2102, 586, 1714, 561, 15115, 5964, 257, 630, 763, 7910, 543, 519, 1924, 548, 1070, 2278, 23718, 10163, 10517, 334, 20186, 513, 29711, 1014, 2104, 12199, 676, 513, 3532, 3642, 1062, 1634, 607, 4432, 21081, 22087, 2858, 549, 630, 1492, 8262, 5153, 15289, 1040, 7844, 539, 1310, 519, 4137, 540, 519, 9518, 626, 11456, 267, 4432, 21081, 22087, 2858, 549, 11394, 547, 32135, 782, 15244, 540, 6805, 2528, 543, 20818, 513, 7833, 267, 5375, 1242, 5075, 540, 29678, 5196, 519, 2551, 269, 3414, 922, 30237, 673, 24575, 540, 519, 3642, 781, 13398, 5142, 543, 1165, 569, 267, 519, 3209, 31886, 519, 11972, 2845, 923, 540, 17091, 543, 13187, 585, 519, 13766, 540, 1232, 565, 11102, 9299, 343, 529, 538, 29270, 519, 2591, 540, 519, 8938, 23867, 2540, 780, 1103, 3932, 267, 5824, 1977, 6880, 335, 6064, 4564, 513, 4105, 543, 7524, 2361, 540, 1353, 267, 5356, 3407, 4030, 883, 519, 1950, 16799, 1063, 2029, 267, 2528, 267, 543, 3961, 538, 4207, 5824, 3013, 269, 1635, 2502, 609, 1883, 4798, 971, 607, 1893, 267, 6041, 267, 9111, 267, 543, 28160, 1436, 267, 891, 6386, 8774, 1769, 593, 519, 7399, 543, 25354, 540, 938, 5051, 7857, 1242, 1158, 269, 5015, 267, 789, 7618, 721, 540, 519, 2956, 540, 14237, 2565, 7924, 543, 3860, 9345, 538, 1931, 547, 6330, 519, 7334, 7297, 540, 519, 2104, 269, 6787, 596, 2811, 3168, 547, 4228, 707, 20030, 267, 4161, 8789, 26336, 267, 610, 3274, 5660, 519, 5898, 540, 23019, 5708, 267, 972, 781, 1945, 585, 3025, 538, 519, 7706, 540, 5824, 1977, 6880, 335, 6064, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2710, 596, 1616, 547, 524, 3291, 548, 909, 609, 513, 1007, 2648, 1719, 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 ]
[ 616, 7508, 267, 707, 10265, 14752, 12823, 602, 543, 5956, 547, 1491, 519, 6886, 689, 519, 5642, 621, 1631, 6544, 1161, 607, 24631, 547, 946, 873, 538, 824, 2694, 540, 519, 1560, 269, 4495, 4522, 616, 13939, 267, 519, 1152, 1259, 547, 2061, 713, 5642, 759, 26975, 568, 547, 1747, 5959, 18032, 269, 1955, 17852, 6494, 519, 1482, 1826, 540, 5365, 547, 707, 5642, 602, 4522, 798, 267, 4929, 707, 1560, 547, 11677, 602, 5642, 607, 2877, 1489, 585, 519, 5959, 18032, 269, 0, 1432, 2657, 10819, 2052, 18748, 6468, 769, 7216, 9093, 18108, 888, 20181, 21110, 2157, 666, 1291, 547, 2242, 538, 2489, 1072, 543, 666, 2333, 519, 1981, 540, 1978, 2564, 2175, 267, 971, 607, 21404, 267, 585, 1383, 4586, 8448, 1072, 4220, 2404, 609, 1970, 21110, 1331, 912, 268, 31292, 2042, 630, 27463, 1162, 519, 1981, 540, 3384, 29769, 807, 543, 8482, 3738, 3248, 268, 27777, 13449, 807, 630, 516, 9134, 540, 5642, 4320, 11850, 268, 772, 4088, 1388, 2042, 630, 325, 7528, 550, 17256, 5563, 2073, 21420, 3819, 1145, 543, 11213, 4638, 26697, 3738, 3248, 268, 11671, 557, 1326, 894, 2589, 630, 1372, 920, 1078, 5042, 1599, 267, 2530, 540, 4887, 4222, 2073, 7411, 23622, 267, 3092, 4700, 3248, 268, 11270, 7267, 2068, 2433, 1974, 2632, 4345, 630, 5694, 2530, 3738, 543, 10733, 12424, 687, 476, 3248, 268, 1325, 614, 566, 540, 2960, 512, 5268, 1143, 630, 3819, 2960, 2073, 5920, 540, 32060, 543, 2960, 10172, 3738, 3248, 268, 16723, 6286, 630, 4160, 543, 4965, 30155, 7093, 332, 1155, 9093, 18108, 281, 1548, 568, 621, 286, 15486, 543, 3689, 12580, 454, 1692, 1772, 634, 23369, 2986, 7216, 9093, 18108, 17214, 888, 7093, 332, 1155, 22797, 568, 8995, 998, 513, 3099, 540, 4255, 267, 1519, 912, 268, 3778, 543, 2168, 6514, 476, 3248, 268, 15766, 725, 547, 4341, 856, 824, 3123, 540, 21443, 27695, 630, 11274, 775, 540, 18492, 2095, 16532, 799, 949, 1331, 6379, 2073, 3665, 2597, 2530, 2073, 7050, 3635, 2073, 824, 17441, 4713, 267, 543, 930, 10285, 1062, 3676, 3248, 268, 18873, 547, 2697, 824, 17706, 12371, 2175, 2073, 971, 607, 16991, 2073, 4719, 267, 610, 11178, 2068, 10778, 268, 631, 8016, 630, 8950, 1242, 24942, 25115, 5852, 476, 2567, 519, 1981, 540, 4713, 971, 607, 21404, 543, 11560, 13449, 807, 568, 2047, 1644, 547, 519, 1296, 540, 21110, 10638, 3248, 268, 26537, 23865, 7634, 676, 737, 776, 9189, 2073, 547, 5031, 4719, 19260, 3248, 268, 25095, 1328, 9584, 593, 1808, 4791, 23053, 630, 9987, 281, 18262, 540, 1884, 603, 8557, 2073, 4550, 990, 4115, 267, 4550, 611, 1066, 531, 12489, 267, 3092, 28593, 268, 10552, 4255, 547, 6218, 9449, 2157, 912, 268, 23205, 997, 548, 18398, 9449, 630, 674, 17239, 3738, 2433, 4400, 2157, 540, 674, 17239, 616, 22566, 540, 2175, 538, 799, 519, 3339, 2942, 5955, 23608, 689, 519, 16891, 6758, 568, 15534, 282, 713, 5012, 547, 606, 29252, 5305, 540, 674, 17239, 689, 519, 30783, 14189, 4586, 268, 476, 1704, 12498, 1609, 2784, 2723, 2433, 6480, 2784, 2723, 568, 519, 1292, 21110, 9449, 3812, 676, 519, 32235, 540, 519, 30124, 1282, 519, 4783, 269, 8899, 2157, 540, 519, 9449, 5815, 15176, 25073, 1599, 563, 268, 25824, 2209, 540, 25073, 15395, 2433, 7409, 514, 645, 543, 4550, 910, 300, 6686, 28705, 1014, 9449, 630, 4456, 295, 264, 616, 4389, 269, 5637, 1683, 606, 16315, 540, 519, 1297, 540, 32235, 1459, 538, 519, 30124, 543, 950, 789, 1397, 1970, 25073, 14425, 789, 6166, 519, 4527, 540, 22797, 563, 268, 667, 4047, 288, 630, 1372, 5139, 549, 788, 328, 663, 549, 3122, 821, 264, 2073, 3812, 676, 519, 29427, 14189, 2073, 5956, 547, 7771, 1310, 2085, 476, 1789, 543, 23229, 3648, 609, 22797, 563, 268, 19994, 17771, 610, 1098, 341, 698, 1400, 16953, 2433, 2488, 513, 2143, 3239, 540, 519, 30124, 543, 19786, 2073, 543, 2636, 596, 547, 2708, 2436, 519, 25073, 15395, 568, 3648, 19847, 630, 604, 7864, 982, 2185, 32235, 616, 1459, 2949, 267, 2038, 22797, 568, 2407, 1532, 31500, 1040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 1040, 634, 4104, 568, 535, 8215, 676, 17887, 543, 14616, 4724, 519, 1439, 540, 519, 3819, 4005, 269, 31896, 2356, 3217, 1747, 538, 5412, 609, 519, 1101, 6632, 4005, 22856, 269, 769, 519, 1353, 3148, 267, 519, 9030, 7031, 616, 10575, 663, 7573, 267, 22101, 6072, 267, 22959, 267, 543, 10365, 269, 1306, 7573, 568, 6213, 547, 10980, 267, 543, 22101, 6072, 568, 703, 26985, 540, 12675, 1216, 8421, 3101, 267, 6705, 1419, 2030, 1312, 267, 543, 17685, 549, 6137, 568, 519, 4341, 269, 4980, 17300, 2127, 616, 4749, 649, 17660, 2394, 454, 1492, 4989, 11219, 2317, 7573, 7556, 282, 22101, 6072, 949, 581, 19122, 909, 547, 476, 273, 29757, 1310, 9544, 269, 4980, 17300, 13602, 593, 10575, 663, 4609, 616, 12303, 2760, 1031, 585, 454, 18314, 7031, 538, 513, 4737, 267, 865, 1007, 13602, 616, 2838, 1142, 1032, 269, 10374, 5186, 6137, 5712, 1118, 713, 1106, 540, 2244, 946, 5393, 3573, 269, 1744, 14823, 14713, 540, 713, 4990, 666, 1152, 2611, 14323, 538, 2127, 540, 1970, 2551, 24186, 269, 3683, 1804, 13980, 540, 3057, 534, 327, 261, 334, 267, 713, 568, 1100, 3476, 519, 2013, 563, 5804, 476, 4198, 271, 547, 476, 3192, 276, 267, 2244, 1858, 538, 3057, 534, 29697, 8246, 585, 10151, 5186, 6137, 2799, 1614, 19507, 267, 1247, 519, 5223, 540, 2887, 15735, 547, 5186, 5529, 2244, 729, 2759, 538, 3368, 630, 8368, 476, 272, 1040, 634, 7525, 6286, 540, 27571, 2887, 3298, 585, 7693, 11729, 734, 663, 1279, 3856, 6286, 585, 3135, 2298, 268, 732, 6654, 269, 16842, 2551, 24186, 616, 519, 9030, 2014, 540, 27571, 2887, 3298, 2429, 3057, 534, 327, 1470, 269, 1809, 24215, 2110, 2887, 3298, 538, 519, 1353, 3148, 616, 513, 12343, 540, 7839, 7503, 547, 27892, 563, 8368, 476, 272, 269, 21964, 540, 13026, 3338, 538, 3057, 534, 327, 1470, 1282, 476, 4198, 271, 543, 476, 3192, 276, 563, 301, 13246, 2099, 688, 630, 704, 1417, 540, 2698, 9286, 538, 454, 8001, 12330, 1040, 17796, 281, 25153, 12283, 476, 4198, 277, 267, 476, 3192, 280, 563, 27455, 2422, 476, 4198, 271, 476, 3192, 276, 454, 305, 1052, 476, 274, 267, 25870, 6078, 267, 6110, 630, 25148, 269, 273, 8472, 476, 273, 267, 276, 3445, 267, 7785, 630, 2641, 269, 278, 260, 994, 18719, 1386, 12815, 675, 476, 8099, 267, 8517, 476, 271, 269, 276, 8472, 476, 272, 267, 25908, 267, 1220, 630, 1015, 269, 273, 260, 994, 307, 3637, 476, 27183, 272, 267, 4335, 630, 274, 269, 277, 8472, 476, 272, 267, 26522, 272, 267, 1911, 630, 476, 279, 269, 276, 260, 994, 303, 9007, 550, 476, 1691, 267, 1220, 630, 271, 269, 273, 8472, 476, 9340, 267, 12010, 630, 476, 271, 269, 275, 260, 994, 293, 9994, 476, 273, 267, 25148, 278, 267, 8517, 630, 2764, 269, 271, 8472, 476, 275, 267, 4962, 279, 267, 1911, 630, 30130, 269, 271, 260, 994, 20332, 476, 273, 267, 3607, 272, 267, 10384, 630, 2767, 269, 276, 8472, 476, 274, 267, 26522, 272, 267, 4968, 630, 1839, 269, 273, 260, 994, 5522, 5896, 476, 6078, 267, 1822, 630, 476, 271, 269, 271, 8472, 476, 8099, 271, 630, 476, 271, 269, 271, 260, 994, 13707, 4147, 1881, 476, 279, 267, 6795, 278, 267, 25148, 271, 630, 1911, 269, 271, 8472, 476, 1556, 267, 280, 4391, 267, 7785, 630, 1911, 269, 271, 260, 994, 8253, 4147, 1881, 476, 26605, 272, 267, 4335, 476, 5325, 272, 267, 4335, 454, 13707, 20431, 1221, 476, 280, 267, 276, 4343, 267, 12010, 476, 1321, 267, 25148, 280, 267, 1911, 454, 24836, 4506, 269, 769, 4334, 547, 519, 1964, 540, 3057, 534, 327, 261, 334, 267, 21737, 538, 519, 1353, 3148, 568, 5645, 856, 15866, 593, 4824, 2250, 999, 269, 901, 814, 1044, 513, 2487, 1646, 282, 538, 476, 4198, 271, 267, 4824, 2250, 999, 16922, 1152, 476, 271, 269, 276, 260, 540, 3057, 534, 327, 1470, 781, 2698, 13026, 1858, 630, 8368, 476, 272, 1040, 634, 5250, 540, 4824, 2250, 999, 814, 13087, 21737, 547, 1958, 25209, 883, 2127, 2899, 1031, 14311, 585, 13346, 14713, 563, 3519, 11437, 547, 27892, 568, 3622, 5645, 856, 607, 851, 540, 13346, 454, 322, 738, 10474, 269, 2201, 10575, 663, 24914, 540, 7031, 971, 607, 7573, 543, 22959, 630, 8117, 10355, 22101, 6072, 267, 1813, 547, 922, 5266, 1279, 5186, 6137, 1974, 1070, 5452, 540, 519, 3979, 6371, 267, 1728, 1551, 1156, 807, 8297, 325, 262, 320, 630, 4385, 12725, 607, 561, 1690, 1737, 334, 1070, 616, 5189, 1175, 1991, 547, 7556, 630, 18550, 5336, 599, 1040, 2422, 540, 18168, 568, 4686, 267, 543, 1850, 2541, 3766, 14993, 12205, 616, 15151, 7164, 269, 12815, 999, 616, 2356, 14616, 1282, 519, 3819, 4005, 267, 543, 519, 6633, 1419, 4991, 856, 540, 1852, 282, 23967, 616, 513, 17736, 545, 6681, 4183, 540, 519, 5251, 2429, 3057, 534, 327, 269, 334, 563, 289, 629, 817, 340, 269, 634, 1353, 3148, 568, 6353, 676, 24215, 1164, 3795, 540, 3777, 817, 340, 269, 1975, 2632, 10389, 12136, 540, 519, 13869, 5526, 547, 581, 3908, 1152, 593, 14869, 14629, 339, 3591, 630, 3602, 4829, 29371, 949, 3970, 17091, 264, 543, 1216, 8421, 3022, 11934, 630, 3602, 3597, 19344, 949, 581, 7409, 1243, 1040, 22527, 3602, 519, 13869, 4104, 12303, 29198, 519, 5251, 267, 4849, 1141, 621, 568, 6094, 2740, 610, 1579, 2117, 583, 676, 13346, 5252, 2209, 543, 678, 4545, 1667, 269, 4014, 1579, 2117, 583, 1154, 540, 3777, 817, 340, 568, 10363, 538, 3057, 534, 327, 1470, 267, 519, 2259, 5526, 547, 581, 5051, 1455, 267, 2523, 538, 2127, 1141, 27892, 7503, 568, 7839, 563, 299, 6210, 7638, 1372, 269, 634, 8733, 1382, 729, 10704, 593, 606, 476, 8517, 3620, 320, 3484, 538, 519, 10315, 540, 700, 6210, 7638, 1372, 267, 1309, 269, 476, 1839, 5998, 32065, 540, 645, 659, 629, 531, 630, 8993, 269, 476, 280, 1040, 634, 3484, 568, 6366, 543, 26819, 539, 676, 1896, 26740, 12535, 269, 1924, 2812, 616, 3622, 15417, 543, 1134, 1673, 11712, 269, 634, 12880, 3037, 1826, 568, 661, 583, 13116, 4414, 25286, 3641, 23093, 345, 4301, 269, 27051, 476, 4037, 260, 540, 519, 3484, 814, 1044, 10736, 547, 27892, 267, 543, 519, 1964, 568, 4988, 676, 1585, 6502, 540, 4104, 2887, 578, 563, 296, 5697, 1614, 476, 272, 3620, 320, 4609, 585, 8733, 2090, 267, 11347, 540, 3768, 626, 32328, 3119, 4104, 267, 2025, 6281, 4104, 267, 543, 12422, 14616, 27892, 269, 634, 4104, 4609, 941, 4092, 538, 606, 476, 1556, 3620, 320, 15395, 9738, 585, 10122, 543, 585, 7556, 540, 15468, 4054, 607, 513, 2707, 540, 29421, 269, 3962, 454, 13231, 344, 3135, 6027, 476, 3199, 1535, 476, 10219, 544, 269, 1280, 10066, 267, 11308, 30367, 941, 1031, 547, 5581, 8938, 476, 736, 1535, 476, 1839, 544, 7161, 282, 593, 519, 4104, 539, 4609, 267, 519, 7161, 941, 1642, 574, 1243, 676, 476, 273, 2987, 2647, 10092, 269, 7991, 4162, 540, 1142, 3135, 941, 5833, 676, 7893, 11606, 267, 4908, 829, 3625, 267, 543, 8006, 693, 6089, 4463, 630, 27219, 327, 264, 540, 782, 4054, 609, 24563, 327, 476, 1015, 4699, 269, 32148, 2249, 941, 6394, 543, 4857, 538, 519, 10786, 10740, 540, 519, 631, 2224, 340, 3474, 320, 1619, 2506, 559, 1470, 3619, 601, 10972, 538, 5617, 349, 332, 269, 7991, 4162, 540, 519, 454, 10809, 539, 4609, 616, 24298, 538, 2561, 754, 1182, 589, 543, 645, 563, 763, 3119, 4104, 3135, 568, 4440, 11347, 540, 519, 3312, 10664, 602, 2899, 4988, 519, 3148, 269, 30521, 22932, 6580, 540, 23315, 15998, 1336, 693, 1309, 269, 476, 1428, 4699, 3178, 5815, 602, 519, 3135, 729, 14616, 476, 20981, 476, 7742, 29757, 1354, 1459, 630, 12072, 18584, 476, 275, 4864, 476, 2735, 274, 689, 9400, 681, 269, 623, 31651, 267, 30521, 22932, 12524, 267, 19803, 5441, 267, 4469, 5241, 267, 1715, 3840, 267, 7330, 1040, 594, 3494, 602, 519, 3135, 814, 11124, 1100, 2101, 19717, 2094, 269, 10871, 454, 514, 845, 1218, 4080, 602, 519, 3135, 729, 1869, 4988, 676, 1785, 12147, 1950, 267, 2249, 11656, 4104, 950, 789, 1101, 8452, 538, 519, 3148, 1282, 519, 476, 4350, 271, 338, 269, 4595, 713, 942, 267, 519, 3135, 814, 1044, 16271, 547, 8766, 19717, 269, 2311, 519, 942, 540, 1250, 1353, 267, 2846, 757, 25189, 476, 1789, 268, 3374, 544, 267, 543, 519, 24588, 729, 811, 610, 1447, 6024, 693, 476, 1428, 268, 1839, 544, 269, 4107, 540, 519, 28928, 2249, 941, 28301, 1282, 782, 610, 851, 540, 519, 3819, 4005, 269, 966, 1149, 941, 5266, 10731, 267, 6466, 3134, 760, 1506, 5052, 941, 4686, 269, 15661, 17381, 267, 693, 476, 8287, 2249, 630, 27219, 327, 3436, 1015, 4699, 264, 829, 688, 267, 729, 2539, 982, 602, 540, 10575, 663, 7733, 538, 8835, 807, 630, 4517, 3205, 543, 645, 21672, 476, 2735, 271, 1040, 2060, 5266, 1164, 11606, 630, 736, 269, 273, 15992, 4908, 630, 280, 269, 273, 15992, 543, 17282, 630, 2767, 269, 275, 15992, 3777, 817, 340, 729, 519, 1034, 1271, 2249, 593, 519, 3135, 563, 763, 6281, 4104, 729, 8385, 2759, 543, 14616, 585, 13346, 14713, 538, 476, 3707, 279, 282, 519, 3135, 1185, 11124, 1100, 2101, 19717, 2094, 563, 28770, 326, 757, 25189, 476, 736, 268, 1839, 544, 267, 543, 519, 24588, 734, 1260, 1440, 2213, 7361, 540, 513, 7833, 1796, 540, 3777, 817, 340, 734, 13195, 5266, 6024, 693, 476, 1015, 268, 1428, 544, 269, 15661, 454, 5341, 1145, 729, 476, 4029, 2249, 630, 27219, 327, 3436, 1015, 4699, 264, 829, 688, 269, 634, 6871, 540, 2698, 2249, 602, 7018, 538, 1312, 519, 3119, 543, 6281, 4104, 4609, 630, 1723, 324, 2310, 540, 2146, 281, 1733, 8636, 6033, 476, 3192, 276, 264, 729, 476, 4029, 269, 280, 10065, 769, 11606, 630, 5780, 269, 278, 15992, 4908, 630, 2641, 269, 278, 15992, 543, 17282, 630, 10019, 269, 272, 15992, 3777, 817, 340, 729, 2484, 543, 2476, 519, 1034, 1271, 2249, 593, 519, 3135, 563, 763, 27892, 729, 3964, 998, 4367, 538, 476, 3192, 275, 540, 519, 16678, 6371, 267, 14523, 1551, 1156, 807, 8297, 17304, 267, 593, 513, 3135, 602, 1185, 2907, 22734, 1896, 9979, 540, 13346, 14713, 269, 634, 10731, 896, 32143, 15712, 630, 10175, 700, 656, 3570, 4342, 4673, 267, 853, 778, 12682, 17369, 2867, 320, 1309, 13568, 523, 8412, 267, 590, 5866, 24094, 1421, 454, 24426, 704, 639, 24094, 1421, 543, 5104, 32596, 540, 3777, 817, 340, 264, 941, 12422, 2759, 543, 14616, 269, 634, 476, 1015, 268, 1428, 544, 1164, 24588, 729, 16922, 14311, 540, 3777, 817, 340, 267, 799, 7018, 693, 513, 5860, 540, 1309, 269, 476, 1911, 11710, 829, 688, 563, 25823, 22972, 4609, 269, 769, 1840, 547, 519, 9030, 2361, 3135, 693, 700, 6210, 454, 19723, 1372, 267, 9682, 4609, 941, 3964, 693, 5617, 349, 332, 267, 623, 785, 541, 277, 19257, 574, 267, 543, 595, 1314, 5362, 630, 8993, 269, 476, 278, 1040, 634, 5617, 277, 332, 3135, 729, 1031, 585, 6901, 5473, 10661, 630, 6637, 476, 275, 5148, 519, 623, 785, 541, 277, 19257, 574, 543, 595, 1314, 5362, 4609, 941, 1031, 585, 4307, 1670, 7422, 630, 6637, 476, 274, 1040, 25561, 1670, 1239, 630, 8993, 269, 476, 1556, 264, 1397, 513, 2647, 2039, 540, 11811, 693, 891, 4609, 269, 6176, 7282, 2244, 3096, 543, 8097, 1374, 693, 1142, 3135, 568, 3177, 538, 519, 3617, 11271, 563, 14011, 311, 16688, 312, 6730, 11682, 312, 307, 8104, 292, 24209, 454, 289, 629, 817, 340, 12851, 547, 519, 9279, 657, 1355, 1895, 267, 835, 540, 476, 1428, 2101, 2516, 1369, 519, 13869, 1920, 630, 27770, 648, 476, 3192, 274, 321, 1040, 23081, 657, 1355, 27374, 616, 13747, 689, 519, 824, 2516, 676, 741, 5613, 267, 799, 2270, 513, 5394, 267, 3622, 1614, 1790, 1819, 1439, 665, 17369, 269, 634, 9030, 4099, 540, 9279, 657, 1355, 4763, 568, 3162, 3013, 267, 1141, 476, 2190, 540, 476, 2764, 25281, 2049, 630, 27770, 648, 476, 3192, 274, 321, 1040, 5565, 1134, 4385, 13222, 540, 519, 1895, 616, 519, 17310, 630, 290, 665, 657, 4251, 32070, 264, 543, 519, 3979, 3282, 13869, 630, 14976, 2801, 529, 1368, 710, 18424, 1916, 763, 30953, 540, 3777, 817, 340, 814, 1044, 513, 2707, 540, 10539, 2094, 519, 13869, 729, 1101, 4330, 1134, 936, 513, 2540, 3516, 269, 901, 10539, 5956, 593, 519, 13598, 1377, 269, 4014, 3777, 817, 340, 568, 3622, 8655, 547, 519, 12593, 2107, 321, 793, 9366, 267, 519, 4567, 540, 713, 543, 519, 2185, 547, 2947, 824, 25281, 538, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13601, 27936, 418, 488, 354, 421, 498, 503, 17276, 487, 478, 420, 364, 497, 419, 376, 358, 13213, 505, 21550, 376, 19764, 493, 8147, 22287, 367, 21251, 420, 25693, 419, 358, 374, 21550, 376, 25520, 307, 5723, 418, 371, 371, 17958, 12486, 595, 8291, 10206, 1609, 561, 262, 2317, 964, 7132, 1271, 324, 679, 1982, 332, 566, 269, 14348, 596, 3858, 602, 8840, 713, 1599, 883, 4130, 3252, 568, 519, 1655, 1259, 547, 8207, 713, 5470, 286, 5124, 8640, 568, 513, 19585, 3948, 5627, 2789, 2175, 543, 519, 7222, 3948, 4433, 264, 607, 513, 21117, 269, 12844, 30394, 267, 29139, 2144, 516, 584, 642, 16772, 5918, 3655, 527, 6446, 512, 525, 2175, 630, 604, 267, 8640, 267, 8640, 267, 3092, 264, 521, 2632, 28093, 686, 638, 2946, 8350, 796, 525, 546, 753, 8350, 1313, 637, 620, 832, 844, 262, 21304, 1821, 571, 1304, 3331, 359, 30036, 14193, 544, 17845, 1889, 562, 633, 879, 546, 262, 1211, 566, 9578, 929, 2946, 322, 1047, 618, 796, 8640, 1696, 796, 3116, 834, 28584, 335, 1180, 550, 257, 20221, 796, 952, 1696, 798, 643, 550, 1810, 322, 3331, 359, 30036, 14193, 544, 17845, 1889, 562, 633, 879, 6446, 561, 14241, 269, 3267, 5124, 8640, 6206, 5320, 5124, 27511, 269, 1656, 952, 519, 2783, 540, 8640, 3948, 568, 849, 7301, 267, 1287, 519, 3009, 3330, 519, 3116, 3948, 568, 4291, 17014, 269, 20226, 16510, 2141, 814, 519, 2626, 267, 610, 693, 519, 2547, 2798, 803, 538, 519, 2953, 4287, 256, 9717, 2630, 568, 519, 16105, 540, 513, 3818, 7400, 29005, 952, 268, 19197, 268, 12828, 3948, 269, 5124, 8640, 568, 513, 19585, 3948, 5627, 2789, 2175, 543, 519, 7222, 3948, 4433, 264, 607, 513, 21117, 269, 8307, 835, 540, 519, 7161, 4991, 13401, 950, 519, 7222, 1630, 18978, 4082, 27786, 547, 3020, 267, 950, 13401, 18615, 569, 689, 1283, 547, 5377, 269, 715, 14244, 694, 328, 544, 3726, 334, 632, 9226, 267, 11792, 513, 11155, 6446, 522, 2144, 549, 20527, 1768, 19804, 8640, 5033, 513, 2357, 881, 320, 23843, 1107, 9324, 529, 23052, 928, 328, 632, 27804, 5633, 476, 1789, 270, 5400, 270, 1704, 20221, 338, 476, 1240, 281, 1428, 590, 984, 516, 733, 14337, 632, 13441, 334, 1107, 9324, 529, 23052, 928, 328, 632, 27804, 5633, 476, 1789, 270, 5400, 270, 1704, 20221, 338, 476, 1240, 281, 1626, 2672, 320, 1541, 320, 23843, 512, 3711, 2946, 332, 1609, 5451, 22522, 324, 267, 568, 810, 14255, 16105, 798, 5124, 1107, 9324, 529, 23052, 928, 328, 632, 27804, 5633, 476, 1789, 270, 5400, 270, 1704, 20221, 338, 476, 1240, 281, 736, 634, 1560, 6238, 609, 606, 25034, 566, 543, 519, 1101, 796, 785, 5034, 1899, 7436, 519, 1439, 269, 634, 13962, 3091, 5798, 267, 3443, 31817, 267, 530, 3530, 956, 267, 543, 27046, 22596, 585, 14254, 269, 901, 8366, 17767, 10509, 4966, 945, 6612, 2299, 2671, 741, 1702, 609, 519, 2146, 543, 979, 519, 3063, 13304, 609, 5363, 7418, 269, 769, 5124, 267, 519, 1560, 540, 519, 952, 3948, 568, 8612, 676, 519, 25034, 566, 269, 1548, 781, 519, 2386, 560, 1259, 547, 2995, 519, 25034, 566, 1377, 538, 3502, 788, 611, 10030, 286, 8943, 322, 611, 5519, 568, 519, 15864, 1259, 547, 1451, 875, 547, 3009, 269, 8729, 269, 898, 781, 7317, 267, 1187, 267, 543, 596, 666, 798, 621, 609, 707, 2828, 269, 28982, 21188, 3116, 281, 11711, 834, 2580, 1899, 476, 272, 3116, 281, 9745, 16522, 1314, 13286, 281, 23380, 16105, 8640, 31283, 22527, 267, 1403, 269, 1717, 267, 7429, 3116, 267, 585, 799, 972, 666, 581, 693, 519, 1034, 835, 3948, 267, 972, 666, 581, 606, 17062, 1297, 540, 8640, 6898, 1739, 606, 952, 269, 769, 602, 2013, 267, 596, 949, 946, 519, 17692, 267, 20700, 9281, 543, 20700, 10345, 538, 5124, 281, 5124, 3085, 1406, 3970, 519, 1377, 540, 29005, 2175, 538, 513, 1982, 269, 7427, 5346, 281, 594, 13761, 676, 3257, 15562, 9281, 307, 6874, 5723, 593, 1312, 3515, 543, 789, 616, 1152, 967, 5034, 835, 1377, 269, 5124, 952, 8640, 3116, 281, 5124, 952, 3948, 568, 1482, 607, 621, 568, 609, 824, 5752, 4654, 269, 4112, 1709, 281, 8614, 30134, 1612, 26955, 743, 13145, 12103, 4756, 1412, 720, 262, 2085, 815, 476, 1428, 5124, 16522, 1314, 13286, 281, 23380, 16105, 585, 968, 19197, 7003, 263, 3073, 264, 13843, 476, 272, 281, 5608, 5124, 16522, 1314, 13286, 281, 23380, 16105, 1439, 284, 5257, 269, 1403, 4432, 604, 22527, 5124, 20861, 3767, 649, 3142, 519, 538, 834, 19197, 257, 3948, 269, 634, 5124, 4432, 604, 15048, 849, 1572, 607, 519, 5124, 22527, 1403, 15048, 568, 1360, 3730, 950, 649, 723, 547, 2638, 1896, 2175, 269, 9861, 3238, 609, 661, 292, 5280, 803, 547, 1332, 13948, 543, 24015, 269, 7046, 538, 1007, 6885, 267, 8564, 782, 7151, 476, 273, 281, 17692, 267, 20700, 9281, 543, 20700, 10345, 538, 5124, 269, 13018, 267, 1577, 779, 2161, 602, 596, 1616, 547, 1331, 1776, 10958, 1895, 1107, 519, 2048, 21801, 1640, 5494, 870, 685, 1895, 1107, 585, 1004, 945, 616, 2630, 519, 2085, 540, 476, 1240, 907, 4746, 1224, 952, 3116, 267, 952, 8640, 2560, 3767, 1577, 779, 1039, 1776, 4494, 269, 1411, 616, 3843, 547, 798, 606, 952, 270, 19197, 538, 7317, 7154, 269, 769, 2013, 1100, 8640, 16083, 1336, 547, 581, 3020, 1287, 693, 2063, 519, 3625, 540, 6898, 538, 519, 3116, 3625, 568, 13401, 269, 898, 781, 7317, 267, 1187, 267, 543, 596, 666, 798, 621, 609, 707, 2828, 269, 901, 3948, 1101, 4255, 519, 2783, 540, 952, 3948, 269, 3689, 267, 5225, 556, 1790, 739, 3009, 1063, 3009, 16776, 267, 1294, 29851, 4596, 14701, 8921, 267, 946, 6521, 268, 551, 337, 331, 8686, 547, 13594, 3009, 607, 621, 786, 8190, 25034, 566, 630, 2865, 1271, 264, 16522, 1314, 1717, 267, 607, 519, 1297, 540, 2175, 2333, 267, 715, 6479, 1403, 3009, 6988, 786, 849, 2333, 269, 3767, 1577, 779, 1039, 1776, 4494, 269, 28150, 19957, 1569, 547, 593, 24683, 663, 2866, 6030, 609, 606, 20226, 16510, 20478, 269, 1403, 649, 3802, 998, 713, 1599, 689, 519, 3355, 585, 8520, 593, 1899, 476, 274, 267, 519, 5470, 568, 6659, 593, 519, 3791, 1305, 540, 952, 270, 19197, 6898, 269, 7316, 616, 1250, 10439, 22456, 15692, 900, 22399, 269, 634, 3705, 614, 786, 1265, 1022, 23380, 16105, 538, 5124, 1282, 713, 1101, 3942, 540, 1982, 11056, 267, 849, 1634, 607, 519, 16163, 532, 3942, 269, 634, 3705, 614, 786, 3801, 547, 1397, 596, 1141, 512, 2507, 7151, 269, 1703, 616, 2789, 2042, 1934, 269, 32027, 782, 2560, 1924, 3274, 18419, 519, 2433, 543, 2322, 519, 6476, 593, 1899, 909, 269, 769, 602, 2013, 267, 596, 949, 946, 519, 17692, 267, 20700, 9281, 543, 20700, 10345, 538, 5124, 281, 8640, 630, 6135, 4768, 656, 711, 538, 1250, 6135, 4768, 1218, 2567, 1948, 3843, 1945, 3063, 1862, 13962, 815, 834, 1262, 1103, 20777, 13962, 5697, 1262, 2580, 4179, 2517, 4178, 20216, 704, 1206, 7721, 4219, 2593, 270, 638, 5465, 270, 27868, 271, 4343, 2568, 18025, 3155, 268, 19197, 1606, 9321, 1314, 268, 19587, 11258, 269, 13018, 267, 1577, 779, 2161, 602, 596, 1616, 547, 1331, 1776, 10958, 1895, 1107, 519, 2048, 21801, 1640, 5494, 870, 685, 1895, 1107, 585, 1004, 945, 616, 2630, 519, 2085, 540, 476, 1240, 907, 4746, 267, 1175, 899, 3105, 1383, 267, 519, 3935, 693, 519, 1439, 540, 952, 267, 8640, 267, 3116, 4971, 568, 851, 540, 519, 5124, 16105, 267, 799, 1058, 581, 9138, 269, 11354, 645, 2393, 267, 11979, 2200, 543, 544, 830, 1826, 12122, 267, 5124, 268, 1215, 547, 1118, 606, 952, 3948, 1063, 1535, 543, 586, 286, 2991, 596, 3442, 835, 540, 519, 3688, 267, 519, 7746, 6770, 621, 547, 596, 269, 901, 1184, 8952, 18110, 2394, 606, 8640, 16083, 568, 1336, 547, 581, 3020, 269, 8564, 782, 1547, 16522, 1314, 5124, 952, 15048, 10046, 24577, 10046, 24577, 540, 952, 3948, 538, 5124, 5752, 7151, 281, 5124, 952, 15048, 630, 4462, 6674, 713, 3070, 609, 513, 476, 278, 6377, 5131, 23632, 1040, 16522, 1314, 4112, 7134, 3689, 267, 13071, 1413, 693, 623, 2814, 976, 952, 3948, 3009, 3625, 269, 9046, 281, 28982, 16921, 267, 2755, 6061, 2596, 2783, 2042, 538, 9226, 594, 993, 3843, 547, 2936, 519, 2630, 7954, 855, 1810, 1405, 917, 9226, 568, 18530, 5470, 267, 519, 23380, 16105, 585, 1100, 2601, 267, 2630, 568, 519, 3009, 269, 4045, 609, 26133, 20226, 547, 2744, 5813, 543, 1489, 593, 1808, 2029, 2591, 1519, 281, 1284, 948, 8668, 28968, 8011, 693, 960, 269, 16522, 1314, 13286, 281, 23380, 16105, 952, 630, 6135, 4768, 656, 2652, 7183, 610, 13962, 2652, 834, 257, 2567, 13962, 6889, 30995, 5591, 13962, 5697, 30995, 257, 8640, 630, 6135, 4768, 656, 711, 538, 1250, 6135, 4768, 1218, 2567, 1948, 3843, 1945, 3063, 1862, 13962, 815, 834, 1262, 1103, 20777, 13962, 5697, 1262, 257, 700, 262, 573, 19902, 1609, 632, 25680, 6446, 23313, 512, 16279, 4756, 513, 512, 16279, 1130, 16725, 620, 832, 3655, 790, 524, 11253, 5609, 517, 524, 11253, 269, 901, 568, 3622, 519, 2013, 950, 972, 568, 3375, 1818, 3238, 910, 596, 786, 1616, 547, 14892, 513, 1978, 1899, 540, 9479, 952, 513, 2783, 568, 13854, 267, 543, 513, 1114, 1305, 540, 3009, 1651, 848, 621, 568, 711, 269, 5124, 670, 26041, 5124, 2271, 549, 5124, 5192, 29035, 5124, 16522, 1314, 5124, 22227, 5124, 25159, 269, 1403, 596, 2811, 1394, 602, 2484, 267, 519, 952, 3296, 568, 2347, 543, 596, 666, 1405, 1376, 609, 8640, 267, 855, 1152, 609, 513, 1007, 952, 269, 1411, 723, 547, 2322, 1776, 1630, 18978, 4082, 1063, 834, 19197, 257, 543, 834, 281, 257, 8640, 1797, 281, 3116, 952, 3267, 1547, 898, 1797, 267, 952, 713, 952, 3948, 3884, 1406, 2808, 6936, 267, 2119, 713, 3079, 269, 13259, 262, 513, 6251, 1413, 547, 707, 3009, 8761, 281, 713, 3758, 15481, 314, 321, 316, 2652, 23099, 6476, 1058, 5612, 1246, 519, 8640, 269, 5124, 568, 339, 581, 16988, 660, 24166, 694, 710, 552, 8882, 5995, 16522, 1314, 269, 5124, 3705, 1206, 1875, 25179, 2418, 607, 6936, 269, 901, 568, 513, 3787, 16602, 269, 1403, 519, 3705, 614, 666, 1406, 1612, 572, 707, 5124, 3009, 6707, 267, 1287, 713, 1797, 602, 596, 1031, 23380, 16105, 12341, 538, 707, 3009, 269, 1411, 1810, 1405, 723, 1022, 897, 976, 630, 281, 264, 693, 519, 1439, 540, 707, 952, 267, 8640, 543, 3116, 6898, 269, 2791, 1810, 1405, 723, 2953, 25034, 566, 269, 1269, 9226, 7508, 18258, 11711, 834, 332, 1170, 532, 18258, 2580, 1899, 476, 276, 1820, 6600, 5622, 28829, 9745, 16522, 1314, 13286, 281, 23380, 16105, 9919, 26982, 694, 533, 21692, 9079, 328, 267, 524, 685, 652, 6446, 5124, 533, 1619, 6446, 3288, 1592, 324, 733, 1304, 7708, 529, 20527, 331, 2946, 906, 281, 1341, 476, 272, 1341, 2073, 1341, 476, 273, 1341, 1696, 1341, 274, 1820, 630, 325, 5622, 630, 4297, 1341, 1547, 1548, 9375, 616, 596, 1210, 286, 634, 3498, 12134, 596, 547, 2824, 707, 5172, 2681, 269, 1403, 3267, 12828, 952, 2783, 281, 6898, 8640, 2783, 281, 6898, 3116, 281, 6898, 1403, 267, 8640, 543, 3116, 616, 17161, 538, 5124, 269, 634, 2175, 543, 6898, 538, 519, 1964, 540, 519, 952, 268, 19197, 268, 12828, 2497, 568, 1236, 5792, 543, 1852, 2501, 856, 540, 519, 952, 268, 19197, 15581, 618, 547, 14892, 6898, 1739, 621, 269, 1215, 547, 2422, 519, 952, 2507, 19197, 15048, 538, 513, 5124, 13335, 269, 6902, 634, 16105, 3884, 1405, 952, 9505, 5091, 1144, 4433, 2567, 521, 2652, 834, 13433, 257, 910, 621, 781, 952, 521, 2652, 834, 13433, 2668, 15776, 535, 517, 2388, 25165, 1547, 7183, 543, 476, 271, 616, 14648, 607, 8771, 269, 16522, 1314, 540, 952, 907, 19197, 2507, 1948, 9226, 952, 277, 18258, 7392, 513, 476, 273, 268, 12072, 1533, 3009, 602, 6238, 609, 4484, 595, 281, 11404, 11404, 568, 4993, 11289, 1411, 256, 3738, 546, 753, 682, 31423, 720, 5124, 267, 544, 9820, 26955, 329, 14504, 14193, 561, 766, 618, 267, 18559, 2175, 24924, 586, 513, 796, 2625, 331, 11726, 1889, 269, 7102, 3009, 18284, 606, 952, 270, 19197, 270, 12828, 3948, 1058, 581, 967, 5034, 1586, 910, 596, 1058, 723, 835, 25034, 585, 519, 1219, 9505, 6658, 4433, 2567, 3948, 543, 835, 811, 585, 1022, 1257, 896, 952, 270, 19197, 270, 12828, 269, 594, 798, 711, 11291, 9427, 621, 269, 20226, 609, 7108, 4567, 723, 4607, 835, 540, 938, 5207, 7400, 16869, 22952, 267, 799, 5431, 4966, 585, 741, 3407, 7418, 269, 2913, 721 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2171, 12979, 1819, 519, 536, 1618, 693, 1312, 7475, 543, 941, 2111, 547, 1205, 1434, 10518, 532, 267, 609, 930, 25985, 10678, 909, 609, 936, 476, 1015, 3952, 540, 4463, 1055, 519, 5377, 269, 13068, 766, 936, 519, 25985, 786, 581, 827, 476, 1321, 3952, 593, 606, 3328, 1970, 20352, 269, 634, 1216, 9355, 568, 7168, 1434, 538, 602, 1858, 267, 543, 594, 9327, 1406, 581, 14281, 547, 5873, 540, 930, 15137, 518, 15438, 4947, 1055, 570, 290, 269, 594, 917, 972, 3580, 581, 930, 1434, 29598, 540, 5053, 5672, 651, 7758, 543, 4544, 8127, 3034, 763, 1340, 539, 22513, 663, 2088, 15191, 2906, 4092, 1141, 519, 853, 269, 6307, 338, 5211, 13788, 519, 9533, 7909, 616, 827, 2185, 5195, 547, 519, 5045, 269, 901, 1858, 814, 3812, 29658, 20421, 29598, 540, 15438, 2094, 519, 476, 2735, 271, 338, 269, 634, 1804, 3506, 540, 2367, 17495, 523, 4122, 1336, 2059, 519, 595, 3784, 1633, 6816, 17822, 1058, 2721, 930, 10994, 1532, 755, 532, 3014, 8127, 883, 519, 25610, 540, 570, 290, 563, 306, 869, 512, 13764, 610, 1743, 14823, 2661, 22678, 1080, 1058, 581, 11327, 585, 15438, 267, 8273, 5053, 267, 543, 13544, 1212, 1998, 548, 30443, 6362, 1472, 24035, 570, 290, 269, 3427, 20695, 5053, 543, 4544, 8127, 8023, 593, 519, 2627, 666, 581, 6098, 609, 795, 12127, 610, 676, 512, 13764, 3143, 269, 476, 876, 18412, 838, 9398, 269, 14970, 9416, 15273, 2280, 610, 16095, 1295, 852, 338, 535, 1639, 593, 519, 22501, 5377, 11105, 547, 519, 6405, 616, 2693, 547, 4482, 519, 3007, 540, 1166, 10133, 610, 18921, 20695, 556, 1091, 269, 4911, 6840, 4058, 513, 7552, 547, 570, 290, 666, 10131, 693, 519, 10935, 15155, 1186, 693, 519, 853, 269, 6307, 338, 685, 1216, 12506, 610, 693, 15867, 12097, 5211, 3557, 5244, 563, 26765, 754, 3081, 602, 4563, 2041, 731, 588, 14414, 930, 540, 1010, 14951, 2059, 519, 11908, 5032, 269, 2755, 1100, 835, 814, 1336, 1022, 4154, 610, 8988, 267, 519, 11824, 11818, 3710, 1055, 519, 6532, 3957, 585, 519, 25337, 19266, 622, 1058, 2709, 909, 922, 1378, 14951, 540, 513, 3165, 344, 4990, 269, 6271, 476, 6110, 6405, 25543, 1117, 6425, 941, 5116, 538, 519, 9533, 7909, 2282, 19270, 867, 1744, 334, 1023, 267, 1175, 5045, 540, 519, 13675, 547, 590, 19125, 334, 14675, 563, 3725, 1030, 645, 295, 729, 3957, 538, 8956, 540, 11724, 894, 7585, 12390, 1676, 540, 3474, 549, 1777, 267, 30626, 540, 519, 5600, 7849, 8249, 9730, 543, 513, 1279, 6066, 1139, 7163, 540, 6070, 4248, 10068, 3292, 269, 28210, 827, 476, 273, 269, 276, 562, 27658, 5195, 689, 519, 13272, 267, 645, 295, 568, 1175, 513, 1906, 5195, 7178, 540, 24035, 918, 307, 298, 267, 799, 568, 2442, 609, 1312, 2587, 6840, 543, 4129, 269, 8899, 2389, 728, 1216, 17909, 693, 645, 295, 616, 1447, 982, 476, 1626, 3952, 609, 827, 476, 1015, 3952, 540, 24999, 936, 519, 6405, 563, 2108, 7712, 713, 11818, 568, 2673, 547, 606, 29504, 267, 2175, 949, 1689, 13497, 609, 23864, 2095, 543, 4463, 2223, 1767, 1744, 11921, 16888, 540, 519, 14464, 24035, 5358, 269, 968, 763, 11818, 3135, 5045, 540, 519, 590, 19125, 334, 14675, 13675, 568, 513, 7168, 1164, 20589, 1858, 609, 6266, 540, 5070, 3001, 1472, 269, 1284, 6157, 2503, 621, 547, 4482, 3165, 713, 4832, 267, 855, 649, 2461, 8049, 547, 1294, 1018, 4523, 936, 942, 3034, 9515, 10134, 3650, 267, 3109, 4262, 18369, 267, 543, 627, 1746, 616, 1175, 513, 1906, 540, 519, 2249, 602, 1058, 581, 9575, 693, 713, 11818, 269, 634, 3044, 476, 273, 3620, 809, 5377, 6551, 22051, 609, 513, 476, 273, 268, 547, 476, 275, 268, 9926, 269, 4871, 16173, 518, 543, 512, 5792, 609, 2695, 573, 568, 513, 1434, 1259, 547, 16785, 519, 5186, 758, 338, 543, 1835, 2335, 625, 540, 519, 11818, 269, 589, 3044, 808, 3620, 809, 971, 607, 519, 26267, 1849, 1177, 476, 5400, 275, 538, 513, 476, 272, 270, 271, 2450, 568, 9053, 585, 1352, 10134, 3650, 267, 1247, 5858, 29945, 899, 519, 26267, 1849, 1177, 700, 4281, 278, 538, 513, 2450, 476, 273, 786, 960, 585, 824, 5377, 17743, 619, 267, 971, 607, 627, 1746, 269, 3026, 11732, 1569, 2798, 547, 645, 295, 616, 519, 1857, 10935, 19856, 693, 5617, 4582, 4068, 610, 519, 2261, 21590, 538, 26425, 2006, 18671, 742, 267, 782, 538, 5062, 4504, 9655, 6019, 563, 2691, 26255, 19154, 543, 519, 2063, 540, 476, 6110, 6405, 25543, 1117, 6425, 941, 14593, 689, 519, 536, 1618, 543, 883, 519, 9533, 7909, 1055, 853, 269, 595, 1430, 1149, 6816, 267, 519, 1101, 5123, 540, 11824, 268, 872, 325, 4070, 538, 11908, 729, 6192, 269, 715, 3139, 585, 11724, 894, 7585, 28818, 540, 2276, 4011, 334, 267, 606, 28048, 13964, 2006, 543, 17348, 540, 519, 5600, 10794, 267, 12551, 267, 543, 20088, 9730, 267, 24035, 19154, 729, 3710, 827, 1614, 5195, 7532, 540, 5062, 20075, 523, 779, 769, 2280, 538, 606, 1858, 1634, 547, 2199, 695, 3234, 11825, 607, 968, 19136, 670, 836, 3034, 763, 11818, 3135, 2882, 519, 3788, 540, 1079, 20476, 525, 27333, 3141, 330, 1282, 519, 476, 3707, 271, 338, 543, 519, 27069, 6405, 4559, 269, 634, 3788, 540, 513, 3791, 536, 1618, 616, 2219, 547, 9114, 3544, 519, 11818, 3135, 269, 2353, 540, 519, 6405, 4559, 616, 1134, 1369, 476, 1220, 18126, 540, 519, 5835, 26255, 593, 26333, 540, 22583, 267, 7532, 267, 5045, 1606, 11322, 267, 543, 22236, 269, 3493, 628, 936, 519, 2497, 693, 1970, 1216, 786, 581, 827, 476, 1015, 3952, 563, 763, 5062, 20075, 523, 779, 769, 2280, 1858, 568, 4583, 585, 29598, 540, 29607, 543, 1183, 4177, 556, 1091, 269, 634, 5023, 540, 519, 29504, 568, 513, 2442, 5544, 585, 13032, 556, 1091, 538, 519, 2887, 269, 24035, 19154, 1058, 849, 3132, 29598, 540, 2462, 556, 1091, 538, 519, 2887, 267, 607, 1134, 607, 29598, 540, 5672, 651, 7758, 267, 13545, 335, 517, 267, 543, 7654, 17784, 18571, 1282, 519, 15911, 3275, 563, 2521, 10581, 268, 3419, 10068, 936, 543, 1472, 519, 11818, 269, 1403, 596, 946, 513, 17277, 10581, 6551, 267, 519, 3178, 666, 581, 14661, 547, 1459, 519, 536, 7159, 1318, 693, 519, 1283, 540, 519, 2497, 610, 2059, 519, 5011, 540, 519, 6405, 269, 14970, 610, 5841, 22678, 1080, 6551, 3022, 896, 513, 595, 1690, 684, 774, 8974, 678, 3430, 1782, 10581, 6551, 1058, 849, 581, 11327, 269, 5213, 1406, 7340, 547, 2638, 519, 26255, 585, 17784, 18571, 14084, 538, 7227, 585, 606, 2653, 7594, 563, 293, 3306, 2759, 15273, 2280, 593, 513, 476, 280, 270, 271, 5858, 13622, 7923, 547, 606, 476, 1240, 20878, 3259, 540, 476, 2004, 2000, 321, 269, 1449, 6205, 568, 513, 9053, 12363, 10994, 585, 556, 1091, 543, 1507, 16142, 269, 12551, 713, 6551, 593, 519, 5377, 1985, 547, 519, 24760, 6405, 269, 4911, 6840, 530, 5109, 547, 2119, 24035, 19154, 666, 10131, 693, 14117, 18671, 742, 12551, 8805, 543, 21009, 9855, 3057, 2088, 538, 23068, 6019, 610, 519, 5892, 5018, 6753, 538, 5062, 4504, 9655, 6019, 563, 7212, 782, 540, 891, 18625, 616, 513, 2110, 3845, 689, 2244, 267, 519, 2196, 689, 606, 29504, 1058, 581, 1500, 609, 13657, 543, 609, 2543, 585, 519, 20437, 2470, 540, 519, 1930, 5836, 269, 10705, 2053, 267, 1175, 519, 1689, 540, 20352, 689, 14700, 547, 552, 25290, 666, 1711, 513, 14299, 6853, 4262, 602, 786, 1449, 519, 23772, 2180, 1465, 540, 707, 10935, 269, 14400, 19711, 28323, 666, 3132, 10151, 267, 855, 13818, 267, 2175, 269, 7102, 7552, 883, 519, 5836, 267, 2436, 621, 779, 1614, 5195, 610, 476, 1789, 5195, 267, 1058, 581, 1500, 609, 6297, 2219, 585, 18002, 563, 9827, 267, 581, 2062, 8705, 2740, 602, 25985, 540, 6405, 723, 606, 1202, 520, 4192, 14031, 585, 12979, 832, 269, 4107, 2587, 6840, 945, 5377, 3165, 593, 5841, 18625, 786, 946, 513, 21679, 13622, 267, 799, 568, 5386, 585, 12979, 1681, 538, 519, 5070, 610, 16095, 267, 3079, 540, 519, 2757, 8355, 1721, 628, 19671, 269, 634, 929, 29330, 593, 519, 21679, 13622, 616, 2178, 2614, 547, 3180, 513, 10935, 538, 2990, 267, 855, 6556, 547, 2178, 7485, 689, 519, 10935, 779, 2599, 269, 2368, 2587, 6840, 4782, 547, 1118, 741, 1378, 21679, 29945, 689, 17923, 11425, 267, 1247, 1866, 3442, 519, 4558, 1532, 4454, 3099, 971, 607, 519, 631, 26663, 631, 924, 267, 799, 568, 1500, 689, 11956, 543, 4465, 1406, 15309, 1310, 4598, 547, 6070, 4248, 563, 30875, 543, 1866, 609, 519, 14464, 24035, 5358, 786, 581, 5702, 5464, 519, 2773, 540, 891, 11824, 18625, 936, 519, 1985, 7008, 540, 1296, 269, 1358, 786, 581, 1210, 10427, 2427, 1606, 4754, 5067, 541, 547, 1205, 513, 2143, 14015, 4605, 540, 519, 18625, 1142, 1032, 269, 901, 1259, 267, 789, 786, 581, 2111, 547, 2995, 952, 519, 1570, 568, 29855, 610, 6967, 6534, 607, 12479, 563, 25284, 5234, 786, 849, 581, 1818, 13350, 15143, 547, 519, 18625, 547, 1294, 799, 3165, 2249, 616, 538, 11606, 269, 4911, 6840, 666, 948, 676, 4758, 11908, 667, 24520, 930, 5955, 593, 741, 2833, 693, 519, 11824, 18625, 563, 8448, 15080, 1411, 631, 697, 17949, 0, 288, 6292, 540, 12014, 538, 21086, 1223, 1118, 621, 4443, 585, 1507, 6705, 972, 547, 6318, 543, 26718, 17544, 543, 6133, 741, 5779, 269, 821, 267, 835, 5094, 3915, 267, 786, 1450, 6705, 547, 26718, 267, 1184, 543, 6133, 5779, 689, 909, 547, 476, 272, 267, 1822, 17544, 789, 6318, 1142, 1032, 20136, 824, 12014, 1230, 13935, 2147, 1893, 267, 607, 1134, 607, 824, 6694, 6042, 711, 1644, 547, 17544, 269, 634, 1079, 12014, 849, 1450, 519, 1533, 547, 8524, 3484, 26718, 6703, 563, 288, 7271, 568, 2877, 547, 1450, 1507, 6868, 547, 26718, 519, 17544, 789, 6318, 593, 11396, 607, 19134, 5112, 3938, 656, 2376, 19672, 713, 3018, 616, 10423, 269, 968, 763, 1062, 568, 1305, 547, 1496, 16435, 5922, 17544, 316, 898, 779, 28537, 3379, 547, 782, 824, 2249, 2223, 1767, 21086, 16027, 12253, 320, 700, 732, 572, 267, 945, 12651, 21737, 14918, 267, 17944, 267, 23161, 543, 824, 2831, 593, 827, 476, 2412, 14143, 543, 7028, 519, 3915, 269, 3938, 656, 713, 3018, 269, 968, 2171, 991, 3656, 27792, 1848, 700, 732, 572, 5143, 519, 1957, 602, 1352, 1031, 547, 1832, 17544, 267, 855, 519, 23665, 543, 3790, 2404, 609, 26718, 532, 1500, 621, 17215, 796, 341, 4192, 563, 663, 4352, 3938, 656, 8074, 602, 891, 12014, 723, 519, 1489, 540, 21086, 1507, 6705, 543, 519, 1533, 779, 4972, 540, 11982, 267, 855, 711, 3025, 563, 2108, 314, 288, 316, 6624, 3662, 2924, 15628, 689, 856, 540, 1533, 543, 1256, 13383, 723, 4371, 14021, 5873, 902, 593, 713, 1888, 547, 28586, 891, 12014, 2223, 3938, 656, 7797, 563, 1103, 1249, 267, 930, 856, 4944, 7505, 13915, 3409, 602, 17544, 616, 711, 1426, 269, 11524, 2443, 1519, 513, 5449, 21086, 18322, 2006, 2443, 4625, 3765, 30726, 1242, 519, 12014, 607, 930, 2186, 540, 683, 325, 13895, 1491, 1478, 676, 1804, 6694, 4690, 563, 3147, 1800, 547, 3938, 656, 267, 930, 15628, 3409, 968, 11004, 568, 2370, 3747, 585, 15529, 5779, 2223, 1247, 1866, 3494, 971, 513, 2344, 6818, 267, 855, 968, 1492, 12391, 1857, 786, 28586, 513, 15529, 5779, 2344, 17373, 513, 1533, 6694, 10137, 4274, 1318, 569, 1572, 713, 29576, 568, 968, 793, 528, 656, 6100, 6135, 4768, 656, 8227, 538, 3938, 656, 634, 2489, 3747, 585, 15529, 5779, 2443, 2523, 12725, 6659, 5779, 2443, 1797, 789, 3580, 1039, 621, 547, 519, 10624, 952, 621, 779, 2139, 267, 519, 2376, 1767, 269, 1809, 3662, 2924, 15628, 1810, 1406, 3100, 547, 1416, 563, 514, 513, 5094, 6241, 3330, 3938, 656, 901, 3018, 267, 5449, 21086, 18322, 2006, 667, 10005, 12124, 267, 945, 1727, 4680, 4189, 17544, 267, 8486, 1540, 1018, 1352, 1572, 513, 968, 332, 1994, 3084, 3350, 547, 5000, 513, 5912, 547, 513, 811, 2030, 2861, 2732, 892, 609, 21086, 779, 1507, 14516, 6705, 9870, 17544, 585, 1426, 269, 1635, 4334, 267, 1352, 1476, 3836, 621, 1107, 2901, 31081, 652, 569, 610, 856, 540, 22406, 22293, 1107, 968, 3835, 532, 543, 26718, 532, 2831, 593, 12051, 11396, 9731, 31413, 7475, 609, 606, 16007, 547, 1239, 269, 968, 7628, 519, 15007, 267, 594, 4076, 5249, 2182, 547, 6529, 547, 1239, 12454, 3664, 865, 649, 1810, 1406, 1205, 544, 3291, 1194, 676, 8429, 29749, 4031, 602, 1131, 711, 1152, 1711, 811, 29904, 6483, 267, 855, 3180, 21086, 1394, 2223, 1352, 5206, 269, 1547, 7536, 296, 1589, 594, 666 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 11613, 1100, 1259, 856, 269, 1280, 1383, 267, 950, 596, 616, 3544, 519, 2749, 543, 972, 616, 1100, 7966, 9313, 7404, 563, 3719, 3006, 621, 568, 811, 2953, 711, 547, 2119, 547, 1265, 519, 1034, 2500, 543, 5078, 21447, 602, 3247, 11702, 1282, 28689, 267, 855, 547, 9004, 519, 2014, 540, 713, 21454, 269, 901, 949, 581, 606, 26707, 7434, 25168, 269, 898, 568, 6569, 1282, 519, 5650, 540, 10826, 1777, 720, 267, 543, 1732, 910, 1728, 3122, 22000, 267, 865, 519, 4387, 9090, 786, 711, 581, 19451, 269, 1635, 519, 1259, 267, 519, 25168, 3123, 11702, 1310, 28689, 267, 954, 5443, 11584, 531, 269, 1411, 1590, 1205, 7759, 540, 621, 563, 5194, 1455, 2014, 568, 29897, 4017, 28281, 267, 2523, 22347, 1075, 748, 543, 630, 528, 264, 1804, 7449, 2730, 267, 703, 1090, 1116, 269, 634, 1250, 5448, 6843, 1281, 711, 1450, 519, 19786, 547, 4579, 1134, 269, 5221, 28689, 666, 581, 711, 1152, 10731, 267, 855, 849, 1279, 269, 4427, 332, 1075, 748, 4017, 28281, 616, 2356, 6569, 693, 1022, 2450, 267, 585, 713, 267, 543, 519, 1651, 1707, 540, 519, 829, 32050, 636, 568, 711, 2556, 269, 3733, 5448, 568, 6569, 676, 1728, 3122, 22000, 267, 998, 519, 29199, 269, 2271, 1090, 31100, 1250, 25959, 748, 9136, 543, 7449, 2730, 630, 326, 8089, 593, 519, 19786, 607, 968, 325, 2426, 328, 14615, 909, 547, 476, 278, 4699, 538, 2450, 666, 581, 22272, 541, 8113, 641, 1227, 6569, 269, 1656, 811, 982, 476, 278, 268, 279, 4699, 22272, 541, 582, 558, 1227, 269, 1809, 621, 568, 4502, 15663, 602, 972, 568, 513, 15061, 17441, 2126, 540, 29897, 4017, 28281, 269, 6936, 267, 621, 2337, 585, 513, 1247, 269, 1809, 5713, 607, 513, 1434, 840, 10869, 7041, 269, 715, 3941, 1310, 2126, 616, 4389, 538, 2450, 676, 827, 3368, 563, 4517, 267, 540, 1576, 267, 649, 1590, 711, 7340, 827, 519, 29897, 16050, 2377, 565, 1436, 630, 4932, 288, 1040, 901, 568, 519, 5650, 540, 834, 330, 3739, 257, 1250, 5448, 1510, 606, 1651, 1707, 269, 769, 519, 16050, 602, 20555, 519, 1250, 5448, 267, 896, 2473, 11920, 1852, 267, 519, 4387, 7630, 338, 2377, 10008, 2443, 5536, 602, 616, 9277, 547, 2759, 1055, 1426, 585, 519, 4017, 28281, 269, 2991, 602, 1352, 3587, 683, 23145, 6776, 269, 1325, 2819, 972, 616, 3811, 2164, 540, 519, 5650, 585, 2021, 4058, 6379, 269, 1809, 1631, 661, 7246, 568, 711, 2808, 547, 581, 519, 1655, 3903, 585, 873, 267, 2094, 621, 666, 5732, 2800, 519, 19786, 543, 30124, 269, 1809, 585, 2021, 945, 616, 711, 4058, 513, 6379, 267, 936, 519, 2085, 540, 476, 3374, 543, 609, 2789, 29897, 1250, 5448, 267, 713, 568, 513, 1390, 1259, 547, 1205, 7759, 540, 2042, 267, 1519, 1346, 609, 5230, 28689, 563, 4517, 6368, 267, 519, 1966, 540, 5230, 18492, 2095, 949, 581, 1813, 547, 4401, 10638, 269, 8786, 267, 9642, 569, 2614, 267, 543, 4401, 10638, 568, 15427, 676, 1804, 1973, 2530, 267, 543, 1973, 2530, 949, 581, 1813, 547, 4401, 10638, 269, 1809, 1152, 538, 1931, 547, 1205, 519, 2953, 1267, 630, 1241, 10638, 666, 581, 6456, 1070, 596, 991, 547, 24946, 1973, 711, 593, 24562, 267, 855, 593, 7542, 761, 514, 269, 769, 2013, 540, 21533, 540, 713, 5868, 267, 950, 2921, 4401, 25202, 5061, 267, 543, 28689, 1831, 1447, 10731, 563, 3528, 519, 1259, 267, 519, 15360, 540, 513, 22104, 6048, 543, 1439, 4531, 514, 6048, 267, 538, 2489, 267, 1281, 711, 2800, 267, 952, 519, 14934, 31037, 6048, 1705, 711, 1265, 519, 2014, 540, 5409, 5443, 27695, 630, 515, 8283, 28689, 1040, 2991, 782, 267, 519, 1966, 949, 581, 538, 741, 2694, 563, 8855, 602, 5409, 5443, 27695, 568, 711, 519, 2343, 269, 1411, 666, 543, 1590, 1205, 7759, 540, 621, 269, 901, 786, 581, 1434, 585, 1072, 543, 786, 2333, 519, 2298, 540, 1272, 563, 6781, 1495, 656, 28689, 543, 11702, 910, 1018, 568, 519, 3017, 454, 31863, 5712, 267, 799, 2356, 979, 811, 703, 13208, 538, 519, 1101, 2395, 267, 666, 581, 13747, 689, 5230, 11702, 593, 1896, 12406, 912, 268, 634, 4320, 540, 11166, 568, 711, 4389, 2429, 519, 3018, 563, 268, 634, 991, 547, 1689, 519, 575, 21488, 4386, 909, 547, 476, 1015, 2053, 829, 1554, 563, 268, 2201, 519, 2627, 540, 519, 9882, 1587, 616, 1804, 28163, 563, 268, 19634, 2740, 827, 519, 2178, 17444, 1928, 538, 519, 2539, 17737, 563, 268, 667, 20063, 630, 3650, 5995, 264, 4386, 21237, 563, 1103, 519, 3339, 1576, 540, 28689, 538, 519, 1101, 2395, 267, 7646, 513, 4221, 1928, 538, 519, 2539, 17737, 568, 4847, 269, 1358, 616, 6045, 676, 519, 19432, 540, 519, 19786, 269, 634, 11166, 814, 513, 4158, 2699, 2681, 543, 29935, 11007, 563, 1692, 547, 2268, 1973, 2530, 888, 2414, 798, 713, 267, 9260, 519, 7254, 3202, 23040, 7219, 1354, 543, 1310, 946, 267, 21338, 519, 1239, 593, 1957, 269, 634, 3017, 1063, 519, 2418, 786, 1397, 875, 1454, 1973, 814, 2451, 519, 1560, 585, 513, 1978, 1974, 269, 5681, 2719, 909, 519, 2698, 1871, 540, 1142, 2594, 267, 621, 568, 2653, 547, 5173, 875, 1454, 1973, 568, 4503, 538, 835, 4783, 563, 2171, 1592, 519, 7355, 676, 799, 519, 8515, 540, 1973, 2530, 568, 5462, 912, 268, 15020, 1769, 269, 634, 1560, 19380, 476, 277, 547, 476, 280, 575, 540, 1973, 543, 22024, 269, 717, 21488, 4616, 829, 1554, 910, 476, 272, 910, 476, 273, 563, 268, 14168, 30719, 2472, 1689, 609, 513, 4908, 540, 476, 277, 910, 476, 279, 3108, 267, 21716, 476, 1015, 910, 476, 1321, 575, 540, 29897, 11166, 563, 268, 3525, 4733, 269, 717, 2532, 1115, 616, 4957, 1169, 476, 275, 3108, 269, 11545, 2530, 910, 476, 1724, 910, 476, 1428, 575, 563, 268, 2806, 1495, 656, 269, 634, 991, 547, 1689, 519, 21181, 5526, 1169, 476, 274, 3108, 269, 3131, 1554, 2501, 476, 1240, 575, 540, 1973, 563, 268, 31056, 269, 634, 1913, 834, 854, 1804, 1973, 2530, 257, 568, 5462, 676, 519, 3510, 538, 799, 519, 575, 21488, 568, 4625, 18660, 538, 476, 272, 910, 476, 273, 3108, 269, 901, 568, 606, 9402, 7613, 602, 3340, 2564, 6304, 563, 2750, 947, 633, 18492, 11702, 666, 2049, 1310, 513, 1279, 3251, 538, 513, 12155, 610, 9361, 2990, 269, 634, 6378, 1533, 5012, 547, 24715, 566, 540, 1973, 269, 18143, 5714, 30243, 12885, 267, 13321, 883, 28163, 269, 1809, 952, 519, 4773, 2097, 856, 540, 519, 19786, 7683, 267, 693, 1022, 2990, 540, 519, 1560, 543, 2429, 782, 519, 2395, 267, 621, 568, 2556, 547, 5077, 513, 14934, 31037, 6048, 543, 9004, 519, 2014, 540, 519, 16609, 544, 5151, 563, 26108, 344, 28163, 538, 28689, 666, 581, 513, 10835, 540, 4017, 28281, 267, 26707, 686, 2670, 267, 17818, 18846, 269, 2843, 351, 3522, 7549, 21833, 3264, 16068, 17221, 27188, 18547, 13194, 9924, 27593, 19628, 4344, 21660, 11012, 7549, 6459, 32648, 21170, 13150, 9841, 17095, 476, 4344, 4814, 21134, 16648, 3378, 29652, 13077, 13194, 13833, 3522, 17221, 19628, 15800, 18194, 3264, 32553, 4138, 30530, 4344, 11714, 4138, 25000, 9261, 4138, 4709, 13833, 28314, 31589, 10528, 10528, 9924, 645, 563, 396, 506, 29391, 4138, 18547, 9261, 12811, 4344, 5284, 371, 21162, 3264, 10780, 16417, 10528, 3522, 13077, 4344, 9924, 11012, 17095, 4814, 13833, 3378, 3378, 13150, 3522, 20265, 8563, 20434, 27593, 19628, 27569, 4138, 9261, 4138, 11012, 8563, 26281, 13150, 27593, 9261, 4138, 454, 396, 504, 3522, 7549, 27188, 9261, 12811, 9841, 20732, 4138, 31224, 17095, 4814, 13833, 3378, 16021, 10948, 23845, 3264, 11714, 3378, 11714, 16417, 9261, 9326, 20413, 27799, 9326, 10948, 21162, 17153, 10780, 23485, 15800, 4709, 4344, 12811, 4736, 4138, 8563, 21162, 17153, 11714, 9924, 9686, 3264, 6459, 23845, 9326, 17153, 267, 476, 13077, 4736, 4736, 18547, 21833, 20046, 28314, 4138, 4709, 3264, 7549, 17201, 22147, 269, 1411, 3112, 4235, 21447, 676, 3054, 267, 1256, 952, 789, 5280, 513, 2673, 3448, 610, 8004, 23136, 563, 2691, 513, 7646, 18670, 540, 519, 3461, 666, 581, 11311, 519, 1739, 5061, 912, 268, 667, 1080, 514, 517, 269, 898, 6411, 1360, 3533, 269, 631, 5151, 1831, 9793, 1310, 476, 274, 3108, 1310, 2921, 519, 10788, 269, 667, 21778, 849, 11311, 585, 519, 6604, 540, 2178, 5712, 269, 2271, 571, 27281, 7245, 2164, 538, 476, 736, 3764, 269, 2986, 519, 2427, 2360, 267, 667, 21778, 949, 2014, 29463, 267, 15353, 267, 5492, 3290, 267, 4731, 320, 1047, 267, 21422, 267, 543, 2960, 30919, 563, 268, 9105, 528, 583, 514, 269, 634, 3075, 1568, 547, 7794, 519, 15466, 6821, 267, 865, 602, 519, 1560, 19380, 1447, 1973, 269, 6875, 1896, 2053, 513, 1554, 585, 476, 273, 9184, 563, 268, 25289, 1350, 340, 935, 622, 269, 634, 3075, 4679, 1973, 32378, 267, 6971, 15466, 27978, 269, 3689, 267, 7513, 1350, 340, 935, 622, 568, 13950, 12499, 1597, 3585, 693, 513, 18262, 540, 476, 276, 268, 1428, 16720, 269, 8921, 267, 519, 3075, 568, 11311, 538, 14342, 267, 909, 547, 476, 277, 533, 14369, 269, 829, 1554, 563, 2252, 1200, 1974, 568, 1932, 5230, 267, 543, 519, 4807, 1281, 711, 917, 1018, 547, 798, 267, 1317, 519, 21447, 798, 711, 948, 267, 1352, 666, 1118, 24409, 538, 15360, 609, 519, 4387, 269, 1280, 588, 1645, 24409, 616, 5078, 5061, 2558, 534, 1410, 600, 267, 23819, 553, 565, 267, 667, 1080, 514, 517, 538, 18041, 537, 956, 269, 2558, 534, 1410, 600, 3123, 971, 2427, 2360, 607, 11959, 267, 512, 778, 344, 15258, 807, 267, 546, 4900, 1465, 267, 9221, 1928, 267, 21994, 267, 13481, 267, 8467, 563, 763, 2805, 540, 14021, 11702, 9434, 811, 982, 513, 3923, 3340, 513, 1114, 1935, 269, 16200, 12675, 28689, 4386, 1813, 547, 17441, 4713, 269, 634, 2783, 568, 22621, 676, 1950, 2126, 912, 268, 634, 3483, 540, 5711, 15333, 1061, 1161, 910, 6348, 14114, 341, 23127, 267, 631, 619, 15714, 563, 268, 5709, 725, 585, 29897, 19432, 910, 7621, 12682, 665, 514, 630, 611, 3439, 1229, 12499, 1597, 3585, 610, 703, 1090, 31100, 569, 267, 519, 1101, 1505, 540, 4259, 519, 13297, 3947, 606, 8216, 1198, 1916, 268, 12920, 739, 18267, 910, 23819, 553, 565, 267, 993, 514, 665, 777, 549, 545, 3679, 3339, 1125, 519, 1184, 540, 1973, 30243, 1637, 269, 18729, 568, 13950, 12499, 1597, 3585, 1169, 476, 275, 3108, 267, 1210, 476, 1911, 16720, 540, 513, 476, 276, 260, 3070, 1169, 942, 269, 23819, 553, 565, 910, 513, 10991, 1387, 4084, 540, 6171, 918, 568, 1031, 538, 519, 1106, 540, 14342, 543, 18041, 537, 956, 269, 11545, 9570, 540, 519, 3070, 910, 476, 272, 910, 476, 273, 18041, 537, 956, 267, 14342, 910, 476, 275, 533, 14369, 269, 634, 1198, 540, 519, 8665, 568, 5433, 538, 476, 1015, 910, 476, 1321, 3108, 563, 268, 1677, 2893, 23847, 519, 1560, 609, 4401, 910, 590, 12643, 11717, 267, 674, 523, 6160, 563, 268, 14997, 11914, 512, 3307, 999, 910, 512, 3307, 675, 540, 1216, 14723, 267, 512, 3307, 675, 540, 18848, 5255, 2643, 639, 563, 6524, 2921, 646, 2865, 1738, 5061, 547, 3247, 5230, 5712, 267, 596, 1058, 581, 5432, 609, 741, 15333, 785, 10716, 269, 1280, 1383, 267, 667, 1080, 514, 517, 19275, 689, 946, 609, 1367, 22166, 547, 519, 3334, 267, 2619, 3098, 540, 519, 30057, 1062, 267, 8459, 543, 6797, 267, 2799, 1973, 32378, 543, 7280, 2000, 716, 846, 10638, 563, 3891, 8283, 11702, 1282, 28689, 281, 1018, 547, 798, 454, 2252, 519, 575, 2532, 1115, 616, 4957, 1169, 5662, 267, 621, 1797, 602, 519, 11702, 814, 8118, 1282, 28689, 543, 875, 547, 3247, 621, 1058, 581, 12193, 5612, 267, 9319, 5906, 585, 1973, 2530, 269, 6969, 519, 12625, 540, 519, 4387, 693, 1753, 267, 596, 666, 2119, 547, 2569, 519, 8515, 540, 11166, 593, 707, 1378, 563, 1692, 547, 948, 3054, 609, 5230, 5712, 912, 268, 1290, 3228, 2406, 9114, 1524, 609, 513, 10788, 578, 896, 707, 3952, 630, 3916, 2125, 1058, 581, 2362, 982, 824, 2694, 540, 519, 1560, 1916, 268, 9255, 513, 3905, 1216, 11480, 609, 3579, 1216, 585, 476, 1428, 3764, 538, 519, 2539, 17737, 630, 1407, 17632, 786, 16756, 693, 513, 1216, 2837, 540, 1341, 736, 910, 476, 1839, 11019, 595, 1916, 268, 27276, 1216, 267, 6653, 7401, 267, 23238, 630, 320, 1804, 2179, 540, 5277, 786, 1118, 909, 585, 8652, 25270, 267, 23868, 6995, 543, 4568, 1916, 268, 16202, 25167, 3536, 630, 1076, 5338, 8515, 786, 4188, 8324, 645, 267, 595, 267, 589, 1916, 763, 1292, 3123, 540, 2799, 18492, 2095, 616, 513, 5821, 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 ]
[ 4501, 352, 327, 895, 681, 800, 5839, 4302, 699, 267, 693, 519, 4098, 540, 519, 31052, 542, 267, 945, 3357, 883, 606, 2296, 22918, 12661, 753, 2777, 267, 543, 1336, 1864, 538, 1010, 5127, 267, 543, 972, 3459, 547, 2267, 4501, 352, 857, 622, 8525, 476, 7830, 543, 25711, 1010, 21736, 1560, 267, 602, 646, 324, 1522, 970, 677, 540, 1864, 513, 4762, 11970, 1141, 1010, 14951, 2482, 267, 799, 950, 713, 18157, 26531, 22918, 548, 2006, 1035, 4501, 352, 3104, 1194, 3022, 538, 13922, 547, 581, 552, 1078, 267, 789, 2267, 11481, 7166, 1864, 267, 543, 1287, 588, 2815, 1010, 7385, 21736, 267, 543, 5828, 1200, 856, 540, 9885, 267, 607, 952, 789, 1131, 1118, 782, 5260, 720, 899, 2933, 281, 543, 2063, 569, 267, 25120, 4302, 699, 3576, 1010, 8250, 1373, 513, 1697, 22918, 548, 4501, 352, 30513, 543, 13854, 1010, 28458, 569, 561, 755, 593, 1200, 1219, 331, 28666, 1200, 267, 607, 952, 713, 729, 1932, 2370, 547, 6146, 1200, 4651, 267, 2490, 1200, 3993, 856, 540, 798, 2803, 267, 543, 6057, 1200, 5128, 324, 267, 855, 899, 606, 11375, 636, 2033, 16645, 664, 2759, 1055, 1200, 23157, 676, 519, 1647, 267, 543, 1287, 2881, 4501, 352, 2740, 1200, 547, 519, 23502, 540, 519, 1455, 590, 746, 4536, 267, 547, 581, 26884, 693, 741, 5418, 320, 4501, 352, 338, 675, 563, 12648, 5469, 540, 519, 1025, 3716, 344, 2853, 267, 543, 16970, 2906, 540, 7931, 880, 5428, 267, 2523, 540, 519, 20908, 7057, 543, 623, 1845, 1206, 267, 1346, 3595, 4501, 352, 3630, 2738, 540, 18774, 267, 945, 693, 713, 1360, 1554, 547, 1651, 5971, 741, 2598, 3321, 547, 544, 1887, 267, 607, 568, 26019, 27787, 267, 798, 324, 606, 2002, 873, 609, 519, 15762, 26963, 540, 519, 1133, 794, 267, 607, 4501, 352, 338, 1005, 8525, 1496, 18365, 3518, 1229, 2639, 763, 2776, 652, 525, 1299, 594, 525, 340, 2572, 606, 2002, 324, 519, 31052, 338, 609, 972, 15762, 26963, 540, 642, 333, 794, 1354, 789, 979, 324, 547, 544, 1887, 1299, 887, 2041, 11849, 1005, 324, 873, 602, 585, 972, 5789, 3218, 1190, 5395, 340, 823, 267, 952, 789, 581, 7166, 646, 4927, 9101, 623, 4026, 2218, 1299, 979, 547, 646, 879, 523, 708, 4501, 352, 9712, 520, 569, 563, 5445, 798, 2356, 22600, 749, 972, 4666, 2961, 2665, 2482, 978, 530, 6162, 945, 4927, 2759, 27811, 883, 972, 4666, 17145, 609, 972, 590, 4486, 985, 269, 789, 6861, 938, 2296, 2701, 324, 701, 538, 1033, 652, 320, 4501, 352, 5406, 540, 721, 267, 4352, 835, 568, 1732, 1287, 476, 275, 540, 741, 338, 269, 789, 688, 826, 12247, 539, 547, 887, 1774, 856, 519, 2012, 540, 519, 2296, 563, 5445, 798, 324, 2356, 22600, 548, 741, 4666, 1286, 322, 13293, 18413, 530, 6162, 267, 945, 4927, 2759, 27811, 883, 741, 17145, 609, 741, 7729, 1231, 563, 4263, 2961, 341, 27895, 267, 683, 699, 2051, 518, 656, 267, 519, 1234, 4501, 352, 321, 1564, 3357, 547, 1917, 7398, 519, 269, 19331, 928, 267, 9457, 18007, 569, 19656, 547, 519, 17709, 26427, 11184, 3627, 1849, 582, 18976, 267, 3357, 8521, 609, 513, 1507, 7577, 827, 1614, 4627, 2367, 547, 2061, 873, 267, 789, 3357, 2390, 873, 609, 513, 1360, 1390, 2754, 267, 543, 1793, 826, 782, 855, 5216, 540, 519, 14308, 1218, 267, 3490, 10800, 4501, 352, 731, 1125, 1141, 789, 1616, 10100, 267, 789, 1118, 621, 909, 609, 646, 2355, 543, 1617, 6421, 540, 19225, 539, 670, 4100, 267, 543, 519, 811, 905, 732, 4501, 352, 21459, 543, 10800, 731, 569, 267, 2479, 519, 811, 2267, 749, 2390, 1022, 5413, 563, 17273, 476, 4792, 2353, 741, 16970, 2906, 723, 1044, 2356, 593, 771, 28534, 2367, 538, 1507, 16645, 1137, 267, 1141, 729, 1100, 4222, 547, 5706, 873, 267, 972, 789, 723, 28112, 2335, 714, 323, 936, 519, 21260, 3023, 267, 2021, 267, 1299, 789, 723, 3490, 569, 2468, 2794, 1117, 936, 2370, 1453, 741, 30270, 554, 987, 1044, 324, 27361, 269, 7937, 3490, 10800, 731, 1047, 952, 789, 723, 5887, 3293, 930, 4501, 352, 9392, 593, 1625, 2367, 267, 621, 554, 987, 1044, 324, 950, 789, 941, 21736, 267, 607, 789, 723, 10822, 10760, 689, 1346, 674, 3753, 799, 741, 5428, 723, 9241, 588, 2815, 21736, 281, 676, 543, 676, 789, 1558, 609, 811, 540, 1346, 6519, 4501, 352, 331, 9121, 16645, 664, 525, 538, 3549, 269, 1358, 1131, 11338, 6057, 1346, 4057, 21736, 14308, 1218, 899, 17268, 267, 4946, 547, 741, 3765, 2044, 25588, 873, 543, 20015, 2358, 741, 21736, 4703, 609, 524, 644, 326, 1564, 267, 8840, 519, 9843, 540, 930, 543, 10138, 532, 1866, 602, 952, 789, 723, 711, 5747, 267, 789, 723, 1044, 324, 5906, 569, 521, 545, 651, 609, 519, 11375, 340, 4501, 352, 2006, 324, 6165, 540, 1346, 24271, 559, 612, 530, 4958, 2583, 281, 562, 599, 267, 2864, 1287, 789, 786, 581, 630, 7224, 1560, 264, 789, 786, 1352, 342, 741, 812, 3125, 538, 705, 340, 4501, 352, 28410, 4666, 4703, 267, 607, 713, 1650, 32141, 676, 1360, 23674, 21981, 689, 741, 1378, 4032, 3234, 523, 563, 17273, 476, 5780, 3371, 594, 4927, 29872, 596, 609, 513, 556, 4501, 352, 5658, 762, 9452, 267, 799, 594, 4607, 689, 513, 18299, 523, 540, 14878, 331, 1231, 21981, 540, 1434, 1065, 1393, 972, 543, 1934, 281, 13296, 596, 949, 1531, 1245, 519, 9153, 1500, 1434, 547, 519, 17557, 2427, 267, 799, 519, 7083, 5128, 324, 1500, 547, 1010, 4658, 5840, 267, 602, 2947, 1058, 29677, 513, 4627, 563, 2005, 20938, 2696, 676, 835, 812, 543, 1906, 609, 1864, 547, 856, 1673, 732, 827, 13977, 23524, 4501, 352, 338, 663, 540, 1346, 10800, 731, 569, 1234, 321, 1564, 267, 4171, 2014, 568, 3490, 267, 4171, 15215, 568, 855, 513, 803, 699, 5910, 775, 585, 741, 1025, 3716, 344, 632, 4501, 352, 338, 793, 525, 267, 543, 3976, 621, 729, 607, 602, 18299, 523, 1644, 563, 288, 1360, 1390, 8136, 540, 827, 13977, 8536, 1234, 321, 1564, 14850, 773, 3022, 667, 549, 1117, 1695, 267, 13296, 729, 602, 1130, 5050, 543, 3909, 2155, 6387, 11184, 8361, 570, 747, 13118, 333, 267, 609, 513, 1906, 540, 519, 17557, 5428, 609, 1864, 538, 6476, 540, 1346, 1617, 6421, 540, 1234, 321, 1564, 267, 3972, 532, 547, 741, 1390, 8136, 267, 12050, 569, 18796, 519, 19331, 928, 267, 952, 789, 1131, 6556, 267, 1100, 2243, 267, 855, 789, 1058, 723, 3655, 790, 10116, 281, 855, 11184, 8361, 17273, 476, 6858, 6616, 873, 630, 1080, 2693, 264, 1360, 1134, 875, 13526, 573, 1190, 789, 941, 267, 543, 519, 8350, 572, 547, 581, 5156, 267, 519, 811, 789, 2220, 648, 543, 4291, 3603, 2933, 267, 759, 5193, 569, 556, 4501, 352, 2952, 539, 267, 543, 2366, 519, 1234, 321, 1564, 713, 8382, 269, 2142, 621, 917, 928, 547, 596, 594, 993, 513, 590, 746, 1512, 26870, 267, 543, 27315, 2760, 6556, 855, 2390, 1614, 2175, 912, 268, 476, 272, 6969, 594, 21704, 594, 786, 6146, 782, 519, 14466, 1235, 538, 519, 16011, 563, 268, 476, 273, 594, 786, 6861, 782, 519, 715, 684, 1676, 625, 563, 268, 476, 274, 594, 786, 3595, 519, 19331, 928, 267, 543, 15292, 538, 519, 1769, 540, 621, 267, 676, 519, 948, 540, 2696, 547, 25212, 563, 301, 599, 267, 2864, 1287, 594, 786, 2285, 909, 267, 594, 786, 3049, 593, 513, 4062, 540, 513, 4666, 7504, 267, 543, 952, 602, 3655, 850, 267, 594, 786, 3548, 519, 13105, 540, 606, 2025, 7377, 880, 25548, 9007, 269, 901, 5642, 646, 324, 28520, 1851, 1346, 17237, 20384, 267, 543, 596, 949, 4952, 875, 789, 882, 1639, 621, 563, 4517, 602, 7415, 3236, 799, 729, 3370, 676, 1931, 540, 519, 9406, 12968, 22789, 519, 5600, 540, 700, 3581, 2341, 4501, 352, 940, 713, 32201, 543, 16241, 26427, 8525, 476, 6924, 11184, 8361, 570, 747, 13118, 333, 267, 875, 621, 20938, 2696, 547, 22632, 1864, 609, 513, 13151, 525, 2685, 4619, 334, 4501, 352, 787, 1996, 519, 1234, 321, 1564, 1631, 1360, 25015, 267, 789, 1373, 9141, 538, 667, 549, 1117, 1695, 267, 547, 3548, 7504, 17145, 585, 1616, 540, 824, 11865, 269, 634, 1234, 321, 1564, 2348, 5832, 539, 909, 519, 681, 328, 4501, 352, 591, 538, 4126, 547, 1183, 324, 701, 856, 11865, 676, 7256, 267, 602, 1100, 8323, 324, 1522, 2097, 689, 25212, 267, 621, 20938, 2696, 547, 6318, 971, 513, 7088, 324, 602, 13264, 519, 5832, 267, 543, 1085, 520, 974, 4501, 352, 1042, 519, 14763, 16996, 267, 543, 8118, 513, 1863, 8574, 689, 25212, 267, 17929, 789, 941, 17212, 1386, 267, 25552, 581, 2696, 269, 4935, 519, 7083, 10692, 585, 873, 676, 12798, 543, 1530, 553, 269, 1306, 519, 2842, 525, 543, 1530, 553, 23491, 1864, 267, 543, 646, 324, 3652, 538, 873, 267, 865, 593, 519, 2244, 646, 3652, 269, 898, 568, 2608, 2254, 676, 1082, 855, 676, 1906, 267, 835, 4927, 29677, 513, 4627, 950, 2696, 24738, 585, 1010, 1004, 563, 2005, 568, 7415, 547, 1294, 875, 1906, 723, 669, 1078, 891, 1234, 321, 1564, 267, 607, 4300, 4100, 538, 513, 14594, 1224, 538, 519, 12057, 267, 1018, 789, 1705, 1354, 570, 1042, 27895, 269, 1323, 8136, 540, 519, 1234, 321, 1564, 676, 8092, 14084, 1354, 519, 4975, 267, 14213, 539, 873, 538, 13922, 547, 1340, 880, 873, 281, 1141, 1575, 517, 713, 32201, 18279, 11184, 8361, 570, 747, 13118, 333, 267, 521, 958, 9364, 856, 540, 519, 16011, 267, 855, 609, 17288, 4053, 27365, 4501, 352, 339, 4536, 267, 543, 607, 1082, 7504, 267, 10726, 1055, 535, 537, 516, 8525, 1496, 18365, 3518, 1229, 2639, 303, 1638, 532, 873, 827, 519, 8265, 525, 676, 519, 688, 790, 540, 519, 2212, 267, 546, 4770, 519, 4132, 27231, 2909, 1149, 1996, 519, 2022, 525, 2161, 333, 613, 891, 941, 519, 28522, 2471, 540, 519, 2296, 590, 578, 525, 563, 291, 5766, 1117, 1695, 865, 1025, 12097, 909, 602, 513, 1668, 17850, 540, 765, 622, 729, 16784, 585, 476, 2537, 269, 1744, 650, 267, 1299, 803, 622, 10077, 4501, 352, 576, 547, 581, 1185, 693, 1022, 2557, 16123, 359, 27950, 16123, 359, 476, 275, 269, 476, 13932, 272, 563, 2080, 1491, 5469, 540, 741, 10800, 731, 1047, 1586, 324, 13986, 593, 513, 15626, 15248, 676, 513, 14594, 2366, 689, 5722, 540, 519, 6264, 1234, 321, 1564, 267, 609, 1200, 759, 5193, 543, 3768, 320, 684, 4501, 352, 1540, 2626, 547, 873, 607, 1246, 1892, 563, 763, 1234, 321, 1564, 14594, 547, 519, 15248, 5510, 26515, 267, 538, 1200, 16836, 693, 717, 525, 3559, 563, 2414, 519, 8956, 762, 543, 4278, 823, 9825, 6681, 15248, 267, 519, 15248, 6226, 2421, 267, 891, 2285, 563, 25446, 1010, 20727, 652, 625, 561, 1195, 718, 23527, 581, 4501, 352, 532, 693, 519, 1459, 6964, 538, 1010, 4400, 5886, 572, 6796, 585, 519, 2921, 540, 713, 707, 16836, 267, 596, 616, 4061, 547, 5838, 21349, 721, 1863, 15896, 540, 707, 1767, 16836, 267, 9621, 5132, 2685, 267, 602, 707, 28247, 880, 760, 267, 1927, 609, 8525, 476, 10170, 519, 1964, 538, 519, 1767, 16836, 1964, 656, 4927, 723, 513, 10257, 5888, 282, 6382, 2390, 519, 27548, 540, 519, 16836, 267, 649, 324, 798, 324, 26924, 596, 602, 649, 786, 6633, 519, 2898, 16011, 267, 6146, 782, 519, 14308, 1218, 267, 543, 22302, 9444, 812, 267, 4807, 6862, 1126, 2390, 2921, 519, 16836, 281, 6333, 630, 32743, 600, 264, 540, 713, 938, 2709, 267, 543, 791, 1393, 711, 519, 16620, 540, 707, 7640, 928, 1165, 569, 21349, 721, 267, 6094, 651, 711, 602, 1934, 649, 324, 2909, 326, 281, 707, 28247, 880, 760, 2390, 19169, 267, 4927, 723, 513, 2922, 5996, 1195, 547, 5150, 596, 689, 519, 3946, 540, 707, 14763, 267, 543, 547, 1291, 596, 1141, 596, 4734, 269, 589, 3432, 344, 16253, 529, 632, 4501, 352, 338, 1600, 609, 782, 16939, 267, 543, 3976, 649, 324, 1147, 4501, 352, 576, 848, 912, 268, 8361, 5915, 1910, 563, 268, 8176, 5915, 1910, 563, 268, 12448, 23575, 18536, 563, 268, 1230, 333, 5915, 10043, 563, 268, 623, 3559, 574, 5915, 1910, 563, 268, 3627, 30647, 1513, 563, 268, 6276, 544, 5213, 601, 563, 763, 15248, 5510, 26515, 1200, 2626, 547, 519, 1234, 321, 1564, 10422, 720, 476, 7761, 454, 2690, 1250, 15328, 514, 8361, 5915, 10043, 543, 519, 1964, 563, 296, 1234, 18727, 707, 14594, 267, 13296, 596, 555, 16699, 4501, 352, 1084, 547, 521, 871, 713, 1250, 16836, 676, 1010, 20727, 324, 4501 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 666, 2161, 609, 6015, 602, 713, 1843, 568, 593, 922, 1259, 856, 540, 519, 3859, 1062, 543, 711, 4947, 1394, 4799, 30706, 2094, 267, 621, 814, 1044, 4121, 602, 519, 20503, 568, 3001, 856, 689, 938, 3859, 861, 770, 655, 267, 519, 19936, 616, 678, 5241, 547, 1205, 922, 835, 19214, 1354, 621, 8709, 8460, 269, 0, 10955, 1189, 5915, 321, 22603, 3056, 513, 31111, 4323, 543, 6216, 5109, 513, 16961, 32267, 267, 8090, 1354, 1010, 2669, 269, 32088, 7376, 563, 347, 8333, 32752, 543, 3401, 2008, 13202, 570, 903, 338, 22603, 630, 303, 8582, 10245, 10955, 1189, 5915, 321, 22603, 722, 510, 454, 299, 644, 23143, 13153, 27015, 2131, 454, 347, 4462, 4385, 267, 6059, 693, 1906, 5215, 1475, 4462, 4385, 267, 6059, 693, 1906, 5215, 2008, 18871, 553, 783, 2906, 543, 9271, 2008, 763, 918, 21531, 6759, 342, 772, 19828, 540, 5988, 476, 7277, 277, 729, 606, 3801, 267, 3366, 676, 14470, 1202, 4026, 757, 971, 607, 3967, 570, 903, 338, 22603, 543, 11977, 5915, 321, 22603, 267, 547, 1651, 924, 513, 4339, 585, 3084, 7115, 269, 634, 32574, 729, 10704, 593, 519, 2749, 540, 918, 21531, 6759, 342, 267, 519, 3854, 540, 513, 1507, 1533, 540, 5131, 4975, 540, 918, 21531, 578, 269, 898, 729, 9859, 693, 519, 7060, 602, 15652, 539, 12996, 267, 538, 1880, 519, 7404, 22341, 7276, 269, 634, 32574, 16768, 827, 8370, 2395, 267, 543, 8694, 609, 22341, 11802, 563, 763, 32574, 729, 5097, 6896, 543, 6462, 676, 2818, 540, 519, 14470, 28665, 543, 1647, 1362, 267, 945, 5551, 519, 11808, 540, 14470, 7115, 1310, 519, 476, 9692, 276, 851, 1431, 540, 12996, 8694, 922, 6228, 607, 513, 19988, 1533, 282, 972, 729, 849, 1489, 585, 1585, 2797, 543, 1514, 15024, 630, 7945, 607, 519, 7569, 585, 519, 31414, 540, 27998, 543, 606, 1439, 547, 1583, 325, 3256, 1040, 3509, 540, 519, 1202, 4026, 757, 262, 2093, 941, 2919, 538, 24815, 676, 15628, 689, 3906, 971, 607, 519, 14470, 14891, 5980, 269, 634, 32574, 729, 9277, 547, 1491, 1747, 538, 824, 6753, 267, 855, 4057, 11558, 543, 10654, 338, 676, 8128, 13264, 1082, 824, 2281, 267, 1034, 16113, 538, 20523, 12996, 269, 634, 32574, 729, 849, 6462, 676, 930, 2199, 27998, 689, 519, 5131, 4975, 543, 519, 19379, 540, 519, 654, 1408, 545, 345, 6390, 6070, 9553, 269, 634, 5131, 4975, 540, 918, 21531, 578, 267, 9930, 3373, 4830, 267, 729, 513, 3844, 1747, 585, 605, 6261, 565, 880, 7115, 15628, 547, 1865, 741, 4566, 563, 763, 32574, 3459, 593, 519, 3781, 540, 476, 736, 5988, 476, 7277, 277, 269, 898, 729, 3811, 538, 513, 2110, 2165, 267, 13713, 2921, 936, 519, 2749, 540, 918, 21531, 6759, 342, 269, 674, 3166, 609, 27632, 1824, 267, 23405, 543, 3046, 878, 3547, 267, 513, 1507, 22341, 3196, 538, 519, 2749, 896, 4937, 32400, 2051, 4802, 3533, 1427, 8972, 269, 589, 1008, 29850, 2229, 4646, 593, 476, 2420, 5988, 269, 2334, 1554, 621, 9783, 513, 9097, 834, 10048, 28685, 334, 585, 519, 14470, 13780, 2580, 538, 799, 621, 10288, 519, 1439, 540, 1082, 2609, 540, 1583, 325, 3256, 267, 971, 607, 1351, 341, 19902, 267, 10294, 8471, 27049, 267, 543, 824, 12316, 2093, 6273, 676, 519, 3943, 7169, 563, 7197, 540, 519, 32574, 729, 3908, 547, 519, 5131, 4975, 540, 918, 21531, 578, 267, 1141, 922, 3401, 3769, 808, 698, 328, 749, 20897, 2160, 6138, 7548, 5760, 320, 286, 12598, 345, 333, 1171, 24989, 267, 543, 32082, 543, 15818, 3967, 570, 903, 338, 22603, 267, 945, 10294, 5128, 513, 9598, 1807, 593, 476, 2190, 5988, 630, 307, 903, 338, 22603, 729, 19443, 676, 9097, 24339, 520, 267, 9117, 607, 1010, 23122, 267, 11977, 5915, 321, 22603, 267, 945, 2687, 547, 930, 1522, 723, 1044, 519, 1483, 6205, 540, 519, 12316, 2229, 1040, 2201, 476, 2767, 5988, 513, 6560, 585, 1379, 2919, 267, 543, 12598, 345, 333, 1171, 24989, 267, 1310, 513, 8959, 3801, 547, 1491, 1379, 267, 729, 608, 6150, 676, 570, 903, 338, 22603, 543, 5915, 321, 22603, 1369, 513, 2339, 540, 3108, 563, 288, 755, 6929, 4229, 538, 519, 1858, 941, 3366, 676, 32400, 13153, 27015, 2131, 269, 634, 4838, 2456, 267, 5103, 930, 1489, 689, 519, 5131, 4975, 543, 922, 7525, 10450, 267, 535, 1563, 21354, 538, 519, 9962, 24781, 269, 1358, 1185, 909, 547, 476, 277, 267, 1822, 13538, 267, 855, 1082, 941, 21354, 8036, 543, 14605, 11439, 269, 634, 30280, 11124, 513, 14710, 593, 476, 2918, 5988, 693, 519, 11135, 540, 717, 323, 6759, 342, 543, 941, 3533, 24797, 676, 13153, 27015, 2131, 781, 4229, 269, 634, 14470, 19524, 267, 29962, 32021, 889, 6270, 528, 345, 1168, 24989, 267, 729, 22309, 585, 4057, 5718, 267, 543, 585, 711, 2921, 6190, 15416, 5103, 1085, 719, 5359, 540, 606, 16042, 10546, 3196, 269, 634, 6370, 729, 1360, 2110, 267, 607, 519, 14470, 4229, 25540, 3592, 5612, 267, 609, 1034, 540, 519, 26462, 9676, 610, 7166, 676, 519, 27998, 18913, 519, 22341, 4229, 563, 763, 32574, 729, 4166, 26793, 676, 519, 22341, 7952, 609, 948, 689, 2199, 27998, 269, 634, 32066, 4831, 3146, 14179, 339, 267, 1634, 607, 519, 8895, 6509, 26718, 267, 729, 2693, 9415, 676, 519, 22341, 8128, 267, 945, 23699, 519, 27998, 262, 27025, 8351, 609, 519, 2244, 14935, 269, 898, 729, 4401, 545, 267, 607, 14787, 18238, 670, 10849, 321, 1177, 332, 814, 7074, 267, 602, 519, 27998, 5828, 741, 10845, 593, 519, 4838, 2456, 267, 4171, 16431, 3769, 519, 6454, 540, 32066, 3510, 269, 5502, 267, 1034, 27998, 11967, 519, 22341, 8387, 267, 930, 540, 7247, 1256, 16219, 519, 27998, 547, 1439, 1583, 325, 3256, 543, 2628, 513, 23616, 754, 585, 741, 7589, 538, 519, 17740, 807, 6322, 693, 844, 4770, 519, 14470, 15626, 1202, 4026, 757, 269, 769, 835, 8498, 267, 950, 519, 30280, 6836, 547, 22321, 519, 27998, 602, 789, 1131, 581, 1732, 1055, 952, 519, 3243, 20379, 941, 30461, 267, 519, 27998, 14452, 602, 789, 941, 5432, 609, 2984, 540, 2244, 26782, 30468, 896, 519, 14470, 20448, 543, 602, 789, 941, 19914, 789, 1223, 1631, 29153, 547, 519, 22341, 17169, 563, 2005, 568, 6059, 602, 827, 476, 272, 267, 1822, 268, 273, 267, 1822, 14470, 28665, 945, 6462, 519, 32574, 5747, 538, 519, 4655, 269, 4340, 547, 7225, 5459, 267, 519, 22341, 4108, 538, 1249, 1185, 547, 26544, 693, 835, 1448, 547, 3247, 519, 5208, 543, 2149, 519, 30280, 563, 6097, 547, 700, 619, 7288, 267, 5915, 321, 22603, 729, 25370, 9150, 539, 543, 13401, 676, 519, 3243, 20379, 269, 11524, 267, 971, 607, 715, 766, 267, 5096, 625, 543, 2098, 600, 9081, 7288, 2705, 1683, 1776, 2272, 540, 1010, 2669, 282, 2687, 547, 891, 2959, 646, 5747, 593, 476, 2767, 5988, 8165, 519, 22341, 7952, 267, 1310, 513, 3909, 1184, 542, 609, 799, 646, 13986, 547, 844, 749, 519, 27998, 729, 16091, 269, 21894, 519, 2013, 267, 519, 2229, 540, 570, 903, 338, 22603, 1147, 16781, 1229, 267, 1175, 8370, 2395, 1310, 2921, 1379, 267, 543, 918, 21531, 6759, 342, 729, 13026, 1101, 676, 28592, 630, 517, 476, 274, 4728, 1070, 543, 4166, 26063, 630, 704, 4257, 593, 519, 1482, 1554, 1070, 676, 519, 3243, 20379, 896, 2051, 4802, 269, 630, 291, 822, 625, 2705, 11339, 602, 28592, 8678, 3243, 20379, 593, 476, 275, 4728, 1040, 570, 903, 338, 22603, 267, 945, 18084, 519, 2398, 11701, 8473, 609, 827, 476, 272, 267, 4335, 7980, 593, 476, 275, 4728, 267, 729, 2028, 539, 267, 543, 2663, 32164, 3603, 547, 519, 2136, 2276, 563, 288, 755, 6319, 543, 6576, 9896, 513, 14097, 593, 476, 1626, 5437, 267, 14045, 547, 1439, 519, 4567, 540, 918, 21531, 6759, 342, 607, 519, 5131, 4975, 269, 30272, 267, 918, 21531, 6759, 342, 543, 922, 4478, 1858, 941, 24509, 539, 547, 519, 8003, 540, 8895, 545, 807, 543, 700, 617, 558, 4997, 267, 513, 11662, 540, 519, 22341, 7276, 267, 609, 922, 3854, 693, 700, 1897, 326, 630, 299, 342, 6759, 342, 267, 700, 341, 643, 1040, 901, 18670, 540, 519, 476, 8687, 276, 15521, 540, 21499, 3361, 513, 2110, 5030, 29317, 538, 3864, 6214, 540, 519, 1554, 269, 918, 21531, 6759, 342, 1131, 581, 2124, 326, 730, 547, 519, 1909, 540, 513, 21621, 3854, 538, 519, 7276, 563, 2026, 7074, 676, 18722, 267, 5103, 922, 5821, 267, 519, 32574, 729, 2938, 676, 930, 5640, 267, 1519, 20913, 14100, 267, 607, 513, 834, 1372, 788, 569, 11180, 3350, 602, 6322, 693, 2244, 6963, 543, 824, 10296, 1514, 2055, 1701, 634, 32574, 729, 26916, 676, 14100, 543, 26179, 1621, 1564, 585, 1373, 834, 1492, 1101, 538, 2342, 547, 2030, 519, 7333, 1676, 540, 1514, 4838, 2580, 543, 2938, 676, 873, 267, 607, 1134, 607, 930, 2413, 5640, 267, 24888, 547, 519, 4947, 11354, 540, 8315, 269, 901, 2070, 568, 1455, 538, 519, 14470, 2351, 25086, 563, 763, 22341, 7276, 267, 543, 519, 5450, 1181, 747, 12512, 267, 6038, 4503, 856, 538, 519, 18259, 2112, 602, 4553, 519, 772, 19828, 269, 634, 1249, 602, 519, 32066, 787, 6462, 519, 3243, 20379, 936, 513, 2132, 547, 14470, 4341, 729, 4503, 267, 609, 519, 30280, 6707, 19101, 602, 519, 3243, 20379, 1185, 3927, 11751, 1055, 519, 27998, 543, 5828, 873, 1996, 741, 3084, 3401, 269, 634, 15061, 5450, 1181, 747, 849, 1131, 6560, 547, 16175, 16153, 602, 32066, 5208, 729, 1175, 16666, 267, 1256, 952, 621, 729, 538, 1489, 540, 519, 670, 11274, 7921, 7276, 563, 2026, 4166, 607, 519, 918, 21531, 6759, 342, 772, 19828, 729, 2322, 1524, 267, 519, 3243, 20379, 31390, 1881, 519, 1202, 4026, 550, 32066, 787, 267, 13713, 19620, 519, 32540, 1931, 269, 8409, 27998, 945, 11542, 1524, 543, 4553, 519, 8128, 267, 899, 519, 32066, 6205, 32021, 889, 590, 345, 11253, 267, 941, 30039, 269, 16480, 267, 538, 15212, 267, 15024, 941, 838, 13899, 676, 519, 918, 21531, 6759, 342, 772, 19828, 540, 476, 7277, 277, 543, 519, 11354, 540, 8315, 538, 476, 7277, 279, 267, 4611, 538, 519, 13373, 7321, 540, 1583, 325, 3256, 538, 476, 7277, 279, 269, 0, 1103, 476, 4489, 279, 267, 519, 5053, 2770, 3323, 1055, 607, 513, 3339, 1480, 14798, 3644, 3576, 513, 15265, 2490, 543, 2968, 1768, 1026, 569, 24037, 269, 901, 729, 519, 1101, 2101, 2770, 6855, 540, 519, 476, 736, 628, 2540, 269, 12207, 3494, 602, 713, 3644, 729, 513, 4573, 730, 1106, 540, 513, 6177, 2770, 3644, 563, 763, 1101, 4080, 2013, 540, 6177, 519, 1007, 6177, 2770, 3644, 729, 4080, 538, 2904, 476, 1960, 278, 269, 634, 670, 276, 301, 272, 610, 519, 3644, 849, 1634, 607, 519, 16819, 12071, 3644, 729, 4857, 547, 723, 7783, 476, 1240, 543, 7166, 3670, 2550, 538, 15173, 3751, 269, 634, 9601, 1185, 1044, 538, 2673, 3346, 609, 7783, 16738, 269, 623, 15160, 538, 15173, 3751, 729, 10032, 547, 3247, 543, 2417, 3262, 563, 11813, 626, 6956, 602, 713, 3644, 1131, 4166, 1831, 513, 3463, 547, 519, 1480, 2551, 269, 634, 7903, 547, 1118, 27179, 5061, 3323, 269, 769, 476, 1960, 279, 4791, 8062, 585, 4039, 27833, 543, 23111, 604, 1663, 1312, 5061, 602, 3077, 14798, 8290, 616, 3323, 543, 513, 1032, 2663, 538, 476, 1960, 279, 519, 1079, 5061, 616, 4847, 585, 9042, 538, 1312, 2342, 543, 519, 2136, 2276, 269, 769, 476, 1960, 280, 972, 568, 606, 5920, 540, 835, 7646, 518, 8833, 540, 519, 3644, 269, 901, 8833, 670, 280, 301, 273, 568, 711, 14686, 543, 1346, 7783, 538, 3624, 543, 15173, 15158, 9156, 563, 1103, 476, 1220, 274, 670, 276, 301, 272, 31272, 8986, 1586, 543, 3468, 338, 513, 7008, 540, 1004, 538, 15173, 15158, 269, 898, 729, 4362, 602, 519, 1079, 1185, 8120, 689, 3643, 689, 3624, 269, 589, 1007, 8833, 849, 5526, 670, 278, 301, 278, 799, 3123, 835, 2669, 543, 476, 3199, 2665, 540, 5563, 269, 13536, 593, 538, 602, 1032, 670, 280, 301, 273, 3468, 338, 513, 1126, 945, 2663, 973, 13569, 269, 589, 6177, 2770, 12176, 538, 16738, 568, 3162, 9705, 543, 15990, 568, 4080, 5009, 513, 7372, 26718, 540, 7783, 16738, 563, 1103, 476, 1220, 275, 670, 276, 301, 272, 759, 584, 325, 3166, 1586, 543, 7783, 543, 11318, 930, 476, 3953, 1004, 538, 17289, 543, 10476, 269, 23582, 16738, 538, 17289, 267, 10476, 267, 3567, 267, 3162, 9705, 267, 9031, 267, 25591, 267, 12868, 267, 3162, 3624, 267, 543, 17111, 616, 849, 7783, 543, 13604, 1793, 4381, 1229, 267, 589, 1007, 8833, 540, 6177, 2770, 670, 278, 301, 273, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5862, 936, 513, 22754, 609, 513, 8720, 540, 3043, 28778, 267, 669, 29354, 609, 19542, 543, 530, 21317, 1055, 1282, 513, 1376, 267, 20866, 952, 649, 946, 32649, 6494, 513, 4605, 786, 581, 5786, 12001, 19037, 563, 268, 594, 899, 1766, 894, 609, 1350, 30769, 1107, 649, 899, 6037, 1075, 1890, 543, 6106, 540, 19542, 616, 606, 32219, 4099, 585, 513, 5098, 540, 3134, 31906, 1275, 563, 268, 31153, 676, 513, 26627, 25958, 8720, 950, 521, 641, 6853, 8761, 513, 8720, 7766, 543, 8591, 21052, 543, 4806, 563, 268, 621, 4412, 22055, 640, 547, 513, 2259, 593, 29473, 2424, 1107, 513, 3355, 29685, 568, 930, 2173, 648, 3811, 982, 513, 2034, 630, 553, 649, 6785, 621, 1131, 581, 264, 1107, 513, 29473, 7672, 21425, 543, 513, 29473, 6984, 21425, 616, 930, 2173, 648, 17077, 569, 513, 1007, 2048, 27273, 1106, 8730, 1498, 649, 1265, 513, 2034, 29685, 930, 2173, 648, 4277, 563, 268, 594, 899, 602, 649, 723, 1121, 1228, 513, 23109, 538, 513, 28200, 883, 513, 6587, 1106, 543, 5916, 513, 1007, 2239, 563, 301, 28692, 5254, 292, 4916, 11123, 5990, 6789, 306, 22218, 16774, 454, 296, 8910, 899, 547, 4473, 476, 274, 12400, 1498, 993, 711, 1978, 602, 649, 723, 942, 585, 782, 1614, 912, 268, 901, 2034, 29685, 689, 2259, 476, 272, 269, 275, 593, 729, 6062, 1957, 1107, 15186, 1100, 8273, 982, 589, 273, 1107, 2094, 15725, 32649, 6494, 547, 6494, 513, 524, 9233, 269, 649, 1131, 991, 547, 798, 930, 6901, 593, 15725, 1350, 30769, 593, 9133, 540, 32649, 6494, 593, 729, 6062, 1101, 269, 1656, 649, 2015, 649, 991, 547, 4444, 930, 729, 6062, 1957, 543, 27229, 930, 2173, 648, 695, 20810, 21297, 585, 4483, 269, 589, 27421, 1107, 649, 1223, 540, 15292, 4473, 29685, 476, 272, 593, 9133, 540, 513, 524, 9233, 269, 12344, 602, 568, 930, 2173, 648, 2502, 982, 8806, 2699, 21749, 1100, 476, 273, 888, 268, 634, 3109, 543, 3043, 29685, 689, 2259, 476, 272, 269, 274, 1107, 15186, 593, 589, 272, 267, 21401, 7047, 16466, 1107, 798, 930, 6901, 15725, 3109, 543, 3043, 3819, 4099, 585, 513, 22754, 1101, 269, 649, 1810, 1406, 991, 547, 4444, 4376, 585, 713, 543, 1223, 798, 5612, 563, 268, 14301, 1100, 476, 1724, 689, 2259, 476, 272, 269, 272, 15725, 9096, 543, 3043, 15262, 1107, 593, 589, 272, 21401, 609, 1201, 514, 880, 32432, 543, 575, 612, 334, 269, 649, 1810, 1406, 1745, 649, 991, 798, 1022, 3341, 585, 713, 1107, 513, 2907, 1044, 2944, 2336, 20684, 2707, 281, 4179, 2517, 338, 639, 11446, 651, 342, 9526, 532, 269, 5320, 12304, 2593, 270, 0, 763, 1480, 3750, 12851, 547, 513, 2489, 1895, 540, 4064, 1336, 538, 2470, 1572, 8254, 15178, 4064, 1175, 607, 513, 8254, 7828, 6212, 1769, 5196, 4670, 267, 513, 2497, 538, 519, 3750, 269, 6452, 7951, 566, 540, 519, 3750, 4016, 547, 519, 957, 540, 28772, 10999, 14577, 26543, 7828, 2609, 547, 7369, 519, 31659, 1379, 543, 3142, 3615, 602, 616, 6251, 547, 519, 3750, 883, 269, 1215, 1281, 519, 1480, 3750, 960, 713, 476, 274, 1673, 7317, 2203, 7710, 835, 540, 519, 1034, 1950, 6191, 538, 2470, 563, 14549, 3750, 14169, 12544, 3460, 998, 519, 14169, 540, 519, 3750, 547, 1174, 875, 1114, 3889, 538, 519, 3750, 4252, 960, 1927, 547, 3035, 5075, 269, 634, 1480, 3750, 2497, 543, 1599, 524, 569, 1372, 530, 1195, 3122, 519, 6280, 540, 620, 16342, 693, 2840, 2719, 5069, 5609, 21516, 27498, 267, 4532, 1892, 21101, 647, 837, 1633, 267, 21346, 11637, 563, 2005, 568, 2352, 547, 5635, 6571, 540, 519, 1480, 3750, 609, 3059, 8254, 6571, 1317, 519, 2035, 616, 1114, 952, 596, 1185, 547, 4584, 513, 1297, 267, 596, 1223, 2161, 563, 763, 1480, 3750, 568, 606, 1418, 799, 23465, 547, 1769, 543, 2604, 607, 513, 2631, 1418, 267, 519, 27899, 3750, 2636, 5075, 1480, 4064, 948, 547, 1683, 513, 1614, 563, 14549, 3750, 281, 1480, 3750, 267, 7463, 2631, 1418, 538, 3425, 602, 568, 5827, 540, 8391, 3308, 2592, 267, 799, 616, 20794, 539, 547, 519, 2634, 563, 12812, 593, 1585, 2694, 540, 938, 1480, 3750, 14745, 585, 11673, 540, 519, 3750, 14169, 1224, 606, 2376, 827, 875, 5075, 1568, 269, 476, 272, 519, 1480, 3750, 543, 5075, 3040, 1492, 2497, 540, 519, 3750, 1107, 597, 529, 1107, 322, 11448, 320, 1107, 331, 839, 3040, 325, 1371, 532, 1107, 322, 11448, 320, 1107, 659, 5570, 617, 566, 3040, 1492, 22100, 563, 763, 1480, 3750, 568, 606, 5863, 1418, 1357, 30113, 6941, 875, 621, 1568, 269, 901, 4199, 2882, 11673, 267, 3252, 267, 543, 2042, 540, 519, 2101, 3889, 540, 519, 1480, 3750, 281, 31792, 10216, 267, 31894, 267, 32640, 267, 7828, 267, 5672, 3121, 267, 22100, 267, 23726, 8229, 563, 16158, 30113, 781, 4064, 14169, 3817, 1683, 513, 2143, 4605, 543, 4214, 540, 519, 1480, 4064, 1451, 827, 741, 1599, 543, 2042, 602, 666, 1860, 519, 4064, 269, 1280, 513, 1480, 3750, 609, 5140, 1035, 8462, 267, 519, 5021, 7811, 6571, 568, 476, 2004, 524, 335, 323, 630, 1321, 9095, 2381, 1393, 829, 1899, 6292, 267, 610, 513, 476, 271, 3374, 6515, 1899, 6292, 267, 693, 476, 272, 544, 269, 0, 295, 4353, 5061, 630, 656, 790, 339, 22201, 12637, 5061, 1070, 2356, 1614, 610, 811, 3144, 1927, 267, 666, 3247, 7486, 689, 10063, 1424, 267, 7794, 519, 4761, 1062, 267, 543, 3976, 1118, 1004, 1447, 11630, 547, 3968, 267, 855, 519, 5061, 3112, 267, 609, 4686, 17756, 267, 9004, 7486, 267, 799, 26251, 538, 606, 29680, 1106, 563, 297, 2794, 909, 9745, 30346, 599, 267, 1546, 523, 534, 282, 2637, 31899, 267, 17555, 12756, 282, 1284, 1170, 267, 28120, 589, 269, 630, 1220, 278, 1040, 968, 14549, 16332, 32759, 5164, 4926, 6100, 769, 2098, 3089, 9007, 267, 589, 4471, 808, 5919, 1696, 620, 269, 14362, 543, 2259, 540, 4791, 19274, 14347, 630, 277, 628, 1196, 12175, 20122, 7505, 267, 715, 12282, 12727, 25067, 269, 533, 269, 476, 3445, 276, 269, 9768, 476, 7818, 268, 271, 268, 30420, 268, 276, 1704, 4200, 268, 275, 563, 303, 2313, 6837, 543, 519, 6519, 5600, 547, 4410, 519, 16999, 2009, 3210, 547, 519, 15435, 538, 519, 1106, 540, 4628, 14102, 1857, 1072, 3292, 267, 607, 1134, 607, 1455, 2631, 3609, 3435, 971, 607, 3102, 3023, 2069, 543, 861, 16206, 270, 928, 539, 548, 5385, 563, 2691, 519, 4761, 1062, 568, 8697, 2614, 602, 1713, 2309, 2065, 5563, 2253, 547, 1020, 267, 519, 1268, 568, 2808, 547, 723, 15978, 269, 1280, 13178, 5301, 538, 519, 2136, 2276, 267, 513, 7131, 275, 266, 570, 16052, 1293, 1447, 982, 476, 1220, 270, 382, 369, 299, 568, 849, 1031, 607, 513, 2268, 547, 13209, 15978, 267, 4352, 930, 2309, 2065, 5563, 1020, 950, 7131, 275, 266, 570, 16052, 12523, 616, 2362, 982, 476, 1220, 270, 382, 369, 299, 267, 543, 930, 1004, 609, 7131, 275, 12523, 896, 476, 1220, 270, 382, 369, 299, 949, 2611, 5266, 2635, 563, 306, 920, 2287, 540, 1973, 543, 8219, 281, 28298, 676, 1973, 13816, 4288, 568, 1869, 20716, 2009, 538, 519, 2475, 1317, 17193, 2164, 949, 581, 7301, 24308, 1282, 2038, 3968, 269, 17497, 267, 9584, 1973, 585, 17193, 543, 533, 2190, 18970, 568, 32486, 538, 519, 2475, 543, 4440, 2417, 6971, 1981, 540, 6771, 269, 11485, 568, 4389, 2417, 676, 6998, 1004, 609, 1981, 2188, 585, 7486, 3968, 267, 1256, 1346, 609, 2487, 2942, 7486, 17193, 1449, 2164, 267, 711, 547, 24946, 1973, 610, 8219, 585, 24328, 269, 634, 15111, 814, 9783, 8908, 5583, 585, 1219, 518, 1537, 540, 1973, 21856, 267, 1519, 1219, 518, 1537, 585, 476, 1321, 4779, 1310, 519, 1034, 2487, 4638, 3346, 585, 2367, 945, 723, 1185, 3023, 609, 1776, 812, 543, 585, 2021, 945, 723, 1185, 3023, 609, 513, 812, 945, 814, 1185, 3023, 609, 1776, 812, 630, 5408, 4860, 2213, 32505, 585, 26805, 519, 11485, 540, 7486, 28298, 676, 10552, 543, 10552, 15733, 1040, 1717, 267, 946, 540, 6213, 7486, 9584, 4255, 543, 1219, 518, 1537, 540, 22881, 540, 8219, 267, 1973, 267, 543, 1973, 2472, 723, 711, 1044, 8045, 9846, 538, 3384, 2477, 563, 30535, 609, 3735, 22533, 15978, 949, 1020, 29518, 657, 328, 779, 32646, 19265, 630, 16775, 1070, 513, 2960, 10510, 602, 5097, 5540, 28305, 2367, 269, 23794, 568, 519, 1034, 1455, 15978, 5829, 30279, 3599, 269, 898, 568, 6353, 676, 26070, 1790, 584, 921, 1025, 582, 2583, 610, 15649, 630, 321, 3497, 880, 538, 1004, 609, 4158, 2960, 264, 593, 519, 2960, 610, 538, 519, 5023, 269, 6168, 476, 2412, 260, 540, 2550, 609, 23794, 1020, 2589, 538, 519, 9667, 8778, 610, 9641, 269, 23794, 949, 581, 3361, 676, 513, 15601, 3644, 6438, 16770, 10299, 2068, 8665, 2864, 982, 7486, 563, 10303, 1480, 6375, 32759, 3644, 630, 295, 4353, 264, 3968, 568, 1651, 9092, 267, 7303, 7486, 6771, 568, 14063, 269, 22452, 547, 7486, 666, 2049, 676, 829, 12827, 10389, 267, 29935, 9245, 610, 1875, 10784, 716, 2960, 4598, 547, 7783, 1973, 610, 1560, 12862, 269, 898, 666, 849, 2049, 676, 4638, 3346, 267, 8194, 610, 13549, 4687, 269, 5403, 1410, 17068, 605, 29091, 9471, 630, 303, 7968, 264, 568, 835, 1505, 540, 7303, 7486, 6771, 269, 623, 7968, 568, 519, 11865, 540, 1884, 790, 339, 22201, 12637, 3797, 630, 11286, 264, 547, 7486, 24308, 7606, 6534, 547, 7783, 2326, 269, 898, 1058, 581, 15091, 602, 623, 7968, 1058, 711, 5372, 3044, 3968, 1852, 3800, 543, 8965, 2853, 602, 1655, 2061, 7486, 4598, 563, 297, 2794, 909, 9745, 20568, 31179, 267, 2494, 10773, 661, 267, 18708, 631, 630, 1220, 276, 1040, 20568, 267, 808, 1014, 623, 532, 267, 1196, 269, 968, 15463, 4472, 11955, 585, 8156, 7486, 3968, 543, 15978, 6100, 3213, 577, 8735, 18482, 5204, 560, 4860, 630, 274, 2567, 7131, 19740, 280, 4391, 269, 8222, 281, 1015, 269, 1911, 273, 270, 16409, 276, 1240, 6812, 5861, 291, 19740, 280, 4391, 4877, 889, 273, 269, 20163, 476, 8182, 4097, 280, 1704, 563, 9128, 293, 17614, 5508, 7486, 10396, 594, 12613, 7419, 292, 20219, 23727, 281, 7486, 3568, 1896, 5946, 281, 575, 335, 476, 6344, 3940, 1472, 621, 543, 10194, 10717, 543, 533, 2190, 3940, 3330, 269, 634, 575, 335, 476, 6344, 5946, 8936, 547, 7131, 275, 266, 13364, 540, 570, 9726, 14231, 282, 7486, 13788, 519, 1591, 543, 2306, 10194, 5027, 282, 519, 20665, 3984, 1591, 7472, 1007, 8290, 602, 5229, 267, 799, 6861, 519, 3984, 1591, 779, 9245, 267, 4929, 10408, 2669, 543, 3850, 519, 3644, 547, 4734, 547, 4323, 824, 7131, 275, 266, 9726, 22889, 2281, 563, 288, 476, 3953, 4458, 6040, 3043, 28305, 812, 729, 7620, 2938, 538, 5239, 476, 2735, 276, 609, 20286, 540, 513, 15319, 11563, 269, 589, 11563, 2528, 729, 2942, 267, 543, 646, 729, 5701, 10835, 5597, 269, 1261, 1185, 1044, 538, 3622, 1434, 1072, 269, 1261, 1185, 1185, 6391, 585, 513, 6439, 531, 31329, 3121, 543, 20178, 6950, 538, 476, 2735, 272, 2676, 295, 4353, 1034, 1419, 19082, 998, 796, 31695, 3023, 609, 606, 7783, 1268, 269, 898, 949, 849, 3262, 676, 4687, 3075, 19271, 610, 998, 3346, 609, 519, 1973, 540, 606, 7783, 1268, 269, 6468, 666, 2285, 621, 547, 741, 9002, 1282, 6379, 610, 27638, 563, 534, 10262, 512, 1513, 531, 6794, 282, 589, 4811, 2620, 829, 821, 531, 8229, 1303, 1905, 618, 693, 18751, 21721, 7933, 832, 531, 5657, 517, 822, 7781, 4745, 267, 1813, 547, 19231, 540, 21721, 21053, 604, 2716, 542, 630, 324, 3052, 269, 9395, 25192, 282, 20744, 25192, 1070, 610, 2199, 2571, 2389, 22568, 8194, 630, 324, 3052, 269, 24725, 512, 1513, 531, 608, 739, 4680, 5148, 6353, 676, 970, 16428, 26390, 529, 1279, 639, 8467, 267, 24725, 3723, 16948, 17561, 543, 31018, 540, 1101, 954, 5471, 520, 1513, 531, 2230, 630, 22131, 2402, 666, 581, 13251, 676, 2620, 829, 821, 531, 8229, 25576, 15664, 607, 22613, 519, 18751, 2460, 540, 519, 21721, 4745, 267, 610, 676, 21721, 4745, 2030, 541, 325, 2716, 542, 15029, 8195, 21053, 604, 2716, 532, 19462, 994, 288, 10680, 568, 606, 4359, 3942, 540, 7486, 3968, 269, 5221, 519, 7131, 275, 2281, 538, 519, 4761, 1062, 723, 1044, 7361, 10032, 267, 1004, 609, 15978, 1419, 1020, 2589, 543, 4191, 540, 8966, 5563, 610, 11871, 269, 1879, 513, 1268, 609, 7486, 3968, 4991, 835, 540, 891, 5563, 610, 11871, 267, 621, 568, 5219, 547, 607, 606, 968, 288, 10680, 12413, 1456, 2783, 1848, 6201, 540, 15978, 12413, 1456, 2175, 616, 7396, 538, 7305, 476, 272, 269, 31056, 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 ]
[ 941, 7318, 538, 8863, 302, 543, 645, 268, 569, 332, 874, 5448, 2281, 585, 519, 2702, 547, 19334, 16606, 689, 3077, 9842, 332, 1749, 5627, 717, 3201, 275, 6284, 4609, 25318, 540, 606, 20722, 21552, 610, 9597, 710, 7882, 776, 10510, 3644, 3260, 518, 269, 630, 11047, 3820, 994, 268, 589, 3844, 2243, 538, 519, 2361, 568, 875, 798, 3260, 518, 10391, 1437, 1807, 5946, 630, 716, 643, 2209, 264, 5968, 609, 519, 2489, 16606, 12227, 547, 12954, 16606, 286, 630, 572, 541, 956, 3273, 1513, 14492, 994, 268, 1284, 723, 8854, 593, 547, 8495, 1946, 930, 6089, 6084, 712, 23402, 1591, 3515, 11593, 2769, 6673, 268, 273, 24556, 267, 6466, 1866, 798, 711, 267, 543, 1397, 602, 519, 9938, 2711, 3260, 518, 22791, 4489, 547, 6567, 24374, 264, 568, 1114, 6053, 3742, 538, 519, 1079, 1591, 4307, 8040, 269, 630, 1636, 1633, 12304, 2593, 994, 268, 667, 301, 848, 11640, 532, 3366, 547, 519, 8446, 540, 1614, 1975, 272, 270, 8967, 274, 1532, 4193, 4609, 1369, 713, 3148, 267, 1079, 540, 799, 616, 11613, 2838, 1312, 585, 3260, 518, 1599, 543, 1591, 15178, 10391, 2534, 269, 630, 1636, 1633, 12304, 2593, 994, 268, 5015, 267, 2810, 1975, 274, 2157, 538, 6673, 268, 273, 24556, 7721, 335, 7675, 2281, 3366, 547, 519, 1065, 1833, 540, 6673, 268, 273, 24556, 3260, 518, 2534, 267, 3226, 950, 1975, 274, 7409, 7480, 1599, 729, 12366, 1242, 998, 2040, 1195, 3175, 269, 630, 1636, 1633, 12304, 2593, 994, 268, 2368, 595, 308, 311, 272, 568, 334, 13257, 1599, 607, 13973, 1308, 1437, 2209, 610, 1065, 816, 832, 267, 4470, 593, 3260, 518, 2796, 269, 630, 32508, 326, 650, 28022, 994, 268, 634, 3077, 5311, 540, 24789, 7851, 1369, 519, 476, 4097, 1532, 335, 3148, 11196, 15686, 547, 910, 10436, 264, 540, 519, 7193, 2793, 5444, 3260, 518, 267, 1256, 1498, 621, 26218, 24789, 3940, 1532, 4193, 4609, 269, 630, 338, 323, 2548, 1467, 3820, 994, 268, 1452, 2164, 2303, 602, 519, 3260, 518, 3148, 568, 18374, 6190, 585, 4082, 540, 519, 7193, 2793, 5444, 543, 602, 519, 1753, 617, 558, 664, 3940, 11006, 3148, 3252, 607, 513, 3623, 27247, 950, 8731, 810, 568, 15181, 28341, 641, 1227, 630, 312, 600, 698, 1276, 328, 267, 476, 1960, 276, 320, 1040, 630, 338, 323, 2548, 1467, 3820, 994, 268, 634, 476, 1015, 1532, 335, 5311, 689, 7158, 910, 11011, 547, 910, 1911, 267, 1898, 585, 1950, 5250, 609, 667, 3918, 293, 630, 291, 3918, 1532, 4193, 3815, 1070, 568, 849, 1898, 585, 11852, 540, 519, 3260, 518, 538, 31796, 2281, 269, 630, 338, 323, 2548, 1467, 3820, 994, 268, 769, 1098, 28193, 6901, 519, 7193, 2793, 5444, 3260, 518, 4667, 547, 1599, 538, 513, 6073, 4830, 540, 1591, 4783, 11144, 610, 540, 3252, 540, 519, 5569, 5444, 630, 312, 600, 698, 1276, 328, 267, 476, 1960, 276, 322, 1040, 630, 338, 323, 2548, 1467, 3820, 994, 268, 661, 273, 293, 543, 667, 303, 5946, 28111, 543, 12622, 547, 519, 1761, 661, 273, 293, 4609, 538, 519, 7193, 2793, 3260, 518, 538, 20117, 269, 630, 338, 323, 2548, 1467, 3820, 994, 268, 7756, 18687, 540, 11118, 25570, 570, 2281, 547, 7131, 4817, 630, 293, 553, 12458, 17763, 268, 272, 264, 14270, 663, 24975, 1591, 2669, 1310, 11852, 538, 20117, 8957, 538, 24155, 269, 630, 329, 9404, 684, 565, 3820, 994, 268, 3794, 1075, 665, 20294, 6950, 3895, 513, 8946, 273, 22270, 710, 3210, 676, 7131, 275, 266, 570, 2281, 538, 20117, 269, 630, 329, 9404, 684, 565, 3820, 994, 268, 4400, 1673, 846, 14889, 268, 273, 543, 14889, 268, 1428, 3986, 519, 538, 20117, 2215, 532, 540, 14255, 633, 7131, 275, 266, 570, 2281, 585, 17692, 301, 3766, 10397, 855, 723, 11186, 2360, 593, 2215, 532, 585, 14889, 268, 275, 269, 630, 329, 9404, 684, 565, 3820, 994, 268, 7131, 7597, 729, 1101, 4330, 607, 519, 11852, 18970, 6829, 593, 2067, 20740, 630, 301, 298, 264, 2281, 543, 570, 9726, 14231, 2390, 538, 20117, 14242, 609, 17727, 4157, 514, 630, 6579, 9984, 273, 630, 299, 534, 1512, 1696, 620, 269, 630, 338, 1440, 5424, 2593, 994, 268, 5637, 23838, 941, 3254, 547, 581, 2838, 585, 13973, 1308, 11852, 538, 606, 538, 20117, 16606, 1062, 896, 1808, 2175, 630, 476, 273, 2073, 476, 274, 2073, 476, 1704, 2073, 476, 3953, 15426, 630, 11047, 3820, 994, 268, 589, 1808, 5872, 538, 20117, 1063, 25524, 1990, 2096, 4094, 11491, 2737, 543, 11919, 17011, 281, 14242, 676, 717, 3491, 12888, 1437, 2209, 855, 711, 676, 6970, 273, 266, 269, 630, 745, 12304, 3820, 994, 268, 589, 14984, 267, 1591, 12656, 1889, 762, 267, 543, 1808, 1437, 1807, 540, 519, 5385, 3940, 15181, 676, 28023, 589, 6573, 630, 7968, 3722, 264, 1496, 10193, 1572, 524, 21283, 3766, 10224, 710, 30859, 7721, 4219, 2188, 630, 322, 21283, 8566, 9128, 13580, 538, 20117, 543, 538, 24155, 1547, 630, 655, 323, 17524, 760, 648, 2593, 994, 268, 2755, 711, 2838, 547, 1489, 21828, 16606, 538, 20117, 2073, 519, 11632, 291, 568, 2565, 585, 519, 3210, 547, 1437, 1807, 6786, 538, 24155, 476, 2073, 476, 1547, 630, 2889, 548, 330, 732, 6983, 345, 994, 268, 1717, 267, 938, 590, 20370, 7304, 2793, 11006, 6901, 267, 1312, 538, 20117, 609, 21921, 5364, 3940, 543, 538, 31796, 2281, 609, 9842, 13232, 7721, 335, 5962, 3940, 543, 10717, 267, 1705, 711, 7866, 513, 1808, 5872, 1063, 590, 20370, 543, 590, 6938, 269, 630, 16330, 5112, 12975, 994, 268, 1677, 3561, 519, 23506, 543, 519, 7271, 540, 15632, 540, 513, 3209, 1362, 4083, 2101, 1277, 24899, 6312, 2225, 1950, 630, 300, 18449, 264, 18970, 676, 5378, 8328, 2208, 2188, 538, 1480, 8544, 26067, 2096, 531, 6565, 2281, 630, 5960, 12336, 264, 9450, 538, 20117, 585, 6037, 1049, 3156, 269, 630, 342, 13704, 2593, 994, 268, 1325, 527, 4958, 3626, 514, 29620, 519, 2208, 540, 29518, 657, 328, 781, 32646, 19265, 630, 16775, 264, 2281, 538, 20117, 1547, 630, 323, 2607, 23810, 28022, 994, 268, 3371, 649, 2263, 513, 3209, 1935, 547, 5778, 339, 13116, 3815, 2861, 3797, 676, 4702, 13058, 9416, 3940, 16606, 2188, 630, 313, 17025, 570, 22661, 264, 602, 19334, 519, 4082, 540, 519, 1439, 18100, 1350, 658, 1591, 1899, 23402, 5778, 339, 13116, 3815, 630, 31270, 22143, 264, 5444, 269, 630, 329, 928, 1755, 338, 857, 3820, 994, 268, 1677, 2743, 519, 3747, 267, 32541, 2281, 8415, 13973, 1308, 12227, 16030, 19421, 540, 5946, 602, 5431, 543, 20006, 10717, 10282, 689, 3260, 619, 543, 602, 10038, 519, 4398, 540, 16606, 1210, 5215, 540, 7463, 16606, 2188, 269, 630, 11047, 3820, 994, 268, 590, 7932, 9431, 3693, 11006, 5946, 630, 306, 3918, 289, 11679, 264, 543, 829, 2135, 529, 727, 7139, 11717, 1807, 15181, 3146, 1061, 832, 630, 13048, 2752, 338, 264, 616, 1079, 1883, 9067, 8328, 16606, 2188, 26582, 538, 519, 1646, 540, 9761, 6797, 538, 23931, 543, 1875, 17038, 4022, 545, 2848, 6737, 515, 6312, 4345, 269, 630, 30113, 7032, 2593, 994, 268, 769, 1840, 547, 891, 16606, 2188, 267, 1437, 1807, 3940, 268, 272, 949, 849, 581, 15181, 538, 14817, 14231, 1813, 547, 922, 7681, 609, 6571, 540, 2799, 681, 5308, 269, 630, 30113, 7032, 2593, 994, 268, 1284, 723, 2919, 29508, 602, 6895, 519, 10198, 540, 2489, 16606, 2188, 5196, 519, 5027, 10959, 538, 3210, 547, 606, 1437, 1807, 269, 630, 572, 541, 956, 3273, 1513, 14492, 994, 268, 634, 1437, 1807, 3940, 268, 273, 630, 4338, 268, 273, 264, 1920, 540, 5027, 1532, 4193, 16606, 2188, 616, 1646, 958, 14931, 543, 849, 1404, 513, 1909, 538, 1480, 683, 6955, 14901, 269, 630, 1636, 1633, 12304, 2593, 994, 268, 20506, 10391, 623, 9143, 272, 289, 32280, 849, 14014, 1996, 1164, 19339, 2732, 14001, 1439, 32194, 1427, 545, 4918, 2566, 3210, 538, 24155, 267, 607, 23576, 676, 8519, 8485, 800, 3175, 540, 533, 4343, 31778, 298, 267, 808, 301, 298, 267, 25783, 298, 267, 543, 552, 9281, 273, 10382, 543, 2539, 4082, 540, 519, 16606, 2188, 595, 27582, 21990, 4630, 27881, 3940, 543, 521, 2364, 539, 2473, 4216, 1532, 4193, 3940, 476, 272, 269, 630, 335, 889, 4364, 25218, 4754, 3385, 28022, 994, 268, 3220, 269, 13605, 557, 340, 781, 8047, 2090, 519, 7939, 540, 16606, 538, 27899, 2281, 543, 267, 538, 1880, 267, 519, 5107, 540, 16606, 2188, 538, 5027, 3441, 6114, 269, 630, 32508, 326, 650, 28022, 994, 268, 595, 308, 311, 272, 3690, 5524, 11790, 281, 3245, 4437, 12950, 11242, 543, 8426, 15369, 2667, 904, 547, 31040, 17738, 543, 5274, 15302, 269, 630, 32508, 326, 650, 28022, 994, 268, 476, 280, 476, 1015, 4014, 513, 1297, 540, 16606, 2188, 723, 1044, 9678, 602, 616, 6829, 538, 519, 2295, 267, 476, 1556, 476, 1321, 9039, 540, 891, 814, 1044, 3254, 547, 581, 13487, 1808, 269, 630, 1695, 1690, 712, 11594, 3820, 994, 268, 13698, 311, 268, 276, 267, 849, 1634, 607, 645, 16052, 10391, 1437, 1807, 3940, 630, 7034, 4338, 1070, 568, 513, 16606, 3815, 799, 4249, 513, 4105, 1909, 538, 645, 16052, 1646, 267, 11852, 267, 543, 15285, 269, 630, 335, 1886, 987, 2593, 994, 268, 1358, 616, 2219, 547, 12954, 1591, 18735, 543, 16401, 12363, 15285, 540, 1808, 1591, 2010, 1282, 25782, 1646, 269, 630, 342, 7364, 3820, 994, 268, 631, 20706, 538, 713, 5444, 1267, 538, 1313, 23865, 8789, 4077, 6794, 267, 11021, 602, 713, 5444, 3252, 538, 519, 15285, 540, 8849, 30160, 1591, 16755, 269, 630, 342, 7364, 3820, 994, 268, 2904, 1404, 606, 1271, 1909, 538, 645, 16052, 15285, 607, 1134, 607, 8849, 1646, 543, 521, 704, 3901, 14003, 269, 630, 29582, 600, 2593, 994, 268, 5890, 5962, 693, 2038, 645, 16052, 15285, 267, 538, 519, 3384, 595, 10064, 543, 538, 2937, 1449, 529, 269, 630, 29582, 600, 2593, 994, 268, 476, 1001, 272, 269, 634, 700, 277, 6389, 15067, 6652, 3966, 514, 570, 332, 275, 338, 325, 275, 21560, 25012, 18558, 15285, 543, 9859, 1591, 9194, 269, 630, 1097, 339, 18929, 13987, 2593, 994, 268, 1439, 268, 272, 568, 519, 9998, 6829, 1439, 25866, 10391, 5444, 1634, 538, 595, 269, 1605, 7540, 543, 5526, 547, 20006, 519, 1982, 540, 5444, 4082, 2838, 585, 1439, 25866, 15285, 267, 1519, 513, 22107, 1228, 540, 717, 25353, 2188, 2838, 585, 1646, 543, 5826, 540, 519, 16892, 269, 630, 335, 19063, 3820, 994, 268, 6145, 519, 1634, 9451, 24260, 1439, 25866, 22124, 17186, 518, 543, 1924, 343, 1704, 267, 13673, 291, 268, 272, 568, 513, 14984, 1437, 1807, 540, 1439, 25866, 15285, 538, 9678, 2473, 523, 22455, 28341, 25866, 269, 630, 335, 19063, 3820, 994, 268, 5047, 267, 513, 8789, 7409, 7480, 717, 25353, 1532, 4193, 12760, 3940, 705, 5766, 919, 1439, 25866, 15285, 538, 16856, 24201, 269, 630, 335, 19063, 3820, 994, 268, 717, 25353, 5946, 616, 1883, 22124, 540, 5444, 4082, 543, 1591, 15285, 538, 513, 2647, 2039, 540, 2249, 269, 630, 335, 19063, 3820, 994, 268, 634, 570, 1532, 2135, 5444, 12098, 307, 20324, 7806, 270, 311, 4861, 328, 12458, 660, 760, 1712, 534, 568, 1098, 8282, 544, 15715, 958, 267, 6829, 538, 8544, 754, 25866, 531, 24888, 2281, 267, 543, 2838, 585, 1439, 25866, 15285, 630, 476, 2641, 910, 476, 1839, 15426, 630, 335, 19063, 3820, 994, 268, 769, 1840, 267, 621, 814, 1044, 6700, 602, 519, 3940, 949, 1404, 513, 1909, 538, 10775, 25593, 1979, 14003, 543, 538, 519, 15632, 540, 24869, 1355, 1591, 15285, 269, 630, 2102, 1815, 1841, 3820, 994, 268, 1284, 14353, 602, 589, 313, 293, 949, 7520, 15285, 540, 2215, 867, 658, 10351, 2281, 883, 521, 704, 3901, 690, 11102, 6565, 2281, 610, 3310, 519, 22038, 540, 891, 6565, 2281, 267, 799, 538, 3339, 9038, 13720, 1614, 4244, 535, 919, 281, 18735, 267, 23979, 267, 610, 15285, 269, 630, 572, 541, 956, 3273, 1513, 14492, 994, 268, 28611, 267, 6673, 268, 272, 4082, 568, 23644, 543, 18657, 919, 15632, 540, 7131, 1556, 322, 538, 3210, 547, 1808, 15285, 6786, 630, 476, 1691, 15426, 630, 320, 659, 337, 30394, 11594, 3820, 994, 268, 769, 667, 4592, 32166, 519, 8990, 540, 4337, 1400, 1167, 2281, 568, 15748, 1282, 11616, 14003, 855, 12363, 15285, 1281, 711, 2253, 2394, 519, 7782, 531, 3942, 630, 516, 1613, 539, 676, 595, 522, 1156, 476, 1960, 274, 15426, 630, 2102, 7497, 3820, 994, 268, 2274, 8123, 332, 14003, 568, 2693, 547, 1267, 267, 693, 2547, 538, 851, 267, 689, 519, 2702, 540, 29706, 269, 272, 547, 3625, 22980, 628, 5514, 15285, 15469, 676, 717, 25353, 13001, 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 ]
[ 3441, 610, 1256, 2669, 563, 23763, 547, 917, 827, 519, 2126, 540, 23971, 4345, 888, 4263, 667, 7394, 2657, 543, 25682, 267, 649, 723, 7189, 540, 29956, 3676, 602, 666, 948, 596, 4383, 707, 2783, 269, 1280, 811, 1344, 267, 596, 666, 3643, 721, 693, 476, 9692, 278, 16381, 7219, 22971, 267, 27201, 267, 1715, 3840, 267, 476, 12208, 1321, 267, 610, 1289, 721, 693, 476, 272, 268, 31003, 268, 29575, 268, 6321, 280, 271, 269, 1411, 666, 849, 3643, 938, 3896, 693, 4179, 2517, 323, 7394, 327, 342, 3820, 610, 3346, 721, 693, 4757, 11333, 2593, 952, 596, 723, 1022, 14511, 269, 0, 288, 476, 1708, 272, 1867, 3370, 676, 519, 12080, 540, 4065, 1336, 602, 3379, 547, 824, 2477, 267, 1715, 10215, 1185, 513, 2484, 2362, 8167, 540, 1053, 8989, 1373, 4749, 13032, 1221, 269, 476, 3607, 260, 540, 5729, 476, 276, 1053, 267, 543, 476, 4343, 260, 540, 5729, 476, 280, 1053, 267, 4080, 602, 789, 941, 1373, 13032, 1221, 593, 513, 10865, 4493, 563, 3383, 267, 689, 513, 3656, 5133, 267, 1018, 568, 11648, 286, 1548, 616, 519, 2048, 22131, 2402, 540, 513, 1966, 685, 602, 3506, 1058, 1413, 856, 585, 286, 1656, 1018, 616, 513, 1153, 779, 3656, 13800, 952, 621, 11392, 513, 1867, 540, 11648, 267, 610, 31268, 972, 568, 513, 1966, 888, 1432, 568, 11648, 267, 543, 1018, 568, 711, 888, 31624, 2391, 568, 7368, 543, 11389, 32208, 7180, 9859, 2509, 513, 1268, 610, 513, 1895, 540, 1004, 602, 666, 1291, 547, 2168, 610, 5626, 2800, 563, 3080, 11325, 13685, 540, 8671, 16531, 610, 1202, 27383, 798, 711, 13822, 11648, 269, 26681, 798, 606, 16108, 779, 3527, 538, 4259, 10257, 6788, 610, 2502, 538, 9758, 2773, 2359, 269, 15901, 730, 7180, 568, 10770, 543, 666, 4125, 513, 2039, 540, 3527, 936, 942, 267, 1247, 2048, 684, 516, 32208, 685, 7180, 666, 1331, 6408, 2358, 267, 1208, 8270, 908, 267, 25254, 267, 610, 17116, 513, 1268, 269, 589, 2582, 10071, 540, 11389, 32208, 7180, 568, 3622, 711, 2808, 11648, 267, 855, 1223, 15583, 622, 543, 865, 1058, 711, 581, 16053, 563, 21618, 540, 513, 1966, 281, 1548, 547, 4585, 585, 454, 2467, 616, 513, 1297, 540, 10832, 540, 513, 11648, 1966, 799, 3506, 1058, 581, 10332, 585, 563, 20751, 519, 9036, 267, 891, 1331, 5234, 20286, 267, 15534, 2465, 1143, 267, 20494, 341, 1734, 267, 2152, 1373, 6659, 538, 14827, 11042, 267, 1164, 3928, 540, 29997, 725, 610, 24826, 267, 543, 15534, 2465, 1143, 563, 10743, 1373, 13032, 1221, 1522, 8858, 4160, 610, 2258, 18356, 827, 1153, 267, 4250, 540, 862, 5024, 547, 1153, 630, 10175, 6998, 547, 581, 9141, 610, 4657, 11507, 1070, 513, 7771, 538, 1153, 1740, 2164, 267, 4947, 1753, 17237, 610, 609, 28378, 8697, 610, 7508, 267, 2348, 20015, 2478, 267, 11912, 543, 29565, 2583, 602, 789, 666, 1406, 2491, 267, 4742, 22347, 1170, 633, 610, 32585, 609, 824, 1453, 267, 610, 27109, 4160, 610, 13347, 1644, 547, 2780, 610, 5985, 6049, 946, 563, 1103, 10072, 267, 891, 19326, 949, 9305, 547, 824, 2152, 267, 855, 15921, 592, 8271, 789, 616, 513, 1434, 13525, 540, 513, 11648, 1966, 563, 2252, 513, 1153, 630, 553, 606, 16108, 264, 14543, 547, 4308, 609, 2152, 538, 519, 9036, 267, 713, 1223, 1291, 547, 3656, 15668, 267, 1519, 31989, 896, 519, 2657, 543, 8881, 693, 4518, 2920, 267, 610, 811, 4122, 267, 513, 2123, 20494, 9330, 3409, 4547, 676, 4299, 5520, 563, 288, 1153, 779, 4295, 3656, 13800, 607, 606, 16108, 616, 547, 4383, 543, 2061, 519, 4220, 602, 11648, 13514, 547, 519, 1072, 543, 3106, 540, 5234, 267, 2226, 7694, 3347, 543, 1521, 5234, 538, 1434, 5132, 267, 676, 16495, 540, 519, 2657, 543, 8881, 693, 4518, 2920, 476, 1001, 276, 543, 25477, 9534, 2920, 476, 1220, 271, 563, 1103, 2165, 540, 3656, 13800, 547, 1053, 267, 519, 4065, 543, 9751, 2920, 476, 1708, 271, 5036, 2048, 27146, 776, 6859, 685, 585, 1153, 12545, 269, 31999, 569, 267, 12545, 1590, 2327, 602, 519, 1153, 568, 513, 9308, 543, 14156, 2922, 1747, 585, 782, 1053, 543, 5234, 282, 543, 1491, 782, 10257, 3268, 547, 9004, 10168, 267, 16663, 267, 11648, 543, 1022, 824, 3029, 540, 7130, 1369, 519, 1153, 563, 14188, 596, 547, 7981, 21835, 17214, 548, 710, 8316, 7719, 2421, 3752, 545, 3218, 8621, 880, 17664, 773, 585, 8600, 713, 2376, 269, 1280, 1022, 2055, 593, 713, 1641, 267, 5225, 3346, 513, 4759, 540, 938, 4065, 4521, 12243, 563, 11514, 25068, 281, 519, 1543, 540, 713, 2376, 568, 2489, 538, 2470, 543, 711, 5497, 607, 513, 12990, 585, 1808, 3318, 5796, 593, 1022, 2339, 543, 1058, 711, 581, 16941, 2390, 585, 602, 3483, 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 ]
[ 1082, 2188, 7700, 547, 713, 1966, 267, 1519, 4719, 32739, 267, 25161, 6197, 267, 543, 14432, 2732, 267, 2566, 666, 849, 1404, 513, 1713, 1909, 538, 2597, 2744, 543, 8377, 269, 769, 713, 3184, 267, 649, 786, 2263, 875, 2247, 23073, 4915, 4485, 899, 1346, 6026, 693, 519, 645, 21672, 6953, 523, 787, 4659, 585, 9650, 10610, 6925, 630, 289, 26980, 264, 693, 12590, 4937, 11233, 630, 300, 21203, 264, 666, 948, 2043, 4383, 2566, 543, 2569, 741, 1981, 540, 3384, 8377, 780, 20058, 267, 621, 568, 1271, 547, 1174, 1018, 2566, 568, 543, 875, 621, 5222, 938, 4703, 269, 13262, 568, 513, 2067, 3210, 547, 9228, 6937, 610, 2591, 267, 799, 12153, 519, 5305, 540, 10399, 971, 607, 19076, 13824, 543, 23280, 269, 1452, 10399, 5965, 519, 1560, 585, 2962, 676, 2810, 2295, 2557, 267, 1973, 2604, 267, 543, 1648, 2157, 269, 1717, 267, 950, 2566, 3587, 5312, 267, 12675, 4598, 547, 891, 10399, 666, 723, 17672, 2360, 593, 2168, 543, 2790, 1072, 269, 18127, 2566, 814, 1044, 5532, 547, 6553, 267, 7378, 4187, 267, 543, 7988, 28832, 540, 14031, 10399, 971, 607, 575, 327, 516, 4802, 543, 682, 696, 514, 267, 3056, 547, 2799, 1426, 6981, 543, 2597, 2744, 780, 3080, 1259, 547, 8396, 519, 2942, 2360, 540, 2566, 593, 2597, 7939, 568, 998, 519, 2259, 540, 11005, 2553, 269, 2311, 519, 645, 26980, 267, 2550, 1451, 547, 29360, 519, 4039, 1314, 566, 15863, 267, 513, 1533, 540, 2620, 1964, 6353, 676, 8519, 10307, 267, 2295, 2557, 267, 7929, 2557, 267, 543, 5135, 4616, 269, 1635, 1802, 1424, 713, 12214, 1533, 5781, 267, 2043, 666, 4831, 25270, 519, 5739, 2360, 540, 2566, 593, 741, 4703, 543, 8186, 269, 2290, 1353, 1336, 602, 5171, 945, 13736, 11005, 2553, 4810, 4389, 23280, 2157, 267, 4824, 7099, 267, 543, 8519, 1608, 7595, 6981, 3379, 547, 513, 1852, 1895, 780, 5194, 1935, 547, 5883, 2566, 543, 7303, 8377, 568, 2679, 6043, 269, 26504, 4016, 547, 519, 2702, 547, 3082, 543, 11883, 3927, 609, 14488, 267, 8194, 267, 610, 2566, 269, 15706, 609, 1164, 2157, 540, 6043, 4043, 547, 723, 1732, 4093, 538, 2474, 540, 2790, 543, 2168, 1072, 267, 1519, 2539, 3928, 540, 4965, 267, 4160, 267, 543, 8377, 269, 4980, 22899, 6043, 3322, 3384, 1983, 971, 607, 1582, 18221, 267, 3929, 7939, 267, 5042, 8112, 267, 543, 1514, 1489, 269, 2311, 519, 645, 26980, 267, 2550, 1451, 2994, 585, 7393, 741, 6043, 998, 11009, 9066, 267, 5042, 15515, 24173, 3797, 267, 543, 2318, 6530, 7459, 780, 2467, 568, 3395, 2963, 5885, 519, 946, 540, 2247, 23073, 4915, 7459, 585, 5009, 2597, 2530, 543, 5826, 269, 1280, 1383, 267, 513, 19747, 6417, 4693, 1336, 602, 2550, 945, 4607, 11009, 2861, 4189, 4656, 2866, 1185, 3152, 20214, 538, 1560, 2527, 4994, 630, 289, 11085, 1070, 22765, 18592, 267, 543, 28675, 4189, 2623, 3379, 547, 513, 1852, 1895, 269, 6271, 1353, 7152, 602, 10649, 2259, 729, 2404, 609, 9283, 538, 1560, 5888, 267, 7280, 10892, 267, 543, 20188, 12632, 538, 14968, 543, 17324, 2043, 780, 1103, 1840, 547, 1367, 7400, 7459, 267, 5466, 519, 6626, 8739, 10276, 16652, 21876, 540, 8377, 568, 2629, 585, 8236, 2551, 7400, 1689, 269, 11790, 971, 607, 1426, 22584, 267, 3668, 540, 1569, 547, 2635, 3536, 267, 543, 3908, 3255, 585, 2168, 2534, 3565, 3648, 547, 519, 1646, 543, 18094, 540, 8377, 269, 5398, 3609, 7341, 6322, 693, 5355, 6484, 543, 2168, 2534, 5054, 267, 971, 607, 3454, 532, 4006, 1606, 11548, 2989, 16098, 267, 7598, 10624, 21458, 4031, 267, 543, 9750, 6288, 5624, 267, 666, 1711, 2175, 602, 3895, 8902, 5079, 543, 2569, 13103, 538, 8377, 9860, 780, 1103, 3932, 267, 519, 8377, 15435, 13514, 1713, 2591, 547, 1857, 1072, 267, 8506, 15491, 3435, 602, 2232, 1312, 1367, 7400, 5615, 543, 2825, 8658, 269, 9650, 23073, 4915, 4485, 899, 1346, 6035, 693, 519, 645, 26980, 1683, 3407, 2645, 585, 5883, 2566, 543, 4227, 519, 1981, 540, 8377, 269, 8490, 6043, 267, 14237, 13533, 4656, 267, 543, 8026, 11005, 2553, 666, 948, 2043, 6330, 519, 1950, 4205, 1851, 5626, 267, 6211, 267, 543, 6848, 2188, 12018, 2597, 7939, 269, 3958, 267, 14223, 3646, 5059, 593, 2870, 11215, 4507, 543, 5054, 666, 7520, 12581, 1569, 547, 2200, 543, 3255, 585, 6099, 1072, 269, 3414, 7471, 543, 3102, 2994, 267, 649, 666, 4126, 547, 9258, 519, 20352, 540, 519, 8377, 15435, 543, 2087, 2949, 8171, 585, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 645, 21672, 6953, 523, 787, 4659, 585, 9650, 10610, 6925, 630, 289, 26980, 264, 693, 12590, 4937, 11233, 11414, 2550, 2081, 547, 25559, 2566, 543, 1628, 30840, 676, 19310, 1746, 519, 4039, 1314, 566, 15863, 269, 645, 26980, 568, 6131, 547, 1382, 267, 3450, 543, 4791, 3498, 540, 9650, 10610, 6925, 543, 922, 5610, 883, 782, 2127, 540, 1072, 24707, 15080, 454, 305, 25917, 6348, 30929, 267, 631, 6185, 269, 6192, 1200, 32031, 538, 2618, 17226, 543, 513, 31776, 538, 829, 514, 7614, 543, 10285, 2618, 17226, 693, 12590, 4937, 11233, 630, 300, 21203, 1040, 17497, 267, 1352, 568, 513, 5234, 31897, 609, 519, 3131, 514, 7614, 543, 3115, 8793, 24741, 11916, 3194, 5358, 693, 631, 21203, 269, 2701, 568, 849, 519, 9375, 2987, 268, 27815, 540, 519, 3292, 3896, 693, 530, 558, 839, 11365, 8234, 3820, 269, 3220, 269, 6348, 30929, 262, 960, 814, 1044, 3370, 538, 513, 1297, 540, 3621, 13746, 543, 2835, 538, 519, 1858, 540, 2021, 779, 2790, 1072, 269, 2701, 568, 519, 2278, 540, 589, 1546, 4177, 1744, 1228, 540, 9791, 281, 589, 19716, 779, 6651, 547, 20876, 543, 6164, 532, 12870, 538, 4173, 4132, 321, 8960, 13012, 630, 8245, 517, 1299, 5576, 13831, 1040, 8698, 15080, 454, 28274, 519, 12200, 543, 556, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 31178, 1299, 32362, 1315, 2657, 5516, 12983, 1315, 25667, 20615, 2438, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 476, 273, 269, 275, 12005, 932, 1173, 525, 692, 5970, 596, 2479, 6743, 693, 3054, 538, 513, 11604, 543, 9289, 1018, 729, 2731, 8345, 286, 12984, 972, 1776, 4528, 540, 596, 3297, 519, 4837, 267, 610, 729, 621, 1175, 606, 21903, 286, 769, 713, 3296, 267, 649, 3580, 2263, 513, 2147, 7613, 538, 5201, 543, 11275, 1143, 1107, 3239, 10997, 256, 1284, 3580, 1451, 875, 547, 5173, 891, 968, 724, 739, 569, 892, 10997, 543, 1294, 875, 789, 666, 948, 721, 1174, 930, 9583, 12357, 2623, 540, 3167, 4610, 780, 1262, 1432, 3657, 12005, 932, 1173, 525, 15140, 15862, 10997, 616, 5691, 10997, 602, 2408, 950, 513, 1483, 5279, 568, 5116, 2282, 513, 18364, 269, 1452, 5691, 10997, 3100, 547, 1402, 909, 607, 18759, 540, 519, 1483, 5279, 267, 855, 1810, 1406, 5855, 1107, 1100, 4890, 5918, 6473, 4386, 256, 5502, 267, 519, 4527, 540, 519, 7404, 18364, 1253, 2176, 519, 3167, 2361, 3515, 865, 1454, 602, 621, 5654, 899, 972, 568, 606, 3606, 5279, 1459, 269, 1635, 8156, 519, 10630, 5279, 607, 513, 5094, 11769, 630, 1492, 3239, 5279, 1070, 649, 666, 14458, 938, 9273, 3648, 780, 5331, 596, 723, 513, 1448, 5279, 1341, 304, 4092, 1657, 606, 12808, 16135, 10647, 7077, 269, 1411, 1522, 1589, 602, 519, 3167, 2361, 2630, 519, 7077, 1058, 581, 4642, 1317, 26423, 2141, 2119, 547, 22599, 856, 1022, 3167, 4610, 3330, 873, 269, 1717, 267, 1813, 547, 519, 19944, 8462, 3361, 676, 519, 6727, 1689, 689, 2011, 547, 4496, 267, 519, 3167, 2361, 3085, 1406, 3274, 642, 4314, 282, 3079, 267, 621, 4991, 2699, 20526, 2059, 519, 2627, 540, 519, 18364, 269, 901, 2699, 3925, 5932, 606, 7805, 2034, 5279, 267, 799, 649, 1289, 519, 3239, 5279, 11196, 304, 30670, 2047, 9944, 519, 3312, 5279, 267, 607, 3254, 538, 7612, 476, 272, 780, 256, 314, 8201, 476, 272, 281, 8672, 5279, 1657, 606, 12808, 16135, 10647, 7077, 28488, 10059, 2517, 328, 269, 19112, 584, 2593, 32434, 295, 277, 300, 313, 308, 322, 26666, 994, 265, 8201, 476, 272, 281, 8672, 5279, 1657, 606, 12808, 16135, 10647, 7077, 22177, 3086, 1934, 2501, 519, 3579, 851, 281, 1256, 1498, 972, 568, 1152, 835, 2168, 5279, 3238, 22791, 304, 1070, 649, 666, 5659, 922, 1198, 1210, 1312, 519, 1483, 5279, 543, 922, 3239, 5279, 269, 4595, 26423, 723, 3586, 6453, 2429, 741, 9703, 267, 649, 917, 602, 519, 3167, 1761, 1590, 581, 519, 1482, 10876, 1369, 519, 18364, 269, 4475, 267, 519, 2040, 540, 519, 7418, 689, 519, 1483, 5279, 543, 922, 3239, 5279, 693, 1022, 1448, 2059, 519, 1535, 14289, 630, 10964, 578, 519, 7077, 264, 786, 581, 3160, 547, 519, 1761, 2813, 9003, 676, 519, 1483, 5279, 693, 519, 7222, 4463, 1657, 519, 7077, 269, 7527, 1227, 6340, 267, 713, 2078, 666, 581, 6829, 607, 5205, 1384, 395, 499, 9418, 3287, 267, 271, 264, 815, 6543, 499, 9418, 3287, 28504, 264, 1341, 6543, 499, 13548, 3287, 28504, 2020, 3602, 546, 568, 519, 3845, 1063, 519, 1483, 5279, 543, 519, 10647, 7077, 267, 543, 6543, 499, 4564, 519, 3167, 1761, 1813, 547, 1142, 5279, 14350, 780, 3528, 6061, 585, 519, 7164, 3239, 5279, 2990, 543, 4222, 267, 649, 666, 7494, 14458, 2042, 5473, 9901, 26423, 543, 824, 1950, 22762, 1845, 269, 1809, 1354, 11362, 883, 1346, 3156, 267, 1577, 781, 1101, 4983, 875, 547, 3313, 519, 3239, 5279, 3294, 780, 1262, 15612, 908, 12005, 932, 1173, 525, 4373, 2414, 1265, 519, 4087, 543, 9588, 540, 606, 3239, 5279, 267, 1246, 891, 3268, 1384, 272, 269, 10576, 519, 1826, 540, 10465, 2783, 281, 1772, 519, 18364, 16135, 630, 14706, 24311, 264, 610, 1202, 4327, 630, 6247, 656, 5279, 21663, 1280, 16134, 267, 649, 1445, 593, 16135, 26423, 538, 713, 3296, 563, 273, 269, 14419, 519, 1129, 540, 519, 3239, 5279, 1759, 593, 15340, 7440, 281, 1403, 519, 2016, 5279, 568, 2318, 267, 1747, 513, 2942, 3239, 5279, 267, 543, 13030, 17930, 563, 274, 269, 5590, 909, 519, 3830, 11341, 519, 1483, 5279, 543, 922, 3239, 5279, 676, 1226, 908, 519, 3167, 1761, 693, 1079, 2798, 2059, 519, 7852, 13902, 547, 519, 18364, 269, 2422, 519, 6240, 540, 3586, 6453, 1369, 513, 18364, 547, 2327, 1312, 5011, 540, 519, 3830, 616, 3160, 563, 275, 269, 16534, 585, 519, 7164, 4632, 630, 6570, 543, 5924, 4222, 264, 540, 519, 3239, 5279, 780, 4131, 781, 4019, 891, 3268, 547, 519, 1966, 5018, 4505, 281, 4466, 519, 3239, 5279, 585, 513, 2582, 1448, 5279, 1657, 606, 12808, 16135, 10647, 7077, 780, 3721, 476, 272, 814, 2907, 1044, 9619, 2094, 519, 18364, 568, 10924, 547, 581, 16135, 780, 2690, 5153, 476, 273, 267, 11291, 602, 6587, 10997, 4482, 269, 1773, 5217, 513, 2942, 5279, 2630, 519, 2318, 1483, 5279, 5849, 602, 519, 2121, 3196, 9117, 593, 1863, 9211, 1369, 519, 18364, 3788, 10694, 267, 3976, 8497, 11466, 2175, 780, 3721, 476, 274, 3322, 4259, 909, 519, 3830, 11341, 519, 1483, 5279, 543, 922, 3239, 5279, 269, 31962, 602, 519, 3167, 1761, 1813, 547, 513, 1448, 5279, 1627, 693, 513, 3845, 678, 568, 2016, 676, 1384, 395, 499, 16868, 264, 815, 737, 304, 1315, 678, 692, 3602, 737, 568, 595, 9567, 4861, 781, 3586, 630, 32191, 476, 279, 269, 4200, 6398, 476, 1015, 317, 280, 715, 544, 317, 273, 14727, 317, 273, 1040, 16792, 713, 4542, 547, 938, 3510, 267, 649, 1205, 1384, 395, 499, 9418, 3287, 267, 271, 264, 815, 737, 304, 1315, 21762, 3287, 317, 273, 1341, 554, 317, 273, 994, 395, 499, 9418, 3287, 28504, 264, 815, 737, 304, 1315, 21762, 9230, 343, 1673, 8203, 273, 1341, 554, 317, 273, 994, 395, 499, 13548, 3287, 28504, 264, 815, 910, 330, 304, 262, 1315, 21762, 3287, 317, 273, 1341, 630, 323, 266, 327, 262, 8203, 273, 2020, 2080, 267, 554, 18575, 519, 7299, 3845, 1063, 519, 1483, 5279, 543, 519, 18364, 267, 1247, 554, 262, 4564, 519, 7299, 3845, 1063, 519, 3239, 5279, 543, 519, 18364, 269, 17553, 891 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29729, 7207, 269, 3171, 520, 1005, 1164, 2666, 24999, 267, 7347, 20022, 1949, 267, 5679, 984, 2421, 18646, 267, 543, 14463, 4070, 2326, 267, 891, 6191, 5512, 26348, 547, 29906, 4101, 1768, 23230, 1107, 8151, 689, 18574, 10092, 543, 4104, 18162, 547, 22586, 7823, 10596, 543, 5070, 546, 17480, 269, 30027, 3585, 267, 7045, 21891, 16783, 609, 9431, 4170, 585, 4155, 946, 267, 1818, 873, 11684, 1032, 15778, 862, 26407, 269, 3502, 26312, 1806, 1331, 519, 22720, 310, 674, 25616, 14899, 267, 26232, 21036, 14210, 699, 476, 10384, 267, 543, 918, 26774, 476, 278, 3445, 23874, 681, 780, 25821, 16359, 31260, 281, 7169, 1944, 5565, 8862, 31856, 539, 18815, 454, 32458, 19030, 4415, 2810, 4145, 827, 2916, 1689, 267, 2011, 5533, 267, 543, 8093, 4492, 22930, 267, 3167, 5179, 31260, 723, 7153, 607, 14323, 8925, 547, 2757, 4835, 13674, 2599, 630, 21201, 264, 13413, 269, 11272, 4073, 1068, 23230, 2709, 3875, 5383, 267, 1519, 4642, 2766, 335, 6559, 5434, 267, 4389, 6846, 5533, 267, 2539, 5665, 3790, 267, 543, 16866, 5826, 13467, 269, 1306, 6007, 4066, 4434, 267, 865, 1281, 519, 2039, 543, 2773, 1761, 540, 3167, 5179, 31260, 269, 4858, 2738, 899, 20023, 16359, 31260, 267, 2037, 1120, 3821, 267, 8752, 940, 16359, 31260, 267, 543, 4498, 2917, 5937, 822, 1749, 517, 14970, 310, 790, 1291, 519, 5279, 2509, 18546, 2305, 609, 5499, 6272, 543, 8903, 1587, 17008, 780, 6962, 281, 16871, 519, 16844, 540, 7073, 16359, 19464, 454, 32458, 692, 1607, 1770, 814, 25139, 519, 3638, 13795, 540, 27576, 1374, 543, 10342, 2066, 1585, 12415, 269, 3245, 5929, 2267, 23924, 547, 13777, 22618, 3167, 21891, 267, 972, 6818, 513, 3501, 3684, 585, 1169, 14971, 31115, 267, 7488, 540, 1367, 16919, 267, 7375, 267, 610, 5497, 6165, 7653, 269, 4197, 519, 16082, 1063, 1114, 2010, 540, 5179, 31260, 2636, 17053, 18046, 543, 12439, 7567, 547, 1118, 5483, 3664, 950, 8939, 267, 2688, 1944, 267, 610, 3274, 19825, 891, 14952, 748, 905, 1846, 540, 4702, 269, 11086, 267, 2502, 609, 519, 6626, 5179, 19464, 2146, 11942, 23274, 267, 8994, 2463, 267, 543, 3838, 15131, 585, 938, 7104, 6612, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9596, 6168, 519, 4521, 454, 7476, 948, 609, 707, 3656, 2115, 454, 8340, 25187, 779, 6258, 6168, 519, 4521, 2934, 5215, 540, 21141, 4930, 547, 948, 596, 1174, 707, 3681, 269, 1656, 952, 596, 2461, 4712, 547, 16926, 606, 18607, 267, 1265, 835, 538, 707, 1858, 945, 666, 948, 563, 763, 18027, 8008, 4041, 267, 1773, 5593, 858, 543, 29594, 550, 267, 642, 269, 6276, 14731, 744, 262, 300, 3201, 4041, 312, 267, 4347, 754, 656, 543, 2561, 749, 656, 563, 9377, 754, 656, 6276, 14731, 744, 262, 300, 531, 2917, 729, 26722, 693, 4693, 540, 1614, 12523, 540, 1101, 4110, 12638, 630, 303, 523, 5861, 1712, 267, 19926, 476, 6942, 267, 1016, 323, 269, 630, 320, 24270, 272, 835, 1293, 540, 24242, 547, 3479, 12638, 630, 31086, 476, 9264, 269, 272, 1070, 543, 835, 1293, 540, 3775, 25053, 630, 31086, 31086, 476, 21076, 267, 476, 18891, 269, 276, 267, 1016, 323, 269, 630, 321, 26895, 634, 21139, 4203, 26860, 24769, 540, 513, 2034, 5279, 540, 24242, 547, 3479, 12638, 269, 634, 21139, 849, 1336, 3020, 2027, 6381, 10246, 3101, 12638, 585, 2883, 2744, 267, 2789, 12638, 267, 543, 3775, 25053, 12638, 269, 630, 31086, 476, 5002, 269, 273, 267, 1016, 323, 269, 630, 320, 7565, 272, 1070, 630, 274, 1070, 630, 1704, 7565, 288, 1040, 264, 3958, 267, 519, 21139, 1336, 3020, 31482, 602, 24769, 13948, 1031, 513, 3595, 1301, 543, 513, 14686, 543, 5906, 14049, 538, 519, 10243, 540, 519, 1055, 5151, 269, 630, 845, 518, 19926, 31086, 476, 6344, 2420, 267, 1016, 323, 269, 630, 321, 1070, 476, 6344, 2420, 269, 276, 267, 1016, 323, 269, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15650, 540, 16359, 31260, 257, 607, 851, 540, 834, 15045, 3198, 9915, 18306, 9569, 1315, 16359, 31260, 1315, 4937, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1523, 540, 31832, 20108, 2621, 538, 15705, 8613, 2982, 543, 875, 789, 12969, 609, 519, 1158, 540, 7900, 6575, 269, 1284, 786, 2263, 875, 891, 31832, 810, 951, 616, 2966, 267, 13401, 267, 543, 4607, 676, 9458, 1247, 6313, 741, 1764, 593, 9423, 267, 1915, 1646, 267, 543, 5304, 6278, 269, 3958, 267, 649, 786, 1865, 519, 1909, 602, 1514, 2923, 4249, 538, 5009, 891, 2621, 543, 2502, 11655, 780, 2414, 2253, 267, 1577, 721, 5581, 1018, 13054, 513, 31832, 20108, 2680, 538, 519, 2796, 540, 15705, 8613, 2982, 269, 589, 31832, 20108, 2680, 4386, 950, 1079, 610, 811, 3982, 6386, 610, 3197, 689, 5094, 8613, 3126, 27721, 538, 513, 2582, 12558, 610, 1650, 1467, 269, 901, 666, 1491, 1082, 3029, 267, 971, 607, 513, 16823, 5920, 676, 513, 1915, 689, 1776, 1397, 267, 513, 3838, 7122, 1141, 2789, 2984, 30598, 267, 610, 1256, 513, 2407, 1532, 31500, 31832, 20108, 1295, 529, 7685, 17364, 1896, 14501, 269, 595, 4592, 20108, 2621, 723, 1831, 5051, 2442, 538, 2487, 1296, 267, 3226, 538, 519, 7706, 540, 15705, 8613, 2982, 269, 634, 1488, 992, 2091, 267, 799, 2882, 519, 9823, 22383, 2861, 2982, 1488, 992, 267, 634, 18044, 267, 6181, 1742, 540, 8751, 6563, 267, 543, 8111, 326, 20071, 267, 568, 5310, 519, 1034, 7986, 1383, 540, 3811, 31832, 20108, 2621, 538, 2413, 8613, 269, 1452, 31832, 810, 951, 2709, 2189, 3255, 585, 15888, 547, 4228, 2390, 3964, 6386, 267, 15052, 1915, 3347, 267, 543, 4482, 1007, 13588, 780, 763, 10167, 1063, 31832, 20108, 2621, 543, 519, 7900, 6575, 6013, 5097, 538, 519, 2504, 2418, 2838, 547, 14892, 873, 6707, 269, 27400, 6575, 7854, 1585, 10459, 267, 1519, 9117, 267, 13465, 267, 15472, 267, 543, 15747, 2773, 269, 1879, 2870, 513, 31832, 20108, 2680, 267, 5830, 1590, 5402, 2015, 875, 1655, 547, 6451, 891, 3309, 2609, 883, 741, 6386, 1510, 27531, 15364, 610, 1825, 341, 1464, 269, 1280, 3236, 267, 952, 513, 22256, 689, 835, 1397, 5526, 607, 513, 16823, 5182, 593, 1776, 267, 621, 949, 581, 2556, 547, 4188, 519, 7574, 2511, 610, 9135, 547, 13918, 1312, 5641, 338, 262, 5578, 5036, 269, 6684, 267, 25287, 2762, 543, 588, 1645, 1590, 2272, 585, 1022, 3604, 538, 8165, 6163, 610, 5759, 1851, 519, 10283, 3197, 269, 1635, 16042, 31832, 20108, 2621, 607, 513, 1106, 540, 7900, 1148, 267, 12696, 666, 1711, 15138, 2833, 602, 4497, 9458, 2066, 2789, 5867, 780, 3080, 8037, 1383, 540, 513, 31832, 20108, 2680, 602, 16900, 20762, 7900, 6575, 543, 15705, 8613, 729, 519, 5993, 19822, 593, 3047, 29930, 31832, 20108, 2680, 1369, 519, 1488, 992, 2091, 269, 1975, 8911, 2185, 15654, 17334, 267, 713, 16529, 23072, 12286, 1804, 8397, 7574, 2338, 267, 6946, 4339, 9696, 267, 543, 14156, 9901, 12644, 689, 922, 27763, 26254, 5641, 269, 3414, 6297, 4058, 543, 11056, 267, 519, 3860, 2319, 3297, 19822, 593, 3047, 29930, 7307, 547, 4739, 513, 8903, 1650, 602, 6949, 730, 609, 1279, 5503, 11655, 543, 13680, 13588, 7567, 269, 5047, 267, 519, 5610, 540, 2575, 543, 7544, 11506, 519, 2949, 2298, 540, 519, 31832, 20108, 267, 13321, 621, 883, 513, 3020, 4715, 12386, 540, 4207, 8613, 780, 1103, 1840, 547, 741, 7499, 26350, 267, 31832, 20108, 2621, 849, 4196, 4052, 5301, 538, 2474, 540, 6725, 543, 13319, 269, 1306, 5018, 4505, 267, 891, 21769, 1419, 2721, 3007, 689, 11655, 540, 1312, 10283, 2982, 267, 5732, 2810, 2070, 11429, 543, 9750, 519, 2949, 10178, 19668, 269, 7913, 543, 1514, 2923, 5867, 1404, 2629, 5107, 538, 14123, 713, 1184, 267, 3850, 12696, 547, 2671, 12600, 3297, 7308, 27214, 25333, 1543, 267, 751, 848, 14232, 4729, 2798, 267, 543, 2170, 2047, 609, 7722, 9458, 269, 5015, 267, 3444, 1790, 668, 10056, 2994, 5512, 5121, 547, 11694, 4598, 585, 782, 3238, 3601, 267, 7551, 6117, 1719, 543, 24736, 585, 2104, 3888, 906, 780, 4913, 267, 22589, 3811, 31832, 20108, 2621, 568, 711, 1510, 2591, 269, 21344, 12721, 3860, 22649, 267, 25640, 1950, 17825, 267, 543, 4509, 11007, 2066, 19635, 6386, 666, 6961, 18447, 4247, 1256, 585, 19023, 4648, 269, 1677, 11574, 891, 2152, 267, 12696, 1058, 3715, 2312, 3515, 540, 2792, 2038, 593, 267, 24152, 6788, 543, 6859, 585, 782, 6105, 3238, 269, 8617, 2638, 15564, 543, 3356, 5359, 666, 948, 2327, 602, 3025, 3788, 13988, 2429, 519, 1646, 543, 2504, 3157, 780, 12234, 267, 11495, 513, 3666, 1063, 10333, 543, 535, 23474, 568, 1898, 950, 13167, 31832, 20108, 2621, 269, 2755, 13267, 547, 30226, 619, 568, 1271, 267, 9813, 908, 6131, 11655, 4220, 14944, 1456, 519, 4295, 9029, 540, 519, 3959, 269, 1160, 3027, 619, 1590, 4061, 3802, 513, 5386, 1899, 1063, 10962, 4195, 2093, 543, 8497, 519, 8699, 540, 3964, 23471, 2478, 269, 2290, 1761, 3070, 3322, 6220, 5432, 2609, 7258, 3209, 3283, 267, 3246, 2614, 2796, 585, 14542, 13588, 1247, 1869, 14785, 1279, 5503, 13794, 609, 4514, 11912, 543, 3330, 8100, 780, 7661, 267, 10442, 519, 1967, 540, 513, 31832, 20108, 2680, 3340, 513, 15491, 1935, 269, 26592, 14573, 267, 971, 607, 16863, 543, 1514, 2923, 24221, 267, 1683, 3407, 4030, 883, 7525, 21200, 543, 3914, 269, 1717, 267, 12007, 10526, 267, 899, 2565, 1035, 8010, 543, 2686, 1764, 267, 1419, 7866, 3476, 3856, 6286, 543, 23543, 269, 1635, 6236, 1312, 5380, 267, 12696, 666, 2744, 513, 11455, 1620, 540, 741, 10781, 543, 2697, 2127, 585, 6454, 538, 2104, 18129, 780, 1103, 3932, 267, 31832, 20108, 2621, 2099, 3078, 3255, 585, 5698, 543, 5647, 1369, 519, 7706, 540, 15705, 8613, 269, 1635, 8508, 519, 3741, 540, 7900, 6575, 543, 16107, 3059, 543, 1514, 2923, 5867, 267, 12696, 666, 1711, 9159, 2984, 602, 16637, 2757, 6302, 543, 13469, 609, 3309, 9458, 269, 6736, 7915, 2591, 267, 7580, 4058, 267, 1930, 2792, 267, 543, 15826, 11056, 666, 1291, 547, 5963, 12300, 2833, 602, 4734, 9434, 5222, 593, 1402, 2528, 543, 7104, 3965, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12507, 1084, 1122, 549, 267, 23093, 326, 528, 3821, 476, 279, 1015, 876, 2676, 302, 19241, 984, 1513, 651, 15148, 18676, 16660, 476, 6344, 630, 14006, 531, 2232, 994, 3849, 3200, 2358, 1299, 11553, 912, 19445, 1299, 4317, 9012, 454, 7246, 10955, 267, 674, 307, 12710, 267, 21598, 6347, 910, 16628, 1299, 674, 10133, 454, 9288, 3960, 334, 521, 641, 3757, 334, 267, 22968, 3318, 267, 13047, 15338, 4084, 543, 13653, 540, 7358, 6242, 267, 918, 15811, 814, 936, 476, 1789, 1296, 540, 1995, 538, 519, 3860, 2872, 269, 918, 15811, 568, 13730, 827, 22968, 267, 519, 5639, 267, 519, 7900, 6575, 543, 2528, 267, 827, 3695, 4763, 543, 12423, 2081, 540, 8744, 1004, 6251, 547, 891, 8748, 1148, 3029, 563, 16391, 6500, 543, 1788, 9614, 540, 3875, 22968, 543, 2575, 2621, 269, 28527, 689, 513, 4282, 540, 22968, 543, 2575, 2069, 267, 21281, 568, 513, 3860, 543, 3818, 1922, 14239, 22459, 5461, 538, 1114, 2575, 11964, 543, 12043, 945, 608, 26118, 538, 3056, 7158, 11319, 3785, 4464, 267, 607, 1134, 607, 2324, 1369, 6887, 563, 303, 3174, 1299, 10029, 454, 4910, 738, 11399, 1304, 730, 543, 3810, 3608, 267, 19257, 329, 3570, 608, 26118, 693, 5883, 519, 2883, 543, 11889, 3344, 540, 3864, 3785, 998, 1200, 960, 609, 22968, 543, 8106, 2575, 2621, 269, 2060, 1039, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 4592, 20108, 15638, 538, 8111, 12516, 7641, 257, 607, 851, 540, 834, 25807, 19489, 300, 5058, 8121, 4811, 1315, 27657, 1315, 2637, 637, 1315, 8111, 12516, 525, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13833, 20046, 13833, 28476, 24893, 3264, 6459, 13833, 3264, 7549, 7846, 11012, 20413, 30324, 18775, 21134, 21660, 476, 272, 269, 278, 396, 494, 10780, 19757, 17221, 9261, 28476, 27188, 4814, 13833, 12811, 9841, 16068, 15671, 13077, 17221, 10948, 23845, 9326, 476, 4344, 30718, 3522, 11012, 27188, 10948, 397, 495, 4344, 21134, 16044, 491, 28821, 17153, 476, 3583, 9077, 15800, 16648, 3378, 14359, 13833, 9924, 13953, 27188, 4814, 13833, 12811, 9841, 16068, 15671, 13077, 17221, 10948, 23845, 9326, 476, 4344, 30718, 3522, 25338, 7846, 9686, 20046, 10780, 3378, 10948, 28821, 21660, 10780, 16417, 9686, 3264, 6459, 3264, 18194, 5284, 379, 7846, 13150, 4138, 9261, 22147, 3378, 910, 476, 273, 269, 6246, 396, 494, 780, 396, 507, 396, 508, 256, 2843, 511, 28821, 476, 1911, 260, 11714, 4736, 3264, 15671, 3378, 476, 274, 16044, 486, 3522, 15671, 3522, 267, 25602, 10780, 30324, 21134, 16068, 13150, 3522, 23783, 21162, 3264, 476, 3066, 15800, 9686, 397, 495, 4344, 21660, 27188, 9261, 12811, 9841, 20732, 23845, 3264, 269, 29112, 16417, 9686, 17221, 13953, 476, 4344, 30718, 30935, 11714, 27799, 9841, 16044, 484, 4138, 7549, 6459, 476, 3953, 16044, 486, 3522, 15671, 3522, 25338, 7846, 9686, 20046, 18194, 3522, 21833, 3264, 20413, 12811, 9841, 20732, 3264, 269, 2843, 499, 4736, 20434, 11012, 10948, 4138, 4344, 28476, 29824, 3378, 13150, 26281, 25602, 23485, 32553, 9261, 20046, 4138, 7549, 26281, 476, 26580, 28314, 9686, 3264, 476, 26580, 16068, 7549, 17201, 3378, 476, 7830, 269, 276, 260, 15800, 20434, 476, 3583, 269, 278, 260, 31128, 4736, 20434, 10780, 3378, 681, 5960, 630, 10948, 397, 495, 4814, 4344, 31128, 15671, 3378, 23970, 20265, 20046, 17095, 3522, 7549, 476, 25000, 9261, 11012, 16044, 491, 28821, 9261, 18194, 13077, 13953, 8563, 21268, 21134, 1040, 2843, 494, 20413, 30324, 18775, 476, 26580, 476, 13077, 4736, 4736, 10948, 4138, 25000, 4709, 21660, 476, 272, 269, 278, 396, 494, 10780, 3378, 13150, 3378, 9326, 4709, 4709, 22147, 3378, 15800, 20434, 2843, 370, 3264, 11012, 16417, 9686, 4709, 3264, 15671, 3378, 476, 4344, 30718, 3522, 269, 2843, 499, 4736, 20434, 476, 25000, 9261, 21660, 10780, 3522, 31589, 267, 476, 4344, 23485, 16044, 486, 3522, 15671, 3522, 476, 4344, 30718, 24893, 7846, 31224, 25338, 17201, 9841, 20732, 3264, 267, 476, 26580, 2073, 476, 9326, 18194, 7846, 9261, 3522, 19628, 2073, 20413, 30324, 18775, 14359, 3264, 10780, 3264, 16417, 15671, 16417, 20046, 31502, 269, 2843, 509, 19757, 10948, 397, 495, 4814, 24012, 27593, 19628, 910, 2843, 363, 476, 25000, 7549, 18194, 7846, 9261, 3522, 19628, 269, 2843, 506, 5284, 370, 21170, 17095, 32648, 3264, 10948, 21170, 15800, 29824, 13833, 21268, 4138, 31224, 267, 14359, 3378, 21660, 4736, 7549, 17201, 9841, 7549, 3378, 10780, 21134, 4709, 19628, 267, 476, 26580, 21660, 25602, 5392, 279, 279, 11714, 9924, 13150, 3522, 8563, 4138, 6459, 20413, 3522, 7549, 4736, 4138, 9261, 7846, 9261, 24893, 26580, 18194, 13077, 13953, 8563, 21268, 18194, 3522, 397, 495, 4344, 267, 25602, 20413, 30324, 18775, 14359, 3264, 17095, 4138, 10528, 3264, 6459, 269, 2843, 498, 3522, 267, 25338, 9924, 6459, 18194, 13833, 17201, 9841, 21170, 476, 4344, 397, 495, 10528, 6459, 9924, 13953, 267, 14359, 3378, 14359, 3264, 25338, 17201, 3264, 3264, 476, 2004, 28314, 13077, 9686, 7846, 4736, 13833, 10780, 25974, 6459, 3264, 476, 736, 268, 1789, 9261, 4138, 4709, 476, 13077, 16648, 30324, 9924, 563, 396, 499, 4736, 20434, 476, 9326, 14359, 3264, 10780, 13077, 8563, 476, 26580, 25338, 7846, 9686, 7846, 476, 13077, 9686, 16068, 16648, 397, 488, 9326, 4736, 4709, 23845, 19628, 780, 14112, 8144, 912, 16655, 476, 1911, 260, 1699, 786, 581, 1152, 476, 274, 3268, 269, 1924, 3328, 1699, 786, 581, 827, 476, 7830, 269, 276, 260, 630, 3240, 2656, 9273, 264, 910, 476, 3583, 269, 278, 260, 630, 305, 5960, 1040, 1280, 3193, 1699, 3970, 693, 476, 273, 269, 6246, 288, 1699, 693, 16509, 1590, 581, 9625, 272, 269, 7367, 910, 476, 272, 269, 278, 288, 563, 296, 1589, 865, 780, 263, 1321, 268, 1015, 268, 1001, 276, 476, 1015, 281, 3393, 6751, 264, 15553, 20364, 654, 4710, 281, 476, 1109, 5575, 594, 786, 2119, 1631, 547, 1205, 519, 8773, 2324, 609, 1312, 5179, 10256, 543, 2890, 4614, 6137, 284, 1626, 563, 10673, 1405, 3314, 1689, 631, 271, 267, 300, 272, 267, 300, 273, 5468, 585, 476, 272, 270, 1626, 910, 8899, 267, 8899, 267, 4400, 454, 1321, 268, 1321, 268, 1001, 276, 267, 476, 5881, 281, 6349, 7537, 454, 8070, 281, 1948, 1626, 454, 918, 558, 311, 16588, 24762, 281, 476, 7176, 11835, 1441, 281, 9947, 476, 1001, 276, 3115, 16615, 281, 476, 272, 454, 3918, 281, 645, 7304, 984, 582, 19010, 309, 6434, 273, 276, 9046, 454, 263, 1321, 268, 1556, 268, 1001, 276, 476, 6021, 281, 5379, 6751, 264, 338, 14505, 15886, 654, 4710, 281, 476, 1109, 396, 507, 396, 508, 256, 2843, 511, 28821, 476, 1911, 260, 11714, 4736, 3264, 15671, 3378, 476, 274, 16044, 486, 3522, 15671, 3522, 267, 25602, 10780, 30324, 21134, 16068, 13150, 3522, 23783, 21162, 3264, 476, 3066, 15800, 9686, 397, 495, 4344, 21660, 27188, 9261, 12811, 9841, 20732, 23845, 3264, 269, 29112, 16417, 9686, 17221, 13953, 476, 4344, 30718, 30935, 11714, 27799, 9841, 16044, 484, 4138, 7549, 6459, 476, 3953, 16044, 486, 3522, 15671, 3522, 25338, 7846, 9686, 20046, 18194, 3522, 21833, 3264, 20413, 12811, 9841, 20732, 3264, 269, 2843, 499, 4736, 20434, 11012, 10948, 4138, 4344, 28476, 29824, 3378, 13150, 26281, 25602, 23485, 32553, 9261, 20046, 4138, 7549, 26281, 476, 26580, 28314, 9686, 3264, 476, 26580, 16068, 7549, 17201, 3378, 476, 7830, 269, 276, 260, 15800, 20434, 476, 3583, 269, 278, 260, 31128, 4736, 20434, 10780, 3378, 681, 5960, 630, 10948, 397, 495, 4814, 4344, 31128, 15671, 3378, 23970, 20265, 20046, 17095, 3522, 7549, 476, 25000, 9261, 11012, 16044, 491, 28821, 9261, 18194, 13077, 13953, 8563, 21268, 21134, 1040, 2843, 494, 20413, 30324, 18775, 476, 26580, 476, 13077, 4736, 4736, 10948, 4138, 25000, 4709, 21660, 476, 272, 269, 278, 396, 494, 10780, 3378, 13150, 3378, 9326, 4709, 4709, 22147, 3378, 15800, 20434, 2843, 370, 3264, 11012, 16417, 9686, 4709, 3264, 15671, 3378, 476, 4344, 30718, 3522, 269, 2843, 499, 4736, 20434, 476, 25000, 9261, 21660, 10780, 3522, 31589, 267, 476, 4344, 23485, 16044, 486, 3522, 15671, 3522, 476, 4344, 30718, 24893, 7846, 31224, 25338, 17201, 9841, 20732, 3264, 267, 476, 26580, 2073, 476, 9326, 18194, 7846, 9261, 3522, 19628, 2073, 20413, 30324, 18775, 14359, 3264, 10780, 3264, 16417, 15671, 16417, 20046, 31502, 269, 2843, 509, 19757, 10948, 397, 495, 4814, 24012, 27593, 19628, 910, 2843, 363, 476, 25000, 7549, 18194, 7846, 9261, 3522, 19628, 269, 2843, 506, 5284, 370, 21170, 17095, 32648, 3264, 10948, 21170, 15800, 29824, 13833, 21268, 4138, 31224, 267, 14359, 3378, 21660, 4736, 7549, 17201, 9841, 7549, 3378, 10780, 21134, 4709, 19628, 267, 476, 26580, 21660, 25602, 5392, 279, 279, 11714, 9924, 13150, 3522, 8563, 4138, 6459, 20413, 3522, 7549, 4736, 4138, 9261, 7846, 9261, 24893, 26580, 18194, 13077, 13953, 8563, 21268, 18194, 3522, 397, 495, 4344, 267, 25602, 20413, 30324, 18775, 14359, 3264, 17095, 4138, 10528, 3264, 6459, 269, 2843, 498, 3522, 267, 25338, 9924, 6459, 18194, 13833, 17201, 9841, 21170, 476, 4344, 397, 495, 10528, 6459, 9924, 13953, 267, 14359, 3378, 14359, 3264, 25338, 17201, 3264, 3264, 476, 2004, 28314, 13077, 9686, 7846, 4736, 13833, 10780, 25974, 6459, 3264, 476, 736, 268, 1789, 9261, 4138, 4709, 476, 13077, 16648, 30324, 9924, 563, 396, 499, 4736, 20434, 476, 9326, 14359, 3264, 10780, 13077, 8563, 476, 26580, 25338, 7846, 9686, 7846, 476, 13077, 9686, 16068, 16648, 397, 488, 9326, 4736, 4709, 23845, 19628, 780, 396, 509, 16417, 9686, 13150, 3522, 8563, 4138, 9261, 11012, 3264, 16648, 3264, 28314, 4138, 10528, 3378, 16021, 28821, 10948, 27799, 24012, 13953, 11012, 6459, 7846, 10948, 3522, 13953, 910, 17095, 21134, 31606, 9686, 9924, 15800, 13194, 8563, 4709, 3264, 14359, 3264, 10780, 3378, 13150, 7846, 10528, 3522, 19628, 4344, 267, 25338, 3522, 20977, 4709, 4736, 476, 4814, 29652, 3378, 25000, 15800, 9686, 3264, 3522, 23783, 21162, 13953, 267, 10780, 25974, 6459, 29391, 17221, 3264, 16044, 486, 3522, 15671, 20413, 30324, 18775, 13833, 10780, 23485, 8563, 397, 495, 6459, 11714, 16068, 9686, 4709, 7846, 15800, 13194, 10780, 21268, 8563, 9924, 17153, 476, 274, 268, 17153, 10780, 5284, 371, 4138, 30530, 13953, 10780, 3378, 476, 25000, 16648, 20434, 20500, 3264, 476, 273, 563, 396, 504, 3522, 7549, 26281, 476, 4344, 30718, 15800, 17095, 3522, 7549, 18194, 17201, 15671, 3378, 25338, 7846, 9686, 20046, 476, 16021, 10948, 9841, 24893, 3264, 16417, 13194, 16068, 16648, 9261, 30324, 7549, 7846, 888, 1321, 268, 1321, 268, 1001, 276, 267, 476, 6021, 281, 6812, 7537, 630, 1607, 2022, 729, 2063, 9168, 281, 476, 1321, 268, 1321, 268, 1001, 276, 476, 1015, 281, 6187, 7537, 676, 521, 14505, 15886, 8094, 8070, 281, 1948, 1704, 454, 521, 14505, 15886, 16588, 24762, 281, 476, 10482, 11835, 1441, 281, 2904, 476, 1001, 276, 3115, 16615, 281, 476, 275, 454, 3918, 281, 645, 7304, 984, 582, 19010, 309, 6434, 273, 276, 9046, 454, 396, 497, 4138, 10528, 3378, 16021, 28821, 10948, 27799, 24012, 11714, 5284, 371, 9261, 5284, 370, 12811, 10780, 3264, 16417, 15671, 16417, 8563, 18194, 8563, 4138, 15671, 3522, 16021, 31124, 267, 14359, 3378, 10780, 13077, 7549, 28821, 10948, 27799, 24012, 11714, 30324, 20413, 3378, 4138, 476, 13077, 4736, 10948, 20046, 9924, 269, 2843, 509, 23485, 18194, 4138, 3522, 9261, 20046, 16417, 17095, 17201, 27799, 3522, 476, 1015, 4736, 9261, 16068, 9686, 4138, 4709, 10780, 17201, 21162, 13953, 16044, 486, 3522, 15671, 18194, 31606, 4709, 22147, 3378, 20413, 3378, 26580, 13077, 476, 271, 269, 271, 4281, 276, 9261, 9261, 267, 25602, 476, 4344, 23485, 20413, 4138, 7549, 4814, 3378, 13150, 3264, 10528, 3522, 476, 271, 269, 23669, 275, 9261, 9261, 269, 2843, 507, 3264, 18194, 7846, 9261, 3522, 19628, 24893, 26580, 476, 4814, 29652, 30324, 21660, 11012, 4344, 17201, 9841, 7549, 3378, 27188, 13150, 26281, 10948, 4138, 8563, 267, 24893, 26580, 11012, 26580, 9326, 21660, 20413, 3264, 13150, 3264, 18194, 8563, 4138, 15671, 3522, 20046, 31502, 11714, 10780, 16417, 9686, 3264, 20977, 17153, 20413, 12811, 9841, 20732, 3264, 18194, 27799, 9326, 4344, 26281, 18194, 17201, 4138, 20413, 4138, 20434, 9261, 20046, 13077, 563, 396, 504, 18775, 3378, 10948, 3264, 28314, 13833, 18775, 9326, 476, 4344, 7846, 4344, 21660, 2843, 375, 19628, 16648, 4138, 16021, 31124, 910, 17095, 26580, 16044, 483, 3378, 10948, 20046, 476, 1911, 260, 28314, 3522, 13077, 4709, 28821, 19628, 267, 476, 26580, 4344, 11012, 25000, 8563, 4138, 4344, 476, 4344, 30718, 11012, 30935, 10528, 3522, 4736, 21134, 267, 27188, 17095, 22147, 3378, 21660, 9686, 3378, 25338, 17201, 9841, 20732, 3264, 11012, 4138, 6459, 9924, 910, 476, 26580, 4344, 20413, 5284, 370, 20046, 15800, 4736, 10528, 17201, 9841, 13194, 13833, 28476, 30935, 8563, 9924, 20732, 12811, 21162, 3264, 23970, 20265, 10948, 23845, 9326, 563, 1862, 8563, 30324, 15800, 20413, 3264, 13150, 3378, 18194, 31124, 27188, 4736, 13833, 21268, 20732, 12811, 13150, 8563, 13833, 3522, 17221, 9326, 17095, 19757, 3522, 910, 834, 1077, 22018, 257, 20413, 3378, 26580, 13077, 15800, 476, 16021, 9261, 10528, 3264, 13077, 4344, 7846, 4814, 21162, 13953, 18194, 19277, 10948, 4138, 7549, 21660, 20413, 30324, 18775, 15800, 270, 4138, 20434, 15800, 13194, 9261, 21268, 23845, 3264, 11012, 16417, 9686, 4709, 3264, 15671, 3378, 476, 4344, 30718, 3522, 21660, 16068, 16648, 9261, 30324, 7549, 7846, 20413, 3378, 26580, 13077, 269, 2843, 511, 26580, 18194, 31124, 28314, 32648, 27569, 4138, 7549, 13833, 15800, 16044, 491, 7549, 13150, 16417, 9261, 3522, 6459, 13833, 267, 17095, 22147, 28027, 14359, 7846, 21833, 21170, 11714, 9924, 21833, 28476, 20413, 3522, 7549, 4736, 4138, 9261, 3522, 23783, 4709, 7846, 19628, 20413, 3378, 27569, 21170, 13150, 9841, 10780, 23485, 20413, 4138, 17221, 9261, 3522, 23783, 4709, 21134, 11714, 27799, 3264, 563, 1321, 268, 1724, 268, 1001, 276, 267, 476, 1015, 281, 3451, 7537, 630, 1607, 2022, 729, 2063, 9168, 281, 476, 1321, 268, 1428, 268, 1001, 276, 476, 5881, 281, 1704, 6751, 676, 521, 14505, 15886, 8094, 8070, 281, 1948, 1240, 454, 521, 14505, 15886, 16588, 24762, 281, 476, 10482, 11835, 1441, 281, 2904, 476, 1001, 276, 3115, 16615, 281, 476, 275, 454, 3918, 281, 645, 7304, 984, 582, 19010, 309, 6434, 273, 276, 9046, 454, 263, 1321, 268, 1015, 268, 1001, 276, 476, 1556, 281, 7906, 7537, 264, 15553, 20364, 654, 4710, 281, 476, 1109, 1432, 851, 540, 519, 17250, 594, 723, 547, 1689, 888, 14112, 5153, 13942, 666, 581, 1966, 1932, 269, 3733, 1743, 341, 6434, 273, 276, 960, 5386, 609, 9625, 272, 639, 5153, 267, 855, 2687, 547, 1179, 338 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13143, 538, 519, 476, 1960, 271, 338, 563, 268, 10609, 268, 6812, 308, 4537, 292, 630, 308, 331, 1276, 338, 1156, 333, 11535, 1744, 10098, 330, 641, 565, 657, 333, 11535, 1401, 1636, 333, 11535, 2495, 1412, 18719, 1386, 267, 22453, 7171, 267, 1401, 1636, 10807, 910, 1007, 2647, 7171, 3343, 518, 538, 1007, 2234, 727, 267, 5497, 585, 2672, 268, 1789, 300, 298, 563, 268, 10609, 268, 6812, 308, 4537, 17395, 910, 4528, 609, 24208, 27634, 585, 4835, 31566, 538, 519, 2672, 330, 14833, 328, 2672, 268, 6872, 267, 1101, 30792, 693, 10790, 16775, 476, 1220, 278, 563, 268, 10609, 268, 6812, 308, 4537, 17395, 263, 9143, 264, 910, 4528, 609, 3773, 9196, 18342, 11158, 3343, 518, 267, 1101, 30792, 693, 10790, 16775, 476, 1001, 276, 563, 5278, 5375, 2959, 723, 5219, 547, 513, 10609, 268, 6812, 288, 602, 568, 2901, 5688, 2213, 585, 17189, 2234, 1513, 610, 814, 606, 3742, 3343, 518, 2212, 585, 946, 607, 606, 4550, 6879, 6235, 23828, 910, 621, 4440, 4564, 1776, 2012, 585, 519, 10609, 268, 6812, 308, 563, 268, 16065, 540, 4750, 540, 18329, 16470, 630, 1220, 275, 1070, 4139, 18329, 22388, 1889, 9778, 18361, 267, 1488, 27700, 5600, 267, 6032, 269, 476, 14983, 1700, 5611, 267, 9768, 476, 7818, 15647, 4962, 274, 279, 7176, 276, 454, 268, 2473, 268, 6812, 292, 267, 570, 716, 673, 7323, 3796, 15278, 808, 17092, 267, 476, 1220, 275, 454, 268, 834, 298, 327, 268, 6812, 630, 3008, 268, 1556, 1412, 298, 559, 614, 10807, 2580, 13191, 781, 5794, 6441, 320, 684, 3481, 1284, 777, 976, 267, 476, 2190, 5239, 476, 1220, 278, 454, 268, 834, 21080, 19651, 3624, 476, 1001, 275, 281, 13698, 298, 6363, 288, 781, 1007, 4550, 268, 2784, 2747, 23828, 1305, 585, 476, 1001, 276, 3126, 2504, 2580, 13191, 781, 4347, 775, 28315, 267, 476, 1724, 5437, 476, 1001, 275, 454, 268, 834, 298, 327, 268, 6812, 308, 4537, 17395, 14640, 7304, 611, 2747, 7323, 850, 2668, 14472, 984, 528, 821, 343, 1636, 563, 268, 10790, 16775, 476, 1001, 276, 281, 918, 20670, 309, 8591, 16843, 3343, 518, 547, 10609, 268, 6812, 308, 4537, 298, 4550, 268, 2784, 2747, 23828, 454, 268, 834, 308, 330, 9627, 910, 5794, 10414, 16811, 2668, 6820, 20376, 12053, 3820, 269, 476, 1001, 275, 269, 8158, 476, 2537, 5147, 476, 1001, 275, 563, 268, 23583, 267, 962, 1030, 574, 630, 1220, 275, 1070, 8168, 24250, 11701, 589, 7878, 1284, 777, 976, 4595, 2622, 2782, 5565, 267, 670, 514, 1188, 2917, 267, 4789, 281, 11068, 1633, 14539, 267, 9768, 476, 272, 268, 5952, 278, 3199, 268, 6642, 268, 272, 454, 268, 16515, 5557, 715, 7564, 337, 341, 7564, 514, 523, 781, 5851, 2457, 910, 3730, 3877, 0, 31568, 543, 519, 2142, 534, 560, 1779, 281, 634, 7464, 9452, 568, 513, 476, 1220, 272, 1977, 8613, 1295, 529, 7685, 20193, 729, 9859, 676, 20574, 670, 21672, 543, 729, 513, 1071, 1790, 3174, 540, 8065, 5658, 30007, 543, 634, 13343, 670, 21672, 7577, 269, 898, 568, 1759, 593, 519, 5929, 2296, 18912, 9661, 10793, 543, 519, 2142, 534, 560, 1779, 7868, 1650, 729, 14320, 556, 1740, 539, 547, 2992, 1018, 670, 21672, 5156, 547, 581, 513, 811, 5683, 267, 1480, 626, 2070, 563, 31568, 729, 513, 575, 1342, 344, 267, 2219, 1652, 7911, 267, 855, 1360, 2186, 13463, 14975, 543, 15754, 622, 269, 1703, 1185, 1044, 513, 2182, 5162, 267, 543, 1310, 621, 519, 4057, 4807, 1185, 11124, 689, 8611, 269, 10793, 1705, 1100, 960, 607, 2943, 267, 543, 789, 8057, 23487, 2685, 4057, 269, 634, 30612, 4718, 602, 972, 729, 1100, 1797, 540, 5329, 10793, 543, 9887, 689, 27781, 855, 676, 9513, 1200, 10800, 282, 865, 835, 6640, 1352, 1767, 547, 1200, 5067, 267, 968, 296, 993, 1932, 4617, 547, 979, 8885, 267, 10793, 267, 865, 563, 31568, 543, 519, 2142, 534, 560, 1779, 12090, 538, 4789, 543, 3323, 1055, 607, 606, 5711, 1650, 269, 898, 729, 513, 1360, 2442, 5711, 1650, 602, 3237, 946, 547, 2995, 741, 3214, 547, 4001, 873, 519, 3992, 269, 634, 1101, 5339, 4528, 729, 9102, 538, 476, 5197, 278, 676, 18148, 21741, 691, 269, 21741, 691, 4956, 547, 1820, 519, 1650, 865, 811, 1004, 1223, 1224, 621, 543, 1451, 269, 2368, 2694, 540, 519, 1650, 3357, 689, 824, 2127, 1472, 519, 1158, 585, 1383, 267, 519, 563, 763, 8836, 19043, 540, 968, 31568, 543, 519, 2142, 534, 560, 1779, 892, 21850, 29767, 1280, 519, 5354, 540, 8103, 779, 6228, 267, 5711, 1686, 814, 1044, 519, 1152, 1259, 540, 8497, 2621, 543, 8429, 2984, 593, 547, 2104, 5481, 269, 7043, 1354, 2542, 543, 1603, 2968, 3029, 540, 1480, 2792, 267, 5711, 1686, 729, 519, 1152, 1259, 547, 1118, 2621, 7639, 3564, 13951, 269, 3245, 891, 5711, 12583, 2097, 1082, 540, 563, 31568, 543, 519, 2142, 534, 560, 1779, 568, 513, 476, 5002, 273, 1977, 2110, 4670, 9859, 676, 6723, 590, 269, 18307, 2719, 543, 3798, 7773, 590, 269, 623, 7163, 269, 18140, 5758, 269, 769, 713, 9998, 1634, 9542, 540, 519, 5929, 18912, 9661, 267, 10793, 1101, 23194, 1010, 10800, 585, 519, 21167, 269, 3571, 3993, 1287, 2306, 1864, 6749, 873, 538, 519, 4395, 13452, 267, 543, 979, 547, 1010, 4055, 269, 1306, 646, 3207, 338, 267, 10793, 568, 10272, 676, 513, 18912, 945, 2982, 1864, 1350, 31663, 525, 540, 1018, 786, 24098, 1864, 950, 646, 10841, 1742, 563, 31568, 543, 519, 2142, 534, 560, 1779, 1306, 6592, 676, 12448, 18999, 10793, 590, 20635, 519, 21582, 269, 4495, 2390, 513, 942, 972, 729, 513, 4057, 30612, 945, 5030, 538, 513, 2370, 32119, 609, 1200, 1152, 5067, 10793, 269, 10793, 729, 513, 575, 1342, 344, 267, 2219, 1652, 7911, 267, 855, 1360, 2186, 2295, 539, 543, 15754, 622, 269, 1703, 1185, 1044, 513, 2182, 5162, 267, 543, 1310, 621, 519, 4057, 4807, 1185, 11124, 689, 8611, 543, 989, 826, 269, 10793, 1705, 1100, 563, 18693, 13132, 540, 27208, 3084, 12325, 543, 824, 4583, 1004, 538, 27000, 1686, 602, 616, 2854, 1312, 538, 22105, 11530, 543, 2296, 616, 849, 2139, 269, 17652, 547, 1331, 1344, 827, 27208, 3756, 1934, 538, 519, 13372, 267, 689, 519, 2025, 2757, 3756, 602, 1453, 1031, 547, 1404, 267, 547, 519, 1034, 5767, 2228, 3756, 1631, 1373, 5129, 693, 741, 1360, 1378, 5321, 610, 538, 606, 5769, 595, 12522, 971, 607, 5426, 5455, 563, 17359, 2228, 1257, 540, 681, 2794, 601, 560, 559, 1206, 7219, 676, 29564, 717, 3234, 332, 269, 4033, 2110, 2984, 676, 29564, 717, 3234, 332, 849, 2139, 2059, 609, 1082, 1866, 676, 5929, 543, 4207, 4589, 269, 2110, 2984, 7317, 2262, 3756, 269, 29564, 717, 3234, 332, 269, 681, 2794, 601, 560, 559, 1206, 7219, 269, 4495, 972, 729, 513, 30885, 945, 729, 4057, 267, 855, 945, 1185, 513, 4190, 8250, 269, 3767, 621, 5949, 602, 646, 1185, 547, 979, 543, 3717, 547, 519, 4622, 267, 543, 538, 1931, 547, 1118, 5128, 563, 302, 20268, 1234, 343, 12834, 269, 32084, 1234, 343, 568, 513, 5259, 13357, 602, 6645, 519, 1650, 540, 3751, 32084, 540, 634, 15816, 267, 945, 568, 535, 730, 547, 6146, 1010, 4651, 543, 19533, 1010, 3993, 269, 634, 15816, 568, 13351, 676, 513, 20575, 602, 786, 563, 23087, 540, 10793, 543, 519, 2142, 534, 560, 1779, 10793, 568, 513, 4057, 2370, 7911, 945, 2729, 538, 519, 4104, 609, 1010, 3158, 269, 634, 5067, 543, 3993, 2661, 1055, 741, 16933, 5144, 267, 855, 835, 1554, 950, 519, 10800, 3085, 1405, 3132, 1022, 5144, 267, 10793, 781, 3158, 6645, 1864, 547, 979, 6133, 519, 10800, 538, 519, 2344, 585, 2724, 543, 1426, 269, 1879, 10793, 568, 593, 519, 1259, 547, 6133, 519, 10800, 646, 10742, 513, 812, 945, 3081, 646, 814, 9059, 10365, 602, 1332, 2731, 7381, 16074, 269, 10793, 16976, 563, 763, 3933, 4486, 543, 634, 595, 10635, 617, 850, 269, 4495, 2390, 513, 942, 267, 513, 15931, 24564, 5030, 538, 513, 3529, 602, 16004, 30861, 267, 2699, 9782, 13212, 269, 1261, 729, 1360, 6126, 269, 2290, 5386, 1554, 267, 513, 25438, 850, 2220, 600, 909, 547, 602, 3529, 543, 5143, 519, 24564, 602, 646, 1185, 14612, 513, 1279, 3845, 543, 729, 538, 3406, 540, 1426, 607, 646, 729, 1360, 17237, 269, 634, 2186, 24564, 6035, 1864, 513, 1906, 9782, 13212, 269, 634, 25438, 850, 10150, 873, 1360, 1454, 543, 4280, 519, 24564, 563, 21841, 23087, 267, 513, 2413, 4244, 547, 27910, 24687, 543, 1849, 14554, 24687, 267, 3091, 1164, 7779, 1353, 10274, 602, 4183, 2143, 3184, 24096, 543, 2079, 540, 2101, 4798, 267, 3197, 267, 10530, 267, 543, 1557, 3584, 269, 901, 835, 22240, 3391, 2882, 513, 4729, 5758, 543, 5618, 2079, 540, 12390, 1088, 543, 717, 4958, 601, 676, 681, 11986, 10815, 518, 269, 681, 11986, 10815, 518, 568, 606, 8366, 20421, 1977, 10564, 543, 6037, 1807, 282, 6754, 744, 269, 2098, 601, 31582, 568, 519, 563, 31568, 543, 519, 21167, 560, 1779, 269, 10793, 814, 930, 9059, 10365, 256, 1548, 786, 4755, 950, 789, 1376, 547, 1332, 538, 1010, 4677, 286, 13772, 543, 1265, 856, 256, 19369, 269, 9452, 2919, 676, 11062, 2296, 6732, 269, 10794, 269, 26671, 269, 7179, 519, 1650, 269, 7179, 606, 2534, 585, 519, 1650, 269, 7179, 519, 4267, 269, 17564, 269, 634, 9649, 538, 713, 1650, 814, 513, 9059, 3771, 335, 602, 666, 2206, 543, 513, 9059, 18911, 602, 23933, 11344, 5798, 256, 5994, 602, 930, 563, 31568, 543, 519, 2142, 534, 560, 1779, 568, 606, 2296, 18912, 9661, 827, 513, 7911, 3957, 10793, 945, 26136, 547, 18214, 909, 513, 9059, 21167, 560, 1779, 538, 3406, 540, 1010, 19539, 269, 901, 7160, 2882, 2681, 12383, 676, 19124, 595, 8735, 269, 901, 7160, 2882, 2681, 12383, 676, 19124, 595, 8735, 563, 31568, 543, 519, 2142, 534, 560, 1779, 269, 10793, 3893, 930, 9059, 10365, 602, 8057, 883, 513, 9649, 21167, 560, 1779, 256, 1879, 10793, 6172, 5523, 519, 21167, 560, 1779, 267, 1018, 1705, 646, 1265, 693, 519, 1283, 540, 621, 286, 5426, 281, 11628, 282, 7392, 281, 28980, 282, 8525, 4032, 281, 476, 5038, 9664, 282, 2672, 3386, 585, 281, 476, 278, 268, 279, 1296, 282, 11352, 3883, 269, 7490, 3346, 707, 2199, 2733, 12460, 547, 1931, 713, 3126, 269, 7490, 3346, 707, 2199, 2733, 12460, 585, 811, 1344, 610, 547, 1747, 606, 1931, 269, 1284, 12282, 871, 543, 519, 21167, 560, 1779, 10374, 1650, 4495, 2390, 513, 942, 972, 729, 513, 7911, 1572, 10793, 269, 1261, 5030, 609, 1010, 3993, 269, 1358, 941, 1360, 4057, 269, 2353, 789, 1185, 729, 513, 10800, 269, 2290, 6640, 267, 10793, 779, 3993, 5143, 10793, 547, 1491, 741, 10800, 547, 2344, 543, 6133, 1200, 269, 2201, 519, 1259, 267, 10793, 1558, 513, 812, 269, 1261, 5795, 10793, 930, 9059, 10365, 585, 519, 10800, 269, 10793, 3576, 519, 10365, 543, 4682, 1394, 1753, 269, 1879, 10793, 779, 3993, 4718, 519, 10365, 1352, 729, 1360, 12282, 871, 543, 519, 2142, 534, 560, 1779, 12834, 269, 12834, 281, 10793, 543, 519, 21167, 560, 1779, 568, 519, 1650, 540, 513, 1762, 267, 4057, 7911, 2713, 609, 1010, 4057, 3993, 538, 513, 6263, 2370, 2777, 269, 4256, 1152, 1797, 540, 1507, 4747, 568, 513, 10800, 269, 2290, 6640, 267, 519, 10800, 13515, 4758, 5144, 267, 543, 10793, 568, 4061, 2366, 1055, 547, 519, 2344, 547, 6133, 621, 269, 2201, 519, 1259, 547, 519, 2344, 646, 10742, 606, 2025, 812, 945, 3091, 269, 0, 2005, 568, 606, 1858, 540, 1353, 1369, 7574, 1035, 24065, 923, 269, 4014, 519, 3597, 4908, 540, 519, 5207, 14440, 1883, 267, 595, 279, 267, 568, 476, 275, 269, 273, 298, 13703, 267, 621, 814, 2800, 9582, 602, 979, 3564, 519, 2039, 540, 1480, 6217, 269, 901, 2636, 721, 547, 2070, 824, 7405, 685, 4130, 9832, 538, 6935, 547, 621, 269, 634, 623, 10730, 543, 16186, 269, 5899, 902, 4268, 538, 3259, 543, 11098, 267, 865, 602, 1082, 12354, 2314, 666, 3514, 593, 835, 3280, 532, 4604, 269, 9453, 602, 2039, 267, 596, 6336, 519, 1915, 540, 1164, 4967, 630, 604, 596, 1869, 723, 6217, 538, 602, 2039, 1040, 21642, 3259, 267, 2527, 543, 8082, 269, 631, 2839, 681, 3198, 12283, 476, 8517, 910, 476, 273, 269, 276, 330, 630, 3602, 804, 13616, 4523, 267, 938, 10772, 616, 6213, 267, 1932, 1454, 4992, 2182, 267, 17725, 267, 1073, 333, 2135, 1190, 264, 476, 276, 31031, 5058, 645, 19798, 630, 2969, 307, 19272, 476, 10384, 268, 272, 330, 267, 31031, 5058, 12971, 30990, 476, 273, 269, 276, 330, 264, 661, 28421 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 13801, 1344, 602, 568, 2653, 547, 1174, 543, 11617, 13267, 269, 901, 949, 1331, 3877, 827, 519, 1153, 781, 4081, 3292, 267, 29599, 2238, 267, 13464, 6703, 267, 12200, 543, 5234, 267, 23504, 4170, 267, 2754, 6725, 267, 543, 24875, 3790, 269, 589, 2156, 577, 675, 11718, 666, 581, 1031, 547, 1118, 513, 2156, 577, 675, 585, 1808, 5301, 563, 29662, 577, 999, 616, 606, 2500, 1259, 547, 13686, 519, 2189, 7907, 540, 513, 1153, 610, 1982, 543, 547, 5968, 922, 1871, 547, 1761, 1053, 543, 3237, 269, 1358, 666, 581, 7856, 693, 1153, 4023, 338, 267, 1930, 8075, 543, 824, 2621, 267, 610, 3838, 2228, 998, 513, 1153, 779, 3896, 610, 1514, 2923, 9055, 563, 763, 3804, 540, 606, 3872, 2156, 577, 675, 568, 547, 1683, 519, 1344, 602, 1053, 543, 3237, 991, 547, 1118, 5483, 3664, 827, 741, 3872, 3681, 269, 1635, 3246, 513, 2312, 543, 8903, 5048, 267, 2156, 577, 999, 666, 948, 3506, 4482, 543, 11677, 1053, 267, 1628, 2178, 3347, 609, 3237, 543, 519, 2146, 267, 543, 3895, 513, 2528, 540, 1565, 543, 2208, 563, 13436, 547, 513, 30732, 2280, 267, 2156, 577, 675, 3211, 616, 17074, 1031, 676, 1053, 547, 948, 873, 1711, 513, 2156, 577, 675, 602, 568, 1134, 268, 23457, 543, 13181, 269, 1358, 723, 6810, 585, 10747, 519, 3483, 543, 5304, 267, 4058, 519, 1374, 543, 11768, 267, 24152, 519, 1543, 267, 12180, 519, 1344, 267, 543, 17265, 543, 2847, 2358, 519, 3803, 1587, 269, 1358, 1683, 513, 11295, 5943, 547, 948, 1053, 1711, 2500, 2156, 577, 999, 543, 5000, 5876, 543, 2565, 3206, 267, 3976, 8757, 513, 9962, 5304, 563, 17637, 532, 606, 2500, 2156, 577, 675, 10959, 666, 581, 513, 4101, 4305, 267, 855, 972, 616, 513, 1906, 4388, 602, 666, 948, 596, 1711, 17074, 602, 616, 11617, 13267, 267, 13181, 267, 543, 2653, 547, 946, 912, 3528, 1739, 891, 4388, 267, 596, 666, 1374, 2156, 577, 675, 17074, 602, 616, 11617, 13267, 267, 13181, 267, 2653, 547, 946, 585, 707, 5497, 5304, 563, 20578, 2156, 577, 999, 616, 2156, 577, 999, 602, 616, 2966, 543, 2813, 2687, 547, 1808, 4170, 543, 7375, 540, 606, 1367, 610, 3919, 269, 9521, 840, 13402, 2156, 577, 999, 602, 616, 2907, 2966, 543, 2139, 585, 6718, 267, 2688, 2156, 577, 999, 616, 2813, 689, 15072, 1759, 593, 519, 2189, 2115, 543, 32107, 540, 519, 5561, 269, 1703, 616, 849, 2156, 577, 675, 20536, 1863, 17074, 602, 616, 2688, 14184, 563, 20578, 2156, 577, 999, 666, 581, 2813, 538, 513, 3099, 540, 7306, 267, 6163, 267, 543, 12043, 267, 543, 666, 1331, 513, 2647, 2039, 540, 1543, 267, 971, 607, 1344, 827, 5238, 610, 3906, 269, 1358, 666, 849, 581, 9102, 593, 1114, 2010, 540, 1957, 610, 3556, 18450, 563, 2467, 616, 1082, 2228, 2156, 577, 675, 1806, 602, 596, 1265, 593, 519, 4950, 267, 8151, 689, 2241, 6272, 547, 811, 1950, 543, 7317, 3283, 281, 1934, 616, 513, 1906, 1806, 540, 5867, 547, 1374, 513, 2156, 577, 675, 2228, 912, 288, 2156, 577, 675, 20536, 568, 513, 3301, 1907, 610, 2228, 3760, 602, 6087, 3755, 547, 1374, 543, 1711, 2156, 577, 999, 1510, 8506, 3573, 1374, 1983, 269, 589, 2156, 577, 675, 20536, 3335, 2488, 3755, 609, 513, 3099, 540, 840, 27059, 17074, 267, 1374, 2609, 267, 11249, 3681, 547, 3442, 689, 267, 1818, 621, 4443, 585, 873, 547, 1711, 3318, 2156, 577, 999, 269, 2060, 513, 2156, 577, 675, 20536, 267, 596, 666, 3362, 1118, 707, 1378, 2156, 577, 675, 563, 288, 2156, 577, 675, 20536, 666, 581, 1031, 585, 513, 2647, 2039, 540, 5301, 6306, 689, 3872, 3252, 267, 621, 666, 849, 581, 1031, 607, 1870, 2156, 577, 675, 610, 3906, 2156, 577, 675, 267, 3092, 269, 3755, 666, 3335, 21160, 519, 9115, 267, 11768, 267, 543, 1374, 540, 519, 2156, 577, 675, 547, 2743, 741, 1808, 2115, 543, 7375, 269, 1358, 616, 849, 2156, 577, 675, 15888, 602, 1450, 3755, 547, 1711, 543, 1374, 2156, 577, 999, 1510, 1991, 1995, 610, 1374, 1983, 563, 21430, 513, 2156, 577, 675, 3322, 1896, 3268, 267, 1519, 4058, 267, 8888, 267, 543, 8228, 269, 3371, 568, 513, 2489, 7650, 540, 519, 3268, 3238, 538, 1818, 513, 2156, 577, 675, 912, 2171, 723, 6266, 540, 17074, 547, 3442, 689, 269, 6875, 513, 1413, 693, 938, 1383, 585, 6667, 2336, 5629, 596, 798, 713, 267, 596, 786, 581, 9859, 547, 519, 1650, 4580, 17082, 563, 6826, 2386, 547, 1289, 621, 1945, 1644, 547, 519, 1888, 865, 602, 596, 666, 3362, 1265, 621, 538, 519, 2104, 563, 1607, 568, 1141, 596, 786, 1331, 8846, 267, 1808, 2055, 543, 2592, 267, 543, 1118, 1022, 12716, 2242, 602, 596, 1131, 899, 269, 634, 3681, 616, 11995, 2336, 2691, 596, 616, 8737, 609, 707, 4976, 267, 4945, 713, 7735, 538, 519, 2539, 1318, 1688, 7944, 547, 14827, 707, 1650, 4580, 563, 5804, 1934, 596, 666, 1820, 267, 4647, 607, 513, 7300, 267, 8936, 621, 547, 606, 7084, 543, 946, 621, 25274, 267, 543, 811, 2336, 288, 2156, 577, 675, 17082, 568, 513, 3301, 1907, 610, 2228, 3760, 602, 2636, 3755, 547, 1374, 543, 1711, 2156, 577, 999, 1510, 8506, 3573, 1374, 1702, 543, 1983, 269, 898, 3335, 2488, 3755, 609, 513, 3099, 540, 840, 27059, 17074, 267, 1374, 2609, 267, 543, 1585, 11249, 3681, 547, 3442, 689, 267, 1818, 621, 4443, 585, 873, 547, 1711, 3318, 3168, 2156, 577, 999, 563, 2414, 1118, 707, 2156, 577, 675, 1374, 1796, 856, 267, 2015, 6220, 2189, 1374, 2609, 267, 971, 607, 2688, 12383, 610, 12449, 267, 602, 9356, 707, 6216, 543, 5048, 269, 2422, 513, 10058, 2681, 10325, 543, 1462, 2762, 547, 1711, 513, 23887, 1413, 543, 1745, 267, 543, 1118, 2386, 707, 1374, 568, 13267, 543, 2653, 547, 1224, 269, 6333, 1210, 1164, 2298, 1957, 543, 8228, 2553, 547, 3986, 519, 2949, 1413, 543, 1745, 540, 707, 2156, 577, 675, 563, 8133, 267, 972, 616, 1082, 1863, 2156, 577, 675, 17074, 2139, 2228, 602, 596, 666, 946, 607, 513, 4358, 585, 707, 1374, 269, 1452, 17074, 3335, 2097, 11884, 538, 513, 3099, 540, 12043, 543, 6163, 267, 543, 666, 581, 16419, 547, 3514, 707, 1808, 2115, 543, 7375, 563, 29662, 577, 999, 2097, 538, 513, 3099, 540, 7306, 267, 855, 519, 1034, 1455, 7306, 616, 476, 279, 269, 276, 685, 685, 685, 1535, 476, 1556, 685, 8730, 476, 279, 269, 276, 685, 685, 1535, 476, 1691, 685, 8730, 543, 476, 1556, 685, 685, 1535, 476, 1704, 685, 9957, 634, 2450, 540, 707, 2156, 577, 675, 786, 3313, 519, 2179, 540, 1543, 596, 991, 547, 1331, 543, 519, 3898, 596, 3442, 269, 898, 779, 1271, 547, 3442, 513, 2450, 602, 13352, 707, 2115, 543, 2636, 707, 1543, 547, 581, 3362, 28505, 543, 3015, 547, 707, 3077, 5304, 269, 0, 268, 918, 8932, 12380, 20861, 454, 268, 918, 8932, 12380, 910, 5851, 454, 268, 12305, 566, 1299, 4762, 580, 4851, 454, 268, 6176, 20283, 532, 13088, 454, 268, 23977, 1676, 1464, 1323, 26087, 525, 13088, 454, 268, 918, 8932, 12380, 910, 29942, 5900, 2931, 454, 268, 19534, 6755, 564, 1674, 13281, 454, 268, 918, 8932, 12380, 910, 4112, 334, 2787, 13088, 454, 268, 918, 8932, 12380, 910, 5983, 985, 923, 13088, 454, 268, 918, 8932, 12380, 910, 4317, 7177, 454, 268, 918, 8932, 12380, 910, 853, 7675, 13088, 454, 268, 918, 8932, 12380, 910, 10965, 858, 532, 1299, 1975, 334, 1993, 532, 454, 268, 918, 8932, 12380, 910, 10426, 5320, 15434, 9535, 13088, 454, 268, 918, 8932, 12380, 910, 24367, 7457, 454, 268, 918, 8932, 12380, 910, 681, 27654, 7177, 454, 268, 918, 8932, 12380, 910, 27561, 13088, 454, 268, 918, 8932, 12380, 2422, 995, 8249, 454, 268, 918, 8932, 12380, 910, 16797, 6651, 454, 268, 918, 8932, 12380, 910, 2422, 995, 8249, 454, 268, 918, 8932, 12380, 910, 17564, 454, 8333, 663, 5832, 532, 281, 769, 1467, 610, 1325, 2819, 4881, 1184, 454, 2791, 949, 3006, 1616, 547, 2196, 1896, 12981, 18615, 569, 538, 12380, 269, 1677, 9585, 713, 267, 596, 666, 946, 4971, 5832, 532, 269, 1280, 1383, 267, 952, 596, 4941, 547, 4647, 513, 19316, 21287, 267, 10920, 12304, 621, 267, 543, 1287, 4894, 519, 4611, 21287, 689, 12210, 267, 596, 1223, 1826, 891, 1614, 12981, 1927, 563, 2080, 267, 649, 3580, 1413, 693, 930, 2409, 585, 17626, 1944, 12981, 1210, 645, 1662, 538, 12380, 269, 4634, 952, 789, 2811, 2907, 4881, 563, 1103, 1467, 16710, 932, 8724, 454, 289, 1662, 814, 1390, 8112, 543, 3532, 2934, 585, 519, 1439, 6629, 22852, 269, 1284, 666, 1711, 1279, 9696, 540, 5528, 547, 1685, 1022, 1297, 540, 4247, 563, 283, 12252, 272, 285, 2999, 1173, 3701, 272, 285, 2999, 7798, 532, 11346, 285, 2999, 12252, 273, 285, 2999, 1173, 3701, 273, 285, 4429, 2419, 7134, 4238, 1331, 1896, 1455, 3283, 267, 865, 649, 3580, 1491, 513, 1413, 693, 873, 1934, 563, 282, 630, 572, 6193, 20325, 264, 6567, 634, 4971, 593, 519, 2484, 1318, 2141, 8255, 1310, 519, 835, 593, 519, 2282, 1318, 267, 1256, 952, 519, 8545, 14543, 563, 261, 630, 2086, 619, 663, 264, 6567, 2201, 519, 2451, 2427, 267, 972, 568, 513, 834, 14725, 538, 519, 1394, 326, 9613, 257, 4781, 282, 593, 519, 1318, 2427, 267, 972, 568, 606, 834, 9404, 2664, 520, 569, 1376, 257, 4781, 563, 347, 630, 335, 6559, 264, 6567, 634, 2451, 4971, 30778, 3044, 856, 12992, 883, 519, 1318, 4971, 781, 3044, 3403, 454, 261, 261, 630, 13263, 264, 6567, 1403, 519, 4971, 593, 519, 1318, 7319, 12923, 267, 1287, 14892, 519, 4971, 593, 519, 1318, 269, 19227, 267, 1810, 1405, 14892, 519, 4971, 593, 519, 27632, 6255, 563, 1475, 630, 3036, 264, 6567, 1403, 519, 835, 593, 519, 2451, 13401, 6707, 630, 320, 4642, 8120, 1070, 1287, 14892, 519, 835, 593, 519, 1318, 563, 2791, 666, 849, 11700, 846, 6898, 1369, 24324, 547, 14892, 873, 538, 513, 7449, 17850, 563, 263, 2999, 12252, 272, 285, 30974, 2999, 12252, 273, 285, 3738, 1299, 630, 2999, 12252, 274, 285, 30974, 2999, 12252, 275, 285, 3738, 1299, 454, 4322, 1079, 12981, 1131, 581, 13401, 835, 1310, 1776, 269, 769, 1142, 267, 519, 2034, 1267, 2783, 519, 2063, 563, 8333, 663, 932, 8724, 609, 1325, 2819, 26121, 22948, 454, 2171, 3513, 1413, 693, 875, 649, 666, 946, 519, 27016, 3890, 1599, 547, 14892, 513, 2034, 7387, 7097, 1310, 835, 814, 2907, 1044, 3323, 269, 901, 568, 513, 12109, 3899, 585, 519, 861, 2675, 718, 1572, 27016, 263, 1916, 2691, 2196, 1510, 1022, 6724, 267, 621, 3649, 1080, 585, 782, 4282, 3157, 540, 519, 1699, 7387, 269, 1403, 1100, 6724, 616, 2016, 267, 621, 786, 13793, 519, 7387, 2394, 782, 3157, 616, 6192, 563, 2791, 666, 946, 519, 533, 573, 810, 325, 4971, 547, 1205, 519, 1184, 9517, 338, 630, 303, 31312, 264, 540, 782, 4881, 3157, 609, 2147, 4408, 269, 2913, 779, 2161, 649, 1616, 547, 2196, 1614, 4282, 476, 1015, 5498, 322, 3207, 12981, 543, 1287, 2638, 799, 3283, 941, 3811, 269, 1284, 1223, 1826, 6567, 454, 259, 3207, 476, 1015, 1299, 476, 476, 28360, 10602, 1269, 3207, 476, 1015, 1299, 476, 476, 28360, 4281, 1269, 3207, 476, 1015, 1299, 476, 476, 28360, 8064, 1269, 7227, 18159, 3671, 1993, 3207, 264, 30974, 16079, 20613, 1243, 585, 476, 274, 476, 1015, 29364, 3207, 338, 476, 667, 821, 3207, 476, 1015, 910, 667, 821, 3207, 476, 1015, 1341, 667, 821, 3207, 476, 1015, 20613, 1243, 585, 476, 274, 476, 1015, 29364, 3207, 338, 454, 2791, 1223, 3035, 519, 1482, 2164, 676, 9256, 1896, 12981, 883, 835, 269, 1280, 1383, 267, 596, 1223, 946, 519, 1739, 5311, 540, 12981, 281, 1186, 910, 1030, 1923, 6067, 335, 910, 341, 1412, 11415, 23823, 259, 7227, 18159, 1186, 910, 1030, 1923, 6067, 335, 2999, 15263, 2012, 285, 1923, 959, 910, 338, 1412, 1412, 1923, 2759, 910, 325, 476, 273, 910, 323, 1412, 1412, 3738, 30974, 16079, 20613, 1243, 585, 476, 274, 476, 1015, 29364, 3207, 338, 454, 8333, 663, 11800, 1397, 1776, 1259, 540, 5832, 532, 1927, 2789, 3527, 269, 634, 1269, 3890, 1599, 6645, 721, 602, 519, 3977, 689, 519, 3009, 3330, 519, 24324, 786, 581, 1031, 607, 513, 9936, 585, 519, 7227, 1599, 269, 769, 938, 2013, 6567, 454, 1186, 6567, 1030, 6567, 5531, 338, 782, 3157, 609, 3877, 454, 326, 10517, 2999, 15263, 2012, 285, 6567, 2824, 338, 689, 519, 27666, 6567, 1030, 3977, 519, 3515, 5627, 2999, 15263, 2012, 11417, 13700, 6567 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 774, 584, 269, 476, 1015, 281, 1428, 533, 6230, 269, 30252, 12668, 281, 589, 1715, 16593, 630, 3192, 278, 264, 570, 18199, 9045, 269, 476, 275, 281, 1428, 533, 6230, 563, 30252, 12668, 281, 634, 7276, 22367, 7719, 7982, 630, 2735, 271, 264, 570, 18199, 9045, 269, 476, 278, 533, 6230, 11053, 1069, 13541, 476, 273, 281, 7225, 8540, 4303, 630, 1960, 272, 264, 15562, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 289, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 5369, 545, 26263, 1580, 320, 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, 6092, 5149, 281, 26659, 9828, 910, 10435, 12085, 14568, 2439, 8702, 547, 713, 2706, 3579, 1576, 1770, 1141, 649, 786, 1451, 827, 11938, 2553, 998, 519, 7828, 540, 1818, 1919, 1732, 256, 1411, 1522, 4898, 1018, 11938, 1797, 286, 4270, 267, 621, 3274, 4016, 547, 4466, 519, 1655, 3070, 856, 540, 1082, 2009, 3283, 269, 5994, 596, 723, 1896, 10092, 547, 3914, 707, 3659, 781, 2777, 267, 855, 835, 8905, 814, 1447, 6808, 543, 3217, 7864, 3764, 1107, 602, 1131, 581, 519, 6099, 2619, 256, 3767, 1577, 781, 4685, 883, 875, 22697, 946, 891, 2035, 547, 2087, 1585, 3344, 540, 938, 2729, 780, 7078, 281, 8490, 16200, 20710, 2471, 692, 5331, 2679, 513, 8115, 1210, 4496, 22203, 543, 31211, 269, 1403, 519, 22203, 616, 1932, 6094, 267, 789, 949, 2736, 896, 5230, 13907, 267, 899, 6517, 543, 18114, 269, 1809, 952, 789, 2811, 1932, 5394, 267, 519, 8115, 3587, 11032, 947, 3320, 5230, 543, 7199, 269, 4223, 11490, 2103, 666, 948, 8030, 1265, 519, 3501, 11425, 11098, 676, 17306, 741, 1374, 256, 1358, 1711, 6310, 3631, 8204, 1114, 2188, 971, 607, 4222, 267, 2597, 267, 543, 1942, 267, 1287, 946, 6620, 547, 5173, 519, 4998, 7516, 269, 1215, 5863, 568, 602, 2496, 12244, 5384, 281, 2913, 781, 2119, 17306, 6000, 2439, 2791, 723, 4557, 4773, 540, 5569, 267, 1142, 609, 513, 1114, 3259, 269, 2659, 3804, 568, 547, 1921, 782, 12673, 1927, 1439, 3562, 15134, 1247, 10893, 519, 2698, 24906, 3259, 1063, 4296, 269, 2052, 596, 4137, 856, 519, 1034, 3608, 1259, 547, 6443, 873, 286, 5457, 267, 1175, 8220, 1079, 7475, 3085, 1405, 1611, 972, 4465, 1405, 581, 1022, 31629, 2230, 256, 8347, 5373, 1114, 12417, 543, 5635, 799, 835, 3096, 909, 519, 2547, 2179, 540, 3063, 4055, 780, 12988, 547, 3776, 8617, 14691, 13718, 3086, 602, 596, 917, 811, 827, 11938, 267, 1577, 803, 2995, 596, 827, 922, 1909, 538, 24317, 1804, 3615, 899, 9649, 5374, 986, 2812, 1031, 585, 14335, 14884, 13475, 269, 19296, 991, 547, 2327, 2922, 3560, 1510, 14124, 519, 18535, 610, 4929, 10913, 269, 1677, 3035, 713, 267, 789, 5659, 1950, 3871, 5473, 6323, 267, 9511, 267, 543, 4702, 3741, 269, 1635, 7311, 10230, 2079, 2409, 267, 789, 3313, 519, 32343, 19383, 585, 8876, 891, 7372, 3334, 780, 1103, 1483, 1272, 267, 950, 24317, 1279, 5374, 986, 2812, 676, 5721, 267, 621, 781, 2629, 547, 15814, 519, 4452, 14961, 1851, 2789, 4448, 530, 30368, 269, 4208, 286, 5221, 19514, 3892, 1223, 1291, 547, 12469, 899, 3541, 841, 906, 256, 1924, 267, 8030, 1020, 5100, 2081, 547, 3666, 519, 4229, 9117, 2390, 1142, 3296, 540, 519, 5721, 269, 4635, 11938, 2553, 267, 789, 17408, 752, 4632, 899, 519, 19437, 1063, 530, 30368, 543, 519, 2604, 4294, 676, 1489, 3889, 2394, 789, 1265, 519, 1655, 14764, 780, 6962, 1384, 18893, 574, 1436, 2553, 1404, 513, 1713, 1909, 538, 5355, 938, 3232, 2833, 543, 6061, 6946, 2042, 5185, 676, 4648, 899, 8030, 269, 3414, 2241, 2238, 543, 11541, 7653, 267, 596, 1631, 1174, 875, 6128, 2337, 721, 3605, 6099, 3435, 269, 5901, 3695, 1007, 3584, 267, 543, 945, 6487, 267, 6148, 14693, 9358, 786, 1831, 606, 4274, 693, 1818, 1919, 1732, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2752, 12087, 4041, 1923, 8222, 281, 1015, 269, 20385, 4510, 270, 2181, 21646, 1708, 24374, 269, 1822, 279, 18192, 272, 454, 20428, 281, 7177, 267, 18815, 3163, 1656, 5303, 27511, 281, 16749, 282, 3541, 841, 618, 282, 3106, 282, 4879, 282, 1279, 986, 2812, 6283, 282, 674, 4932, 282, 11237, 3693, 454, 15697, 281, 476, 272, 5412, 476, 1708, 274, 630, 4962, 281, 1704, 281, 4962, 595, 4953, 994, 763, 1353, 23083, 513, 7811, 1505, 585, 10442, 519, 1412, 338, 23245, 1996, 3541, 841, 618, 262, 13525, 540, 513, 7463, 5721, 5888, 585, 519, 6283, 540, 1360, 1279, 986, 2812, 269, 589, 5888, 540, 8370, 530, 30368, 267, 5078, 585, 519, 6283, 540, 986, 2812, 609, 513, 3259, 540, 476, 6344, 544, 267, 568, 2808, 269, 1280, 519, 6967, 5227, 7841, 13080, 267, 519, 1297, 540, 530, 30368, 568, 4389, 610, 2799, 267, 519, 1505, 1373, 9168, 4470, 593, 519, 2838, 12122, 269, 769, 13076, 609, 519, 4170, 540, 13673, 476, 16960, 8287, 281, 1001, 280, 267, 519, 5888, 568, 538, 513, 7455, 609, 513, 8953, 540, 681, 284, 5611, 544, 269, 634, 986, 2812, 18846, 267, 930, 540, 873, 3346, 519, 7299, 588, 21123, 687, 540, 519, 530, 6782, 543, 2014, 3606, 29529, 4229, 267, 799, 616, 7059, 538, 519, 7841, 3950, 269, 901, 568, 513, 32563, 585, 3541, 841, 618, 540, 519, 6174, 269, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18893, 574, 1436, 9828, 257, 607, 851, 540, 834, 21316, 30388, 1315, 31592, 5811, 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, 27986, 3776, 5082, 687, 281, 4197, 519, 11957, 540, 6348, 4820, 16388, 30760, 10029, 692, 7072, 912, 5970, 596, 2479, 9289, 875, 707, 8917, 12523, 286, 2107, 5310, 267, 1946, 621, 781, 1271, 602, 938, 12836, 616, 4023, 543, 1863, 689, 2797, 3310, 286, 1306, 4961, 2713, 538, 513, 11180, 2486, 267, 649, 782, 1404, 513, 2629, 1909, 538, 4180, 602, 1169, 5639, 568, 4862, 1282, 12836, 269, 901, 1576, 1770, 786, 6338, 596, 547, 519, 1523, 540, 1875, 4820, 16388, 12836, 7245, 1107, 1018, 621, 1797, 267, 922, 2956, 267, 543, 1761, 6937, 547, 713, 1062, 269, 1635, 1620, 891, 2035, 267, 596, 666, 1831, 606, 5483, 543, 7722, 12504, 2439, 4089, 476, 272, 281, 1548, 1281, 834, 12061, 4820, 16388, 12836, 7245, 257, 1611, 888, 15239, 4820, 16388, 3274, 4016, 547, 1945, 1373, 28102, 610, 31717, 269, 1879, 649, 2911, 827, 1875, 4820, 16388, 12836, 7245, 267, 649, 3277, 547, 519, 1259, 938, 2197, 29377, 12836, 609, 1100, 3870, 2509, 1022, 1880, 5428, 269, 898, 5849, 602, 3025, 3238, 538, 4881, 606, 9550, 910, 971, 607, 3542, 4600, 267, 9550, 16984, 267, 543, 11221, 8387, 899, 5728, 2456, 540, 1533, 543, 1827, 832, 910, 960, 1927, 9425, 543, 8449, 7488, 540, 741, 2123, 2797, 5784, 780, 7078, 281, 5994, 16475, 513, 14512, 5428, 1141, 1152, 2699, 31496, 941, 2016, 856, 693, 14735, 942, 1317, 2576, 9053, 2699, 31496, 269, 2334, 9327, 1405, 581, 1360, 4023, 547, 1346, 945, 2648, 824, 11954, 31496, 267, 1318, 286, 6684, 267, 950, 10647, 12836, 267, 649, 1616, 547, 2327, 602, 3388, 8255, 12347, 543, 1226, 19935, 865, 1142, 1268, 781, 8917, 4991, 18886, 8308, 267, 28000, 540, 7247, 789, 1489, 780, 4089, 476, 273, 281, 4208, 568, 1875, 4820, 16388, 12836, 7245, 1898, 888, 288, 1906, 4128, 5031, 519, 4644, 540, 2348, 1875, 4820, 16388, 12836, 7245, 1384, 272, 269, 2878, 3682, 339, 1254, 1996, 9186, 4995, 9453, 1875, 4820, 529, 15201, 267, 972, 1223, 581, 12886, 12018, 3664, 1500, 2429, 519, 21146, 1184, 267, 5732, 7133, 4093, 4652, 2948, 2406, 563, 273, 269, 2878, 23220, 10056, 540, 3972, 4995, 1323, 31717, 1062, 7512, 1857, 6015, 538, 519, 13359, 1184, 267, 3056, 1004, 547, 3494, 741, 16018, 5963, 2339, 563, 274, 269, 2878, 306, 2378, 8948, 8973, 9111, 4995, 589, 7123, 9111, 12346, 8185, 2390, 1863, 543, 4023, 12836, 282, 4061, 267, 4509, 29591, 1369, 519, 11889, 3344, 2337, 8190, 713, 5748, 780, 4089, 476, 274, 281, 21784, 338, 547, 1875, 4820, 16388, 12836, 7245, 454, 25748, 267, 1978, 2043, 4101, 519, 6364, 540, 2250, 12836, 723, 6659, 4145, 3823, 519, 2104, 8699, 540, 3013, 781, 21146, 3157, 269, 1452, 11570, 1419, 3895, 25749, 827, 7839, 28056, 12611, 543, 24183, 5132, 538, 938, 5238, 269, 1403, 789, 2744, 9565, 7158, 899, 5728, 2456, 540, 1533, 610, 1827, 832, 267, 789, 1522, 946, 1346, 5107, 547, 13861, 3652, 543, 5773, 267, 3976, 28855, 1944, 519, 4295, 3741, 540, 1875, 4820, 16388, 12836, 7245, 780, 6962, 912, 2026, 2104, 17037, 543, 3742, 2818, 540, 2486, 267, 1620, 519, 2565, 2470, 540, 1875, 4820, 16388, 12836, 7245, 2636, 721, 547, 5660, 519, 1871, 540, 14619, 543, 6111, 538, 938, 11180, 3157, 269, 9861, 3222, 540, 2009, 6937, 6087, 721, 547, 3251, 21713, 543, 7119, 4020, 1947, 538, 8497, 938, 19644, 22624, 543, 2924, 269, 5457, 267, 9111, 29263, 950, 3025, 4249, 741, 851, 19100, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 9816, 2894, 21197, 2443, 2060, 13638, 779, 3119, 24984, 538, 14151, 543, 12309, 3773, 547, 1346, 538, 21600, 543, 12425, 267, 25743, 945, 723, 31713, 519, 26117, 540, 519, 476, 1708, 271, 16232, 9550, 543, 945, 10460, 513, 3463, 547, 1016, 3200, 519, 1985, 835, 616, 593, 513, 2619, 4724, 10888, 23801, 1852, 936, 875, 12836, 616, 2196, 538, 1896, 6370, 3033, 2829, 563, 305, 7342, 538, 513, 1032, 538, 799, 717, 8008, 17037, 616, 10069, 1242, 676, 18979, 7106, 549, 1998, 540, 5518, 24068, 267, 891, 9241, 20511, 539, 17044, 9930, 710, 525, 585, 23122, 540, 1533, 543, 17294, 1459, 513, 3395, 1981, 547, 519, 4182, 779, 5389, 540, 1875, 4820, 16388, 12836, 7245, 267, 10343, 540, 9550, 2164, 543, 1931, 569, 19132, 540, 1379, 4586, 10376, 814, 3262, 7301, 3125, 338, 827, 12611, 543, 24648, 527, 1493, 3440, 1824, 267, 27479, 532, 519, 8959, 4674, 547, 936, 20183, 519, 476, 1708, 271, 2164, 543, 1832, 5449, 5518, 18496, 808, 269, 11686, 538, 1379, 269, 4256, 1686, 540, 4550, 24683, 7095, 25372, 814, 19430, 24273, 267, 9111, 4966, 543, 1256, 930, 8284, 25743, 547, 2243, 2436, 891, 8387, 1131, 31952, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 21727, 532, 3776, 20212, 910, 8836, 16844, 543, 14740, 692, 8893, 476, 274, 281, 14171, 5516, 540, 3776, 5617, 784, 902, 543, 4197, 4706, 17583, 547, 8836, 16844, 692, 5970, 596, 2479, 1185, 513, 5172, 11442, 610, 31942, 602, 11074, 2324, 1317, 596, 4769, 1405, 1491, 1434, 1416, 540, 621, 286, 898, 4440, 1500, 596, 1745, 8909, 267, 1318, 286, 3807, 899, 875, 2921, 1416, 540, 938, 28378, 568, 1271, 547, 721, 267, 8156, 1004, 609, 11587, 543, 2463, 568, 8449, 1713, 538, 2679, 513, 18900, 2486, 269, 769, 713, 3992, 267, 1577, 781, 1451, 827, 1946, 4509, 938, 1919, 6927, 543, 875, 621, 12211, 547, 1620, 2686, 4763, 543, 3961, 780, 3963, 9701, 1284, 6875, 5516, 540, 3776, 12085, 888, 14343, 7042, 2691, 649, 1902, 942, 543, 4674, 883, 3168, 1310, 938, 22590, 267, 789, 2063, 3476, 543, 1685, 1732, 269, 6056, 827, 707, 11332, 610, 25920, 4580, 282, 952, 596, 1810, 1405, 3282, 922, 5832, 610, 4870, 622, 922, 18646, 5781, 267, 621, 786, 1831, 9875, 547, 11878, 267, 543, 5555, 2736, 1524, 269, 6684, 267, 950, 649, 10714, 547, 2226, 938, 17052, 610, 3347, 267, 2792, 3587, 2352, 267, 543, 7526, 949, 8451, 780, 2162, 11162, 17349, 8048, 338, 547, 14568, 13437, 692, 9617, 607, 2834, 7738, 2337, 8831, 519, 1272, 540, 707, 9162, 610, 3457, 267, 5329, 6000, 543, 938, 1604, 2973, 814, 2147, 2640, 269, 1879, 649, 2259, 1434, 2123, 9882, 543, 2661, 538, 513, 2973, 2230, 267, 649, 616, 8902, 543, 1447, 2693, 547, 1205, 7210, 269, 9578, 267, 3388, 1175, 1568, 1732, 256, 5994, 3843, 547, 3434, 12129, 538, 513, 30255, 10051, 1107, 586, 3089, 256, 3767, 1589, 827, 4687, 513, 7594, 693, 513, 18991, 1305, 3349, 1141, 3025, 7959, 6899, 543, 6126, 269, 1548, 513, 3017, 2439, 1012, 4045, 532, 20904, 547, 8836, 16844, 543, 14740, 692, 3086, 602, 649, 1174, 1946, 5826, 568, 4105, 1577, 781, 4019, 713, 1523, 547, 1565, 827, 2686, 4763, 543, 3961, 269, 3962, 835, 540, 721, 2501, 689, 513, 2189, 4282, 267, 8744, 1585, 5389, 267, 4978, 267, 543, 2418, 547, 938, 2146, 269, 20876, 267, 19825, 267, 543, 14120, 891, 3604, 3895, 9322, 267, 6568, 267, 543, 10103, 1851, 2043, 780, 2162, 19457, 543, 4804, 8625, 692, 5331, 11504, 513, 1494, 331, 3089, 2680, 1141, 1142, 1920, 6770, 513, 8670, 8204, 741, 2528, 269, 15526, 4991, 9599, 547, 2671, 1018, 2306, 741, 1426, 2027, 1247, 23362, 512, 8463, 1007, 10346, 269, 3414, 1930, 5717, 543, 3742, 6947, 267, 5171, 1020, 4514, 4296, 543, 2744, 4030, 883, 824, 2081, 540, 2713, 269, 3683, 942, 267, 891, 3838, 2833, 1711, 9434, 7554, 1063, 3885, 543, 2950, 780, 3528, 8508, 543, 8497, 938, 1378, 6561, 543, 1373, 8049, 827, 1866, 3299, 649, 6536, 8994, 2463, 543, 7071, 585, 782, 4529, 269, 2913, 781, 3314, 602, 1169, 1367, 19262, 15683, 543, 6284, 267, 7488, 540, 5198, 267, 4984, 267, 4008, 267, 2085, 267, 610, 2702, 780, 1103, 3932, 267, 2921, 1416, 540, 938, 28378, 267, 6000, 267, 543, 938, 10450, 11414, 721, 3407, 4245, 827, 5539, 543, 8296, 2509, 1866, 269, 16792, 891, 3741, 547, 1620, 2686, 4763, 543, 3961, 2636, 721, 547, 5660, 519, 17381, 540, 1480, 2833, 543, 18791, 938, 2631, 540, 10362, 1369, 938, 3309, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8139, 519, 11957, 540, 20904, 7312, 29738, 3926, 4249, 513, 2629, 1909, 538, 12419, 513, 17598, 1995, 269, 8617, 5826, 711, 1152, 5849, 6099, 2773, 267, 855, 621, 849, 11498, 519, 14438, 540, 707, 3926, 269, 10598, 22162, 1697, 5826, 666, 1291, 547, 24571, 3022, 11046, 9088, 267, 4389, 11517, 2504, 267, 543, 1256, 18473, 10366, 269, 1635, 1739, 513, 1906, 2241, 3268, 267, 596, 666, 1832, 707, 29738, 3926, 538, 1283, 27677, 577, 2783, 585, 513, 1279, 942, 5861, 14211, 532, 2659, 966, 12686, 27620, 19894, 7738, 568, 1898, 547, 4894, 19221, 543, 21225, 602, 666, 18645, 538, 707, 29738, 3926, 269, 3371, 781, 513, 1900, 8386, 9912, 3391, 547, 948, 596, 2973, 707, 3926, 281, 1284, 2811, 2141, 2324, 547, 1683, 513, 3102, 3872, 1995, 269, 1280, 602, 2601, 267, 649, 2303, 713, 5007, 2707, 10023, 811, 1239, 593, 519, 1888, 269, 12297, 7116, 6467, 476, 6893, 480, 32453, 6893, 351, 6893, 359, 16055, 486, 6893, 485, 267, 2263, 519, 1641, 811, 8499, 6185, 529, 553, 14517, 707, 3926, 281, 3399, 676, 19459, 519, 1114, 3334, 540, 707, 29738, 3926, 269, 901, 3335, 2882, 519, 7382, 267, 16509, 267, 5023, 12328, 267, 543, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24292, 16844, 543, 14740, 257, 607, 851, 540, 834, 4306, 11070, 312, 15978, 1315, 22893, 1222, 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, 6641, 25027, 17716, 281, 1879, 5565, 3657, 14568, 20537, 2290, 692, 5970, 596, 2479, 2219, 827, 875, 930, 7068, 2661, 543, 960, 1927, 538, 10103, 286, 3143, 267, 594, 6415, 711, 6158, 827, 707, 1920, 610, 2828, 630, 6202, 267, 1034, 540, 519, 942, 256, 1070, 855, 2864, 2189, 6292, 902, 1336, 538, 2470, 1572, 1623, 25027, 3347, 256, 2913, 781, 4685, 883, 713, 4241, 1158, 543, 3605, 875, 1114, 2249, 28111, 547, 1711, 1945, 5963, 5863, 780, 5331, 1373, 2111, 547, 2973, 707, 4522, 24672, 1247, 11981, 513, 17705, 15165, 269, 2334, 781, 1018, 4523, 1063, 30539, 742, 525, 543, 3404, 701, 1188, 619, 256, 1452, 2370, 5017, 2648, 544, 684, 4221, 593, 12961, 602, 12404, 538, 30539, 11738, 9663, 269, 1306, 789, 890, 1188, 2476, 267, 741, 581, 6545, 4894, 30414, 15495, 602, 8886, 622, 519, 30539, 11738, 781, 2960, 269, 1548, 513, 3094, 2914, 514, 3510, 2439, 7775, 2015, 519, 804, 1144, 8127, 543, 4262, 606, 655, 821, 5918, 334, 269, 595, 31500, 8127, 7669, 1472, 10477, 4262, 606, 655, 2158, 267, 7863, 873, 689, 11975, 269, 11531, 267, 519, 588, 15781, 2281, 593, 606, 655, 821, 17895, 8163, 1832, 519, 804, 1144, 8127, 2922, 689, 2800, 269, 2311, 3781, 267, 519, 804, 1144, 8127, 1256, 3207, 338, 1369, 519, 606, 655, 821, 781, 9784, 2439, 3719, 7227, 282, 621, 4991, 1732, 256, 9894, 596, 917, 602, 3006, 2371, 543, 2831, 6443, 4229, 1932, 286, 6875, 267, 585, 1383, 267, 519, 2078, 1063, 11002, 16394, 543, 1035, 29716, 4054, 269, 10910, 16394, 3548, 519, 3529, 781, 3762, 267, 4758, 873, 1454, 32571, 5567, 269, 1809, 1934, 781, 1141, 1919, 1205, 4277, 910, 1310, 4189, 267, 11002, 16394, 4734, 5323, 25940, 2407, 540, 1035, 29716, 5452, 7404, 269, 17652, 2614, 267, 6263, 19155, 17708, 339, 909, 267, 4180, 2104, 6980, 585, 5481, 540, 17237, 11002, 16394, 2439, 10214, 1498, 891, 3347, 949, 3280, 9490, 267, 3314, 602, 1004, 7048, 593, 1623, 6798, 2670, 3232, 269, 6056, 827, 519, 5363, 4551, 2713, 538, 938, 8937, 267, 8840, 1524, 1426, 865, 649, 666, 10110, 1898, 5567, 269, 2107, 1491, 513, 1413, 693, 1346, 32620, 29067, 610, 6539, 29181, 4730, 609, 1142, 824, 282, 789, 1451, 1514, 1983, 998, 9316, 267, 1175, 899, 2831, 538, 2470, 780, 3086, 4605, 3054, 3695, 606, 1148, 19922, 267, 3001, 689, 7206, 547, 7206, 267, 11287, 10578, 2984, 11200, 1354, 707, 4064, 269, 5994, 952, 3079, 540, 10367, 16304, 1985, 547, 1142, 824, 267, 972, 941, 1483, 3734, 3662, 4891, 2324, 1927, 267, 13031, 6909, 8941, 540, 6668, 543, 22524, 11163, 269, 1215, 3579, 1131, 602, 581, 2496, 2026, 596, 6330, 1272, 781, 2591, 267, 1589, 827, 875, 8108, 2178, 4296, 609, 1866, 1765, 2041, 621, 2828, 267, 1920, 267, 610, 1256, 10130, 1765, 4754, 1291, 547, 4190, 4093, 267, 1454, 899, 538, 1623, 25027, 3347, 269, 1635, 1620, 543, 18245, 835, 1776, 781, 9342, 543, 12755, 267, 3025, 2640, 543, 9428, 6793, 1927, 269, 1924, 979, 6619, 267, 1265, 707, 3501, 7649, 2987, 2275, 31870, 267, 2436, 621, 781, 513, 1268, 610, 5310, 1256, 513, 4154, 8127, 3957, 32686, 7632, 267, 543, 7832, 593, 707, 1378, 9735, 3460, 540, 11505, 543, 2208, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4692, 1148, 1831, 513, 7649, 286, 12344, 811, 21705, 982, 835, 666, 4952, 269, 6270, 11450, 666, 960, 8449, 1134, 1063, 3425, 543, 2831, 269, 1411, 4440, 4952, 5243, 267, 7314, 267, 6148, 5017, 610, 18714, 20641, 269, 17610, 267, 1152, 513, 1906, 540, 721, 1131, 899, 547, 723, 513, 1085, 23705, 542, 267, 1884, 610, 10627, 607, 513, 4620, 630, 24392, 2413, 626, 7376, 30571, 18243, 6403, 568, 1767, 547, 723, 1185, 513, 10627, 950, 646, 729, 513, 4819, 1040, 769, 1010, 1557, 4208, 6733, 693, 12292, 286, 3627, 19161, 518, 5189, 513, 1507, 855, 2629, 4334, 1063, 26847, 543, 18186, 657, 269, 634, 1079, 5238, 3100, 2147, 538, 875, 519, 8436, 1847, 3330, 1107, 789, 1780, 676, 267, 3247, 543, 3136, 1107, 689, 21799, 630, 5228, 7206, 264, 547, 21799, 630, 1729, 7206, 1040, 901, 568, 1946, 519, 9741, 3627, 14266, 568, 5594, 1875, 7302, 1258, 1670, 269, 898, 5932, 10580, 538, 519, 2230, 538, 799, 519, 5159, 685, 1568, 267, 2427, 676, 2427, 267, 1628, 513, 1007, 1650, 538, 5188, 269, 19161, 518, 3379, 519, 23291, 849, 547, 513, 1480, 5834, 3786, 267, 17867, 6413, 610, 7890, 269, 21298, 267, 649, 782, 1185, 547, 3068, 32246, 30693, 1282, 519, 6855, 267, 799, 11658, 938, 1847, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15228, 25027, 17716, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 12292, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1805, 11691, 2318, 1282, 4101, 2053, 666, 581, 2352, 267, 855, 621, 568, 2009, 609, 519, 1318, 14820, 543, 2994, 269, 3371, 616, 930, 4388, 547, 948, 596, 3251, 2318, 912, 268, 6657, 1582, 13282, 281, 6875, 1416, 540, 707, 2168, 267, 3929, 267, 543, 2790, 1134, 5630, 269, 18918, 538, 2238, 602, 596, 2972, 267, 971, 607, 3635, 267, 12348, 267, 9066, 267, 610, 7836, 942, 609, 6068, 3283, 269, 26875, 1125, 1582, 13282, 547, 2226, 513, 2318, 14820, 563, 268, 10312, 593, 14696, 281, 29196, 707, 1445, 547, 519, 1919, 596, 616, 18507, 585, 538, 707, 1272, 269, 6875, 942, 1142, 1554, 547, 2992, 593, 519, 2318, 3344, 543, 2769, 14696, 585, 873, 269, 901, 666, 948, 11349, 513, 811, 2318, 19773, 563, 268, 28259, 3054, 609, 25273, 281, 16418, 856, 2318, 7506, 543, 3295, 3054, 609, 11215, 543, 23904, 1004, 269, 3680, 2258, 18356, 543, 3970, 4598, 547, 3377, 610, 1514, 2923, 602, 949, 3565, 547, 2942, 4555, 610, 2566, 563, 268, 5590, 10853, 3853, 281, 5590, 24276, 3853, 602, 2285, 596, 513, 2631, 540, 3483, 543, 3356, 269, 16505, 873, 1524, 883, 4130, 267, 19242, 3268, 267, 543, 8661, 707, 10781, 2059, 519, 1259, 269, 901, 666, 948, 2226, 8404, 543, 513, 2318, 14820, 563, 268, 6657, 2318, 1582, 2389, 1779, 281, 18554, 707, 6418, 5188, 543, 5372, 2942, 4555, 609, 2318, 543, 16779, 14751, 725, 269, 3816, 785, 3054, 540, 707, 9342, 267, 18517, 267, 543, 519, 1761, 585, 2208, 543, 6043, 563, 268, 16418, 1489, 281, 28651, 856, 547, 2828, 267, 1920, 267, 610, 1489, 2516, 1282, 2352, 2053, 269, 19457, 707, 4606, 543, 2833, 609, 1866, 666, 1683, 4313, 267, 5583, 267, 543, 513, 4195, 5133, 563, 268, 10312, 593, 3435, 281, 5502, 540, 23029, 593, 2042, 267, 6521, 707, 1445, 547, 4466, 3435, 269, 6875, 14942, 3268, 547, 2232, 2591, 543, 2070, 873, 607, 3255, 585, 2208, 543, 1565, 563, 268, 18918, 538, 2238, 602, 10575, 3424, 596, 281, 18918, 538, 2238, 602, 3142, 596, 7772, 267, 6667, 267, 543, 513, 2631, 540, 3483, 269, 901, 1223, 1331, 12348, 267, 24749, 267, 4543, 1866, 267, 610, 13197, 3860, 19093, 269, 1452, 2238, 666, 5818, 707, 7099, 543, 2949, 1134, 5630, 563, 8855, 267, 9363, 2318, 1281, 711, 1611, 24937, 610, 27102, 2352, 4664, 610, 6381, 269, 898, 1797, 14344, 543, 16561, 873, 1247, 8362, 7446, 547, 1445, 593, 519, 2318, 3344, 540, 707, 1272, 543, 2921, 3268, 547, 11349, 513, 2318, 14820, 269, 898, 949, 1491, 942, 543, 2259, 267, 855, 609, 18094, 543, 1582, 16327, 6842, 267, 596, 666, 6330, 4101, 2053, 609, 513, 2318, 19773, 563, 299, 611, 625, 543, 9543, 5443, 2676, 9213, 267, 594, 1796, 1354, 596, 547, 5838, 513, 30973, 4633, 267, 547, 5337, 924, 519, 3595, 1369, 1142, 543, 1169, 835, 540, 596, 267, 543, 547, 8300, 596, 547, 9784, 707, 2407, 1761, 563, 16908, 568, 513, 4190, 3460, 267, 4904, 609, 22705, 543, 17498, 267, 2591, 543, 29217, 269, 13966, 713, 3460, 267, 649, 1419, 7237, 9465, 602, 1449, 938, 4222, 267, 6043, 267, 543, 8990, 269, 1809, 621, 568, 1282, 891, 8090, 540, 14488, 602, 649, 723, 519, 4316, 547, 4473, 1657, 267, 547, 3605, 938, 3020, 1761, 267, 543, 547, 3035, 30493, 563, 296, 1616, 596, 547, 19424, 513, 1272, 1141, 707, 9909, 1831, 513, 4641, 267, 1141, 707, 6612, 11479, 707, 1169, 2962, 267, 543, 1141, 707, 3483, 10274, 707, 2619, 269, 898, 568, 1369, 707, 3914, 267, 855, 621, 3340, 513, 14820, 6521, 12544, 6521, 2509, 26772, 3661, 538, 3054, 543, 707, 5759, 563, 10376, 835, 540, 596, 19299, 2189, 15421, 267, 1983, 267, 543, 9342, 602, 1118, 596, 9058, 269, 1411, 723, 519, 1379, 547, 1118, 513, 3017, 538, 519, 1158, 267, 547, 1711, 9434, 1764, 267, 543, 547, 4734, 513, 9371, 602, 26182, 1866, 563, 3719, 30493, 3085, 1406, 2097, 1510, 4674, 269, 898, 3340, 11428, 267, 16177, 267, 543, 513, 18515, 547, 1900, 3544, 540, 707, 4313, 7997, 269, 898, 7569, 602, 596, 9784, 5821, 607, 513, 19480, 6149, 547, 1967, 267, 602, 596, 1451, 689, 707, 9073, 543, 946, 873, 607, 4492, 585, 2208, 563, 8855, 267, 621, 779, 711, 827, 519, 10278, 282, 621, 779, 827, 519, 3460, 269, 22737, 519, 1184, 267, 8661, 519, 1507, 24984, 267, 543, 1451, 689, 519, 2591, 2059, 519, 1259, 269, 2659, 3460, 568, 1018, 5546, 596, 267, 28633, 596, 267, 543, 2306, 596, 6793, 563, 20776, 1037, 3054, 609, 2318, 7506, 267, 609, 2043, 945, 3494, 538, 707, 1761, 543, 5000, 707, 2208, 269, 12706, 513, 1489, 1062, 602, 3076, 1206, 596, 909, 267, 602, 4665, 919, 596, 547, 7903, 3564, 707, 7182, 267, 543, 602, 22842, 707, 18454, 563, 10673, 1406, 581, 12922, 547, 5326, 2462, 267, 547, 1305, 2912, 20160, 3853, 267, 543, 547, 29677, 1310, 873, 609, 26772, 8990, 269, 2659, 9909, 949, 3100, 2484, 1922, 564, 3481, 547, 1866, 267, 855, 621, 568, 707, 3661, 538, 3054, 543, 707, 2702, 547, 7753, 9465, 602, 786, 4412, 601, 596, 4464, 563, 2026, 596, 6330, 998, 1272, 267, 3314, 602, 1967, 568, 711, 6027, 9003, 676, 1570, 22590, 610, 5007, 15418, 269, 6936, 1967, 6013, 538, 519, 20106, 596, 1265, 538, 2713, 513, 1272, 13988, 609, 707, 2418, 267, 538, 1818, 513, 2318, 1764, 593, 1866, 267, 543, 538, 4466, 7772, 543, 14696, 538, 1169, 4090, 563, 3383, 267, 594, 20882, 596, 547, 28958, 713, 4090, 267, 547, 9784, 519, 3970, 1652, 7399, 602, 9114, 1354, 596, 267, 543, 547, 7832, 593, 513, 3460, 540, 1582, 22523, 267, 2208, 267, 543, 9740, 269, 5617, 10079, 538, 3054, 267, 3972, 538, 707, 5759, 267, 543, 2760, 30391, 519, 1379, 602, 6013, 1369, 596, 563, 2791, 616, 5827, 540, 30493, 267, 543, 519, 1158, 568, 7996, 585, 596, 547, 25793, 1662, 707, 2407, 1761, 269, 1924, 267, 979, 856, 972, 267, 1118, 707, 1665, 267, 543, 8300, 1866, 547, 798, 519, 1482, 563, 14188, 596, 267, 543, 949, 707, 3460, 581, 4904, 609, 3483, 267, 6612, 267, 543, 11995, 7399, 269, 0, 12569, 5746, 476, 29204, 274, 1107, 17813, 267, 4147, 267, 13834, 267, 543, 14920, 538, 3013, 454, 763, 631, 2532, 1411, 14970, 769, 270, 5682, 3883, 630, 28415, 4828, 1916, 29638, 4070, 543, 20772, 563, 310, 10248, 519, 17245, 630, 763, 631, 2532, 1411, 14970, 769, 264, 676, 5240, 558, 630, 1001, 276, 1070, 972, 1079, 1292, 2081, 4008, 4070, 543, 6788, 4299, 803, 1247, 3395, 909, 269, 10021, 3320, 267, 594, 729, 7361, 16876, 547, 21522, 5107, 1175, 899, 519, 8695, 538, 519, 4670, 5433, 789, 941, 13615, 547, 24940, 5107, 269, 901, 1797, 689, 519, 1920, 4259, 267, 594, 1705, 519, 2048, 810, 1123, 685, 11645, 899, 8286, 267, 7738, 267, 543, 3622, 5329, 519, 2777, 538, 1931, 269, 6736, 519, 2367, 1472, 4543, 3006, 267, 594, 2141, 5433, 621, 729, 4397, 540, 803, 543, 1250, 3993, 547, 798, 971, 5107, 269, 594, 729, 849, 4397, 547, 581, 3636, 267, 18803, 267, 2015, 622, 538, 2489, 269, 634, 8695, 538, 519, 2777, 593, 519, 824, 1688, 1705, 9875, 11645, 899, 5969, 3574, 543, 2921, 1416, 540, 519, 9640, 269, 1358, 941, 849, 27726, 543, 2141, 8165, 1107, 1945, 799, 1250, 3237, 2760, 20402, 269, 9182, 267, 519, 2034, 1259, 16414, 15301, 321, 8500, 547, 1224, 811, 1916, 7343, 343, 269, 476, 7785, 1913, 269, 0, 15862, 4393, 568, 519, 957, 540, 19249, 519, 1413, 540, 606, 3239, 538, 1931, 547, 2087, 922, 12716, 1344, 585, 1480, 1620, 610, 5667, 10967, 14876, 2780, 8226, 269, 968, 19445, 3239, 4393, 892, 568, 513, 15410, 540, 519, 11418, 1858, 538, 799, 513, 4605, 568, 10736, 883, 606, 5044, 540, 1507, 9981, 1572, 19641, 602, 2099, 513, 2168, 7274, 971, 607, 519, 21386, 540, 519, 10450, 267, 6740, 538, 3059, 8823, 267, 543, 9268, 676, 513, 2780, 610, 824, 3059, 8800, 269, 634, 22906, 609, 3059, 9196, 2553, 11710, 689, 1079, 1883, 2127, 540, 3498, 281, 5355, 4605, 1344, 585, 1480, 8223, 543, 3239, 1239, 4393, 585, 4859, 267, 6771, 267, 543, 4159, 585, 5667, 10967, 14876, 3684, 5075, 269, 769, 713, 1957, 267, 649, 786, 6338, 3875, 2228, 3239, 4393, 2645, 2919, 543, 3710, 4481, 676, 590, 2967, 11445, 563, 15862, 4393, 568, 519, 2257, 540, 1210, 5904, 547, 13861, 3059, 2592, 269, 901, 13408, 3239, 14842, 2409, 543, 6620, 630, 7945, 607, 18440, 267, 19003, 267, 14261, 267, 543, 2810, 606, 3239, 779, 3308, 2298, 264, 630, 1372, 4565, 584, 2590, 267, 3954, 334, 2358, 267, 3092, 4700, 907, 12005, 4393, 568, 4867, 835, 540, 519, 1034, 6385, 2810, 4066, 269, 898, 568, 513, 7986, 1382, 1888, 538, 4702, 543, 2780, 2257, 267, 607, 1134, 607, 5841, 4987, 563, 15697, 12005, 14409, 13088, 568, 513, 1305, 540, 3044, 4704, 6620, 543, 20104, 3156, 585, 2228, 3239, 4393, 267, 2079, 267, 14839, 267, 543, 5690, 5137, 269, 12213, 1565, 543, 8106, 3239, 4393, 2553, 949, 581, 1031, 547, 798, 4605, 26409, 267, 3239, 4334, 6454, 267, 6846, 8851, 267, 632, 15918, 584, 2590, 267, 12166, 2242, 267, 543, 1454, 811, 269, 1452, 2645, 1450, 596, 547, 13861, 11147, 540, 1585, 7306, 543, 12043, 269, 1411, 949, 946, 2228, 3239, 4393, 2645, 547, 9585, 3044, 3239, 4393, 4238, 2228, 563, 15697, 3239, 4393, 2645, 3277, 547, 519, 2645, 1031, 676, 513, 3059, 2780, 547, 1184, 3059, 2592, 1210, 606, 5690, 269, 634, 3144, 3239, 568, 1287, 1031, 547, 2196, 2780, 3157, 547, 1349, 519, 4824, 4528, 610, 23074, 519, 2877, 1344, 689, 621, 563, 15697, 12005, 14409, 13088, 568, 513, 1305, 540, 3044, 4704, 6620, 543, 20104, 3156, 585, 2228, 3239, 4393, 267, 2079, 267, 14839, 267, 543, 5690, 5137, 269, 12213, 1565, 543, 8106, 3239, 4393, 2553, 949, 581, 1031, 547, 798, 4605, 22762, 3740, 2079, 267, 3239, 4334, 6454, 267, 6846, 8851, 267, 632, 15918, 584, 2590, 267, 12166, 2242, 267, 543, 1454, 811, 269, 1452, 2645, 1450, 596, 547, 13861, 11147, 540, 1585, 7306, 543, 12043, 269, 1411, 949, 946, 2228, 3239, 4393, 2645, 547, 9585, 3044, 3239, 4393, 4238, 2228, 563, 338, 2967, 11445, 267, 607, 606, 5841, 4987, 543, 3684, 1565, 3760, 585, 2679, 543, 3384, 3642, 2861, 1357, 3156, 267, 814, 513, 1808, 1445, 593, 12419, 3435, 585, 3239, 4393, 2591, 269, 1094, 328, 11445, 814, 9112, 543, 2919, 513, 3099, 540, 2228, 3239, 3491, 22422, 1907, 2533, 267, 799, 649, 786, 1413, 693, 543, 6338, 538, 519, 1739, 6810, 563, 15697, 12005, 9324, 334, 2358, 454, 763, 4480, 540, 9427, 6846, 689, 513, 26776, 3239, 547, 9156, 519, 3312, 3239, 568, 1634, 607, 968, 13548, 3954, 334, 2358, 2108, 269, 1717, 267, 621, 1522, 581, 2352, 547, 3713, 6846, 267, 8728, 267, 543, 9403, 1282, 519, 3954, 334, 2358, 1184, 267, 4611, 538, 513, 2530, 540, 1469, 538, 519, 3954, 334, 2213, 3239, 269, 1306, 513, 1267, 267, 13098, 1324, 1271, 1239, 689, 26776, 2592, 1247, 9319, 1344, 2530, 568, 513, 4101, 3390, 602, 1590, 581, 12193, 563, 291, 523, 334, 2358, 568, 606, 2228, 3239, 4393, 1907, 585, 9427, 13311, 6846, 689, 2592, 269, 898, 3096, 1950, 6620, 547, 3713, 543, 4894, 6846, 1247, 5329, 519, 3312, 3239, 2298, 269, 5637, 3059, 2592, 543, 1085, 10165, 2592, 666, 4324, 689, 2228, 3239, 6846, 5786, 2645, 269, 898, 568, 513, 1863, 1357, 1907, 602, 568, 2241, 547, 946, 543, 1281, 711, 2154, 14261, 563, 15862, 3181, 331, 584, 2590, 2228, 454, 15862, 3181, 331, 584, 2590, 568, 519, 8851, 540, 20747, 17244, 689, 2592, 269, 12005, 3181, 331, 584, 2590, 568, 513, 1184, 540, 23232, 513, 8325, 24353, 3239, 689, 513, 23324, 3239, 3812, 676, 513, 8254, 21199, 610, 606, 1843, 779, 5163, 269, 898, 814, 17275, 513, 2603, 540, 1719, 538, 519, 3239, 4393, 543, 2780, 5075, 10459, 269, 1677, 6023, 519, 3239, 3181, 331, 584, 2590, 1966, 267, 513, 3099, 540, 2409, 723, 1044, 2919, 269, 1703, 616, 1896, 4605, 3181, 331, 584, 2590, 2409, 2139, 267, 8151, 689, 5929, 3283, 1759, 593, 6310, 3741, 547, 811, 1699, 3283, 4470, 593, 3684, 1565, 543, 2620, 1565, 7835, 563, 291, 523, 334, 2358, 568, 606, 2228, 3239, 11049, 1907, 585, 9427, 13311, 6846, 689, 2592, 269, 898, 3096, 1950, 6620, 547, 3713, 543, 4894, 6846, 1247, 5329, 519, 3312, 3239, 2298, 269, 5637, 3059, 2592, 543, 1085, 10165, 2592, 666, 4324, 689, 2228, 3239, 6846, 5786, 2645, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 327, 4861, 639, 630, 13640, 531, 747, 20321, 13160, 264, 689, 519, 4279, 4446, 8175, 24035, 267, 5245, 269, 3243, 269, 808, 269, 3057, 269, 18610, 342, 520, 269, 1763, 269, 476, 4375, 267, 476, 7906, 1700, 3583, 630, 2735, 279, 994, 294, 657, 1467, 267, 654, 269, 589, 269, 634, 25576, 6134, 1309, 644, 531, 22403, 269, 595, 2100, 807, 476, 3422, 272, 267, 476, 25228, 1700, 17734, 630, 3422, 272, 994, 15031, 1562, 517, 267, 595, 269, 1323, 7650, 540, 519, 2038, 8093, 2594, 540, 1035, 13183, 14521, 338, 269, 18409, 269, 3057, 269, 2233, 269, 476, 7367, 267, 476, 3066, 1700, 6795, 630, 1960, 274, 994, 297, 28427, 267, 717, 269, 667, 269, 1299, 4793, 1562, 517, 267, 595, 269, 3131, 1260, 6973, 18105, 4094, 344, 281, 513, 5619, 540, 1035, 13183, 14521, 338, 543, 513, 1007, 11556, 269, 18409, 269, 3057, 269, 2233, 269, 476, 7367, 267, 476, 4649, 275, 1700, 277, 2918, 630, 1960, 274, 994, 29878, 2125, 267, 595, 269, 700, 269, 1299, 16735, 2125, 267, 700, 269, 595, 269, 645, 10561, 12623, 11496, 543, 24845, 8390, 538, 24991, 269, 14466, 269, 5760, 269, 6298, 269, 2233, 269, 8551, 32731, 269, 476, 1789, 267, 476, 26631, 1700, 20542, 630, 3707, 275, 994, 21595, 1067, 267, 589, 269, 681, 269, 3245, 15340, 547, 12623, 11496, 281, 29981, 3270, 540, 12623, 11496, 8390, 538, 2831, 543, 741, 12105, 4644, 269, 28540, 269, 14844, 331, 6298, 269, 2233, 269, 7330, 476, 11152, 267, 476, 16318, 8064, 1700, 16318, 10436, 630, 1960, 277, 994, 1805, 1157, 2284, 267, 681, 269, 681, 1421, 6519, 267, 667, 269, 645, 269, 1299, 16019, 267, 667, 269, 17325, 725, 540, 1710, 946, 538, 6935, 547, 8023, 543, 16889, 2623, 538, 6366, 325, 8460, 630, 303, 548, 584, 517, 624, 6134, 525, 1040, 595, 2100, 807, 476, 3192, 274, 267, 476, 15150, 1700, 14444, 630, 3192, 274, 994, 15031, 1562, 517, 267, 595, 269, 538, 634, 26187, 559, 16680, 476, 273, 630, 539, 269, 28564, 517, 267, 631, 269, 808, 4700, 476, 277, 2641, 1700, 4792, 277, 630, 2419, 777, 2006, 1299, 8065, 267, 5507, 267, 476, 1960, 274, 994, 1805, 328, 817, 5500, 267, 631, 269, 700, 269, 808, 1421, 25067, 267, 661, 269, 744, 1421, 9652, 267, 717, 269, 667, 269, 1299, 632, 2961, 1998, 14833, 267, 631, 269, 681, 269, 538, 1306, 5145, 1782, 519, 10326, 540, 5020, 630, 2644, 595, 2350, 2761, 267, 808, 269, 1299, 5213, 26710, 826, 267, 631, 269, 808, 4700, 476, 25148, 1700, 275, 3066, 630, 23682, 5112, 1133, 643, 269, 4964, 267, 1715, 3840, 267, 476, 1220, 275, 994, 296, 9684, 717, 269, 1849, 2946, 618, 267, 623, 269, 5983, 344, 267, 667, 269, 717, 537, 27826, 267, 631, 269, 6762, 614, 267, 744, 269, 5576, 738, 345, 267, 589, 269, 17261, 926, 543, 631, 269, 966, 2946, 3757, 585, 10211, 532, 610, 3246, 1569, 547, 8093, 15013, 282, 681, 269, 27336, 785, 749, 267, 645, 269, 9466, 267, 667, 269, 9652, 267, 590, 269, 681, 1563, 517, 267, 631, 269, 29124, 543, 631, 269, 4639, 928, 520, 585, 25786, 519, 10211, 610, 1353, 540, 2487, 1570, 282, 661, 269, 23664, 2023, 585, 10992, 575, 650, 268, 1105, 3197, 538, 1286, 836, 1749, 282, 631, 269, 2051, 6975, 543, 589, 269, 717, 657, 1088, 514, 16927, 671, 926, 585, 735, 4979, 519, 17223, 29821, 11904, 902, 267, 918, 269, 1849, 320, 525, 517, 585, 3246, 19494, 3560, 282, 700, 269, 4173, 345, 690, 267, 589, 269, 1744, 4176, 320, 267, 667, 269, 25538, 1676, 543, 808, 269, 4591, 7322, 585, 4543, 538, 8093, 7041, 282, 543, 589, 269, 645, 2335, 1731, 990, 267, 631, 269, 3213, 919, 267, 631, 269, 5487, 21574, 828, 320, 543, 715, 269, 8055, 585, 4901, 269, 901, 960, 729, 6462, 676, 513, 9886, 689, 519, 700, 518, 1676, 8566, 9445, 8750, 585, 13149, 3194, 267, 513, 13130, 338, 8750, 16827, 267, 606, 5345, 6295, 3047, 16827, 267, 513, 2817, 3163, 7690, 23958, 3194, 26665, 23050, 630, 1177, 731, 1297, 667, 12283, 268, 28873, 279, 2537, 276, 1070, 543, 606, 7025, 10466, 10837, 5254, 2752, 26665, 23050, 630, 1177, 731, 1297, 674, 303, 280, 1626, 278, 1789, 1916, 763, 3758, 3568, 4675, 11915, 6176, 799, 2882, 519, 1739, 6810, 281, 594, 269, 2382, 6627, 31120, 282, 4083, 269, 4675, 11915, 24466, 1239, 281, 722, 510, 295, 2678, 517, 624, 525, 669, 534, 564, 328, 282, 8633, 269, 19672, 540, 17223, 29821, 630, 6311, 5148, 10001, 269, 4675, 11915, 24466, 1239, 281, 722, 510, 8649, 874, 626, 1756, 282, 966, 269, 6181, 1742, 585, 11632, 17021, 9413, 282, 17886, 269, 16992, 1031, 538, 804, 611, 2065, 2079, 282, 23446, 269, 22414, 2326, 1031, 547, 3009, 3197, 281, 8093, 26908, 282, 24163, 269, 22414, 2326, 1031, 547, 3009, 3197, 281, 10765, 26908, 282, 26577, 269, 12525, 517, 8386, 7302, 541, 1461, 5119, 282, 2473, 269, 3590, 1738, 12191, 282, 2473, 296, 269, 10886, 5688, 31907, 282, 2473, 2862, 269, 3606, 8100, 907, 634, 3758, 849, 2882, 4675, 11915, 22955, 476, 272, 268, 736, 609, 6181, 1742, 269, 630, 14457, 476, 4343, 280, 1626, 737, 321, 994, 763, 3758, 3568, 4675, 11915, 28414, 476, 272, 6029, 11632, 17021, 540, 5778, 322, 3757, 1756, 540, 722, 510, 8649, 874, 626, 1756, 19433, 636, 630, 13696, 26822, 623, 269, 14065, 4343, 282, 632, 868, 1537, 10641, 1040, 1323, 11582, 5956, 609, 5778, 322, 3757, 1756, 538, 1318, 2000, 8632, 2070, 630, 17043, 3042, 2427, 609, 29267, 580, 3603, 10739, 282, 519, 15693, 729, 5762, 3293, 950, 519, 28973, 5627, 519, 3165, 729, 8237, 1070, 1287, 29226, 519, 15693, 476, 11740, 5232, 827, 513, 7299, 7852, 269, 16270, 13059, 547, 1376, 2990, 267, 519, 15693, 29226, 519, 15693, 476, 11740, 5232, 827, 922, 1279, 7852, 267, 6029, 5887, 1537, 267, 2451, 2000, 8632, 630, 2515, 609, 28953, 10739, 1070, 543, 24725, 5784, 269, 10410, 11948, 7508, 2802, 332, 1355, 3148, 543, 1612, 5684, 1156, 1355, 630, 15842, 5287, 1055, 3625, 1040, 589, 1869, 3239, 540, 519, 11632, 17021, 543, 4612, 633, 1899, 5373, 616, 2016, 538, 4675, 11915, 4137, 476, 1015, 269, 589, 8523, 540, 519, 2347, 19494, 568, 3254, 538, 4675, 11915, 4137, 476, 279, 267, 543, 513, 2673, 5346, 540, 519, 15693, 538, 4675, 11915, 4137, 476, 280, 269, 630, 300, 10976, 476, 14065, 280, 737, 321, 994, 763, 3758, 3568, 4675, 11915, 28414, 476, 273, 6029, 11632, 17021, 540, 5778, 322, 3757, 1756, 540, 722, 510, 8649, 874, 626, 1756, 19433, 636, 630, 13696, 26822, 623, 269, 2735, 273, 282, 632, 868, 1537, 10641, 1040, 1323, 11582, 5956, 609, 5778, 322, 3757, 1756, 538, 1318, 2000, 8632, 2070, 630, 17043, 3042, 2427, 609, 29267, 580, 3603, 10739, 282, 519, 15693, 729, 5762, 3293, 950, 519, 28973, 5627, 519, 3165, 729, 8237, 1070, 1287, 29226, 519, 15693, 476, 11740, 5232, 827, 513, 7299, 7852, 269, 16270, 13059, 547, 1376, 2990, 267, 519, 15693, 29226, 519, 15693, 476, 11740, 5232, 827, 922, 1279, 7852, 6029, 5887, 1537, 267, 2451, 2000, 8632, 630, 2515, 609, 28953, 10739, 1070, 543, 24725, 5784, 269, 634, 8545, 5693, 2982, 31443, 6708, 540, 28953, 10739, 269, 589, 1869, 3239, 540, 519, 11632, 17021, 543, 4612, 633, 1899, 5373, 616, 2016, 538, 4675, 11915, 4137, 630, 300, 10976, 476, 13670, 280, 737, 321, 994, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 293, 3072, 2006, 267, 631, 269, 634, 12105, 5169, 540, 6366, 8127, 12623, 11496, 269, 7186, 476, 3393, 275, 267, 476, 20385, 1700, 18891, 630, 1220, 279, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 279, 14672, 1155, 5881, 272, 5400, 454, 301, 7865, 15652, 532, 1851, 1614, 2879, 841, 13001, 324, 908, 15315, 7000, 676, 7202, 819, 12623, 11496, 543, 10352, 2027, 5314, 454, 22711, 540, 10960, 17905, 630, 1708, 272, 994, 288, 638, 20628, 543, 30656, 630, 1708, 271, 264, 0, 2691, 606, 16106, 3576, 30148, 5961, 540, 2342, 689, 519, 4139, 6611, 13749, 713, 1032, 267, 835, 4182, 11542, 856, 2484, 2630, 593, 519, 1000, 1074, 1782, 2627, 540, 519, 3618, 281, 19934, 269, 898, 568, 519, 1152, 2197, 538, 2342, 547, 1832, 5176, 782, 540, 922, 476, 273, 269, 273, 2929, 8265, 7547, 593, 998, 519, 3781, 267, 1818, 621, 513, 1158, 6205, 538, 1769, 5533, 267, 543, 3362, 30753, 1256, 689, 2230, 269, 634, 7613, 814, 1044, 513, 2707, 540, 7759, 545, 2544, 543, 9644, 538, 19934, 585, 5756, 269, 1809, 2094, 519, 2592, 941, 3370, 538, 2904, 267, 930, 723, 849, 13175, 547, 2307, 513, 2241, 855, 9157, 2243, 281, 4208, 286, 634, 4013, 7778, 568, 602, 621, 2337, 4155, 3106, 543, 2488, 3354, 269, 1809, 13915, 8969, 713, 543, 2161, 519, 7613, 24259, 1769, 711, 1152, 593, 19934, 779, 9897, 855, 849, 593, 513, 20102, 19311, 2078, 1851, 922, 14761, 267, 5201, 2733, 12781, 543, 1292, 1648, 18261, 267, 5082, 4599, 601, 269, 19934, 779, 2671, 540, 1648, 689, 5710, 1963, 568, 1472, 476, 278, 269, 279, 2600, 267, 827, 3368, 519, 3864, 5742, 17253, 3328, 267, 1247, 519, 2229, 814, 6905, 2394, 693, 2547, 476, 1708, 276, 5082, 4599, 601, 779, 14998, 585, 5722, 6046, 26119, 602, 4266, 689, 519, 11313, 3583, 338, 563, 6124, 3840, 8648, 476, 1321, 628, 5463, 476, 1001, 278, 1224, 811, 9732, 0, 304, 288, 2839, 288, 11123, 645, 5456, 2894, 301, 8991, 454, 1607, 568, 513, 1360, 2596, 1576, 547, 1451, 547, 5431, 519, 13411, 20845, 609, 5022, 267, 2262, 267, 543, 922, 12332, 269, 1284, 786, 1020, 519, 1053, 547, 2697, 519, 12428, 9904, 269, 2201, 519, 12032, 540, 713, 1576, 267, 1053, 786, 581, 2111, 547, 5431, 543, 1224, 519, 13411, 20845, 563, 304, 7838, 3198, 30426, 5058, 11123, 645, 9680, 2562, 301, 8991, 454, 1607, 1576, 568, 2966, 585, 1053, 945, 723, 1175, 6192, 1627, 288, 2839, 288, 11123, 645, 5456, 2894, 301, 8991, 1576, 543, 666, 1224, 20845, 855, 616, 711, 31402, 538, 2542, 543, 1616, 547, 2087, 741, 2542, 1983, 454, 304, 7838, 3198, 11123, 631, 4932, 3036, 3041, 9569, 454, 1607, 1576, 568, 2966, 585, 4079, 543, 1453, 945, 1616, 547, 27655, 519, 20845, 269, 26643, 616, 5342, 676, 11727, 3610, 543, 670, 4428, 320, 987, 563, 1607, 1576, 568, 2966, 9099, 5525, 585, 8866, 267, 585, 519, 1053, 945, 1616, 547, 917, 9238, 540, 5771, 269, 0, 288, 11001, 693, 519, 2160, 540, 9098, 3427, 540, 6925, 568, 4152, 1018, 646, 7125, 513, 968, 2784, 1227, 1114, 892, 1935, 547, 5883, 1826, 476, 273, 3987, 585, 1346, 945, 666, 1406, 610, 1810, 1406, 1616, 547, 6336, 2597, 563, 25405, 1408, 30532, 267, 12854, 267, 7548, 540, 2618, 17226, 543, 4835, 4915, 267, 1767, 1010, 1982, 968, 13219, 538, 519, 3068, 540, 15007, 1275, 892, 538, 602, 621, 3085, 1406, 31274, 593, 2597, 2530, 607, 513, 1883, 5057, 540, 9013, 1973, 4006, 269, 5502, 267, 621, 10905, 6024, 7280, 5464, 609, 1134, 26455, 4189, 5079, 267, 547, 1174, 519, 1198, 540, 1114, 3536, 593, 1973, 1606, 13610, 2157, 267, 543, 1134, 2389, 574, 539, 3635, 267, 547, 2569, 1346, 2157, 607, 2877, 563, 10527, 15007, 568, 2048, 331, 846, 2597, 10200, 1656, 952, 596, 6336, 2597, 267, 596, 6336, 17987, 3170, 267, 543, 952, 596, 6336, 17987, 3170, 267, 596, 6336, 28539, 846, 5160, 538, 519, 6797, 269, 1656, 602, 267, 538, 2490, 267, 6971, 7378, 4187, 2223, 30532, 1767, 269, 968, 6546, 779, 782, 5386, 543, 1434, 269, 1656, 952, 596, 666, 267, 538, 1249, 267, 6336, 513, 1713, 2179, 540, 2597, 543, 1832, 621, 1055, 585, 513, 1279, 942, 1107, 513, 10715, 1107, 596, 2461, 11344, 269, 1411, 666, 1256, 2322, 3987, 538, 1121, 2153, 269, 1703, 779, 4986, 4636, 609, 602, 1935, 267, 543, 621, 779, 513, 1360, 2500, 1935, 269, 1809, 930, 1004, 1810, 1406, 991, 547, 6336, 2597, 267, 543, 930, 1004, 1810, 1406, 1616, 547, 6336, 2597, 267, 543, 824, 1004, 1616, 547, 6336, 2597, 855, 789, 666, 1406, 267, 610, 789, 666, 1406, 1832, 621, 1055, 585, 513, 10715, 3034, 288, 7756, 6875, 593, 12128, 5004, 454, 290, 2135, 779, 1935, 12346, 593, 6024, 7280, 5464, 547, 948, 1004, 1174, 875, 741, 1426, 5079, 1860, 741, 1973, 4006, 269, 7756, 3536, 949, 1860, 1004, 8335, 267, 646, 4967, 269, 25924, 454, 16676, 6681, 7280, 5464, 3322, 9849, 513, 9300, 593, 519, 1394, 540, 519, 6186, 602, 16111, 15920, 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, 6406, 2782, 1373, 1863, 454, 268, 31130, 5576, 516, 14982, 19758, 968, 13233, 1520, 31019, 12532, 719, 4303, 892, 607, 513, 13085, 8671, 545, 0, 303, 27389, 3599, 543, 11557, 1302, 3690, 4784, 15302, 454, 29189, 1302, 10299, 3676, 666, 12517, 1860, 519, 1072, 540, 707, 796, 9799, 4816, 269, 5680, 13270, 2337, 596, 1174, 31969, 2589, 543, 4220, 1282, 6379, 563, 290, 867, 10552, 30914, 281, 5463, 4575, 6168, 5398, 610, 17721, 5213, 725, 454, 19675, 596, 4871, 707, 10867, 781, 10260, 1973, 286, 9701, 596, 946, 513, 1857, 610, 4357, 10260, 1973, 4871, 286, 5680, 13270, 3947, 596, 1344, 602, 949, 948, 596, 6430, 563, 6781, 12645, 9484, 9653, 630, 13312, 770, 12118, 25351, 328, 994, 16100, 9176, 950, 596, 2461, 711, 286, 1403, 621, 3884, 1406, 3170, 267, 621, 1223, 581, 1019, 770, 12118, 6439, 328, 267, 543, 3635, 949, 1118, 621, 8338, 563, 1432, 1772, 14523, 699, 6996, 529, 3400, 341, 573, 30946, 888, 7476, 519, 5013, 593, 3834, 699, 6996, 529, 28040, 573, 30946, 267, 610, 4049, 6640, 19210, 543, 13481, 1282, 6379, 563, 16158, 13270, 3091, 513, 4199, 1592, 540, 3906, 1644, 547, 6379, 543, 707, 4816, 781, 1072, 563, 5938, 523, 26579, 281, 6481, 24093, 543, 7464, 885, 454, 5938, 523, 6379, 2501, 609, 2189, 2591, 269, 5680, 13270, 5654, 693, 519, 7194, 267, 519, 1072, 4220, 7141, 6379, 13514, 267, 543, 2081, 12322, 666, 2327, 513, 2635, 6379, 563, 11947, 7304, 7416, 26579, 543, 519, 4437, 26491, 28483, 454, 9596, 811, 689, 5680, 13270, 827, 519, 1979, 26491, 9043, 267, 513, 1449, 602, 11974, 19341, 1072, 538, 1164, 16151, 26691, 563, 31863, 8534, 543, 24822, 6713, 454, 16158, 13270, 6941, 519, 5933, 540, 3339, 4074, 543, 6765, 269, 6258, 1018, 547, 2503, 267, 1928, 5574, 267, 543, 519, 6051, 1184, 563, 2750, 2075, 2478, 585, 26579, 454, 16158, 13270, 2488, 11673, 540, 5751, 602, 616, 5363, 1282, 6379, 563, 303, 27389, 3599, 543, 1677, 343, 22914, 2670, 454, 307, 2135, 22914, 2670, 267, 513, 26220, 3968, 267, 568, 1360, 5906, 1282, 6379, 269, 6258, 811, 689, 5680, 13270, 827, 5233, 22914, 2670, 6604, 267, 2589, 267, 543, 2126, 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 ]
[ 13034, 3058, 606, 2799, 2295, 2557, 11065, 805, 3107, 6385, 630, 30104, 1203, 7976, 264, 306, 933, 908, 11053, 516, 3387, 1782, 269, 30342, 4617, 610, 13110, 11053, 709, 1076, 23622, 610, 3206, 827, 4376, 824, 982, 519, 1459, 5855, 21457, 3688, 2507, 31220, 4692, 2566, 543, 4160, 2014, 943, 656, 558, 24462, 888, 4942, 656, 657, 8926, 267, 799, 568, 606, 10153, 16371, 26390, 1588, 267, 3006, 4386, 609, 4160, 269, 898, 666, 2014, 596, 547, 9329, 1945, 602, 3884, 1406, 972, 267, 610, 2864, 267, 513, 9243, 9329, 3587, 18473, 269, 4107, 1419, 267, 713, 29737, 14815, 568, 3361, 676, 31520, 610, 15639, 689, 873, 269, 1717, 267, 3006, 621, 779, 2404, 609, 4160, 563, 1432, 12153, 513, 11784, 4323, 888, 5353, 3164, 2566, 267, 971, 607, 519, 2669, 540, 513, 6068, 835, 267, 16028, 267, 610, 2816, 2530, 666, 849, 9594, 11784, 6285, 269, 7754, 545, 6285, 666, 849, 581, 3361, 676, 2564, 2175, 543, 824, 2168, 3123, 563, 4692, 596, 9329, 2068, 888, 14722, 723, 1336, 602, 19421, 540, 10108, 723, 513, 1880, 9329, 281, 12128, 666, 1118, 707, 10729, 9329, 899, 4232, 1084, 13212, 267, 543, 27193, 1355, 7140, 1560, 17627, 883, 519, 9329, 540, 19323, 3694, 269, 1937, 572, 267, 5835, 8611, 15151, 2306, 707, 2960, 9329, 899, 513, 855, 7815, 779, 6300, 267, 952, 596, 666, 4952, 602, 563, 1432, 798, 596, 9329, 1354, 513, 8482, 888, 4306, 4629, 17395, 610, 2634, 6084, 712, 2589, 723, 1279, 1044, 2404, 609, 519, 12614, 540, 513, 2178, 9329, 971, 607, 26151, 547, 770, 610, 12285, 1107, 799, 1152, 596, 666, 3713, 269, 1323, 4274, 814, 7000, 952, 24412, 2731, 798, 1995, 891, 8966, 4191, 269, 0, 13563, 11872, 585, 4937, 19449, 27218, 281, 4860, 2213, 9990, 454, 20809, 476, 4905, 267, 476, 1220, 272, 454, 275, 269, 10019, 2473, 476, 279, 269, 4962, 2473, 476, 271, 269, 8618, 6279, 1923, 476, 271, 269, 7871, 6550, 454, 292, 7568, 676, 5009, 2835, 454, 292, 7568, 2724, 676, 4687, 707, 5172, 2835, 998, 938, 10500, 559, 5573, 1982, 11065, 22877, 606, 24988, 454, 10666, 519, 8191, 454, 28846, 28726, 729, 4535, 593, 5988, 476, 278, 267, 476, 8687, 273, 267, 538, 8092, 1636, 267, 5800, 22855, 267, 4789, 269, 1261, 5747, 538, 13573, 593, 4873, 476, 280, 267, 476, 6942, 271, 269, 634, 2034, 540, 5216, 1453, 540, 513, 1920, 16111, 12735, 4240, 676, 7963, 267, 519, 1762, 28726, 3357, 547, 917, 711, 1152, 14000, 543, 3051, 566, 267, 855, 849, 519, 16897, 540, 519, 25337, 7963, 832, 262, 7890, 543, 519, 859, 2812, 540, 1126, 4074, 269, 589, 2490, 540, 19539, 538, 519, 3337, 540, 513, 9371, 4547, 5305, 689, 519, 3781, 332, 732, 540, 7890, 543, 834, 16435, 1511, 257, 15327, 543, 6488, 539, 28726, 519, 4316, 540, 1079, 1296, 262, 6101, 18375, 693, 654, 2454, 2023, 5600, 9142, 269, 1261, 5249, 607, 606, 18607, 781, 804, 17064, 543, 11356, 27680, 2394, 1010, 4787, 564, 2583, 676, 4425, 345, 630, 8146, 277, 264, 543, 634, 17292, 19213, 14430, 630, 8146, 278, 264, 4547, 1864, 519, 5863, 543, 8216, 1967, 602, 729, 547, 581, 1010, 585, 519, 14230, 540, 1010, 1272, 269, 769, 2663, 1296, 267, 519, 2604, 540, 17626, 1603, 267, 21107, 11645, 267, 15872, 267, 543, 1514, 19647, 3366, 547, 1010, 9668, 689, 21965, 670, 690, 14390, 1310, 8938, 31644, 1296, 540, 7365, 269, 898, 849, 26558, 2989, 1010, 2669, 693, 519, 2085, 540, 15823, 32732, 267, 950, 646, 729, 1915, 12264, 7722, 538, 513, 21318, 540, 960, 269, 4793, 878, 807, 769, 724, 600, 568, 18947, 3194, 29533, 543, 24153, 693, 853, 14732, 781, 5441, 267, 10228, 269, 2701, 814, 2854, 593, 519, 16972, 3209, 543, 593, 10434, 344, 538, 1880, 269, 1352, 568, 519, 4937, 15503, 540, 782, 10434, 344, 781, 5708, 538, 519, 31919, 4147, 923, 543, 814, 12995, 717, 2532, 749, 781, 3345, 543, 3162, 585, 519, 3126, 269, 0, 1103, 1840, 649, 666, 2161, 540, 519, 1297, 476, 28526, 275, 602, 621, 568, 1256, 454, 28526, 275, 568, 606, 1256, 1297, 267, 607, 621, 568, 16883, 676, 476, 273, 2433, 476, 28526, 275, 270, 273, 815, 476, 26297, 278, 454, 763, 2188, 585, 476, 28526, 275, 616, 782, 519, 2338, 1063, 910, 28526, 275, 543, 476, 28526, 275, 2073, 799, 7941, 476, 28526, 275, 1510, 6028, 1022, 14230, 269, 4595, 476, 28526, 275, 5258, 676, 910, 28526, 275, 568, 606, 8870, 267, 910, 28526, 275, 568, 513, 3815, 540, 476, 28526, 275, 4586, 7712, 476, 28526, 275, 5258, 676, 910, 28526, 275, 568, 513, 2898, 1297, 267, 910, 28526, 275, 568, 513, 3815, 540, 476, 28526, 275, 454, 7712, 476, 28526, 275, 5258, 676, 910, 26297, 278, 568, 513, 2898, 1297, 267, 910, 26297, 278, 568, 513, 3815, 540, 476, 28526, 275, 454, 7712, 476, 28526, 275, 5258, 676, 910, 273, 568, 513, 2898, 1297, 267, 910, 273, 568, 513, 3815, 540, 476, 28526, 275, 454, 7712, 476, 28526, 275, 5258, 676, 910, 272, 568, 513, 2898, 1297, 267, 910, 272, 568, 513, 3815, 540, 476, 28526, 275, 454, 25648, 1255, 540, 476, 28526, 275, 616, 782, 9981, 16883, 676, 476, 28526, 275, 2073, 1775, 4318, 269, 519, 14230, 540, 519, 2407, 6498, 676, 476, 28526, 275, 568, 4642, 269, 1703, 616, 12808, 23385, 540, 476, 28526, 275, 269, 634, 10545, 23385, 540, 476, 28526, 275, 616, 912, 2005, 568, 2009, 547, 3313, 1210, 6310, 2553, 2436, 606, 8870, 568, 6305, 610, 711, 563, 1721, 476, 28526, 275, 267, 519, 2626, 568, 281, 3143, 267, 476, 28526, 275, 568, 711, 513, 6305, 1297, 563, 2414, 917, 519, 2215, 1275, 540, 606, 8870, 267, 649, 666, 946, 1896, 6620, 269, 634, 1034, 14255, 633, 568, 547, 2119, 782, 16975, 2630, 519, 1297, 596, 1616, 547, 917, 952, 621, 568, 6305, 630, 514, 938, 2013, 476, 28526, 275, 1040, 1284, 666, 2907, 9004, 1256, 2338, 8273, 982, 476, 273, 630, 6533, 476, 275, 2073, 476, 277, 2073, 476, 279, 3267, 1040, 14755, 267, 649, 666, 3247, 693, 519, 4009, 3597, 540, 519, 1297, 538, 2243, 630, 1877, 476, 6858, 269, 28178, 15426, 25214, 267, 519, 661, 7806, 739, 1156, 525, 5496, 630, 6518, 7389, 1394, 547, 4165, 18709, 264, 3096, 713, 4480, 5266, 3927, 563, 5415, 2413, 2553, 1331, 519, 2311, 7219, 5496, 267, 2625, 8494, 2065, 4255, 267, 610, 519, 7814, 582, 5669, 1449, 563, 28095, 6305, 1297, 281, 476, 3393, 273, 274, 454, 9202, 6305, 1297, 281, 476, 3393, 275, 278, 0, 14457, 1923, 2201, 3967, 476, 272, 267, 2073, 8834, 20484, 543, 1866, 3370, 5623, 540, 21096, 4668, 715, 308, 2793, 301, 281, 27588, 570, 3696, 585, 519, 4004, 545, 894, 15858, 269, 11062, 269, 2433, 27588, 570, 3696, 585, 519, 4004, 545, 894, 15858, 630, 23173, 8822, 5678, 9752, 7732, 264, 630, 2567, 6424, 715, 684, 534, 281, 7734, 269, 23370, 22218, 5058, 570, 3008, 16775, 11123, 5990, 25265, 7419, 32177, 20937, 14160, 19798, 4629, 6865, 269, 6424, 715, 684, 534, 269, 11062, 281, 11062, 2160, 4964, 267, 623, 335, 269, 1535, 30492, 347, 13775, 630, 8310, 2567, 1475, 1556, 5412, 476, 1220, 279, 2008, 347, 14457, 11711, 12025, 10573, 1428, 269, 10463, 25253, 2008, 347, 324, 8530, 11711, 12025, 10573, 1691, 269, 7871, 25253, 2008, 347, 25820, 10573, 10403, 265, 1496, 265, 10403, 3204, 338, 527, 1674, 22490, 316, 2008, 5415, 5063, 267, 621, 814, 1044, 6700, 602, 693, 519, 1360, 5934, 513, 6437, 1058, 2709, 519, 1739, 281, 6733, 998, 707, 1378, 27132, 540, 2238, 585, 5711, 5872, 610, 4983, 513, 1576, 1504, 596, 723, 1031, 610, 616, 3206, 540, 1210, 663, 1265, 1806, 540, 1142, 540, 891, 2534, 2010, 269, 6176, 827, 519, 13260, 540, 2360, 538, 18312, 8658, 543, 593, 1114, 10453, 543, 606, 1620, 540, 519, 3123, 540, 519, 8390, 269, 22996, 616, 849, 9415, 547, 2333, 741, 2542, 3432, 267, 543, 547, 1020, 8465, 2542, 2994, 538, 1880, 267, 17655, 585, 1808, 1344, 267, 543, 1236, 21148, 585, 606, 7650, 540, 519, 1257, 563, 14197, 2296, 28924, 16086, 5071, 563, 7075, 2996, 616, 6026, 547, 18505, 519, 2495, 540, 7164, 2609, 267, 547, 1174, 1894, 1369, 519, 4845, 538, 1880, 267, 547, 2697, 1641, 543, 2357, 7171, 547, 3095, 5220, 543, 2093, 267, 3226, 1346, 799, 616, 1129, 6817, 676, 22122, 269, 6744, 707, 4267, 609, 1346, 540, 1776, 6292, 269, 769, 3848, 476, 274, 649, 1413, 693, 519, 3844, 4162, 540, 4247, 543, 513, 10325, 568, 4843, 585, 30228, 4247, 269, 12983, 11341, 547, 4305, 7411, 543, 21249, 616, 3144, 909, 538, 3848, 476, 276, 563, 8967, 3855, 898, 779, 936, 547, 596, 533, 269, 3973, 2638, 873, 609, 519, 4116, 269, 8058, 532, 540, 476, 272, 8039, 269, 1677, 1018, 6708, 616, 891, 1483, 8996, 610, 15338, 690, 545, 2238, 286, 15043, 7335, 10341, 267, 6032, 563, 4910, 738, 540, 2792, 4325, 5474, 3035, 741, 6663, 282, 789, 1205, 1018, 789, 4941, 267, 606, 1344, 7934, 568, 4904, 267, 513, 1966, 568, 12193, 267, 513, 3375, 568, 6603, 610, 513, 1514, 3346, 568, 1500, 267, 804, 1314, 338, 3336, 269, 2353, 9308, 543, 15508, 3339, 546, 822, 617, 1451, 547, 3717, 513, 1893, 269, 1703, 729, 513, 1966, 19003, 8039, 1318, 1631, 563, 13295, 267, 1806, 540, 4247, 1331, 7206, 513, 20545, 267, 19703, 513, 1126, 267, 11423, 856, 513, 1106, 267, 9140, 513, 6292, 540, 10887, 267, 1818, 606, 29617, 30063, 267, 24228, 513, 5399, 1433, 267, 2921, 513, 6117, 1449, 267, 17511, 513, 4484, 267, 20604, 513, 3461, 267, 18570, 5022, 267, 2921, 513, 15678, 30063, 267, 1603, 513, 1750, 4302, 267, 4466, 513, 8265, 10278, 543, 4543, 2576, 2066, 513, 4155, 269, 1403, 972, 568, 942, 267, 1689, 5107, 602, 568, 267, 519, 5967, 518, 1058, 1631, 581, 26906, 563, 19138, 519, 1079, 8747, 267, 6430, 799, 596, 899, 1655, 543, 1946, 269, 1548, 616, 519, 3334, 540, 513, 4305, 286, 5192, 3728, 267, 1863, 11288, 609, 8835, 11788, 269, 27672, 849, 1362, 5809, 6947, 4247, 2687, 547, 2436, 789, 2154, 519, 15226, 547, 4497, 538, 2048, 321, 18847, 5346, 685, 610, 2048, 9008, 16365, 685, 4393, 269, 1975, 7505, 1893, 267, 593, 519, 824, 1688, 267, 5161, 540, 2110, 267, 1419, 23650, 776, 19039, 1734, 267, 538, 513, 2039, 540, 5731, 9629, 725, 269, 21988, 1603, 1287, 3322, 281, 594, 1694, 899, 602, 476, 1724, 543, 519, 6467, 4580, 779, 972, 543, 1352, 18795, 593, 476, 1691, 519, 11380, 476, 272, 476, 276, 19315, 596, 666, 1406, 4413, 1200, 1352, 15211, 5180, 476, 1626, 2469, 23972, 476, 272, 476, 278, 24956, 545, 3690, 5296, 1352, 779, 2141, 972, 538, 519, 2849, 2443, 19315, 1352, 779, 8799, 281, 11524, 585, 1383, 267, 681, 9801, 268, 585, 323, 3494, 602, 513, 10409, 1445, 267, 538, 519, 1106, 540, 21342, 9637, 268, 24597, 2238, 267, 1058, 581, 11368, 883, 4305, 1374, 563, 23804, 519, 2048, 15957, 812, 856, 685, 538, 513, 2016, 1305, 540, 3615, 610, 513, 9286, 1592, 269, 6904, 540, 519, 12222, 1305, 856, 538, 713, 3296, 14687, 1034, 5702, 547, 707, 1378, 2070, 286, 8835, 5822, 26554, 10426, 621, 593, 267, 4123, 621, 538, 267, 2285, 621, 513, 2034, 1272, 269, 1284, 1131, 849, 3313, 799, 3344, 540, 519, 1543, 6267, 1131, 991, 547, 4497, 538, 547, 2347, 519, 4305, 6707, 269, 2480, 1335, 320, 3069, 543, 2542, 2290, 1713, 9295, 547, 2542, 3177, 676, 519, 1283, 16365, 1153, 814, 1044, 547, 1397, 519, 2956, 540, 4282, 1702, 547, 519, 2542, 1184, 563, 7617, 10325, 568, 14191, 547, 707, 1378, 1935, 547, 519, 3450, 540, 2542, 286, 15858, 3610, 267, 585, 3236, 267, 616, 3622, 4843, 609, 6437, 4808, 610, 5036, 540, 21038, 16551, 267, 543, 616, 2838, 547, 1020, 741, 6030, 543, 15961, 689, 891, 563, 2171, 4927, 11338, 711, 6336, 8289, 540, 519, 3310, 540, 5468, 267, 1519, 1514, 2146, 267, 543, 519, 13766, 585, 5955, 269, 7844, 268, 19388, 543, 30487, 5822, 5678, 21733, 9974, 563, 7468, 514, 3321, 585, 519, 1646, 540, 513, 3450, 4640, 1107, 875, 621, 568, 547, 581, 4121, 543, 6026, 269, 1284, 751, 4558, 519, 2495, 521, 540, 519, 5048, 2864, 982, 519, 3029, 538, 799, 891, 616, 23876, 563, 17637, 532, 570, 3696, 585, 519, 4004, 545, 894, 15858, 1107, 6424, 715, 684, 534, 1107, 5616, 7734, 454, 11854, 5474, 723, 513, 1514, 610, 2123, 2601, 547, 3717, 269, 4475, 267, 621, 568, 1419 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21376, 2628, 547, 16543, 543, 1875, 19351, 2572, 3257, 3160, 960, 269, 6969, 519, 2112, 267, 519, 3979, 1977, 2551, 1185, 1044, 5631, 7013, 267, 6917, 267, 543, 6694, 282, 1369, 513, 1906, 1296, 267, 513, 8101, 6871, 540, 3979, 4892, 941, 7187, 267, 4683, 267, 543, 4853, 269, 2755, 7130, 538, 519, 9036, 729, 15991, 17515, 267, 7466, 607, 1082, 17051, 4371, 9952, 6009, 693, 519, 1439, 540, 519, 2112, 607, 693, 519, 4098, 269, 634, 5087, 1189, 9194, 540, 3979, 4892, 18965, 519, 8375, 7569, 585, 7292, 7862, 269, 1306, 5176, 476, 16020, 267, 1822, 17051, 882, 11343, 547, 7187, 4872, 267, 1082, 2283, 539, 519, 7872, 540, 2797, 1379, 585, 519, 1101, 942, 538, 741, 2729, 563, 295, 558, 26557, 814, 711, 2141, 1044, 5941, 593, 8613, 269, 898, 729, 2899, 2808, 513, 9184, 5622, 1888, 855, 2899, 519, 15978, 15435, 5734, 538, 519, 2038, 476, 2735, 271, 779, 32270, 729, 10876, 269, 7486, 25266, 729, 29805, 519, 968, 326, 599, 2068, 892, 543, 1291, 547, 1454, 14447, 13842, 593, 1312, 8613, 543, 538, 1857, 630, 294, 1484, 476, 13970, 1040, 22985, 2367, 543, 2021, 593, 7641, 941, 17814, 607, 5409, 25757, 7919, 602, 964, 5703, 547, 4579, 713, 15265, 4576, 269, 898, 7012, 1406, 2394, 519, 3735, 476, 3445, 779, 609, 2982, 971, 513, 4024, 543, 24553, 543, 14886, 602, 7641, 779, 24575, 540, 32270, 4957, 689, 2942, 547, 2318, 563, 2026, 519, 7260, 5129, 856, 267, 1152, 519, 14447, 2078, 540, 19811, 1299, 19664, 2731, 13084, 16845, 936, 782, 1866, 267, 585, 693, 19664, 779, 24133, 3028, 267, 18531, 941, 2016, 827, 519, 1390, 1272, 646, 1185, 543, 875, 789, 24714, 789, 1223, 723, 519, 1482, 269, 8861, 5576, 592, 2006, 593, 519, 14669, 2829, 968, 305, 550, 5693, 20186, 513, 1158, 538, 799, 10636, 18400, 2648, 568, 3020, 2648, 269, 13067, 18400, 2648, 6818, 855, 568, 20244, 6281, 538, 602, 568, 2901, 798, 15701, 610, 13719, 610, 1312, 1848, 630, 7704, 305, 1040, 594, 1131, 723, 547, 9244, 10990, 609, 5576, 592, 2006, 267, 585, 594, 3494, 1352, 3576, 519, 7260, 856, 540, 2796, 269, 700, 1513, 517, 1705, 711, 3483, 569, 6146, 1055, 21425, 543, 1118, 519, 2078, 540, 8575, 675, 523, 1299, 11835, 22828, 2352, 547, 1448, 856, 602, 28305, 3347, 3085, 1406, 2063, 267, 621, 779, 1175, 519, 1259, 519, 7260, 4682, 563, 1607, 568, 1317, 1004, 782, 936, 519, 1158, 616, 9286, 676, 891, 1919, 267, 711, 1175, 4892, 269, 6884, 891, 28944, 616, 17697, 569, 610, 12799, 6829, 538, 13922, 540, 9319, 7130, 269, 1280, 3236, 267, 1250, 3158, 1152, 4422, 547, 14447, 2367, 547, 1205, 1200, 17539, 2944, 269, 901, 568, 1317, 899, 1082, 4892, 1352, 11099, 602, 14447, 2367, 616, 1390, 5430, 5471, 5505, 269, 8921, 1514, 1362, 568, 17697, 569, 4857, 563, 9617, 519, 10158, 1284, 3657, 15526, 2219, 602, 972, 616, 2147, 3604, 1063, 9038, 543, 8951, 269, 5637, 25469, 616, 1114, 998, 741, 1514, 267, 3929, 543, 7214, 7907, 269, 13834, 5107, 3310, 2021, 543, 2367, 538, 12303, 1169, 1858, 540, 1272, 1519, 1920, 543, 13567, 267, 855, 616, 2021, 543, 2367, 1641, 547, 1114, 5107, 610, 2623, 6788, 286, 13834, 1909, 676, 4214, 568, 2223, 519, 1857, 3239, 540, 1373, 5256, 610, 4775, 602, 513, 1268, 6799, 547, 1866, 1848, 630, 291, 5315, 2593, 1040, 769, 2038, 1977, 2528, 621, 729, 1455, 585, 513, 2021, 779, 2816, 547, 581, 606, 1073, 539, 1304, 2777, 342, 1057, 538, 2312, 4334, 547, 519, 5256, 779, 10279, 547, 581, 513, 2816, 23649, 563, 296, 723, 1082, 14447, 2828, 543, 594, 2648, 873, 1175, 607, 1454, 607, 594, 1131, 1250, 824, 2828, 945, 616, 711, 14447, 269, 594, 798, 711, 9794, 269, 1261, 5143, 803, 602, 968, 296, 2877, 547, 581, 811, 1930, 2247, 539, 267, 543, 602, 1250, 7778, 1500, 1100, 2631, 6100, 634, 2034, 2797, 7521, 649, 1185, 729, 827, 16377, 269, 1403, 513, 2021, 568, 986, 6244, 1287, 9811, 789, 1058, 581, 4847, 547, 723, 835, 267, 2705, 282, 952, 513, 4807, 4422, 856, 814, 796, 31695, 3023, 593, 3483, 267, 543, 4991, 9176, 1352, 1058, 723, 547, 4308, 609, 519, 4539, 1352, 1500, 3079, 540, 15294, 1359, 513, 4816, 563, 763, 9406, 547, 581, 26321, 5994, 711, 556, 12686, 519, 2640, 540, 2261, 11538, 513, 6068, 835, 610, 3478, 5828, 1524, 693, 513, 2816, 5967, 711, 1317, 540, 707, 16056, 855, 1317, 540, 707, 4638, 10066, 269, 5994, 2713, 513, 9114, 547, 1118, 1866, 6126, 543, 24320, 2358, 3054, 547, 581, 519, 4998, 1480, 1373, 538, 519, 4064, 540, 2486, 267, 782, 1317, 1373, 513, 28305, 568, 1114, 269, 4014, 2924, 585, 28305, 338, 723, 4824, 513, 1390, 4308, 267, 519, 14447, 2146, 568, 1419, 1869, 535, 27547, 2390, 543, 19330, 7862, 269, 13067, 18400, 19824, 991, 547, 3136, 547, 581, 6444, 543, 6035, 519, 1482, 2924, 607, 10636, 18400, 338, 269, 2353, 1004, 17330, 519, 1318, 547, 1272, 267, 15698, 543, 8788, 267, 7488, 540, 741, 4638, 10066, 269, 0, 763, 2257, 540, 5162, 3859, 8470, 3977, 454, 3080, 540, 519, 17888, 14868, 827, 3859, 8440, 568, 602, 789, 798, 711, 960, 1134, 538, 5162, 269, 901, 568, 711, 3020, 269, 13689, 593, 1141, 596, 2661, 538, 5245, 267, 3859, 8440, 1522, 1256, 1685, 1732, 1282, 519, 4411, 3379, 547, 4832, 269, 769, 16817, 267, 585, 1383, 267, 3859, 4398, 10607, 950, 519, 6607, 568, 3579, 543, 2312, 3379, 547, 950, 621, 779, 31063, 543, 7088, 344, 269, 4634, 538, 2630, 6954, 4506, 4365, 267, 3859, 8440, 616, 2111, 547, 6460, 7943, 883, 2204, 762, 5201, 585, 707, 1753, 563, 1692, 568, 621, 2009, 602, 3859, 8440, 666, 960, 1134, 538, 3579, 4365, 888, 23530, 8440, 960, 676, 3850, 5536, 540, 1769, 1572, 22726, 547, 4894, 9211, 689, 8444, 267, 799, 12958, 5201, 269, 901, 1184, 568, 1572, 2048, 1410, 322, 1746, 685, 606, 6475, 269, 1879, 3859, 8440, 1205, 3905, 267, 3875, 9211, 1205, 1932, 2048, 1410, 322, 1243, 685, 799, 11081, 519, 3859, 8470, 779, 2949, 6453, 269, 4438, 5162, 267, 3859, 8470, 2837, 568, 711, 3905, 2614, 547, 936, 7721, 322, 924, 891, 9211, 563, 290, 1245, 4365, 786, 711, 1764, 707, 3859, 8440, 1317, 789, 7048, 593, 1769, 543, 711, 3002, 269, 4438, 5162, 267, 3859, 8440, 1205, 519, 1482, 2179, 540, 11158, 1769, 689, 519, 3141, 607, 789, 798, 538, 519, 4832, 269, 15346, 4365, 543, 2312, 22839, 616, 6099, 4365, 2175, 585, 14291, 3141, 12345, 883, 5201, 269, 769, 1249, 267, 3002, 666, 960, 1996, 596, 1107, 519, 28555, 519, 3859, 8440, 267, 519, 8338, 789, 1685, 269, 28246, 3002, 666, 2569, 1648, 3977, 538, 1022, 3859, 8470, 1062, 563, 4913, 267, 6531, 3382, 543, 10156, 2395, 538, 519, 5162, 798, 1860, 3859, 1379, 2504, 269, 769, 1840, 267, 519, 3141, 18795, 827, 1614, 5232, 2539, 2097, 5162, 267, 865, 707, 8440, 616, 3478, 1447, 2298, 1769, 269, 1809, 596, 666, 1869, 2503, 1472, 476, 4649, 1107, 476, 4037, 260, 540, 519, 1648, 2504, 1282, 519, 4832, 3275, 563, 1607, 568, 1946, 519, 10380, 17568, 568, 4105, 269, 1403, 596, 2661, 538, 513, 4411, 2749, 267, 707, 3888, 518, 1058, 1747, 519, 3859, 8440, 693, 606, 5086, 602, 568, 5688, 2213, 547, 519, 4389, 3108, 540, 7943, 2097, 5162, 563, 1692, 1454, 1648, 798, 3859, 8440, 5352, 538, 5162, 888, 763, 6099, 2837, 585, 3859, 8440, 568, 476, 1839, 9180, 1107, 4376, 2362, 982, 602, 267, 543, 789, 2253, 547, 6336, 4398, 269, 634, 2949, 4398, 540, 3859, 8440, 11081, 676, 476, 271, 269, 276, 260, 1169, 942, 519, 2837, 4422, 909, 513, 4110, 269, 901, 1797, 602, 950, 519, 2011, 2837, 568, 693, 476, 3374, 5232, 267, 519, 4398, 540, 707, 3859, 8470, 12772, 676, 476, 276, 10065, 9717, 602, 519, 3328, 5162, 2837, 538, 5245, 568, 476, 1704, 9180, 267, 621, 568, 12691, 602, 3859, 8440, 786, 1205, 1932, 3905, 563, 4913, 267, 2395, 616, 10156, 267, 543, 972, 568, 811, 6531, 3795, 1282, 5162, 1107, 799, 1797, 1447, 7943, 269, 9891, 8470, 2773, 666, 6749, 676, 476, 273, 1107, 476, 1428, 260, 538, 519, 4411, 3275, 267, 4470, 593, 1141, 596, 2661, 267, 875, 707, 8440, 616, 21266, 1540, 267, 543, 875, 1454, 13897, 814, 19017, 593, 519, 8470, 2627, 563, 4002, 3328, 267, 513, 476, 276, 330, 310, 1062, 666, 5352, 476, 736, 330, 2662, 513, 1554, 538, 4832, 543, 476, 1724, 330, 2662, 513, 1554, 538, 5162, 269, 9891, 8470, 2773, 568, 693, 922, 8445, 950, 519, 2837, 568, 3579, 267, 543, 972, 568, 8766, 6531, 3795, 563, 4692, 3859, 9075, 948, 888, 1103, 930, 4872, 267, 5230, 6531, 3795, 666, 979, 593, 585, 4374, 1107, 6028, 596, 609, 2370, 547, 1100, 7943, 693, 782, 269, 634, 3501, 3070, 585, 936, 4751, 2395, 568, 519, 3859, 6007, 563, 23530, 9075, 616, 513, 1390, 1259, 547, 4558, 3859, 1648, 543, 2327, 6099, 4398, 538, 5162, 269, 7102, 4430, 1379, 602, 519, 8440, 5352, 1282, 4832, 568, 6740, 538, 513, 3859, 6007, 267, 865, 6531, 3795, 1281, 711, 1860, 3859, 1648, 3977, 269, 2060, 519, 3617, 3859, 6007, 267, 707, 3959, 814, 519, 1761, 547, 1831, 513, 1582, 1606, 11211, 5117, 602, 568, 7357, 4830, 540, 7470, 1379, 563, 5278, 8241, 21427, 1904, 585, 3049, 2987, 29388, 1141, 1022, 4430, 1379, 6383, 676, 519, 3859, 1062, 568, 4421, 1394, 547, 519, 1379, 2754, 269, 10251, 267, 1082, 10820, 1439, 909, 11449, 602, 1482, 1379, 1394, 689, 519, 7470, 693, 513, 2362, 3902, 982, 950, 789, 4421, 621, 563, 4002, 519, 824, 1688, 267, 3859, 9075, 711, 1152, 4558, 3859, 1648, 689, 707, 13566, 2395, 538, 7041, 585, 31063, 3283, 855, 849, 1683, 19307, 1379, 585, 707, 1753, 538, 2013, 540, 513, 3109, 719, 563, 1692, 547, 4688, 3859, 1379, 1282, 5162, 454, 2467, 616, 1082, 2081, 547, 4688, 3859, 1379, 1282, 5162, 267, 971, 607, 519, 2081, 7396, 2630, 1107, 4019, 891, 2994, 547, 948, 2569, 707, 16126, 593, 3859, 9075, 543, 2327, 513, 6024, 1379, 3761, 2429, 5162, 912, 268, 5269, 513, 1592, 540, 519, 1379, 12773, 540, 782, 707, 7622, 14233, 865, 596, 666, 4188, 707, 1648, 4616, 563, 268, 7827, 1164, 2914, 3430, 720, 15620, 547, 10896, 8279, 563, 268, 29766, 610, 5372, 28537, 3457, 563, 268, 1744, 583, 1524, 5907, 3457, 950, 789, 616, 711, 538, 946, 563, 268, 1234, 8408, 707, 5907, 3457, 1282, 519, 1554, 950, 519, 3859, 8440, 5352, 811, 1648, 563, 268, 853, 16925, 519, 946, 540, 1164, 20589, 14233, 865, 607, 711, 547, 6633, 998, 519, 1379, 3761, 563, 3383, 267, 1058, 596, 5855, 827, 3859, 8470, 2773, 1282, 5162, 888, 4407, 936, 4751, 22839, 666, 2569, 519, 2179, 540, 7943, 707, 8440, 616, 3478, 267, 3859, 1379, 3788, 606, 2500, 543, 4264, 1648, 2707, 1256, 538, 24925, 267, 4411, 16374, 269, 1717, 267, 952, 4057, 4365, 2175, 616, 7928, 538, 707, 1858, 267, 596, 1058, 2015, 10115, 538, 3859, 6007, 4859, 563, 763, 1655, 1259, 547, 3927, 4688, 3859, 1379, 1282, 5162, 568, 547, 6895, 707, 1648, 4616, 543, 2936, 1379, 22766, 3800, 538, 707, 1753, 269, 6875, 4063, 540, 519, 2053, 950, 519, 3141, 568, 856, 543, 950, 7622, 4616, 568, 693, 922, 8445, 269, 769, 1840, 267, 5329, 707, 3859, 8440, 1863, 689, 13897, 543, 7452, 849, 4679, 741, 2949, 4398, 269, 1306, 1279, 607, 1463, 7943, 16125, 707, 3859, 8440, 609, 606, 9205, 2837, 2539, 982, 476, 1839, 9180, 267, 1287, 2503, 707, 1062, 547, 7500, 693, 5021, 4398, 563, 7476, 707, 3859, 8440, 1305, 909, 7157, 267, 609, 25069, 577, 9891, 454, 30509, 689, 4389, 21765, 3108, 267, 519, 2539, 3859, 3977, 1282, 5162, 568, 1813, 547, 519, 1016, 268, 9953, 2711, 5086, 540, 519, 3141, 269, 901, 568, 1141, 513, 3860, 543, 22111, 3859, 3888, 518, 2501, 538, 269, 3371, 693, 25069, 577, 9891, 267, 649, 2015, 519, 4365, 2175, 538, 707, 1858, 950, 521, 1944, 513, 3859, 8470, 1062, 585, 707, 2115, 547, 2327, 602, 707, 1920, 814, 2614, 5201, 950, 621, 6238, 547, 1205, 4411, 538, 4873, 269, 13185, 547, 835, 540, 938, 3859, 10380, 4966, 2221, 865, 596, 666, 1865, 707, 3859, 4170, 585, 5162, 610, 2638, 856, 938, 3573, 2039, 540, 3859, 3681, 269, 11910, 721, 593, 476, 6349, 476, 32076, 278, 476, 28091, 275, 267, 3643, 721, 693, 20842, 27700, 338, 6897, 2593, 28898, 267, 610, 4945, 1934, 547, 6494, 721 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5705, 641, 923, 676, 4946, 4130, 8371, 543, 1000, 12127, 269, 6969, 1279, 267, 596, 3513, 1294, 606, 6946, 3060, 540, 10562, 2093, 2921, 3337, 780, 2690, 1383, 267, 952, 938, 1292, 1888, 941, 834, 288, 4303, 693, 3427, 2437, 1376, 609, 602, 8360, 2854, 538, 2462, 5022, 538, 519, 4099, 540, 707, 2985, 269, 3973, 2721, 8371, 8204, 1585, 2694, 540, 707, 1554, 971, 607, 14254, 267, 4630, 3266, 558, 267, 2257, 1362, 267, 12899, 5503, 267, 3092, 1421, 4553, 676, 5705, 641, 923, 896, 873, 269, 6423, 875, 2241, 2943, 3532, 713, 4480, 666, 581, 2496, 1262, 274, 269, 16514, 8871, 14186, 26279, 15919, 3168, 693, 5961, 666, 8141, 6909, 1650, 2093, 269, 20283, 930, 17476, 267, 2835, 267, 610, 1820, 8083, 5627, 2592, 602, 6952, 707, 3750, 269, 7994, 835, 3239, 14477, 543, 2307, 3054, 2055, 827, 621, 269, 5808, 616, 891, 1004, 286, 7316, 1705, 789, 2097, 689, 286, 4208, 616, 789, 3257, 602, 20868, 3364, 936, 972, 286, 14190, 707, 9345, 547, 2196, 3552, 2439, 2080, 781, 606, 1383, 1210, 513, 4605, 540, 513, 12357, 2025, 14500, 1282, 23863, 281, 834, 3963, 1281, 519, 27959, 2661, 4805, 538, 971, 513, 5458, 1747, 286, 6496, 1352, 917, 827, 519, 15293, 15555, 1819, 547, 20807, 1200, 31508, 1169, 2407, 7599, 3781, 286, 9320, 1352, 25395, 513, 16618, 14951, 4786, 3330, 1200, 20516, 781, 19701, 1862, 1809, 1287, 1586, 267, 6148, 4986, 4523, 693, 782, 15323, 8855, 267, 3025, 814, 513, 2027, 10516, 585, 3860, 1603, 1369, 2933, 269, 2353, 596, 991, 547, 798, 568, 7148, 883, 621, 998, 8026, 891, 23730, 2553, 5781, 269, 1924, 10544, 707, 15513, 2013, 267, 2322, 593, 707, 3206, 1698, 267, 543, 1205, 4712, 547, 7832, 593, 513, 13858, 7045, 609, 707, 3970, 1652, 5876, 256, 8414, 1603, 267, 1250, 27503, 4589, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24478, 633, 1603, 568, 811, 982, 1175, 8380, 1913, 593, 1957, 269, 898, 3322, 13167, 8903, 6386, 267, 2870, 12667, 3197, 267, 543, 859, 3183, 4664, 538, 707, 3988, 269, 1635, 28798, 707, 3860, 1603, 1983, 267, 596, 666, 25407, 707, 5304, 543, 4734, 513, 9434, 1764, 609, 707, 1913, 269, 6787, 596, 2461, 606, 14971, 29787, 267, 513, 5816, 3455, 267, 610, 2576, 945, 3274, 21593, 1603, 267, 972, 616, 1896, 2081, 596, 666, 3986, 707, 3860, 1603, 1983, 269, 769, 713, 2376, 267, 649, 786, 2263, 930, 2500, 2994, 547, 948, 596, 2087, 707, 3860, 1603, 5759, 543, 25793, 1662, 707, 6418, 1913, 19431, 563, 308, 2955, 519, 17943, 454, 6524, 18167, 883, 4359, 2553, 267, 621, 779, 1898, 547, 723, 513, 2178, 5748, 538, 519, 9238, 540, 1603, 269, 901, 2882, 1620, 6863, 267, 8239, 267, 4845, 2497, 267, 543, 18685, 563, 309, 665, 5879, 543, 18049, 454, 22091, 21505, 707, 6863, 543, 5355, 707, 9787, 540, 8239, 786, 1450, 596, 547, 6655, 707, 2093, 811, 10502, 269, 3367, 14916, 543, 1118, 513, 4356, 540, 1565, 1007, 1913, 269, 5410, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31416, 10445, 532, 9828, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 27065, 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, 674, 5424, 20099, 5811, 281, 1133, 24286, 9608, 3004, 1080, 543, 20121, 4176, 998, 1912, 531, 1052, 1160, 1636, 687, 692, 1103, 519, 7706, 540, 2820, 1588, 543, 13869, 3588, 267, 9416, 3259, 2079, 267, 849, 1634, 607, 1750, 328, 14347, 610, 16584, 4592, 4451, 267, 3091, 10578, 4030, 883, 606, 1367, 781, 7209, 7592, 267, 15421, 267, 543, 1761, 1272, 2619, 269, 1635, 6313, 519, 14354, 13080, 540, 1114, 6810, 540, 11263, 267, 9439, 666, 1118, 11236, 827, 1585, 3344, 540, 606, 1367, 781, 1915, 543, 22038, 269, 769, 713, 3184, 267, 649, 786, 5490, 7184, 883, 519, 1686, 267, 2553, 267, 12496, 267, 543, 27900, 4478, 9416, 3259, 2079, 269, 1284, 786, 2263, 875, 2413, 3621, 1382, 12969, 338, 609, 891, 3504, 2853, 1247, 8716, 2565, 3206, 543, 3743, 3498, 540, 713, 1702, 780, 296, 269, 8466, 11137, 454, 2411, 19030, 763, 1353, 540, 9416, 13080, 7389, 1394, 5215, 540, 1296, 547, 3624, 267, 3127, 267, 10255, 267, 5527, 267, 543, 824, 2038, 12977, 269, 9147, 5640, 5156, 602, 9416, 13080, 1223, 1683, 3407, 1344, 3823, 513, 1268, 781, 1072, 267, 3929, 21274, 267, 4987, 267, 543, 1256, 5289, 13141, 5209, 269, 1452, 2038, 7422, 9788, 519, 5748, 585, 811, 9836, 4485, 2919, 1282, 519, 11193, 1974, 543, 3564, 780, 2862, 269, 9978, 16610, 543, 12910, 11659, 454, 29432, 6524, 11362, 883, 519, 25727, 540, 9416, 3259, 2079, 267, 1577, 721, 24559, 6000, 609, 1898, 2474, 543, 3741, 269, 901, 13654, 1702, 786, 5512, 596, 547, 1174, 1950, 2093, 4843, 2663, 538, 519, 3184, 780, 2162, 589, 269, 1912, 531, 5190, 692, 288, 943, 23750, 343, 630, 680, 1116, 281, 943, 531, 5190, 264, 4016, 547, 1022, 5642, 1369, 513, 7857, 1765, 325, 532, 619, 610, 19462, 269, 3962, 9416, 3568, 1614, 943, 531, 5190, 630, 2889, 343, 2711, 267, 1647, 267, 543, 30218, 1070, 4849, 585, 519, 14853, 267, 799, 5161, 540, 1152, 1079, 630, 2889, 343, 2711, 543, 30218, 1040, 7612, 476, 272, 14550, 891, 3334, 780, 256, 314, 8201, 476, 272, 910, 22845, 540, 5274, 7435, 28488, 10059, 2517, 16129, 269, 2897, 14516, 2593, 270, 12573, 343, 5611, 286, 3667, 284, 8201, 266, 272, 266, 268, 266, 2304, 10532, 266, 1993, 266, 14549, 266, 21652, 2020, 2162, 645, 269, 25732, 9828, 692, 2414, 2932, 9416, 3259, 2079, 8308, 267, 9439, 1590, 15666, 547, 13387, 7893, 2409, 269, 13575, 267, 789, 2769, 7403, 607, 12753, 1063, 519, 13080, 540, 11105, 943, 531, 5190, 269, 1280, 3236, 267, 519, 4994, 9416, 781, 2034, 943, 531, 1052, 1522, 581, 3379, 547, 922, 3791, 943, 531, 1052, 676, 12719, 741, 3448, 13080, 780, 7656, 269, 28604, 10613, 454, 10900, 14945, 26452, 7664, 2409, 2291, 1369, 9416, 3259, 2079, 269, 2368, 1445, 5097, 593, 2168, 10305, 267, 971, 607, 4222, 610, 8112, 282, 1866, 11168, 5626, 4162, 899, 7682, 4369, 610, 6568, 269, 17859, 540, 1935, 267, 1034, 1949, 2015, 4008, 3604, 1813, 547, 7915, 7648, 538, 5256, 543, 4775, 17550, 269, 12989, 267, 649, 4983, 1896, 2442, 7664, 16097, 780, 2162, 589, 269, 12465, 4457, 6925, 630, 12839, 300, 264, 13979, 692, 6097, 547, 570, 13967, 3069, 267, 1142, 9416, 14687, 547, 513, 1808, 1418, 1062, 269, 31943, 619, 2708, 9416, 3259, 12753, 547, 13209, 20817, 610, 12755, 1369, 1346, 2404, 8219, 269, 7305, 476, 272, 2488, 606, 7650, 540, 891, 12205, 780, 347, 674, 5424, 1923, 4856, 22046, 532, 5029, 3590, 567, 11406, 347, 19203, 672, 1923, 19203, 4449, 16875, 11406, 347, 774, 3518, 476, 1923, 25016, 338, 543, 14066, 2271, 32347, 825, 11406, 347, 12039, 476, 1923, 9839, 543, 9540, 2271, 32347, 567, 11406, 347, 5664, 1923, 3131, 545, 731, 1756, 543, 10222, 921, 1261, 831, 2008, 347, 23580, 567, 1923, 20506, 543, 11829, 31041, 11434, 11406, 347, 9741, 1923, 17718, 7958, 543, 2349, 9554, 1363, 1923, 692, 8368, 476, 272, 910, 674, 5424, 268, 16391, 4889, 725, 538, 12465, 4457, 6925, 692, 2690, 1383, 267, 952, 606, 1367, 15225, 513, 5266, 1279, 8258, 9416, 3379, 547, 741, 4994, 9416, 267, 513, 570, 13967, 19995, 1522, 18505, 513, 2178, 6797, 1599, 610, 1761, 2152, 1644, 547, 10845, 2359, 269, 1717, 267, 621, 568, 2629, 547, 4063, 602, 971, 8753, 1058, 2141, 581, 9672, 998, 3606, 10368, 2645, 543, 4274, 20241, 780, 2162, 645, 269, 16723, 13979, 692, 20329, 10999, 20218, 9416, 3259, 19767, 25077, 602, 1978, 9416, 5223, 3270, 30136, 609, 3982, 8965, 7592, 269, 2290, 4922, 5941, 1523, 3322, 9236, 519, 3259, 540, 519, 4994, 9416, 630, 16149, 7857, 267, 610, 476, 273, 291, 264, 547, 519, 3259, 540, 519, 8258, 9416, 630, 27917, 628, 7857, 267, 610, 476, 275, 291, 1040, 4340, 547, 930, 3173, 267, 2367, 609, 3476, 14034, 11263, 982, 4994, 11263, 8858, 2799, 14699, 543, 28211, 267, 7654, 5532, 547, 2362, 27514, 19697, 4598, 269, 6468, 3335, 4159, 1447, 14733, 13103, 1063, 741, 476, 273, 291, 543, 476, 275, 291, 13080, 267, 4352, 2147, 3270, 949, 1869, 10836, 780, 8448, 16895, 8044, 602, 9416, 3259, 12753, 7866, 13857, 18125, 540, 5042, 5759, 269, 1280, 3236, 267, 2043, 609, 2539, 476, 273, 291, 281, 275, 291, 12753, 630, 785, 21899, 3476, 8258, 11263, 264, 1625, 19959, 569, 14133, 693, 8901, 7744, 4247, 267, 6466, 1346, 609, 2362, 476, 273, 291, 281, 275, 291, 12753, 6542, 6793, 11913, 1983, 269, 2755, 891, 6811, 2611, 11786, 267, 3875, 12170, 2090, 1489, 891, 4296, 780, 4353, 269, 7351, 3194, 543, 10241, 454, 5785, 21387, 17457, 2257, 5170, 547, 8495, 519, 14496, 543, 31675, 540, 9416, 3259, 2079, 2066, 3309, 4610, 269, 10765, 8906, 5031, 4241, 6402, 1063, 9416, 12753, 543, 1585, 2188, 267, 1519, 4638, 10066, 267, 18942, 2773, 267, 2790, 1072, 4713, 267, 543, 1256, 18687, 547, 1978, 3676, 269, 2913, 721, 2689, 1896, 8037, 4681, 780, 2162, 589, 269, 20351, 18112, 550, 566, 692, 5278, 3173, 2303, 602, 476, 273, 291, 281, 275, 291, 12753, 8428, 3648, 1063, 10636, 18400, 543, 28305, 5095, 269, 13018, 267, 24139, 2021, 543, 14447, 2367, 27333, 1397, 4389, 27753, 1063, 741, 476, 273, 291, 543, 476, 275, 291, 13080, 3379, 547, 741, 10636, 18400, 13413, 269, 4014, 2417, 7634, 568, 2838, 267, 891, 2164, 20726, 693, 2009, 4719, 24598, 25751, 12018, 4638, 13283, 780, 2162, 645, 269, 26465, 545, 13437, 692, 22137, 5815, 602, 9845, 12721, 538, 1379, 5026, 27137, 607, 2597, 331, 14823, 267, 838, 11781, 532, 267, 610, 18530, 2621, 1765, 339, 754, 547, 4865, 2539, 476, 273, 291, 281, 275, 291, 12753, 982, 16608, 9845, 610, 1875, 987, 2280, 525, 269, 901, 8343, 10522, 602, 11506, 27514, 19697, 2157, 3565, 547, 8476, 16757, 1646, 543, 23292, 3196, 5108, 780, 2162, 595, 269, 10076, 2657, 15136, 692, 10932, 5267, 602, 12012, 9416, 3259, 12753, 949, 24901, 15398, 4220, 585, 17867, 2175, 267, 971, 607, 10295, 8552, 4524, 267, 18624, 267, 543, 4965, 269, 1280, 1383, 267, 2043, 8995, 609, 10295, 4749, 1459, 609, 6825, 569, 1970, 476, 273, 291, 281, 275, 291, 12753, 267, 5732, 10452, 32623, 7949, 17441, 15088, 1282, 19341, 1646, 269, 6684, 267, 20158, 2550, 3006, 8858, 27105, 476, 273, 291, 281, 275, 291, 13103, 267, 3226, 1851, 8951, 269, 6270, 4681, 1930, 1007, 18817, 585, 3695, 1696, 8344, 6127, 5817, 891, 27676, 10108, 780, 309, 269, 2552, 7337, 625, 543, 29576, 454, 10900, 19567, 8601, 20387, 2963, 5885, 9416, 3259, 2079, 267, 25949, 26251, 7282, 922, 6111, 267, 10727, 267, 543, 5683, 6286, 269, 11534, 7859, 13712, 13385, 3732, 7306, 267, 6482, 29927, 267, 543, 1476, 15929, 4632, 607, 1713, 7687, 14944, 1456, 1082, 8753, 6537, 689, 9416, 5223, 2090, 269, 3958, 267, 13915, 2243, 2436, 9439, 17908, 7925, 7218, 5275, 4267, 547, 1950, 2055, 1732, 9619, 3842, 3964, 2564, 610, 5626, 7459, 780, 9654, 269, 19078, 19047, 454, 10900, 13430, 2691, 7311, 9416, 3259, 2079, 538, 3318, 5468, 267, 9439, 1590, 27481, 22608, 5683, 4441, 547, 2149, 7817, 10304, 543, 2226, 1857, 3972, 269, 6206, 9270, 1331, 13844, 5483, 9844, 267, 4509, 22637, 267, 9319, 25641, 1893, 610, 3527, 267, 14344, 10462, 267, 543, 1201, 20995, 689, 1818, 5667, 889, 560, 656, 7007, 6811, 269, 1520, 11447, 547, 891, 4808, 5849, 3743, 2259, 1247, 5009, 16614, 5188, 1063, 2757, 7326, 1832, 619, 543, 4207, 3744, 780, 23997, 269, 10390, 454, 1366, 15365, 2026, 7152, 2429, 713, 3184, 267, 9416, 3259, 2079, 6799, 513, 9159, 10167, 1063, 3140, 561, 648, 543, 5969, 12967, 1382, 269, 1635, 29506, 1944, 11029, 7648, 538, 943, 531, 1052, 17114, 267, 9439, 2744, 1569, 547, 7096, 4030, 3823, 1480, 6530, 267, 17550, 267, 543, 22038, 269, 1717, 267, 621, 3788, 4105, 547, 2191, 15131, 585, 891, 11240, 725, 609, 2635, 25949, 267, 11826, 6268, 267, 543, 32344, 7029, 547, 5683 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27295, 2010, 5673, 593, 519, 24061, 29294, 543, 519, 20586, 540, 519, 19800, 269, 769, 1840, 547, 519, 3762, 267, 623, 269, 751, 637, 666, 849, 1860, 737, 1716, 1564, 267, 6978, 1352, 23411, 543, 11710, 540, 24061, 2371, 269, 0, 15371, 596, 616, 18188, 1153, 713, 2887, 610, 3478, 707, 1453, 4712, 585, 519, 1394, 547, 1153, 19060, 267, 596, 616, 4440, 6849, 513, 9645, 2179, 540, 2566, 269, 3245, 4466, 1153, 7727, 547, 25786, 6283, 267, 621, 568, 782, 547, 2653, 547, 1831, 16397, 676, 513, 9583, 11995, 1592, 540, 7569, 563, 24965, 576, 707, 1394, 547, 1153, 2566, 609, 930, 540, 891, 1390, 4388, 563, 15862, 9736, 27118, 7195, 345, 545, 270, 328, 1805, 1442, 20124, 454, 6097, 547, 513, 476, 1220, 277, 5619, 676, 519, 1977, 16723, 5948, 267, 5176, 3368, 540, 4892, 5855, 827, 741, 2566, 2157, 269, 1306, 596, 949, 2907, 917, 267, 2566, 814, 513, 2647, 3099, 540, 2942, 2360, 8151, 689, 513, 2110, 3856, 1764, 593, 2623, 547, 1279, 3856, 1072, 2042, 563, 257, 14303, 9506, 547, 960, 1310, 513, 16314, 267, 28006, 707, 1453, 547, 513, 1007, 1153, 267, 1256, 8165, 513, 1668, 1512, 19060, 5662, 607, 3506, 556, 13449, 267, 666, 782, 3565, 547, 606, 2799, 2566, 1377, 2437, 6941, 18673, 3220, 269, 27050, 6022, 558, 4100, 538, 606, 2376, 676, 519, 14905, 6435, 4741, 269, 834, 10144, 945, 11883, 609, 2566, 538, 14432, 2081, 949, 13468, 2589, 540, 2566, 538, 519, 2110, 2165, 267, 855, 1439, 909, 2870, 1713, 2123, 1072, 2042, 936, 942, 267, 543, 267, 4401, 1227, 267, 811, 2566, 269, 3733, 5796, 568, 547, 1831, 3222, 540, 2621, 602, 616, 2693, 547, 2333, 707, 2566, 2157, 543, 1491, 3268, 547, 8362, 4383, 707, 2566, 543, 3895, 2635, 12003, 5615, 538, 707, 1453, 563, 18872, 268, 13427, 1532, 773, 548, 26709, 19709, 781, 6651, 547, 13262, 5004, 267, 10906, 8845, 267, 631, 2529, 1421, 15565, 4227, 707, 2566, 2157, 676, 4358, 707, 1394, 547, 1153, 4058, 2038, 269, 5192, 707, 1153, 7727, 538, 1931, 267, 1544, 707, 8430, 543, 3715, 513, 2834, 3207, 8430, 1354, 519, 1101, 1554, 540, 5049, 563, 23921, 811, 1390, 4388, 585, 4227, 707, 1394, 547, 1153, 2566, 888, 9596, 875, 547, 4383, 707, 942, 20617, 269, 2060, 513, 2370, 6297, 4058, 267, 596, 666, 2569, 610, 9004, 513, 1390, 4308, 540, 2566, 563, 30696, 593, 3919, 269, 1703, 616, 7899, 540, 10464, 543, 2653, 3919, 2645, 2139, 602, 786, 948, 596, 3314, 21852, 267, 3950, 10467, 543, 1544, 707, 8430, 563, 308, 2955, 707, 1565, 2511, 269, 769, 1931, 547, 3715, 519, 1655, 1353, 6208, 267, 621, 781, 1271, 547, 917, 875, 596, 1451, 1034, 3927, 563, 27778, 2313, 909, 593, 707, 1353, 1983, 269, 3399, 519, 2165, 856, 593, 519, 1318, 3723, 676, 2324, 593, 707, 1353, 6208, 267, 1449, 23824, 1983, 543, 1603, 2994, 269, 3962, 1576, 6770, 609, 621, 513, 2189, 1305, 540, 2591, 267, 855, 1818, 513, 1906, 2241, 17408, 6545, 547, 707, 3339, 4081, 6208, 666, 13497, 2087, 707, 9344, 543, 1344, 12802, 563, 268, 4518, 593, 1565, 811, 7561, 269, 25947, 707, 1353, 6208, 568, 1390, 267, 855, 1018, 952, 972, 729, 513, 1259, 547, 2087, 707, 2702, 547, 11677, 543, 11291, 1344, 286, 18641, 267, 972, 616, 930, 1390, 4388, 596, 666, 946, 547, 13497, 2087, 707, 1565, 4398, 543, 7145, 563, 268, 1215, 547, 4039, 10079, 7982, 547, 3427, 13262, 543, 17520, 454, 268, 1215, 547, 20958, 2060, 4530, 17520, 454, 268, 13262, 4039, 773, 951, 585, 4841, 454, 14294, 909, 585, 519, 10017, 5240, 12072, 547, 1205, 519, 5767, 6530, 10311, 269, 4746, 267, 581, 2386, 547, 6443, 581, 936, 593, 9365, 543, 12108, 563, 27270, 281, 14905, 6435, 4741, 267, 5291, 2517, 23981, 15276, 22487, 3820, 270, 14895, 270, 14835, 21703, 286, 573, 284, 15647, 454, 15124, 2376, 918, 754, 571, 2676, 7883, 532, 1394, 547, 1153, 666, 581, 513, 1360, 17173, 942, 585, 707, 3328, 1268, 267, 594, 666, 1152, 4952, 875, 621, 666, 581, 585, 2576, 609, 606, 4160, 4524, 269, 15775, 3388, 6896, 568, 1390, 5796, 585, 4896, 16144, 1394, 547, 1153, 269, 594, 849, 1265, 2542, 513, 1906, 3817, 6619, 538, 707, 1837, 547, 581, 513, 1360, 1434, 8945, 547, 9363, 593, 1283, 540, 1919, 269, 0, 763, 1909, 540, 10683, 543, 6484, 538, 1453, 779, 267, 10708, 543, 10172, 2551, 779, 11326, 786, 581, 519, 1445, 540, 519, 5993, 4139, 667, 8543, 18966, 630, 2839, 293, 264, 12594, 543, 2657, 32600, 476, 1708, 273, 269, 634, 1863, 2680, 585, 1072, 4648, 3217, 1747, 2228, 593, 2904, 476, 1321, 689, 476, 1556, 281, 876, 547, 476, 1626, 281, 876, 595, 12239, 269, 634, 1623, 24007, 267, 799, 568, 8066, 922, 2034, 7160, 1310, 513, 1360, 3811, 22305, 1116, 5870, 538, 476, 1708, 272, 267, 786, 1459, 519, 5767, 10683, 543, 6484, 1382, 543, 2259, 689, 2066, 519, 8608, 269, 634, 1357, 14373, 786, 1865, 519, 2956, 540, 10683, 585, 1079, 1271, 1272, 5933, 267, 12077, 585, 6379, 267, 1453, 543, 10708, 267, 543, 585, 2635, 30333, 563, 2108, 291, 8543, 2472, 1683, 1164, 7779, 3940, 267, 7513, 267, 645, 8324, 267, 22752, 267, 543, 1082, 824, 5567, 799, 616, 1898, 585, 2208, 543, 1646, 538, 1453, 607, 1134, 607, 5885, 30333, 6091, 543, 7633, 892, 2829, 18238, 320, 670, 12177, 267, 11381, 540, 519, 12594, 543, 2657, 32600, 5029, 1944, 9730, 267, 543, 1244, 14280, 7302, 1515, 540, 594, 5263, 12594, 543, 2657, 30557, 9730, 269, 968, 2171, 4126, 713, 2680, 786, 4482, 1082, 6484, 1235, 267, 2732, 527, 2103, 267, 543, 1072, 4648, 689, 1472, 519, 1158, 547, 5873, 827, 519, 1271, 1909, 5144, 543, 10683, 2472, 1404, 538, 519, 2732, 693, 782, 6502, 543, 5933, 540, 1272, 5608, 15516, 670, 12177, 8591, 563, 14276, 1072, 5238, 1472, 519, 1158, 5031, 519, 2956, 540, 10115, 538, 1072, 543, 6484, 1282, 6379, 543, 519, 1101, 476, 1911, 271, 2395, 540, 1272, 547, 948, 1453, 2743, 741, 2407, 1761, 585, 2208, 543, 1646, 543, 4081, 2773, 269, 5047, 267, 2487, 1382, 5267, 513, 991, 547, 3136, 5009, 2635, 2208, 543, 1646, 3564, 519, 2085, 540, 476, 273, 543, 1445, 593, 519, 1101, 476, 8517, 271, 2395, 547, 1305, 873, 909, 585, 2635, 15296, 269, 4746, 267, 609, 606, 5051, 30333, 2551, 267, 621, 568, 1898, 547, 2015, 519, 2257, 602, 666, 948, 1020, 10097, 543, 2298, 1072, 2533, 1445, 593, 4587, 4079, 547, 3895, 7115, 543, 2226, 2168, 267, 2790, 543, 5042, 1072, 563, 6097, 569, 267, 519, 1623, 24007, 786, 581, 5258, 883, 1079, 7886, 585, 1142, 540, 891, 2085, 2516, 269, 968, 300, 11189, 11326, 543, 1126, 1072, 281, 519, 2640, 540, 10683, 4616, 676, 7905, 27950, 717, 643, 839, 689, 519, 2160, 540, 7335, 267, 2136, 8003, 267, 543, 968, 763, 1747, 540, 10683, 538, 8192, 4808, 585, 1762, 1453, 892, 676, 7548, 700, 16388, 928, 631, 269, 5918, 623, 1652, 529, 689, 853, 749, 523, 321, 657, 577, 2160, 267, 3162, 4000, 616, 1079, 540, 519, 14245, 602, 786, 1491, 1747, 1282, 519, 1101, 8400, 269, 968, 291, 8543, 6981, 547, 2569, 26878, 13449, 807, 1981, 676, 7905, 9045, 25493, 17540, 329, 7534, 267, 689, 681, 1080, 2541, 1731, 534, 2160, 267, 3567, 267, 543, 968, 291, 8543, 4616, 543, 30333, 7633, 892, 676, 3220, 9995, 571, 594, 592, 10730, 689, 519, 2160, 540, 24332, 267, 5245, 616, 930, 540, 519, 14245, 540, 519, 2034, 8400, 563, 16920, 2056, 519, 2680, 568, 1863, 267, 543, 3877, 593, 875, 547, 15395, 707, 1747, 2059, 609, 2407, 3877, 540, 519, 10872, 666, 581, 1336, 593, 519, 594, 5263, 3896, 4179, 2517, 16344, 268, 573, 325, 3820, 270, 573, 325, 318, 5271, 757, 270, 573, 325, 5991, 9173, 1606, 2096, 24007, 268, 273, 13045, 2791, 666, 849, 11578, 2047, 585, 519, 2680, 1934, 269, 0, 763, 4070, 540, 811, 6046, 26119, 538, 590, 15634, 523, 568, 513, 1883, 3804, 585, 6751, 918, 337, 3563, 26856, 781, 2229, 563, 306, 14954, 523, 568, 8600, 9086, 547, 1450, 519, 4070, 540, 811, 6046, 1379, 10473, 547, 5818, 5201, 2504, 538, 519, 29735, 2197, 543, 24772, 1648, 3354, 267, 11788, 10579, 21853, 325, 918, 337, 3563, 26856, 814, 1767, 563, 20442, 723, 606, 6654, 991, 585, 811, 5201, 2504, 538, 13785, 2437, 918, 337, 3563, 26856, 5143, 513, 3377, 10554, 593, 13723, 563, 298, 337, 3563, 26856, 814, 1500, 9750, 6046, 1379, 5108, 513, 1883, 3804, 585, 1010, 2229, 267, 5275, 547, 9258, 513, 1184, 540, 16795, 5008, 999, 540, 1896, 26119, 538, 519, 2250, 7008, 540, 5756, 602, 814, 2451, 519, 2197, 13461, 811, 8185, 593, 7791, 855, 3006, 1447, 22150, 1648, 563, 30948, 649, 616, 3257, 2221, 568, 4657, 9086, 547, 1450, 585, 519, 4070, 540, 811, 6046, 26119, 693, 811, 4025, 2437, 646, 3773, 563, 763, 6069, 1007, 9086, 267, 799, 1869, 2115, 547, 581, 5293, 676, 14618, 267, 1131, 1450, 1007, 26119, 547, 581, 9112, 538, 811, 4025, 2066, 13785, 543, 729, 2938, 1373, 538, 1747, 538, 4728, 540, 1985, 1032, 563, 3918, 4696, 27749, 281, 12907, 267, 1863, 4123, 543, 2916, 6433, 547, 1449, 13785, 607, 621, 1095, 1938, 9167, 454, 306, 14954, 523, 538, 4864, 6659, 922, 1981, 4879, 540, 22520, 1282, 519, 5162, 547, 834, 9418, 257, 689, 834, 869, 8487, 21328, 10579, 661, 6277, 320, 645, 20415, 5143, 4505, 602, 519, 10171, 540, 22520, 1131, 6175, 15186, 952, 6800, 1223, 946, 476, 273, 2600, 1447, 267, 610, 6521, 476, 273, 2600, 540, 4616, 547, 2053, 3544, 519, 6640, 543, 10543, 8445, 3108, 563, 257, 9336, 4893, 578, 3430, 5662, 12523, 2437, 1352, 1767, 563, 1103, 1776, 1305, 3724, 547, 3761, 538, 519, 29735, 543, 27397, 3148, 267, 30240, 18940, 1586, 27185, 19861, 519, 23492, 540, 513, 1007, 6046, 19720, 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 ]
[ 689, 4052, 2164, 972, 568, 1945, 21739, 4636, 609, 519, 1505, 607, 693, 1459, 865, 4922, 13736, 269, 1306, 5693, 3254, 676, 1261, 330, 1729, 523, 267, 2048, 1492, 2241, 1249, 568, 602, 649, 723, 1100, 6325, 2963, 547, 1397, 602, 10074, 267, 607, 1031, 4122, 267, 723, 519, 25144, 5401, 543, 1808, 1225, 894, 2360, 29064, 676, 23904, 12439, 543, 2523, 676, 1978, 6669, 2306, 267, 945, 8915, 569, 723, 711, 1044, 2922, 10274, 547, 519, 3741, 540, 3811, 543, 7787, 519, 31706, 3034, 2005, 568, 711, 4023, 267, 543, 6157, 711, 19782, 6681, 267, 607, 602, 16994, 10404, 267, 3220, 269, 661, 10422, 269, 5775, 327, 583, 345, 267, 1287, 9375, 540, 634, 13067, 4141, 24403, 5589, 4650, 267, 11329, 856, 267, 547, 2322, 519, 16620, 585, 713, 5821, 2390, 519, 10672, 267, 2094, 2608, 892, 309, 3147, 710, 3797, 729, 4535, 538, 519, 7961, 25958, 12068, 540, 8047, 2257, 3034, 763, 21107, 20147, 607, 5205, 912, 10527, 1249, 602, 1454, 942, 543, 4674, 540, 519, 2250, 4557, 1296, 2408, 1631, 547, 723, 1044, 24906, 267, 865, 2484, 607, 2318, 2164, 979, 267, 1058, 1118, 721, 6065, 569, 18762, 538, 16561, 513, 1007, 543, 10169, 2147, 5650, 2394, 4316, 814, 1044, 6488, 539, 585, 922, 19027, 896, 2175, 15028, 585, 3621, 1852, 3034, 18183, 1258, 1540, 609, 23405, 540, 10826, 676, 4630, 4141, 24403, 6646, 538, 971, 9190, 3676, 607, 26601, 5028, 267, 27193, 1355, 267, 27193, 639, 543, 5835, 8611, 267, 524, 4981, 267, 546, 13023, 750, 807, 267, 16415, 267, 22854, 1143, 543, 1256, 21061, 543, 2860, 267, 519, 8789, 1153, 540, 4915, 814, 3976, 2484, 17379, 547, 2015, 873, 267, 17792, 1312, 519, 524, 999, 543, 519, 3741, 2390, 799, 789, 616, 12913, 267, 543, 4797, 547, 1246, 922, 2757, 1576, 269, 621, 1869, 5083, 1132, 519, 3504, 968, 15884, 522, 685, 519, 5923, 335, 892, 968, 14588, 322, 5809, 585, 3676, 2223, 2479, 17528, 543, 32222, 547, 1294, 602, 10826, 568, 2141, 2608, 785, 1339, 267, 538, 519, 2608, 935, 4740, 2013, 610, 3461, 267, 2760, 538, 519, 20902, 2068, 282, 543, 602, 971, 513, 3364, 607, 513, 1808, 10826, 585, 513, 2068, 1281, 711, 267, 543, 267, 538, 519, 2470, 540, 1919, 267, 3112, 2291, 267, 2094, 1100, 1079, 2665, 267, 1256, 540, 519, 1482, 2068, 267, 616, 2479, 519, 1482, 269, 7464, 1436, 540, 971, 14286, 267, 543, 3566, 8344, 21533, 540, 519, 3450, 540, 670, 23167, 655, 2335, 538, 2463, 547, 519, 2470, 543, 2014, 540, 1978, 3676, 267, 3144, 1927, 267, 1058, 693, 2547, 1711, 513, 16912, 1632, 538, 3870, 540, 519, 5168, 540, 1010, 3450, 538, 2543, 547, 519, 10826, 540, 1346, 3676, 543, 1291, 547, 513, 3621, 7634, 540, 1010, 1505, 563, 7804, 269, 5062, 3519, 4486, 267, 13156, 670, 23167, 655, 2335, 779, 3069, 689, 519, 29459, 540, 3566, 5735, 267, 11329, 856, 267, 1101, 267, 602, 649, 723, 15110, 689, 18631, 5481, 513, 7301, 543, 22801, 7664, 540, 1018, 670, 23167, 655, 2335, 2731, 6026, 538, 2543, 547, 2608, 11679, 7702, 607, 519, 2014, 540, 5312, 1875, 268, 1597, 699, 531, 3676, 563, 763, 3119, 5470, 15538, 538, 3823, 27666, 7702, 8806, 607, 513, 2608, 323, 903, 322, 6652, 807, 610, 1019, 520, 4185, 267, 799, 568, 2047, 10353, 547, 1018, 670, 23167, 655, 2335, 6026, 607, 649, 1631, 1174, 621, 269, 5502, 540, 3823, 27666, 7702, 607, 513, 7988, 322, 6652, 807, 670, 23167, 655, 2335, 2608, 514, 7672, 1896, 540, 519, 7988, 322, 6652, 807, 1851, 519, 21693, 573, 2175, 543, 3676, 2608, 8619, 4310, 676, 27666, 7702, 563, 22746, 606, 5470, 1223, 1152, 723, 818, 17470, 538, 8186, 2907, 11830, 5367, 676, 519, 1699, 20093, 821, 748, 3450, 540, 519, 1554, 267, 543, 711, 2943, 24084, 2989, 676, 1702, 799, 729, 4166, 547, 2097, 607, 513, 1267, 540, 3312, 1382, 538, 519, 2361, 540, 3566, 5735, 269, 2201, 713, 2666, 621, 568, 10703, 22133, 875, 519, 5470, 21256, 543, 3262, 269, 1715, 5168, 267, 3533, 9787, 539, 676, 513, 1906, 10332, 543, 1930, 8186, 267, 11579, 6233, 519, 3328, 2247, 7444, 269, 22731, 22602, 2933, 267, 12842, 538, 741, 1378, 13287, 267, 616, 1419, 26997, 547, 2015, 741, 960, 538, 922, 6935, 547, 519, 960, 540, 18631, 22602, 267, 1256, 952, 789, 616, 9158, 1227, 19579, 547, 798, 865, 267, 799, 267, 607, 513, 4341, 267, 789, 616, 711, 563, 763, 11108, 960, 540, 606, 1367, 2062, 14725, 1676, 267, 4061, 267, 949, 3362, 581, 15763, 585, 513, 942, 282, 855, 5555, 519, 5168, 4362, 676, 1864, 786, 581, 6444, 267, 607, 621, 1631, 814, 1044, 538, 519, 2013, 540, 670, 23167, 655, 2335, 563, 295, 23167, 655, 2335, 729, 519, 1101, 547, 13498, 543, 4001, 519, 2608, 1706, 553, 527, 673, 2470, 540, 11763, 610, 21380, 3676, 267, 1519, 32411, 267, 16891, 16964, 4141, 320, 267, 682, 2889, 1910, 267, 21061, 267, 26601, 5028, 267, 27193, 639, 543, 27193, 1355, 905, 951, 282, 543, 519, 2608, 577, 3055, 3676, 538, 2489, 267, 824, 982, 17163, 3676, 543, 1346, 3812, 676, 5061, 543, 796, 1506, 8162, 545, 2713, 267, 519, 865, 10777, 3075, 3676, 563, 295, 23167, 655, 2335, 4371, 602, 782, 5312, 3676, 616, 6508, 689, 2608, 22764, 3119, 267, 11763, 267, 26220, 2959, 269, 968, 5472, 5312, 3676, 2223, 646, 3081, 267, 968, 19651, 971, 513, 1526, 3599, 543, 16177, 2608, 2608, 2608, 607, 4166, 607, 789, 723, 2919, 543, 723, 711, 1044, 646, 4705, 676, 519, 2564, 1148, 267, 602, 789, 2479, 3467, 2333, 609, 519, 1296, 543, 1282, 519, 2898, 540, 812, 779, 10715, 282, 543, 789, 3112, 581, 21022, 676, 519, 4222, 630, 637, 2700, 264, 10362, 1256, 547, 519, 1034, 7347, 1526, 4801, 269, 12846, 1447, 666, 789, 581, 7753, 543, 24773, 1639, 269, 4935, 789, 2760, 1780, 2476, 676, 2933, 267, 855, 2333, 543, 616, 24395, 730, 1256, 2394, 2669, 269, 1358, 1590, 4061, 723, 585, 741, 5169, 543, 5748, 2608, 6247, 656, 5312, 544, 5362, 916, 267, 17929, 741, 2608, 1706, 553, 527, 673, 6228, 538, 519, 1480, 11248, 568, 13087, 547, 16111, 2608, 23438, 543, 2608, 326, 992, 1848, 30916, 18744, 2713, 7919, 1332, 8094, 288, 3765, 24483, 540, 519, 2631, 538, 799, 670, 23167, 655, 2335, 3096, 519, 2262, 968, 332, 14416, 892, 814, 13587, 1882, 1082, 269, 898, 729, 519, 2262, 29101, 1031, 538, 1010, 942, 547, 2769, 519, 21693, 881, 32338, 725, 689, 2322, 29266, 5214, 2339, 267, 3662, 610, 10448, 267, 543, 3006, 519, 2498, 1663, 16129, 16109, 689, 519, 4703, 540, 1346, 4299, 676, 1978, 3676, 267, 930, 540, 799, 941, 9833, 607, 11763, 543, 1866, 711, 563, 288, 22801, 11984, 729, 849, 1500, 1063, 544, 5362, 2742, 543, 19131, 542, 543, 1063, 19131, 542, 543, 3968, 563, 303, 1551, 779, 6481, 9218, 267, 5507, 267, 476, 8687, 280, 267, 1631, 513, 1360, 4686, 1433, 267, 855, 519, 5207, 6392, 540, 602, 942, 267, 2376, 267, 968, 300, 5362, 2742, 2223, 3081, 281, 968, 1103, 519, 811, 7453, 27690, 7634, 540, 2413, 4589, 789, 616, 13747, 689, 19131, 542, 267, 799, 568, 16876, 547, 519, 2498, 1663, 16129, 689, 519, 1480, 1560, 267, 950, 1641, 547, 2068, 282, 2943, 519, 19131, 542, 267, 950, 621, 1281, 711, 8399, 5612, 689, 519, 1560, 267, 855, 814, 1044, 585, 930, 942, 16876, 538, 9660, 267, 568, 3006, 18908, 1194, 2608, 332, 5362, 2742, 269, 6271, 2186, 540, 544, 5362, 2742, 630, 5408, 19131, 542, 264, 568, 2322, 5090, 10448, 2339, 267, 543, 8197, 3388, 540, 713, 2186, 799, 5526, 2608, 514, 519, 1106, 540, 2011, 269, 631, 5362, 2742, 267, 1287, 267, 14553, 6340, 267, 2608, 529, 606, 19666, 5714, 267, 2608, 18474, 1441, 609, 11626, 2011, 267, 543, 711, 5906, 8259, 519, 2011, 581, 16041, 609, 621, 269, 2608, 2608, 27661, 2108, 10376, 11763, 2068, 1185, 922, 1378, 3099, 267, 2608, 18528, 4310, 1472, 519, 1268, 799, 621, 814, 16091, 267, 543, 25964, 547, 6655, 519, 2068, 693, 1114, 9883, 267, 2687, 547, 519, 2470, 540, 519, 24255, 267, 610, 547, 519, 32739, 540, 519, 1843, 6534, 547, 621, 3034, 15152, 968, 6944, 698, 542, 610, 25124, 892, 519, 1482, 6392, 3081, 281, 968, 2005, 814, 1044, 25015, 13986, 547, 10646, 891, 1079, 1913, 267, 1498, 711, 609, 513, 6126, 7130, 269, 1284, 1058, 1935, 811, 5176, 547, 1455, 1893, 952, 649, 6964, 519, 18781, 2048, 17126, 1190, 685, 547, 2608, 323, 1047, 848, 28078, 676, 3346, 282, 585, 649, 3468, 513, 561, 4545, 564, 543, 649, 6952, 513, 8611, 676, 19131, 542, 269, 2608, 2608, 2608, 2552, 698, 542, 1287, 6818, 2608, 514, 519, 5790, 267, 543, 649, 917, 3982, 569, 855, 835, 2186, 267, 2608, 341, 714, 12727, 15794, 268, 544, 14416, 1092, 267, 799, 4440, 5161, 540, 2608, 514, 10075, 762, 2011, 3034, 763, 5835, 8611, 540, 3013, 267, 15435, 3032, 1551, 26387, 267, 20575, 267, 7988, 550, 2044, 267, 10077, 26245, 2088, 267, 12266, 29555, 8926, 267, 21569, 267, 6413, 543, 824, 905, 951, 267, 31847, 267, 27330, 267, 22377, 730, 11563, 267, 945, 14563, 11522, 267, 519, 621, 577, 267, 9006, 699, 531, 3676, 543, 519, 586, 9155, 267, 616, 5018, 607, 1806, 540, 544, 14416, 1738, 3676, 267, 930, 540, 799, 616, 9833, 607, 968, 17126, 1190, 2223, 543, 1866, 711, 269, 968, 8448, 20286, 9277, 547, 581, 11763, 616, 15151, 865, 689, 741, 1373, 519, 15556, 540, 2608, 4186, 698, 542, 630, 7474, 568, 267, 2048, 320, 518, 658, 12862, 267, 5916, 609, 11626, 2011, 32426, 1152, 3034, 2108, 10144, 616, 1360, 1585, 569, 11630, 547, 3968, 269, 634, 13581, 652, 7362, 786, 3006, 16578, 519, 2068, 267, 1247, 1866, 786, 3232, 13236, 519, 20715, 5790, 1510, 5945, 3034, 2108, 14813, 1254, 568, 8197, 811, 1419, 3144, 982, 568, 6462, 269, 2608, 2608, 2608, 898, 568, 3622, 2608, 516, 18727, 609, 519, 2011, 538, 7244, 3034, 1607, 2982, 519, 11821, 1533, 540, 2564, 6644, 693, 519, 942, 950, 670, 23167, 655, 2335, 729, 10647, 1010, 13753, 540, 519, 1641, 267, 799, 941, 547, 1267, 538, 1010, 4412, 15929, 519, 1034, 1376, 1782, 267, 12316, 543, 2484, 23568, 3069, 538, 519, 1686, 540, 4915, 267, 12077, 267, 519, 2608, 1706, 553, 527, 673, 2470, 540, 5563, 543, 5312, 3676, 269, 0, 18719, 1324, 9612, 11778, 454, 6097, 547, 5616, 267, 713, 9337, 786, 5631, 1764, 1950, 19707, 602, 4096, 593, 2796, 269, 645, 12224, 6763, 585, 645, 573, 27399, 7402, 18344, 11724, 725, 689, 17992, 619, 543, 568, 513, 2620, 1565, 5690, 1644, 547, 2067, 1893, 4393, 269, 10925, 3274, 267, 621, 2337, 519, 3406, 2599, 1732, 1174, 1018, 1913, 538, 513, 4845, 1611, 267, 855, 609, 4143, 2796, 269, 17992, 619, 616, 835, 540, 519, 811, 2487, 7835, 538, 3684, 1565, 269, 1358, 960, 2523, 1134, 585, 1239, 1141, 519, 5311, 540, 2609, 568, 1271, 267, 799, 15069, 2306, 873, 513, 3730, 1907, 585, 2324, 609, 2067, 1893, 543, 3976, 267, 3406, 14511, 563, 2467, 616, 7899, 540, 1913, 538, 519, 2296, 1893, 602, 616, 25250, 4484, 16519, 268, 12072, 855, 723, 11613, 1114, 10096, 950, 519, 2796, 568, 3144, 883, 2272, 269, 26450, 568, 2966, 547, 948, 4194, 24813, 5220, 543, 2453, 602, 616, 1500, 909, 540, 1082, 1913, 609, 2789, 10096, 563, 2080, 779, 606, 1383, 540, 875, 5616, 568, 2111, 547, 1174, 513, 13214, 811, 899, 513, 1480, 543, 3976, 1397, 513, 811, 4143, 1267, 563, 8923, 4063, 281, 713, 1383, 568, 585, 3087, 894, 5301, 543, 1522, 711, 2992, 4890, 3406, 2164, 950, 519, 1767, 13214, 568, 9411, 563, 29613, 958, 267, 713, 9337, 1797, 602, 519, 2442, 3406, 2599, 786, 1631, 581, 2111, 547, 1732, 1174, 1018, 4010, 596, 616, 3168, 585, 543, 1683, 596, 609, 811, 4143, 3406, 2164, 563, 2467, 616, 7899, 540, 14868, 267, 10539, 543, 3095, 22678, 1746, 4478, 645, 12224, 5690, 269, 3371, 616, 513, 1906, 547, 4585, 856, 585, 912, 300, 2814, 476, 272, 281, 645, 12224, 5222, 707, 2985, 779, 22048, 563, 7712, 519, 645, 12224, 5690, 2337, 5616, 5659, 3755, 685, 3406, 14511, 267, 711, 1357, 3817, 267, 621, 1058, 723, 2370, 547, 1100, 1198, 593, 7270, 685, 22048, 269, 901, 3085, 1406, 1611, 267, 2705, 267, 602, 596, 1058, 7340, 827, 22048, 538, 2489, 563, 300, 2814, 476, 273, 281, 645, 12224, 568, 519, 7887, 9337, 540, 782, 942, 563, 7212, 621, 568, 9090, 513, 1390, 20014 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]